Find the equation of the line. The line is perpendicular to the graph of y=8x-3 and contains the point (4,-1)

Answers

Answer 1

Step-by-step explanation:

gradient if the line is 8

m1m2=-1

8m2=-1

so m2=-1/8

y--1/x-4=-1/8

8y+8=-x+4

8y+x=-4


Related Questions

What is the image of (-5,-8) after a reflection over the y-axis

Answers

Just asking. How are we supposed to answer this without some sort of picture with a graph or something? :/

Answer:

(-5,-8) reflected over the y-axis turns to (-5,8)

What is the image of (-5,-8) after a reflection over the y-axis

A cell phone plan costs $79 per month for 500 minutes. For each minute over 500, the customer is charged an additional $.20 per minute. Which equation can be used to calculate the monthly bill, y, if a person talked for x minutes over 500 in a month?

Answers

Answer:

$.20 × (x) + $79

Step-by-step explanation:

To find out how much needs to be paid, subtract the 500 from the total amount of minutes used to find the amount of minutes used over 500. Then, multiply the additional minute cost by the additional minutes and the add the normal price to that.

For example:

Say they used 560 minutes in a month. You would subtract 500 from 560 to get to get 60. Then, you would multiply 60 by $.20 to get $12. Then, add $12 to the original price of $79 to get $91, and that would be the total cost that month.

560 - 500 = 60 × $.20 = $12 + $79 = $91

Hope this helps!

X
Dogs
0
16
12
10
10
Name
Problem # 1 (worth 50 points)
Carlos and Clarita are making a lot of some of the issues they need to consider as part of their business plan to care for
cats and dogs while their owners are on vacation.
Cats
40
0
12
14
10
Space Used
A
Date
Space: Cat pens will require 6/r of space, while dog runs require 24/r. Carlos and Clarita have up to 360 f
available in the storage shed for pens and runs, while still leaving enough room to move around the cages.
Start-up costs: Carlos and Clarta plan to invest much of the $1280 they earned from their last business venture
to purchase cat pens and dog runs. It will cost $32 for each cat pen and $80 for each dog run
0-24 n 40-6n
Complete the table below based on the scenario. Determine whether the combinations of cats and dogs fit within the
conditions of the constraints listed above.
-
ZOOM +
. Pampering time constraint: (25 points)
2 TS
Cost
R0-580 40-$32-5
Period
Works?
Yes if Used
Space 5360¹
and
Costs$1280
Points
10
10
10
10
10
Problem #2 (worth 50 points)
Carlos and Clarita have been worried about space and start-up costs for their pet sitting business, but they
realize they also have a limit on the amount of time they have for taking care of the animals they board. To
keep things fair, they have agreed on the following time constraints.
. Feeding time: Carlos and Clarita estimate that cats will require 6 minutes twice a day-moming and
evening to feed and clean their litter boxes, for a total of 12 minutes per day for each cat Dogs will
require 10 minutes twice a day to feed and walk, for a total of 20 minutes per day for each dog. Carlos
can spend up to 8 hours each day for the moming and evening feedings but needs the middle of the
day off for baseball practice and games.
Pampering time: The twins plan to spend 16 minutes each day brushing and petting each cat, and
20 minutes each day bathing or playing with each dog. Clarita needs time off in the morning for the
swim team and evening for her art class, but she can spend up to 8 hours during the middle of the
day pampering and playing with the pets.
Write each of these additional time constraints symbolically
. Feeding time constraint: (25 points)
a

XDogs016121010NameProblem # 1 (worth 50 points)Carlos and Clarita are making a lot of some of the issues

Answers

Answer:

problem 2

Step-by-step explanation:

The feeding time constraint for cats can be written symbolically as:

12 minutes/day * number of cats <= 8 hours/day

The feeding time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

The pampering time constraint for cats can be written symbolically as:

16 minutes/day * number of cats <= 8 hours/day

The pampering time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.

Answers

Answer:its a because its a

Step-by-step explanation:

Answer:

it is the letter a

Step-by-step explanation:

Triangle ABC is right triangle. The length of one leg is 80 centimeters, and the hypotenuse is 120 centimeters. What is the length, in centimeters, of the other leg?

Answers

The length of the other leg of the right triangle is; 89.44 centimetres

Right triangles and the Pythagoras theorem

According to the question;

We are required to determine the length, in centimetres of the other leg of the right triangle.

By the Pythagoras theorem;

Hyp² = Opp² + Adj²

Hence, It follows that;

120² = 80² + X²

x² = 14400-6400

x² = 80,000

Find the square root of both sides of the equation;

x = √80,000

x = 89.44 centimeters

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The following table contains the number of successors and failures for three categories of a variable. Test whether the proportions are equal for each category at the α= 0.1 level of significance.Category 1 Category 2 Category 3Failures 64 48 68Successes 78 55 841) State the hypotheses. Choose the correct answer below:a) H0: μ1= E1 and μ2=E2 and μ3=E3H1: At least one mean is different from what is expected.b)H0: The categories of the variable and success and failure are independent.H1: The categories of the variable and success and failure are dependent.c)H0: The categories of the variable and success and failure are dependent.H1: The categories of the variable and success and failure are independent.d)H0: p1−p2 = p3H1: At least one of the proportions is different from the others.

Answers

The correct answer is (d), i.e., the correct hypotheses are as follows:

\(H_o: p_1 = p_2= p_3\)

against

\(H_1:\) At least one of the proportions is different from the others.

In hypothesis testing, the objective is to reject the null hypothesis that's why the null hypothesis is always set against the desired result.

In this problem, there are three categories given, each having its individual proportions: \(p_1\), \(p_2\), and \(p_3\) .

The null hypothesis is that all proportions are equal, i.e.,

\(H_o: p_1 = p_2= p_3\)

and the alternative hypothesis is that at least any one of the proportions is not equal to the others, i.e.,

\(H_1:\) At least one of the proportions is different from the others.

Thus, option (d) is correct.

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The complete question is as follows:

The following table contains the number of successors and failures for three categories of a variable. Test whether the proportions are equal for each category at the α= 0.1 level of significance.

             Category 1 Category 2 Category 3

Failures       64              48             68

Successes   78              55             84

1) State the hypotheses. Choose the correct answer below:

a) H0: μ1 = E1 and μ2 = E2 and μ3 = E3

H1: At least one mean is different from what is expected.

b) H0: The categories of the variable and success and failure are independent.

H1: The categories of the variable and success and failure are dependent.

c) H0: The categories of the variable and success and failure are dependent.

H1: The categories of the variable and success and failure are independent.

d) H0: p1 = p2 = p3

H1: At least one of the proportions is different from the others.

What is the supplement to: 101 degrees?

Answers

Answer:

79 degrees

Step-by-step explanation:

180 - 101 = 79

25% of x = 75 what is x?

Answers

Answer:

x = 300

Step-by-step explanation:

25% of x = 75

(25x/100) = 75

25x = 7500

x = (7500/25)

x = 300

Thenks and mark me brainliest :))

Answer:

x = 300

Step-by-step explanation:

Let's solve your equation step-by-step.

25100x=75

Step 1: Simplify both sides of the equation.

14x=75

Step 2: Multiply both sides by 4.

4*(14x)=(4)*(75)

lines a and b are parallel. which angles is congruent to angle? 4

lines a and b are parallel. which angles is congruent to angle? 4

Answers

Answer:

ANGLE 5 IS CONGURENT TO ANGLE 4

PLEASE MARK BRAINLIEST

Please I need help on this

Please I need help on this

Answers

Answer:

1 3/5

Step-by-step explanation:

First put the wholes into the fraction:

8 1/5 = 40/5 + 1/5 = 41/5

6 3/5 = 30/5 + 3/5 = 33/5

Now the difference is a simple subtraction

41/5 - 33/5 = 8/5 = 1 3/5

Answer:

Step-by-step explanation:

22
1 point
If f (x) = 7– 41, what is f (-10)?

Answers

Answer:

f(x)+41 f(-10)=7

Step-by-step explanation:

8.G.B.6
The better definition of squares is

8.G.B.6The better definition of squares is

Answers

A number multiplied by itself.

What is square?

In mathematics, a square is a number that is obtained by multiplying a number by itself. It is also a geometric shape with four equal sides and four right angles. The area of a square is calculated by multiplying the length of one of its sides by itself. The formula for calculating the area of a square is A = s^2, where A is the area and s is the length of one side.

Squares have many important applications in mathematics, including in algebra, geometry, trigonometry, and calculus. They are used in the Pythagorean theorem, which relates to the sides of a right triangle, and they are used to represent variables in algebraic equations. Squares are also important in geometry, where they are used to construct geometric shapes and to calculate their areas and perimeters.

The better definition of squares is:

A number multiplied by itself.

In mathematics, a square refers to the product of a number multiplied by itself. For example, the square of 4 is 16, because 4 multiplied by 4 equals 16. Squares have a variety of important applications in mathematics, including in geometry, algebra, and calculus.

While a result that has been proved to be true is sometimes referred to as a "square" in certain contexts, it is not the primary definition of the term. Similarly, a triangle with a right angle is referred to as a "right triangle" or a "right-angled triangle," but not a square.

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8(4q-5) -7q=5(5q-8)

Answers

the answer is 0=0 ! have a nice dayyy:)

A beekeeper observes the growth of a bee population in a beehive. The beekeeper finds that the initial population of 125 bees doubles each week.
Which equation can be used to find the number of weeks, w, it takes for the number of bees in the beehive to reach 2,500?

A. 2,500 = 2+125w
B. 2,500 = 2(125)^w
C. 2,500 = 125+2w
D. 2,500 = 125(2)^w

Answers

The correct equation can be given by;  2,500 = 125(2)^w. Option D

How do you form equation from sentence?

If we have a sentence that we want to convert to equation;

Determine the mathematical relationships or procedures that are being described by carefully reading the statement.Any unknown quantities in the phrase should be given variables.To represent the processes or relationships, use conventional mathematical symbols.Create a clear and succinct written version of the equation.

We can see that the beekeeper finds that the initial population of 125 bees doubles each week thus the correct equation is; 2,500 = 125(2)^w.

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The correct equation can be given by;  2,500 = 125(2)^w. Option D

How do you form equation from sentence?

If we have a sentence that we want to convert to equation;

Determine the mathematical relationships or procedures that are being described by carefully reading the statement.

Any unknown quantities in the phrase should be given variables.

To represent the processes or relationships, use conventional mathematical symbols.

Create a clear and succinct written version of the equation.

We can see that the beekeeper finds that the initial population of 125 bees doubles each week thus the correct equation is; 2,500 = 125(2)^w.

Simplify to create an equivalent expression.

2(−2−4p)+2(−2p−1)

Choose 1 answer:

(Choice A)
A
-12p-6

(Choice B)
B
-10p-6

(Choice C)
C
-12p+6

(Choice D)
D
12p-6

Answers

Answer:

Choice A

Step-by-step explanation:

2(−2−4p)+2(−2p−1)

-4-8p-4p-2

-12p-6

The correct answer would be a

unding decimals to the nearest whole number, Adam traveled a distance of about
miles.

Answers

In a case whereby Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles Adam traveled a distance of about 335 miles.

How can the distance be calculated?

The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction.

Speed = Distance/ time

speed =72.4 miles

time=4.62 hours

Distance =speed * time

= 72.4 *4.62

Distance = 334.488 miles

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complete question;

Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles. Rounding decimals to the nearest whole number, Adam traveled a distance of about miles.

at the grocery store, caleb has narrowed down his selections to 5 vegetables, 8 fruits, 3 cheeses, and 7 whole grain breads. he wants to use the express lane, so he can only buy 20 items. in how many ways can he choose which 20 items to buy if he wants all 3 cheeses?

Answers

Caleb can choose which 20 items to buy in 1140 ways if he wants all 3 cheeses.

To choose 20 items at the grocery store, Caleb has narrowed down his selections to 5 vegetables, 8 fruits, 3 cheeses, and 7 whole grain breads. Since he wants all 3 cheeses, he only needs to choose 17 more items.

The number of ways he can choose these 17 items from the remaining vegetables, fruits, and breads is given by the combination: C(5+8+7, 17) = C(20, 17) = 1140.

This formula means that there are 20 items to choose from, and Caleb wants to choose 17. The order doesn't matter, so we use a combination.

Therefore, Caleb can choose which 20 items to buy in 1140 ways if he wants all 3 cheeses.

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estion list Three names are put on a ballot in a randomly selected order. What is the probability that they are not in alphabetical order? The probability that the names are not in alphabetical order is: (Type an integer or a simplified fraction) Question 62 Question 63 Question 64 Question 65 Question 66 Question 67

Answers

The probability that the three names are not in alphabetical order is 2/3.

To calculate the probability that the three names are not in alphabetical order, we need to determine the total number of possible orders for the names and the number of orders that satisfy the condition of not being in alphabetical order.

Total number of possible orders:

When three names are arranged in a random order, there are 3! = 3 * 2 * 1 = 6 possible orders.

Number of orders not in alphabetical order:

For the names to be in alphabetical order, they must appear in either ascending or descending order. There are two possible orders that satisfy this condition: ABC (ascending) and CBA (descending).

Therefore, the number of orders not in alphabetical order is 6 - 2 = 4.

Probability:

The probability is calculated by dividing the number of favorable outcomes (orders not in alphabetical order) by the total number of possible outcomes.

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 6

Probability = 2/3

Therefore, the probability that the three names are not in alphabetical order is 2/3.

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In august, emily's clothing store sold 520 shirts with the ratio of short sleeve to long sleeve being 3:7. How many short sleeve shirts were sold?

Answers

156 short sleeve shirts were sold in Emily's clothing store during the given period.

To determine the number of short sleeve shirts sold in Emily's clothing store, we need to calculate 3/10 of the total number of shirts sold, since the ratio of short sleeve to long sleeve shirts is 3:7.

We know that the total number of shirts sold is 520. To find 3/10 of 520, we multiply 520 by 3/10:

3/10 * 520 = (3/10) * 520 = (3 * 520) / 10 = 1560 / 10 = 156

Therefore, 156 short sleeve shirts were sold in Emily's clothing store in August.

Alternatively, we can solve this problem using proportions. If we set up the proportion:

(3/10) = x/520,

where x represents the number of short sleeve shirts sold, we can cross-multiply to find:

10x = 3 * 520,

10x = 1560,

x = 156.

Hence, 156 short sleeve shirts were sold in Emily's clothing store during the given period.

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Given that f(x)=2x+1 and g(x)=-5x+2 slice for f(g(x)) when x=3?

Answers

Answer:

x = -25.

Step-by-step explanation:

If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.

f(g(x)) = -10x + 5, and x = 3.

-10 * 3 + 5

= -30 + 5

= -25.

Hope this helps!

what is 85% of 40 , work it out​

Answers

Answer:

its 34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

as i said before, dividing the number (40) by the percent (85)

another way to do it is to multiply

since 85% is 85/100

85/100 *40

(85 * 40)/100

(85 * 40) = 3400

3400/100

remove zeros on both the numerator and denominator since they are in the same places (ones and tens, 1s and 10s)

34/1 = 34

your answer is 34

hope this helps:)

find the area of a triangle if you are told that the triangle is isosceles with sides of 13 and a base of 10.

Answers

The area of the isosceles triangle with sides of 13 and a base of 10 is 60 square units.

To find the area of an isosceles triangle with sides of 13 and a base of 10, we can use the formula for the area of a triangle: A = 1/2 * b * h, where b is the length of the base and h is the height of the triangle.

Since the triangle is isosceles, we know that the two sides with length 13 are equal. Let's call the height of the triangle h. We can draw an altitude from the vertex opposite the base to the midpoint of the base. This will split the isosceles triangle into two congruent right triangles.

Using the Pythagorean theorem, we can find the height of one of the right triangles:

a^2 + b^2 = c^2

where a and b are the legs of the right triangle (which are half of the base, or 5), and c is the hypotenuse (which is one of the sides with length 13):

5^2 + h^2 = 13^2

25 + h^2 = 169

h^2 = 144

h = 12

Now we can plug in the values we have into the formula for the area of a triangle:

A = 1/2 * b * h

A = 1/2 * 10 * 12

A = 60

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the measure of an interior angel of a regular polygon is 150. find the number of sides in the polygon.

Answers

Answer:

The polygon has \(12\) sides.

Step-by-step explanation:

Recall that the expression for finding the measure of one interior angle of a regular polygon is \(\frac{180(n-2)}{n}\), where \(n\) is the number of sides the polygon has (and \(n\neq 0\)), which is what we want to find.

Because the measure of one interior angle of the given polygon is \(150\textdegree\), we can write the following equation to solve for \(n\):

\(\frac{180(n-2)}{n}=150\)

Solving for \(n\), we get:

\(\frac{180(n-2)}{n}=150\)

\(\frac{180n-360}{n}=150\) (Distribute the \(180\) in the numerator)

\(180n-360=150n\) (Multiply both sides of the equation by \(n\) to eliminate the denominator and simplify)

\(30n-360=0\) (Subtract \(150n\) from both sides of the equation and simplify)

\(30n=360\) (Add \(360\) to both sides of the equation to isolate \(n\) and simplify)

\(\bf n=12\) (Divide both sides of the equation by \(30\) to get rid of \(n\)'s coefficient and simplify)

Therefore, the polygon has \(\bf 12\) sides. Hope this helps!

If the point A is located at (-5,-3) and A’ is the image of A after being reflected over the x-axis, what are the coordinates of A’?

If the point A is located at (-5,-3) and A is the image of A after being reflected over the x-axis, what

Answers

Answer:

(-5, 3)

Step-by-step explanation:

When reflecting over the x axis, take the opposite of the y coordinate.

(-5, -3) -----> (-5, 3)

Fubara and dayo have the same number of milliliters of orange drink. Fubara has 3 full bottle and 20ml more. Dayo has 2 full bottles and 140ml more. How many millilitres are in each bottles

Answers

Answer: Each bottle contains 360 milliliters.

Step-by-step explanation:

Let's call the amount of milliliters in each bottle "x".

Fubara has 3 full bottles, so the total amount of milliliters she has is 3x. She also has 20 milliliters more, bringing her total to 3x + 20.

Dayo has 2 full bottles, so the total amount of milliliters he has is 2x. He also has 140 milliliters more, bringing his total to 2x + 140.

Since they have the same amount of orange drink, we can set the two expressions equal to each other:

3x + 20 = 2x + 140

Subtracting 2x from both sides:

x + 20 = 140

Subtracting 20 from both sides:

x = 120

So each bottle contains 360 milliliters.

Solve x* - 3x2 + 2 = 0 using substitution.

Answers

Answer:

x = -2/3  x=1

Step-by-step explanation:

We cant solve by substitution with just one equation

-3x^2 + x +2=0

Factor out a negative

-(3x^2 -x-2) = 0

Divide by negative 1

(3x^2 -x-2) = 0

Factor

(3x +2) (x-1)=0

Using the zero product property

3x+2 =0   x-1 =0

3x= -2   x=1

x = -2/3  x=1

Answer:

\(x = \frac{2}{3} \\ x = - 1\)

Step-by-step explanation:

\(x - 3 {x}^{2} + 2 = 0 \\ - 3 {x}^{2} + x + 2 = 0 \\ - 3 {x}^{2} - 3x + 2x + 2 = 0 \\ - 3x(x + 1) + 2(x + 1) = 0 \\ ( - 3x + 2)(x + 1) = 0\)

\( - 3x + 2 = 0 \\ - 3x = - 2 \\ \frac{ - 3x}{ - 3} = \frac{ - 2}{ - 3} \\ x = \frac{2}{3} \)

\(x + 1 = 0 \\ x = - 1\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Solve for all values of c in simplest form.
43=[c+21]​

Answers

Answer:

If those are absolute value lines: 22 and -64

Step-by-step explanation:

43 = | c + 21 | is an absolute value equation, meaning it has two answers.

To get the first you keep 43 positive and remove the absolute values and solve normally: 43 = c + 21 -> 43 - 21 = c -> c = 22.

To get the second you make 43 negative and remove the absolute values then solve: -43 = c + 21 -> -43 - 21 = c -> c = -64

43 = 22 + 21 -> 43 = 43

43 = -64 + 21 -> 43 = 43

Please write well.
Answer the following question when X₁, X₂,..., X is a random sample from an exponential family with the following probability density function. f(x 0) = exp (0T(x) + d(0)+ S(x)) a. H: 0= 0 vs H₁

Answers

Given that X₁, X₂,..., X is a random sample from an exponential family with the following probability density function, f(x 0) = exp (0T(x) + d(0)+ S(x)).

To form the hypothesis for the exponential family, we need to consider the null and alternative hypothesis.

Null hypothesis: 0= 0

Alternative hypothesis: 0 ≠ 0

Explanation: The exponential family is a class of distribution families. The density of an exponential family is given by the following expression:

f(x|θ) = h(x) exp{θT(x) − A(θ)},

where h(x) is a nonnegative function of the data that does not depend on the parameter θ and A(θ) is a normalizing function.

The parameter θ is typically called the natural parameter, and T(x) is the vector of sufficient statistics. The exponential family of distributions includes the normal, exponential, chi-squared, gamma, and beta distributions, among others. In hypothesis testing for the exponential family, we typically specify a null hypothesis and an alternative hypothesis, just as in other types of hypothesis testing. The test statistic is usually a ratio of two likelihood ratios.

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What is the domain of f(x) = 3^x - 2?

What is the domain of f(x) = 3^x - 2?

Answers

Answer:

We get, f(x) = 3x - 2 is also a polynomial function.

Step-by-step explanation:

Therefore, its domain is also 'all the real numbers'.

Luis paid a total of $72.00 for 3 pairs of shorts. If each pair of shorts costs the same amount, what is the price of one pair of shorts?

Answers

Answer:

24

Step-by-step explanation:

72/3

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