I need help with this​

Step-by-step explanation:

AC= 8x-14

AC+14=8x

x=(AC+14)÷8

EC=2x+11

EC-11=2x

x=(EC-11)÷2

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Answer:

$850.69824

Step-by-step explanation:

Answer:

$850.70 (nearest cent)

Step-by-step explanation:

Simple interest formula:   A = P(1 + rt)

where:

Given:

Substituting given values into the formula, and solving to find A:

⇒ A = 6604.8(1 + 0.0322 · 4)

       = 6604.8(1.1288)

       = $7455.50 (nearest cent)

Therefore, to find the amount of interest earned, subtract the principal from the final amount:

⇒ I = A - P

     = 7455.50 - 6604.80

     = $850.70 (nearest cent)

Answer:

45

Step-by-step explanation:

Have a great day!

#EquestrianLion

Triangle FBT is similar to triangle ADQ with a scale factor of 5/3. AD = 9; BF = 15, DQ = 6; BT = 10, FT = 21; AQ = 12.6

∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°

Similar triangles are triangles that have the same shape and the ratio of their corresponding sides are in the same proportion. Corresponding angles are equal.

triangle FBT is similar to triangle ADQ with a scale factor of 5/3.

AD = 9; BF = 9 * 5/3 = 15

DQ = 6; BT = 6 * 5/3 = 10

FT = 21; AQ = 21 * 3/5 = 12.6

∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°

Find out more on similar triangles at: https://brainly.com/question/2644832

Answer:

D. Two hours exercising and eight hours cleaning

Step-by-step explanation:

Rob works part time at the Fallbrook Riding Stable. He makes $5 an hour exercising horses and $10 an hour cleaning stalls. Because Rob is a full-time student, he can work no more than 12 hours per week. However, he must make at least $60 per week.

x = hrs. exercising horses

y = hrs. cleaning stalls

Equations:

Hours he can work per week:

x + y ≤ 12

Amount of money he can make per week:

5x + 10y ≥ 60

Now, graph your equations into desmos.

As you can see in the graph, the correct answer is D (2, 8)

Check your answer by hand:

x + y ≤ 12

2 + 8 ≤ 12

10 ≤ 12

This statement is correct

5x + 10y ≥ 60

5(2) + 10(8) ≥ 60

10 + 80 ≥ 60

90 ≥ 60

This statement is correct

Therefore, the correct answer is D

Hope this helps!

Answer:

The prediction should be 5 via interpolation.

Step-by-step explanation:

Based on the values you have, the linear equation is f(x)=x-1. So replace x with the number you're looking for (6).

In a general sense, to extrapolate is to infer something that is not explicitly stated from existing information. Interpolation is an estimation of a value within two known values in a sequence of values.

Answer:

A. shifted 3 units left and 2 units up

Answer:

shifted 3 units left and 2 units up

Answer:

[tex]\frac{2\pi }{3};\frac{4\pi }{3}.[/tex]

Step-by-step explanation:

1) cos(θ)=-0.5;

theta=±2π/3+2πn, where n∈Z;

2) if θ∈[0;360], then

[tex]\theta=\frac{2\pi }{3}; \frac{4\pi }{3}.[/tex]

Answer: C

Step-by-step explanation:

This is just a straight definition - for a normal distribution, the percent within 2 standard deviations of the mean is about 95.44%.

Answer:

3991680 or 792

Step-by-step explanation:

12P7 = 3991680

or

12C7 = 792

P = permutation

C = combination

Sorry, I am not sure which answer is correct or if any of the answers are correct.

[tex]\qquad\qquad\huge\underline{{\sf Answer}} \huge♨[/tex]

In the given figure, NQ acts as a diameter and since diameter subtends 90° at the arc of the circle, so we can conclude that ~

[tex]\qquad \sf  \dashrightarrow \:3y = 90 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 90 \degree \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 30 \degree [/tex]

Now, Let's use Angle sum property of Triangle to solve for z :

[tex]\qquad \sf  \dashrightarrow \:4z + 3y + 50 \degree = 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:4z +90 \degree + 50 \degree = 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:4z = 180 \degree - (50 \degree + 90\degree)[/tex]

[tex]\qquad \sf  \dashrightarrow \:4z = 180 \degree - (140\degree)[/tex]

[tex]\qquad \sf  \dashrightarrow \:4z = 40 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \:z = 40 \degree \div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:z = 10 \degree [/tex]

I hope you understood the procedure, you can ask me in comments if you have any doubts.

Answer:

25

Step-by-step explanation:

First expression: A= k/M

when A = 15 and M = 5, k = A×M = 75

therefore, when M = 4, A = 75/3 = 25

Answer:

-15.6666667

Step-by-step explanation:

first of all divide both side then minus the divide number

The Schwarzschild radius of the black hole depends on its mass

The Schwarzschild radius of this supermassive black holeis 0.091 AU

The Schwarzschild radius (r) is calculated using:

[tex]r_s = \frac{2GM}{c^2}[/tex]

Where:

G =  Gravitational constant = 6.67408 × 10-11 m3 kg-1 s-2

M = Mass of the object = 4.6 x 10^6 solar masses

c = Speed of light = 299792458 m / s

Express the mass in Kg

M = 4.6 x 10^6 * 9.2 * 10^18 = 9.15 * 10^36 kg

Substitute the above values in the equation

[tex]r_s = \frac{2 * 6.67408 * 10^{-11} * 9.15 * 10^36}{299792458 ^2}[/tex]

Evaluate the expression

[tex]r_s = 13589425339.6[/tex] m

Express as km

[tex]r_s = 13589425.3396[/tex] km

Expressas AU

[tex]r_s = \frac{13589425.3396}{1.5 * 10^8}[/tex]

Evaluate the quotient

[tex]r_s = 0.09059616893[/tex]

Approximate

[tex]r_s = 0.091\ AU[/tex]

Hence, the Schwarzschild radius of this supermassive black holeis 0.091 AU

Read more about gravitational radius at:

https://brainly.com/question/4208016

Answer:

9m = 45

Step-by-step explanation:

if the blue jar has 9 times as many marbles as the red jar (which is 45 marbles), then that means that:

9m = 45

where m is the number of marbles in the red jar.

Answer:

25 dollars divided by 1.25 dollars gives a total of 20 tickets Aaron can buy

Step-by-step explanation:

that means

z = k×x×y

4 = k×2×3 = k×6

k = 4/6 = 2/3

so, when x = -6 and y = 2, we get

z = 2/3 × -6 × 2 = 2 × -2 × 2 = -8

Answer:

X = 2550

Step-by-step explanation:

Convert 12% to a decimal:

⇒ 12% = 12/100 = 0.12

   12% of X is 306

⇒ 0.12X = 306

⇒ X = 306 ÷ 0.12

⇒ X = 2550

Answer:

2550

Step-by-step explanation:

Given expression: 12% of x is 306

We can make the following points of the expression:

    1. The word "of" means multiplication (×).

    2. The percent is always divided by 100 in fraction.

    3. The word "is" means equal or equivalent.

Now, let's simplify the expression.

⇒ 12x/100 = 306

⇒ 12x = 306 × 100

⇒ 12x/12 = 306 × 100/12

⇒ x = 51 × 50 = 2550

Answer:

182 m

Step-by-step explanation:

The shape is a trapezoid. The area of the trapezoid formula is [tex]\frac{a + b}{2}h[/tex].

The two bases (AKA a and b) are 8 + 18.

The height is 14.

[tex]\frac{18+8}{2} 14[/tex], Add 18 + 8

[tex]\frac{26}{2}14[/tex], Divide 26 by 2

[tex]13 *14[/tex], 182

Answer:

5/4

Step-by-step explanation:

Hi there!

We are given the line 5x-4y=3, and we want to find the slope of it.

The line is currently in standard form (ax+by=c); one way to find the slope of the line is to convert it into slope-intercept form (y=mx+b)

To do that, we need to isolate y on one side (in other words, we need to solve the equation for y)

First, subtract 5x from both sides

5x-4y=3

-5x     -5x

____________

-4y = -5x + 3

Divide both sides by -4

[tex]y=\frac{5}{4} x - \frac{3}{4}[/tex]

In slope intercept form, m represents the slope; in this problem, 5/4 takes the place of where m should be, meaning 5/4 is the slope.

Hope this helps!

See more on this topic here: https://brainly.com/question/18929849

Answer:

The answer of 2 x 3 would be 6

Step-by-step explanation:

The reason why 2 x 3 or 2 times 3 would be six/6. Is because if you had 2 pairs of 3 items, you would get a total of 6 items. And if you had 3 pairs of 2 items, you would still have a total of 6 items.

Answer:

Use (a-b)2 formula that is a2-2ab+B2

I think it will help you

Suposse X=a

y= B

And then use formula

Part (a)

  [tex]\int\limits^6_0 {f(x)} \, dx =\int\limits^3_0 {f(x)} \, dx +\int\limits^6_3 {f(x)} \, dx =8+(-7) = 1[/tex]

Part (b)

 [tex]\int\limits^3_6 {f(x)} \, dx =-\int\limits^6_3 {f(x)} \, dx =-(-7) = 7\\[/tex]

Part (c)

[tex]\int\limits^3_3 {f(x)} \, dx =0[/tex]

Part (d)

[tex]\int\limits^6_3 {-5f(x)} \, dx =-5* \int\limits^6_3 {f(x)} \, dx=-5 * -7 =35[/tex]

Hope that helps!

Answer:

1) what is the number of male part time students between the ages 15 - 19 years?

2) do students work more than 4 hours a day?

Answer:

I believe you are correct in saying the option you are clicked on, B.

Step-by-step explanation:

it would make the most sense

Answer:

Based on the argument behind the correctness of the assumption is impossible, so we rule that the assumption is correct, now is the answer

The second answer from above

Answer:

D) 5

Step-by-step explanation:

5 is the rise. x or 1 is the run. (0,3) is the start location.