Which is the expression is equivalent to 27/125
a (3/5)3
b 3/5'3
c (3/4)2
d(3'3/5'5)

Answers

Answer 1

Answer:

a

Step-by-step explanation:

(3/5)^3= 27/125

So a is the correct answer

Answer 2

Answer:

Answer option D.

I'm assuming you meant (3/5)'3 for option A.(3/5)^3 also known as (3/5)'3 in your case.

If we simplify the expression (3/5)^3 we can see that ^3 means you cube both the numerator and the denominator since 3/5 is in parenthesis.

Numerator:

3 cubed(3^3) would result in

= 9

Denominator:

5 cubed(5^3) would result in

= 125

Hence, you'll get 9/125.

So your answer is;

A, (3/5)'3

Related Questions

What numbers multiply to get 72 and add to get 12?

Answers

Answer:

9,8,3

Step-by-step explanation:

9×8=72

9+3=12

as you can see the common number is 9 here

hello, can anyone help me, please?

Find the circumference and area of the circle. Each unit on the graph measures 1 centimeter. Round to the nearest tenth, if necessary.

Answers

The circumference of the circle, to the nearest tenth, is: 47.1 cm

The area of the circle, to the nearest tenth, is: 176.7 cm²

What is the Area and Circumference of a Circle?Circumference = 2πrArea = πr², where r is the radius of the circle.

Since each unit = 1 cm on the graph, radius = 7 1/2 = 7.5 cm.

Circumference = 2πr = 2π(7.5)

Circumference = 47.1 cm

Area = πr² = π(7.5²) = 176.7 cm²

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Dave has a lawn mowing business. Based on daily sales figures for the past two summers, he has developed the following probability distribution for X = number of lawns mowed on a randomly selected day.


A) What is the probability that he will mow exactly 2 lawns on a randomly selected day?

B) What is the probability that he will mow at least 1 lawn on a randomly selected day?

C) What is the expected value (mean) of lawns mowed on a randomly selected day?

Answers

Using a discrete probability distribution, it is found that:

a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

c) The expected value is of 1.3 lawns mowed on a randomly selected day.

What is the discrete probability distribution?

Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:

P(X = 0) = 0.2.P(X = 1) = 0.4.P(X = 2) = 0.3.P(X = 3) = 0.1.

Item a:

P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

Item b:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2 = 0.8[/tex]

There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

Item c:

The expected value of a discrete distribution is given by the sum of each value multiplied by it's respective probability, hence:

E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.

The expected value is of 1.3 lawns mowed on a randomly selected day.

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Solve for the vaule of x:-
[tex]2x+3 = 5[/tex]

Answers

Answer:

The value of x = 1

Step-by-step explanation:

2x+3 = 5

=> 2x = 5-3

=> 2x = 2

=> x = 2/2

=> x = 1

Answer:

x = 1

Step-by-step explanation:

In this question we are given with an equation that is 2x + 3 = 5 . And we are asked to find the value of x .

Solution : -

[tex] \longmapsto \qquad \: 2x + 3 = 5[/tex]

Step 1 : Subtracting with 3 on both sides :

[tex] \longrightarrow \qquad \:2x + \cancel{ 3} - \cancel{3} = 5 - 3[/tex]

On further calculations, We get :

[tex] \longrightarrow \qquad \:2x = 2[/tex]

Step 2 : Dividing with 2 on both sides :

[tex] \longrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{2}{2} }[/tex]

On calculating further, We get :

[tex] \longrightarrow \qquad \: \blue{\underline{\boxed{ \sf{x = 1}}}} \quad \bigstar[/tex]

Henceforth , value of x is 1 .

Verifying : -

Now we are checking our answer by substituting value of x in the given equation . So ,

2x + 3 = 5

2 ( 1 ) + 3 = 5

2 + 3 = 5

5 = 5

L.H.S = R.H.S

Hence , Verified .

Therefore , our answer is correct .

#Keep Learning

helpppppppppppppppppppppppp

Answers

Answer:

[tex]360\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the bottom rectangle

[tex]A = l * w[/tex]

[tex]A = 10\ cm * 12\ cm[/tex]

[tex]A = 120\ cm^2[/tex]

Step 2:  Determine the area of the back rectangle

[tex]A = l * w[/tex]

[tex]A = 10\ cm * 5\ cm[/tex]

[tex]A = 50\ cm^2[/tex]

Step 3:  Determine the area of the top rectangle

[tex]A = l * w[/tex]

[tex]A = 10\ cm * 13\ cm[/tex]

[tex]A = 130\ cm^2[/tex]

Step 4:  Determine the area of the triangle

[tex]A = \frac{h*b}{2}[/tex]

[tex]A = \frac{5\ cm * 12\ cm}{2}[/tex]

[tex]A = \frac{60\ cm^2}{2}[/tex]

[tex]A = 30\ cm^2[/tex]

Step 5:  Determine the surface area

[tex]120\ cm^2 + 50\ cm^2 + 130\ cm^2 + 2(30\ cm^2)[/tex]

[tex]360\ cm^2[/tex]

Answer: [tex]360\ cm^2[/tex]

Find the area of a sector of a circle with radius 6 centimeters and central angle 4pi/3 radians.​

Answers

The area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.​

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point (called the center of a circle).

We have the radius of the circle r = 6 centimeters

Central angle = 4π/3 = 240°

We know the area of the sector :

[tex]\rm =\dfrac{\theta}{360\°}\pi r^2[/tex]

[tex]\rm =\dfrac{240\°}{360\°}\pi (6)^2[/tex]

= 0.667×3.1415×36

= 75.43 square centimeters

Thus, the area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.​

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Can someone help me please?

Answers

Answer:

its too small to see

Step-by-step explanation:

50 POINTS AND BRAINLIEST! PLEASE HELP!
Solve and show your work for each question.

Note: Remember per the rule of 9s if you have a repeating and non-repeating
component you need to handle them separately.

What is 0.47 expressed as a fraction in simplest form?

What is 0.47_ expressed as a fraction in simplest form?

What is 0.47__expressed as a fraction in simplest form?

3 parts to this question! answer all honestly and show ur work!

Answers

The computation shows that the value of 0.47 when expressed as a fraction in its simplest form is 47/100.

How to convert a decimal to a fraction?

Multiply by 100/100 and keep in the form without division.

A. (0.47)

0.47 x 100/100

= 47/100

B. (-0.47)

= -0.47 x 100/100

= -47/100

C. (0.--47)

A minus sign multiplied by another minus sign makes a positive sign

= 0.--47 ⇒ 0.47

= 47/100

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i will give brainliest image below

Answers

Answer:

55°

Step-by-step explanation:

50+75=125. 180-125=55

55+90=145. 180-145=35

90-35=55

Angle ABC (B) is 55°

Method I used:

All lines need to add to 180° so I found the 3rd angle for C. Then I drew an imaginary line perpendicular to lines n and m that intersects line m at point B. The angles of that triangle need to add to 180° so I added 90° (right angle) with the 3rd angle of C (55°) then subtracted that value from 180 to get angle B. Then i found ABC (B).

The answer is 55 degrees

Can someone help me with this please.

Answers

Answer:  A. Register

Step-by-step explanation:

Each time you write a check or deposit money in your account, its recorded  in your check register.

help me with this please..!

Answers

Answer:

[tex]y \geq -4[/tex]

Step-by-step explanation:

This is because the lowest the y-coordinate goes to is -4.

please What is worse Precalculus or AP Computer Science Principles?? I have to decide which class i want. PLEASE ANSWER QUICK

Answers

Answer:

Computer Science is more harder so I would go with Precalculus.

Your friend shows you a coin collection. In​ it, 38/50 of the coins are quarters. What percent of the coins are​ quarters?

Answers

Answer: 76%

Step-by-step explanation: 38/50 × 100/1

Please help! Will mark brainlyest.

Answers

Point A is located at (-2, -6), so since it mentions you must translate 4 units up, you know that the y coordinate will move 4 units up. Hence, -6 + 4 = -2, so the final coordinates of the question is (-2, -2).

Answer:

(-2,-2)

Step-by-step explanation:

Y-axes gose up and down

x-axes gose side to side

(x,y) is how its written. So -6 +4= -2

brainlyest and five stars, please :)

The circumference of a circle is 12π m. What is the area, in square meters? Express your answer in terms of π.

Answers

Answer:

π 36 m^2

Step-by-step explanation:

C = 2π R = 12π m --> R = 6m

A = π R^2 = π 36 m^2

Answer:

Area of circle = 36π

Step-by-step explanation:

In the question we are given that circumference of circle is 12π m . And we are asked to find the area of circle in term of π .

Solution : -

For finding area of circle we need to find the radius of circle . In the question circumference of circle is given . So we can find radius of circle using it . We know that ,

[tex] \qquad \quad \pink{\underline{\pink{\boxed{\frak{Circumference_ {(Circle) }= 2\pi r}}}}}[/tex]

Where ,

π refers to 3.14 or 22/7

r refers to radius of circle

But as in the question , it is given that we have to find the area in term of π. So we aren't using π as 3.14 or 22/7 .

Now, Radius :

[tex] \longrightarrow \qquad \: 12 \cancel{\pi }= 2 \cancel{\pi} r[/tex]

Step 1 : Cancelling π and we get :

[tex] \longrightarrow \qquad \:12 = 2r[/tex]

Step 2 : Dividing both sides by 2 :

[tex] \longrightarrow \qquad \: \cancel{\dfrac{12}{2} } = \dfrac{ \cancel{2}r}{ \cancel2} [/tex]

On further calculations we get :

[tex] \longrightarrow \qquad \: \boxed{ \bf{r = 6 \: m}}[/tex]

Therefore , radius of circle is 6 m .

Finding Area :

As we have find the radius of circle above so we can find its area easily . We know that ,

[tex] \qquad \: \qquad \pink{\underline{\pink{ \boxed{{\frak{ Area_{(Circle)} = \: \pi r {}^{2} }}}}}}[/tex]

Now substituting value of radius :

[tex] \longmapsto \: \qquad \quad\pi (6) {}^{2} [/tex]

[tex] \longmapsto \: \qquad \quad \pi \times \: 6 \times 6[/tex]

[tex] \longmapsto \: \qquad \quad \pi \times 36[/tex]

We get :

[tex] \longmapsto \: \qquad \quad \blue{\underline{\blue{\boxed{\frak{ \bf{36 \pi \: m {}^{2} }}}}}}[/tex]

Therefore, area of circle is 36π square metres .

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What is the cost of each filter if eight filters cost $39.922?

Please help!

Answers

Answer:

Your answer is exactly 100% $4.99!

Step-by-step explanation:

Answer:

$4.99 is your answer.

Step-by-step explanation:

                     Have a great morning, afternoon or night!

                                                   ~Dreamer1331~

*Please mark BRAINLIEST if correct and you feel I deserve it, thank you!*

What is the volume of the composite figure? 1,200 units3 4,400 units3 5,040 units3 6,000 units3

Answers

Answer:

6,000 units3

Step-by-step explanation:

got it rt

8374274 x 345
What is the answer?

Answers

Answer:

2,889,124,530

A high school has 35 students who play only stringed instruments,
10 students who play only brass instruments, 5 students who play
both, and 5 students who don't play either. What is the probability
that a randomly selected student at this high school plays a stringed
instrument or a brass instrument?

Answers

Answer:

[tex]\frac{10}{11}[/tex]

Step-by-step explanation:

Note : the total number of students is 55

___________________________

[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]

p(A) = 40/55

p(B) = 15/55

[tex]p\left( A\cap B\right) =\frac{5}{55}[/tex]

Therefore,

[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]

               [tex]=\frac{40}{55} +\frac{15}{55} -\frac{5}{55}[/tex]

               [tex]=\frac{50}{55}[/tex]

               [tex]=\frac{10}{11}[/tex]

soccer player jumps up and heads the ball while it is 7 feet above the
It bounces up at a velocity of 20 feet
ground.
per second. How long will it
take the ball to hit the ground?

Answers

The total time it takes the soccer ball to hit the ground, which bounces up at a velocity of 20 feet per second, is 1.535 seconds.

What is vertical motion model?

Vertical motion model is the model which is used to find the height of the object which is thrown vertically upward. It can be given as,

[tex]h(t)=-16t^2+v+t[/tex]

Here, t is time and v is velocity.

Soccer player jumps up and heads the ball while it is 7 feet above It bounces up at a velocity of 20 feet ground. per second.  Thus, the vertical motion model for this situation is,

[tex]h(t)=-16t^2+20t+7[/tex]

When the ball hit the ground, the value of height (h) become zero. Thus,

[tex]0=-16t^2+20t+7\\16t^2-20t-7=0[/tex]

On solving this quadratic, the value of x we get,

[tex]x=1.535,x=-0.285[/tex]

Taking positive side x=1.535 second. Thus, the total time it take the soccer ball to hit the ground which bounces up at a velocity of 20 feet per second, is 1.535 seconds.

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What is the measure of angle B in the triangle?

This triangle is not drawn to scale.

Enter your answer in the box.

m∠B=
°

Answers

Answer:

Step-by-step explanation:

(2x-30) + 40 + (x+20)=180

=3x+30=180

=3x=150

=x=50

B=70

Which fraction is closest to 1 1/2?

Answers

Answer:

4/2

Step-by-step explanation:

Find number closest to 1.5

[tex]\frac{4}{2} = 2\\1/2=0.5\\6/2 = 3\\\\2/4 = 0.5[/tex]

4/2 is closest to 1.5

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Omar baked 9 pizzas that weigh 20 1/4 lbs total. How much does each pizza weigh?

Answers

Answer:

2.25 or 2 1/4

Step-by-step explanation:

20 1/4 divided by 9 is 2 1/4 :)

Answer:

2.25 lbs each

Step-by-step explanation:

you do 20.25 divided by 9 which gives you an answer of 2.25 lbs or 2 1/4 lbs.

hope this helped

Solve for the area of the complex figure below. Show your work and explain the steps you used to solve.
Round your answer to the nearest whole number.

Answers

There is a square and a half circle.

To find the radius of the circle: 18in - 12in = 6in
Area of a circle = (pi)r^2 = 3.14 (6in)^2 = 3.14 (36in^2) = 113.04in^2
This is an half circle, so we have to divide by 2 the result
56.52in^2 in what we’re looking for.

Area of the square = (12in)^2 = 144in^2

Total area = (144 + 56.52)in^2 = 200.52in^2
Or 201in^2 to the nearest whole number.

A researcher conducted a medical study to investigate whether taking a low-dose aspirin reduces the chance of developing colon cancer. As part of the study, 1,000 adult volunteers were randomly assigned to one of the two groups. Half of the volunteers were assigned to the experimental group that took a low-dose aspirin each day, and the other half were assigned to the control group that took a placebo each day. At the end of six years, 15 of the people who took the low-dose aspirin had developed colon cancer and 26 of the people who took the placebo had developed colon cancer. Use a 0. 05 significance level to test the claim that taking a low-dose aspirin each day would reduce the chance of developing colon cancer among all people similar to the volunteers

Answers

Using the z-distribution, it is found that there is enough evidence to conclude that taking a low-dose aspirin each day reduces the chance of developing cancer.

What are the hypotheses tested?

At the null hypotheses, it is tested if there is no difference among the proportions, that is:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypotheses, it is tested if the aspirir proportion is lower, that is:

[tex]H_0: p_1 - p_2 < 0[/tex]

What is the mean and the standard error of the distribution of differences?

For each sample, they are given by:

[tex]p_1 = \frac{15}{500} = 0.03, s_1 = \sqrt{\frac{0.03(0.97)}{500}} = 0.0076[/tex]

[tex]p_2 = \frac{26}{500} = 0.052, s_2 = \sqrt{\frac{0.052(0.948)}{500}} = 0.0099[/tex]

Hence, for the distribution of differences, they are given by:

[tex]\overline{p} = p_1 - p_2 = 0.03 - 0.052 = -0.022[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0076^2 + 0.0099^2} = 0.0125[/tex]

What is the test statistic?

It is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which p = 0 is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{-0.022 - 0}{0.0125}[/tex]

z = -1.76.

What is the conclusion?

Considering a left-tailed test, as we are testing if the proportion is less than a value, the critical value is [tex]z^{\ast} = -1.645[/tex]

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that taking a low-dose aspirin each day reduces the chance of developing cancer.

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Solve for x
x= ?
3x-4 3x-8

Answers

Answer:

x = 32

Step-by-step explanation:

=> (3x-4) + (3x-8) = 180° (Linear pair)

=> 6x - 12 = 180

=> 6x = 192

=> x = 192/6

Therefore x = 32

the cone and sphere have equal volumes. what is the radius of the sphere? show your work

Answers

Answer:

sphere have a same diameter of cone so

the sphere have a diameter of 40 then the diameter is 40÷2=20

that's mean than the radios is 20

What are the coordinates of point Q’?
Q’( –3, 5)
Q’(3, –5)
Q’(5, –3)
Q’(–5, –3)

Answers

Answer:

Q’(–5, –3)

Step-by-step explanation:

This is because the pints of q are this.

What is the common ratio of the geometric sequence below?
-96, 48, -24, 12, -6, ...



•-2
•-1/2
•1/2
•2

Answers

The answer to the question is -1/2 :)

Determine which pair of quantities best describes the approximate maximum altitude of the egg and the estimated time at which the egg reached the maximum altitude.

23.65 feet at 3 seconds
23.45 feet at 3 seconds
23.78 feet at 3.7 seconds

Answers

The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Let us assume the height of the egg (h) at time t is given by:

h(t) = -16t² + 96t - 120.35

The maximum height is at h' = 0, hence:

h' = -32t + 96 = 0

-32t + 96 = 0

t = 3 sec

h(3) = -16(3)² + 96(3) - 120.35 = 23.65

The maximum height of the egg with an equation of h(t) = -16t² + 96t - 120.35 is 23.65 feet at 3 seconds

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