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Ilia_Sergeevich [38]
3 years ago
13

Need help from the same last question. (I dont need to do #10)

Mathematics
1 answer:
AysviL [449]3 years ago
8 0
8. The y-intercept is -10. You can find this by just seeing where the line would hit the y-axis. This is basically the starting point so the Scuba Diver's decent started at -10m.

9. You have the y-intercept so put that in slope-intercept form. y=mx+b

y=mx - 10

Now find the slope by picking two points and using the slope formula. I'll use 
(30,-6) and (50,-4), and then plug in the values. 30 = x1, -6 = x2, 50 = x2, -4 = -4. Simplify.

m= y2-y1     -4 - (-6)       2            1
      -------- = ----------- =  --- / 2 =   --- 
      x2-x1      50 - 30      20          10
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A smoke jumper jumps from a plane that is 1700 ft above the ground. The function y = -16t2 + 1700 gives the jumper's height y in
lakkis [162]

Answer: (A) 6.6 sec (B) 6.89 sec

<u>Step-by-step explanation:</u>

    y    = -16t² + 1700

 1000 = -16t² + 1700

 <u>-1700</u>     <u>         -1700  </u>

  -700 = -16t²

 <u> ÷-16  </u>   <u>÷-16 </u>

 43.75 = t²

√43.75 = √t²

   6.6 = t

***********************************

    y    = -16t² + 1700

  940 = -16t² + 1700

 <u>-1700</u>     <u>         -1700  </u>

  -760 = -16t²

 <u> ÷-16  </u>   <u>÷-16 </u>

  47.5 = t²

√47.5 = √t²

  6.89 = t

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Clarge%7B%5Cbold%20%5Cred%7B%20%5Csum%20%5Climits_%7B8%7D%5E%7B4%7D%20%7Bx%7D%5E%7B2%7D%2
kiruha [24]

Answer:

No solution

Step-by-step explanation:

We have

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

For the sum it is not correct to assume

$\sum_{x=8}^{4}x^2= 8^2 + 7^2+6^2+5^2+4^2 = 64+49+36+25+16 = 190$

Note that for

$\sum_{x=a}^b f(x)$

it is assumed a\leq x \leq b and in your case \nexists x\in\mathbb{Z}: a\leq x\leq b for a>b

In fact, considering a set S we have

$\sum_{x=a}^b (S \cup \varnothing) = \sum_{x=a}^b S + \sum_{x=a}^b \varnothing $ that satisfy S = S \cup \varnothing

This means that, by definition \sum_{x=a}^b \varnothing = 0

Therefore,

$\sum_{x=8}^{4}x^2 = 0$

because the sum is empty.

For

9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)

we have other problems. Actually, this case is really bad.

Note that \cos^2(\infty) has no value. In fact, if we consider for the case

$\lim_{x \to \infty} \cos^2(x)$, the cosine function oscillates between [-1, 1] , and therefore it is undefined. Thus, we cannot evaluate

9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)

and then

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

has no solution

7 0
3 years ago
Brian drives 215 miles at an average speed. He then travels 75 more miles at a speed
Sedaia [141]

His average speed for the first trip is 43 mph

Since Brian's average speed is x and he travels the first part for 215 miles in time t.

So, his distance d = xt

Also, the travels 75 more miles at a speed of 15 mph.

Since distance = speed time, the time he takes to cover this distance is

t' = distance/speed = 75 mi/15 mph = 5 hours

Since he covers both distances in the same time, we have that t = t' = 5 hours.

So, his average speed for the first trip x = d/t

= 215 mi/5 h

= 43 mph

His average speed for the first trip is 43 mph

Learn more about average speed here:

brainly.com/question/13605708

6 0
3 years ago
A rectangular cardboard sheet has a length that is 1.5 times greater than the width. Is it possible to make a topless box with a
Andreyy89

Answer:

Yes, it is possible  to make a topless box with a volume of 6080 cm3 out of this cardboard sheet.

The dimensions of the cardboard sheet are 54 cm x 36 cm

Step-by-step explanation:

Let

x ----> the length of the cardboard sheet

y ----> the width of the cardboard sheet

we know that

x=1.5y ----> equation A

The volume of the topless box is

V=LWH

where

V=6,080\ cm^3

L=x-2(8)=(x-16)\ cm

W=y-2(8)=(y-16)\ cm

H=8\ cm

substitute

6,080=(x-16)(y-16)8 ----> equation B

substitute equation A in equation B

6,080=(1.5y-16)(y-16)8

6,080/8=(1.5y-16)(y-16)

760=1.5y^2-24y-16y+256

760=1.5y^2-40y+256

1.5y^2-40y+256-760=0

1.5y^2-40y-504=0

Solve for y

Solve the quadratic equation by graphing

The solution is y=36 cm

see the attached figure

Find the value of x

x=1.5y ----> x=1.5(36)=54\ cm

therefore

Yes, it is possible  to make a topless box with a volume of 6080 cm3 out of this cardboard sheet.

The dimensions of the cardboard sheet are 54 cm x 36 cm

7 0
3 years ago
Read 2 more answers
What is 33 in expanded form
ZanzabumX [31]
33 expanded form = 30+3
7 0
3 years ago
Read 2 more answers
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