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dedylja [7]
3 years ago
10

What is the answer ​

Mathematics
2 answers:
scoray [572]3 years ago
8 0

Answer:

5(n^2+2n+4)

Step-by-step explanation:

labwork [276]3 years ago
6 0

Answer:

i don't know what does it say on it

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Factor the expression 9x^2 - 30x + 25 I need help
MrMuchimi

Answer:

(3x - 5)²

Step-by-step explanation:

When we expand (3x - 5)², we get:

(3x - 5) (3x - 5)

When we multiply, we get:

9x² - 30x + 25

---------------------------------------------------------------------------------------------------------------

Have a great summer :)

7 0
3 years ago
G(x) = 15 – 4x<br> h(x) = x +8<br> Write g(h(x)) as an expression in terms of 2.
Sergeu [11.5K]

For this case we have the following functions:

g (x) = 15-4x\\h (x) = x + 8

We must findg (h (x))when x = 2.

So:

g (h (x)) = 15-4 (x + 8) =

We apply distributive property to the terms within parentheses taking into account that:

- * + = -\\15-4x-32 =

We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:

-17-4x

Thus, we have to:

g (h (x)) = - 17-4x

Then, with x = 2:

g (h (2)) = - 17-4 (2) = - 17-8 = -25

Equal signs are added and the same sign is placed.

Answer:

g (h (2)) = - 25

3 0
3 years ago
A pair of shoes has an original price of $65 but is on sale for a 20 percent discount. What number can you multiply by $65 to ge
Contact [7]

Answer:

0.8

Step-by-step explanation:

20 / 100 = 0.2

1 - 0.2 = 0.8

5 0
3 years ago
Read 2 more answers
an inverted conical water tank with a height of 20 ft and a radius of 8 ft is drained through a hole in the vertex (bottom) at a
viktelen [127]

Answer:

the rate of change of the water depth when the water depth is 10 ft is;  \mathbf{\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi} \  \ ft/s}

Step-by-step explanation:

Given that:

the inverted conical water tank with a height of 20 ft and a radius of 8 ft  is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec.

We are meant to find the  rate of change of the water depth when the water depth is 10 ft.

The diagrammatic expression below clearly interprets the question.

From the image below, assuming h = the depth of the tank at  a time t and r = radius of the cone shaped at a time t

Then the similar triangles  ΔOCD and ΔOAB is as follows:

\dfrac{h}{r}= \dfrac{20}{8}    ( similar triangle property)

\dfrac{h}{r}= \dfrac{5}{2}

\dfrac{h}{r}= 2.5

h = 2.5r

r = \dfrac{h}{2.5}

The volume of the water in the tank is represented by the equation:

V = \dfrac{1}{3} \pi r^2 h

V = \dfrac{1}{3} \pi (\dfrac{h^2}{6.25}) h

V = \dfrac{1}{18.75} \pi \ h^3

The rate of change of the water depth  is :

\dfrac{dv}{dt}= \dfrac{\pi r^2}{6.25}\  \dfrac{dh}{dt}

Since the water is drained  through a hole in the vertex (bottom) at a rate of 4 ft^3/sec

Then,

\dfrac{dv}{dt}= - 4  \ ft^3/sec

Therefore,

-4 = \dfrac{\pi r^2}{6.25}\  \dfrac{dh}{dt}

the rate of change of the water at depth h = 10 ft is:

-4 = \dfrac{ 100 \ \pi }{6.25}\  \dfrac{dh}{dt}

100 \pi \dfrac{dh}{dt}  = -4 \times 6.25

100  \pi \dfrac{dh}{dt}  = -25

\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi}

Thus, the rate of change of the water depth when the water depth is 10 ft is;  \mathtt{\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi} \  \ ft/s}

4 0
4 years ago
If the radius of a circle is 11 cm, what is the area of the circle?
andrey2020 [161]
A=πr^2
A=3.14(11^2)
A=3.14(121)
A=379.94 which is simplfied to 380

4 0
3 years ago
Read 2 more answers
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