twenty professiional athlets were asked what age did you graduate from college the responses are displayed in the histogram below

The expressions that are equal to 7⁸ x 7 are:

B. For (7¹⁸)/7⁹

C. For (7³)³

E. For 7⁴ x 7⁵

Exponential functions now have formula f(x) = bx, where b > 0 and b 1. As in any exponential expression, b serves termed the base and x is called its exponent. The proliferation of bacteria is an example of such an exponential function.

A. For 7³ x 7³

simplify using exponent rule with the same base: aⁿ x aˣ

= aⁿ ⁺ ˣ

= 7³ ⁺ ³

Calculate the sum or difference: 7⁶

Calculate power : 117649

simplify using exponent rule with the same base: aⁿ x aˣ

= aⁿ ⁺ ˣ

= 7⁸ ⁺ ¹

Calculate the sum or difference: 7⁹

Calculate power : 40353607

Check equivalency: False

Solution: False

B. For (7¹⁸)/7⁹

Reduce the fraction: 7⁹

Calculate power : 40353607

simplify using exponent rule with the same base: aⁿ x aˣ

= aⁿ ⁺ ˣ

= 7⁸ ⁺ ¹

Calculate the sum or difference: 7⁹

Calculate power : 40353607

Check equivalency: True

Solution: True

C. For (7³)³

simplify using exponent power rule : 7⁹

Calculate power : 40353607

simplify using exponent rule with the same base: aⁿ x aˣ

= aⁿ ⁺ ˣ

= 7⁸ ⁺ ¹

Calculate the sum or difference: 7⁹

Calculate power : 40353607

Check equivalency: True

Solution: True

D. For 7⁴ + 7⁵:

Calculate the power: 2401 + 16807

Calculate the sum or difference: 19208

simplify using exponent rule with the same base: aⁿ x aˣ

= aⁿ ⁺ ˣ

= 7⁸ ⁺ ¹

Calculate the sum or difference: 7⁹

Calculate power : 40353607

Check equivalency: False

Solution: False

E. For 7⁴ x 7⁵:

simplify using exponent rule with the same base: aⁿ x aˣ

= aⁿ ⁺ ˣ

= 7⁴ ⁺ ⁵

Calculate the sum or difference: 7⁶

Calculate power : 40353607

simplify using exponent rule with the same base: aⁿ x aˣ

= aⁿ ⁺ ˣ

= 7⁸ ⁺ ¹

Calculate the sum or difference: 7⁹

Calculate power : 40353607

Check equivalency: True

Solution: True

To know more about exponent rule visit:

https://brainly.com/question/14513824

#SPJ9

I understand that the question you are looking for is:

Select all the expressions that are equivalent to 7⁸ x 7.

A. For 7³ x 7³

B. For (7¹⁸)/7⁹

C. For (7³)³

D. For 7⁴ + 7⁵:

E. For 7⁴ x 7⁵

Answer:

none

Step-by-step explanation:

point steeler

Writing the interval [2,6] using​ set-builder notation, is:

{ x | x ∈ R, 2 ≤ x ≤ 6 }

Real numbers (R) include all rational and irrational numbers.

Thus If we need to write the interval [2,6] using​ set-builder notation, we will write as:

{ x | x ∈ R, 2 ≤ x ≤ 6 }

This is interpreted as x belongs to a set of real numbers greater than or equal to 2 but less than or equal to 6

Read more about Set builder notation at; https://brainly.com/question/24438069

#SPJ1

Answer: That is a cold front

Step-by-step explanation:

It is a cold front because the warm air is rising because it is less dense than the cold air which is why the cold air isn’t rising because the cold air is denser than that of the warm air so it just continues moving forward

The maximum number of performers in each row so that all the rows are equal in length is 6.

It is given that there are 30 instruments and 18 flag bearers.

Prime factorization of 30 is given by

  [tex]30=2\times3\times5[/tex]

Prime factorization of 18 is given by

   [tex]18=2\times3\times\ 3[/tex]

The prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF will be [tex]2\times3=6[/tex]

Learn more about HCF here :

https://brainly.com/question/26431349

#SPJ9

Rory can make 43 metaballs from the remaining beef.

Rory has 6 pounds of ground beef on hand for making meatballs.

He makes 9 meatballs with 5/8 pounds of meat per meatball.

We must subtract 5/8 from 6.

There are 43/8 pounds of ground beef remaining.

As a result, the number of 1/8 pound meatballs produced from 21/8 pound ground beef can be calculated as follows:

Therefore, Rory can make 43 metaballs from the remaining beef.

Know more about maths operations here:

https://brainly.com/question/20628271

#SPJ1

The piecewise function for the monthly charge W(x) for a customer who uses x hours of electricity is given by:

The graph of the function is given at the end of the answer.

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

For this problem, we have that:

The monthly charge is calculated differently according to the number of kWh of electricity used, divided into two cases as follows:

For up to 300 hours, the base charge of $50 plus the hourly fee of $0.0650 is charged, hence:

W(x) = 50 + 0.0650x, 0 ≤ x ≤ 300.

For more than 300 hours, the customer is charge 50 + 300 x 0.0650 = $69.5, plus the hourly fee of $0.0850, hence:

W(x) = 69.5 + 0.0850x, x > 300.

More can be learned about piecewise functions at brainly.com/question/27262465

#SPJ1

The width of the rectangular painting painted by John is  24.15 inch.

For, the given question;

The perimeter of the rectangular painting painted by the John is 108.56 in.

The formula for the perimeter of the rectangle is;

Perimeter = 2(length + width)

Thus,

2(length + width) = 108.56

The rectangular painting is 5.97 in. taller than it is wide.

It means;

Length = 5.97 + width

Put the value in perimeter.

2(5.97 + width + width) = 108.56

11.94 + 4 width = 108.56

width = 24.155

width = 24.155 (decimal rounded to two decimal places)

Therefore, the width of the painting is 24.15 inch.

To know more about the rectangle, here

https://brainly.com/question/25292087

#SPJ9

AAnswer:

Las Letras A B C , en matematicas el valor puede variar ; ya que ya depende del valor que se le otorge o ya si es una operacion , pues el valor que se obtiene , es decir las letras en matematicas no tiene o poseen un valor fijo

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The domain of g(x) is the set of all real numbers. Meaning that all the numbers between the min and max of g would be -7 ≤ x ≤ 7.

Answer:

y = 3x/7 - 11/7

Step-by-step explanation:

3x/7 - 7y/7 = 11/7

-11/7   +y      -11/7 +y

3x/7 - 11/7 = y

The non-permissible replacement for x in this expression is 1.

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.

Given:

The given expression is

[tex]x=\frac{b^{2} }{5b-5}[/tex]

Non-Permissible Values: values of a variable that make the denominator of a rational expression equal 0.

If the denominator contains a binomial, the non-permissible values can be determined from the factored form of the binomial.

A rational expression is a fraction, where p and q are polynomials, q ≠ 0. A non-permissible value is a value of the variable that causes an expression to be undefined. For a rational expression, this occurs when the denominator is zero.

Inadmissible Values: values of a variable that do NOT make sense in the context of a given problem.

According to given question we have

The expression is

[tex]x=\frac{b^{2} }{5b-5}[/tex]

By definition, the non-permissible replacement for x in this expression, is the value of x that makes the denominator equal to zero.

5b-5=0

5b=5

Divide both sides by 5 we get,

b=1

Therefore, the non-permissible replacement for x in this expression is 1.

Learn more details about expression here:

https://brainly.com/question/14083225

#SPJ1

Answer:

Option 2

Step-by-step explanation:

Answer:

188

Step-by-step explanation:

Answer:

14 in

Step-by-step explanation:

the formula for the circumference of a circle is

2×pi×r

or (because the diameter is 2×r)

pi×d

with r being the radius and d being the diameter.

44 = pi×d

d = 44/pi = 14.00563499... in ≈ 14 in

Answer:

D.

Step-by-step explanation:

[tex]17\% = 0.17\\0.25 = 0.25\\2/9 = 0.22\\\\0.17 \rightarrow 0.22 \rightarrow 0.25[/tex]

Answer:

D

Step-by-step explanation:

17%, 2/9= 22%, 0.25= 25%

Answer:

D

Step-by-step explanation:

Se can feed pickle freom the bag

AAAAAAAAAAnswer: 24/4 = 6

Horse runs at the faster rate i.e. at the rate of 58 feet per seconds.

According to the given question.

A bear can run 400 feet in 8 seconds.

A horse can run 290 feet in 5 seconds.

As we know that, the measurement of the speed at which something happens is called rate.

Therefore, form distance rate formula (rate = distance/time)

The rate of the bear =  400/8 = 50 feet/sec

And the rate of the horse = 290/5 = 58 feet/sec

Therefore, horse can run faster than bear.

Hence, horse runs at the faster rate i.e. at the rate of 58 feet per seconds.

Find out more information about rate here:

https://brainly.com/question/359790

#SPJ1

Answer:

$24,862.96

Step-by-step explanation:

100% = $23,472

105.5% = answer?

To convert a percentage to a decimal, you have to divide by 100:

100% = 1.0

5.5% = 0.055

105.5% = 1.055

1.055 × $23,472 = $24,862.96

The shelter has a volume of (E) 1108.25ft³.

Formula: V = lwh

Put the values in the formula as follows:

Therefore, (E) 1108.25ft³ is the volume of the shelter.

Know more about Cuboids here:

https://brainly.com/question/26403859

#SPJ9

The correct question is given below:

Lorie ordered a shed to hold her gardening supplies. The shed had a length of 16.25 ft, a width of 11 ft, and a height of six and one-fifth ft. Determine the volume, V, using the formula V = lwh.

a. 31.45 cubic ft

b. 103.32 cubic ft

c. 983 2 cubic ft J

d. 1.033.2 cubic ft

e. 1108.25

Answer:

9w

Step-by-step explanation:

First: combine like terms

3 - 5w + 12 + 2w - 3

(-5w) + 2w = (-3w)

Second: subtract 3 from 12 (12 - 3)

3 - 3w + 12 - 3

Third: subtract 3w from 3 (3 - 3w)

3 - 3w + 9

Forth: add 9 to w (w + 9)

w + 9

Answer:

9w

Answer:

44

Step-by-step explanation:

20 ÷ 5 = 4 minutes per page

4 x 11 pages = 44

coordinates of the new station= (5,98/4)

When two lines intersect at a point then the angle between them can be expressed in terms of their slopes and is given by the following formula:

tan θ = |

|where

are the slopes of the line AB and CD respectively.

If

is positive then the angle between the lines is acute. If

is negative then the angle between the lines is obtuse.

Slope of Vertical Lines

Vertical lines have no slope, as they do not have any steepness. Or it can be said, we cannot define the steepness of vertical lines.

A vertical line will have no values for x-coordinates. So, as per the formula of slope of the line,

Slope, m = (y2 – y1)/(x2 – x1)

But for vertical lines, x2 = x1 = 0

Therefore,

m = (y2 – y1)/0 = undefined

In the same way, the slope of horizontal line is equal to 0, since the y-coordinates are zero.

m = 0/(x2 – x1) = 0 [for horizontal line]

Positive and Negative Slope

If the value of slope of a line is positive, it shows that line goes up as we move along or the rise over run is positive.

If the value of slope is negative, then the line goes done in the graph as we move along the x-axis.

Let R,Q,T be the points that divide the line into 3:4 equal parts

Let the Q = (x,y)

R(1, 2) and T(8, 23) ,

x = m1x1+m2x2/m1+m2

y = m1y1+m2y2/m1+m2

X= 3.1+4.8/7

x= 3+32/7

x=35/7

x=5

y=2.3+23.4/3+4

y= 6+92/4

y=98/4

y= 24.5

(x,y) = (5,98/4)

More details: brainly.com/question/15165057

#SPJ9

The temperature changes for each day are 32.12 °C (Day 1) and 33.02 °C (Day 2), respectively. The day 2 registered the highest temperature change.

Herein we find a table with the temperatures at sunrise and sunset in two days and we need to determine the temperature change for each period and conclude in what day the change was the highest. The temperature change can be found by using the following formula:

ΔT = T' - T

Where:

The temperature changes for each day are 32.12 °C (Day 1) and 33.02 °C (Day 2), respectively. The day 2 registered the highest temperature change.

To learn more on temperature changes: https://brainly.com/question/11186605

#SPJ1

The least value is 11.

[tex]$$\begin{aligned}&\mathrm{S}=\frac{1}{1-(1 / 2)}=2 \\&\mathrm{~S}_{\mathrm{n}}=\frac{1-(1 / 2)^{\mathrm{n}}}{1-(1 / 2)}=2-\frac{1}{2^{\mathrm{n}-1}}\end{aligned}$$[/tex]

[tex]$$\mathrm{S}-\mathrm{S}_{\mathrm{n}}=\frac{1}{2^{\mathrm{n}-1}} < \frac{1}{1000} \text { or } 2^{\mathrm{n}-1} \geq 1000$$[/tex]

Now [tex]$2^{10}=32 \times 32=1024$[/tex]

[tex]$$\therefore n-1 \geq 10 \text { or } n \geq 11$$[/tex]

Hence the least value is 11.

If you have a positive term in your quadratic equation, it will also have a minimum value. This minimum value can be found by graphing the function or solving one of the two equations. If you have the equation y = a[tex]x^2[/tex] + bx + c, you may use the equation min = c - [tex]b^2[/tex]/4a to determine the minimum value.

A quadratic equation is a second-order polynomial equation in a single variable x a[tex]x^2[/tex]+bx+c=0. with a ≠ 0 . The fundamental theorem of algebra assures that it has at least one solution because it is a second-order polynomial equation.

To learn more about quadratic equation visit , https://brainly.com/question/17177510

#SPJ9

Parking space B covers a greater area.

Here, we are given a parking lot has two types of parking spaces- rectangles and parallelograms, as shown in the figure.

Let us calculate the area of each figure one by one-

Area of rectangle = length × breadth

Here, length = 6 units

breadth = 3 units

Thus, area of rectangle = 6 × 3

= 18 square units

Now, area of a parallelogram = base × height

here, base = 4 units

height = 5 units

Area = 4 × 5

= 20 square units

⇒ the area of the parallelogram is greater than the rectangle

Thus, parking space B covers a greater area.

Learn more about area here-

https://brainly.com/question/25292087

#SPJ9

Your question was incomplete. Check for the missing figure below.

The possible outcomes for the sum are the numbers in the set:

{2, 3, 4, 5, 6, 7}

So there are 6 possible outcomes.

You can select a number between 1 and 3, so the options are {1, 2, 3}

The computer selects a number between 1 and 4, so the options are {1, 2, 3, 4}

The possible aditions, in the form of "your number + computer number" are:

1 + 1 = 2

2 + 1 = 3

3 + 1 = 4

1 + 2 = 3

2 + 2 = 4

3 + 2 = 5

1 + 3 = 4

2 + 3 = 5

3 + 3 = 6

1 + 4 = 5

2 + 4 = 6

3 + 4 = 7

So the possible outcomes for the sum are the numbers in the set:

{2, 3, 4, 5, 6, 7}

So there are 6 possible outcomes.

If you want to learn more about outcomes:

https://brainly.com/question/24756209

#SPJ1