Write an exponential expression: choose a number between 0 and 10 to be the base and another number between 0 and 10, different from the base, to be the exponent. Label the base and the exponent. Then write the exponential expression in expanded form and standard form.

Given:

Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].

Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].

To find:

The quotient of Susan and Robyn.

Solution:

Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].

[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{5}{8}\times \dfrac{16}{1}[/tex]

[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{80}{8}[/tex]

[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=10[/tex]

So, Susan's quotient is 10.

Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].

[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=\dfrac{5}{8}\times \dfrac{32}{1}[/tex]

[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=5\times 4[/tex]

[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=20[/tex]

So, Robyn's quotient is 20.

Since 20>10, therefore, Robyn will get greater quotient.

Answer:

No.

Step-by-step explanation: If we look at the first conveyor belt, the rate is 12ft in 3 seconds, or 4 feet a second. The second conveyor belt moves at 21 feet in 7 seconds, or 3 feet a second. Since the two values are unequal, we can conclude it is not a proportional relationship.

Answer:

2.68

Step-by-step explanation:

Answer:

Mia is incorrect. 32% of the students say climbing trees is their favorite.

Step-by-step explanation:

Percentage of the students that chose climbing trees = number of students that chose climbing trees ÷ total number of students surveyed × 100

Number of students that chose climbing trees = 8

Total number of students = those that chose riding bike + those that chose climbing trees + those that say swimming = 12 + 8 + 5 = 25

Therefore,

% of the students that say climbing trees = [tex] {8}{25}*100 = \frac{800}{25} = 32 [/tex].

Mia is wrong.

32% say climbing trees is their favorite. NOT 40%.

Answer:

80 m

Step-by-step explanation:

From the question;

Initial velocity, u, = 20m/s

Time = 15 s

deceleration= -2.5 m/s² ------negative acceleration

The formula to apply is;

v²=u²+2as

where v is the final velocity = 0m/s and s is the total distance travelled.

Applying the formula as;

v²=u²+2as

0²=20²+ 2*-2.5*s

0=400+ -5s

0=400-5s

5s= 400

s= 400/5 = 80

s= 80 m

The total distance travelled is  80 m.

Answer:

X = 5

Step-by-step explanation:

When the lines are parallel, the corresponding angles are equal in measure then:

m<2 = m<6

7x - 5 = x + 25

7x - x = 25 + 5

6x = 30

x = 5

• Side of the square = 85/4 m.

• Area of the square

• perimeter of the square .

As we know that :

• Area of square = (side)²

=> Area of square = (85/4)²

=> Area of square = 7225/16

=> Area of square = 451.5 m².

Now ,

• Perimeter of square = 4 (side)

=> Perimeter of square = 4(85/4)

=> perimeter of square = 85 m.

HENCE, THE AREA IS 451.5M² AND PERIMETER IS 85M.

I hope it will help you.

Regards.

Answer:

0=17

Step-by-step explanation:

2X - 10=7 +2x

-10 = 7

7 is fasle

i believe the answer is 17

Answer:

The account balance will be $2,614.16 after 10 years ⇒ D

Step-by-step explanation:

The formula for compound interest, including principal sum is:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where

Let us use this rule to solve the question

∵ Ted invests $1,077 in a savings account with a fixed annual interest

   rat 9% compounded three times per year

∴ P = 1,077

∴ r = 9% = [tex]\frac{9}{100}[/tex] = 0.09

∴ n = 3 ⇒ three times per year

∵ The time is ten years

∴ t = 10

Substitute these values in the rule above to find A

∵ [tex]A=1077(1+\frac{0.09}{3})^{3(10)}[/tex]

→ Use your calculator to find the answer

∴ A = 2,614.161681

→ Round it to the nearest cent (2d.p.)

∴ A = $2,614.16

∴ The account balance will be $2,614.16 after 10 years.

Answer:

ill help

Step-by-step explanation:

Answer:

Just do 12x+7 and 5x-1 divide that answer by 57 that seems easy and i am in 6th grade

Step-by-step explanation:

if this is not right i dont know what is

Answer:

Angle WST = 91°

Step-by-step explanation:

The first step in this situation is to find Angle TSU. Then find x, which is 7, which can be put into the equation shown for Angle WST.

Answer:

ok I did this construction about a year ago but I think I can remember something so if it's not correct I hope you won't be mad with me ok so the first step draw a straight line measure the length then make an AC on both sides then stand on one side make an arc upstand on the other side make an arc upthen stand on one AC and make another ARK on top of the other one then stand on the other AC and make another ark on top of the other one then join the lines yeah I think that's the procedure

Answer:

6.40

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

The equation y = -16x² + 64x represents the given parabola that represents the height in feet of an object above the ground T seconds after it was launched from the ground.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is a graph that shows the height in feet of an object above the ground {T} seconds after it was launched from the ground.

The given graph is a parabola. A quadratic equation represents a parabola.

The quadratic equation will have two roots at the point on which it cuts the {x} axis.

Consider the equation in option {C} as -

y = -16x² + 64x

For the point (4, 0), we can check the graph as -

0 = - 16 x 4 x 4 + 64 x 4

0 = 0

For the point (0, 0), we can check -

0 = 0 + 64 x 0

0 = 0

Therefore, the equation y = -16x² + 64x represents the given parabola that represents the height in feet of an object above the ground T seconds after it was launched from the ground.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

#SPJ3

Answer:

1/2=x

0.5

Step-by-step explanation:

x will be the number

5/100=(1/10)x

5/10=x

1/2=x

1/2=0.5

Answer:

.50$

Step-by-step explanation:

When you add 1/2, 1/4, and 1/8 you get 7/8. We now know that Quinn spent 7/8 of 4.00$. We multiply 7/8 and 400 and we get 350. That means he spent 3.50$. 4.00-3.50= .50$

Answer:

3.50

Step-by-step explanation:

2.00+1.00+.50=3.50

Answer:

7

Step-by-step explanation:

Multiply - and -13 first which is 13 subtract 6 from 13 and you will get 7 which is the answer

Hope this helps!

Answer:

Its should be A.....

Step-by-step explanation:

(Ignore I have to write 20 characters lol)

Answer:

10

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

You can just put it in your calculator

Answer:

22

Step-by-step explanation:

Answer:

y=3/2x+15

Step-by-step explanation:

Answer:

y=3/2+15

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

look at the picture. :) hope this helps

Answer:

y = 4

Step-by-step explanation:

Lets begin by combining like terms, starting with y. We can take the -y on the right, and bring it to the left side, adding it with the 3y already there. We are now at.

4y - 4 = 12

We now can take the -4 from the left and bring it to the right as +4.

4y = 16

We can now divide 16 by 4, getting 4 as the final answer.

Answer:

A: Area

Step-by-step explanation:

The area is 6^2=36 and 36 is a perfect square.

Answer:

12 (p/2 + 17.50) = 750 equation can be used to get regular price of enrollment.

Step-by-step explanation:

So when a new student gets enrolled by paying a $17.50 application fee and gets a value of price halved at p/2

where p = regular price of enrollment

So in reality, for the student to be enrolled he/she must pay = (p/2) + $17.50 application fee to be able to get that special offer.

So Twelve new students enrolled, meaning they paid: 12 (p/2 + 17.50 application fee)

The amount they all paid is $750.

To get the regular price of enrollment from the price that included the application fees, the equation to use would be: 12 (p/2 + 17.50) = 750

The correct answer is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750

Explanation:

In mathematics, an equation represents equality; this means mathematical expressions are placed to the sides of the equality sign and these have the same value. Moreover, if an equation is written based on a situation or description, the values should include the appropriate mathematical symbols (+, -, x, etc) depending on how each of the factors in the equation relates.

In the case presented, it is known the total collected was $750 and due to this, this value should be placed to one side of the symbol =. Moreover, this value was obtained as students paid 17.50 of the application fee plus half of the price. This can be written as [tex]\frac{p}{2}[/tex] (a half price or price divided 2) + 17.50 (application fee). Finally, these two values should be multiplied by 12 (number of students that paid). According to this, the equation is 12 ([tex]\frac{p}{2}[/tex] + 17.50) =750.

Answer:

Step-by-step explanation:

Let the surface of the water be at 0m

If a polar bear was sitting on the top of an ice float that was 2.5 meters above the surface of the water, the distance between the ice float and the surface of the water will be:

= 2.5 - 0

= 2.5m

If the polar bear dove 6.5 meters from the top of the float into the water to catch a seal, to get the distance between the bear under the water to the sea level, we will use the expression:

2.5 + x = 6.5

Subtract 2.5 from both sides

2.5+x -2.5 = 6.5-2.5

x = 4.0m

Hence the equation that best represents how far below the surface the polar bear dove is 2.5 + x = 6.5 where x is the distance between the polar bear below and the surface of the water

Angle 1 is congruent to ∠5 as they are corresponding angles on a transversal .

Angle 4 is congruent to ∠5 as they are alternate interior angles .