Simplify this Expression

Answer:

[tex]3^{12}[/tex]

Step-by-step explanation:

[tex]([/tex][tex]3^{5}[/tex][tex])^{2}[/tex]

You multiply the exponents to get:

[tex]3^{10}[/tex]

Then you divide it by [tex]3^{-2}[/tex]

When dividing exponents, you subtract.

10 - - 2 = 12 so the exponent is 12.

That leaves us with:

[tex]3^{12}[/tex]

Answer:

A.

Step-by-step explanation:

it is in y=mx+b format

Answer:

Step-by-step explanation:

Given

Finding (fog)(x)

(fog)(x)  = f(g(x))

(fog)(x)  = f(x+9)

(fog)(x)  = 5(x+9)             ∵ substitute x as x+9 in the f(x)

(fog)(x)  = 5x+45

Finding (gof)(x)

(gof)(x) = g(f(x))

(gof)(x)  = g(5x)

(gof)(x)   = 5x+9                 ∵ substitute x as 5x in the g(x)

Finding (fog)(3)

(fog)(3) = f(g(3))

substitute x = 3 in the g(x)=x+9

g(x) = x+9

g(3) = 3+9

g(3) = 12

so

(fog)(3) = f(g(3)) = f(12)

now substitute x = 12 in  f(x) = 5x

f(x) = 5x

f(12) = 5(12)

f(12) = 60

Thus,

(fog)(3) = f(g(3)) = f(12) = 60

Answer:

40

Step-by-step explanation:

Answer:

The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

The terms of the sequence are 1, -3, 9, -27

∵ -3 ÷ 1 = -3

∵ 9 ÷ -3 = -3

∵ -27 ÷ 9 = -3

∴ There is a common ratio between each two consecutive terms

∴ The sequence is geometric

∵ The formula of the geometric sequence is a[tex]_{n}[/tex] = a [tex]r^{n-1}[/tex], where

∵ The first term is 1

∴ a = 1

∵ The common ratio is -3

∴ r = -3

→ Substitute them in the formula above

∵ a[tex]_{n}[/tex] = (1) [tex](-3)^{n-1}[/tex]

∴ a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

∴ The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]

Answer:

63

Step-by-step explanation:

21*3

Answer:

10 times 5 =50 (2.69 x 50) = 134.5

10 times 3=30 (1.21x30)= 36.3

Step-by-step explanation:

The difference between the area of Texas and Rhode Island in square miles and scientific notation should be (2.68 × 10⁵) square miles.

Area of Texas = (2.69 × 10⁵) square miles = 269000 square miles

Area of Rhode Island = (1.21 × 10³) square miles = 1210 square miles

Now

Difference between the Area of the Texas and Rhode Island should be

= 269000 - 1210

= 267,790 square miles

= (2.68 × 10⁵) square miles.

Learn more about an area here: https://brainly.com/question/4329157

Complete question :

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answer:

200 miles

Step-by-step explanation:

Let miles driven = x

First option :

57.98 + 0.14x

Second option :

53.98 + 0.16x

First option = second option

57.98 + 0.14 = 53.98 + 0.16x

57.98 - 53.98 = 0.16x - 0.14x

4 = 0.02x

x = 200

200 miles

Answer:

second

Step-by-step explanation:

their angles are equal and their sides are proportional if the figures are similar

Answer:

B, Their angles are equal and their sides are proportional.  

Step-by-step explanation:

Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.

Answer:

Lumberrum2 [tex]x^{2} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi \alpha \frac{x}{y}[/tex]

Step-by-step explanation:

Answer:

x = 20

p = 144

y = 144

Step-by-step explanation:

Vertically opposite angles are equal.

2x - 4 = 96 - 3x

2x + 3x -4 = 96

    5x - 4 = 96

         5x = 96+4

         5x = 100

           x = 100/5

           x = 20

2x - 4 = 2*20 - 4 = 80 - 4

         = 36

p + (2x - 4) = 180  {linear pair}

p + 36 = 180

        p = 180 - 36

        p = 144

y =  p        {vertically opposite angles}

y = 144

Answer:

11 3/5 containers

Equivalent to 11.6 containers

Step-by-step explanation:

Total pounds of potato salad = 14 1/2 pounds

Pounds in each container = 1 1/4 pounds

How many containers does she need?

Number of containers needed = Total pounds of potato salad / Pounds in each container

= 14 1/2 ÷ 1 1/4

= 29/2 ÷ 5/4

= 29/2 × 4/5

= (29×4) / (2×5)

= 116/10

= 11 6/10

= 11 3/5 containers

Equivalent to 11.6 containers

Hii

(x-2)(x+2)/x(x+5)

=(-4-2)(-4+2)/-4(-4+5)

=(-6)(-2)/-4(1)

=12/-4

=-3

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

Answer:

$5

Step-by-step explanation:

Multiply 0.10 by $50

5

So Angelina saved $5

Hope this helped :)

Answer:

0.5728

Step-by-step explanation:

8*7.16/100 =0.5728

Answer:

Step-by-step explanation:e equation has a leading coefficient of 1 or if the equation is a difference of squares. The zero-factor property is then used to find solutions. ... Another method for solving quadratics is the square root property. The variable is squared.

Answer:

Your answer is 34 1/2, have a great day and happy holidays!

Step-by-step explanation:

Answer:

34 1/2

if you use the distributive property and multiply 11×3 you would get 33 then multiply 1/2×3 you get 3/2 or 1 1/2 then add 33+1 1/2 and you get 34 1/2. hope this helped.

Answer:

yes

Step-by-step explanation:

no two points have the same y value

Answer:

X = 14

Step-by-step explanation:

Answer:

x-14

Step-by-step explanation:

Answer:

I think it B

Step-by-step explanation:

I think it is B

Answer:

-80

Step-by-step explanation:

Answer:

A. F(x)=x

Step-by-step explanation:

Answer:7

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

2/8 or 1/4

Answer: 2/8

Step-by-step explanation:

yuh

Answer:

y = 2x - 4

Step-by-step explanation:

Can I ask which variable you are solving?

PS I will assume you need the formula y=mx+b

-2x + y = - 4

Here you would translate the m and x variables to the right side making them positive.

y = 2x - 4

Now the formula is in proper form

Hey :)

If you are solving for x, the answer is: x = y/2 + 2

-2x + y = -4

Subtract y from both sides

−2x = −4 − y

The equation is in standard form:

−2x = − y −4

Divide both sides by −2:

-2x/-2 = -y - 4/-2

Dividing by −2 undoes the multiplication by −2

x = -y -4/-2

Divide −4 −y by −2

x = y/2 + 2

However, if you are solving for y, the answer is: y = −4 + 2x

−2x + y = −4

Add 2x to both sides:

y = −4 + 2x

Hope this helps!

Answer:

The slope would be -2 with a y-intercept of (0, -3).

I hope this helped to answer your question.

Answer:

point A (6,13) lies on the equation.  True

given point  B(21,33) lies on the equation.  True

given point  C (99, 137) lies on the equation.  True

The equation that was given was  y = 4/3x + 5

Now,check the given equation for the given points.

1)  A (6,13)

Substitute x = 6 in the given equation y = 4/3x +5

y = 4/3(6) + 5 = 4(2) + 5 = 8+5 = 13

y=13

the given point A (6,13) lies on the equation.

2)  B  (21,33)

Substitute x = 21 in the given equation y=4/3x+5

y=4/3(21) + 5 = 4(7) + 5=28+5=33

y = 33

the given point  B(21,33) lies on the equation.

3)  C (99, 137)

Substitute x = 99 in the given equation y = 4/3x + 5

y=4/3(99) + 5 = 4(33) + 5 = 132 + 5 = 137

y = 137

the given point  C (99, 137) lies on the equation.

There is your answer

Answer:

62.5 miles

Step-by-step explanation:

The answer is 62.5 miles because 5 divided by 8 is 0.625 and 0.625 multiplied by 100 is 62.5