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CaHeK987 [17]
3 years ago
13

(w^5 z^2 )(−9w^2 z^5)

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0
We have that
(w^5*z^2)*(-9*w^2*z^<span><span>5)</span> 

</span><span>Multiplying exponential expressions
we know that
</span>w^5<span> multiplied by </span>w^<span>2 = w</span>^<span>(5 + 2) = w</span>^7
and
z^2<span> multiplied by </span>z^<span>5 = z</span>^<span>(2 + 5) = z</span>^7

therefore
(w^5*z^2)*(-9*w^2*z^5) =-9*( w^7)*( z^7)
-9*( w^7)*( z^7)=-(3^2)*( w^7)*( z^7)

the answer is
-(3^2)*( w^7)*( z^7

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A water tank has a square base of area 5 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star
ANEK [815]

Answer:

9.2\ \text{m}

Step-by-step explanation:

b = Surface area of base = 5 square meters

Volume of water in tank = 70 cubic meters

The rate at which the volume is reducing is

\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt

Integrating from t=0 to t=3

V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24

Volume of water remaining in the tank is 70-24=46\ \text{m}^3

Suface area of base \times depth = Volume

5\times d=46\\\Rightarrow d=\dfrac{46}{5}\\\Rightarrow d=9.2\ \text{m}

The depth of the water remaining in the tank is 9.2\ \text{m}.

3 0
3 years ago
What is the value of x in the equation
Alex

Answer:

D) 57

Step-by-step explanation:

1/3x- 1/2 = 18 1/2

1/3x = 19

(3) * 1/3x = 19 (3)

x = 57

8 0
3 years ago
Read 2 more answers
The speed(S) of a car varies partly directly as its mass(M) and partly directly as the quantity (Q) of fuel in it. When the spee
weeeeeb [17]

Answer:

S varies partly directly as M and Q.

S=C.

S=KMQ+C.

For the first one...

speed=80,m=220,Q=30.

80=K20×30+C.

80=600K+C......(I).equation one.

For the second one....

speed=60,m=300,Q=40.

60=K300×40+C.

60=12000K+C.....(ii). equation two.

Minus eqtn(I) from eqtn(ii).

80=600K+C.

- 60=12000K+C.

K=0.01754~0.018.

Substitute K=0.018 into eqtn(I).

80=600K+C

80=600×0.018+C.

80=10.8+C.

C=80-10.8=69.2.

The relation is S=0.018MQ+69.2

when speed is 100 and mass is 250 find the volume.

100=0.018×250×Q+69.2.

100=4.5Q+69.2.

4.5Q=100-69.2

4.5Q=30.8.

Q=30.8/4.5.

Q=6.8~7litres.

6 0
3 years ago
What is 3 3/8 tons equal to in pounds?
guapka [62]

1 ton is equivalent to 2000 pounds

we have to find how many pounds 3 3/8 tons are equal to

if 1 ton --> 2000 pounds

we can break down the fraction into 3 + 3/8

then 3 tons --> 2000 x 3 = 6000 pounds

3/8 ton ---> 2000 x 3/8 = \frac{3*2000}{8} = \frac{6000}{8} = 750 pounds

after adding 6000 + 750 = 6750 pounds

answer is 6750 pounds

7 0
3 years ago
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<h2>Long short story: I tried ;-; </h2>

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