Write an exponential equation of a function that passes through the
points (0,4) and (2,64).

Answer:

11

Step-by-step explanation:

Radius = R, Diameter = D

Area of a circle A = πR² = π(D/2)² = πD²/4

so D² = 4A/π = 4*30.25π/π = 121

[tex]D=\sqrt{121} = 11[/tex]

Answer:

[tex]\frac{35}{32}[/tex]

Step-by-step explanation:

1. (7/8) * (5/4)

2. (7)(5)

   (8)(4)

Bonus : 35/32 as a decimal is 1.09375

Awnser provided by Education Point

your answer is false

your welcome

Answer:

True

Explanation:

Any real numbers can equal 0 except 1.

Answer:

1.333

Step-by-step explanation:

Distance travelled (or displacement) will be the antiderivative of Velocity.

Antiderivative of -t^2 + 2 =

d(t) = -t^3/3 +2t

Now plug in t=2 and t=0 and subtract them.

(-8/3+4)- (0/3 +0)= -8/3+4 = 1.333

Answer:

1.333

Step-by-step explanation:

We know that the displacement function is the integral of the velocity function. We are also given our bounds, 0 seconds to 2 seconds.

x(t) = [tex]\int\limits^2_0 {t^{2} +2} \, dt[/tex] = -t³/3 + 2t (evaluated from zero to two)

= [-2³/3 + 2(2)] - [-0³/3 + 2(0)] = 4/3 = 1.333...

Answer:

The attached graph represents the system

Step-by-step explanation:

Let us describe the graph of each line

In y < -3x + 5

∵ The sign of inequality without =

∴ The line represents it must be dashed

The slope-intercept form of the inequality is y < m x + b, where m is the slope and b is the y-intercept

∵ y < -3x + 5

∴ m = -3 and b = 5

∴ The direction of the line is to the left and intersect the y-axis at (0, 5)

∴ y < -3x + 5 represented by the green line

∵ The sign of inequality is <, then the shading is under the green line

In y < x + 2

∵ The sign of inequality without =

∴ The line represents it must be dashed

∴ m = 1 and b = 2

∴ The direction of the line is to the right and intersect the y-axis at (0, 2)

∴ y < x + 2 represented by the blue line

∵ The sign of inequality is <, then the shading is under the blue line

In y < -1

∵ The sign of inequality without =

∴ The line represents it must be dashed

∴ m = 0 and b = -1

∴ The line is horizontal and intersects the y-axis at (0, -1)

∴ y < -1 represented by the red line

∵ The sign of inequality is <, then the shading is under the red line

∵ The shading of the three inequalities is under the lines

∴ The solutions of the system of inequalities lie in the common

   shaded part under the three lines

∴ The attached graph represents the system

The graph was plotted and is attached below.

Inequality is the unequal comparison of numbers or expressions.

Given the inequalities: y < -3x+5, y < x+2, y < -1

Graphing the above inequalities using the geogebra online graphing calculator.

The graph is attached below.

Find out more at: https://brainly.com/question/25285332

Answer:

7

Step-by-step explanation:

Answer:

32/75 in fraction form 0.426 in decimal

Step-by-step explanation:

0.64 2/3

convert tge decimal into a fraction = 64/100 reduce/simplify to 16/25

64 ÷ 4 = 16

___

100 ÷ 4 = 25

16/25 × 2/3 = 32/75

16 × 2 = 32

___

25 × 3 = 75

The simplified fraction form of .64 2/3 is 66/75. To convert the mixed number .64 2/3 to fraction form, we need to combine the whole number part and the fractional part.

The whole number part is 0.64, and the fractional part is 2/3.

To combine them, we multiply the whole number part by the denominator of the fraction and then add the numerator. Then, we put the result over the denominator.

Step 1: Convert the decimal to a fraction.

0.64 = 64/100

Step 2: Combine the whole number part and the fractional part.

0.64 2/3 = 64/100 + 2/3

Step 3: Find a common denominator (the least common multiple of 100 and 3 is 300).

0.64 2/3 = (64/100) + (200/300)

Step 4: Add the fractions.

0.64 2/3 = (64/100) + (200/300) = 264/300

Step 5: Simplify the fraction, if possible.

264/300 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4.

264 ÷ 4 = 66

300 ÷ 4 = 75

So, the simplified fraction form of .64 2/3 is 66/75.

To know more about fraction form:

https://brainly.com/question/24601631

#SPJ2

Answer:

the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degrees

Answer:

the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degree.

step-by-step explanation:

Answer:

C

Step-by-step explanation:

Translate up & left then reflect over y axis.

Answer:

C

Step-by-step explanation:

First you have to translate up and then left, then reflect over the y axis.

search nyo sa wow math ,lalabas Ang sagot nyan

Answer:

the total cost would be $20.25

Step-by-step explanation:

Hello!

Let's consider what the question asks for

--> value of 'y' when 'x = 0'

   -7x + 3y = 30

Let's plug in '0' into x and solve for 'y'

  [tex]-7x+3y=30\\\\-7(0)+3y=30\\\\y=10[/tex]

Thus y = 10 when x = 0

Answer: 10

We are given the equation:

To find the value of y when x equals 0, we need to substitute 0 for x in the equation and solve for y:

Simplifying the equation:

Dividing both sides by 3:

[tex]\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]

Answer:

Step-by-step explanation:

Pay attention to the coordinates.

Because you are asked to find the perimeter, you need to determine the length of each side.

If the line is horizontal - you look at the x-coordinates. What's the distance between point A to point C?

For the diagonal sides you can use this formula:

d = Square root[( x 2 − x 1 ) ^2 + ( y 2 − y 1 ) ^ 2]

Answer:

Fourth option

Step-by-step explanation:

Given the following question:

[tex]f(x)=-12x+15[/tex]

The domain of a function is all possible x inputs for a function, on the contrary range of a function would be all possible y inputs for a function.

[tex]f(x)=-12x+15[/tex]

Since the function has all defined points, it basically means that the functions possible x inputs are "all real numbers" or the fourth option.

[tex]-\infty \: < x < \infty[/tex]

Hope this helps.

Answer:

7/7

I hope that helped! :)

Answer:

7/7

Step-by-step explanation:

to have a whole you must have the same numerator and denominator because its a fraction split into portions so if you have a cake thats split into 10 pieces if you got rid of a piece it would no longer be a whole it would be 9/10 of the cake so use that for the future

Step-by-step explanation:

12 bottles for 0.90 per bottle = 12×0.90 = £10.80 as initial cost.

1/4 of 12 = 12×1/4 = 12/4 = 3 bottles

so, 3 bottles are sold for £2.10 per bottle = 3×2.1 = £6.30

the rest (12-3) 9 bottles are sold for £2.40 per bottle = 9×2.4 = £21.60

so, the total sales was 6.3 + 21.6 = £27.90.

the profit is then sales minus initial cost :

27.9 - 10.8 = £17.10

1% of the initial cost is 10.8/100 = 0.108

how often does 1% fit into the total profit ?

17.1/(10.8/100) = 17.1×100/10.8 = 158.3333333...%

so, the profit is 158.3333333...% of the initial cost.

Answer:

13.01d − 2.65

The liked terms are "3.26d + 9.75d". Just add them accordingly.

Answer:

Step-by-step explanation:

-31 cannot equal 5 so the equation is false.

Answer:

n=8

Step-by-step explanation:

So, |n-3| means that the expression, n-3, is an absolute number (which is the difference from zero; just take off the negative sign if it has one)

Because the left side of the equation, 5, is a positive number, you would know that the equation can be solved by:

n-3=5       add 3 to both sides

n=8

You should also know that the absolute number (shown using | |) is not a negative number. (well, as long as the n is a real number)

Hope that helps!!!

Answer:

[tex]0.65[/tex]

Step-by-step explanation:

Given the following question

7 notepads cost $4.55 what's the unit price?

Unit price is price per unit, we find the price per unit by dividing the total cost of the notepads by the total amount of the notepads which is 7.

[tex]unitp=cost\div quantity[/tex]
[tex]7n=4.55[/tex]
[tex]4.55\div7=0.65[/tex]
[tex]=0.65[/tex]

The unit price of the seven notepads is "$0.65."

Hope this helps.

Answer:

2/3 is simplest form

Step-by-step explanation:

you find the greatest common factor of both numbers, in this case it is 7. Then, you divide both numbers by the greatest common factor to get the simplest form.

hope this helps ☺

Answer:

2/3 is

Step-by-step explanation:

Answer:

The answer is the last question (7x to-the-power-of 2 - 72)

Step-by-step explanation:

7x²+72 -6x√56

7x²+72-6x√(14×4)

7x²+72-12x√(14) because√(14×4)=2√14

Answer:

67.3°C

Step-by-step explanation:

A = 25, T(0) = 100, T(1) = 90, find T(4)

dT/dt = -k(T - A)

d(T - A)/dt = -k(T - A)

d(T - A)/(T - A) = -k dt

ln(T - A) = lnC - kt

[tex]T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75[/tex]

[tex]T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3[/tex]

Answer:

5/12 + 8/12 = 13/12 = 1 1/12

Step-by-step explanation:

This is the answer because:

1) You have to add the fractions, in order to add the fractions you have to find the common denominato.

2) The common denominato is 12 because 2 x 4 = 8 and 3 x 4 = 12. Therefore, 2/3 = 8/12.

3) Finally, once you add 5/12 and 8/12, you should get 13/12 which is also equal to 1 1/12.

Hope this helps! :D

Answer:

13 times 1 1/2 is 19 1/2 and 19 1/2 times 9 is 175 1/2 and 175 1/2 divided by 12 is 14 5/8 so the answer is 14 5/8

Step-by-step explanation:

To find the volume of a prism, we can use the following formula:

[tex]V=base\hspace{3}area*height[/tex]

Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.

For a rectangular prism, the base area is solved using the following formula:

[tex]A=lw[/tex] ⇒ where l is the length and w is the width

We're given:

First, find the base area:

[tex]A=lw\\A=16^2\\A=256[/tex]

Therefore, the base area is equal to 256 ft².

Now, modify the volume formula to isolate the height:

[tex]V=base\hspace{3}area*height[/tex]

⇒ Divide both sides by the base area:

[tex]\dfrac{V}{base\hspace{3}area}=\dfrac{base\hspace{3}area*height}{base\hspace{3}area}\\\\\dfrac{V}{base\hspace{3}area}=height\\\\height=\dfrac{V}{base\hspace{3}area}[/tex]

⇒ Plug in the given values:

[tex]height=\dfrac{4352}{256}\\\\height=17[/tex]

Therefore, the height of the box is 17 ft.

The height of the box is 17 ft.

Answer:

17

Step-by-step explanation:

Answer:

x = -15/16

Step-by-step explanation:

see image.

Cross-multiply and combine like terms. Finally divide to get x all by itself.

see image.

Answer:

Rate of Change is 2

Step-by-step explanation:

The y values are changing by 4

The x values are changing by 2

Rate of change = Change of y/Change of x

4/2=2