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3 years ago

WILL MARK BRAINLIEST!!!!!

Mathematics

1 answer:

RUDIKE [14]3 years ago

6 0

The data is larger for intermediate values of x, so the parabola opens downward. That leaves only the 2nd and 4th choices, where the x² coefficient is negative.

To determine which of those is appropriate, it is only necessary to consider x=1. The 2nd choice will give a y-value near 100; the 4th choice will give a y-value near 250.

The fourth choice is appropriate:

... y = -9.16x² +73.04x +183.3

_____

Alternatively, you can consider that for the x-coordinate of the vertex to be positive (it's about +4), the coefficients of the x² and x terms must have opposite signs. Using this consideration, you don't even need to evaluate the expression to determine that the 4th choice is the correct one.

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FIND THE AREA OF THE SHADED REGION.

Nataly_w [17]

This problem can be a bit confusing, so let's break it down:

First, let's take the area of the square (A = b · h):

A = 15 · 15

A = 225 cm²

Now comes the confusing part:

We can tell that the non-shaded area is 1/4 of a circle, so, if we take 1/4 of the area of a circle, we can subtract its area from the area of the square:

A = πr²

A = 15²π

A = 225π

1/4 A = 225π / 4

New Area = 56.25π

Or... about 176.7

Since we have both of the areas, all we have to do is subtract:

225 - 176.7 =

48.3.

Your final answer is 48.3 cm²

4 0

3 years ago

Which expression is equivalent to d – 60 – 3d?

Vanyuwa [196]

Answer:

it would be 2d - 60

Step-by-step explanation:

Because if you susbtract d from 3d it would be 2d cause d is like a number in this unit

7 0

3 years ago

Write an explicit formula for the sequence 1,4,7,10... Then find a14.

Harlamova29_29 [7]

Answer:

The formula is $a_n = 3n-2$

The 14th term is 40, in other words, $a_{14} = 40$

========================================================

Explanation:

The given sequence is 1, 4, 7, 10, ...

Subtract each adjacent term:

4-1 = 3
7-4 = 3
10-7 = 3

This shows that each term is increasing by 3. This is the common difference, so d = 3.

The first term is $a_1 = 1$

The nth term of the arithmetic sequence is...

$a_n = a_1 + d(n-1)\\\\a_n = 1 + 3(n-1)\\\\a_n = 1 + 3n-3\\\\a_n = 3n-2\\\\$

As a check, let's plug in say n = 3 to find that:

$a_n = 3n-2\\\\a_3 = 3(3)-2\\\\a_3 = 9-2\\\\a_3 = 7\\\\$

The third term is 7, which matches with the sequence given to us. I'll let you confirm the other values.

-----------

We'll repeat this idea but now for n = 14 to find the 14th term of the sequence.

$a_n = 3n-2\\\\a_{14} = 3(14)-2\\\\a_{14} = 42-2\\\\a_{14} = 40\\\\$

The 14th term is 40.

You can make a table of values to help confirm the answer. In the first column you'll have the values of n (1,2,3,...) all the way up to 14. The second column will consist of the sequence 1, 4, 7, 10, ... each time going up by 3 until you reach the 14th term of 40.

7 0

3 years ago

You collected the following data about the colors of dresses at the prom:

cluponka [151]

Sum=14 + 37 + 22 + 56 + 33 = 152 => 100%
red = 14 => x%

100% / 152 = x / 14
x = 100 × 14 / 152
x = 1400 / 152
x = 9,21% = 9%

6 0

3 years ago

Read 2 more answers

Suppose 5 out of every 18 of the people who like to work out have a gym membership. At the same rate, in a group of 216 people,

Jlenok [28]

Answer:

60 people