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2 years ago

A car travels at 30 1/5 miles in 2/3 of an hour. What is the average speed, in miles per hour

Mathematics

2 answers:

marin [14]2 years ago

7 0

ANSWER:

45 3/10 mph

decimal form: 45.3 mph

Step-by-step explanation:

30 1/5 /2 = 15 1/10

15 1/10 x 3 = 45 3/10 mph

So hence, your answer is 45 3/10 mph. In decimal format, it can be 45.3

jasenka [17]2 years ago

4 0

Answer:

45.3 miles/h

Step-by-step explanation:

The answer is 45.3 miles/h

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Math how many models of 100 do u need to to model 3,200 explain

Keith_Richards [23]

32 because 32 x 100 = 3,200

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3 years ago

The function g is defined by:

Alisiya [41]

<em>g(x)</em> = <em>x</em>² - <em>x</em> - 6

<em>g</em> (-4) = (-4)² - (-4) - 6 = 16 + 4 - 6 = 14

When <em>g(x)</em> = 6, we have

6 = <em>x</em>² - <em>x</em> - 6

<em>x</em>² - <em>x</em> - 12 = 0

Solve for <em>x</em>. We factorize this easily as

(<em>x</em> - 4) (<em>x</em> + 3) = 0

which gives

<em>x</em> - 4 = 0 <u>or</u> <em>x</em> + 3 = 0

<em>x</em> = 4 <u>or</u> <em>x</em> = -3

6 0

2 years ago

2. Find the general relation of the equation cos3A+cos5A=0

mars1129 [50]

<h2>Answer:</h2>

$A=\frac{\pi}{8}+\frac{n\pi}{4}or\ A=\frac{\pi}{2}+n\pi$

<h2>Step-by-step explanation:</h2>

<h3>Find angles</h3>

$cos3A+cos5A=0$

________________________________________________________

<h3>Transform the expression using the sum-to-product formula</h3>

$2cos(\frac{3A+5A}{2})cos(\frac{3A-5A}{2})=0$

________________________________________________________

<h3>Combine like terms</h3>

$2cos(\frac{8A}{2})cos(\frac{3A-5A}{2})=0\\\\ 2cos(\frac{8A}{2})cos(\frac{-2A}{2})=0$

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<h3>Divide both sides of the equation by the coefficient of variable</h3>

$cos(\frac{8A}{2})cos(\frac{-2A}{2})=0$

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<h3>Apply zero product property that at least one factor is zero</h3>

$cos(\frac{8A}{2})=0\ or\ cos(\frac{-2A}{2})=0$

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<h3>Cross out the common factor</h3>

$cos\ 4A=0$

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<h3>Solve the trigonometric equation to find a particular solution</h3>

$4A=\frac{\pi}{2}or\ 4A=\frac{3\pi}{2}$

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<h3>Solve the trigonometric equation to find a general solution</h3>

$4A=\frac{\pi}{2}+2n\pi \ or\\ \\ 4A=\frac{3 \pi}{2}+2n \pi\\ \\A=\frac{\pi}{8}+\frac{n \pi}{4\\}$

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<h3>Reduce the fraction</h3>

$cos(-A)=0$

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<h3>Simplify the expression using the symmetry of trigonometric function</h3>

$cosA=0$

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<h3>Solve the trigonometric equation to find a particular solution</h3>

$A=\frac{\pi }{2}\ or\ A=\frac{3 \pi}{2}$

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<h3>Solve the trigonometric equation to find a general solution</h3>

$A=\frac{\pi}{2}+2n\pi\ or\ A=\frac{3\pi}{2}+2n\pi,n\in\ Z$

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<h3>Find the union of solution sets</h3>

$A=\frac{\pi}{2}+n\pi$

________________________________________________________

<h3>Find the union of solution sets</h3>

$A=\frac{\pi}{8}+\frac{n\pi}{4}\ or\ A=\frac{\pi}{2}+n\pi ,n\in Z$

<em>I hope this helps you</em>

5 0

2 years ago

An acid is a substance that increases the concentration of H3O+ ions in solution. Look at the reaction below of phenol (C6H5OH)

Law Incorporation [45]

Answer:

The reactant that acts as an acid, by contributing an H⁺ ion to create H3O+ in the chemical equation is C₆H₅OH.

Step-by-step explanation:

According to Brønstend-Lowry, an acid is a substance that transfer a proton (hydrogen cation, H⁺) to a base, forming a base conjugate for the first and an acid conjugate for the second.

From the following reaction:

C₆H₅OH(aq) + H₂O(l) → C₆H₅O⁻(aq) + H₃O⁺(aq)

We have that the C₆H₅OH transfer a proton to the water to form its conjugate base C₆H₅O⁻ and the conjugate acid of water H₃O⁺. Hence, the C₆H₅OH is the acid and the water is the base.

Therefore, the reactant that acts as an acid, by contributing an H⁺ ion to create H3O+ in the chemical equation is C₆H₅OH.

I hope it helps you!

8 0

3 years ago

Read 2 more answers

What is 27 times 30 to the power of 2?(“real” question)

tankabanditka [31]

Answer:

24300

Step-by-step explanation:

first find the square for 30 * 30

then multiply!

5 0

2 years ago