Create an equivalent expression for 1.6 cubed over 1.7 raised to the fourth power all raised to the power of negative seven. 1.6 raised to the fourth power over 1.7 cubed 1.7 raised to the twenty eighth power over 1.6 raised to the twenty first power 1.7 cubed over 1.6 raised to the fourth power 1.6 raised to the twenty first power over 1.7 raised to the twenty eighth power

Answers

Answer 1

Answer:

1.7 raised to the twenty eighth power over 1.6 raised to the twenty first power

Step-by-step explanation:

Let's translate the wording to math form:

Worded question is:

1.6 cubed over 1.7 raised to the fourth power all raised to the power of negative seven

Break it down into parts to make it easier to understand

1.6 cubed  ⇒ 1.6³
1.7 raised to the fourth power ⇒ 1.7⁴
1.6 cubed over 1.7 raised to the fourth power
[tex]\displaystyle \implies \dfrac{1.6^{3}}{1.7^{4}}[/tex]
1.6 cubed over 1.7 raised to the fourth power all raised to the power of negative seven
[tex]\implies \left(\dfrac{1.6^{3}}{1.7^{4}}\right)^{-7}[/tex]

Simplify the above term. When a term with an exponent is raised to another exponent, then the resulting exponent is the product of the two exponents

[tex]\implies \left(\dfrac{1.6^{3}}{1.7^{4}}\right)^{-7} = \left(\dfrac{1.6^{-7 \cdot 3}}{1.7^{-7 \cdot 4 }}\right) = \dfrac{(1.6)^{-21}}{(1.7)^{-28}}[/tex]

For negative exponents we have the rule
[tex]x^{-a} = \dfrac{1}{x^a}[/tex]

So, in this case since both numerator and denominator have negative terms , we simply switch them to get
[tex]\dfrac{(1.7)^{28}}{(1.6)^{21}}\\\\[/tex]

In words we can express this mathematical form as:
1.7 raised to the twenty eighth power over 1.6 raised to the twenty first power

Which is the answer.

Choices are not labeled and formatting is lost in your question so I cannot tell you which choice it is


Related Questions

The shaded model represents 100%. Which model represents 25%?

Answers

➡️Remember to mark me brainliest, please

Answer:

B.

B is the best answer because if you multiply 25x4 it gives you 100 which is even

A teapot can hold 45 liters of water what percentage of the pot is filled when it contains 9 liters of water?

Answers

Answer:

20%

Step-by-step explanation:

9/45 x 100

Answer:

20% of the pot is filled when it contains 9 litres of water.

Step-by-step explanation:

45 litres (total)

9 litres (filled)

9 ÷ 45 = 0.2

0.2 × 100 = 20

(Basically:  [tex]\frac{9*100}{45}[/tex])

Which of the following has a higher percentage of a dollar

a) The value of 7 qurters,4 dimes and 37 nickels
b) The value of a half dollar, 7 dimes and 102 pennies
c) the value of two Susan B Anthony coins, 13 nickels and seventy one pennies
write your answer as a dollar amount and a percent

Answers

Answer:

Step-by-step explanation:

a) 7(25) + 4(10) + 37(5)

   7(20) +7(5) +4(10) + 5(30) + 5(7)

   1.40 + 35 + 40 + 1.50 + 35

   1.75 + 40 + 1.85

   3.60 + 40

  4.00 = 400% of $1

b) 50 + 7(10) + 1.02

   50 + 70 + 1.02

  1.20 + 1.02

  2.22 = 222% of $1

c) 2.00 + 13(5) + 71

   2.00 + 5(3) + 5 (10) + 71

   2.00 + 15 + 50 + 71

  2.00 + 65 + 71

  2.00 + 1.36

  3.36 = 336% of $1

A has a higher percentage of dollar because 400%>336%>222%

1.John’s age is 12 more than 2 times Sam’s age. The sum of their ages is 65. How old are John and Sam?

2.The difference between two numbers is 28. Find the two numbers if the larger number is 3 times the smaller number.

3.Mary and Jim collect baseball cards. Mary has five more than three times as many cards as Jim. The total number of cards they both have is 147. How many cards do they each have?

Give brainliest

Answers

Answer:

2. 14 and 42

i hope it's right :)

Step-by-step explanation:

Let the number be x

So, the larger number = 3x

So the # is 14

Other #

42

The ages of John and Sam are 47.34 and 17.66 years respectively.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, John’s age is 12 more than 2 times Sam’s age. The sum of their ages is 65.

Let, The age of Sam be 'x'.

Therefore, 2x + 12 + x = 65.

3x = 53.

x = 17.66.

So, Sam is 17.66 years old and john is (65 - 17.66) = 47.34 years old.

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One boxcar of a model train measures 6 inches in length. The actual length of a boxcar is 606 inches (50.5 ft). What is the scale of the model?

Answers

Answer:

56.ft

Step-by-step explanation:

Answer:

56 feet

Step-by-step explanation:

Latanya plans to repaint some classroom
bookcases. She has 5 gallons of paint. All
of the bookcases are the same size and
each requires gallon of paint. What is
the maximum number of complete
bookcases she can paint?

Answers

Latanya has 5 gallons of paint and each bookcase requires 1 gallon of paint to be fully painted, so she can paint 5/1=<<5/1=5>>5 bookcases.
This is the maximum number of complete bookcases she can paint.

PLEASE HELP AND GRAPH I WILL GIVE BRAINLIEST!!!!! IMAGES ADDED

Answers

Qu2) Yes, the graph shows that x and v have a proportional relationship. This can be seen because the points lie on a straight line, which indicates that the ratio of x to v is constant. When the value of x increases by 2, the value of v also increases by 4, which means that x and v are directly proportional
ONLY DOING THIS SO THE GUY ONTOP CAN GET BRAINLIEST!!

Can someone help, please

Answers

Answer:y=-9x+7

Step-by-step explanation:

The slope intercept form is y=mx+b

M= slope, b=y intercept

y=-9x+7

Y=-9x+7
M =slope b= y intercept

ILL GIVE BRAINLISET
Simplify fraction with 7 minus 2 times 8 in the numerator and the cube root of 8 plus 6 in the denominator.

negative nine eighths
three eighths
negative three eighths
nine eighths

Answers

0.625 that’s a correct answer

Simplified form of the fraction is -9/8. Therefore, option A is the correct answer.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, (7-2×8)/(∛8+6).

= (7-16)/(2+6)

= -9/8

Therefore, option A is the correct answer.

To learn more about the fraction visit:

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Help pls, v2 of last question. Zoom in if needed

Answers

Answer: I'm not 100% sure what you're asking for, but the full answer to the last question is a .25 increase or a 25% increase.

Step-by-step explanation:

First, we need to see how much it increases.

We would take 1.50, and minus 1.25 from it to get our first answer of .25.

To get the percentage of increase, we would take our .25, and times it by 100 equaling 25%.

On the last question it’s a .25 increase so it’s going to be 25% increase.

Carrie is creating a painting for art class. The width of the canvas is 5 inches greater than the height of the canvas. Write a simplified equation in terms of h (the height) for the perimeter, p, of the canvas. (Please show works!!!)

Answers

Answer:

5h

Step-by-step explanation:

there isnt any out numbers so the answer is just 5h.

5+h+5+h+h+h=P

Since there are 4 sides, there are 4 terms.

Days People
1 26
2 30
3 34
4 38
5 42
6 46


The chart shows how many people have signed up to go on a field trip each day. How many people would you expect to sign up on day 7?
Responses
A 4949
B 5050
C 4747
D 48

Answers

50 people would be expected to show up on day 7.

Each day the number of people goes up by four people, 46 + 4 = 50

Therefore there would be 50 people by day 7.
Answer: B

Explanation:

If you look at the number of people, you can see by how many days go by the number of people go up by +4. So, by the seventh day there should be 50 people because 46 + 4 = 50

Question 10 math homework

Answers

Answer:d

Step-by-step explanation:

I believe the answer to that question is d

Carl says the solution to a system of linear equations is (2, 6). What does Carl’s solution mean?

A. (2, 6) is the point of intersection for the lines of the two linear equations on a graph.

B. (2, 6) does not fall on the line for either equation.

C. The solution to one equation is x = 2 and the solution to the other equation is x = 6.

D. The point (2, 6) is the point of origin for one of the two equations.

Answers

Answer is A. (2, 6) is the point the lines intersect on the graph, this is the x,y solution to the equation. It has exactly one solution, if (2, 6) were substituted into the equation the equation would equal or be true.

the answer for this is A.

what is the of this expression 5/6 (1/8 / 3/4)

Answers

Answer:

2/3

Step-by-step explanation:

5/6-(1/8 / 3/4)

Skip flip multiply

5/6-(1/8x4/3)

5/6-(4/24)

5/6-(1/6)

4/6

2/3

hopes this helps please mark brainliest

1. Corey’s pay increases from £12.36 per hour to £14.11 per hour. Find the percentage increase to 1 decimal place.

Answers

Answer:

14.2% increase

Step-by-step explanation:

Corey’s pay increases from £12.36 per hour to £14.11 per hour. Find the percentage increase to 1 decimal place.

(14.11 - 12.36)/12.36 = 0.141586

0.141586 as a percent:

0.141586 * 100 = 14.2% increase

14.2% increase
would be the answer

HELP PLEASE!!

This table represents the number of ounces, u, a kitten grows after w, weeks.


When graphed, all of the points in the table lie on the same line.




What is the slope and y-intercept of the line?



slope=2/3, y-intercept=−0.2


slope=−3/2, y-intercept = 3


slope= 3/2, y-intercept = 3


slope= −2/3, y-intercept=−0.2

Answers

Y intercept is the value of y at x = 0

At x = 0, y = 3

Y intercept is 3

The rate of growth of the cat is positive, meaning thats it gains, not loses, weight.

Option C is the only correct one.

It has a positive slope, and a y intercept of 3

To solve for slope mathematically, pick two points.

(0, 3)    (6,12)

(x1, y1)  (x2, y2)

or

(x2, y2) (x1, y1)

Pick which one is x1 and y1 and x2 and y2 based on what seems easier to calculate

Slope is equal to [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{12-3}{6-0}[/tex]

9/6

slope is 3/2

Hope this helps,

Jeron

:)

Solve -5w = -80 for w.

w=

Answers

Answer:

[tex]\huge\boxed{\sf w = 16}[/tex]

Step-by-step explanation:

Given equation:

-5w = -80

Divide -5 to both sides

w = -80/-5

w = 16

[tex]\rule[225]{225}{2}[/tex]

-5w=-80
—— ——
-5 -5

w=16

Help. I'll mark as brainlist.

Answers

Answer:

Step-by-step explanation:

Angle ACD and Angle DCA you will realize that they represent the same angle.

Angle ACD and Angle DCA
The angle is the same,but just has two different names

can someone help me with these?

Answers

Answer:

#1 is 14

Step-by-step explanation:

if a = 16, and you're doing a - 4, that means 16-4, which is 14 :)

1.) 16-4=12
2.)2(3)+9=15
3.)26/2=13
4.)5(9+3)-6=54
5.)6^2+23=59
6.) 3(8)-11=13
7.) (5-2)•9=27
8.) 2(3^2)•5=90
9.) 22,20,18
10.) W=2,3,4~ 3v+w= 14,21,28
11.) y=1,2,4~ x^2+y = 4, 18, 16

Which of the following questions describes the equation a/4 = -20?

A What number, when multiplied by four, is equal to negative twenty?
B What number, when divided by four, is equal to negative twenty?
C What number, when multiplied by negative twenty, is equal to four?
D What number, when divided by negative four, is equal to twenty?

Answers

Answer:

Option  - What number , when divided by four , is equal to negative twenty  is correct

Step-by-step explanation:

Given equation is

Rewrittting the given equation as below :

The number a is divided by 4 is equal to -20

Option question describes the given equation What number , when divided by four , is equal to negative twenty  is correct

need help on this one

Answers

Answer:

Repeating

Repeating

Non-Repeating

repeating

Step-by-step explanation:

1. Repeating
2. Repeating
3. Non-repeating
4. Repeating

Please help asap and explain how you did it! Tysm!!♡♡

Answers

Answer:

5

Step-by-step explanation:

The points have a distance of 5 away from eachother

The answer is 5
Explanations:

Can someone help, please

Answers

Answer: the slope is -5/8

Step-by-step explanation: use desmos graphing calculator, it helps a lot. just put the 2 coordinates in and you see that the y value drops from 9 to 4, and the x value moves right from 1 to 9, hence -5/8

Answer:slope is -5/8

help fast
expressions equivalent to 0.2(1.3x - 4.2) - x + 6.2

Answers

69696696969696969696
Simplify the radical expression.
-0.74x + 5.36

What is the sum of the composite numbers between 13 and 23? Justify your answer. A. The composite numbers between 13 and 23 are 14, 15, 16, 17, 18, 20, 21, and 22. The sum of these numbers is 143. B. The composite numbers between 13 and 23 are 14, 15, 16, 18, 20, and 22. The sum of these numbers is 105. C. The composite numbers between 13 and 23 are 14, 15, 16, 18, 20, 21, and 22. The sum of these numbers is 137. D. The composite numbers between 13 and 23 are 14, 15, 16, 18, 20, 21, and 22. The sum of these numbers is 126.

Answers

Answer:

D. The composite numbers between 13 and 23 are 14, 15, 16, 18, 20, 21, and 22. The sum of these numbers is 126.

Step-by-step explanation:

14+15=29+16=45+18=63+20=83+21=104+22=126

Please brainlist if you can....

The composite numbers between 13 and 23 are 14, 15, 16, 18, 20, 21, 22. The sum of these numbers is 126.

What are composite functions?

Functions which are formed by composing two or more functions in a way that one's output is another's input are called composite functions. They are also called function of functions.

We need to find the sum of composite numbers between 13 and 23.

Therefore,

14+15 = 29+16 = 45+18 = 63+20 = 83+21 = 104+22 = 126

The composite numbers between 13 and 23 are;

14, 15, 16, 18, 20, 21, and 22.

Hence, the sum of these numbers is 126.

So the correct option is D.

Learn more about numbers here;

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Can someone help, please

Answers

Answer: -9/7 or -1 2/7

Step-by-step explanation:

use slope formula

y2-y1/x2-x1

(x1,y1)(x2,y2)

substitute in and solve

8-17/8-1

-9/7

the slope is -9/7

Answer:

slope = m = -9/7

Step-by-step explanation:

(1,17) (8,8)

(X1, Y1) (X2, Y2)

slope = (Y2-Y1)/(X2-X1)

then

slope = m = (8-17)/(8-1)

m = -9/7

Write an exponential growth function to model each situation,
15. Initial value: 20
Growth factor: 1.25

Answers

Answer: f(x)=20(1.0125)^t

Step-by-step explanation:

use the formula P(1+r)^t when considering exponential growth (make it 1-r if decay)

P - principal (initial) value

r - growth rate (as a decimal! so divide by 100)

t - time (can be years, months, days, etc)

so now that we know the formula, just plug in everything you know!

P=20, r=0.0125, t=x

so the function is

20(1+0.0125)^t or 20(1.0125)^t

since we dont have a defined time, that becomes the variable for x, the one we can manipulate, so if they ask for 10 years, just replace t with 10!

The equation d = 10h represents the number of miles d, that Jin travels in h (hours). If Jin cuts down the time it takes him to travel 30 miles to 1.5 hours, what constant is multiplied by in the new equation
Equation: d = ________ h

Answers

0.15 is multiplied by 10 = 1.5 hours
The filled spot will be 20 because 20 times h (1.5) equals 30(d). To solve divide 30 by 1.5 and get 20

4x - 2(x - 2) = -9 + 5x - 8

Answers

Answer is x = 7

Step by step

4x -2(x - 2) = -9 +5x -8
Distribute

4x -2x +4 = -9 +5x -8
Combine

2x + 4 = 5x -17

Subtract 5x from both sides to isolate variable

2x -5x +4 = 5x -5x -17
Combine

-3x +4 = -17

Subtract 4 from both sides to combine constants

-3x +4 -4 = -17 -4
Combine

-3x = -21

Divide both sides by -3 to solve

-3/-3 x = -21/-3

x = 7
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