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2 years ago

Evaluate the expression. (-3)^-2

Mathematics

2 answers:

Romashka [77]2 years ago

8 0

Answer:

I love daddies

Step-by-step explanation:

i love daddies

Wewaii [24]2 years ago

3 0

$~~(-3)^{-2}\\\\\\=\dfrac 1{(-3)^2}~~~~~~~~~~~~~~~~~~~~~~~~~;\left[k^{-n} = \dfrac 1{k^n},~~~ k \neq 0\right]\\\\\\=\dfrac 1{(-1)^2 \cdot 3^2}\\\\\\=\dfrac 1{1 \times 9}\\\\\\=\dfrac 19$

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Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap

11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

$\dfrac{dV}{dt}=20$ ft^3/min$

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

$\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Therefore: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20$

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

$h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)$

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute

5 0

3 years ago

What is the plants height after 20 minutes?

ICE Princess25 [194]

Answer:

14.60

Step-by-step explanation:

Note that there are 100 centimeters in 1 meter. The plant is 13 meters tall, and grows 8 centimeter every month. It is asking you for 20 months worth (x = 20) of growth.

First, solve for the amount of centimeters total in 20 months:

8 centimeter per month x 20 months = 160 centimeters per 20 months.

Remember, there are 100 centimeters in every meter. Therefore:

160 centimeter/ 100 centimeters per meter = 1.60 meters.

Add the growth to the original height:

13.00 + 1.60 = 14.60

14.60 meters is your answer.

5 0

3 years ago

The tree diagram represents an experiment consisting two trials

zavuch27 [327]

Answer:

0.35

Explanation:

P ( B and D )

0.5 * 0.7

0.35

Follow the branch B and then branch D

multiply both the selected probabilities to calculate total probability.

6 0

2 years ago

Read 2 more answers

HELPPP PLEASEEEEEEE

kkurt [141]

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30.

Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

factorization of 45 is 5 x 3 x 3, or 5 x 3^2.

3 0

3 years ago

Ž + 1 = 9 Ox = 16 x = 20 Ox = 4 Ox=5

kotykmax [81]

Answer:

x = 16

Step-by-step explanation:

-- = 9-1 ...... first shift 1 and it will be -1

x = 8 ....... secondly 9-1 =8

x = 16 ..... criss cross and 2×8 = 16

there fore the value of x is equals to 16.

you can check it!

4 0

3 years ago