Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?

Answer: 23.76 sq yds

Step-by-step explanation:

0.5*9.9*4.7=23.76

Area of triangle: 0.5*b*h

The function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

To determine the intervals on which the function is increasing or decreasing, we need to find the derivative of the function and analyze its sign.

Let's find the derivative of the function f(x) = x + 10√(9 - x) with respect to x.

f'(x) = 1 + 10 * (1/2) * (9 - x)^(-1/2) * (-1)

= 1 - 5√(9 - x) / √(9 - x)

= 1 - 5 / √(9 - x).

To analyze the sign of the derivative, we need to find the critical points where the derivative is equal to zero or undefined.

Setting f'(x) = 0:

1 - 5 / √(9 - x) = 0

5 / √(9 - x) = 1

(√(9 - x))^2 = 5^2

9 - x = 25

x = 9 - 25

x = -16.

The critical point is x = -16.

We can see that the derivative f'(x) is defined for all x values except x = 9, where the function is not differentiable due to the square root term.

Now, let's analyze the sign of the derivative f'(x) in the intervals (-∞, -16), (-16, 9), and (9, ∞).

For x < -16:

Plugging in a test value, let's say x = -17, into the derivative:

f'(-17) = 1 - 5 / √(9 - (-17))

= 1 - 5 / √(9 + 17)

= 1 - 5 / √26

≈ 1 - 0.97

≈ 0.03.

Since f'(-17) is positive, the function is increasing in the interval (-∞, -16).

For -16 < x < 9:

Plugging in a test value, let's say x = 0, into the derivative:

f'(0) = 1 - 5 / √(9 - 0)

= 1 - 5 / √9

= 1 - 5 / 3

≈ 1 - 1.67

≈ -0.67.

Since f'(0) is negative, the function is decreasing in the interval (-16, 9).

For x > 9:

Plugging in a test value, let's say x = 10, into the derivative:

f'(10) = 1 - 5 / √(9 - 10)

= 1 - 5 / √(-1)

= 1 - 5i,

where i is the imaginary unit.

Since the derivative is not a real number for x > 9, we cannot determine the sign.

Combining the information, we conclude that the function f(x) = x + 10√(9 - x) is increasing on the interval (-∞, 9) and decreasing on the interval (9, ∞).

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Answer:

38m

Step-by-step explanation:

the top side is equal to

2 + 5 + 1 = 8

the perimeter:

9 + 7 + 8 + 2 + 4 + 5 + 2 + 1 = 38

Answer:

-8 ≤ y ≤ 7

Step-by-step explanation:

Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

The statement that best describes the type of triangle is;

The triangle is a scalene triangle and also an acute triangle.

Triangles could be classified based on their interior angles or even the number of equal sides of the triangle. Thus;

A triangle is called an acute triangle if all three angles are less than 90°

A triangle is called a right triangle if one angle is 90°

A triangle is called an obtuse triangle if one angle is greater than 90°

A triangle is called an Equilateral triangle if all three sides are the same length

A triangle is called an Isosceles triangle if two sides are the same length

A triangle is called a Scalene triangle if all three sides are of different lengths.

We are given the three angles of the triangle as; 40 °, 60°, and 80°.

Likewise we are given the length of the three sides as 8 cm, 10 cm, and 20 cm.

Since none of the angles nor sides are equal nor 90 degrees, then we can call this a scalene triangle. It can also be classified as an acute angle as all three angles are less than 90 degrees.

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The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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Answer:

calculator gave me 6.5732

Step-by-step explanation:

Answer:

The one you have selected is the right answer 126 times pi

Step-by-step explanation:

Exact answer - 395.840674

The surface area of the right cylinder from the following is A. 126π unit².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given is a three dimensional cylinder.

The formula to find the surface area of a cylinder is,

Surface area = 2πrh + 2πr²

where r is the radius of the base of the cylinder and h is the height of the cylinder.

Given,

Radius = 7 and height = 2

Surface area =  2π [(7 × 2) + (7²)]

                      = 2π [14 + 49]

                      = 126π

Hence the surface area of the right circular cylinder shown is 126π unit².

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The prοbability οf exactly 3 successes in 6 trials οf a binοmial experiment with a prοbability οf success οf 75% is 31.1%, rοunded tο the nearest tenth οf a percent.

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο find the prοbability οf exactly 3 successes in 6 trials οf a binοmial experiment, we use the fοrmula:

The prοbability οf r successes in n trials is \(\rm _nC_r(p)^r(q)^{n-r\), where p is the prοbability οf success οn a given trial and q = 1-p.

In this prοblem, n = 6, r = 3, p = q = 0.75

Sο, P(3 successes in 6 trials) = \(\rm _6C_3(0.75)^3(0.75)^3\) =  0.13184 ≈ 13.2%

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Answer:

$13.92

Step-by-step explanation:

$212.90-198.98

Answer: y=-4/3x

Step-by-step explanation: The above equation is in standard form because it is written as "y = mx + b," where m is the slope and b is the y-intercept. In this case, the slope is -4/3 and the y-intercept is 0.

omgggg thats what she said

Answer:

8x+8?

Step-by-step explanation:

2x+6x=8x

5+3=8

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

The expression that is used is:

b) For what ages does the formula seems to work best?

For ages equal or greater than 34, the answer is either 0 or negative, therefore it doesn't work well for those. We know that the sleeping time for humans is usually around 8h, so let's find which ages result in that value:

It seems that the formula works best for values around 18 years old.

c) Solve the value for A

To solve an equation for a given variable we need to isolate said variable on the left side. This is done below:

d) To find the age of a person who sleeps 8 h per hour we need to make H=8. We have:

If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.

Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.

From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.

Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.

So,

length of arc LNM=Circumference of circle-length of arc LKM.

We know that length of an arc =Θr

in which Θ is the angle in radian.

length of arc=70*π\(/180*5\)

=70π\(/36\)

Circumference of circle=2π*5

=10π

Length of arc LNM=10π-70π\(/36\)

=(360π-70π)\(/36\)

=290π\(/36\)

Put π=3.14

=290*3.14\(/36\)

=910.6\(/36\)

=25.29m

Hence the length of arc LNM is 25.29 m.

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Answer:

the answer would be B or 358.38

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)

To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.

Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".

Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,

=> 16 = 2 1/2 + 2 1/4b

Hence the correct option is (b).

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Answer:

1. Mode = 7

2. Range = 8

Step-by-step explanation:

The following set of data were obtained from the question:

4, 6, 5, 9, 3, 2, 7, 7, 1, 8

Mode =?

Range =?

1. Determination of the mode of the data.

Mode is simply defined as the mark (score) with the highest frequency. Thus we can obtain the mode as follow:

Scores >>>>>>> Frequency

4 >>>>>>>>>>>> 1

6 >>>>>>>>>>>> 1

5 >>>>>>>>>>>> 1

9 >>>>>>>>>>>> 1

3 >>>>>>>>>>>> 1

2 >>>>>>>>>>>> 1

7 >>>>>>>>>>>> 2

1 >>>>>>>>>>>> 1

8 >>>>>>>>>>>> 1

From the above illustration, we can see that the mark 7 has the highest frequency. Therefore, 7 is the mode of the data .

2. Determination of the range of the data.

Range of a given data is simply obtained by calculating the difference between the highest and the lowest score. The range can be obtained as follow:

Highest score = 9

Lowest score = 1

Range = Highest – Lowest

Range = 9 – 1

Range = 8

The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.

According to the problem, two equations can be set up:

If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:

A + n = 7(B - n)

If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:

A - n = 2(B + n)

We can rearrange these equations to make them easier to solve:

8n = 7B - A

3n = A - 2B

Setting these equal to each other, since they are both equal to 24n, gives:

21B - 3A = 8A - 16B

37B = 11A

A / B = 37 / 11

= 3. 36

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Answer:

(1,10) is not a solution to the inequality.

Step-by-step explanation:

First, you want to insert the values of x and y in the inequality.

So, \(10\leq 4(1) +1\)

\(10\leq 5\)

That inequality is not true, so we know that (1,10) is not a valid solution.

Answer:

no

Step-by-step explanation:

The provided quadrilateral is a parallelogram because diagonals are bisecting each other option Yes is correct.

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

It is given that:

A quadrilateral is given in the picture.

As we know, in the parallelogram the diagonals of the parallelogram bisect each other.

In the figure, it is given that the diagonals are bisecting each other.

From the figure, the two opposite sides are parallel.

In the parallelogram the pair of opposite sides are parallel.

Thus, the provided quadrilateral is a parallelogram because diagonals are bisecting each other option Yes is correct.

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Answer:

a. Normally distributed with a mean of $2700 and a standard deviation of $40

Step-by-step explanation:

Given that:

the mean daily revenue is $2700

the standard deviation is $400

sample size n is 100

According to the Central Limit Theorem, the sampling distribution of the sample mean can be computed as follows:

\(\mathbf{standard \ deviation =\dfrac{ \sigma}{\sqrt{n}}}\)

standard deviation = \(\dfrac{400}{\sqrt{100}}\)

standard deviation = \(\dfrac{400}{10}}\)

standard deviation = 40

This is because the sample size n is large ( i,e n > 30) as a result of that  the sampling distribution is normally distributed.

Therefore;

the statement that  describes the sampling distribution of the sample mean is : option A.

a. Normally distributed with a mean of $2700 and a standard deviation of $40

Answer:

(a)  $897.72:  26 yr

     $1526.49:  10 yr

(b)  See below.

(c)  x = 705

     more, $705, longer it will take

Step-by-step explanation:

Given equation:

\(t=16.708 \ln \left(\dfrac{x}{x-705}\right)\)

where:

\(\begin{aligned}x=897.72 \implies t& =16.708 \ln \left(\dfrac{897.72}{897.72-705}\right)\\& =16.708 \ln \left(4.65815691...\right)\\&=16.708(1.53861985...)\\&=25.70726...\\&=26\; \rm years\end{aligned}\)

\(\begin{aligned}x=1526.49 \implies t& =16.708 \ln \left(\dfrac{1526.49}{1526.49-705}\right)\\& =16.708 \ln \left(1.85819669...\right)\\& =16.708(0.619606496...)\\&=10.352385...\\&=10 \; \rm years\end{aligned}\)

To approximate the total amounts paid (in dollars) over the term of the mortgage, multiply the monthly payment by the term.

Please note I have provided two calculations per monthly payment:

(1) by using the exact term, and (2) using the rounded term from part (a).

\(\implies \$897.72 \times 25.7072605... \times 12 =\$276935.06\)

\(\implies \$897.72 \times 26 \times 12=\$280088.64\)

\(\implies \$1526.49 \times 10.3523853... \times 12=\$189633.75\)

\(\implies \$1526.49 \times 10 \times 12 =\$183178.80\)

To calculate the amount of interest costs (in dollars) in each case, subtract $150,000 from the total amounts paid:

\(\$897.72\implies 276935.06-150000=\$126935.06\)

\(\$897.72 \implies 280088.64-150000=\$130088.64\)

\(\$1526.49 \implies 189633.75-150000=\$39633.75\)

\(\$1526.49\implies 183178.80-150000=\$33178.80\)

The natural logarithm of a negative number cannot be taken.

Therefore, x > 705.

So the vertical asymptote for the model is:

The monthly payment must be more than $705, and the closer to this value the payment is, the longer it will take to pay off the mortgage.

Answer:

what is the question

Step-by-step explanation:

I need a question

Answer:

Hello the answer is 15

Step-by-step explanation:

give me brainliest please

Answer:

i got 48000

Step-by-step explanation:

20x40x60

when solving volume you multiply the length times width times height.

The distance from Maria's desk to Monique's desk is  \(2\sqrt{13}\)

Given,

In the question:

Maria's desk is located at (2, −1), and Monique's desk is located at (−2, 5).

To find the  distance from Maria's desk to Monique's desk.

Now, According to the question:

We know that :

The formula of Distance:

\(\sqrt{(x_{2} -x_{1} )^2+(y_{2}-y_{1} )^2}\)

Substitute (2, -1) and (-2, 5) into distance formula:

\(\sqrt{(-2-2)^2+(5+1)^2}\)

Calculate:

\(\sqrt{(-4)^2+(6)^2}\)

\(\sqrt{16+36}\\ \\\sqrt{52}\)

= \(2\sqrt{13}\)

Hence, The distance from Maria's desk to Monique's desk is  \(2\sqrt{13}\)

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Answer: square root of 52

Step-by-step explanation:

did the practice test