Line f has a slope of -3/4 line g is perpendicular to f. What is the slope of like g

Step-by-step explanation:

-3r(-14r + 2r - 20)

-3r(-12r - 20)

36r² + 60r

answer is A or 36r² + 60r

The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

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Answer:

P(-11 , 14)

Step-by-step explanation:

Explanation:-

Given points A(-6, 9), B(2, 1); Ratio 5 : 3

The Point P divides the directed line segment from A to B in the given ratio Externally

       5 : 3

A( -6,9)    B(2,1)

we will use formula



                            =   \((\frac{5(1)-3(9) }{5-3} ,\frac{5(2) -3(-6)}{5-3})\)

                           =  \((\frac{5-27}{2} , \frac{10+18}{2} ) = (-11 , 14)\)

The point P( -11 ,14) divides the directed line segment from A to B in the given ratio Externally



Answer:

so to factor out you find the greatest common factor of 14 and 7

if you have 2x-2 then you can factor out the 2 and get 2(x-1)

7=7*1

14=2*7

the greatest common factor is 7

14x-7=7(2x-1)

Answer:

5.81%

Step-by-step explanation:

The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

Exterior Angle Inequality Theorem

\( \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}\)

Direction:

Use the Exterior Angle Inequality Theorem to find the measure of each angle below.

Answer:

\( \huge \underline{\boxed{\sf \red{ \angle C = 27^{\circ} }}}\)

\( \huge \underline{\boxed{\sf \red{ \angle D = 153^{\circ} }}}\)

Solution:

Add the ∠A and ∠B and minus it to 180° to know the measure of ∠C. To find the ∠D add only the ∠A and ∠B.

Finding ∠C

\(\large\tt{{180}^{\circ} = \angle A + \angle B + \angle C}\)

\(\large\tt{{180}^{\circ} = {35}^{\circ} + {118}^{\circ} + \angle C }\)

\(\large\tt{{180}^{\circ} = {153}^{\circ} + \angle C }\)

\(\large\tt{{180}^{\circ} - {153}^{\circ} = \angle C }\)

\(\large\tt{{27}^{\circ} = \angle C }\)

\(\large{\boxed{\tt{\angle C = {27}^{\circ}}} }\)

Finding ∠D or ∠ACD

\(\large\tt{ \angle A + \angle B = \angle ACD }\)

\(\large\tt{ {35}^{\circ} + {118}^{\circ} = \angle ACD }\)

\(\large\tt{ {153}^{\circ} = \angle ACD }\)

\(\large{\boxed{\tt{\angle ACD = {153}^{\circ} }}}\)

\( \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}\)

\( \\ \)

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Step-by-step explanation:

Explanation is in the attachment

Hope it is helpful to you

✌️✌️✌️✌️✌️✌️✌️

Answer:

Rolling a six-sided die and flipping a coin: The sample space is 6 • 3or 18 equally likely outcomes

Step-by-step explanation:

mark me brainliest!!

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer: 26 people

Step-by-step explanation: For the boys, there are 40 boys and only 35% of them are wearing sunglasses. To find how many boys are wearing sunglasses, you have to find 35% of 40. 0.35 • 40 is 14. So 14 boys are wearing sunglasses. Now for the girls, there are 20 girls and 60% of them are wearing sunglasses. So, you find 60% of 20. 0.6 • 20 is 12. 12 girls are wearing sunglasses. However, since we want to know how many people are wearing sunglasses altogether, we need to add up the number of boys that are wearing sunglasses to the number of girls that are wearing sunglasses. 14 boys + 12 girls = 26.

So your final answer is: 26 people are wearing sunglasses altogether.

**Hope this helps (I tried)**

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Here we go ~

In the above question, it is given that :

\(\qquad \sf  \boxed{ \sf f(x) = \frac{x + 3}{2} }\)

A.) Find f(2) :

\(\qquad \sf  \dashrightarrow \: f(2) = \dfrac{2 + 3}{2} \)

\(\qquad \sf  \dashrightarrow \: f(2) = \dfrac{5}{2} \)

or

\(\qquad \sf  \dashrightarrow \: f(2) = 0.5\)

B.) Find \({ \sf {f}^{-1}(x) } \) :

\(\qquad \sf  \dashrightarrow \: let \: y = f (x) \)

so, we can write it as :

\(\qquad \sf  \dashrightarrow \: y = \dfrac{x + 3}{2} \)

\(\qquad \sf  \dashrightarrow \: 2y = x + 3\)

\(\qquad \sf  \dashrightarrow \: x = 2y - 3\)

Now, put x = \({ \sf {f}^{-1}(x) } \), and y = x and we will get our required inverse function ~

\(\qquad \sf  \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3\)

C.) Find \({ \sf {f}^{-1}(12) } \) :

\(\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3\)

\(\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 36- 3\)

\(\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 33\)

Answer:

x = 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=3 because if you subtract 1 its 4x=12 which is 3

\(\huge \bf༆ Answer ༄\)

Let's solve ~

There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

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Option C is correct. Both a and b are valid options, but altering the scale to make the top bar appear four times as long as the bottom bar would be the more accurate representation of Phil's hits quadrupling.

To show that Phil's hits have quadrupled since last year, we need to compare the number of hits he received this year with the number of hits he received last year.

a. Using the same scale and making the top bar twice as thick as the bottom bar does not accurately represent the quadrupling of Phil's hits. It only shows that he received more hits this year than last year.

b. Altering the scale so that the top bar appears four times as long as the bottom bar would accurately represent the quadrupling of Phil's hits. This would show that Phil's hits have increased fourfold from last year to this year.

c. Option C is correct. Both a and b are valid options, but altering the scale to make the top bar appear four times as long as the bottom bar would be the more accurate representation of Phil's hits quadrupling.

d. Option D is incorrect because at least one of the options a or b is correct.

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Solve for y:

The solution is y=(h-21)/c.

Answer:

2w^2.

Step-by-step explanation:

Let "w" be the width of the walkway. Then, the length of the garden is 6.5(6x + 6) - 2w and the width of the garden is 6.5(6x + 6) - 2w.

The area of the garden is 6(4.5x + 2.5) = 6 * 4.5 * x + 6 * 2.5 = 27x + 15

The area of the garden and walkway is (6.5(6x + 6) - 2w)^2 = 27x + 15 + 2w^2

Equating the two expressions for the area of the garden:

27x + 15 = 27x + 15 + 2w^2

Thus, the area of the walkway is:

Answer:

You should use MathPapa.

Step-by-step explanation:

straightforward way is to write an equation x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 372 and to solve it. That unique solution "x" will be your answer. The more reasonable way is to divide 372 by 6, = 62. Then the three consecutive odd numbers in the DESCENDING order from 62 are 61, 59, 57, giving you the answer 57.

Answer: 389

Step-by-step explanation: To evaluate an expression, we simply plug the value of the variable into the expression and solve.

So here, since x = 23, we have 18(23) - 25 or 414 - 25 which is 389.

Answer:

389

Step-by-step explanation:

what is the value of the expression 18 X -25 when X equals 23

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

D. 12.5

The equation to find the average rate of change is

\( \frac{y2 - y1 }{x2 - x1} \)

To find the average rate of change between points (0,20) and (8,120) you need to plug it into the equation so it'll be

\( \frac{120 - 20}{8 - 0} \)

this simplifies to

\( \frac{100}{8} \)

which is 12.5

Answer:

0 < f(x) ≤ 3/4, or (0, 3/4]

Step-by-step explanation:

x² - x + 1 = x² - x + 1/4 + 3/4 = (x - 1/2)² + 3/4

It is always positive and has a minimum value of 3/4 at x = 1/2

So f(x) is always positive (not equal zero) and has a maximum value of 3/4

Then the range is 0 < f(x) ≤ 3/4, or (0, 3/4]