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lesya692 [45]
3 years ago
7

Stefan did 1 push-up on Sunday, 2 push-ups on Monday, 4 push-ups on Tuesday, 8 push-ups on Wednesday, and 16 push-ups on Thursda

y. If this pattern continues, how many push-ups will Stefan do on Friday?
Mathematics
1 answer:
statuscvo [17]3 years ago
4 0

Answer:

32

Step-by-step explanation:

taste of change is by a factor of 2. it was 16 on Thursday. so 16x2 = 32

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An animator draws 120 cels to make a 5 seconds of a 12-second sequence of a film. How many more cels does she need to draw to co
s344n2d4d5 [400]

Answer:

She needs 168 more cels to draw to complete the film sequence

Step-by-step explanation:

120 Cells in 5 seconds

You want 12 seconds.

Ratio (Proportion)

120:5

Lets find the "unit rate" of the proportion.

120/5 = 24

So the unit ratio is 24:1

Now, we can deduce to it being:

120:5

240:10

264:11

288:12

She has 120 done.

So, 288-120 = 168.

She needs 168 more cels to draw to complete the film sequence

4 0
2 years ago
Find the length of diagonal AV in a three dimensional figure.​
coldgirl [10]

Although I'm going to answer this question, I have to point out that this problem is NOT stated clearly. The problem being we don't know if angle AMV is a right angle.

But I'm assuming it is and thus we need to use the Pythagorean theorem.

AV=\sqrt{5^2+12^2}

AV=13

Therefore answer is C. :D

8 0
3 years ago
An offshore lighthouse is 2 kilometers from a Coast Guard station C and 2.5 kilometers from a hospital H near the shoreline. If
dangina [55]

Answer:

  4.3 km

Step-by-step explanation:

The law of cosines can be used to find the desired distance. If we call the lighthouse position point L, then we have ...

  CH² = LC² +LH² -2·LC·LH·cos(L)

  CH² = 2² +2.5² -2·2·2.5·cos(143°) = 10.25 -10cos(143°) ≈ 18.2364

  CH ≈ √18.2364 ≈ 4.27 . . . . km

The distance CH is about 4.3 km.

5 0
3 years ago
Solve system of equations<br><br> LaTeX: \begin{cases} -3x-4y=-14 \\ 9x+2y=22 \end{cases}
bekas [8.4K]

let's do so using substitution

\bf \begin{cases} -3x-4y=-14\\ 9x+2y=22 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{solving for "y" in the 1st equation}~\hfill }{-3x-4y=-14\implies -3x+14-4y=0} \\\\\\ -3x+14=4y\implies \cfrac{14-3x}{4}=\boxed{y} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting "y" in the 2nd equation}}{9x+2\left( \boxed{\cfrac{14-3x}{4}} \right)=22}\implies 9x+\cfrac{14-3x}{2}=22

\bf \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( 9x+\cfrac{14-3x}{2}\right)=2(22)}\implies 18x+(14-3x)=44\implies 15x+14=44 \\\\\\ 15x = 30\implies x = \cfrac{30}{15}\implies \blacktriangleright x = 2\blacktriangleleft \\\\\\ \stackrel{\textit{since we know that }}{\cfrac{14-3x}{4}=y}\implies \cfrac{14-3(2)}{4}=y\implies \cfrac{14-6}{4}=y\implies \blacktriangleright 2 = y \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (2,2)~\hfill

8 0
3 years ago
If the radius of a circle is 2 inches, what is the area of the circle? Use 3.14 for pi
ludmilkaskok [199]

Answer:

12.56 in squared

Step-by-step explanation:

the formula for area is      radius x radius x pi

So you do 2x2x3.14

(I would just do 4x3.14)

And then you get 12.56

7 0
3 years ago
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