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3 years ago

If a ball is thrown into the air with a velocity of 46 ft/s, its height in feet t seconds later is given by y = 46t − 16t2.

Mathematics

1 answer:

Zina [86]3 years ago

8 0

Answer:

Step-by-step explanation:

you want maximum height reached?

$\frac{dy}{dt} =46-32t\\\\at max. height velocity=0\\ 0=46-32t\\32 t=46\\t=46/32=23/16\\y=t(46-16t)\\ at t=\frac{23}{16} \\ y=\frac{23}{16}(46-16*\frac{23}{16} )\\\\y=\frac{529}{16} ft$

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Which shows the expression below simplified? 0.00048 - (3.4 × 10-5) A. 4.46 × 10-4 B. 3.39952 × 10-5 C. 4.46 × 10-5 D. 1.4 × 10-

MakcuM [25]

Option C

The simplified form of given expression is $4.46 \times 10^{-4}$

Solution:

Given that we have to simplify the expression shown below

$0.00048 - (3.4 \times 10^{-5})$

Let us first convert 0.00048 to scientific notation

Steps to follow:

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

$0.00048 = 4.8 \times 10^{-4}$

So the given expression becomes,

$\rightarrow 4.8 \times 10^{-4} - 3.4 \times 10^{-5}$

Let us make the exponent of second term as -4

$\rightarrow 4.8 \times 10^{-4} - 0.34 \times 10^{-4}$

Take $10^{-4}$ as common term,

$\rightarrow 10^{-4} (4.8 - 0.34)$

$\rightarrow 4.46 \times 10^{-4}$

Thus option C is correct

7 0

3 years ago

Can someone please help me?

Sever21 [200]

Answer:

Step-by-step explanation:

The problem is saying 2/5 squared by -2 times -3 multiplied by itself 4 times.

2/5 multiplied by itself -2 times looks like this: -2/5 times -2/5.

-3 multiplied by itself 4 times looks like this: -3 times -3 times -3 times -3.

Put the two together and it looks like B.

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3 years ago

Each of the four sides of a swimmimg pool measures 9 meters. The pool is 5 meters deep. How much water will be needed to fill it

netineya [11]

In this problem, we are asked for the volume of the pool filled with water. In this case, the volume of the rectangular prism is equal to length times width times height. Since length and width are equal, the formula includes the squaring of the length. after substitution, the formula is 9^2 * 5 equal to 405 m3.

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4 years ago

Answer me and get brainliest pls find the volume

aalyn [17]

Answer:

6720 ft³

Step-by-step explanation:

Volume = $\frac{1}{2}$ * base * height * length