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3 years ago

HELP

Mathematics

2 answers:

const2013 [10]3 years ago

7 0

Answer:

Predicted profit in year 8 is 17.14 millions of dollars.

Step-by-step explanation:

The quadratic equation

$y=-0.34x^2+4.43x+3.46$

predicts the profit y for a company in year x.

The profit in year 8 is the value of y at x=8:

$y(8)=-0.34\cdot 8^2+4.43\cdot 8+3.46\\ \\y(8)=-0.34\cdot 64+35.44+3.46\\ \\y(8)=-21.76+38.9\\ \\y(8)=17.14$

Hence, predicted profit in year 8 is 17.14 millions of dollars.

Dimas [21]3 years ago

5 0

Answer:

$17.14

Step-by-step explanation:

Given : $y = - 0.34x^2 + 4.43x + 3.46$

To Find : Using the quadratic regression equation, what was the predicted profit in year 8

Solution :

$y = - 0.34x^2 + 4.43x + 3.46$

Where y is profit and x is year

Substitute x = 8

$y = -0.34(8)^2 + 4.43(8) + 3.46$

$y =17.14$

So, Option D is true

Hence the predicted profit in year 8 is $17.14

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Please help me with this.

zheka24 [161]

The sin A is equal to 12/13 and the tan (A) is equal to 12/5.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: $hypotenuse^2=(leg_1)^2+(leg_2)^2$ . And the main trigonometric ratios are:

$sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\$

The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:

adjacent leg=5

hypotenuse=13

Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.

$hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ 13^2=5^2+(leg_2)^2\\ \\ 169=25+(leg_2)^2\\ \\ 144=(leg_2)^2\\ \\ leg_2=12$

Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:

$sin(A)= \frac{opposite\;leg}{hypotenuse}=\frac{12}{13}$

Finally, you can find the tan (A) since:

$tan(a )= \frac{opposite\;leg}{adjacent\;leg}=\frac{12}{5}$

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

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2 years ago

An rectangular water tank has a base area of 56 sq. ft. and a height of 4 ft. Find its volume in cubic feet.

ira [324]

Answer: 224 cubic feet

Step-by-step explanation: If the base of the tank is 56 sq feet in<u> area </u> then the dimensions could be, (2,28) (4,14) (7,8) for example. However, it doesn't really matter. It's only important that the information we know is that it is area and there are two dimensions. Since volume is determined by base x width x height, we do 56 x 4. Or using one of the factored pairs that works, for example, 8 x 7 x 4 = 224.

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2 years ago

Nicole runs each lap in 4 minutes. She will run more than 24 minutes today. What are the possible numbers of laps she will run t

sdas [7]

7 or more laps. you can find this by multiplying 6 x 4 & anything above that would work too

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3 years ago

Read 2 more answers

The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the

Rama09 [41]

Complete question :

The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet. Find length of the ladder.

Answer:

Step-by-step explanation:

From Pythagoras :

Hypotenus = sqrt(opposite² + adjacent²)

From the diagram

l = sqrt((l-9)² + 15²)

l² = (l² - 18x + 81 + 225)

Square both sides

l² = l² - 18x + 306

l² - l² = 306 - 18x

18l = 306

l = 306/18

l = 17

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2 years ago

A big dump truck delivers gravel to a construction site. The dump truck has a rectangular bed that is 3 meters wide and 4 meters

uysha [10]

Answer:

24m^3

Step-by-step explanation:

Volume is L x W x H which is base times width times height. So you take the Length (3), the width (4) and the height (2) you multiply them together to get 24m. but your not done. you have to add the exponent

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3 years ago