17. Tonya's mother is 1.5 times as tall as
Tonya was when she was 6. How tall
is Tonya's mother? Use the correct
number of significant digits.

Answers

Answer 1

The question is incomplete:

17. Tonya's mother is 1.5 times as tall as  Tonya was when she was 6. How tall  is Tonya's mother? Use the correct  number of significant digits.

The image with the information about Tonya's height is attached.

Answer:

68 in.

Step-by-step explanation:

According to the information given, you can write the following expression:

x=1.5y

x=Tonya's mother height

y= Tony's height when she was 6

Also, you know from the table that Tonya's height when she was 6 was 45 in. and you can replace this value in the formula:

x=1.5*45

x=67.5

Because of this, the answer is that Tonya's mother height is 68 in.

17. Tonya's Mother Is 1.5 Times As Tall AsTonya Was When She Was 6. How Tallis Tonya's Mother? Use The

Related Questions

The chart shows the cost of tuition at a certain state university. Model the data in the chart with a linear function, using the points (1,9941) and (3,11242). Predict the cost of college tuition in 2007-2008.

What is the linear model for the data?
Y=?

Answers

Answer:

The cost in 2007 - 2008  =  $15,795.5

The linear model for the data is y = $650.5·x + $9290.5

Step-by-step explanation:

The given data can be presented as follows;

College year,                         x,                 Estimated tuition, y

1997-1998,                             0,                 $9412

1998-1999,                             1,                  $9941

1999-2000,                            2,                 $10561

2000-2001,                            3,                 $11242

2001-2002,                            4,                  $11965

2002-2003,                            5,                  

2003-2004,                            6,                  

2004-2005,                            7,                

2005-2006,                            8,                

2006-2007,                            9,                  

2007-2008,                            10,                  

With points (1, 9941) and (3, 11242), we have the slope given by the equation;

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

Which gives;

[tex]m = \dfrac{11242 - 9941}{3 - 1}= 650.5[/tex]

Therefore;

y - 11242 = 650.5 × (x - 3)

y= 650.5·x - 650.5 ×3 + 11242

y = 650.5·x + 9290.5

Therefore from the above table at 2007 - 2008, the value of x should be 10, we therefore have;

y = 650.5×10 + 9290.5 = $15,795.5

The cost (estimated tuition) in 2007 - 2008  =  $15,795.5

The linear model for the data is y = 650.5·x + 9290.5.

The linear model for the data is y = 650.5x + 9290.5 and The cost of college tuition in 2007-2008 is $15795.5

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the cost of tuition of battery after x years.

From the table using the points (1, 9941) and (3, 11242):

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\ \\ y-9941=\frac{11242-9941}{3-1}(x-1)\\ \\ y=650.5x+9290.5[/tex]

The linear model for the data is y = 650.5x + 9290.5

At 2007-2008 (x = 10:

y = 650.5(10) + 9290.5 = 15795.5

The cost of college tuition in 2007-2008 is $15795.5

Find out more on linear equation at: https://brainly.com/question/14323743

What is "the sum of twice a number and six is the same as three subtracted from the number itself"?

Answers

Answer:

x=-1

Step-by-step explanation:

2x+6=3-x

Step 1: Simplify both sides of the equation.

2x+6=3−x

2x+6=3+(−x)

2x+6=−x+3

Step 2: Add x to both sides.

2x+6+x=−x+3+x

3x+6=3

Step 3: Subtract 6 from both sides.

3x+6−6=3−6

3x=−3

Step 4: Divide both sides by 3.

3x/3=−3/3

x=−1

Answer:

x=−1

Louisa states that the solution to the equation One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction x + 4 is x = 56. She verifies her solution using the steps below.

Equation: One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction x + 4
Step 1: One-fourth (56) minus 3 = StartFraction 3 Over 8 EndFraction (56) + 4
Step 2: 14 minus 3 = 21 + 4
Step 3: 11 = 25

Answers

Answer:

A

Step-by-step explanation:

The answer is A

Rationalize the denominator of $\frac{\sqrt{32}}{\sqrt{16}-\sqrt{2}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$, and $D$ are integers, $D$ is positive, and $B$ is not divisible by the square of any prime. Find the minimum possible value of $A+B+C+D$.

Answers

Rationalizing the denominator involves exploiting the well-known difference of squares formula,

[tex]a^2-b^2=(a-b)(a+b)[/tex]

We have

[tex](\sqrt{16}-\sqrt2)(\sqrt{16}+\sqrt2)=(\sqrt{16})^2-(\sqrt2)^2=16-2=14[/tex]

so that

[tex]\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{\sqrt{32}(\sqrt{16}+\sqrt2)}{14}[/tex]

Rewrite 16 and 32 as powers of 2, then simplify:

[tex]\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{\sqrt{2^5}(\sqrt{2^4}+\sqrt2)}{14}[/tex]

[tex]\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{2^2\sqrt2(2^2+\sqrt2)}{14}[/tex]

[tex]\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{4\sqrt2(4+\sqrt2)}{14}[/tex]

[tex]\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{16\sqrt2+4(\sqrt2)^2}{14}[/tex]

[tex]\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{16\sqrt2+8}{14}[/tex]

[tex]\dfrac{\sqrt{32}}{\sqrt{16}-\sqrt2}=\dfrac{8\sqrt2+4}7[/tex]

So we have A = 8, B = 2, C = 4, and D = 7, and thus A + B + C + D = 21.

The rationalized form of the given surd is [tex]\frac{8\sqrt{2}+4}{7}[/tex], and the minimum possible value of A + B + C + D = 8 + 2 + 4 + 7 = 21

Rationalizing Surds

From the question, we are to rationalize the denominator of the given surd.

We are to write the answer in the form

[tex]\frac{A\sqrt{B}+C}{D}[/tex]

and find the minimum possible value of A + B + C + D

The given surd is

[tex]\frac{\sqrt{32}}{\sqrt{16}-\sqrt{2}}[/tex]

To rationalize the surd, we will multiply the numerator and denominator by the conjugate of the denominator

The conjugate of the denominator is [tex]\sqrt{16}+\sqrt{2}[/tex]

Therefore,

[tex]\frac{\sqrt{32}}{\sqrt{16}-\sqrt{2}} \times \frac{\sqrt{16}+\sqrt{2}}{\sqrt{16}+\sqrt{2}}[/tex]

[tex]= \frac{\sqrt{32}(\sqrt{16}+\sqrt{2})}{(\sqrt{16}-\sqrt{2})(\sqrt{16}+\sqrt{2})}[/tex]

[tex]= \frac{\sqrt{512}+\sqrt{64})}{(\sqrt{16})^{2} -(\sqrt{2})^{2} }[/tex]

[tex]= \frac{16\sqrt{2}+8}{16-2}[/tex]

[tex]= \frac{16\sqrt{2}+8}{14}[/tex]

[tex]= \frac{2(8\sqrt{2}+4)}{2(7)}[/tex]

By comparing with, [tex]\frac{A\sqrt{B}+C}{D}[/tex]

A = 8, B = 2, C = 4, and D = 7

Then, the minimum possible value of A + B + C + D = 8 + 2 + 4 + 7 = 21

Hence, the rationalized form of the given surd is [tex]\frac{8\sqrt{2}+4}{7}[/tex], and the minimum possible value of A + B + C + D = 8 + 2 + 4 + 7 = 21

Learn more on Rationalizing surds here: https://brainly.com/question/9547165

Laura is the fund-raising manager for a local charity. She is ordering caps for an upcoming charity walk. The company that makes the caps charges $6 per cap plus a $25 shipping fee. Laura has a budget of $1,000. What is the greatest number of caps she can buy? A.162 A. 162 B.163 B. 163 C.166 C. 166 D.167 D. 167

Answers

Answer:

Option B, 163 caps.

Step-by-step explanation:

The price of caps are = $6 per cap.

Shipping charge = $25

The total budget of the Laura = $1000

Since the $25 is shipping charge so subtract it from the budget = 1000 – 25 = $975

Here $975 will be used to buy the caps at the price of $6 per cap.

Thus, the number of caps = budget after subtracting the shipping fee / per cap price

Total caps = $975 / 6

Total caps = 162.5 or 163 caps.

Math Do Now: Maria has a coupon for 30% at Kohl's. If she purchases $200 worth
of clothes, what is her total before taxes? *

Answers

$140
Just multiply 200 by 0.7 (the 30% coupon)
200 x 30%
200 x .3
= 60

200- 60
= 140

find the inverse of the function f(x)=6x^2+3

Answers

Answer:

The answer is

[tex]{f}^{ - 1} (x) = \sqrt{ \frac{x - 3}{6} } [/tex]

Step-by-step explanation:

f(x) = 6x² + 3

To find the inverse of the function above equate it to y

That's

f(x) = y

So we have

y = 6x² + 3

Next interchange the variables that's x becomes y and y becomes x.

x = 6y² + 3

Next make y the subject

Subtract 3 from both sides

That's

6y² + 3 - 3 = x - 3

6y² = x - 3

Divide both sides by 6

That's

[tex] {y}^{2} = \frac{x - 3}{6} [/tex]

Next find the square root of both sides

[tex]y = \sqrt{ \frac{x - 3}{6} } [/tex]

We have the final answer as

[tex] {f}^{ - 1} (x) = \sqrt{ \frac{x - 3}{6} } [/tex]

Hope this helps you

On Saturday, a local hamburger shop sold a combined total of 404 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Saturday

Answers

Answer:134.7

Step-by-step explanation:

if k is the midpoint of LM and k (-4,-6) and m(-7,-3). find l (endpoint)​

Answers

Answer:

(-1,-9) PLEASE MARK BRAINLIEST!!!!!

Step-by-step explanation:

k(-4,-6) , m(-7,-3)

-7+4=-3

-3+6=3

-4+3=-1

-6-3=-9

(-1,-9)

The coordinate of L is  (-1,-9) if the k is the midpoint of LM and k (-4,-6) and M (-7,-3).

What is an ordered double?

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

if k is the midpoint of LM and k (-4,-6) and m(-7,-3).

It is required to find the coordinate of L:

Using the mid-point theorem:

Let the coordinate of L is (x, y)

(x - 7)/2 = -4

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

x - 7 = -8

x = -8 + 7

x = -1

(y - 3)/2 = -6

y - 3 = -12

y = -12 + 3

y = -9

The coordinate of L is  (-1,-9)

Thus, the coordinate of L is  (-1,-9) if the k is the midpoint of LM and k (-4,-6) and M (-7,-3).

Learn more about the order double here:

brainly.com/question/10757890

#SPJ2

Please help me!! I can't do this...

Answers

Answer:

focus and belive on your self

Step-by-step explanation:

The polynomial expressions 10x2 + 26x – 12 and 2(5x – 2)(x – 3) share a common binomial factor.
What binomial factor do they share?

Answers

Answer:

(5x-2)

Step-by-step explanation:

first factor the quadratic equation

10x²+26x-12 by factoring out the gcf of 2

2(5x²+13x-6)    to factor the quadratic, first multiply ac (5)(-6)

find factors of -30 that multiply to give you -30 and add to give you the middle term 13.

factors -2, 15

take your leading term 5x and put it over the 2 factors, then reduce when necessary.  it is not necessary to use the 5x² because the x in the denominator cancels one out)

5x/-2 and 5x/15 (this one can be reduced to x/3

(5x-2)(x+3) are the factors.

the shared factor is (5x-2)

Answer:

they share 5x-2 as common factor

Step-by-step explanation:

10x² + 26x – 12 and 2(5x – 2)(x – 3)

10x² + 26x – 12  take 2 as common factor

2(5x²+13x-6)     factorize

2(5x-2)(x+3)

they share 5x-2 as common factor

Give an example of a function with both a removable and a non-removable discontinuity.

Answers

Answer:

(x+5) (x=3)

(X+5) (x+1)

Step-by-step explanation:

A removeable discontinuity is always found in the denominator of a rational function and is one that can be reduced away with an identical term in the numerator. It is still, however, a problem because it causes the denominator to equal 0 if filled in with the necessary value of x. In my function above, the terms (x + 5) in the numerator and denominator can cancel each other out, leaving a hole in your graph at -5 since x doesn't exist at -5, but the x + 1 doesn't have anything to cancel out with, so this will present as a vertical asymptote in your graph at x = -1, a nonremoveable discontinuity.

On a coordinate plane, point M is plotted (-3,-1) and point N is plotted (4,5). What is the distance between points M and N? square root of 117 square root of 85 5 square root of 17 85

Answers

Answer:

The square root of 85

Step-by-step explanation:

The formula to find out the distance between the points is shown below:

The Distance is

[tex]= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

where,

x_1 = -3

y_1 = -1

x_2 = 4

And, the y_2 = 5

Now place these values to the above formula

So, the distance is

[tex]= \sqrt{(4+3)^2 + (5+1)^2} \\\\= \sqrt{49 + 36} \\\\= \sqrt{85}[/tex]

= 9.22 units

Hence, the distance between points M and N is 9.22 units or the square root of 85

Hence, the second option is correct

Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inches.

Answers

Answer:

Two equal sides = 14.4 inches each

Shortest side = 7.2 inches

Step-by-step explanation:

a + b + c = 36

a = b

a = 2c

then:

c = a/2

a + a + a/2 = 36

2a + a/2 = 36

4a/2 + a/2 = 36

5a/2 = 36

a = 2*36/5

a = 72/5

a = 14.4

a = 2c

14.4 = 2*c

c = 14.4/2

c = 7.2

a = b

b = 14.4

Check:

14.4 + 14.4 + 7.2 = 36

Does 21, 10, and 9 be the measures of the sides of a triangle

Answers

Answer:

no

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

9+10 > 21

19 >21

This is not true so it cannot make a triangle

Factor 25 - 4x^2
25 – 4x^2 = 0

Answers

Answer: (5 + 2x)(5 - 2x)

Step-by-step explanation:

It seems a bit backwards from the way these are usually set up, but still it is the difference of two perfect squares.

perimeter help please quick !

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 4.4}}}}}[/tex]

Step-by-step explanation:

Given,

Length of the rectangle ( l ) = 3x + 5

Breadth of the rectangle ( b ) = 2x - 1

Perimeter of the rectangle ( P ) = 52

Finding the value of x

[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + b)}}[/tex]

⇒[tex] \sf{52 = 2(3x + 5 + 2x - 1)}[/tex]

⇒[tex] \sf{52 = 2(5x + 4)}[/tex]

⇒[tex] \sf{52 = 10x + 8}[/tex]

⇒[tex] \sf{10x + 8 = 52}[/tex]

⇒[tex] \sf{10x = 52 - 8}[/tex]

⇒[tex] \sf{10x = 44}[/tex]

⇒[tex] \sf{ \frac{10x}{10} = \frac{44}{10} }[/tex]

⇒[tex] \sf{x = 4.4 \: }[/tex]

Hope I helped!

Best regards!! :D

b. What is the radius of a ball that uses one-half of the amount of rubber coating used to cover the 16-inch ball? Write your answer in simplest form.
The radius is
inches.
Question 2
A playground ball with a 16-inch diameter has a rubber coating on its surface.

a. Does a ball with a diameter that is $\frac{1}{4}$
times the diameter of the given ball need $\frac{1}{4}$
times the amount of rubber coating? Explain.

Answers

Answer:

The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball is approximately 4.66 inches

Step-by-step explanation:

The dimension of the ball with known radius = 16-inch

The surface area of the ball with 16-inch radius = 4×π×r² = π·D² = π×16² = 804.24772 in.²

Given that the ball uses one-half the rubber material coating used to cover the 16-inch ball, we have the surface area of the ball = 804.24772 in.²/2 = 402.12386 in.²

The radius, r₂ of the new ball is found as follows;

402.12386 in.² = 4×π×r₂²

r₂² = 402.12386 in.² /(4×π) ≈ 32

r₂ = √32 = 4·√2 ≈ 4.66 inches

The radius, r₂, of the ball that uses one-half the amount of rubber coating used to cover the 16-inch ball ≈ 4.66 inches.

What is the simplified form of each expression? (6 + 3)^2 - 4

Answers

Answer:

77

Step-by-step explanation:

(6 + 3)² is same as (a +  b)²

Since (a +  b)² = a² + 2ab + b²

Therefore,

(6 + 3)² - 4

= (36 + 36 + 9) - 4

= 81 - 4

= 77  

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------------

Answer: [tex]\boxed{77}[/tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Since PEMDAS exists, we will do parentheses "(6+3)" first to get 9.

Then we do the exponent which is:

[tex]9^{2}[/tex] = 81.

Then we subtract.

81 - 4 = 77.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

More broken down explanation:

[tex](6+3)^{2} -4[/tex]

Add 6 and 3 to get 9.

[tex]9^{2} - 4[/tex] ≈ [tex]77[/tex]

Calculate 9 to the power of 2 and get 81.

[tex]81-4[/tex] = [tex]77[/tex]

Subtract 4 from 81 to get, you guessed it, 77!

14, the difference of 4 times a and b

Answers

7.5 should be the answer

Do the ratios 20/10 and 1/2 form a proportion?

Answers

Answer:

Yes . Divide by 10 for 10/20 to get 1/2.

10/10= 1

20/10= 2

10/20= 1/2

Find the difference. 15 5/12 - 11 1/8

Answers

Answer:

4 7/24

Step-by-step explanation:

Answer:

103/24 or 4.29 or 4 7/24

Step-by-step explanation:

15 5/12 - 11 1/8

185/12 - 89/8

370/24 - 267/24 = 103/24

or

15 10/24 - 11 3/24 = 4 7/24

HELP PLEASE
Will give brainliest

Answers

Answer:

[tex]=7x^2+8x-2[/tex]

Step-by-step explanation:

So, on Monday, Tuesday, and Wednesday, he mowed:

[tex](4x^2+3x-4),(5x-8),(3x^2+10)[/tex]

yards, respectively.

To determine how many yards he mowed in the three days, simply add the three expressions. Thus:

[tex](4x^2+3x-4)+(5x-8)+(3x^2+10)[/tex]

Combine like terms:

[tex]=(4x^2+3x^2)+(3x+5x)+(-4-8+10)[/tex]

Add or subtract:

[tex]=7x^2+8x-2[/tex]

And it cannot be simplified further :)

How can you prove that a conjecture if false?

Answers

Answer:

To show that a conjecture is false, you have to find only one example in which the conjecture is not true. So an example could be a drawing, a statement, or a number.

Max spent $15 on bowling. This included a $5 charge for shoe rental and a $2.50 charge per game. If g represents the number of games, which equation can be solved to find the number of games that Max bowled?

Answers

Answer:

Step-by-step explanation:

$2.50g + $5 = $15

$2.50g = 10

g = 4 games

The equation that is used to find the number of games that Max bowled is [tex]5+2.50x=15.[/tex]

Charge for shoe rental [tex]=[/tex] $[tex]5[/tex].

Charge per game [tex]=[/tex] $[tex]2.50[/tex].

Let [tex]g[/tex] represents the number of games.

The total charge is the sum of shoe rental charge and charge per game times the number of games.

Total money spent [tex]=[/tex] $[tex]15[/tex].

[tex]5+2.50x=15[/tex]

This is the equation that is used to find the number of games that Max bowled.

Learn more about linear equation here:

https://brainly.com/question/13569231?referrer=searchResults

A sixth-grade class went on a field trip. There were 24 chaperones and 84 students on the trip. What is the ratio of chaperones to total people who went on the trip? *

Answers

Answer:

24 : 84 = 2 : 7

Step-by-step explanation:

We can simplify the ratio 24 : 84 by dividing both terms by the greatest common factor (GCF).

The GCF of 24 and 84 is 12.

Divide both terms by 12.

24 ÷ 12 = 2

84 ÷ 12 = 7

Therefore:

24 : 84 = 2 : 7

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

Answers

Answer:

20360.16 cm^3

Step-by-step explanation:

We are going to assume that the cylinder is filled with water to the brim

Given that the data of the cylinder is

height h= 180 cm

radius r= 60 cm

The formula for the volume of a cylinder is

[tex]volume= \pi r^2h[/tex]

[tex]volume = 3.142*60^2*180\\\\volume= 3.142*3600*180\\\\volume= 20360.16 cm^3[/tex]

The volume of water in the cylinder is 20360.16 cm^3

Plz help ASAP!!!! WILL MARK YOU BRAINLIST IF YOUR ANSWER IS CORRECT!! Question # 7 last question

Answers

Answer:

the last one

Step-by-step explanation:

i took the test

Answer: Choice A

If you plug x = 3 into choice A, then you dont have any division by zero errors or square roots of negative values.

Choice B in contrast has x-9 = 3-9 = -6 under the square root, so this leads to an imaginary/complex result. Choice D is similar.

Choice C will have zero in the denominator after plugging in x = 3 since x^2-9 = 3^2-9 = 9-9 = 0.

Fence posts are erected 5m apart (with a post at each corner) to support fencing round a rectangular field. If the field measures 100m by 60m, how many posts are needed?

Answers

Answer:

64 poles

Step-by-step explanation:

Given the question :

Fence posts are erected 5m apart (with a post at each corner) to support fencing round a rectangular field. If the field measures 100m by 60m, how many posts are needed?

Dimension of rectangular field = 100m by 60m

Length = 100m ; breadth = 60m

Since it is erected around the corners of the field, we need to calculate the entire perimeter of the rectangular field.

Perimeter of a rectangle : 2( length + breadth)

Perimeter = 2(100 +60) = 2(160) = 320m

Since the posts are erected 5m apart, the number of post needed will be :

Perimeter / 5

= 320 / 5

= 64 poles

How would you combine like terms with exponents? Do you add the exponents?

Answers

Answer: When combining like terms, add or subtract the coefficients. Keep the exponents as they are.

Step-by-step explanation:

You can combine 2x^2 + 3x^2 to get 5x^2. If x =3, 3^2=9 So 2(3)^2 is 18 and 3(3)^2 is 27. 18+27=45 And 5(3)^2= 45. Same result!

You can not combine 2x^2 and 2x^3. If the value of x is 3, 2(3)^2 this term works out to =18 and 2(3)^3 =54

If you add the exponents x^5 becomes 2(3)^5 or 2×243=486. Vastly different values! Don't add exponents unless you are multiplying terms.

Yes, when combining like terms with exponents, you add the exponents only if the terms have the same base.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

When combining like terms with exponents, you add the exponents only if the terms have the same base.

For example,

3x² + 9x²

= (3 + 9)x²

= 12x²

And,

2² x 2³

= [tex]2^{2 + 3}[/tex]

= [tex]2^5[/tex]

Thus,

Yes, we add the exponents.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Other Questions
Four students measured the same line with a ruler like the one shown below. The results were as follows: 5.52 cm, 6.63 cm, 5.5, and 5.93. Even though you cannot see the line they actually measured, which of the recorded measurements are possible valid measurements for this instrument, according to its precision? Select all that apply. 1. 5.52 2. 6.63 3. 5.5 4. 5.93 Read the excerpt from George Washington. When the Second Continental Congress assembled in Philadelphia in May 1775, Washington, one of the Virginia delegates, was elected Commander in Chief of the Continental Army. On July 3, 1775, at Cambridge, Massachusetts, he took command of his ill-trained troops and embarked upon a war that was to last six grueling years. Which provides the best objective summary of this excerpt? On July 3, 1775, at Cambridge, Massachusetts, Washington took command of ill-trained troops and embarked upon a war. Washington became the commander in chief of the Continental army in 1775, which was fortunate for the country. He was the best choice to lead unprepared troops. Washington took command of an unprepared army in 1775 and entered into a difficult war that lasted six years. Washington was selected to be the commander in chief of the Continental army. He began his command on July 3rd in Cambridge, Massachusetts. Pump it up gym's daily revenue each can be modeled by R(x)=5x where x represents the number of customers that visit the gym each day. The gym's daily costs can be modeled by the function C(x)=2x+150. Find the profit function P(x)=R(x)-C(x) A) P(x)=3x-150 B) P(x)=7x-150 C) P(x)=7x+150 D) P(x)=3x+150 Interpretation is adding meaning to information by making connections and comparisons and by exploring causes and consequences.A. TrueB. False 1 The metal used to make a coin is a mixture of steel and copper. The ratio mass of steel: mass of copper is 108 :7. The coin has a total mass of 230 milligrams.Calculate the mass of copper in this coin.uene Teniendo en cuenta el estilo de vida de la gente de Orn, qu tan exacto sera decir que el hecho de que no hayan enfrentado la angustia los hara aparecer como personas que ya estaban muertas antes de que llegara la plaga? en el libro La Plaga Albert Camus What should be the function of intelligence tests in grading or marking practices? Why computer is known as data processing system? In a certain ecosystem, foxes hunt and kill rabbits for food. The interaction between foxes and rabbits in this ecosystem can best be described as a _______ relationship. A. predator/prey B. producer/consumer C. decomposer/prey D. parasite/host Using the correct answer from Part B, calculate the volume of a rectangular prism with a length of 5.6 , a width of 2.1 , and a height of 6.6 Part B answer: 11.76cm^2 Jane owns 60% of the private catering corporation there are 1200 shares in the entire corporation how many shares does Jane own Factor u+7u-8honestly I'm just confused how to solve ;-; I see the answer is (u-1)(u-1)(u+8) but I'm not sure how to show the work. if jerome is swinging on a rope and transferring energy from gravitational potential energy to kinetic energy pick out the adverb ? we rose very early? Why should we live with self-respect ? What should be done for this ? Where are most carbohydrates found? Select one: a. fatty foods b. animal origins c. plant foods Angela is curious about how Clomid works to stimulate her ovaries. Her doctor told her that this drug works by "tricking the brain into thinking that the levels of estrogen in the body are low." Which of the following statements help explain why this would lead to a stimulation of the ovaries? a. Clomid is a drug that inhibits the effect of FSH stimulating follicle development in the ovaries b. Clomid prevents estrogen from exerting negative feedback, so LH and FSH levels remain high and continue to stimulate the ovaries c. Clomid produces strong negative feedback on the brain, which leads to a drop in FSH and LH levels. d. Clomid blocks the effect of FSH on the ovaries. The ovaries respond by increasing their production of estrogen. Using the map above,why number is on the state with the capital of concord The following code should take a number as input, multiply it by 8, and print the result. In line 2 of the code below, the * symbol represents multiplication. Fix the errors so that the code works correctly: input ("Enter a number: ") print (num * 8) In a test (+5)marks are give for every correct answer and (-2)marks for every incorrect answer. Jay answered all questions and scored (-12)m though he got four correct answer)how many incorrect answer he attempted