3 years ago

The solutions of x² = 16x - 28 are 1) -2 and -14 2) 2 and 14 3) -4 and -7 4) 4 and 7

Mathematics

1 answer:

Allisa [31]3 years ago

6 0

2 and 14
hope this helps

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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 $9.2\ \text{m}$ .

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3 years ago

Whats 2+2? I do not understand

Nady [450]

Answer:

Step-by-step explanation:

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4 years ago

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What is the y-intercept of the graph of the function f(x) = x^2 + 3x + 5?

Semenov [28]

Answer:

(0,5)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

y=x^2 + 3x + 5

y=(0)^2 + 3(0) +5

y=0+0+5

y=5

Since there is no x coordinate for a y-intercept, the answer is (0,5)

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The scale of a model is 0.5in : 6 ft. find the length of the model for an actual length of 204 ft

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Answer:

17 in

Step-by-step explanation:

.5 in : 6 ft

204/6 x .5 = 17

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