Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale

Answer:

20%

Step-by-step explanation:

x = k√y

Increase y by 44%. y becomes 1.44y.

x = k√(1.44y)

x = 1.2k√y

x went from k√y to 1.2k√y.

(1.2k√y)/(k√y) = 1.2

x is now 1.2 times greater than it was, so the increase in x is 20%.

Answer: 20%

Answer:

a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]

b)

The balance after 1 year is of $10,768.644

The balance after 2 years is of $11,500.91

The balance after 5 years is of $14,010.25.

The balance after 10 years is of $19,467.15

c)

The doubling time is of 10.54 years.

Step-by-step explanation:

Continuously compounded interest:

The amount of money earning after t years, with interest compounded continuously, is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.

a) Find the exponential function that describes the amount in the account after time t, in years.

Suppose that $10,083 is invested at an interest rate of 6.8% per year

This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = 10083(1+0.068)^t[/tex]

[tex]A(t) = 10083(1.068)^t[/tex]

b) What is the balance after 1 year? 2 years? 5 years? 10 years?

After 1 year:

[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]

The balance after 1 year is of $10,768.644

After 2 years:

[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]

The balance after 2 years is of $11,500.91.

After 5 years:

[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]

The balance after 5 years is of $14,010.25.

After 10 years:

[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]

The balance after 10 years is of $19,467.15.

c) What is the doubling time?

This is t for which [tex]A(t) = 2A(0)[/tex]. So

[tex]A(t) = A(0)(1.068)^t[/tex]

[tex](1.068)^t = 2[/tex]

[tex]\log{(1.068)^t} = \log{2}[/tex]

[tex]t\log{1.068} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]

[tex]t = 10.54[/tex]

The doubling time is of 10.54 years.

Answer:

The expected value of X is $0.0833.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] desired outcomes.

Desired outcomes:

Sum 5: (1,4), (2,3), (3,2), (4,1).

Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)

Sum of 9: (3,6), (4,5), (5,4), (6,3)

Sum of 10: (4,6), (5,5), (6,4)

Sum of 12: (6,6)

Probabilities:

5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.

4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.

36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.

What is the expected value of X?

Multiplication of each outcome by its probability. So

[tex]E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833[/tex]

The expected value of X is $0.0833.

Answer:

[tex]y = 4.5x[/tex]

Step-by-step explanation:

Given

The attached table

Required

The table equation

The table shows a linear relationship.

So, we calculate the slope (m) first

Using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) =(2,9)[/tex]

[tex](x_2,y_2) =(6,27)[/tex]

So, we have:

[tex]m = \frac{27 - 9}{6 - 2}[/tex]

[tex]m = \frac{18}{4}[/tex]

[tex]m = 4.5[/tex]

Next, the equation is calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 4.5(x - 2) + 9[/tex]

Open bracket

[tex]y = 4.5x - 9 + 9[/tex]

[tex]y = 4.5x[/tex]

Answer:

foreal

Step-by-step explanation:

Answer:

The wright answer is 16.33 inches

Answer:

This relationship is a function because the plant can only be one height at a time.

Step-by-step explanation:

Functions occur when the recorded x-value is varied each time. Since the height of the plant (the x-value) varies each day, it is a function.

Answer:

60292138333920306000

Step-by-step explanation:

Answer:

119.

Step-by-step explanation:

12x12 is 144

5x5 is 25

144-25 = 119

Answer:2.7

Step-by-step explanation:

Just multily the 2 products

Answer:

a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

b) 0.05 = 5% probability that he has four goals and two assists in one game

Step-by-step explanation:

In hockey, a point is counted for each goal or assist of the player.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.

(a) Find the mean and standard deviation for the total revenue he earns per game.

60% of six are goals, which means that 60% of the time he earned 3K.

40% of six are goals, which means that 40% of the time he earned 1K.

The mean is:

[tex]\mu = 6*0.6*3 + 6*0.4*1 = 13.2[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63[/tex]

The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

(b) What is the probability that he has four goals and two assists in one game

Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.

Probability of four goals:

60% of 6 are goals, which means that:

[tex]\mu = 6*0.6 = 3.6[/tex]

The probability of scoring four goals is:

[tex]P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122[/tex]

Probability of two assists:

40% of 2 are assists, which means that:

[tex]\mu = 6*0.4 = 2.4[/tex]

The probability of getting two assists is:

[tex]P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127[/tex]

Probability of four goals and two assists:

[tex]P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05[/tex]

0.05 = 5% probability that he has four goals and two assists in one game

suzy will be walking around the circumfernnce of the fountain

circumfernce= [tex]2\pi r[/tex]

r is half of the diameter so it will be 5

[tex]2\pi (5)=31.4[/tex]

as she walks around it 3 times it will be

[tex]31.4 *3 = 94.2 feet[/tex]

so the answer is H. 94.2 feet

please mark as brainliest

Answer:

19

Step-by-step explanation:

given that 8 + m = 27

we need to find m

we can do this by isolating the variable using inverse operations

8 + m = 27

we want to get rid of the 8 in 8 + m

The opposite of addition is subtraction

So we want to subtract by 8 but remember what ever we do to one side we want to do to the other side

So we subtract 8 from each side

8 - 8 cancels out

27 - 8 = 19

we're left with m = 19

Answer:

9

Step-by-step explanation:

highest value: 13

lowest value: 4

13-4= 9 which is the range

Answer: 9

Step-by-step explanation: 13-4=9

Answer:

The first picture on the second page

Step-by-step explanation:

The first picture on the second page would be the answer because it gives exactly one input for each output. It also passes the vertical line test because no point throughout the line creates a vertical line.

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] - 12x \leqslant - 72 \\ x \geqslant \frac{ - 72}{ - 12} \\ x \geqslant 6[/tex]

The direction changes when we divide by nagative value

I hope that is useful for you :)

Answer:

The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound.

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

total weight=75 pounds

each bag weighed 1 1/2 pound=3/2 pound

no. of lunches=total weight/weight of each lunch

=75/(3/2)

=75*2/3

=50lunches

Answer:

50

Step-by-step explanation:

You need to divide 75 lb by 1 1/2 lb.

[tex] 75 \div 1 \frac{1}{2} = 75 \div \dfrac{3}{2} = \dfrac{75}{1} \times \dfrac{2}{3} = \dfrac{150}{3} = 50 [/tex]

Answer: 50

Answer:

x  = 5.

Step-by-step explanation:

The area of a rectangle can be determined by the following formula.

A = l ⋅ w  

l  stands for length or the longer side.

w  stands for width or the shorter side.

Now, we can plug the values we are given into the equation.

A = ( x − 2 ) ⋅ ( x + 8 )

The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.

A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16

Now, we can plug in the given value for the area.

39 = x 2 + 6 x − 16  

Next, we simplify by moving all terms to one side and factor the equation.

0 = x 2 + 6 x − 55

Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.

0= ( x − 5 ) ⋅ ( x + 11 )

If the equation ultimately equals zero, either  ( x − 5 )  or  ( x + 11 )  or both equal zero. Therefore, we set each equal to zero to find the value of  

x .

x − 5 = 0 x = 5 x + 11 = 0

x = − 11

Since  x  is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.

Answer:

(a) and (e)

Step-by-step explanation:

Given

[tex]d = 14cm[/tex]

Required

Select the true statements

First, is a statement about the area.

The area is calculated as:

[tex]Area= \pi*\frac{d^2}{4}[/tex]

So, we have:

[tex]Area= 3.14*\frac{14^2}{4}[/tex]

[tex]Area= 3.14*49[/tex]

(a) is true

Next, is a statement about the circumference.

This is calculated as:

[tex]C = \pi d[/tex]

So, we have:

[tex]C = 3.14 * 14[/tex]

(e) is true

Answer:

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.

Answer:

cos ( 4 x ) = - 479 / 2401

Step-by-step explanation:

:D

Answer: rational number

Step-by-step explanation:

Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written

Answer:

3÷1/6

Step-by-step explanation:

here is your answer. If it helps don't forget to like and Mark me

Answer:

Area is 140 ft2

perimeter is 54 ft

Answer:

54 and 140

Step-by-step explanation:

If the lengths are 20ft and 7ft, then you can just add 20+20+7+7, which equals 54.

The area is 140, because if you multiply 20 by 7, thn you get 140.

Hope that this helps!

Answer: 761 yd

split the figure into different pieces to make it easier

(23 x 7) + (40 x 15)

161 + 600

761

hope this helped :)

Answer:

761 yd ^3

Step-by-step explanation:

Answer:

From the table, Riley is moving forward on the interval [0,1.5].

I takes Riley 6 seconds to swing forward, back, and then return to her starting position.

Riley reaches a maximum distance of 38.9 inches from her starting position.

Step-by-step explanation:

PLATO/Edmentum

The blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.

Mathematical tables are collections of numbers that display the outcomes of calculations made using various inputs.

Given that in the table the position of Riley with respect to time. Also, If her position is ahead of its initial position it is positive, while if she is behind her initial position it is negative.

Now as per the table, the statements can be completed as,

Hence, the blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.

Learn more about Table here:

https://brainly.com/question/10670417

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