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fgiga [73]
3 years ago
11

By 2 2 1 S ut  at , where S is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time. Whi

ch equation represents a in terms of the other variables?
Mathematics
1 answer:
slamgirl [31]3 years ago
8 0

Answer:

Step-by-step explanation:

Given the equation  of motion;

S = ut + 1/2 at² where;

u is the initial velocity,

a is the acceleration, and;

t is the time.

We are to express a in terms of u, t and S

Making a the subject of the formula;

S = ut + 1/2 at²

S-ut = 1/2at²

2(S-ut) = at²

a = 2(S-ut)/t²

Hence the acceleration a in terms of other variables is expressed as a = 2(S-ut)/t²

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please help!!! the study conducted was 6 days long: there was 72mm of plant food and it decreased an equal amount each day.
Anuta_ua [19.1K]

Answer:

f(x) = 72 - 12x

Step-by-step explanation:

No. of days of study = 6

Amount of food to use for the 6 days = 72 mm

Given that equal amount of food was used each day, amount used per day = \frac{72}{6} = 12 mm

This would enable us derive a function for the amount of food remaining f(x), which can be expressed as a function of the number of days that have passed, (x).

Thus, we would have:

f(x) = 72 - 12x

Let's check if this equation expresses the relation of the function well.

At the end of day 1, if we used, 12mm, we would have 72 - 12 = 60mm of food remaining.

If we replace x in the equation we derived, we would get the same 60mm as the amount of food remaining.

If you try 2, 3, 4, 5 days, you'd get same thing.

At the end of the study, after the 6th day, the food would remain nothing.

Replace 6 for x in the relation function derived, you'd get a value of 0.

6 0
3 years ago
PYTHAGORAS THEROM AND TRIGONOMETRY RATIO​
marysya [2.9K]

Answer:

1) ΔACD is a right triangle at C

=> sin 32° = AC/15

⇔ AC = sin 32°.15 ≈ 7.9 (cm)

2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:

AB² = AC² + BC²

⇔ AB² = 7.9² + 9.7² = 156.5

⇒ AB = 12.5 (cm)

3)  ΔABC is a right triangle at C

=> sin ∠BAC = BC/AB

⇔ sin ∠BAC = 9.7/12.5 = 0.776

⇒ ∠BAC ≈ 50.9°

4) ΔACD is a right triangle at C

=> cos 32° = CD/15

⇔ CD = cos32°.15

⇒ CD ≈ 12.72 (cm)

Step-by-step explanation:

7 0
3 years ago
Determine if is y=3x^2+2x-3 linear, quadratic, or exponential.
podryga [215]

Answer:

it is quadratic

Step-by-step explanation:

a quadratic graph should look like this

MARK BRAINIEST IF IT HELPS

6 0
2 years ago
Francis earns $3.50 an hour mowing lawns. He also gets a $10.00 a week allowance. Bella earns $5.25 an hour babysitting and spen
Alika [10]
3.5h+10=5.25h-11
21=1.75h
12=h

3.5(12)+10=5.25(12)-11
52=52
8 0
3 years ago
Subtract using the number line -3/5 - (-2/5) (picture provided)
lara31 [8.8K]

Answer:

<h2>-1/5</h2>

Step-by-step explanation:

Starting at -3/5 you need to subtract -2/5.

When you subtract a negative number, the sign flips and you add instead. Often, you are taught that two similar signs means add and two opposite signs mean minus.

<em>+ + = +</em>

<em>- - = -</em>

<em>+ - = -</em>

<em>- + = -</em>

<em />

This means -3/5 - -2/5 becomes -3/5 + 2/5.

Because you are adding, you move two lines to the right on the number line.

You end at -1/5.

5 0
3 years ago
Read 2 more answers
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