3 years ago

Show work / explain it

Mathematics

1 answer:

notsponge [240]3 years ago

6 0

Answer:

-4

Step-by-step explanation:

look at the screenshot

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There is $5691 in a store safe the manager deposit $2815 of that money into the bank choose the best estimate for the amount of

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5691 minus 2815 is 2876

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3 years ago

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Find an equation of the line that has intercepts (1,0) and (0,4).

MissTica

Answer:

y=-4x+4

Step-by-step explanation:

Slope=(4-0)/(0-1)=

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-4

(0,4)- y-intercept.

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a total of 64 musicians entered a music contest and 5/8 of these musicians are guitarists. some of the guitarists play jazz solo

bogdanovich [222]

64 ÷ 8 = 8
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4 years ago

An object has a constant acceleration of 30 ft/sec2, an initial velocity of -10 ft/sec, and an initial position of 4 ft. Find th

Pavel [41]

Let $a(t),v(t),s(t)$ be the acceleration, velocity, and position functions, respectively. Then

$v(t)=s'(t)$
$a(t)=v'(t)=s''(t)$

Since the acceleration is a constant 30 ft/s^2, you have

$a(t)=s''(t)=30$
$\displaystyle\int s''(t)\,\mathrm dt=\int30\,\mathrm dt$
$\displaystyle s'(t)=v(t)=30t+C_1$

You're told that the initial velocity is $v(0)=-10$ , so you get

$-10=30(0)+C_1\implies C_1=-10$

Now $s'(t)=30t-10$ . Integrating once more, you find

$\displaystyle\int s'(t)\,\mathrm dt=\int(30t-10)\,\mathrm dt$
$s(t)=15t^2-10t+C_2$

and since $s(0)=4$ , you get

$4=15(0)^2-10(0)+C_2\implies C_2=4$

which means the exact position function is

$s(t)=15t^2-10t+4$

7 0

4 years ago

Show work / explain it ​

Show work / explain it