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8090 [49]
3 years ago
12

What is the product? (-2d^2+s)(5d^2-6s)

Mathematics
1 answer:
wlad13 [49]3 years ago
5 0

The answer is −10d4+17d2s−6s2

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3. A person standing 3 feet away from the base of a lamp post casts a shadow 4 feet long. If the person is 6 feet tall and walks
german

Answer:

533.33 ft/min

Step-by-step explanation:

We are given that

x=3 feet

y=4 feet

Height of person,h=6 feet

\frac{dx}{dt}=400 ft/min

Triangle ABC and A'B'C are similar because all right triangles are similar

By using similarity property

\frac{h'}{6}=\frac{7}{4}

h'=10.5 feet

x+y=3+4=7 feet

\frac{h'}{6}=\frac{x+y}{y}

\frac{10.5}{6}=\frac{x+y}{y}

10.5y=6x+6y

10.5y-6y=6x

4.5y=6x

Differentiate w.r.t t

4.5\frac{dy}{dt}=6\frac{dx}{dt}

\frac{dy}{dt}=\frac{6\times 400}{4.5}ft/min

\frac{dy}{dt}=533.33ft/min

Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min

7 0
3 years ago
Least to greatest 2/3 7/6 1/8 9/10 how to Putin proper order
Mashutka [201]
Convert fractions by d<span>ividing the top of the fraction by the bottom and then multiply by 100
--------------
</span>2/3 = 66.6667 ≈ 66.7%

7/6 = <span>116.6667 </span>≈ 116.7%

1/8 = 12.5%

9/10 = 90%
-----------------------------
Order
1/8, 2/3, 9/10, 7/6
4 0
3 years ago
Read 2 more answers
Find the greatest commen factor of 96 and 48
kirza4 [7]
48 is the greatest common factor
4 0
4 years ago
Read 2 more answers
The value in dollars, v(x), of a certain truck after x years is represented by the equation v(x) = 32,500(0.92)x. To the nearest
max2010maxim [7]

Answer:

The value of the truck is worth $27,508 after two years.

Step-by-step explanation:

We are given the following in the question:

v(x) = 32,500(0.92)^x

where v(x) is the value of truck in dollars after x years.

We have to estimate the value of truck after 2 years.

We put x = 2 in the equation.

v(2) = 32500(0.92)^2\\v(2) = 27508

Thus, the value of the truck is worth $27,508 after two years.

8 0
3 years ago
Factor completely: 32 + −10.
Charra [1.4K]

Answer:

22

Step-by-step explanation:

you are adding negative 10 so your number gets smaller

5 0
3 years ago
Read 2 more answers
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