The data below represents the number of canoes rented each month from May through October. find the mean absolute deviation. round to the nearest hundredth 15, 29, 36, 45, 31, 12

1/5 of a foot

Simply subtract the height of Pancho’s sandcastle (3/5 of a foot) minus the height of his sister’s sandcastle (2/5 of a foot) to find a difference of 1/5 of a foot, meaning Pancho’s sandcastle was 1/5 of a foot taller than his sister’s sandcastle.

Answer: D) x⁻²

Step-by-step explanation:

  x³ ÷ x⁵

= x³⁻⁵

= x⁻²

Answer:

Watson's garden shop has the better deal on the lawn mower.

Hope this helped :)

Step-by-step explanation:

Watson's $130 - 50% = $65

Hartman's $130 - 40% = $78

                  $78 - 15% = About $66

Answer:

The deal of Watson’s garden shop is better.

Step-by-step explanation:

Given,

The original price = $ 130,

After 50% off,

The new price would be,

[tex]P_1=130\times \frac{(100-50)}{100}[/tex]

[tex]=\frac{130\times 50}{100}[/tex]

[tex]=\frac{6500}{100}[/tex]

[tex]=\$ 65[/tex]

While, after 40% off then additional 15% off,

The new price would be,

[tex]P_2= 130\times \frac{(100-40)}{100}\times \frac{(100-15)}{100}[/tex]

[tex]=130\times \frac{60}{100}\times \frac{85}{100}[/tex]

[tex]=\frac{663000}{10000}[/tex]

[tex]=\$ 66.30[/tex]

∵ 66.30 > 65

Hence, first deal is better.

Answer:

C

Step-by-step explanation:

Substitute 2x into the equation where x is located. G(x)= (2x)^2=4x^2. This will be a graph which has been vertically stretched has a very steep curve to it facing up. It is C.

Answer: [tex]x=11.47[/tex]

Step-by-step explanation:

Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.

Therefore, you need to remember the following identity:

[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]

Then, knowing that:

[tex]\alpha=55\°\\adjacent=x\\hypotenuse=20[/tex]

 You need to substitute these values into[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]:

 [tex]cos(55\°)=\frac{x}{20}[/tex]

Now, you can solve for "x":

[tex]20*cos(55\°)=x\\x=11.471[/tex]

Rounded to the nearest hundreth:

[tex]x=11.47[/tex]

Answer:

The measure of the length is [tex]23\ ft[/tex]

Step-by-step explanation:

Let

x-----> the length of rectangle

y-----> the width of rectangle

we know that

The perimeter of rectangle is equal to

[tex]P=2(x+y)[/tex]

[tex]P=66\ ft[/tex]

so

[tex]66=2(x+y)[/tex]

Simplify

[tex]33=x+y[/tex] -----> equation A

[tex]x=2y+3[/tex] ----> equation B

Substitute equation B in equation A and solve for y

[tex]33=(2y+3)+y[/tex]

[tex]2y+y=33-3[/tex]

[tex]3y=30[/tex]

[tex]y=10\ ft[/tex]

Find the value of x

[tex]x=2(10)+3=23\ ft[/tex]

Answer:

The measure of the length is 23\ ft

Step-by-step explanation:

Answer: I'm pretty sure it's a or c. I think its c.

Step-by-step explanation: Cuz 3x + 4x = 7x times 4x = 28x then we have

                                             12x + 16x = 28x

The answer is:

The distance to over by Adam to get to the park is 108 miles.

To solve the problem, we need to write two equations using he given information about the times and his speed.

So,

For the first equation we have: Travel to Disney Park

[tex]time=4hours[/tex]

[tex]Distance=v*4hours[/tex]

For the second equation we have: Travel back from Disnery Park

[tex]time=4hours-2.5hours=1.5hours[/tex]

[tex]Speed=v+45mph[/tex]

[tex]Distance=(v+45mph)*1.5hours[/tex]

Then, if Adam covered the same distance going and coming back, we have:

[tex]v*4hours=(v+45mph)*1.5hours[/tex]

[tex]v*4hours=v*1.5hours+45mph*1.5hours[/tex]

[tex]v*4hours-v*1.5hours=45mph*1.5hours[/tex]

[tex]v*2.5hours=67.5miles[/tex]

[tex]v=\frac{67.5miles}{2.5hours}=27\frac{miles}{hour}=27mph[/tex]

We have that the speed when he was going to Disney Park was 27 mph.

Now, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.

Therefore, substituting the speed into the second equation, we have:

[tex]Distance=(v+45mph)*1.5hours[/tex]

[tex]Distance=(27mph+45mph)*1.5hours=72mph*1.5hours=108miles[/tex]

Hence, we have that the distance that Adam should cover to get to the park is 108 miles.

Havea nice day!

Answer:

The height h is [tex]5\ cm[/tex]

Step-by-step explanation:

we know that

The surface area of the bread is equal to

[tex]SA=2B+Ph\\[/tex]

where

B is the area of the base

P is the perimeter of the base

h is the height

In this problem

If fifty percent of the surface area of the bread is crust

then

[tex]2B=Ph\\[/tex]

substitute the values

[tex]2(10)(10)=4(10)h\\[/tex]

[tex]200=40h\\[/tex]

[tex]h=200/40=5\ cm[/tex]

Answer:

Step-by-step explanation:

Do you mean an isosceles triangle? If you do then the answer is yes because two of the angles cannot be more that 90o. If they are the sum of the angles are going to be more than 180.

For example, if both angles in the isosceles triangles are 100 then the two angles will add up to 100 + 100 = 200 degrees. No triangle has 200 degrees in it.

Well how about 90.? Could two angles in a triangle have 90 each?

No because 90 + 90 = 180. There's no room for another angle.

So two angles of an isosceles triangle must be acute.

If this is not what you mean, please leave a not.

Answer:

- 11 - 6x + 2x^2 +8x^3

Step-by-step explanation:

Usually polynomials are written in descending order, with the highest exponent value going first. In this problem, you need to find the lowest exponent value, and go up from there. After looking at all the answers, you can conclude that - 11 - 6x + 2x^2 +8x^3 is correct.

I hope this helps!

Answer:

D

Step-by-step explanation:

A polynomial in ascending order means the term of lowest degree is first, followed by terms of increasing degree

A constant has degree zero

A term with x has degree 1

A term with x² has degree 2

A term with x³ has degree 3 ... and so on, thus

- 11 - 6x + 2x² + 8x³ ← is written in ascending order

Answer:

y = -3x + 2, or C

Step-by-step explanation:

So, slope intercept form is y = mx + b.

m = (y2 - y1)/(x2 - x1). So (5 - (-1))/(-1 - 1) = -3

b = (0,2), according to the graph, or just 2.

So y = -3x + 2

Option B is the right answer.

What we're looking for is a hollow point on -3 going to the right and a hollow point on 2 pointing to the left.

The answer to this is B. The one that is shaded orange in the picture.

The run is the horizontal change between two points along a line.

Answer:

The run is a HORIZONTAL change between two point son a line.

Step-by-step explanation:

This is because when your slope is a fraction, run is over rise, and run is when you go upwards to be able to plot a point. Therefore, the run is horizontal.

Answer:

x = 5 or x = -4

Step-by-step explanation:

3x^2 - 3x - 60 = 0

Factor out 3 from the left side.

3(x^2 - x - 20) = 0

Divide both sides by 3.

x^2 - x - 20 = 0

Factor the trinomial.

(x - 5)(x + 4) = 0

x - 5 = 0 or x + 4 = 0

x = 5 or x = -4

[tex]\bf \cfrac{4v+1}{6v^2-19v+10}\div \boxed{x}=\cfrac{4v-1}{3v-2}\implies \cfrac{~~\frac{4v+1}{6v^2-19v+10}~~}{x}=\cfrac{4v-1}{3v-2} \\\\\\ \stackrel{\textit{cross-multipying}}{\cfrac{~~\frac{4v+1}{6v^2-19v+10}~~}{\frac{4v-1}{3v-2}}=x}\implies \cfrac{4v+1}{6v^2-19v+10}\cdot \cfrac{3v-2}{4v-1}=x \\\\\\ \cfrac{4v+1}{(\underline{3v-2})(2v-5)}\cdot \cfrac{\underline{3v-2}}{4v-1}=x\implies \cfrac{4v+1}{(2v-5)(4v-1)}=x \\\\\\ \cfrac{4v+1}{8v^2-2v-20v+5}=x\implies \cfrac{4v+1}{8v^2-22v+5}=x[/tex]

Answer: [tex]\frac{4}{3}\pi (6)^3[/tex]

Step-by-step explanation:

The formula for calculate the volume of a sphere is:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Where "V" is the volume of the sphere and "r" is the radius of the sphere.

In this case the radius of the sphere is 6 units. Knowing this radius, you can substitute into the formula [tex]V=\frac{4}{3}\pi r^3[/tex]

Therefore, you get that the expression that represents the volume of this sphere is:

[tex]V=\frac{4}{3}\pi (6)^3[/tex]

Answer:

4/3π(6)3

Step-by-step explanation:

Answer:

6% tax

Step-by-step explanation:

6.89=6.5x

x=1.06

Answer

6%

Step-by-step explanation:

The Pythagorean Theorem is

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

Where a and b are legs and c is the hypotenuse.

If we had the measurements 27, 36, and 45...

[tex]a^2+b^2=c^2 \\ \\ 27^2+36^2=45^2 \\ \\ 729+1296=2025 \\ \\ 2025 = 2025[/tex]

So it is a right triangle because [tex]a^2+b^2=c^2[/tex]

The values of a, b, and c are given.

[tex]a=27 \\ b=36 \\ c=45[/tex]

Converse blanks: the sum of the legs squared is equal to the square of the hypotenuse; right.

a = 27, b = 36 (a and b can be switched), c = 45 --> the hypotenuse is always the longest side.

a² + b² = c²

Substitute: 27² + 36² = 45²

Simplify: 729 + 1296 = 2025

Simplify: 2025 = 2025

This is a right triangle because the sum of the lengths of the legs squared is equal to the length of the hypotenuse squared.

(also good note, the sides have a ratio of 3 : 4 : 5, which will always make a right triangle)

Answer:

D

Step-by-step explanation:

let y = f(x), that is

y = [tex]\frac{2x-3}{5}[/tex]

Rearrange making x the subject

Multiply both sides by 5

5y = 2x - 3 ( add 3 to both sides )

5y + 3 = 2x (divide both sides by 2 ) , then

x = [tex]\frac{5y+3}{2}[/tex]

Change y back into term of x, hence

[tex]f^{-1}[/tex](x) = [tex]\frac{5x+3}{2}[/tex] → D

D is the correct answer

Answer:  D) 10 sin (πx) - 5

Step-by-step explanation:

The range (maximum - minimum) is 5 - (-15) = 20

The amplitude (A) is range (20) ÷ 2 = 10

The vertical shift (D) is maximum (5) - amplitude (10) = -5

Of the given options, only A & D are candidates.  Now we need to decide if it is a cos graph (A) or a sin graph (D).  If we shift the graph up 5 units (to eliminate the vertical shift) , the graph would pass through the origin.  Thus it is a sin graph and the answer must be option D.

Answer:

B: 4

Step-by-step explanation:

#first

Answer:

A, 3

Step-by-step explanation:

The degree, otherwise known as the power, is 3.

Answer: 2 out of 14

Step-by-step explanation:

You have to do 2 plus 12 to get your total amount of shirts. Then since you only have 2 RED shirts the answer would be 2 out of 14.

Answer:

(f of g)(x)=f(g(x))=f(x-3)=e^(x-3)

The domain of a real exponential function is all real, and

the corresponding range is y>0, i.e. (0,+∞)

Step-by-step explanation:

Answer:

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

Answer:

C.

Mean= 4.9

Mean Absolute Deviation (MAD): 4.099173553719

Step-by-step explanation:

An outlier is a value that is very different from the other data in your data set. This can skew your results. As you can see, having outliers often has a significant effect on your mean and standard deviation. Because of this, we must take steps to remove outliers from our data sets.

outlier: 21

Answer:

the answer is C :D

Step-by-step explanation:

The quadratic equation in vertex form is f(x) = 0.4(x - 2)² + 5

How to determine the equation in vertex form

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

The graph

Where, we have the vertex to be

(h, k) = (2, 5)

A quadratic equation in vertex form is represented as

f(x) = a(x - h)² + k

So, we have

f(x) = a(x - 2)² + 5

Using the points, we have

a = 0.4

Substitute the known values into the equation

f(x) = 0.4(x - 2)² + 5

Hence, the equation in vertex form is f(x) = 0.4(x - 2)² + 5

Answer:

The volume of the mulch is [tex]528\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the mulch is equal to

[tex]V=Bh[/tex]

where

B is the area of the border of the mulch

h is the deep of the mulch

Find the area of the border B

The area of the border B is equal to the area of the complete square minus the area of the inside square

so

[tex]B=24^{2}-20^{2} = 176\ in^{2}[/tex]

we have

[tex]h=3\ in[/tex] -----> the deep of the mulch

substitute the values

[tex]V=(176)(3)=528\ in^{3}[/tex]

Answer:

see explanation

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = .....

r = [tex]\frac{-20}{8}[/tex] = [tex]\frac{50}{-20}[/tex] = - 2.5

Multiplying each term by - 2.5 gives the next term

50 × - 2.5 = - 125

- 125 × - 2.5 = 312.5

312.5 × - 2.5 = - 781.25

The next 3 terms in the sequence are - 125, 312.5, - 781.25

The common ratio is -2.5

Next 3 terms after 50 are -125, 312.5, -781.25

A sequence ( increasing or decreasing)  having a pattern that the next term is found by multiplying the previous term with a constant term called common ratio, is called a geometric sequence. Common ratio can be positive or negative.

The given sequence is 8, -20, 50......

The common ratio is   [tex]\frac{-20}{8}= - 2.5[/tex]

Next term after 50 = {50 x (-2.5)} = -125

Next term after -125 = {(-125) x (-2.5)} = 312.5

Next term after 312.5 = {312.5 x (-2.5)} = -781.25

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