Simplify 12 raised to 2/5 into 5 raised to 2/5

Answers

Answer 1

Answer:

60^2/5

Step-by-step explanation:

2^2/5 × 5^2/5

=(12×5)^2/5

=60^2/5

Answer 2

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textsf{12}}^ \mathsf{^ {\dfrac{2}{5}}}\ \huge\boxed{\times}\ \huge\textsf{5}^\mathsf{^ \dfrac{2}{5}}[/tex]

[tex]\huge\boxed{=}\huge\textsf{ 2.70192 }\huge\boxed{\times}\huge\textsf{ 1.903654}[/tex]

[tex]\huge\boxed{= }\huge\textsf{ 60}^\mathsf{\dfrac{2}{5}}[/tex]

[tex]\huge\boxed{\approx}\huge\textsf{ 5.143521}[/tex]


[tex]\huge\text{Therefore, the answer is: \boxed{\textsf{60}^\mathsf{^\dfrac{2}{5}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]


Related Questions

#8 HELP IM STUCK ON THIS

Answers

Answer:

12 ft

Step-by-step explanation:

for the model is 1 and the actual is 5

conversion yards to feet

3 feet = 1 yard

20 * 3 = 60

60/5 = 12

your answers 12 ft

hope this helps:)

would you please help me?

Answers

Answer:

52

x 6

300 6 x 5 tens

+12 6 x 2 ones

312

Can someone solve this please

Answers

Answer:

4x + 5x = 180

9x = 180

x = 180/9

x = 180 ÷ 9

x = 20

What is the quotient? startfraction 2 y squared minus 6 y minus 20 over 4 y 12 endfraction divided by startfraction y squared 5 y 6 over 3 y squared 18 y 27 endfraction startfraction 2 over 3 (y minus 5) endfraction startfraction 3 (y minus 5) over 2 endfraction startfraction (y minus 5) (y 2) squared over 6 (y 3) squared endfraction startfraction 3 (y 5) (y minus 2) over 2 (y 2) endfraction

Answers

The quotient of two fractions, (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27), is: 3(y - 5)/2

What is a Quotient?

Quotient can be described as the result you get from dividing a term by another term.

Let's find the quotient of (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27)

Quotient = (2y² - 6y - 20)/(4y + 12) ÷ (y² + 5y + 6)/(3y² + 18y + 27)

Change the division sign to multiplication sign and turn the second fraction upside down

(2y² - 6y - 20)/(4y + 12) × (3y² + 18y + 27)/(y² + 5y + 6)

Bringing out the common terms, we would have:

2(y² - 3y - 10)/4(y + 3) × 3(y² + 6y + 9)/(y² + 5y + 6)

Factorize

2(y - 5)(y + 2)/4(y + 3) × 3(y + 3)(y + 3)/(y + 3)(y + 2)

Cancel out common factors

= 3(y - 5)/2

Quotient = 3(y - 5)/2

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Answer:b

Step-by-step explanation:

lol

I need help what is (4÷5×x) what I x​

Answers

Answer:

0.8x

Step-by-step explanation:

According to BODMAS,

Step 1 :

4 ÷ 5

= 4 / 5

= 0.8

Step 2 : Multiply x.

0.8 * x = 0.8x

Answer:

Step one

4 ÷ 5

= 4/5

= 0.8

Step two = 0.8 * x

= 0.8x

The paddock in judy's ranch is 60 feet long and 20 feet wide. he also built a square corral adjacent to the paddock. if the side of the corral measures 16 feet, determine the total area of the paddock and corral.

Answers

Answer:

1456ft²

Step-by-step explanation:

A = lw

A = 60(20)

A = 1200ft²

A = 16(16)

A = 256ft²

1200 + 256 =

1456ft²

Construct a 90% confidence interval for the population mean, . assume the population has a normal distribution. a sample of 15 randomly selected students has a grade point average of 2.86 with a standard deviation of 0.78

Answers

Answer:

[tex]CI=\{2.5053,3.2147\}[/tex]

Step-by-step explanation:

Assuming the conditions for constructing a t-confidence interval are true, we use the formula [tex]\displaystyle CI=\bar{x}\pm t^*\biggr(\frac{s}{\sqrt{n}}\biggr)[/tex] where our sample mean is [tex]\bar{x}=2.86[/tex], our sample standard deviation is [tex]s=0.78[/tex], our sample size is [tex]n=15[/tex], and a 90% confidence level is equivalent to a critical value of [tex]t^*=1.7613[/tex],

[tex]\displaystyle CI=\bar{x}\pm z^*\biggr(\frac{s}{\sqrt{n}}\biggr)\\\\CI=2.86\pm 1.761\biggr(\frac{0.78}{\sqrt{15}}\biggr)\\\\CI=2.86\pm0.3547\\\\CI=\{2.5053,3.2147\}[/tex]

Hence, we are 90% confident that the true population mean of a student's grade point average is between 2.5053 and 3.2147

Line segment xy is tangent to circle z at point u. circle z is shown. line segment u v is a secant. line segment x y is a tangent and intersects the circle at point u. the measure of arc u v is 84 degrees. if the measure of arc u v is 84°, what is the measure of angle y u v? 42° 84° 96° 168°

Answers

Based on the calculations, the measure of angle YUV is equal to 42°.

What is a line segment?

A line segment refers to a part of a line that is bounded by two (2) distinct points and it has a fixed length.

Based on the information given, we can deduce the following:

O is center of circle (∠YUO  = 90°)The measure of arc UV is 84° (∠UOV = 84°)OU is equal to OV and equal to radius (∠OVU = ∠OUV)

From triangle UOV, we have:

∠OUV + ∠OUV + ∠UOV  = 180°

2OUV + 84 = 180

2OUV = 180 - 84

2OUV  = 96

OUV  = 96/2

OUV  = 48°

Now, we can determine the measure of angle YUV:

∠YUV = ∠YUO - ∠OUV

∠YUV = 90 - 48

∠YUV = 42°.

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Answer:

42

Step-by-step explanation:

whats the 8th term of 12,18,27

Answers

THIS QUESTION IS SOLVED BY DOUBLE DIFFERENCE

8,12,18,27

DIFFERENCE NO. 1

12–8=4

18–12=6

27–18=9

DIFFERENCE NO. 2

6–4=2

9–6=3

FINALLY

4+9=13

13+27=40

ANSWER= 40

Answer:

205.03125.

Step-by-step explanation:

18/12 = 1.5

27/18 = 1.5

This is geometric with nth term = ar^(n-1)

Here first term a = 12 and common ratio r = 1.5, so

The 8th term = 12(1.5)^(8-1)

= 205.03125

Stephanie earns $50 a week from babysitting. She spends
$25, saves $15, and uses the rest to repay a loan of $100 from
her brother. After six weeks, how much has Stephanie spent,
how much has she saved, and how much does she still owe her
brother?

Answers

Step-by-step explanation:

Stephanie has spent $150

she has saved $90

and owes her brother$40

Spent:
$25 X 6 = $150

Saved:
$15 X 6 = $90

Owed:
$50 - $25 - $15 = $10
$10 X 6 = $60
$100 - $60 = $40

Identify the terms, coefficients, and constants in the expression 20x+13.

Answers

Answer: coeficient is 20 and the constant which is 13

Step-by-step explanation:

Over the closed interval [3, 8], for which function can the extreme value theorem be applied?

Answers

Answer:

ITS C

Step-by-step explanation:

trust

The volume of this cylinder is 1,481,276.16 cubic inches. What is the radius? (will mark brainliest)

Answers

Answer:

radius = 72.00 in (nearest hundredth)

Step-by-step explanation:

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Volume = 1,481,276.16 in³Height = 91 inπ ≈ 3.14

Substituting the given values into the formula and solving for r:

[tex]\implies \sf 1481276.16=3.14 \cdot r^2 \cdot 91[/tex]

[tex]\implies \sf 1481276.16=285.74r^2[/tex]

[tex]\implies \sf r^2=\dfrac{1481276.16}{285.74}[/tex]

[tex]\implies \sf r^2=5184[/tex]

[tex]\implies \sf r=\sqrt{5184}[/tex]

[tex]\implies \sf r=72\:in[/tex]

Answer: radius : 72.00 inch

The following is a cylinder.

Volume of Cylinder: πr²h

Given following:

volume: 1,481,276.16height: 91 inchπ ≈ 3.14radius: r

Solve for radius:

[tex]\rightarrow \sf \pi r^2h =V[/tex]

[tex]\rightarrow \sf (3.14) r^2(91) =1,481,276.16[/tex]

[tex]\rightarrow \sf r^2 =\dfrac{1,481,276.16 }{91(3.14)}[/tex]

[tex]\rightarrow \sf r^2 =5184[/tex]

[tex]\rightarrow \sf r=\sqrt{5184}[/tex]

[tex]\rightarrow \sf r=72[/tex]

its wrong someone help me with it

Answers

Answer:

the answer is π^8

Step-by-step explanation:

the math program has got some bugs in it. See your teacher and tell him or her about it


John bought 4 pounds of hot dogs for his party.
How many ounces of hot dogs did John buy?

Answers

Answer:

64 Ounces

Step-by-step explanation:

64 Ounces of hot dogs

Answer:

64 oz

Step-by-step explanation:

1 lb = 16 oz

4 × 1 lb = 4 × 16 oz = 64 oz

i need some help with this

Answers

Answer:

x + y = 4

substitute (-A, 2B) in the equation.

-A + 2B = 4

substitute (3A-2, 3-B) in the equation

3A-2 + 3-B = 4

Use elimination method and hence multiply the first substituted equation by 3

-3A + 6B = 12

3A-2 + 3-B = 4

-2 + 3 + 5B = 16

5B = 15

B = 3

Substitute value of B in any of the equations

and hence A = 2

Find the distance between y=7 and y=-1

Answers

Answer:

Er I think it’s 8 but not sure

Step-by-step explanation:

help geometry ………ignore this i need 20 words

Answers

Answer:

The answer is 1

Step-by-step explanation:

If the dimensions of a rectangular prism are 10 cm x 5 cm x 7 cm, what is
the surface area?

Answers

Answer:

310

Step-by-step explanation:

Multiply the l/w/h x 2

evaluate the following expression. you should do this problem without a calculator e^In3

Answers

The relation between the exponential and the logarithm is used. Then the expression [tex]e^{\ln3}[/tex] is given as 3.

What is a logarithm?

Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.

The expression is given below.

[tex]\rightarrow e^{\ln3}[/tex]

We know the formula

[tex]\rm e^{\ln x} = x[/tex]

Then the expression can be written as

[tex]e^{\ln3} = 3[/tex]

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What is the volume of a rectangular sandbox that is 3 feet by 4 feet by 1 foot?

13 ft 3
8 ft 3
12 ft 3
7 ft 3

Answers

Answer:

Volume = 12 ft^3

Step-by-step explanation:

Vol = length×width×height

= 3×4×1

= 12

The volume is 12 cubic feet.

it would be 12ft3 because 3x4x1= 12!

sin(-17pi/6)

How do I solve this

Answers

Answer:

if you have a graphing calculator you can just plug the whole equasion in. the anser I got was -0.1547307191

Step-by-step explanation:

to get pie you have to hit second and then ^

A teacher randomly chooses a two-person leadership team from a group of four qualified students. Three of the
students, Sandra, Marta, and Jane, are girls. The fourth student, Franklin, is a boy.
Using the sample space of possible outcomes listed below, where each student is represented by the first letter
of his or her name, answer each of the following questions.
What is P(A), the probability that the first student is a girl?
What is P(B), the probability that the second student is a girl?
What is P(A and B), the probability that the first student is a girl and the second student is a girl?

Answers

Answer:

what is P(A), the probability that the first student is a boy? 3/5


what is P(B), the probability that the second student is a girl? 3/4


what is P(A and B), the probability that the first student is a boy and the second student is a girl? 1/2


No, évents A and B are not independent events

Step-by-step explanation:

The probability that the first student is a girl P(A)= 3/4.

The probability that the second student is a girl P(B)= 3/4.

The probability that the first student is a girl and the second student is a girl P(A and B)=9/16.

Given that there are three girls (Sandra, Marta, Jane) and one boy (Franklin), and the sample space of possible outcomes is:

{SA, SM, SJ, SF, MA, MS, MJ, MF, JA, JS, JM, JF, FA, FS, FM, FJ}

P(A): Probability that the first student is a girl (Sandra, Marta, or Jane).

Number of favorable outcomes where the first student is a girl: 3 (Sandra, Marta, Jane)

Total outcomes: 4 (total number of students)

P(A) = Number of favorable outcomes / Total outcomes = 3 / 4

P(B):

Probability that the second student is a girl (Sandra, Marta, or Jane).

Number of favorable outcomes where the second student is a girl: 3 (Sandra, Marta, Jane)

Total outcomes: 4 (total number of students)

P(B) = Number of favorable outcomes / Total outcomes = 3 / 4

P(A and B):

Probability that the first student is a girl and the second student is a girl.

Number of favorable outcomes where both students are girls: 3 (Sandra, Marta, Jane)

Total outcomes: 4 (total number of students)

P(A and B) = P(A).P(B)

= 3/4 × 3/4

=9/16

Hence, P(A)=3/4

P(B)=3/4

P(A and B)=9/16

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Which of these describes how the function is increasing and decreasing?

Answers

Answer:

increasing from -2 to +∞

Step-by-step explanation:

The graph starts at -2 and continues to the right which means it increases from -2.

Answer:

Increasing from -2 to positive infinity.

Step-by-step explanation: This is because this is the graph of the square root of x + 2. It will increase from -2 in the x range and eventually hit every single x value from -2 to positive infinity.

John is weighing his jars of coins. his jar of pennies weighs 84.96 ounces, and his jar of nickels weighs 3.11 kilograms. there are 0.0283495 kilograms per ounce. which jar weighs more, and how many more pounds does it weigh? a. the jar of pennies weighs 8.41 pounds more than the jar of nickels. b. the jar of pennies weighs 0.089 pounds more than the jar of nickels. c. the jar of nickels weighs 2.06 pounds more than the jar of pennies. d. the jar of nickels weighs 1.55 pounds more than the jar of pennies.

Answers

The jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d

Calculating weight

From the question, we are to determine the jar that weighs more

From the given information

His jar of pennies weighs 84.96 ounces

and his jar of nickels weighs 3.11 kilograms

First, we will 84.96 ounces to kilogram

From the given conversion,

There are 0.0283495 kilograms per ounce

That is, 0.0283495 kg = 1 ounce

If 1 ounce = 0.0283495 kg

Then,

84.96 ounces = 84.96 × 0.0283495 kg

∴ 84.96 ounces = 2.4086 kg

His jar of pennies weighs 2.4086 kg

Since the John's jar of nickels weighs 3.11 kg, his jar of nickels weigh more.

3.11 kg - 2.4086 kg = 0.7014 kg

Convert 0.7014 kg to pounds

1kg =  2.20462 pounds

∴ 0.7014 kg = 0.7014 × 2.20462 pounds

0.7014kg ≅ 1.55 pounds

Hence, the jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d.

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Bob bikes to work 8 miles each day. The trip takes him 0.5 hours. If Bob bikes at a constant rate, what is his biking speed? A. 5 mph B. 8 mph C. 16 mph D. 40 mph

Answers

Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.

Option C) is the correct answer.

What is Speed?

Speed is simply referred to as distance traveled per unit time.

Mathematically, Speed = Distance ÷ time.

Given the data in the question;

Distance covered d = 8milesTime elapsed t = 0.5hrsSpeed of the bike S = ?

Speed = Distance ÷ time

Speed = 8miles / 0.5hrs

Speed = 16 mph

Therefore, Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.

Option C) is the correct answer.

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Solve the following:
4x3 = 2x + 7

Answers

Answer:

If you meant 4x to the third power, than x = 1.34

Simplify this question

Answers

Step-by-step explanation:

9x²/3x + 12x/3x + 1

= 3x/1 + 4/1 + 1

= 3x + 5

I hope this is true..

9x^2 +6x+6x+1
3x(3x+2) +6x +1

Answer = 3x +2+6x+1
=9x +3 or 3(3x+1)

the points at which a quadratic equation intersects the x-axis

Answers

The points at which a quadratic equation intersects the x-axis are referred to as   x intercepts or zeros or roots of quadratic equation

Given :

The points at which a quadratic equation intersects the x-axis

The points at which the any quadratic equation crosses or touches the x axis are called as x intercepts.

At x intercepts the value of y is 0.

So , the points at which a quadratic equation intersects the x-axis is also called as zeros or roots of the quadratic equation .

The points at which a quadratic equation intersects the x-axis are referred to as   x intercepts or zeros or roots of quadratic equation

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How do you add these two consecutive triangular numbers?
TR(4)+TR(3)

Answers

The n-th trianglar number is given by

[tex]T_n = \dfrac{n(n+1)}2[/tex]

Then

[tex]T_4 + T_3 = \dfrac{4\times5}2 + \dfrac{3\times4}2 = \boxed{16}[/tex]

Alternatively, the triangular numbers are defined recursively by

[tex]\begin{cases}T_1 = 1 \\ T_n = T_{n-1} + n & \text{for } n>1\end{cases}[/tex]

This means

[tex]T_1=1[/tex]

[tex]T_2 = T_1 + 2 = 3[/tex]

[tex]T_3 = T_2 + 3 = 6[/tex]

[tex]T_4 = T_3 + 4 = 10[/tex]

so that

[tex]T_3+T_4=\boxed{16}[/tex]

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