help. I can't do maths again​

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

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: a

Step-by-step explanation:

Converting using the scale 1 in = 15 yd, we get that the dimensions of the park are 22.5 inches by 37.5 inches.

So, converting this back using 1 inch to 10 yards, we get dimensions of 2.25 inches by 3.75 inches.

Answer:

£25

Step-by-step explanation:

100 - 15 = 85

53.55 ÷ 0.85 = 63

63 - 38 = 25

Answer:

15

Step-by-step explanation:

471.3 = 3.142×10×H

H= 471.3÷31.42

H=15

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:

its 4.951 x 106

Step-by-step explanation:

i took the tfar from k12

The area of a piece of land in scientific notation is 4.95 * 10⁶ square meters

from the question, we have the following parameters that can be used in our computation:

Area = 4,951,000 square meters

To write the area in square meters in scientific notation, we have

Area = 4.95 * 1,000,000 square meters

So, we have

Area = 4.95 * 10⁶ square meters

Hence, the area is 4.95 * 10⁶ square meters

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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:

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:

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.

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:

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:

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]

Answer:

25

Step-by-step explanation:

25

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

Answer:

135 ft^3

Step-by-step explanation:

Volume of a rectangular prism is basically just width x height x depth. So the area of the base multiplied by the height. 15 x 9 = 135

Answer: 135 ft³

Step-by-step explanation:

     Volume, when dealing with a rectangular prism, is L * W * H

-> L * W can simplify to the base, as it does in the problem given to us.

V = (L * W) * H

V = B * H

V = 15 * 9

V = 135 ft³

          The rectangular prism has a volume of 135 ft³.

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: B

Step-by-step explanation:

Answer:

He rode 15 on his bike today.

Step-by-step explanation:

78 / 6 = 13 and 13 + 2 = 15

Answer:

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:

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:

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:

b

Step-by-step explanation:

eg2022

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:

x + 8 = 13

3x - 2 = 13

The solution set of both equations is {5}.

Step-by-step explanation:

x + 8 = 13

3x - 2 = 13