sarah did 5 math exams and scored 54, 45, 76, 33, 76. what is the difference between the mean and the median?

Answer:

(3x−5)(3x+1)

Step-by-step explanation:

Evaluate

9x2−12x−5

Rewrite the expression

9x2+3x−15x−5

Factor out 3x from the expression

3x(3x+1)−15x−5

Factor out −5 from the expression

3x(3x+1)−5(3x+1)

Solution

(3x−5)(3x+1)

Answer:

(3x - 5)(3x + 1)

Step-by-step explanation:

1. Add the numbers

9x² - 12x - 5 + 0

9x² -12x - 5

2. Use the sum-product pattern

9x² - 12x - 5 + 0

9x² + 3x - 15x - 5

3. Common factor from the two pairs

9x² + 3x - 15x - 5

3x(3x + 1) - 5(3x + 1)

4. Rewrite in factored form

3x(3x + 1) - 5(3x + 1)

(3x - 5)(3x + 1)

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The time that would be needed for the trip is 2 hours.

It is important to note that the formula that can be used for calculating the time taken will be:

Time = Distance / Speed

where

Distance = 9 1/3

Speed = 4 2/3

Therefore time will be:

Time = Distance / Speed

= 9 1/3 ÷ 4 2/3

= 28/3 ÷ 14/3

= 28/3 × 3/14

= 2 hours

The time is 2 hours.

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Answer:

Either a or d

Step-by-step explanation:

Because they show the data correctly it is A trust me

Answer: Scatterplot A

Step-by-step explanation:

edGE 23

The Trigonometric function sin(A - B) = (3 - 2[tex]\sqrt{14}[/tex]) ÷ 12

The easiest way is to use the Pythagorean Identity to find both cos A and sin B. Then use the sum/difference angle identity for sine.

The trigonometric Pythagorean identity tells us that,

[tex]Sin^{2}[/tex]θ + [tex]cos^{2}[/tex]θ = 1

which follows directly from the geometric identity for right triangles and the fact that,

sinθ = y/r and cosθ = x/r

If r is the distance (x,y) is from the origin, then

[tex]x^{2}[/tex] + [tex]y^{2}[/tex] = [tex]r^{2}[/tex]

[tex](x/r)^{2}[/tex] + [tex](y/r)^{2}[/tex] = 1(divide both sides by [tex]r^{2}[/tex])

[tex]cos^{2}[/tex]θ +  [tex]Sin^{2}[/tex]θ  = 1

Anyway, if we know sin A (and which quadrant it ends in), we can solve for cos A and vice versa:

[tex]Sin^{2}[/tex]θ + [tex]cos^{2}[/tex]θ = 1

[tex](1/3)^{2}[/tex] +  [tex]cos^{2}[/tex]θ = 1

⇒ cos A = [tex]\sqrt{1-(1/3)^{2} }[/tex] = [tex]\frac{2\sqrt{2}}{3}[/tex]

cosθ is always negative in this quadrant.

Therefore,

cos A = -[tex]\frac{2\sqrt{2} }{3}[/tex]

Similar reasoning can be done with cos B = [tex]\frac{3}{4}[/tex] to show that sin B = -[tex]\frac{\sqrt{7} }{4}[/tex]

Now that we have all the necessary elements, we can use the sum/difference angle identity:

Sin(A-B) = sin A cos B - cos A sin B

= ( [tex]\frac{1}{3}[/tex] × [tex]\frac{3}{4}[/tex] ) - ( (-[tex]\frac{2\sqrt{2} }{3}[/tex] ) × (-[tex]\sqrt{7[/tex]/4) )

= (3 ÷ 12) - (2[tex]\sqrt{14}[/tex] ÷ 12)

= (3 - 2[tex]\sqrt{14}[/tex]) ÷ 12

We get sin(A - B) = (3 - 2[tex]\sqrt{14}[/tex]) ÷ 12

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Answer:

Step-by-step explanation:

$y = -16x^2 + 240x + 115$

$= -16x^2 + 240x + 120 - 5$

$= -16x^2 + 240x + 120 - 5x - 5x$

$= -16x^2 + 240x + 120 - 10x - 5x$

$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2$

$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x$

$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x + x -x$

$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x + x -x + 3 - 3$

$= -16x^2 + 240x + 120 - 10x - 5x + x^2 - x^2 + 2x - 2x + x -x + 0

Answer:

33 Hours.

Step-by-step explanation:

Their hourly receipts are $23, and their hourly operating costs are $5. So you would subtract the hourly receipts from the hourly operating costs.

23 - 5 = 18

Then you would take the new number and divide the money spent on equipment by the money earned an hour.

594 / 18 = 33

Hope this helps! :)

The numbers round to 56.8 when rounded to the nearest tenth are 56.809, 56.795, and 56.832 respectively.

What is rounding decimals?

The term "rounding decimals" describes the accurate rounding of decimal figures. To the nearest whole, tenth, or hundredth, we can round decimals.

The next place value on the right should be used to round a number to the closest tenth (the hundredths). Simply take away all the digits to the right if it's 4 or fewer. Remove all the digits to the right after adding 1 to the digit in the tenth position if the number is 5 or above.

We need to find the value that rounds to the nearest tenth which results in 56.8

Now, we check all options one by one and rounded them to the nearest tenth

56.85 = 56.9 (rounded to the nearest tenth)

56.809 = 56.8 (rounded to the nearest tenth)

56.749 = 56.7  (rounded to the nearest tenth)

56.08 = 56.1  (rounded to the nearest tenth)

56.795 = 56.8 (rounded to the nearest tenth)

56.832 = 56.8 (rounded to the nearest tenth)

56.72 = 56.7  (rounded to the nearest tenth)

Hence, the required answers are 56.809, 56.795, and 56.832.

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Answer:

$500

Step-by-step explanation:

400/40 = 10.  This gives us her hourly rate

50 x 10 = 500

The true statements are:

C. . A line segment consists of two endpoints and all the points between

D. A line has two endpoints.

A line segment is bounded by two distinct points on a line.

How to know which statement is true?

From the definition,.

Also, we know that through two points one and only one line can pass .

Therefore, A line has two endpoints.

So, option C and D are correct.

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Answer:

(9x-2)(9x+2) is the correct answer

The perimeter of the square can be expressed as either S+S+S+S or  4×S

Perimeter is the distance around the edge of a shape. It can be found by adding up the side lengths of the shapes

Given: a square with a side length of S. Thus, the perimeter can be expressed as:

Perimeter = S + S + S + S = 4S

Since there are 4 equal sides each having a length of S. Thus, we can also write perimeter as:

Perimeter = 4 × S = 4S

Therefore, we can conclude the same expression are the same since they both have the same value of 4S

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Answer:

Exact Form:

7/8

Decimal Form:

0.875

Answer:

a take 2 hour to plant so flower bulbs if they are working together how long should it takes to plant 150 bulb? solving the question

The number of pounds of grapes is 24 sold and the number of pounds of apples sold is 30.

Given that,

Apples and grapes are sold at Arianys' farm stand. The price per pound for apples is $4 while the price per pound for grapes is $3.75. 64 pounds of apples and grapes were sold for a total profit of $251.75 for Arianys.

We have to find the number of the sold apples and pounds of grapes should be calculated.

a declaration that two mathematical expressions' values are equal (represented by the symbol =).

We get the equations as,

3.75x+4y=251.75

y=-0.93x+62.93---->equation(1)

x+y=64

y=-x+64------>equation (2)

We get the points as

For equation (1),

(0,62.93) and (67.66,0)

For equation (2),

(0, 64) and (64,0)

If we draw a graph we get 2 lines intersect at a point (24, 30).

Therefore, The number of pounds of grapes is 24 sold and the number of pounds of apples sold is 30.

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m∠W = 33.8° , using inverse trignometric ratio.

What do you mean by inverse trignometric functions?

The sine, cosine, tangent, cotangent, secant, and cosecant functions are the fundamental trigonometric functions. Inverse trigonometric functions are just the inverse functions of these functions. They can also be referred to as cyclometric functions, antitrigonometric functions, or arcus functions. Trigonometry's inverse functions are used to find the angle for any trigonometric ratio.

It is given that VU = 2 units and VW = 3 units and VUW is a right angle triangle , right angled at V.

Using the ratio of tanW,

As we know tanA = P/B where P is the perpendicular and B is the base

In the given triangle VUW,

tanW = VU/VW = 2/3

W = [tex]tan^{-1}[/tex](2/3) = [tex]tan^{-1}[/tex](0.67) = 33.8 degree

Therefore, m∠W = 33.8°

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The minimum dimensions to minimize the amount of material is 15.87 x 15.87 x 15.87 inch.

We need to know about the minimum function to solve this problem. The minimum function can be defined as the minimum value of the variable. It can be calculated by the derivative of the function. The minimum function can be written as

f'(s) = 0

where f'(s) is the derivative function

From the question above, the given parameter is

V = 4000 inch³

The cubic volume can be written as

s² x h = 4000

where s is the length of the base area and h is the height of the box.

the minimum value of the  box refer to its surface area, hence

f(s) = 4sh + 2s²

f'(s) = 4h + 4s

4h + 4s = 0

h = s

It means that the length of the base area and the height must have the same dimension. The minimum volume should have a cube shape

V = s³

s³ = 4000

s = 15.87 inch

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Answer:

2.9 days

Step-by-step explanation:

Need days / mile

 67 days / 600 mi = .1116666  day/mile

.1116666 day/mi  * 26.4 mi  = 2.948 day    ~ 2.9 days

OR

Miles per day

  600 mi / 67 day = 8.9552 mi / day

   26.4 mi  /  (8.9552 mi/day) = 2.948     ~ 2.9 day

"1/2BH" represents the formula for finding out the area of the triangle.

What is the area of the triangle?

In a two-dimensional plane, the area of a triangle is the region enclosed by it. As we all know, a triangle is a closed shape with three sides and three vertices. Thus, the area of a triangle is the total space occupied by the triangle's three sides. The general formula for calculating a triangle's area is half the product of its base and height.

The given formula is 1/2BH

so this is the formula for finding out the area of the triangle where 'B' is the base of the triangle and H is the height of the triangle.

Hence, "1/2BH" represents the formula for finding out the area of the triangle.

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The transformations that would map triangle D''E''F'' onto triangle DEF are given by:

The transformations to map triangle DEF into triangle D''E''F'' is given by:

The dilation means that the coordinates of each vertex of the figure are multiplied by the scale factor.

The dilation from DEF to D'E'F' has a scale factor of 4, hence the inverse dilation will have a scale factor of:

1/4.

Then the inverse translation is applied, as follows:

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The required equation of the line is y = (7/4)x + 2.

A linear equation is defined as an equation in which the highest power of the variable is always one.

The given coordinate of the point on the line is ; (-4, -5) and the slope is 7/4

Let the required equation of the line is

⇒ y - y₁ = m [x -x₁]

x₁ = -4, y₁ = -5 and m = 7/4

Substitute values in the equation, we get

y - (-5)= (7/4)(x - (-4))

y + 5 = (7/4)(x + 4)

y + 5 = (7/4)x + (7/4)4

y = (7/4)x + 7 - 5

y = (7/4)x + 2

Therefore, the required equation of the line is y = (7/4)x + 2.

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[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{8.5})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{3.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3.5}-\stackrel{y1}{8.5}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-2)}}} \implies \cfrac{-5}{0 +2}\implies -\cfrac{5}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8.5}=\stackrel{m}{- \cfrac{5}{2}}(x-\stackrel{x_1}{(-2)}) \implies y -8.5= -\cfrac{5}{2} (x +2) \\\\\\ y-8.5=-\cfrac{5}{2}x-5\implies y=-\cfrac{5}{2}x-5+8.5\implies {\Large \begin{array}{llll} y=-\cfrac{5}{2}x+3.5 \end{array}}[/tex]

8 * 10^9 is 8000000000

just 9 zeros to the 8

Answer:

180

Step-by-step explanation:

13 X 8 = 104 --> 104 + 76 = 180

The value of fraction 1/2 multiplied by 3/4 is 3/8 by multiplication of fractions.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. A fraction only informs us of the number of components that make up the total. The slash that is inserted between the two numbers identifies a fraction. The numerator is the highest number, while the denominator is the lowest number. 1/2, for instance, is a fraction. A fraction is a number that is a component of a whole.

Here,

1/2 of 3/4

=1/2*3/4

=3/8

By using fractional multiplication, the result of 1/2 times 3/4 is 3/8.

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The amount that Ms. Takata has left to spend is $100.26  .

In the question ,

it is given that ,

total amount that Ms. Takata can spend on redecorate her room = $480

the cost of 1 curtain is = $48.25

the cost for 3 curtain = 3*48.25 = 144.75

the cost of dresser = $234.99

the amount left to spend can be represented by

the amount left to spend = total amount - ( cost of 3 curtain + cost of dresser)

= 480 - (144.75 + 234.99)

= 480 - 379.74

= 100.26

Therefore , The amount that Ms. Takata has left to spend is $100.26  .

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Answer:

102

7.43 Answer by question

The equation of line possible solution sets of the equation are all the points that lie on the graph of this function.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is the line y = 6x - 11

Plot the graph on the equation. The coordinates on the line plotted represents all the coordinates that are the solution for the equation -

y = 6x - 11

Therefore, the equation of line possible solution sets of the equation are all the points that lie on the graph of this function.

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Equation shows  identity property of multiplication is (a + bi) × 1 = (a + bi)

What is Identity property of multiplication?

The identity property of multiplication says that the product of 1 and any number is that number.

We know, Identity property of multiplication states that

"the product of 1 and any number is that given number".

We know that every complex number have two parts one is real and other is imaginary.

If a is real number and b is imaginary  part then by definition

(a + bi) × 1 = (a + bi).

1. Uses Distributive Property of Multiplication.

2. Zero product property.

3. Commutative property of multiplication

4. Identity property of multiplication.

Hence, equation shows identity property of multiplication is (a + bi) × 1 = (a + bi)

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Step-by-step explanation:

-12+6xz is equivalent to 6(-2 + xz) or 6(xz - 2)