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Norma-Jean [14]
3 years ago
10

Point A is launched horizontally away from a wall and a ( t ) a(t) represents Point A's distance from the wall (in meters) in te

rms of the number of seconds t t since the point was launched. Point D is launched from a platform that places it 1 meters from the wall, and Point D travels 1.5 times as fast as Point A. AD Click here to launch the points. Suppose d ( t ) d(t) represents Point D's distance from the wall (in meters) in terms of the number of seconds t t since the points were launched. Write a function formula for d d using the function a a.
Mathematics
1 answer:
irina1246 [14]3 years ago
4 0

Answer:

d(t) = 1 +1.5*a(t)

Step-by-step explanation:

Since point D is launched from a platform that places it 1 meters from the wall, we have  

d(0) = 1

Since point A is launched directly from the wall,  

a(0) = 0

but besides, point D travels 1.5 times as fast as point A, so

d(t) = 1 +1.5*a(t)

and this the function required.

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A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 5 large boxes and 3 small boxes has a t
Hoochie [10]
Let's let the weight of a large box be L, and the weight of a small box be S.

We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120

We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234

You can multiply the first equation by 3 to get:
15L + 9S = 360

See how now both equations have 9S? We can now subtract one from the other:
(15L+9S) - (7L+9S) = 360-234
8L = 126
L = 15.75

Now sub this value back into an equation:
(5x15.75) + 3S = 120
3S = 41.25
S = 13.75

Double check these values
(7x15.75) + (9x13.75)
= 110.25 + 123.75
=234, which is consistent with above.

So a large box is 15.75kg, and a small box is 13.75kg.

Hope this helped
5 0
3 years ago
A changes saved<br> Set up a proportion and use it to solve for x.<br> 2<br> 10<br> х<br> 3
V125BC [204]

Answer:

C. 15

Step-by-step explanation:

The following proportional can be set-up for the figure given:

\frac{x + 3}{x} = \frac{10 + 2}{10}

Solve for x

\frac{x + 3}{x} = \frac{12}{10}

\frac{x + 3}{x} = \frac{6}{5}

Cross multiply

5(x + 3) = x(6)

5x + 15 = 6x

15 = 6x - 5x

15 = x

x = 15

3 0
3 years ago
Lamar needs to buy some pencils. Brand A has a pack of 18 pencils for 2.36 . Brand B has a pack of pencils 24 for 4.09 Find the
rewona [7]

Answer:

The unit price of brant A and brand B is 0.1311 and 0.1704 and brand A would be better

Step-by-step explanation:

The computation of the unit price for each brand is shown below:

For brand A, the unit price is

= 2.36 ÷ 18 pencils

= 0.1311

For Brand b, the unit price is

= 4.09 ÷ 24

= 0.1704

So here as we can see that brand A would be better as it has less cost as compared with brand B

7 0
3 years ago
Evaluate each expression using the values m = 7, r = 8, and t = 2.
user100 [1]

So I'll walk through the first 2. Then please try the other ones and let me know if you run into more problems.

5m-6

If m is equal to 7, then replace m with 7.

5(7)-6

5x7=35 so the expression is now 35-6. Solve.

35-6=29

So that was the first one.

4m+t

We just do what we do with the first problem.

4(7)+(2)

4x7=28 so the expression is 28+2.

28+2=28

---

hope it helps

p.s. When there is subtraction, add. When there is division, multiply to cancel that out. When there is multiplication, divide to cancel. etc.

6 0
3 years ago
Read 2 more answers
Trigonometry
saul85 [17]

Answer:

9.7

Step-by-step explanation:

tan=opposite/adjacent

tan=9/adjacent

tan 43=9/x

x tan 43=9

0.9325x=9

0.9325x/0.9325=9/0.9325

=9.65

hence;

x=9.7

7 0
3 years ago
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