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svetoff [14.1K]
3 years ago
6

License plates in a particular state display 22 letters followed by 33 numbers. how many different license plates can be manufac

tured for this​ state?
Mathematics
1 answer:
NikAS [45]3 years ago
4 0
Since there are 26 letters in the English language alphabet, it would be 26*22=572.
Since there are 10 numbers, you would be 10*33= 330
Afterwards, to find all combinations, it would be 330*572= 188,760

The answer is 188,760 different license plates
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Which zero pair could be added to the function fon) = x2 + 12x + 6 so that the function can be written in vertex form?
Oksanka [162]

ANSWER

36,-36

EXPLANATION

The given function is:

f(x) =  {x}^{2}  + 12x + 6

To write this function in vertex form;

We need to add and subtract the square of half the coefficient of x.

The coefficient of x is 12.

Half of it is 6.

The square of 6 is 36.

Therefore we add and subtract 36.

Hence the zero pair is:

36, -36.

The correct answer is D.

4 0
3 years ago
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A grocery store stocks different flavors of peppermint sticks in 15 jars. The number of sticks in each jar varies from 0 to 49.
Iteru [2.4K]

Answer:

The correct answers are:

A. The Vertical axis should be labelled as the Number of Jars for Each Flavour

B. an interval of 7 could be appropriate

Step-by-step explanation:

A. The number of jars for each flavour is the dependent variable against the flavour type, which is the independent variable, hence it is displayed on the vertical axis to show the height of the bars.

B. since the number of sticks in a jar vary from 0 to 49, dividing 49 by 7 will give 7 without a remainder, hence, an interval of 7 will be ideal for the plot, nd a total of 7 bars will be plotted. Intervals are: 0-7, 8-14, 15-21, 22-28, 29-35, 36-42, 43-49.

3 0
3 years ago
A trapezoidal prism undergoes a dilation. The surface area of the pre-image is 35 m². The surface area of the image is 315 m². T
Westkost [7]

The original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

<h3>How does dilation affect length, area, and volume of an object?</h3>

Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.

So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:

<u><em>L = k × M</em></u>

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by <u><em>k²</em></u><em> </em>to get each other corresponding quantity from their similar figures' quantities.

<u><em>So </em></u><u><em>area </em></u><u><em>of </em></u><u><em>first figure </em></u><u><em>= k² × area of second figure</em></u>

Similarly,

<u><em>Volume </em></u><u><em>of first figure = k³ × volume of second figure.</em></u>

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

For this case, we're given that;

  • Surface area of pre-image = 35 m²
  • Surface area of dilated image = 315 m²
  • Height of pre-image = 5.8 m
  • Height of dilated image.

Let the scale fator of dilation be k.

Then:

<u><em>So area of pre-image = k² × area of dilated image</em></u>

Thus, we get:

35 = k^2 \times 315\\\\k = \sqrt{\dfrac{35}{315}} = 1/3

(took positive root as scaling is done by non-negative factors as only magnitude matters mostly)

Thus, we get:

Height of pre-image = (1/3) × Height of dilated image (say h)

5.8 = (1/3) \times h\\h = 3 \times 5.8 = 17.4 \rm \: m

Thus, the original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

Learn more about dilation here:

brainly.com/question/3266920

4 0
2 years ago
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Multiplying binomials.<br> (2x+7)(3x-4)<br> step by step please
amm1812
2x * 3x = 6x^2
2x * (-4) = 8x
7 * 3x = 21x
7 * (-4) = -28

6x^2 + 29x - 28
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3 years ago
What is 5/6 divided by 1 5/6
Lana71 [14]

Answer:

0.45454545454, also known as 0.45 repeated

Step-by-step explanation:

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3 years ago
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