The equation shows the relationship between x and y:

y = −9x + 5

What is the slope of the equation?

−14
−9
−4
5

Answer:

7.96 ft

Step-by-step explanation:

Given;

Length of ramp L = 8 ft

Angle with the horizontal (ground) = 6°

Applying trigonometry;

With the length of ramp as the hypothenuse,

The horizontal distance d as the adjacent to angle 6°

Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;

Cosθ = adjacent/hypothenuse

Substituting the values;

Cos6° = d/8

d = 8cos6°

d = 7.956175162946

d = 7.96 ft

The building is 7.96ft away from the entry point of the ramp.

Answer:

25 degrees

Step-by-step explanation:

The angle WRS for the given triangle will be ∠WRS = 25°.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given that the triangle has an angle as shown in the image

The angle TRW → 25x + 30 = 180 -5x

→ x = 5°

Now the angle WRS → 180 - ( 25x + 30)

∠WRS = 25° hence, the correct answer will be this.

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Answer:

4.2 gallons

67.2 cups

Step-by-step explanation:

He had 3 gallons of punch.

He added another 1.2 gallons.

The number of gallons of punch he has now is:

3 + 1.2 = 4.2 gallons

1 gallon = 16 cups

=> 4.2 gallons = 4.2 * 16 = 67.2 cups

He has 67.2 cups

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]

[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]

[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]

Solution; Probability ≈ 0.1071

Answer:

The major categories of financial institutions include central banks, retail and commercial banks, internet banks, credit unions, savings, and loans associations, investment banks, investment companies, brokerage firms, insurance companies, and mortgage companies

Step-by-step explanation:

sorry i did not put 2 examples, i put too many examples lollll

Answer:

There are two primary types of financial institutions non-depository and depository.

Step-by-step explanation:

an insurance company would fall under the non-depository group, and a credit union would be defined as a depository institution.

Answer:

8 pencils for every 4 students or 2 pencils for every students

Step-by-step explanation:

Whatever you want to multiply or divide one from, you gotta do it to the other number so it can stay equivalent

Answer:

(55,9)

Step-by-step explanation:

^

Answer:

1/3

Step-by-step explanation:

The probability that you will draw a heart is 1/3, the correct option is 3.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

Number of cards=  6 hearts, 4 clubs, and 8 spades

Now,

To find the probability of drawing a heart, we need to divide the number of hearts by the total number of cards in the pile. The number of hearts is 6 and the total number of cards is 6 + 4 + 8 = 18.

The probability of drawing a heart is 1/18=1/3

Therefore, by probability the answer will be 1/3.

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Answer: 26

Step-by-step explanation:

Two Angles are Complementary when they add up to 90 degrees (a Right Angle). Then

∠A + ∠B = 90

∠A =90- ∠B

∠A  = 26

Answer:

The measure of [tex]\angle A[/tex]:

[tex]\angle A = 26\textdegree[/tex]

Step-by-step explanation:

Since both [tex]\angle A[/tex] and [tex]\angle B[/tex] are complementary (Which they both add up to 90°), and you want to find the measure of

Measure of [tex]\angle A[/tex]: unknown

Measure of [tex]\angle B[/tex]: 64°

Finding the measure of [tex]\angle A[/tex]:

[tex]90 - 64 = 26[/tex]

[tex]\angle A = 26\textdegree[/tex]

So, the measure for [tex]\angle A[/tex] is [tex]26\textdegree[/tex].

they intesect at line a

Answer:

$26934.56

Step-by-step explanation:

The present value of an annuity is the current value of payments gotten from an annuity in the future, given a rate of return, or discount rate. The present value of an annuity (PVOA) is given by the formula:

[tex]PVOA=payment*\frac{[1-(1+r)^{-n}]/r}{(1+r)^{t-1}}[/tex]

n = 20 years, t = 10 years, r =12% = 0.12, payment = $10000

[tex]PVOA=10000*\frac{[1-(1+0.12)^{-20}]/ 0.12}{(1+0.12)^{10-1}}[/tex] = $26934.56

Answer:

B. the slope of f(x) is the same as the slope of g(x)

Step-by-step explanation:

B. the slope of f(x) is the same as the slope of g(x); that slope is m = -2.

Answer:

D ye

Step-by-step explanation:

Step-by-step explanation:

4x-7=-2x+12

Add 2x

6x-7=12

Add 7

6x=19

Divide 6

x = 19/6

19/6 = 3 1/6

x = 3 1/6

Answer:

Answer:

33%

Step-by-step explanation:

- The area of the inner white circle is π4² = 16π

- The area of the blue "band" is π7² - π4² = 33π

- The total area is π10² = 100π

The ratio of the blue band and the total area is 33π/100π ×100% = 33%

Answer:

[tex]\frac{15}{25}[/tex] ÷ [tex]\frac{5}{5}[/tex] = [tex]\frac{3}{5}[/tex]

Answer:

3/5

Step-by-step explanation:

Both of them are multiples of five by dividing them u get the answer

3/5

Answer:

V = 54 π units³

OR

V = 169.6 units³

Step-by-step explanation:

Volume of a cylinder = [tex]\pi r^2 h[/tex]

V = (3.14)(3)²(6)

V = (3.14)(54)

V = 54 π units³

OR

V = 169.6 units³

Answer:

tan 41 = 0.87

sin 63 = 0.89

cos 14 = 0.97

Step-by-step explanation:

No explanation since the question states to use the ALEKS calculator so you just make sure the calculator is in degrees then simply press tan 41 etc.

Answer:

$4,200

Step-by-step explanation:

700 x 6 = 4,200

Answer:  C

Step-by-step explanation:

Reflection across x = -1

The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment)

J = (0, 0) is 1 unit to the right of x = -1

J' = (-2, 0) is 1 unit to the left of x = -1

K = (1, 4) is 2 units to the right of x = -1

K' = (-3, 4) is 2 units to the left of x = -1

L = (3, 3) is 4 units to the right of x = -1

L' = (-5, 3) is 4 units to the left of x = -1

Reflection across x-axis

Change the sign of the y-value:  (x, y) → (x, -y)

J' = (-2, 0)           J'' = (-2, 0)

K' = (-3, 4)           K'' = (-3, -4)  

L' = (-5, 3)            L' = (-5, -3)

Answer:

$29.50

Step-by-step explanation:

The price that Rob paid includes a 15% discount.  This means that Rob paid 85% of the original price.

100% - 15% = 85%

Divide the price Rob paid by the percentage the price is of the total.

85% = 0.85

50.15/0.85 = 59

Now, divide the total price by 2 so that you can find the price of one pair of jeans.

59/2 = 29.50

The price of one pair of jeans is $29.50

Answer:

1 = -5x-4  add 4 to both sides

-5x = 1+4 divide both sides by (-5)

x = -5/5

x= -1

Answer:

Q1. x = 10

Q2. x = 7

Step-by-step explanation:

The steps are :

Q1.

[tex]5x - 6 = 3x + 14[/tex]

[tex]5x - 3x = 14 + 6[/tex]

[tex]2x = 20[/tex]

[tex]x = 20 \div 2[/tex]

[tex]x = 10[/tex]

Q2.

[tex]6x - 11 = 4x + 3[/tex]

[tex]6x - 4x = 3 + 11[/tex]

[tex]2x = 14[/tex]

[tex]x = 14 \div 2[/tex]

[tex]x = 7[/tex]

Answer:

[tex]x=10, \: x=7[/tex]

Step-by-step explanation:

[tex]5x -6 = 3x + 14[/tex]

[tex]5x -6+6-3x = 3x + 14+6-3x[/tex]

[tex]5x -3x = 14+6[/tex]

[tex]2x=20[/tex]

[tex]x=\frac{20}{2}[/tex]

[tex]x=10[/tex]

[tex]6x - 11 = 4x + 3[/tex]

[tex]6x - 11+11-4x = 4x + 3+11-4x[/tex]

[tex]6x-4x = 3+11[/tex]

[tex]2x=14[/tex]

[tex]x=\frac{14}{2}[/tex]

[tex]x=7[/tex]

Answer:

Domain: { 2,3,4,5}

Step-by-step explanation:

The domain is the inputs to the function

In this case it is the x values

Domain: { 2,3,4,5}

Answer:

C. (2,3,4,5)

Step-by-step explanation:

The domain is x and the range is y.

Answer:

913/100 and 10/10000

Step-by-step explanation:

913/100 = 9.13

10/10000 = 10^-3

9.13 x 10^-3 = 0.00913

Answer:

0.00913

Step-by-step explanation:

9.13 x 10-3 as an ordinary number means eliminating the standard form.

10^-3 is 1/1000

Hence 9.13 x 10-3 = 9.13 × 1/ 1000

9.13/1000= 0.00913

Answer:

£151.20

Step-by-step explanation:

20%= 100%divided by 5

To find 100% from 20% you x by 5

so you times 30.24 by 5

30.24x 5 = 151.2

So the answer is £151.20

interest percentage rate would be 1.6754%

The interest rate for the account is 1.68%

The interest rate is the amount a lender charges a borrower and is a percentage of the principal the amount loaned.

Given that,

Sue invests £9000 in an account for one year.

She pays £30.24 at a rate of 20%

So, 20% of the interest = £30.24

Let the interest be x,

X0.2 = 30.24

X = £151.2

The total interest was = £ 151.2

The rate R at which generated this interest =

R = (100 × 151.2)/(1 × 9000)

R = 15120/9000

R = 1.68%

Hence, the interest rate = 1.68%

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Answer:

y= -4

Step-by-step explanation:

x+y=42.   We know that x plus y equals 42.

x=2y .   We also know that x equals twice y.

2y+y=42.   Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.

y=14.   3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)

x+14=42.   Now that we know what y equals, let's replace y with 14 from the original equation.

x=28.  Now that we know that x=28 and y=14, we know that y is always x/2.

When x=-8, we divide it by 2 and get, -4.

Not absolutely positive as this was all mental math, but hope this helps! :)

The value of the variable y at x = -8, will be negative 49.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The numbers x and y are inversely proportional. Then we have

y ∝ 1/x

y = k/x    ...1

When the sum of x and y is 42. Then the equation will be

x + y = 42   ...2

x is twice y. Then the equation will be

x = 2y   ...3

From equations 2 and 3, we have

2y + y = 42

3y = 42

y = 14

Then the value of x will be

x = 2(14)

x = 28

Then the value of k will be

14 = k / 28

k = 392

Then the equation will be

y = 392 / x

Then the value of the variable y at x = -8, will be

y = 392 / (-8)

y = -49

Thus, the value of the variable y at x = -8, will be negative 49.

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Answer: [tex]9\pi[/tex]

Step-by-step explanation:

Area of a circle is [tex]\pi r^2[/tex], they give the radius 3. 3^2 is equal to 9

Answer:

'''A ray has one endpoint and extends indefinitely in one direction. A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions. Rays are always named with two points and the first point in the name must be the endpoint.'''

Answer: idk man

Step-by-step explanation: rg

Answer:iidk

Step-by-step explanation: