What is the volume of this cereal box

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Answer:

  A

Step-by-step explanation:

The axis of symmetry of quadratic ax²+bx+c is x=-b/(2a). For the given equation, the axis of symmetry is ...

  x = -4/(2(3/2)) = -4/3

The only graph with its vertex at x=-4/3 is graph A.

_____

Additional comment

You can also make the correct choice by evaluating the equation at a couple of different values of x. Convenient ones are x= -1, or 0, or +1. The value at x=0 is the y-intercept, (0, -2), which seems to be a point on all of the graphs. The value at x=1 is 3/2+4-2 = 3.5, which looks like it is only seen on graph A.

Answer:  25% decrease

Step-by-step explanation:

80 - 60

-----------  =  20/80 = 1/4 OR 25%

   80

Hope this helped :)

Answer:

option A

A(-2,-3)

Step-by-step explanation:

make y subject of formula

x+2y=-8

2y=-8-x

y=(-8-x)/2

y=-4-x/2

when x=-2

y=-4-(-2)/2

=-4-(-1)

=-4+1

=-3

(-2,-3) is an ordered pair

Answer:

We observe that this is a GP  with:

The nth term is:

Answer:

$171.72

Step-by-step explanation:

$9.54 x 18

A commission is a percentage of total sales,

multiply the rate of commission by the total sales

Answer:

2 3/4

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

Suppose that we have a set of N values:

{x₁, x₂, ..., xₙ}

The median is the value in the middle, and the mean is calculated as:

[tex]M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}[/tex]

Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k"  (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)

Now we add 7 to all the values greater than the median

We subtract 7 to all values smaller than the median.

Then the median remains unchanged (because we did not add nor subtract anything to the median).

The new mean will be:

[tex]M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N} = \frac{(x_1 + x_2 + ... + x_n)}{N} = M[/tex]

So the mean does not change.

Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.

Finally, the standard deviation is computed as:

[tex]SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }[/tex]

Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)

Then the only value that does not have the same value in both the original and new data sets is the standard deviation.

Answer:

C, 0.30

Step-by-step explanation:

First, simplify.

[tex]\frac{15}{50}[/tex] = [tex]\frac{3}{10}[/tex]

Next, divide

3 ÷ 10 = 0.30 or 0.3

Have a great day!

Answer:

Step-by-step explanation:

Given that:

To Find:

We know that:

Where,

Finding the probability that a car arriving at this intersection will not fully stop:

⟶ P(E) = 15/50

Multiply by 2 with both numerator and denominator.

⟶ P(E) = (15 × 2)/(50 × 2)

⟶ P(E) = 30/100

⟶ P(E) = 0.30

Hence,

Answer:

A=-4, b=1

Step-by-step explanation:

add those two function together u will got:

a+b+(a-b)=-3+(-5)

2a=-8

A=-4

-4+b=-3

B=1

Answer:

if each tube of paints costs a dollar he will get 25 because of the 15 dollars added to the 10 dollars

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

1,2,3,4,6,9,12,18,36

Answer:

Ecological study

Step-by-step explanation:

When the basis for the conclusion of a study is done an a group or population level rather than on a person, single or individual basis, then we refer to this as an ecological study. In the scenario described above, relationship between ozone in Pennsylvania and the number of asthma cases was generalized and presented on the mean or average level rather than being compared in terms of individual figure. Hence, research studies of this type or nature are classed as ecological study.

Answer:

The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

Step-by-step explanation:

Inverse function:

Suppose we have a one-to-one function y = f(x). To find it's inverse, we exchange y and x, and then isolate y.

In this question:

[tex]y = 9x + 5[/tex]

Exchanging x and y:

[tex]x = 9y + 5[/tex]

Isolating y:

[tex]9y = x - 5[/tex]

[tex]y = \frac{x - 5}{9}[/tex]

[tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

Answer:

48 minutes

Step-by-step explanation:

Multiply

Answer:

73

Explanation

To find the average we need to find the mean. So you have

87,93,96, and 89. Add it up and you get 365. Next you have to divide it by how many numbers there are, so 365 divided by 5 and you get 73.

(I divided 365 by 5 because we are looking for the score she needs on the 5th quiz too.)

Answer:

hhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Answer:

The corn plant grew by 11.17 inches during week 2.

Step-by-step explanation:

7 and 1/3 inches tall at the end of Week 1.

The height at the end of week 1, as a simple fraction, is:

[tex]7 + \frac{1}{3} = \frac{3*7 + 1}{3} = \frac{22}{3}[/tex]

The corn plant was 18 1/2 inches tall at the end of Week 2.

At the end of week 2, the height will be of:

[tex]18 + \frac{1}{2} = \frac{18*2+1}{2} = \frac{37}{2}[/tex]

How many inches did the corn plant grow during Week 2?

Height at the end of week 2 subtracted by the height at the end of week 1. So

[tex]\frac{37}{2} - \frac{22}{3} = \frac{3*37-2*22}{6} = \frac{67}{6} = 11.17[/tex]

The corn plant grew by 11.17 inches during week 2.

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Answer:

  ΔLMN ~ ΔLFG; scale factor 7/3

Step-by-step explanation:

The ratios of side lengths, shortest to longest are ...

  FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)

  MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)

The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...

  MN/FG = 56/24 = 7/3

Answer:

State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1

Answer:

Step-by-step explanation:

Answer:

8.6 years

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

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Answer:

  L'(4, -3)

Step-by-step explanation:

The reflection over the horizontal line y=-1 effects the transformation ...

  (x, y) ⇒ (x, -2-y)

So, the coordinates of L are transformed to ..

  L(4, 1) ⇒ L'(4, -2-1) = L'(4, -3)

Answer:

84,000 cm³

Step-by-step explanation:

This is a prism with a trapezoidal base.

V = BH

where V = volume of prism, B = area of the base, H = height of the prism

For the trapezoid, the area is

A = ½(b1 + b2)h,

where A = area, b1 and b2 are the bases, and h is the height of the trapezoid.

V = ½(b1 + b2)hH

V = ½(60 cm + 45 cm) (20 cm)(80 cm)

V = 84,000 cm³

Answer:

110 degrees

Step-by-step explanation:

the answer is 110 degrees

add up everything and subtract it by 360 to get 110.

plz dont report. Can I have brainliest. I need it.

Answer:

we will add all the sides

40+128+×+82=360

250+×=360

×=360-250

x=110

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