Determine whether
25m/
5
is equivalent to each of the following expressions.
Equivalent
Not equivalent
25m-1
252m-1
52m-1

Determine Whether25m/5is Equivalent To Each Of The Following Expressions.EquivalentNot Equivalent25m-1252m-152m-1

Answers

Answer 1

Answer:

(a) and (b) are not equivalent

(c) is equivalent

Step-by-step explanation:

Given

[tex]\frac{25^m}{5}[/tex]

Required

Determine an equivalent or nonequivalent expression

[tex](a)\ 25^{m-1[/tex]

We have:

[tex]25^{m-1[/tex]

Apply law of indices

[tex]25^{m-1} = \frac{25^m}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](b)\ 25^{2m - 1}[/tex]

We have:

[tex]25^{2m - 1}[/tex]

Apply law of indices

[tex]25^{2m - 1} = \frac{25^{2m}}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](c)\ 5^{2m-1}[/tex]

We have:

[tex]5^{2m-1}[/tex]

Apply law of indices

[tex]5^{2m-1} = \frac{5^{2m}}{5^1}[/tex]

[tex]5^{2m-1} = \frac{5^{2m}}{5}[/tex]

Evaluate the numerator

[tex]5^{2m-1} = \frac{25m}{5}[/tex]

This is an equivalent expression


Related Questions

What is the area of a triangle that has a base of 15 yards and a height of 11 yards?
O 165 yd 2
41.25 yd 2
O 330 yd 2
O 82.5 yd 2
Please asap

Answers

Answer:

The shape is a triangle, not a quadrilateral.

Step-by-step explanation:

A= hbb/2 = 11·15/2 = 82.5

The area of the triangle is 82.5 yd².

ANSWER AND STEPS PLEASE

A container that holds wheat is shaped like a cone. The diameter of the base of the container is 21 and 3/4 feet, and the height of the container is 10.3 feet.

Which measurement is closest to the volume of the container in cubic feet?

Answer choices:

A. 15,307.55 ft3

B. 1,275.63 ft3

C. 5,102.52 ft3

D. 3,826.89 ft3

Answers

Answer:

answer is b.

Step-by-step explanation: use formula

V=1/3(hπr²)

so using this formula gives us 1275.62897 but rounded off gives us 1,275.63 ft3

the answer to your question is going to be letter b

3. Figure ABCD Shown below is
made up of a semlore and a
rectangle. O is the contre of the
line DC
(Use
- )
10 cm
Calculate the area of
anglo AOB​

Answers

Answer:

In a rectangle ABCD of 3 mx 4 m, starting from A and D, along the sides AB and DC after every 30 cm, a square shape of 10 cm is taken out as shown below. What will be the perimeter (in cm)

Step-by-step explanation:

12 CM And 300 CM is the answer

i need help now, The rectangle and the trapezoid have the same area. What is the length l of the rectangle?

Answers

Answer:

The I is 12.

Step-by-step explanation:

You dont count the slang when you are finding the area, im not good at explaining but its basically just 12x9. 12x9=x. X is the area- aka 108. Divide 108 by the 9 in the rectangle. IM BAD AT EXPLAINING SORRY

Answer:

36

Step-by-step explanation:

(figure out length of triangle)24-12=12

(find full length of base which is equal to L of rectangle)24+12=36

Solve the quadratic equation by using either a numeric or a graphic approach. x^2-14x-49=0

A. X= -11.1 or x=-12

B. X=12.3 or x=-10.82

C. X=16.9 or x=-2.9

D.X=1 or x=-3

Answers

Answer:

The answer to this question is A

Step-by-step explanation:

15. Which graph shows - 3x + y = 8

first question

Answers

Answer:

Im sorry but i can't read it

Step-by-step explanation:

Element X is a radioactive isotope such that every 11 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 60 grams, how much of the element would remain after 25 years, to the nearest whole number?

Answers

Answer:

Ending Amount = beginning amount / 2^n  where "n" is the number of half-lives or elapsed time / half-life

For this problem "n" = 25 / 11 = 2.2727272727

Ending Amount = 60 grams / 2^2.2727272

Ending Amount = 60 / 4.832357534

Ending Amount = 12.4162998242 grams

Source: www.1728.org/halflife.htm

Step-by-step explanation:

A radionuclide is a nuclide with excessive nuclear energy, which makes it unstable. The element would remain after 25 years, to the nearest whole number is 2 grams.

What is a radioactive isotope?

A radionuclide is a nuclide with excessive nuclear energy, which makes it unstable. This surplus energy can be discharged as gamma radiation from the nucleus, transferred to one of its electrons and released as a conversion electron, or used to generate and produce a new particle from the nucleus.

Given the life of radioactive material is stated by the formula,

[tex]N_t = N_o e^{-\lambda t}[/tex]

Now, given the half-life of the comes in 11 years, therefore, the rate of decay will be,

[tex]N_t = N_o e^{-\lambda t}\\\\\dfrac{N_t}{ N_o }=e^{-\lambda t}\\\\0.5 = e^{-\lambda \times 11}\\\\\dfrac{ln(0.5)}{11}=\lambda[/tex]

λ = 0.14631

Given the initial mass is 60 grams, therefore, the amount that will be remaining after 25 years will be,

[tex]N_{25} = 60 \times e^{(-0.14631\times 25)}\\\\N = 1.5474\rm\ grams \approx 2\ grams[/tex]

Hence, the element would remain after 25 years, to the nearest whole number is 2 grams.

Learn more about Radioactive Isotopes:

https://brainly.com/question/1907960

#SPJ2

Joey is buying a new flat screen TV for $359.99. Sales tax in Jeoy's state is 8.25%. Calculate the amount of sales tax that Jeoy will pay for the purchase

Answers

Answer: 389.69

Step-by-step explanation:

Answer: $29.70

Step-by-step explanation:

total x tax rate= 359.99 x 8.25 = 2969.92

divide by 100% = $29.70

sales tax total: $29.70

Plzzzz answer fast......​

Answers

Answer: (d)

Step-by-step explanation:

Given

XYZA is a rhombus and side XY is 8 units

We know, In a rhombus

All sides are equalsDiagonals bisect each other perpendicularly

Using the above property, we can write

[tex]XY=ZA=8\ \text{units}[/tex]

Thus, option (d) is correct.

I need help with this question what do I but in the blank for the last number

Answers

Answer:

13 cm

Step-by-step explanation:

use pythagorean theorem

Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its present resale value is $420,000. Assuming that the machine's resale value decreases exponentially, what will it be (in dollars) 4 years from now? (Round your answer to the nearest dollar.)

Answers

Answer:

260,000

Step-by-step explanation:

The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000

So, the value should be 260,000 (500000-240000)

Or

year 1 500000-40000=460000

year 2 460000-40000=420000

year 3 420000-40000=380000

year 4 380000-40000=340000

year 5 340000-40000=300000

year 6 300000-40000=260000

The machine's resale value Garland Mills purchased in 4 years from now will be; $353,049

What is the future value amount?

We are told that the machines present resale value is $420000. Now formula for future value is;

Future value = present value * exp(cx)

Thus;

$420,000 = $500,000 * exp(2c)

420000/500000 = exp(4c)

2c = In(420000/500000)

c = -0.087

Future value = present value * exp(cx)

Future value = $500,000 * exp(-0.087 * 4)

Future value = $353,049

Therefore, the machine's resale value in 4 years from now will be  $353,049

Read more about future value amount at; https://brainly.com/question/13961729

For the following right triangle, find the side length x. Round your answer to the nearest hundredth
12
9

Answers

Answer:

7.94

Step-by-step explanation:

[tex]a^{2} + 9^{2} =12^{2} \\a^{2} +81 = 144\\a^{2} = 63\\a = \sqrt{63} \\a= 7.93725[/tex]

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-volume-with-fractions/e/volume_with_fractions?modal=1

Answers

???? Do we go to that website to answer the question? I’m lost

plz help solve,
velocity units are ft/min

Answers

Answer:

t = 11 min

and

t = 18 min

Step-by-step explanation:

When we have unidimensional motion, the sign of the velocity defines the direction.

So we could say that a positive velocity like:

v = 4ft/min

Means that you are moving to the right with a speed of 4 feet per minute.

And a negative velocity like:

v = -3 ft/min

means that you are moving to the left with a speed of 3 feet per minute.

Then the bug changes direction when the velocity changes of sign.

In the graph, we can see that the velocity changes of sing in two points, these points are:

t = 11 min

and

t = 18 min

What is the volume of the fish tank if the base is 4 feet, the width is 2 feet, and
the height is 3 feet? Be sure to label your units.

Answers

Answer:

  24 ft³

Step-by-step explanation:

The volume formula for a rectangular prism is ...

  V = LWH

  V = (4 ft)(2 ft)(3 ft) = 24 ft³

The volume of the fish tank is 24 cubic feet.

plsss help with this question pls with whole procedure pls help ​

Answers

i hope this helps.......

A pet rescue center takes in animals from a local shelter. Half of the animals that they take in are cats.
Let a = the total number of animals.
Let c = the number of cats.
Complete the table to show the number of cats, c, that are taken in by the pet rescue when a animals are taken in.


Answers

Answer:

1st answer =10

2nd answer=4

3rd answer=12

4th answer=8

When using an equivalent fraction to find a percent, why do you write 100 as the denominator ?

Answers

You write 100 as the denominator because 100 represents a whole whereas the numerator normally represents a percentage. Hope this helps!

please help A video game box is shaped like a rectangular prism with the following dimensions Length = 20 in • Width = 8.25 in. • Height = 4.5 in. What is the volume of the box in cubic inches? ​

Answers

Answer:

V= 742.4 in³

Step-by-step explanation:

V= L x W x H = (20)(8.25)(4.5) = 742.4 in³

Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express.coordinates as fractions, using the slas
mark ( / ) for the fraction bar.
(-4,3) (-4,-3)

Answers

The midpoint would be (-4,0)

Find the distance between the points (-4,-5) and (3, -1).
✓17
37
65

Answers

Answer:

3.16

Step-by-step explanation:

Given data

points (-4,-5) and (3, -1)

x1=-4

y1=-5

x2=3

y2=-2

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((3-4)²+(-2-(-5))²)

d=√((-1)²+(-2+5)²)

d=√1+(3)²

d=√1+9

d=√10

d=3.16

Hence the distance is 3.16

differentiate with respect to x:y= sinh^-1(x^2+1)

Answers

Answer:

The first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] is [tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex].

Step-by-step explanation:

We proceed to find the first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] by explicit differentiation and rule of chain:

[tex]y = \sinh^{-1} (x^{2}+1)[/tex]

[tex]y' = \frac{2\cdot x}{\sqrt{(x^{2}+1)^{2}+1}}[/tex]

[tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex]

The first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] is [tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex].

First answer gets brainest. 8th grade math root question

Answers

Answer:

9

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Square Rooting is basically going down to the origins of the number, trying to figure out what times (x) would give you your current number. In order it get 81, you would need  to do 9*9, therefore making the square root 9

Kate is building with blocks. She needs to build a rectangular prism that is 4 meters long by 3 meters wide by 112 meters high. She is building with cubes that have side lengths of 12 meter. What is the volume of the box she needs to build in cubic meters?

Answers

9514 1404 393

Answer:

  1344 cubic meters

Step-by-step explanation:

The volume is the product of the dimensions for a rectangular prism:

  V = LWH

  V = (4 m)(3 m)(112 m) = 1344 m³

Kate needs a volume of 1344 cubic meters.

The following table shows the values of y for different values of x:


x y
0 0
1 0
2 4


Which statement best explains whether the table represents a linear function or a non-linear function?
It represents a linear function because its points are on a straight line.
It represents a linear function because its points are not on a straight line.
It represents a nonlinear function because its points are on a straight line.
It represents a nonlinear function because its points are not on a straight line.

Answers

Answer:

I believe it is D

Step-by-step explanation:

Not 100% dont trust double check

The local grocery store is having a sale on watermelons. Mr. Jackson purchases 10 watermelons for a school picnic. He pays $39.90 for the watermelons. What is the price of each watermelon?​

Answers

Answer:

$3.99 per watermelon

Step-by-step explanation:

$39.90 total paid divided by 10 watermelons is $3.99

4. Samara's monthly taxable income was $3276.54. If she paid $757.24 in taxes, what
percentage of her taxable income did she pay?

Answers

Answer:

23.1%

Step-by-step explanation:

Given data

monthly taxable income was $3276.54

Tax= $757.24

Percentage of tax paid= tax paid/monthly income* 100

Percentage of tax paid=757.24/3276.54* 100

Percentage of tax paid=0.231* 100

Percentage of tax paid=23.1%

During a certain epidemic, the number of people that are
infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?

Answers

9514 1404 393

Answer:

  1367 people

Step-by-step explanation:

The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...

  i(t) = 1000(1.2^(t/7))

After 12 days, the number infected is modeled as ...

  i(12) = 1000(1.2^(12/7)) ≈ 1367

About 1367 people are infected 12 days after discovery.

product is to multiplications as quotient is to​

Answers

Division. When you divide, the quotient is what you get as the answer

Colin slices a cake into 8 equal-sized slices. He and his friends eat 5 slices of the cake.

What fractional part of the cake do Colin and his friends eat?

Answers

Answer:

5/8

Step-by-step explanation:

there are 8 slices.

if he and his friends eat 5 pieces, they ate 5 out of 8 pieces.

in maths, we write 5 out of 8 like 5/8

hope this helped, any questions - just ask

good luck,

-cheesetoasty

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