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Alla [95]
3 years ago
14

PLEASE HELP

Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0

Answer:

  • t = 2.7 seconds
  • t = 4.9 seconds

Step-by-step explanation:

<h3>Given </h3>

Function

  • s(t) = - 16t2 + 122t
<h3>To find</h3>
  • Value of t when s(t) = 213
<h3>Solution</h3>
  • 213 = -16t^2 + 122t
  • 16t^2 - 122t + 213 = 0
  • t = (122 ± √(-122)² -4*16*213)/2*16
  • t = (61 ± √313)/16
  • t = 2.7 seconds, t = 4.9 seconds
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Kim has an ice cream cone with a scoop of ice cream. the cone is completely filled with ice cream and has half a sphere on top.
yan [13]

Answer:

113.12 cubic inches

Step-by-step explanation:

Volume of icecream cone

= Volume of cone + Volume of hemisphere

= 1/3× π × r^2 × h + 2/3 × π × r^3

= 1/3 × 22/7 × 9 × 6 + 2/3 × 22/7 × 27

= 113.12 cubic inches

6 0
3 years ago
What's the length of side b in the figure?
wariber [46]
D. because 7
{7}^{2}  + 13 {}^{2}  = \sqrt{}  218
7 0
3 years ago
Write the equation of a line in slope intercept form that is parallel to the line passing through (-6,2) And (-4,-3) but passes
adelina 88 [10]

The linear equation that has the desired characteristics is given by:

y = -2.5x.

The graph is given at the end of this question.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

If two lines are parallel, they have the same slope, which is given by change in y divided by change in x, hence:

m = (-3 - 2)/(-4 - (-6)) = -5/2 = -2.5.

Hence:

y = -2.5x + b.

The line also passes through (2,-5), that is, when x = 2, y = -5, hence we use it to find b.

-5 = -2.5(2) + b

b = 0.

Hence the equation is:

y = -2.5x.

The graph is given at the end of this question.

More can be learned about linear equations at brainly.com/question/24808124

#SPJ1

8 0
2 years ago
An author works on a new book and after writing a few chapters, begins a new plan to write 600 words per day. On the fifth day o
kari74 [83]
1,500
Explanation
In y=600x + b the y is the total words and the x is the amount of days. We have the days (5 days) and we have the total amount of words. So we have to find b which is what they started off with. So what we can do is try 600words multiplied by 5 days. We should get 3000. So now we known in the span of 5 days they wrote 3000 words. Now we can subtract 4,500 and 3000, which gives us 1500. The author started off with 1,500 words. To check we just add the info in y=600(5)+1500 which gives us 4,500 .

Hopes that helps
5 0
3 years ago
Amelia works for 6 hours and earns $48. The graph shows the relationship between the number of hours Amelia works, x, and the to
Volgvan

Answer:

Option B.(1,8)

Step-by-step explanation:

Let

x ----> the number of hours worked

y ---->the amount earned in dollars

we know that

To find out the unit rate divide the total amount earned by the total hours worked

so

\frac{\$48}{6}=\$8\ per\ hour

That means

For x=1 hour, y=$8

therefore

The point that represent the unit rate is (1,8)

4 0
4 years ago
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