What is the y-intercept if the linear function graphed here?
A (2,0)
B (0,-1)
C (0,-2)
D (0,1)

Answer:

P=22.6, T=67.4

Step-by-step explanation:

\(sin(P)=\frac{5}{13}\\ P= 22.6\\\\tan(T)=\frac{12}{5}\\ T=67.4\\\\cos(T)=\frac{5}{13} \\T=67.4\)

Answer:

d

Step-by-step explanation:answer is d on edg

Answer:

Cost Price = $1800

Step-by-step explanation:

Let cost price (CP) be x

Selling price(SP) = 1998

Profit = Selling price - cost price = 1998 - x

  \(profit \% = \frac{SP - CP}{CP}\)

       \(\frac{11}{100} = \frac{1998-x}{x}\)

     \(0.11 = \frac{1998}{x} - 1\\\\1 + 0.11 = \frac{1988}{x}\\\\1.11 = \frac{1998}{x}\\\\x = \frac{1998}{1.11} = 1800\)

The height of the given cylinder can be expressed as (3x^4 + 35x^3 + 127x^2 + 145x + 50) / (x^2 + 10x + 25).

To express the height of the cylinder algebraically, we'll first need to recall the formula for the volume of a cylinder:

Volume = π * radius² * height

Given the volume of the cylinder is π(3x^4 + 35x^3 + 127x^2 + 145x + 50) and the radius is (x + 5).

Step 1: Substitute the given volume and radius into the volume formula:
π(3x^4 + 35x^3 + 127x^2 + 145x + 50) = π * (x + 5)² * height

Step 2: Divide both sides of the equation by π to simplify:
3x^4 + 35x^3 + 127x^2 + 145x + 50 = (x + 5)² * height

Step 3: Expand the (x + 5)² term:
3x^4 + 35x^3 + 127x^2 + 145x + 50 = (x^2 + 10x + 25) * height

Step 4: Now, we want to isolate the height term. To do this, divide both sides of the equation by (x^2 + 10x + 25):
height = (3x^4 + 35x^3 + 127x^2 + 145x + 50) / (x^2 + 10x + 25)

So the height of the cylinder is algebraically expressed as:
height = (3x^4 + 35x^3 + 127x^2 + 145x + 50) / (x^2 + 10x + 25)

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Answer:

16

Step-by-step explanation:

x/12=5/3-1/3

x/12=4/3

3x=12×4

3x=48

x=16

Answer is in the picture attached

The net operating income will be $ 5000.

The profitability of real estate assets that produce income is evaluated using a formula known as net operating income (NOI). NOI is the total revenue from the asset less all running costs that are deemed to be absolutely required.

Here we have  

A product has a selling price of $10 per unit, variable expenses of $6 per unit, and total fixed costs of $35,000.

In total 10,000 units are sold  

The net operating income will be computed by Subtracting all expenditures from all money collected on the product.    

Net operating income = ($10 - $6) × 10000 - $ 35000

= ($10 - $6) × 10000 - $ 35000  

=  $ 40000 - $ 35000

= $ 5000    

Therefore,

The net operating income will be $ 5000.

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Answer:

= 1

Step-by-step explanation:

9+(−4)(2)

=1

Answer:

14.42 units

Step-by-step explanation:

Assuming that this is a right triangle (i.e ∠ACB = 90°), we can use the Pythagorean formula to solve this:

AB² = AC² + BC²

AB² = 12² + 8²

AB = √(12² + 8²)

AB = 14.42 units

Answer:

-5

Step-by-step explanation:

f(x) =2x-1

f(-2)=2(-2)-1

2×(-2) = -4 -1= -5

f(-2)= -5

The inputs that are solutions for the inequality are:

x = 2

x= 1

Here we have the following inequality:

-5x < 2

We want to see which of the given inputs is a solution for this.

First we can isolate the variable in our inequality, so we get:

-5x < 2

-2 < 5x

-2/5 < x

-0.4 < x

So any value larger than -0.4 is a solution, from the given options, the two that are solutions are:

x = 1

x = 2.

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Answer:

03 +9

Step-by-step explanation:

tell me if it was right and have a nice day ;)

The attached graph represent the points in the domain -6 < x ≤ -2

The function is given as:

\(f(x) = \left[\begin{array}{ccc}-2&-6 < x \le -1\\1&-1 < x \le 2 & \\5 & 2 < x \le 4\end{array}\right\)

The question says that we plot two points in the domain -6 < x ≤ -2

The domain -6 < x ≤ -2 means that the values of x are greater than -6, but they do not exceed -1

The function at this interval means that all values of x have an output value of -2

So, the two points to plot could be (-5,-2) and (-1,-2)

See attachment for the graph of the points

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Answer:

BCDF

Step-by-step explanation:

B. -2(4t+16)

C.-4t(2+8)

D. -4(2t+8)

F. -8(t+4)

Answer:

-20z + 2

Step-by-step explanation:

4(-5z + 2) + (-6) =

= -20z + 8 - 6

= -20z + 2

Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

Take the square root of each side.

\(\sf \sqrt{x^{2} } =\sqrt{25} \\\\\\ x=\± 5\)

Step-by-step explanation:

So the question is easy ....The thing that you need to do here is ...You should divide area by length....and you will get your answer....

Area of rectangular parking lot = 7081 m²

length of parking lot = 97 m

Width = ?

Now,

Area = l × b

7081 = 97 × b

7081 / 97 = b

b = 73 m

Hence the width is 73 m....

Answer:

x= -5

Step-by-step explanation:

First get X alone by dividing both sides by -4.2

-4.2x=21

-4.2. -4.2

then you're left with X = -5

To verify your answers, multiply -5 by -4.2

When we need to find out whether the data we collected is significant enough to reject the hypothesis, the significance test that should be used is a Two proportion z-test. So, the correct answer is D.

A significance test is a statistical method for determining if the outcome of a study or experiment is statistically significant. The null hypothesis is tested against the alternative hypothesis in a significance test. The null hypothesis refers to a population characteristic that is expected to be true or that is maintained for simplicity, while the alternative hypothesis is what we suspect to be true.

A two-proportion z-test is a statistical analysis used to determine whether two populations' proportions are different when the samples are larger than 30 or the populations are normally distributed.

The two-proportion z-test's null hypothesis is that the two populations' proportions are equal, while the alternative hypothesis is that they are different.

In the given problem, we have two random samples. In a random sample of 60 shoppers chosen from the shoppers at a large suburban mall, 36 indicated that they had been to a movie in the past month.

In an independent random sample of 50 shoppers chosen from the shoppers in a large downtown shopping area, 31 indicated that they had been to a movie in the past month. Hence, we need to compare the two proportions to determine if they are different or not.

Therefore, the significance test that should be used is a Two proportion z-test to determine whether these data provide sufficient evidence to reject the hypothesis that the proportion of shoppers at the suburban mall who had been to a movie in the past month is the same as the proportion of shoppers in the large downtown shopping area who had been to a movie in the past month.

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The correct option is B: V = π ∫[0,2] ((y + 2)/2 - 1)^2 dy

This integral will give us the Volume of the solid generated when region R is revolved about the vertical line x = 1.

The volume of the solid generated when region R is revolved about the vertical line x = 1, we can use the method of cylindrical shells.

The formula for the volume of a solid generated by revolving a region R about a vertical line is given by:

V = 2π ∫[a,b] x * f(x) dx

In this case, since we are revolving the region R about the vertical line x = 1, the limits of integration will be from y = 2 (where the horizontal line y = 2 intersects the graph y = 2x - 2) to y = 0 (where the graph y = 2x - 2 intersects the x-axis).

Let's analyze the options provided:

A. π ∫[1,2] ((y + 2)/2 - 1)^2 dy

B. π ∫[0,2] ((y + 2)/2 - 1)^2 dy

C. π ∫[1,2] (2 - (2x - 2))^2 dy

D. π ∫[0,2] ((y + 2)/2)^2 - 1^2 dy

Option A: The limits of integration are incorrect. We need to integrate with respect to y, not x.

Option B: This appears to be the correct integral setup, integrating with respect to y and using the correct limits of integration.

Option C: This option incorrectly uses the expression (2 - (2x - 2))^2, which doesn't match the function y = 2x - 2.

Option D: The limits of integration are incorrect. We need to integrate from y = 2 to y = 0.

Therefore, the correct option is B:

V = π ∫[0,2] ((y + 2)/2 - 1)^2 dy

This integral will give us the volume of the solid generated when region R is revolved about the vertical line x = 1.

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please give brainliest

Answer:

The general equation of the cost of the billboard can be represented as follows:

y = 25 + 15x

In this equation:

"y" represents the cost of the billboard

"x" represents the number of days that your advertisement remains on the billboard

The fixed cost of $25 is added to the product of the daily cost of $15 and the number of days "x" that the advertisement is up.

Please note that this equation assumes a linear relationship between the number of days and the cost.

Answer:

6.45

Step-by-step explanation:

6.9-6.0=0.9

0.9÷2=0.45+6=6.45

This is the middle between 18 and 21.

Hope this helps and give brainliest, thank me and rate it 5 please. :)

Answer:6.45

Step-by-step explanation:

Answer:

Step-by-step explanation:

i did it

Answer:

C B E

Step-by-step explanation:

Triangle ABC is congruent to Triangle CDA using the SSS rule.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

SSS rule states that,

If the three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

To prove:

ΔABC ≅ ΔCDA.

AB = DC ( given)

AD = BC (given)

AC = AC (common to both the triangles)

ΔABC ≅ ΔCDA ( By SSS rule )

Thus,

ΔABC ≅ ΔCDA by SSS rule.

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The equilibrium price and quantity for each pair of demand and supply functions are as follows:

a. Q = 10 - 2P

To find the equilibrium, we set the quantity demanded equal to the quantity supplied:

10 - 2P = P

By solving this equation, we can determine the equilibrium price and quantity. Simplifying the equation, we get:

10 = 3P

P = 10/3 ≈ 3.33

Substituting the equilibrium price back into the demand or supply function, we can find the equilibrium quantity:

Q = 10 - 2(10/3) = 10/3 ≈ 3.33

Therefore, the equilibrium price is approximately $3.33, and the equilibrium quantity is also approximately 3.33 units.

b. Q = 1640 - 30P

Setting the quantity demanded equal to the quantity supplied:

1640 - 30P = P

Simplifying the equation, we have:

1640 = 31P

P = 1640/31 ≈ 52.90

Substituting the equilibrium price back into the demand or supply function:

Q = 1640 - 30(1640/31) ≈ 51.61

Hence, the equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.

In summary, for the demand and supply functions given:

a. The equilibrium price is approximately $3.33, and the equilibrium quantity is approximately 3.33 units.

b. The equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.

In the first paragraph, we summarize the steps taken to determine the equilibrium price and quantity for each pair of demand and supply functions. We set the quantity demanded equal to the quantity supplied and solve the resulting equations to find the equilibrium price. Substituting the equilibrium price back into either the demand or supply function allows us to calculate the equilibrium quantity.

In the second paragraph, we provide the specific calculations for each pair of functions. For example, in case a, we set Q = 10 - 2P equal to P and solve for P, which gives us P ≈ 3.33. Substituting this value into the demand or supply function, we find the equilibrium quantity to be approximately 3.33 units. We follow a similar process for case b, setting Q = 1640 - 30P equal to P, solving for P to find P ≈ 52.90, and substituting this value back into the function to determine the equilibrium quantity of approximately 51.61 units.

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Answer:

it will take 8 minutes

Step-by-step explanation:

Here, we want to

calculate the amount of time taken to fill the tank given the total amount of water in the tank.

Mathematically, the formula go

use is ;

w= 100 + 55t

540 = 100 + 55t

55t = 540-100

55t = 440

t = 440/55

t = 8

It is impossible to create an equation for a circle given exactly two points.

Let's consider the two basic equations of circle, i.e, the standard equation and general equation.

Now, Standard equation of circle with center (h, k) and radius r is represented as

(x−h)² +(y−k)² =r²

Note here we need values of three unknowns, h, k, r to get equation of a certain circle.

The other general equation of circle is of the form

x² + y² + 2gx + 2fy + c = 0

Again, values of three unknowns (g, f and c) are necessary for obtaining equation of a certain circle. So in both cases, values of three unknowns are required to have an equation of a distinct circle. In order to calculate, the values of these three unknowns, we must first require three conditions that would be produced by three equations. Solving those equations, allows us to construct the equation of circle. So if only two points are given, then these gives two equations with three unknowns. It would be impossible to get three distinct values from two equations. So, there is no possible distinct circle for two points.

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The percentage error in x/y to four significant figures is 1.5355%

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We are given that x=41.5 and y=13.2 correct to one decimal place.

Now we need to find the percentage error in x-y to four significant figures.

Max val of x 41.5 min 13.35

Max val of y 13.2 min 4.25

max value of x  41.5 = 3.1647

                   y   13.2

min value of x  13.35 = 3.069

                  y   4.35

The actual value of x  13.4 = 3.1163

                     y  =  4.3

Absolute error;

 3.1642  3.069 = 0.04785

Percentage Error;

0.04785 × 100 = 0.015355 × 100

=1.5355%

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