Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions? When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42. When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60. When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39. ITS NOT 30 I TOOK THE TEST

Answer:

yes

Step-by-step explanation:

(3^4)^4

this is the same as 3^(4x4)

3^16

3^8x3^8

since they are the same base just add the exponent to get

3^16

Answer:

C(19)=12 responses

Step-by-step explanation:

Exponential Decay Function

The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function can be expressed as follows:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.

This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.

The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:

[tex]C(t)=90\cdot(1-0.1)^t[/tex]

Calculating:

[tex]C(t)=90\cdot(0.9)^t[/tex]

We are required to calculate the number of responses at day t=19, thus:

[tex]C(19)=90\cdot(0.9)^{19}[/tex]

C(19)=12 responses

Answer

4.5 centimeters2

Step-by-step explanation:

Answer: 4.5

Step-by-step explanation: To find area, you must multiply the length and width. 3 x 1.5 = 4.5  Hope this helps!

Answer:

whole numbers probably

Answer:

[tex]Side\ 3 = 6x - 7[/tex]

Step-by-step explanation:

Given

[tex]Perimeter = 17x - 5[/tex]

[tex]Side\ 1 = 3x + 5[/tex]

[tex]Side\ 2 = 8x - 3[/tex]

Required

Determine the length of the third side

The perimeter of a triangle is calculated as thus:

[tex]Perimeter = Side\ 1 + Side\ 2 + Side\ 3[/tex]

Substitute values for Perimeter, Side 1 and Side 2

[tex]17x - 5 = 3x + 5 + 8x - 3 + Side\ 3[/tex]

Collect Like Terms

[tex]17x - 5 = 3x + 8x + 5 - 3 + Side\ 3[/tex]

[tex]17x - 5 = 11x + 2 + Side\ 3[/tex]

Solve for Side 3

[tex]Side\ 3 = 17x - 11x - 5 - 2[/tex]

[tex]Side\ 3 = 6x - 7[/tex]

Hence, the length of the third side is 6x - 7 units

Answer:

Difference is 9-7 = 2

Given number is 9

Step-by-step explanation:

Assume;

Given number is x

So,

Subtracted from 7;

x - 7

Divided by 2

(x-7)/2

Multiplied by 4

[(x-7)/2]4

Product was 4

[(x-7)/2]4 = 4

x-7 = 2

x = 9

Given number is 9

Difference is 9-7 = 2

Answer:

You could travel 560 miles.

Step-by-step explanation:

To find out the answer you need to multiply 70 by 8.

70 × 8= 560

Answer: No, they are not.

Step-by-step explanation:

Answer:

(-6, -5)

Step-by-step explanation:

For a rotation of 180 degrees no matter the direction, you just flip the sign. In (6, 5) both are positive so you just change them to a negative.

Step-by-step explanation:

3x+13+8x+14=180-109

11x+27=71

11x=44

x=4

Answer:

its a

Step-by-step explanation:

Answer:

Equation is: 4(x - 16) = 48

Amount each received = $28

Step-by-step explanation:

We are told that the foot brothers received the same amount of money to go to the movies.

Let's say they each receive "x" in amount.

Which means total amount is;

x + x + x + x

Now,we are told that each boy spent $16.

Thus,amount left after spending is;

(x - 16) + (x - 16) + (x - 16) + (x - 16) = 4(x - 16)

We are told this amount after spending was $48 altogether. Therefore;

4(x - 16) = 48

Divide both sides by 4 to get;

x - 16 = 48/4

x = 16 + 12

x = $28

We use a similar strategy as in your previous question. Rewrite:

sin(5x) = sin(6x - x) = sin(6x) cos(x) - cos(6x) sin(x)

sin(7x) = sin(6x + x) = sin(6x) cos(x) + cos(6x) sin(x)

→ sin(5x) - sin(7x) = -2 cos(6x) sin(x)

sin(4x) = sin(6x - 2x) = sin(6x) cos(2x) - cos(6x) sin(2x)

sin(8x) = sin(6x + 2x) = sin(6x) cos(2x) + cos(6x) sin(2x)

→   sin(8x) - sin(4x) = 2 cos(6x) sin(2x)

cos(5x) = cos(6x - x) = cos(6x) cos(x) + sin(6x) sin(x)

cos(7x) = cos(6x + x) = cos(6x) cos(x) - sin(6x) sin(x)

→   cos(7x) - cos(5x) = -2 sin(6x) sin(x)

cos(4x) = cos(6x - 2x) = cos(6x) cos(2x) + sin(6x) sin(2x)

cos(8x) = cos(6x + 2x) = cos(6x) cos(2x) - sin(6x) sin(2x)

→   cos(4x) - cos(8x) = 2 sin(6x) sin(2x)

Then

(sin(5x) - sin(7x) - sin(4x) + sin(8x)) / (cos(4x) - cos(5x) - cos(8x) + cos(7x))

= (2 cos(6x) sin(2x) - 2 cos(6x) sin(x)) / (2 sin(6x) sin(2x) - 2 sin(6x) sin(x))

= (2 cos(6x) (sin(2x) - sin(x))) / (2 sin(6x) (sin(2x) - sin(x)))

= cos(6x) / sin(6x)

= cot(6x)

QED

Answer:

B. - 3.5

Step-by-step explanation:

10.99 / 3.14 = 3.5 rounded to the nearest tenth.

This is easy to do, just divide the circumference by 3.14 and that's the radius.

(BTW i love ur shikamaru profile pic uwu)

Answer: D is the right answer

Step-by-step explanation:

Answer:

y=mx+b 2=(-3)(-3)+b

2=9+b -7=b

Answer:

156.4 would be your answer

Step-by-step explanation:

3,910/25

15.6

Answer:

y=10+4x

Step-by-step explanation:

Answer:

Um, no lo sé, lo siento, solo necesito los puntos

Step-by-step explanation:

Um, no lo sé, lo siento, solo necesito los puntos

Answer:

9

Step-by-step explanation:

common denominator of 2/3 and 4/9

9 is the answer

Answer:

C- 1/2 squash per month

Have a Good one!

Answer:

24.44°

Step-by-step explanation:

The set up will give a right angled triangle.

Given

The length of the hill (hypotenuse) = 2900feet

Vertical height (opposite) = 1200feet(That side is opposite the angle of elevation)

According to SOH;

sin theta = opp/hyp

Sin theta = 1200/2900

Sin theta = 12/29

Sin theta= 0.4138

theta= arcsin(0.4138)

theta = 24.44°

Hence the angle of elevation from the base to the top of the mountain is 24.44°

Answer:

[tex]\frac{63}{5}[/tex]

Step-by-step explanation:

 Given expression:

    (3) 4[tex]\frac{1}{5}[/tex]  

The distributive law is mostly applied to multiplication and division which helps to expand a parentheses;

   4[tex]\frac{1}{5}[/tex]   can be written as [tex]\frac{21}{5}[/tex]  

 Now;

         (3) [tex]\frac{21}{5}[/tex]  

 With distributive property, we simply multiply the two terms;

           3  x [tex]\frac{21}{5}[/tex]     = [tex]\frac{63}{5}[/tex]

Answer:

Rewrite 3 ( 4   1 /5  ) as 3 ( 4 +  1 5  ) . Distribute the 3 to get 3(4) + 3 (  1 /5  ) . Multiply to get 12 +   3 /5  . Then add to get 12  3 /5

Step-by-step explanation:

Answer:

Y = kx

I did the test and got it right, so this is it.

Answer:

5

Step-by-step explanation:

Answer:

$5.95

Step-by-step explanation:

To get the discounted price, we need to find how much is taken off from the regular price.

x/8.50=30/100

30×8.50=255

255/100=2.55

$2.55

Next, we need to subtract $2.55 from $8.50 to get the discounted price.

8.50-2.55=5.95

$5.95

$5.95 is the discounted price.

I hope this helped! :)

Answer: 5.95 dollars  

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

This is calculated by putting them in a ratio

Russ's car : Mike's car

9.8 miles per gallon : 39.2 miles per gallon

Converting to fraction

= 9.8/39.2

= 1/4

Hence, we have the ratio:

1 : 4

Hence, Mike's car averages Russ's car 4 times more in miles per gallon

Answer: B. 8^3; E. 8 x 8 x 8

Step-by-step explanation:

From the question, we are informed that a cube has a side length of 8 inches.

To calculate the volume of a cube, we multiply the length given thrice. In this case, the length of the cube is 8 inches. Therefore, its volume will be:

= 8^3

= 8 × 8 × 8

= 512 inches cubed

Therefore, the correct options are:

B. 8^3

E. 8 x 8 x 8

Answer:

3

Step-by-step explanation: