Hello people ~
find the area of a circle with radius 13 m .
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The minimum number of calories the group is expected to consume during the entire trip from current location to southpole and back to camp is 375 kilo calories.

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

There are total 5 miles in one block and current location to the South Pole there are 5 blocks on map. Thus, the total distance from current location to the South Pole is,

[tex]x=5\times5\\x=25\rm\; miles[/tex]

There are total 12 blocks from current location to the camp on map. Thus, the total distance from current location to the camp is,

[tex]y=12\times5\\y=60\rm\; miles[/tex]

The shortest distance from South Pole to camp is,

[tex]z=\sqrt{25^2+60^2}\\z=\sqrt{4225}\\z=65\rm\; miles[/tex]

Total distance group travel from if it wants to travel from its current location on the map to the South Pole, and then directly back to base camp, passing through their current location is,

[tex]n=65+60\\n=125\rm\; miles[/tex]

The group travel an average of 10 miles per day. Thus, number of days to cover distance,

[tex]\dfrac{125}{10}=12.5\rm\; days[/tex]

There are total 5 people in group and they consume each person needs 6000 calories per day. Thus, total calories,

[tex]C=12.5\times6000\times5\\C=375000 \rm\;C\\C=375 \rm\; kC[/tex]

Thus, the minimum number of calories the group is expected to consume during the entire trip from current location to southpole and back to camp is 375 kilo calories.

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Answer: B

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

471.3 = 3.142×10×H

H= 471.3÷31.42

H=15

To solve f(g(6)):

 ⇒ we solve for g(6) first

    ⇒ then plug the value of g(6) into the 'x' position of f(x)

Let's Solve:

         [tex]g(6) = \frac{1}{2}[/tex]

    2. Plug g(6)'s value into f(x)

         [tex]f(g(6))=f(\frac{1}{2} )=10(\frac{1}{2} )-4=5-4=1[/tex]

Thus f(g(6))'s value is 1

Answer: 1

Hope that helps!

Answer:

2)  32.2 in (nearest tenth)

Step-by-step explanation:

Pythagoras’ Theorem

[tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting these values into the formula and solving for c:

[tex]\implies \sf 16^2+28^2=c^2[/tex]

[tex]\implies \sf 256+784=c^2[/tex]

[tex]\implies \sf c^2=1040[/tex]

[tex]\implies \sf c=\pm\sqrt{1040}[/tex]

[tex]\implies \sf c=\pm 32.2\:in\:(nearest\:tenth)[/tex]

As distance is positive, c = 32.2 in (nearest tenth)

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\ [/tex]

Here,

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}= (16) {}^{2} + (28 {)}^{2} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=256 + 784 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=1040 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad AC = \sqrt{1040} }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad AC = 32.24 }}} \\ \\[/tex]

Therefore,

Answer:

Step-by-step explanation:

2cm = 2 * 10 mm

2 cm = 20 mm

for every 15 mm of colored fabric, Gavyn uses 20 cm of white fabric.

The ratio is expressed as white fabric to colored fabric.

Answer: Ratio white to colored = 20 / 15 = 4 / 3

Answer:

9

Step-by-step explanation:

[tex] \frac{6 + 2x}{4} = 6 \\ 6 + 2x = 6(4) \\ 2x = 24 - 6 \\ x = \frac{18}{2} \\ x = 9[/tex]

Answer:

1/343    = .00291545

Step-by-step explanation:

= 1/(7*7*7) =

The value of the exponential equation is A = ( 1/343 ) = ( 1/7 )³

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 1/7 ) x ( 1/7 ) x ( 1/7 )   be equation (1)

On simplifying the equation , we get

A = ( 1/7 )³

Now , on further simplification , we get

A = ( 1/343 )

And , the value of A = 0.002915

Hence , the exponential equation is A = ( 1/7)³

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Answer:

25

Step-by-step explanation:

25

Answer: how many more means subtract so subtract and it will be 25 LLaps

Answer:

Jacob should work minimum of 14 hours washings cars to meet his requirement.

Step-by-step explanation:

Let the number of hours of washing cars be 'x'.

Let the number of hours of landscaping be 'y'.

Given:

Cost for Per hour for washing cars = $10

Cost for per hour Landscaping = $8

Total number of hours of working

Amount to be earned this weekend

So we can say that;

Also,

Amount to be earned this weekend should be greater than or equal to sum of Cost for Per hour for washing cars multiplied by number of hours of washing cars and Cost for per hour Landscaping multiplied by number of hours of landscaping.

framing in equation form we get;

Now Number of hours he worked for landscaping

So we get;

Subtracting both side by 32 we get;

Dividing both side by 10.

Hence Jacob should work minimum of 14 hours washings cars to meet his requirement.

Step-by-step explanation:

Slope of a function is defined as the rate of change of a function. It determine the unit price of values or amount traveled in unit time.

Slope of a function is defined as the rate of change of a function. It determine the unit price of values or amount traveled in unit time.

The formula for expressing the slope of a function is given as;

f'(x) = f(b)-f(a)/b-a

a and b are the intervals

The slope can also be expressed as a function of its coordinate (x, y)

Slope = y2-y1/x2-x1

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Answer:

the increase in pressure per meter of depth and the next question is the pressure at the oceans surface

Step-by-step explanation:

edge 2022

Answer:

The time it takes the ball to hit the ground is 3.05secs

step - by - step explanation:

In order to find height from where ball is dropped, you have to find height or h(t) when time or t is zero.So plug in t=0 into your quadratic equation:h(0) = -16.1(0^2) + 150h(0) = 0 +150h(0) = 150 ft is the height from where ball is dropped. When ball hits the ground, the height is zero. So plug in h(t) = 0 and solve for t.0 = -16.1t^2 + 15016.1 t^2 = 150t^2 = 150/16.1t = sqrt(150/16.1)t = ± 3.05Since time cannot be negative, your answer is positive solution i.e. t = 3.05

The exponential function is given by f(x) = 2ˣ and the  value of f(6) is 64

An equation is an expression that shows the relationship  between two or more numbers and variables.

An exponential funtion is in the form y = abˣ

At point (0, 1):

1 = ab⁰

a = 1

At point (2, 4):

4 = 1(b)²

b = 2

Hence:

f(x) = 2ˣ

Hence f(6):

f(6) = 2⁶ = 64

The exponential function is given by f(x) = 2ˣ and the  value of f(6) is 64

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Answer:

[tex]f^{-1}[/tex] (59) = 20

Step-by-step explanation:

[tex]f^{-1}[/tex] (x) is the inverse of f(x)

to find the inverse function, let f(x) = y and rearrange to make x the subject.

y = 3x - 1 ( add 1 to both sides )

y + 1 = 3x ( divide both sides by 3 )

[tex]\frac{y+1}{3}[/tex] = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{x+1}{3}[/tex] , then

[tex]f^{-1}[/tex] (59) = [tex]\frac{59+1}{3}[/tex] = [tex]\frac{60}{3}[/tex] = 20

Answer:

x + 8 = 13

3x - 2 = 13

The solution set of both equations is {5}.

Step-by-step explanation:

x + 8 = 13

3x - 2 = 13

Answer:

36

Step-by-step explanation:

Answer:

3^12=3*3*3*3*3*3*3*3*3*3*3*3=9*9*9*9*9*9=81*81*81=6561*81=531,441

Step-by-step explanation:

Answer:

that’s 700 divided by 0.54 or 700 x 0.54

Step-by-step explanation:

Answer:

that’s 700 divided by 0.54 or 700 x 0.54

Step-by-step explanation:

Answer:

Option #4:

[tex]X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]

Step-by-step explanation:

Start With

[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-4\end{array}\right][/tex]

1. Pivot Element

[tex]P_{1} =a_{1,1}=5[/tex]

[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-24\end{array}\right][/tex]

2. Pivot Element Again

[tex]P_{2} =a_{2,2}=-1[/tex]

[tex]\left[\begin{array}{ccc}-1&0\\0&-1\end{array}\right] \left[\begin{array}{ccc}-10\\-24\end{array}\right][/tex]

3.  Get x1 and x2 Values

[tex]\left \{ {{(-1)*x_{1}=(-10)} \atop {(-1)*x_{2}=(-24)}} \right.[/tex]

[tex]-x_{2} = (-24)\\x_{2} = 24\\\\-x_{1} = (-10)\\x_{1} = 10\\[/tex]

4. Get Answer

[tex]x_{1}=10\\x_{2}=24\\\\X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]

Explanation:

A quadrilateral has four sides, and each side is a straight line.

Quad = 4

Lateral = side

This means we go for choices A and C.

Choice B is ruled out because of the curved side on the right.

Choice D is ruled out because it has 5 sides instead of 4.

Answer:

218.5

Step-by-step explanation:

Hi brielleha

X = 3/2 = 1.5

4 x 1.5 = 6

B = 17

6 + 17 = 23

A = 8

8 x 1.5 = 12

12 + 9 = 21

6 x 1.5 = 9

9 + 10 =19

19, 21 23

A = 23 x 19

437/2 = 218.5

Answer:

£25

Step-by-step explanation:

100 - 15 = 85

53.55 ÷ 0.85 = 63

63 - 38 = 25

Answer:

b

Step-by-step explanation:

eg2022

Answer:

He rode 15 on his bike today.

Step-by-step explanation:

78 / 6 = 13 and 13 + 2 = 15

Answer:

Step-by-step explanation:

Answer:

Answer is A and F.

Step-by-step explanation:

To form a triangle the sum of any 2 sides must be greater than the third side.

The answer is not:

B as 5 + 12 < 19

C. as 5+5 < 12

D,  as 7 + 5 = 12

E as 5 + 12 = 17

Answer is A and F.

Answer:

She will practice about 960-1200 dives before those competitions in total

Step-by-step explanation:

All you have to do is multiply the number of dives by the number of competitions she has.