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2 years ago

H = 3 + 31t - 161² Find all values of t for which the ball's height is 17 feet .

Mathematics

1 answer:

jasenka [17]2 years ago

3 0

Answer:

t= 31/175 ≈ 5.64516129

Step-by-step explanation:

Refer Pic For Steps....

Hope it Helps!!!

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Ms. Fitzgerald had 2 1 /4 gallons of fruit punch. She served 3 /8 gallon of the fruit punch

Luda [366]

Answer:

1 7/8

Step-by-step explanation:

1/4=2/8

2+2/8-3/8= 1 7/8

8 0

2 years ago

If 5 + 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline + 5, what is the value of x? –

sp2606 [1]

Answer:

<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>

Step-by-step explanation:

Given equation is $5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

<h3>To find the value of x :</h3>

First solving the given equation we have,

$5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

$5+20\times (2)^{2-3x}-5=10\times (2)^{-2x}+5-5$

$20\times (2)^{2-3x}=10\times (2)^{-2x}$

$20\times (2)^2.(2)^{-3x}=10\times (2)^{-2x}$

$20\times 4.(2)^{-3x}=10\times (2)^{-2x}$

$80(2)^{-3x}=10\times (2)^{-2x}$

$\frac{80}{10}(2)^{-3x}=\frac{10\times (2)^{-2x}}{10}$

$8(2)^{-3x}=(2)^{-2x}$

$\frac{(2)^{-3x}}{(2)^{-2x}}=\frac{1}{8}$

$(2)^{-3x}.(2)^{2x}=\frac{1}{2^3}$ ( by using the property $\frac{1}{a^{-m}}=a^m$ )

$2^{-3x+2x}=\frac{1}{2^3}$ ( by using the property $a^m.a^n=a^{m+n}$ )

$2^{-x}=\frac{1}{2^3}$

$\frac{1}{2^x}=\frac{1}{2^3}$ ( by using the property $a^{-m}=\frac{1}{a^m}$ )

Since bases are same so powers are same

Therefore we can equate the powers we get x=3

<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>

5 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (-4,-2) and (-4,-22)? Write your answer In simplest form

andrew11 [14]

Kwkwwkwkwkwkkejejeje

4 0

3 years ago

The line plot shows the weight of the bags of beans.what is the average weight of the bags.

Setler79 [48]

Answer:

1/2

Step-by-step explanation:

So you have 12 bags total.

2 are 1/6 so their total weight is 1/3

2 are 1/3 so their total weight is 2/3

3 are 1/2 so their total weight is 3/2

4 are 2/3 so their total weight is 8/3

1 is 5/6 so their total weight is 5/6

Now add all of these up:

1/3 + 2/3 + 3/2 + 8/3 + 5/6 = 36/6 = 6

Then divide by the number of bags to get the average weight: 6/12 = 1/2

7 0

3 years ago

A city has a population of 250,000 people. Suppose that each year the population grows by 6%. What will the population be after

irinina [24]

Answer:

503,049

Step-by-step explanation:

250,000 × 1.06^12 is the formula.

You take the percentage which is 6% and you add 1 to it.

So, you get 1.06

Then you take the 1.06 and raise it to the number of years which is 12.

1.06^12

Then you multiply that number to the base number which is 250,000 and get 503,049.

Hope this helps!

5 0

3 years ago

H = 3 + 31t - 161² Find all values of t for which the ball's height is 17 feet .​

H = 3 + 31t - 161² Find all values of t for which the ball's height is 17 feet .