The circumference of the earth is 2.4x109 miles. if you traveled at an average of 8.5x10 miles per hour, how long would it take for you to go around the earth? round your answer to the nearest whole number.
a. 2,820 hours
c. 354 hours
b. 282 hours
d. 3,500 hours

Answer: 10

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so [tex]17=y+7 \longrightarrow y=10[/tex]

Answer:

Step-by-step explanation:

use the point slope formula  

y - y1 = m(x -x1)

where "m" is an undefined slope

and plug in the given point   (4,7)  it's form is  (x1,y1)

y-7 = m(x - 4)

y = m(x - 4 )  + 7

Answer:

whats the question

Step-by-step explanation:

The Volume of the given solid using polar coordinate is:[tex]\frac{-1}{6} \int\limits^{2\pi}_ {0} [(60) ^{3/2} \; -(64) ^{3/2} ] d\theta[/tex]

V= [tex]\frac{-1}{6} \int\limits^{2\pi}_ {0} [(60) ^{3/2} \; -(64) ^{3/2} ] d\theta[/tex]

To find the volume in polar coordinates bounded above by a surface z=f(r,θ) over a region on the xy-plane, use a double integral in polar coordinates.

Consider the cylinder,[tex]x^{2}+y^{2} =1[/tex] and the ellipsoid, [tex]4x^{2}+ 4y^{2} + z^{2} =64[/tex]

In polar coordinates, we know that

[tex]x^{2}+y^{2} =r^{2}[/tex]

So, the ellipsoid gives

[tex]4{(x^{2}+ y^{2)} + z^{2} =64[/tex]

4([tex]r^{2}[/tex]) + [tex]z^{2}[/tex] = 64

[tex]z^{2}[/tex] = 64- 4([tex]r^{2}[/tex])

z=± [tex]\sqrt{64-4r^{2} }[/tex]

So, the volume of the solid is given by:

V= [tex]\int\limits^{2\pi}_ 0 \int\limits^1_0{} \, [\sqrt{64-4r^{2} }- (-\sqrt{64-4r^{2} })] r dr d\theta[/tex]

= [tex]2\int\limits^{2\pi}_ 0 \int\limits^1_0 \, r\sqrt{64-4r^{2} } r dr d\theta[/tex]

To solve the integral take, [tex]64-4r^{2}[/tex] = t

dt= -8rdr

rdr = [tex]\frac{-1}{8} dt[/tex]

So, the integral  [tex]\int\ r\sqrt{64-4r^{2} } rdr[/tex] become

=[tex]\int\ \sqrt{t } \frac{-1}{8} dt[/tex]

= [tex]\frac{-1}{12} t^{3/2}[/tex]

=[tex]\frac{-1}{12} (64-4r^{2}) ^{3/2}[/tex]

so on applying the limit, the volume becomes

V= [tex]2\int\limits^{2\pi}_ {0} \int\limits^1_0{} \, \frac{-1}{12} (64-4r^{2}) ^{3/2} d\theta[/tex]

=[tex]\frac{-1}{6} \int\limits^{2\pi}_ {0} [(64-4(1)^{2}) ^{3/2} \; -(64-4(2)^{0}) ^{3/2} ] d\theta[/tex]

V = [tex]\frac{-1}{6} \int\limits^{2\pi}_ {0} [(60) ^{3/2} \; -(64) ^{3/2} ] d\theta[/tex]

Since, further the integral isn't having any term of [tex]\theta[/tex].

we will end here.

The Volume of the given solid using polar coordinate is:[tex]\frac{-1}{6} \int\limits^{2\pi}_ {0} [(60) ^{3/2} \; -(64) ^{3/2} ] d\theta[/tex]

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BEST ANSWER :

(( -3/2 ) 9 ) / 6.

= -0.02777777777

Answer: 17.4

Step-by-step explanation: Area of a Square

Area of a rectangle = s².

s is the side length.

Area of Circle

4 quarter circles equals a full circle.

Area of a full circle = πr².

There are four quarter circles in the diagram given, therefore:

Area of the shaded region = area of square - area of full circle

= 9² - π(4.5²)

= 17.38.

Therefore, the area of the shaded region, to the nearest tenth, is about: 17.4 m².

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Answer:

.82^5 = ? I dont think it helps

Step-by-step explanation:

Answer:

Sebastian is going to choose design elements that include color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 14 patterns, 12 fonts, and 9 images for him to choose from. (He will choose only one of each.)

How many different sweatshirt designs are possible?

Step-by-step explanation:

It's 4320

Answer:

Discount  = $4.50
Discounted Price = $40.50

Step-by-step explanation:

First you need to find what 10% of $45 is. To do that you need to divide $45 by 10 or just move the decimal point one space to the left. The answer would be $4.50. Then, you need to subtract $4.50 from $45 as we are calculating the discounted price. The answer would be $40.50.

Equation:
$45 ÷ 10 = $4.50 (discount)
$45 - $4.50 = $40.50 (discounted price)

Answer:

2/935

Step-by-step explanation:

I have attached an image of the equation to use. Assuming that this is without replacement, we'll be taking out one piece out of the bag every time that one is chosen.

Therefore, for probability, the fraction is part/whole. We first have 9 red to 36 pieces in total, but if we take one out, we'll get 8 red left in the bag, and 35 pieces in total. This continues until we fulfill the prophecy (I don't know. qualifications?) that 4 of the pieces are red.

You can try this for yourself, but once simplified, it should be 3024/1413720, which simplifies to 2/935.

Please let me know if you need more clarification or have issues! probability can be confusing :)

Answer:

2/935

Step-by-step explanation:

dito^

The good has an income elasticity of demand of -2. 0. This means that the good is inferior goods.

An inferior good occurs when an increase in income causes a fall in demand.

An inferior good has a negative income elasticity of demand. (YED) Inferior goods are characterized by low quality – and are goods with better alternatives.

Suppose that good has an income elasticity of demand of -2. 0. This means that the good is inferior goods.

An inferior good is one whose demand drops when people's incomes rise. When incomes are low or the economy contracts, inferior goods become a more affordable substitute for more expensive goods.

Inferior goods are the opposite of normal goods, whose demand increases even when incomes increase.

Hence, the good has an income elasticity of demand of -2. 0. This means that the good is inferior goods.

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Area

Reason:

Complementary events have their probabilities add to 1.

P(A)+P(B) = 1

P(B) = 1 - P(A)

For example,

P(A) = the chance it rains = 30% = 0.30

P(B) = the chance it doesn't rain

P(B) = 1 - P(A) = 1 - 0.30 = 0.70 = 70%

The equation that relates the probability of A and B is P(B) = 1 - P(A).

A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

As per the given data:

We are given two events, event A and event B.

We are also given the relationship between the two events.

It's given that A and B are complements of each other.

Let's assume that the probability of the event B is P(B).

The sample space for this situation when only 2 events are there will be

(A, B)

We are given that A and B are complements of each other.

This means that the complement of A is equal to the probability of event B.

P(A') = 1 - P(A)

P(B) = P(A')

∴ P(B) = 1 - P(A)

The equation that relates the probability of A and B is P(B) = 1 - P(A).

Hence, The equation that relates the probability of A and B is P(B) = 1 - P(A).

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Answer

[tex]x=\frac{11}{3}[/tex]

Explanation

Based on the given conditions, formulate:: [tex]y=3[/tex]

Substitute [tex]y=3[/tex] into [tex]y=-6x+25[/tex] :: [tex]3=-6x+25[/tex]

Rearrange variables to the left side of the equation: [tex]6x=25-3[/tex]

Calculate the sum or difference: [tex]6x=22[/tex]

Divide both sides of the equation by the coefficient of variable: [tex]x=\frac{22}{6}[/tex]

Cross out the common factor: [tex]x=\frac{11}{3}[/tex]

The appropriate next step according to materials covered in this course is to examine post hoc pairwise comparisons.

Pairwise Comparisons is known to be a kind or type of post-hoc analysis, where a person can compare the mean differences to that of a critical value.

Note that a post hoc tests tell a person, the key differences that exist  between three or more set of means when an analysis of variance (ANOVA) F test is said to be significant just as in the case above.

See options below

Examine post hoc pairwise comparisons

Examine Levene’s test of equality of variance

Examine the results for each DV with 6 ANCOVAs

Examine the results for each DV with 6 ANOVAs

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====================================

[tex]\large \sf \underline{Problem:}[/tex]

Is the following linear or nonlinear?

m = n 2 - 7n - 54

a) linear

b) nonlinear

====================================

[tex]

\large \sf \underline{Answer:}[/tex]

A. Linear

====================================

[tex]\large \sf \underline{Explanation:}[/tex]

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).

====================================

Answer:

no

Step-by-step explanation:

k=1(constant)

y varies inversely with x

Answer: [tex]4b+14[/tex]  

[tex]2*(2b+7)[/tex]

Step-by-step explanation:

[tex](8-b)+(5b+6):8-b+5b+6[/tex]

[tex]-b+5b+8+6[/tex]

[tex]-b+5b+14[/tex]

[tex]=4b+14[/tex]

Answer:

95

Step-by-step explanation:

65+66+90+95=316

316/4=79

Answer:

b = - a

Step-by-step explanation:

given b varies directly with a then the equation relating them is

b = ka ← k is the constant of variation

to find k use the condition b = 2 when a = - 2 , then

2 = - 2k ( divide both sides by - 2 )

- 1 = k

then

b = - a ← equation of variation

Answer:

20

Step-by-step explanation:

pythagorean theorum

a^2+b^2=c^2

4^2+3^2=c^2

16+9=25

[tex]\sqrt{25}[/tex]=5

5*4=20

Answer:

20%

Step-by-step explanation:

sry if wrong byeeeeee

The amount of interest she will earn in one year will be 5 dollars and 12 cents.

The normal interest levied on the amount borrowed from any bank on a yearly basis is called the simple interest.

Given that:-

The simple interest amount will be:-

SI   =   (  P   x   R   x   T  )  / 100

SI  =    (  160   x   x   3.2   x   1  )  /   100

SI   =    $5.12

Therefore the amount of interest she will earn in one year will be 5 dollars and 12 cents.

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Answer:

Lake A

Step-by-step explanation:

FIrst off I am not sure how this connects with the lake but based on what I have seen and learned so far I would say that the Answer to #3 on the last question is Lake A and for the second part based on the data set I am unsure of how to do that but at least u got the answer to #3? sorry if this is no help.

Answer:

Total is 24

HALF THE TOTAL- 12

Impossible event- Picking a black marble

Certainty- Picking either one of a green, red, or blue marble

As likely as not event would be picking a blue marble(probability of that is 12/24= 1/2)

More likely than not event would be picking either a red or blue marble whose probability in total is 18/24= 3/4.

Unlikely event- You not picking anything at all

Step-by-step explanation:

Hi. Took me some time to attempt all problems, but the key to solving these problems is to ahve a firm foundation of basic probability. Things like likeliness and unlikelieness are all outskirts of probability, so I would reccomend getting yourself familiar with those basics. You GOT THIS!

Answer:

P = 20

Step-by-step explanation:

Mean

Answer:

1 gal =231 cu/in

r^2pi*ht=area

36pi*7=    791.68cu/in

231*3.25=750cu/in

              41.68/(r^2pi)

            =41.65/113.1=.368"

Step-by-step explanation:

Note that 1 gallon = 231 cubic inches.

Volume of liquid = 231 cubic inches = PI*R^2*H  (equation for volume of a cylinder)

We have a radius (half diameter), so we can figure out the height of the liquid.  

To figure how far below the top the liquid is, we subtract the height of the liquid from the height of the punch bowl (7 inches).

The statement first, statement third, and the statement fifth are correct because the mean absolute deviation are the same.

It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance known as the MAD.

We have data:

Yard Works: 7, 9, 7, 12, 5

Grow Station: 9, 11, 6, 12, 7

The mean for yard works = 40/5 = 8

The mean for grow station = 45/5 = 9

The mean absolute deviation for yard work = 2

The mean absolute deviation for grow station = 2

The correct statements are:

Thus, the statement first, statement third, and the statement fifth are correct because the mean absolute deviation are the same.

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Answer: A, C, E.

Step-by-step explanation: I got it right on the test