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3 years ago

Convert 5 2/7 to 7ths (there’s the image if you’re confused.)

Mathematics

1 answer:

MrMuchimi3 years ago

7 0

Answer:

37/7

Step-by-step explanation:

to get 37-

7x5+2, then you get 37! you then put that over the denpminator, if you're confused look at the pic

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A person standing at the edge of a cliff throws a rock upward from a height of 180ft above ground level with an initial velocity

taurus [48]

Answer: 8.73 ft/s

Step-by-step explanation:

We have the following equation that models the motion of the rock:

$h(t)=-16t^{2}+64t+180$

Where $h(t)$ is the height of the rock at a time $t$ .

Now, if $h(t)=48 ft$ we can find $t$ and then the velocity of the rock at that height:

$48=-16t^{2}+64t+180$

Rearranging the equation:

$-16t^{2}+64t+132=0$

Multiplying the equation by -1:

$16t^{2}-64t-132=0$

Solving with the quadratic formula $t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}$ , where $a=16$ , $b=-64$ , $c=-132$ .

$t=\frac{-(-64)\pm\sqrt{(-64)^{2}-4(16)(-132)}}{2(16)}$

Choosing the positive result of the equation:

$t=5.5 s$

Since velocity $V$ is defined as the traveled distance $h(t)$ in a given time $t$ , we have:

$V=\frac{h(t)}{t}$

$V=\frac{48 ft}{5.5 s}$

$V=8.727 ft/s \approx 8.73 ft/s$ This is the velocity of the rock at the height of 48 feet

7 0

3 years ago

What is<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B81%7D%20" id="TexFormula1" title=" \sqrt{81} " alt=" \sqrt{81} " align

azamat

Answer:

$\: \sqrt{81 } = 9$

Step-by-step explanation:

$\sqrt{81 } = \sqrt{3 \times 3 \times 3 \times 3} \\ = 3 \times 3 \\ =9$

You have to prime factorise 81 and then you will get <u>9</u> as the answer.

8 0

3 years ago

Read 2 more answers

Gunnar’s car gets 22.4 miles per gallon, and his gas tank can hold 17.82 gallons of gas. PART B: Gunnar’s car is close to empty

dedylja [7]

Answer:

399.17 miles

Step-by-step explanation:

Gunnar's car gets 22.4 miles per gallon. His gas tank can hold 17.82 gallons of gas.

Gunnar's car travels with one gallon of gas = 22.4 miles

He can travel with 17.82 gallon of gas = 17.82 × 22.4

= 399.168 ≈ 399.17 miles

Gunnar can travel 399.17 miles if he uses all of the gas in the gas tank.

6 0

4 years ago

John haf 99 more stickers than Sally. Sally then gave John 36 more stickers. How many more stickers would John have than Sally i

densk [106]

Hi,

John haves 99 stickers. If Sally gave him 36 more that means john haves 99 + 36 = 135 more stickers than Sally.

Hope this helps.
r3t40

5 0

4 years ago

The base change property can help in what type of scenarios? HELP ME!!!!!

Mekhanik [1.2K]

<h3>Base Change Property</h3><h3 />

The Base Change Property is very helpful in scenarios related to simplifying equations where the logarithmic terms have a varying base.

So to solve an equation, which possesses logarithmic functions, all logarithmic terms must have a similar base.

<h3>What is Base Change Property?</h3><h3 />

This refers to the base formula which is used to write a logarithm of a number with a base that is fixed as the ratio of two logarithms both having the same base but different from the base of the initial or original logarithm.

Change of Base Formula is given as:

$log_{b} a = \frac{Log_{c} a }{Log_{c} b}$

See the link below for more about Base Change Property:

brainly.com/question/15318682

6 0

3 years ago