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jasenka [17]
3 years ago
11

Estimate Square root of 97.5÷1.96

Mathematics
2 answers:
Marysya12 [62]3 years ago
6 0

Answer:

Step-by-step explanation: 49.7 is the estimated root, the answer.

notka56 [123]3 years ago
6 0

Answer:

7

Step-by-step explanation:

1) Round both numbers up to the nearest integer:

98/2

==49

3) Take the square root of 49:

7

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F(x) = 1/4x -3 = 1/4*12-3

= 1/45
7 0
3 years ago
Find a counterexample to the conjecture: Any number that is divisible by 2 is also divisible by 4
Vlad [161]
Choose number 2, it is divisible by 2, 2:2=1 but it is not divisible by 4, because 2:4=0,5 but 0,5 \notin \mathbb Z.
6 0
3 years ago
How do u compare rate of change and slope help plz
antoniya [11.8K]

Step-by-step explanation:

The slope is described by the the initial and final value of one quantity over the difference between the initial and final of the other

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The rate of change on the other hand is mostly refers to how much a quantity is changing with time i.e the rate of change of y from y1 to y2 can be expressed as

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4 0
3 years ago
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
Please help me on 17-18!<br> I have no clue on what to do on the problems at hand.
nika2105 [10]

If you would have to graph x=7, you probably know that this is a vertical line at, well, x=7.

| x | = 7 is nothing more than two vertical lines, namely x=7 or x=-7, as you already wrote down.

| x | = -8 has no (real) solutions, so there is nothing to graph.

7 0
3 years ago
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