write the slope-intercept form of the equations of the line described


1. through (1,3), perpendicular to y=x-4


2. through (3,1), parallel to y=-x-4

Answers

Answer 1

1. The equation of the perpendicular line is: y = -x + 4

2. The equation of the parallel line is: y = -x + 4

What are the Equations of Parallel and Perpendicular Lines?

The equations of two lines that are parallel to each other will have the slope (m), while the equations of two lines that are perpendicular to each other will have slope values that are negative reciprocals of each other.

The slope-intercept form for the equation of a line is, y = mx + b, where b is the y-intercept and m is the slope of the line.

1. The slope (m) of y = x - 4 is 1. The line that is perpendicular to y = x - 4 would have a slope (m) of -1.

Substitute (a, b) = (1, 3) and m = -1 into y - b = m(x - a):

y - 3 = -1(x - 1)

Rewrite in slope-intercept form:

y - 3 = -x + 1

y = -x + 1 + 3

y = -x + 4

2. The slope (m) of y = -x - 4 is -1. The line that is parallel to y = -x - 4 would have a slope (m) of -1.

Substitute (a, b) = (3, 1) and m = -1 into y - b = m(x - a):

y - 1 = -1(x - 3)

Rewrite in slope-intercept form:

y - 1 = -x + 3

y = -x + 3 + 1

y = -x + 4

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Related Questions

A T-shirt vendor
sells yellow shirts and
blue Shirts at a ratio of
1:4. What percent of the
Shirts are yellow?

Answers

The percentage of the T-shirt that are yellow will be 20%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A T-shirt vendor sells yellow shirts and blue Shirts at a ratio of 1: 4.

The ratio of the yellow T-shirt is given as,

Yellow ratio = 1 / (4 + 1)

Yellow ratio = 1 / 5

Then the percentage of the T-shirt that are yellow will be given as,

P = [1/5] x 100

P = 0.20 x 100

P = 20%

The percentage of the T-shirt that are yellow will be 20%.

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Please answer the question and help me pass​

Please answer the question and help me pass

Answers

Answer:

10 *6= 60

60÷2=30

1÷2×b×h formula

answer- 30

if a study with a total sample size of 12 measures 7 successes, in how many different sequences could these successes have occurred?

Answers

The number of different sequences in which the 7 successes could have occurred is 792.

To calculate the number of different sequences, we can use the concept of permutations. Since we have a total sample size of 12 and 7 successes, we need to determine the number of ways these successes can be arranged within the sample.

The formula for permutations is given by nPr = n! / (n - r)!, where n is the total number of items and r is the number of items to be arranged.

In this case, we have n = 12 (total sample size) and r = 7 (number of successes). Plugging these values into the formula, we get:

12P7 = 12! / (12 - 7)!

= 12! / 5!

= (12 * 11 * 10 * 9 * 8) / (5 * 4 * 3 * 2 * 1)

= 792

Therefore, there are 792 different sequences in which these 7 successes could have occurred within the sample of size 12.

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pls help my mom will literally scream at me lol . thank you sm:)

pls help my mom will literally scream at me lol . thank you sm:)

Answers

Answer:

The amount Tobie invests in a bank, P = $25

The annual compound interest rate, i = 4%

a. The principal is amount invested in the bank, P = $25

The annual interest rate, i = 4%

b. The function that represents Tobie's account balance, A, after t years is given as follows;

\(A(t) = P \cdot (1 + i)^t\)

Where;

A(t) = The amount in the account after t years

P = The principal amount

i = The annual compound interest rate

t = The number of years

c. The values to place in the table are found as follows;

At t = 0, \(A(0) = 25 \times(1 + 0.04)^0\)  = 25

At t = 10, \(A(10) = 25 \times(1 + 0.04)^{10}\) = 37

The given table is presented as follows;

\(\begin{array}{ccc}t&&A(t)\\0&&25\\10&&37\end{array}\)

Step-by-step explanation:

pls help my mom will literally scream at me lol . thank you sm:)

help me with this question please

help me with this question please

Answers

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Katy buys 2 DVDs every 2 weeks.How many DVDs. Will she buy in 14 weeks?​

Answers

Answer:

Step-by-step explanation:

If Katy buys 2 DVDs every 2 weeks, it the same as saying 1 DVD every week.

14 ÷ 2 = 7

2 × 7 = 14

1 × 14 = 14

Answer:21 dvds

Step-by-step explanation:

Set up a proportion in terms of DVDs to weeks and solve.

3/2 = x/14

(2)(x) = (3)(14)

2x = 42

x = 21

Therefore, Katy will buy 21 DVDs in 14 weeks.

brainliest pls?

16.) The population of Wolf County was 12,390 in 2000 and 13,090 in 2010. Assuming that population growth in this county is linear, find the following:
b.) When will the population reach 21,000 people?
c.) When did the first settlers arrive in Wolf County?

Answers

Assuming population increase has been linear here is the given data from the problem.

13090 - 12390 = 700 people
2010 - 2000 = 10 years
700 / 10 = 70 people per year

Based on the data, here is our equation
y = 70x + 13,090

b) 21,000 = 70x + 13,090
x = 113 years
113 + 2010 = Answer = year 2123

c) 0 = 70x + 13,090
x = -187
-187 + 2010 = Answer = year 1823

Input and outputRule: the output is t-3Input t: 17, 20, 22, 24Output r: ?

Answers

The output is given by:r= t-3

For the inputs,

t=17

The output is

r=17-3=14

For the input, t=20

The output is:

r=20-3=17

For the input, t=22

The output is

r=22-3=19.

For the input, t=24

The output is

r=24-3=21

When solving this system by elimination, which variable is the most convenient to eliminate,
x or y?
2x + y = 7
3/2 x - y = 7/2

Answers

Answer:

Y is the appropriate variable and the most easiest and convenient to eliminate

name 2x + y = 7 as equation i

and 3/2 x - y = 7/2 as equation ii

then add equation i and ii together

(3/2 + 2) x + y - y = (7 + 7/2)

(7/2) x = (21/2)

x = 3

then put in x = 3 in equation i

4 + y = 7

x = 7 - 4

x = 3

Therefore x = 3 and y = 3

round these numbers to the nearest 1000

8453​

Answers

Answer 8000

This is because the number in the hundreds spot is equal to 4

Mary’s yard is a mess. She needs to hire someone to prune her trees and shrubs. A landscaping service she calls quotes her a price of $15 consultation fee plus $8 an hour for the actual work. Mary’s neighbor has offered to help her out. She doesn’t charge a consultation fee, but does charge $10 an hour for her work. Who do you think Mary should hire for a 3-hour job? When, if at all, would it be more economical to hire the other service. (Set up and solve a system of equations to answer this question.) a. Mary should hire her neighbor; if there was more than 7.5 hours of work she should hire the landscaping service. b. Mary should hire her neighbor; if there was more than 4.2 hours of work she should hire the landscaping service. c. Mary should hire the landscaping service; if there was more than 7.5 hours of work she should hire her neighbor. d. Mary should hire the landscaping service; if there was more than 4.2 hours of work she should hire her neighbor.

Answers

Answer:

I think it's C

Step-by-step explanation:

Maey should hire a landscaping service and if ther is more than 7.5h she could hire her neighbour

Answer:

Please mark me brainliest and I hoped this helped!

She should ask her neighbor to help her.

Step-by-step explanation:

We can use equations to help us figure out this answer.

8x + 15 = y

10x = y

If she has a 3 hour job, we can use 3 instead of x.

8(3) + 15 = y

24 + 15 = y

30 = y for the landscaping service

10(3) = y

30 = y for a neighbors help

It will cost her 9 dollars less, so she should go with the neighbor.

intermediate models of integration are different from the enemies and allies models because

Answers

Intermediate models of integration differ from the enemies and allies models due to their approach in fostering collaboration and cooperation between different entities while maintaining a certain degree of autonomy and independence.

Intermediate models of integration, in contrast to enemies and allies models, aim to establish a framework where entities can work together while retaining their individual identities and interests. These models recognize that complete integration or isolation may not be the most optimal or feasible approaches. Instead, they emphasize the importance of collaboration and cooperation between different entities, such as organizations or countries, while respecting their autonomy.

In intermediate models of integration, entities seek to identify shared goals and interests, leading to mutually beneficial outcomes. They acknowledge the value of diversity and differences in perspectives, considering them as assets rather than obstacles. This approach encourages open communication, negotiation, and compromise to bridge gaps and find common ground. Rather than viewing other entities as adversaries or allies, the emphasis is on building relationships based on trust, transparency, and shared values.

Intermediate models of integration often involve the establishment of frameworks, agreements, or platforms that facilitate collaboration while allowing for flexibility and adaptation to changing circumstances. These models promote inclusivity, recognizing that integration can be a complex process that requires active participation from all involved entities. By combining the strengths and resources of different entities, intermediate models of integration strive to achieve collective progress and shared prosperity while acknowledging the importance of maintaining individual identities and interests.

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It takes your equipment 3 minutes to travel 264 feet. what speed is the equipment traveling?

Answers

Answer:

To determine the speed, we can use the formula:

speed = distance / time

where distance is measured in feet and time is measured in minutes.

In this case, the distance is 264 feet and the time is 3 minutes. Plugging these values into the formula, we get:

speed = 264 feet / 3 minutes

simplifying, we get:

speed = 88 feet/minute

Therefore, the equipment is traveling at a speed of 88 feet per minute.

A rectangle formed by a 30cm wire , if the length of the rectangle was twice its width , then what is the area of the rectangle ?
A.15 B. 150
C. 300 D. 50

Answers

Answer:

Step-by-step explanation:

D

Adelynn and Kiyomi went to the bakery and bought some packages of cookies. Adelynn bought 270 cookies. Kiyomi bought 4 more packages than Adelynn and had 630 cookies. How many cookies are in one package

Answers

Answer:

90 Cookies

Step-by-step explanation:

If a person places their phone number on the do-not-call registry, how many years does it stay on the list before it is eligible again for cold calling

Answers

When an individual places their phone number on the Do Not Call (DNC) Registry, it remains there permanently, and telemarketers are prohibited from making unsolicited calls to that number until the individual requests to be removed from the list.

When an individual places their phone number on the Do Not Call (DNC) Registry, it remains there permanently, and telemarketers are prohibited from making unsolicited calls to that number until the individual requests to be removed from the list. This list is managed by the Federal Trade Commission (FTC), which enforces the Telephone Consumer Protection Act (TCPA) in the United States. If someone's phone number is on the DNC registry, the registry rules apply indefinitely. This means that even if the individual's phone number is still listed after a period of time, telemarketers are prohibited from calling that number. If the individual wishes to receive telemarketing calls again, they must remove their phone number from the list by dialing the DNC registry's phone number, which is 1-888-382-1222. The process of removing a phone number from the list is a simple one. Dial the number on your phone, and then follow the instructions that the voice prompt gives you. Furthermore, it is important to know that calls from organizations that you have given permission to call you are still allowed even if your number is on the DNC registry.

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Answer ASAP. :) Thank you!

Answer ASAP. :) Thank you!

Answers

Answer:

c = 55

Step-by-step explanation:

I would solve this by cross multiplying, but some teachers don't appreciate you skipping a step like that. Instead:

\(\frac{5}{2} =\frac{c}{22}\)

First, multiply both sides by 2:

\(5=\frac{2c}{22}\)

Then, multiply both sides by 22:

\(2c=110\)

Now, just solve for c by dividing both sides by 2:

\(c=55\)

Answer:

C = 55

Step-by-step explanation:

To figure out c you must first isolate c so there shouldn't be any other numbers or signs (addition, subtraction, division, and multiplication) on the same side of the equal sign as variable C.

The inverse of dividing 22 is multiplying 22 on both sides of the equation.

You would get 22/1 * 5/2 = C. 22 * 5 is 110 and 1 * 2 is still 2 so 110/2 = C.

Enter 110/2 into the calculator and you would get C = 55

Bryans gocket team is purchasing jersys. The company charges $250 for the onetime set-up fee and $23 for each printed jersey which expression repressents the total cost of x number for the team

Answers

Given:

The company charges $250 for the onetime set-up fee and $23 for each printed jersey.

To find:

The expression that represents the total cost of x number for the team.

Solution:

We have,

Fixed charges = $250

Additional charges = $23 per printed jersey

Let x be the number of printed jersey. Then,

Additional charges = $23x

Total chargers = Fixed charges + Additional charges

                        = $(250 + 23x)

Therefore, the expression for the total charges is $(250 + 23x).

Help me with these please

Help me with these please

Answers

Answer:

1. Sound

Step-by-step explanation:

Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !! I know the first one and only the first one ><

Echoing off a cliff and frequency

Find a vector equation with parameter t for the line of intersection of the planes x y z=2 and x z=0.

Answers

The vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0 is r(t) = <0, 2, 0> - t<1, -1, 0>.

To find a vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0, we can solve the system of equations formed by the planes.
First, let's solve for y in terms of x and z from the equation x + y + z = 2. Rearranging the equation, we have y = 2 - x - z.
Now, substitute this expression for y in the equation x + z = 0. We have x + (2 - x - z) + z = 2, which simplifies to 2 - z = 2.
Solving for z, we find z = 0.
Substituting z = 0 into the equation x + z = 0, we have x = 0.
Now that we have the values of x, y, and z, we can form a vector equation for the line of intersection as follows:
r(t) =  = <0, 2 - x - z, 0> = <0, 2, 0> - t<1, -1, 0>.

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V + Iwh

I = 32, w = 14, and h = 7

V = ___

Options:

A: 53

B: 3,136

C: 448

Please show your work

Answers

Equation V + Iwh , I = 32, w = 14, and h = 7, V = -3,136. The correct answer is B.

To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:

1. V + Iwh = V + (32)(14)(7)
2. V + 3,136 = V + 3,136
3. Subtract 3,136 from both sides of the equation: V = -3,136

The correct answer is option B: 3,136. Here is the solution in HTML format:

To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:

V + Iwh = V + (32)(14)(7)
V + 3,136 = V + 3,136
Subtract 3,136 from both sides of the equation: V = -3,136

The correct answer is option B: 3,136.

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Find the rectangular coordinates of the point(s) of intersection of the polar curves r = 5 sin(theta) and r = 5 cos(theta)|. a) (0, 0)| and (5, 5)| b) (0, 0)| and (5/2, 5/2)| c) (0, 0)| and (5/4, 5/4)| d) (1, 1)| and (5/4, 5/4)| e) (0, 0)| and (-5/2, -5/2)|

Answers

The coordinates of the first point of intersection in rectangular form are (x, y) = ((5/2), (5/2)).

To find the points of intersection between the polar curves r = 5 sin(θ) and r = 5 cos(θ), we need to equate the two equations and solve for θ. Let's start by setting the two equations equal to each other:

5 sin(θ) = 5 cos(θ)

Dividing both sides by 5 gives:

sin(θ) = cos(θ)

Now, we can use the trigonometric identity sin(θ) = cos(90° - θ). Replacing cos(θ) with sin(90° - θ), the equation becomes:

sin(θ) = sin(90° - θ)

Since the sine function is equal to itself for any angle plus multiples of 360°, we can write:

θ = 90° - θ + 360°  x  n

Here, n represents any integer value. Solving for θ, we get:

2θ = 90° + 360°  x  n

Dividing both sides by 2, we have:

θ = 45° + 180°  x  n

Now, let's substitute this value of θ back into the original equation r = 5 sin(θ) (or r = 5 cos(θ)) to find the corresponding r-values.

For θ = 45°:

r = 5 sin(45°) = 5 cos(45°)

Using the values of sine and cosine for 45°, we get:

r = 5  x  √(2)/2 = 5  x  √(2)/2

Simplifying further, we have:

r = (5/2)  x  √(2)

Therefore, the coordinates of the first point of intersection are (r, θ) = ((5/2)  x  √(2), 45°).

Now, let's consider the value of θ for n = 1:

θ = 45° + 180°  x  1 = 45° + 180° = 225°

For θ = 225°:

r = 5 sin(225°) = 5 cos(225°)

Using the values of sine and cosine for 225°, we get:

r = 5  x  (-√(2)/2) = -5  x  √(2)/2

Simplifying further, we have:

r = (-5/2)  x  √(2)

Therefore, the coordinates of the second point of intersection are (r, θ) = ((-5/2)  x  √(2), 225°).

To convert these polar coordinates into rectangular coordinates, we can use the formulas:

x = r  x  cos(θ) y = r  x  sin(θ)

For the first point of intersection, (r, θ) = ((5/2)  x  √(2), 45°):

x = ((5/2)  x  √(2))  x  cos(45°) = (5/2)  x  √(2)  x  √(2)/2 = (5/2) y = ((5/2)  x  √(2))  x  sin(45°) = (5/2)  x  √(2)  x  √(2)/2 = (5/2)

Hence the correct option is (b).

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Juan organizes the stamps in his collection by country and by the decade in which they were issued. the prices he paid for them at a stamp shop were: brazil and france, cents each, peru cents each, and spain cents each. (brazil and peru are south american countries and france and spain are in europe.)how many of his european stamps were issued in the

Answers

The number of European stamps issued in the 1990s is equal to  * 0.9 =  stamps.

Let's assume Juan has the same number of stamps from Brazil and France, and that the stamps from Peru and Spain are of equal numbers.

The total number of European stamps Juan has is equal to the number of stamps from France and Spain, which is 2N, where N is the number of stamps from each country.

The number of stamps from France and Spain issued in the 1990s is equal to N * (90% of the total number of stamps)

Therefore, the number of stamps from France and Spain issued in the 1990s is equal to N * 0.9.

Using the given information, we can calculate N:

N = (Brazil + France) / (Cents + Cents)

N = (Cents + Cents) / (Cents + Cents)

N = Cents / Cents

Therefore, the number of European stamps issued in the 1990s is equal to  * 0.9 =  stamps.

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Rewrite 4/6 and 1/3 as a unite rate

Rewrite 4/6 and 1/3 as a unite rate

Answers

Answer: B

Step-by-step explanation: Hope this helps :)

A runner is running a 10 km race. It takes her 17.5 minutes to reach the 2.5 km mark. at that rate, how long would it take her to run the whole race?

Answers

Answer:

time = 70 minutes

A plant that floats on the surface of rural bodies of water is known as duckweed. The initial mass of a population of duckweed is 500g The mass of the population triples every Ͷͷ hours and can be represented by the function m(t)= 500x3^t/45 where (t) is time in hours. Determine how many hours it would take for the duckweed to grow to a mass triple the original size.

Answers

Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.

Explain function.

The mathematics curriculum involves examining numbers, the equation the environment we live in, structures, and both actual and hypothetical locations. A function is a variable representation of the relationship between the quantities of intake and the corresponding outputs for each. Simply explained, a function is a collection of inputs that, when combined, provide unique outputs for each input.

Here,

Given :

mass of a population of duckweed is 500g

=>  function m(t)= 500x³^t/45

So,

=> t = 45 hours

Since it is given that the mass of the population of the duckweed triples every 45 hours

it is clear that the time taken for the duckweed to grow a mass triple the original size will be 45 hours .

Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.

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graph the inequalities

2y+8x<4
5x+20 is greater than or equal to -10y

Answers

The graph to the inequality is added as an attachment

How to determine the graph to the inequality

From the question, we have the following parameters that can be used in our computation:

2y+8x<4

5x+20 is greater than or equal to -10y

Express properly

2y+8x<4

5x+20 > -10y

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, the shaded area has a coordinate of (1.143, -2.571)

Hence, the solution is (1.143, -2.571)

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graph the inequalities 2y+8x&lt;45x+20 is greater than or equal to -10y

What is “b” in the following quadratic equation:
4x^2-3x-11=0

Answers

Answer:

The value of b in the quadratic equation is -3

Step-by-step explanation:

4x²-3x-11=0

a = 4

b = -3

c = -11


(5 pts) A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0. Select all
the statements that must be true about the graph of f.
a.
The y-intercept of the graph is at (0,c).
b.
The graph has an x-intercept at (c,0).
C.
When a < 0 the graph is open downward.
d.
The graph has two x-intercepts.
e.
If b = 0, then the vertex is on the y-axis.

Answers

Answers:

a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.

If the value of a is less than zero then the parabola is open downward. Then the correct option is C.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0.

a. The y-intercept of the graph is at (0,c). This is incorrect.

b. The graph has an x-intercept at (c,0). This is incorrect.

c. When a < 0 the graph is open downward. This is correct.

d. The graph has two x-intercepts. This is incorrect.

e. If b = 0, then the vertex is on the y-axis. This is incorrect.

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A rectangle has one corner in quadrant 1 on the graph of y=9-x^2 another at the origin a third on the positive y-axis and the fourth on the positive x-axis

Answers

The maximum area is, A = 10.392

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

y = 9-x²

first, Area = x × y

Area = x(9-x²)

Now,

the Domain: (0, 3)

Also, differentiating

A' = 0

9 - 3x² = 0

x²= 9/3

x =±3

So, the maximum area is

A= 1.732 x 6

A = 10.392

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A zorb is a large inflated ball within a ball. The formula for the radius of a sphere with surface area A is given by [tex]r = \sqrt{} \frac{a}{4\pi} [/tex]Calculate the radius of a standard zorb whose outside surface area is 21.24 sq m. ILL GIVE A BRAINLIEST!!!Read this adapted excerpt from "The Third Philippic," written by Demosthenes in 342 B.C.:It is this fate, I solemnly assure you, that I dread for you, when the time comes that you make your reckoning, and realize that there is no longer anything that can be done. May you never find yourselves, men of Athens, in such a position! Yet in any case, it were suffer greatly, than to do anything out of servility towards Philip [or to sacrifice any of those who speak for your good]. A noble recompense did the people in Oreus receive, for entrusting themselves to Philips friends, and thrusting Euphraeus aside! And a noble recompense the democracy of Eretria, for driving away your envoys, and surrendering to Cleitarchus! A noble clemency did he show to the Olynthians, who elected Lasthenes to command the cavalry, and banished Apollonides! It is folly, and it is cowardice, to cherish hopes like these, to give way to evil counsels, to refuse to do anything that you should do, to listen to the advocates of the enemys cause, and to fancy that you dwell in so great a city that, whatever happens, you will not suffer any harm.In this speech, Demosthenes tries to warn people about an attack on Greece. Which statement best describes Demosthenes's claim?A. Demosthenes wants Athenians to believe that Athens is secure and no enemy can enter their country.B. Demosthenes warns Athenians not to be nave and to be prepared for any circumstances.C. Demosthenes assures Athenians that nothing will change as long as their enemies dont attack the city.D. Demosthenes claims that Athens will be destroyed because several Athenians have joined the enemys side. what is the greatest common factor of 400 and 560?i need an answer asap Assume that all variables are implicit functions of time t. Find the indicated rate. x^2 + 5y^2 + 2y = 75; dx/dt = 14 when x = 6 and y = -3: find dy/dt Does photosynthesis take place in animals, plants, or both animals and plants?only animalsonly plantsboth animals and plants QUESTION 24 A value of -0.95 has been calculated for the Pearson correlation coefficient. Which of the following is true? A. A mistake has been made in the calculations B. The two variables are ne "progressive weakness, dec strength, hand muscle atrophy, diffuse hyperreflexia and fascicultations on hands and arms, normal sensory exam;amyotrophic lateral sclerosis (ALS)--death of both upper and lower motor neurons in the motor cortex of the brain, the brain stem, and the spinal cord--Stephen Hawking disease--UMN and LMN signs--rapidly progressive weakness with fasciculations eventually leading to muscle atrophy, spasticity, dysarthria, dysphagia, respiratory compromise, death from respiratory failure" The nmda receptor is unusual in that it is ________-dependent and ________- dependent.A. Voltage; neurotransmitter.B. Current; neurotransmitter.C. Voltage; neurontransmitter THIS QUESTION HAS TWO PARTS: Write an equation AND answer the last question.A plumber charges $30 for a service call plus $75 per hour of service.Write an equation for the cost, C, after h hours of service. What will be the total cost for 4 hours of work? Pat and Jeff walk to dock at 2 mph, jumped into the boat, and motored to Dillon at 8mph. If the total distance is 13 miles and trip took 11/4 in all, how far did boat go? What happens if the sequence is changed (mutations)? express -32/243 into power notation of the neo-freudian theorists, the one who stimulated the most discussion about religion was a. erich fromm. b. alfred adler. c. carl jung. d. karen horney. Which lists all of the x-intercepts of the graphed function? (0, 6)(1, 0) and (2, 0)(1, 0), (2, 0), and (3, 0)(1, 0), (2, 0), (3, 0), and (0, 6) Common stock value-Constant growth McCracken Roofing, Inc, common stock paid a dividend of$1.47per share last year. The company expects earnings and dividends to grow at a rate of7%per year for the foreseeable future. a. What required rate of return for this stock would result in a price per share of$22?b. If McCracken expects both earnings and dividends to grow an an annual rate of11%, what required rate of return would result in a price per share of$22? hypothesize how you think the process of making ice cream specifically relates to energy transfer 8 is 20% of 32, is it true or false? Read the passage from sugar changed the world. What claim do the authors make in this passage? A production process consists of a three-step operation. The scrap rate is 19 percent for the first step and 10 percent for the other two steps. a. If the desired daily output is 486 units, how many units must be started to allow for loss due to scrap? (Do not round intermediate calculations. Round up your final answer to the next whole number.) Answer is complete and correct. b. If the scrap rate for each step could be cut in half at every operation, how many units would this save in terms of the scrap allowance? (Do not round intermediate calculations. Round up your final answer to the next whole number) Answer is complete but not entirely correct. Read the poem. Spring and Allby William Carlos WilliamsBy the road to the contagious hospitalunder the surge of the bluemottled clouds driven from thenortheasta cold wind. Beyond, thewaste of broad, muddy fieldsbrown with dried weeds, standing and fallenpatches of standing waterthe scattering of tall treesAll along the road the reddishpurplish, forked, upstanding, twiggystuff of bushes and small treeswith dead, brown leaves under themleafless vinesLifeless in appearance, sluggishdazed spring approachesThey enter the new world naked,cold, uncertain of allsave that they enter. All about themthe cold, familiar windNow the grass, tomorrowthe stiff curl of wildcarrot leafOne by one objects are definedIt quickens: clarity, outline of leafBut now the stark dignity ofentranceStill, the profound changehas come upon them: rooted, theygrip down and begin to awakenPart AWhat is the central idea of the poem "Spring and All" by William Carlos Williams?After a barren and desolate winter, spring slowly brings new growth and with it, hope.Winter has ended, and spring is finally fully alive with beautiful greenery.The way to the hospital is windy and cold and filled with lifeless trees and bushes.The winter landscape is desolate with leafless vines and trees along the muddy road.Question 2Part BWhich detail from the poem best develops the central idea identified in Part A?Now the grass, tomorrow / the stiff curl of wildcarrot leafstuff of bushes and small trees / with dead, brown leaves under themStill, the profound change / has come upon them: rooted, they / grip down and begin to awakenBeyond, the / waste of broad, muddy fields / brown with dried weeds, standing and fallen