how to simplify (4x^2)^3 divided by 2x^7?

So, for the area of a circle, there should be a line in the middle. Correct?

Well, that line is the diameter. Then cut that in half, so if the diameter is 6, the radius is 3.

Then multiply the the radius by the radius, so 3x3 once you get that, multiply the answer by pi. Pi= 3.14, so if you do 3x3x3.14 you should get 28.26. Hope this helps.

Answer:

(d) 18 in.

Step-by-step explanation:

When we're given the three sides of a triangle, one formula we can use for perimeter of a triangle is:

P = s1 + s2 + s3, where

P = 2 + 6 + 10

P = 8 + 10

P = 18

Thus, the perimeter of the triangle is 18 in.

Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)

sub x = 3y - 5 into equation 2

2(3y - 5) + 12y = -4

6y - 10 + 12y + 4 = 0

18y - 6 = 0

18y = 6

y = 6/18

y = 1/3

sub y = 1/3 into equation 1

x = 3(1/3) - 5

x = 1 - 5

x = -4

Answer:

\(x^{\frac{1}{2} } + 48\)

Step-by-step explanation:

This is hard to explain, but basically you use exponent rules to switch it to an exponent

\((\sqrt[4]{x^{2} +4} )^{3}\)

It's easiest if you calculate \(4^{3}\) first

4³ = 4 x 4 x 4 = 48

Then convert the root to a fraction exponent

\(\sqrt[4]{x^{2}} = x^{\frac{2}{4}} = x^{\frac{1}{2} }\)

Combine them using addition, since addition was in the problem

\(x^{\frac{1}{2} } + 48\)

I hope this helps!

Using a system of equations, it is found that the third graph shows a pair of lines that represent the equations with a solution (−5, 2).

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The solution of the system on a graph is the intersection of two lines. The third graph has an intersection at (-5,2), hence it is the answer to this question.

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The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

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Answer:

\(\dfrac{1}{b^{-n}}=b^n\)

Step-by-step explanation:

One of the property of exponents is :

\(\dfrac{1}{x^a}=x^{-a}\\\\\text{or}\\\\\dfrac{1}{x^{-a}}=x^{a}\)

In this problem, x = b and a = n

So,

\(\dfrac{1}{b^{-n}}=b^n\)

Hence, the correct option is (b).

Answer15 y-int. (sety=0) 5%-15 (set x=0) x=3. 13,0).

Step-by-step explanation:

Answer:

7.1 in²  

Step-by-step explanation:

If you mentally rearrange the figure it's

a circle with a radius of 1

and a square with side of 2

Area of circle

a = 3.14r²

a = 3.14 * 1²

a = 3.14

Ares of square

a = s²

a = 2²

a = 4

Combined ares

a = 3.14 + 4

a = 7.14

Rounded

7.1 in²

Answer:

10/24 and 21/24

Step-by-step explanation:

So the least number that both 12 and 8 will divide into is 24

so 5x2/24 and 7x3/24 so the fractions are 10/24 and 21/24

Answer:

10/24 and 21/24

Step-by-step explanation:

answers for plato test

Answer: B= 2,4

C=8,1

Step-by-step explanation:

Answer:

I believe its 5 units!

Step-by-step explanation:

Answer:

Quan runs a maximum of 5.3 miles and a minimum of 4.7 miles every day.

Step-by-step explanation:

Let x= the actual measurement.

|actual − ideal|≤ tolerance

Use an absolute value inequality to express this situation.

|x−5|≤0.3

Rewrite as a compound inequality.

−0.3≤x−5≤0.3

Solve the inequality.

4.7≤x≤5.3

Answer the question. Quan runs a maximum of 5.3 miles and a minimum of 4.7 miles every day.

Answer:

! not sure if correct !

Step-by-step explanation:

54% of anna's workout was lifting weight

Answer:

45%

Step-by-step explanation:

21+45=66=1 hour 6 mins

2 hours=120 min

120-66=54

(54/120)x100=45 45%

Answer:

$10

Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

5280 yards does not equal one mile

Answer

B.5,280

Step-by-step explanation:

Im just smart like that

Answer:

It can be used as a preference

Answer:

You use point-slope form when you know (or can determine) the slope and the coordinates of one point on the line.

Step-by-step explanation:

You use point-slope form when you know (or can determine) the slope and the coordinates of a point. So, either you are given the slope of the line and a point on the line, or you are given two points on the line and you use the points to determine the slope.

9514 1404 393

Answer:

  f(g(x)) = -3x^2 -2x -3

Step-by-step explanation:

Given:

  f(x) = -x-7

  g(x) = 3x^2 +2x -4

Find:

  f(g(x))

Solution:

Substitute per the function definitions.

  f(g(x)) = f(3x^2 +2x -4) = -(3x^2 +2x -4) -7

  f(g(x)) = -3x^2 -2x -3

Answer:

30 inches long

Step-by-step explanation:

width=5

length=6x5

6x5=30

length=30

Answer:

B and C because all of them are equal

The angle A for the given triangle will be 65°.

What is a triangle's definition?

In geometry, triangles have three sides and three vertices. This two-dimensional figure has three straight sides. A triangle is a three-sided polygon. The total of three triangle angles equals 180°. The triangle is enclosed by only one plane. Triangles are classified into three different categories based on their sides.

Scalene Triangle - The length of each side varies.

Isosceles Triangle - A triangle having two equal-length sides and one that is not.

Equilateral Triangle - A triangle with three sides of equal length.

Now,

let the right angle is at B

then AC=hypotenuse and AB=Base

then cos A=B/H=8/19

cosA=0.4210

∠A=65°

hence,

          The angle A for the given triangle will be 65°.

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Answer: the awnser is 7

Step-by-step explanation: when numbers are in | ? | and they are negative they just turn positive

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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The rate of change of the crop's seed production is given by differential of

the function of the number of seeds produced.

Reasons:

\(\displaystyle \mathrm{The \ number \ of \ seeds \ per \ plant, \ S(t)}= \mathbf{\frac{t^2}{4}}\)

\(\displaystyle \mathrm{Plants \ that \ mature \ to \ age \ t, \ P(t)}= \mathbf{40.56- \frac{t^2}{4} + \frac{1,801.75}{t^2} +\frac{188.8}{t}}\)

The number of seeds produced by all the plants, n = S(t) × P(t)

Which gives;

\(\displaystyle \mathrm{\ P(t) \times S(t)}= \left(40.56- \frac{t^2}{4} + \frac{1,801.75}{t^2} +\frac{188.8}{t}\right) \times \frac{t^2}{4}\)

\(\displaystyle \mathrm{ \left(40.56- \frac{t^2}{4} + \frac{1801.75}{t^2} +\frac{188.8}{t}\right) \cdot\frac{t^2}{4}} = \mathbf{-0.0625\cdot t^4+10.14\cdot t^2 + 47.2 \cdot t + 450.4375}\)

The maximum rate of change is the highest value of the rate of change function.

To find the maximum rate of change of the crops production, the above

function for the number of seeds is differentiated twice. The first

differentiation is to find the rate of change function, and the second

differentiation is to determine the value of t at the maximum rate of change

as follows;

The rate of change of the crop's seed production is given by following function;

\(\displaystyle \frac{d}{dt} \left( -0.0625\cdot t^4+10.14\cdot t^2 + 47.2 \cdot t + 450.4375 \right) = -0.25\cdot t^3+ 20.28 \cdot t - 47.2\)

Rate of change function, n'(t) = -0.25·t³ + 20.28·t + 47.2

At the maximum value of the above rate of change function, we have

\(\displaystyle \frac{d}{dt} \left( -0.25\cdot t^3+ 20.28 \cdot t - 47.2 \right) = \mathbf{-0.75 \cdot t^2 + 20.28} = 0\)

Which gives

\(\displaystyle t^2 = \frac{20.28}{0.75} = \mathbf{27.04}\)

t = √27.04 = 5.2

At the maximum rate of change, the number of weeks, t = 5.2

Plugging in the value of  t = 5.2 into the rate of change function gives;

n'(5.2) = -0.25·5.2³ + 20.28·5.2 + 47.2 = 117.504

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Answer:

1

Step-by-step explanation:

There are 2 categories male and female and 1 attribute those who text during driving so the number of cells is 2*1= 2

And degrees of freedom is found by subtracting 1 from k= k-1= 2-1= 1 where k is the number of the categories

The degrees of freedom for this chi square test of proportions is 1

The critical value for ∝= 0.05 is .χ²≥ χ²(0.05,1)= 3.84

The critical value for ∝= 0.01 is .χ²≥ χ²(0.05,1)= 2.71

Answer:

8, 16, ×2

Step-by-step explanation:

Answer:

The radius of the circle is 24.5 units

Step-by-step explanation:

The formula for the circumference of a circle is \(C=2\pi r\)

Where \(C\) is the circumference and \(r\) is the radius.

Lets solve for \(r\).

Divide both sides of the equation by \(2\pi\).

\(\dfrac{C}{2\pi}=r\)

Now we have an equation to evaluate the radius.

Numerical Evaluation

In this example we are given

\(C=153.86153\\\pi =3.14\)

Substituting our values into our equation for the radius yields

\(r=\dfrac{153.86153}{2*3.14}\)

\(r=\dfrac{153.86153}{6.28}\)

\(r=\dfrac{153.86153}{6.28}\)

\(r=24.5\)

Answer:

Step-by-step explanation:

Given the values of the actual content of protein powder recorded as shown:

1530​, 1532​, 1495​, 1508​, 1528​, and 1511

a) We are to find the mean and median of the contents.

Mean is the average sum of the numbers. It is expressed mathematically as xbar = ΣXi/N

Xi are individual values

N is the total number of values present.

N = 6

xbar = (1,530​+1,532​+1,495​ +1,508​+1,528+1,511)/6

xbar = 9104/6

xbar = 1517.33

Median of the data is the value at the middle after rearrangement. On rearranging from lowest to highest:

1,495, 1508, 1511, 1528, 1530, 1532

The two values at the centre are 1511 and 1528.

Median = 1511+1528/2

Median = 1519.5

b) If the third value was incorrectly measured and is actually 1515, then our new data will become.

1530​, 1532​, 1515​, 1508​, 1528​, and 1511

xbar = (1,530​+1,532​+1,515​ +1,508​+1,528+1,511)/6

xbar = 9124/6

xbar = 1520.67

For median:

We arrange first

1508, 1511, 1515, 1528, 1530, 1532

The two values at the centre are 1515 and 1528.

Median = 1515+1528/2

Median = 1521.5

c) To know the measure of central tendency that was most affected, we will look at the difference in the values gotten for both mean and median.

∆Mean = 1520.67-1517.33

∆Mean = 3.34

∆Median = 1521.5 - 1519.5

∆Median = 2.0

It can be seen that the measure of central tendency with greater deviation is the mean. Therefore, the mean is more affected by the data entry error.