A planet has a circumference of approximately 39,750 km. with this circumference, what is it's radius?

the radius of the planet is_____ (round to the nearest integer as needed)

use the measurement above to determine the length of an arc from the North Pole of the planet to the Equator. ​

Answer: B. When finding the midpoint between two points on a vertical line, keep the x-coordinate and find the average of the y-coordinates

\( \frac{{3}^{2} \times {5}^{5} \times {3}^{3} \times {5}^{3} }{ {3}^{4} \times {3}^{4} } \\ = \frac{ {3}^{5} \times {5}^{8} }{ {3}^{8} } \\ = \frac{ {5}^{8} }{ {3}^{3} } \\ = \frac{390625}{27} \\ = 14467.592592......\)

This is the solution.

The time that it will take Antonio to ride from school to the mall if he rides by DJ's house will be 13 minutes.

It should be noted that Antonio can ride from his

house to school in 5 minutes, from school to DJ's

house in 7 minutes, from DJ's house to the mall in

6 minutes, and from the mall to his house in

3 minutes.

Therefore, the time that it will take Antonio to ride from school to the mall if he rides by DJ's house will be:

= School to DJ + DJ to the mall

= 7 minutes + 6 minutes

= 13 minutes

Therefore, the time that it will take Antonio to ride from school to the mall if he rides by DJ's house will be 13 minutes.

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The midpoint is 26.

Midpoint in this scenario = mean

(23+29)/2 = 26

Answer:

-6

Step-by-step explanation:

Answer:

\(\displaystyle \sec(\theta)=\frac{9\sqrt{17}}{17}\)

Step-by-step explanation:

We are given that:

\(\displaystyle \sin(\theta)=\frac{8}{9}\text{ and } \tan(\theta)>0\)

And we want to find sec(θ).

First, note that both sine and tangent are positive. The only quadrant in which this can occur is QI. Hence, all trig ratios will be positive.

Also, recall that sine is the ratio of the opposite side to the hypotenuse. Using this information and the Pythagorean Theorem, we can determine the adjacent side:

\(a=\sqrt{9^2-8^2}=\sqrt{17}\)

So, with respect to θ, the adjacent side is √(17), the opposite side is 8, and the hypotenuse is 9.

Secant is the ratio of the hypotenuse to the adjacent. Hence:

\(\displaystyle \sec(\theta)=\frac{9}{\sqrt{17}}=\frac{9\sqrt{17}}{17}\)

Again, since θ is in QI, all trig ratios are positive.

Answer:

b) The bond Sandy purchased has a face value of $2500 and a coupon rate of 7%. The coupon rate is the interest rate paid on the bond, which is typically paid semiannually. To find how much interest Sandy will receive semiannually, we can use the formula:

Interest = Face value x Coupon rate / 2

Interest = $2500 x 7% / 2 = $87.50

So Sandy will receive $87.50 in interest semiannually from the bond.

c) The fund Sandy invested in is expected to grow by 3.5% per year. To find how long it will take for the fund to be worth $10,000, we can use the formula:

Future value = Present value x (1 + Interest rate)^Years

We can solve for Years by dividing both sides of the equation by the present value and taking the natural logarithm of both sides:

Years = ln(Future value/Present value) / ln(1 + Interest rate)

Years = ln(10000/5000) / ln(1.035)

Years = 7.19

Therefore, the fund will take about 7.19 years to be worth $10,000.

d) Sandy's gross annual income is $51,350. She is paid biweekly, and 5% of her paycheck is deducted for her 403(b). Her employer matches her deduction, up to 4%. To find how much is deposited into Sandy's 403(b) each payday, we can use the following formula:

Contribution = (Gross pay x Contribution rate) + (Employer match x Employee contribution)

Gross pay = $51,350/26 (for bi-weekly paycheck) = $1977.50

Contribution = ($1977.50 x 5%) + ($1977.50 x 5% x 4%) = $98.87

So, $98.87 is deposited into Sandy's 403(b) each payday.

Answer:

hope it helps it is donr by using pythogorous theorem

The third side of the right triangle is 10.72 unit.

Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.

Given, the side of right triangle is;

Let H be hypotenuse = 14

And P be perpendicular = 9

Then to find third side base be B,

we use the Pythagoras theorem;

(H)² = (P)²+(B)²

Rearranging,

(B)² = (H)² - (P)²

(B)² = (14)² - (9)²

(B)² = 196 - 81

(B)² = 115

B = 10.72 unit.

Therefore, the third side is 10.72 unit.

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Answer:

The answer is D cuz two if the corresponding angles are congruent.

The requried, correct statment is shown below,

B) The report accurately states the results because a mean score of 3.2 is greater than the predicted average of 3 on the statement regarding prioritizing free time.

C) The report does not accurately interpret the result of the statement regarding prioritizing free time.

D) The report of the study should state that there is a strong correlation between participation in sports and the ability to prioritize free time rather than make a broad conclusion.

Statement A is not true as it suggests a specific sampling method is necessary for accuracy, which is not necessarily the case. The study can still be accurate if the sample is randomly selected and sufficiently large.

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Step-by-step explanation:

The probability that Becky's proportion of poses held for over a minute is greater than Carla's is 0.741.

This can be determined by using the z-table, which shows the probability that a random variable is in the range that is a certain distance away from the mean.

In this case, we are looking at the probability that a random variable is greater than C, so we use the z-value for 0.741.

There is 24 hours in a day. Therefore, there are 8760 hours in a 365-day calendar year (365 x 24 = 8760).

How many years is 10000 hours?

Take the total number of hours and divide it by the number of hours in a year.

10000/8760 = 1.1415

Therefore, 10000 hours is approximately 1.14 of a year.

Answer:r=2 cos^4(theta)

Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.

First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:

r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.

Next, we can take the derivative of r with respect to theta, using the chain rule:

dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).

Setting this equal to zero and factoring out sin(2theta), we get:

sin(2theta)(-1 - 2cos(2theta)) = 0.

This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.

When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.

When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.

These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).

Answer: W= 8.34A

Step-by-step explanation:

Given: Weight of a gallon of water = 8.34 pounds

Then,  weight of the water in container = (Weight of a gallon of water ) x (amount of water)

If A  = amount of water (in gallons)

W =  weight of the water in container ( in pounds)

i.e. \(W= 8.34A\)

Hence, the required equation : W= 8.34A

Answer:

I think it's 19

Step-by-step explanation:

27-8=19

In order for the data in the table to represent a linear function with a rate of change of –8, the value of 8 will be:

A linear function is one which when plotted produces a line. In the table provided although not indicated, there is an increase in the order of 10, 11, and 12 on the x axis while the y axis progresses in the order of 27, m, and 11.

So if the rate of change is -8, then 27 - 8 will give us 19.

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Answer:

Rotating 180 clockwise would mean that Q is Q if r is r, the coordinates of it pointing to Q would be in your picture , can I see a picture of the problem?

Step-by-step explanation:

Answer:

She will need a time of 1024 units to complete the 10th station.

Step-by-step explanation:

A. As the quotient between consecutive terms is the same, the data is a geometric sequence.

B. The recursive formula is:

C. She will need a time of 1024 units to complete the 10th station.

In a sequence, if the difference between consecutive terms is the same, the sequence is arithmetic.

If the quotient between consecutive terms is the same, the sequence is geometric.

Item a:

When x increases by 1, y is multiplied by 2, hence, as the quotient between consecutive terms is the same, the data is a geometric sequence.

Answer:

x = -1,375

y = -5

Step-by-step explanation:

{-8x + y = 6, / : (-1)

{-8x + 3y = -14;

Multiply the first equation by -1, so that we could eliminate 8x:

+ {8x - y = -6,

{-8x + 3y = -14;

----------------------

4y = - 20 / : 4

y = -5

Now, make x the subject from the first equation (you can do it from the 2nd one instead):

8x = -6 + y / : 8

x = -0,75 + 0,125y

x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375

Answer:

17.5

Step-by-step explanation:

35÷y = 140 ÷ 70

or, 35 = 2y

or, y= 17.5

Answer:

120 and 90

Step-by-step explanation:

let one number be x and the other y

x + y = 210 (sum = 210)

x - y = 30 (difference = 30)

add the two equations together

2x = 240

divide both sides by 2 to isolate x

x = 120

plug into 1st equation

120 + y = 210

subtract 120 from both sides

y = 90

We take the 2 numbers as 'x' and 'x-30' in order to find those numbers

We plug the values into the given equation

\(x + x - 30 = 210\\2x - 30 = 210\\\\2x = 240\\x = \frac{240}{2} \\x = 120\\x - 30 = 120 - 30 = 90\\\)

\(120 - 90 = 30\)

Hence , the two numbers are 120 and 90

ANSWERS:

\(1. False \\ 2. True \\ 3. False \\ 4. True \\ \)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

1. 1,605

2. -605

3. 21,575

Step-by-step explanation:

Answer:

1.1,605

2.-605

3.21,575

Answer:

−  

4

7

​

Step-by-step explanation:

Pasos de la solución

(−4/8)÷2/7

Reduzca la fracción  

8

4

​

 a su mínima expresión extrayendo y anulando 4.

7

2

​

−  

2

1

​

​

Divide −  

2

1

​

 por  

7

2

​

 al multiplicar −  

2

1

​

 por el recíproco de  

7

2

​

.

−  

2

1

​

×(  

2

7

​

)

Multiplica −  

2

1

​

 por  

2

7

​

 (para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).

2×2

−7

​

Realiza las multiplicaciones en la fracción  

2×2

−7

​

.

4

−7

​

La fracción  

4

−7

​

 se puede reescribir como −  

4

7

​

 extrayendo el signo negativo.

−  

4

7

​

Answer:

\(\frac{7}{4}\) or \(3 \frac{3}{4}\)

Step-by-step explanation:

It looks like this is your problem:

\(-\frac{4}{8} / \frac{2}{7}\)

"Keep, change, flip"

\(-\frac{4}{8} * \frac{7}{2}\)

Multiply across & simplify:

\(-\frac{28}{16} = \frac{14}{8}=\frac{7}{4}\)  or \(3 \frac{3}{4}\)

Step-by-step explanation:

x = age of father

y = age of son

x - 7 = 5(y - 7) = 5y - 35

x = 5y - 28

x + 14 = 2(y + 14) = 2y + 28

we use the identity of the first equation in the second equation :

5y - 28 + 14 = 2y + 28

3y = 28 + 28 - 14 = 42

y = 14

x = 5y - 28 = 5×14 - 28 = 70 - 28 = 42

the father is currently 42 years old.

the son is currently 14 years old.

Answer:

y = 2( x+5)^2 -4

Vertex (-5,-4)

directrix  y = -33/8

focus (-5, -31/8)

Step-by-step explanation:

First identify the vertex, which is the minimum

Vertex = (-5,-4)

The vertex form is y = a( x-h)^2 + k

y = a( x- -5)^2 -4

y = a( x+5)^2 -4

We need to determine a

Substitute a point on the graph

(-3,4) is on the graph

4 = a( -3+5)^2 -4

4 = a( 2)^2 -4

4 = 4a -4

Add 4 to each side

8 = 4a

Divide by 4

8/4 = a

a=2

y = 2( x+5)^2 -4

To find the focus and directrix, write in standard form

4p(y-k)=(x-h)^2

y+4 = 2(x+5)^2

1/2 (y+4) = (x+5)^2

4p = 1/2

p = 1/8

The focal length is 1/8

Subtract this from the y coordinate to get the directrix

y = -4 -1/8

y = -32/8 - 1/8 = -33/8

Add this to the y coordinate to get the coordinate for the focus the x coordinate the same

(-5, -4+1/8)

(-5, -32/4+1/8)

(-5, -31/8)

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

B) 6

Step-by-step explanation:

Let the number be x

Product of 6 and square of number plue 15 : (6x²) + 15

Coefficient of x² = 6