6*10^-2 is how many times as large as 2*10^-8?

Choose 1 answer:

A
3*10^-10
B
3*10^-6
C
3*10^6
D
3*10^10

Answer: true

Step-by-step explanation: The answer is true. As a linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180 degrees.

Answer:

true

Step-by-step explanation:

data are individual pieces of factual information recorded and used for the purpose of analysis

Median and IQR

The most common measures of variability are the range, the interquartile range (IQR), variance, and standard deviation.

Answer:

-1 ≤ x < 3

Hope this helps ;)

Check the picture below.

so hmmm for the sake of completion, let's check where they intersect

[tex]cos^2(x)sin(x)=sin(x)\implies cos^2(x)sin(x)-sin(x)=0 \\\\\\ sin(x)[cos^2(x)-1]=0\implies \begin{cases} sin(x)=0\\ cos^2(x)-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ sin(x)=0\implies x=sin^{-1}(0)\implies \boxed{x=0} \\\\[-0.35em] ~\dotfill\\\\ cos^2(x)-1=0\implies cos^2(x)=1\implies cos(x)=\sqrt{1} \\\\\\ cos(x)=1\implies x=cos^{-1}(1)\implies \boxed{x=\pi}[/tex]

now, notice, in the picture the function that is "above" or the "ceiling" function is the sin(x), so we'll get the area under the curve by using "above" - "below" functions.

[tex]\stackrel{above}{sin(x)}~~ - ~~\stackrel{below}{cos^2(x)sin(x)} \implies sin(x)-[1-sin^2(x)]sin(x) \\\\\\ sin(x)-[sin(x)-sin^3(x)]\implies ~~\begin{matrix} sin(x)-sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ +sin^3(x)\implies sin^3(x)[/tex]

now let's use the triple angle identity of sine

[tex]\stackrel{\textit{triple angle identity}}{sin(3x)=3sin(x)-4sin^3(x)}\implies 4sin^3(x)=3sin(x)-sin(3x) \\\\\\ sin^3(x)=\cfrac{3sin(x)-sin(3x)}{4}\implies sin^3(x)=\cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int\limits_{0}^{\pi }~sin^3(x)dx\implies \int\limits_{0}^{\pi }~\left[ \cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \right]dx[/tex]

[tex]\displaystyle \cfrac{3}{4}\int\limits_{0}^{\pi }sin(x)dx-\cfrac{1}{4}\int\limits_{0}^{\pi }sin(3x)dx\implies \left. \cfrac{3}{4} \cdot -cos(x) \right]_{0}^{\pi }-\left. \cfrac{1}{4} \cdot \cfrac{-cos(3x)}{3} \right]_{0}^{\pi } \\\\\\ \cfrac{3}{2}~~ - ~~\cfrac{1}{6}\implies \implies \blacktriangleright \cfrac{4}{3} \blacktriangleleft[/tex]

[tex]\rule{300}{1} \\ \diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

    What is the volume of a sphere with a diameter of 10m, rounded to the

nearest tenth of a cubic metre  (m³)?

[tex]\diamond\large\textsf{\textbf{\underline{Answer and How to solve:-}}}[/tex]

[tex]\it{Volume\:of\:a\:sphere:-}[/tex]

[tex]\longmapsto\sf{V=\dfrac{4}{3} \pi r^3}[/tex]

[tex]\bold{\underline{Where:-}}[/tex]

Provided information:-

What we need in order to find the Volume:-

How to find the radius if we have the diameter?

[tex]\bold{r=d\div2}[/tex]

Replace d with 10:-

[tex]\bold{r=10\div2}[/tex]

Therefore, the radius of the sphere is

[tex]\rule{300}{1}[/tex]

✓ Now we have all the required information in order to find the volume of the sphere.

✳︎Substitute 5 in lieu of r:-

[tex]\bold{V=\dfrac{4}{3} \pi (5)^3}[/tex]

➪On simplification,

[tex]\bold{V=\dfrac{4}{2} \pi (125)}[/tex]                     ◈  Next, write the value of π (3.14…)

[tex]\bold{V=\dfrac{4}{3}\times3.14\times125}[/tex]

On further simplification,

[tex]\bold{V=\dfrac{4}{3} \times392.5}[/tex]                Final Step:- Multiply the numbers.

[tex]\bold{V=523.3\:m^3}[/tex]

The answer has been rounded to the nearest tenth (one place after the decimal point)

Therefore, we conclude that the volume of the sphere is

[tex]\bold{V=523.3\:m^3}[/tex]

[tex]\rule{301}{1}[/tex]

Step-by-step explanation:

144 degree is right answer.

Answer:

144°

Step-by-step explanation:

The central angle is 360°. Since it has 5 divisions, the angle of each division is 72°.

From B to D, it requires 2 rotations.

If the probability will be 0.7842. Then the number of students who scored between 200 and 245 will be 941.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The scores of a recent test taken by 1200 students had an approximately normal distribution with a mean of 225 and a standard deviation of 18.

Then the number of students who scored between 200 and 245 will be

Then the z-score for x = 200

[tex]z = \dfrac{200-225}{18}\\\\z = -1.389[/tex]

Then the z-score for x = 245

[tex]z = \dfrac{245-225}{18}\\\\z = 1.1111[/tex]

Then we have

[tex]\begin{aligned} P(-1.39 < z < 1.11) &= P(z < 1.11) - P(z < -1.389)\\\\&= P(z < 1.11)- [1-P(z > -1.389)] \\\\&=0.8665 - (1-0.9177) \\\\&=0.7842 \end[/tex]

Then the number of students who scored between 200 and 245 will be

→ 0.7842 × 1200

→ 941.04 ≅ 941

More about the normal distribution link is given below.

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Answer:

3.25\

Step-by-step explanation:

Answer:

$2.52

Step-by-step explanation:

u have to at the lb. and the $ and which will give u more for a less price so we x out $5.53 and then 5.13.now all you have left is 2.52 and 3.37 and 3.37 is more than 2.52 and 2 lb. is more ik but u save more money by buying 1.5 lb.

hope this helps:)!!

Answer:

Statistics are incredibly important in real life. For example, we use statistics for weather forecasting.  Probability (which is a form of statistics) is used by weather forecasters to figure out how likely it is that there will be rain, snow, sun, etc. on a given day in a certain area.

Step-by-step explanation:

'*•.¸♡ hope i helped, have a great day ♡¸.•*'

Answer:

5.1  6.2

Step-by-step explanation:

5.y2-y1/x2-x1
  7-4/6-1=1
6.y2-y1/x2-x1
  -4+6/-1+2=2

Based on the amount that Rosetta sells her house and the mortgage she had before she did, the amount she will recieve is $50,000.

Rosetta owes a total of $150,000 for her mortgage payment and was able to sell the house for $200,000.

This means that the amount she will recieve is:

= Selling price - Mortgage

= 200,000 - 150,000

= $50,000

In conclusion, option B is correct.

Find out more on mortgages at https://brainly.com/question/22598793.

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Answer:

B. $50,000

Step-by-step explanation:

The polynomial that describes the area of the stone is: 3x² - 5x

Area of the stone with a base length of 6 in. is: 78 sq. in.

Area of Parallelogram = base length × height

Given the following:

Area of the parallelogram-shaped stone = x(3x - 5) = 3x² - 5x

To find the area of the stone with a base length (x) of 6 inches, substitute x = 6 into 3x² - 5x:

Area = 3(6)² - 5(6) = 78 sq. in.

Learn more about area of parallelogram on:

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Answer:

y=2x-2

Step-by-step explanation:

the slope of the two points can be found using rise over run which would be 4/2 and that equals 2. then you have to pout the y intercept.

Answer:

its 4

Step-by-step explanation:

trust me bro im a geinus

The initial value of the exponential function shown on the graph should be 4.

The exponential function represents a dependency relationship. In this type of mathematical operation there is a variable in the exponent and the real number in the base.

In this case, the exponential function is:

F(X)=Y

Knowing that the given points correspond to X=0 and Y= 4, when placing in the formula of the function, one finds:

F(0)=4

F(4)=0

So, the initial value of the exponential function shown on the graph should be 4.

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A function, c(x), that models the water used by the car wash on a shorter day is C(x) = 4x³ + 7x² − 14x - 6

Given:

The amount of water used in normal days:

The amount of decrease in water used is modeled by the equation;

To find the function C(x), we would have to subtract eq(ii) from eq(i)

5x³ +9x²-14x +9

-  x³+2x² +15

= C(x) 4x³+7x²-14x-6

Read more about polynomials here:

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The step that requires revision is step 1: set the compass width to the diameter of the circle

When a regular hexagon is to be inscribed in a circle, the first step is to place the compass on the circumference of the circle and create an arc.

On no occasion should the width of the compass equal the diameter of the circle.

The step 1 in the question shows that the compass width is set to the diameter of the circle.

This is wrong, and it needs to be revised.

Hence, the step that requires revision is step 1 and the correction is (a) In step 1, the compass width should be set to the length of BC.

Read more about construction at:

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Answer:

y = x-3

step by step explanation:

The equation of a linear function has no exponents higher than 1

Answer:

Quick answer, C. 7 units!

Answer:

$30

Step-by-step explanation:

First we will find how much money Davion paid with.

4 * $20 = $80

Now we can find how much the stuffed animal cost using the controller cost and change received.

Let x be the cost of the stuffed animal

80 = 32 + 18 + x

80 = 50 + x | subtract 50 from both sides

30 = x

This means the stuffed animal cost $30.

That is your answer

- Kan Academy Advance

Answer:

The answer is  on the quantity they produce per hour.

Step-by-step explanation:

If they produce more, they will be paid more, based on the rate per finished item

Work Shown:

d = 3 = diameter

r = d/2 = 3/2 = 1.5 = radius

h = 12 = height or length of the pipe

pi = 3.14 approximately

V = volume of the cylinder pipe

V = pi*r^2*h

V = 3.14*(1.5)^2*12

V = 84.78

V = 85

The cylindrical pipe's volume is about 85 cubic feet.

Answer:

  D.  96 m²

Step-by-step explanation:

The surface area of a triangular prism is the sum of the areas of all of the faces. A triangular prism has two triangular faces (bases) and three rectangular faces.

__

The dimensions of the rectangular faces are such that they can be considered together as a rectangle whose width is the distance between the triangular faces, and whose length is the perimeter of the triangle. For this prism, that is a 7 m width and a (3+4+5) = 12 m length.

The two triangular faces together have an area that is equal to that of a rectangle with the same base and height as the triangular face. For this prism, that is a 3 m base and a 4 m height.

The total surface area is ...

  lateral area + base area = (7 m)(12 m) +(3 m)(4 m) = (84 +12) m²

  surface area = 96 m²

_____

Additional comment

The formula for the area of a triangle is ...

  A = 1/2bh

A triangular prism has two congruent triangular faces, so their total area is ...

  A = 2(1/2bh) = bh

We elected to skip the halving and doubling, and go straight to the total base area.

Answer:

2.80

Step-by-step explanation:

20.44 / 7.3 = 2.8

Brainliest please