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3 years ago

13

the two longer sides of a triangle measure 22 units and 29 units. Which of the following is a possible length of the shortest si

de?

1 answer:

suter [353]3 years ago

3 0

The shortest value has to be greater than 6 and less than 22 in order for 22 to be one of the 2 longer sides.

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A point moves along the curve y = √ x in such a way that the y-component of the position of the point is increasing at a rate of

Eduardwww [97]

Answer:

The value of x component changes at a rate of $\frac{dx}{dt}=4\sqrt{x}$ units per second

Step-by-step explanation:

We are given that $y=x^{\frac{1}{2}}$

Differentiating on both sides with respect to time we get

$\frac{dy}{dt}=\frac{d\sqrt{x}}{dt}\\\\\frac{dy}{dt}=\frac{1}{2}x^{\frac{-1}{2}}(\frac{dx}{dt})\\\\\frac{dy}{dt}=\frac{1}{2\sqrt{x}}\frac{dx}{dt}$

It is given that $\frac{dy}{dt}=2units/sec$

Solving for $\frac{dx}{dt}$ we get

$\frac{dx}{dt}=\frac{dy}{dt}\times 2\sqrt{x}\\\\\frac{dx}{dt}=4\sqrt{x}$

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3 years ago

A science class is tracking the progress of plant growth. The class starts the experiment with a plant five centimeters high. Th

NISA [10]

Answer:

In this equation, the y-intercept (+ 5) represents the original height of the plant. 2x represents the amount of growth multiplied by the number of days, x.

Step-by-step explanation:

6 0

3 years ago

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What is matter in science

Anettt [7]

Answer:

science makes you understand the world understand the living organisms understand electricity and understand chemical reactions which is one of the most important things to know in life

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3 years ago

George and Carmen went on a bicycle trip. They took a bus to their starting point and then biked the rest. They traveled 350 kil

wlad13 [49]

Total distance covered by <span>George and Carmen
</span>x + y = 350
And they biked 80 kilometers more than they bussed
<span>80 + y = x </span>
Putting the value of x=80 + y in <span>x + y = 350:
</span>We get:
<span>80 + y + y = 350 </span>
<span>2y = 270 </span>
<span>y = 135 km</span>

<span>Substituting y = 135 in x + y = 350 </span>
<span>x + 135 = 350</span>
<span>x = 215 km </span>

Thus George and Carmen biked for 215 km and bussed for 135 km.

4 0

3 years ago

Emily and Kate were at a cheerleading competition this fall.They cheered 12 rounds. Each round lasted 8.24 minutes. Calculate th

trapecia [35]

Answer:

98.88

Step-by-step explanation:

Given: They cheered 12 rounds. Each round = 8.24

To find the total number, multiply how much one round is with the total number of rounds.

8.24

× 12

-----------

1648

+ 8240

----------

98.88

Each girl cheered 98.88 minutes. If you need this estimated, the answer would be 99 minutes.

4 0

3 years ago