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3 years ago

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n 1992, Jason bought a gallon of gas for $1.18. Yesterday, he bought a gallon of gas for $2.07. What is the percentage increase

of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.

1 answer:

lukranit [14]3 years ago

3 0

it is o.89 cents because u subtract 2.07 from 1.18 and u get 0.89 cents

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Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-

Ostrovityanka [42]

Answer:

2.25

Step-by-step explanation:

The computation of the number c that satisfied is shown below:

Given that

$f(x) = \sqrt{x}$

Interval = (0,9)

According to the Rolle's mean value theorem,

If f(x) is continuous in {a,b) and it is distinct also

And, f(a) ≠ f(b) so its existance should be at least one value

i.e

$f^i(c) = \frac{f(b) - f(a)}{b -a }$

After this,

$f(x) = \sqrt{x} \\\\ f^i(x) = \frac{1}{2}x ^{\frac{1}{2} - 1} \\\\ = \frac{1}{2}x ^{\frac{-1}{2}$

$f^i(x) = \frac{1}{{2}\sqrt{x} } = f^i(c) = \frac{1}{{2}\sqrt{c} } \\\\\a = 0, f (a) = f(o) = \sqrt{0} = 0 \\\\\ b = 9 , f (b) = f(a) = \sqrt{9} = 3\\$

After this,

Put the values of a and b to the above equation

$f^i(c) = \frac{f(b) - f(a)}{b - a} \\\\ \frac{1}{{2}\sqrt{c} } = \frac{3 -0}{9-0} \\\\ \frac{1}{\sqrt[2]{c} } = \frac{3}{9} \\\\ \frac{1}{\sqrt[2]{c} } = \frac{1}{3} \\\\ \sqrt[2]{c} = 3\\\\\sqrt{c} = \frac{3}{2} \\\\ c = \frac{9}{4}$

= 2.25

4 0

3 years ago

Juan and Raj cut up a banana to put on cereal. Juan puts 17 of the banana on his bowl of cereal, and Raj puts 25 of the banana

rusak2 [61]

<h3><u>Question:</u></h3>

Juan and raj cut up a banana to put on cereal. juan puts 1/7 of the banana on his bowl of cereal, and raj puts 2/5 of the banana on his bowl of cereal.

what fraction of the banana did juan and raj put on their cereal altogether?

a. 2/35 banana

b. 3/12 banana

c. 3/7 banana

d. 19/35 banana

<h3><u>Answer:</u></h3>

Juan and Raj altogether put 19/35 banana

<h3><u>Solution</u>:</h3>

Given that, Juan and Raj cut up a banana to put on cereal

$fraction\ of\ banana\ put\ by\ Juan = \frac{1}{7}\\\\fraction\ of\ banana\ put\ by\ Raj = \frac{2}{5}$

We have to find the fraction of banana put by Juan and Raj altogether

This means, we have to add both the fractions

$fraction\ of\ banana\ put\ altogether = fraction\ of\ banana\ put\ by\ Juan + fraction\ of\ banana\ put\ by\ Raj$

$fraction\ of\ banana\ put\ altogether = \frac{1}{7} + \frac{2}{5}\\\\\text{Cross multiply to simplify }\\\\fraction\ of\ banana\ put\ altogether = \frac{1 \times 5 + 2 \times 7}{7 \times 5}\\\\fraction\ of\ banana\ put\ altogether = \frac{5+14}{35}\\\\fraction\ of\ banana\ put\ altogether = \frac{19}{35}$

Thus they put $\frac{19}{35}$ of banana by Juan and Raj altogether

5 0

3 years ago

Can someone please help me?

uysha [10]

Answer:

15.5 seconds.

Step-by-step explanation:

From the time the driver activated the brakes until he stopped, he travelled 76 - 14 = 62 meters.

During this time the car slowed down from 8 m/s to 0 m/s.

Assuming the deceleration was constant during this time we can apply one of the equations of motion for constant acceleration:

s = (u + v)t / 2 where u = initial velocity, v = final velocity, s = distance and t = the time, so:-

62 = (8 + 0)t/ 2

62 = 8t/2

4t = 62

t = 15.5 seconds.

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3 years ago

A parabola is defined by the equation x2 = 3/4y. In which direction will the parabola open?

pishuonlain [190]

Upwards because a is one and therefore positive

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3 years ago

Read 2 more answers

Triangle ABC IS an isosceles triangle AB=BC m

True [87]

Answer:

<em>The measure of angle A is 73°</em>

Step-by-step explanation:

<u>Isosceles Triangles</u>

An isosceles triangle is a triangle with exactly two congruent sides. The angles the congruent sides form with the third side are also equal.

The triangle ABC is isosceles and AB congruent with BC. The angle at B measures 34°.

The other two angles are congruent, i.e. their measures are the same. Since the internal angles of a triangle sum 180°:

$2*m\angle A=180^\circ - 34^\circ =146^\circ$

Thus:

$m\angle A=146^\circ /2=73^\circ$

The measure of angle A is 73°

5 0

3 years ago