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ivolga24 [154]
3 years ago
9

PLEASEEEE HELLPPPPPP

Mathematics
1 answer:
S_A_V [24]3 years ago
6 0

Answer:

15 initially, 92 after 10 years

Step-by-step explanation:

exactly 92.87 but there can't be <em>part </em>of an elk.

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One type of plant root splits 4 times while growing in the ground. The number of new roots after each split can be modeled by th
notsponge [240]

Answer:

All positive integers less than or equal to 4

Step-by-step explanation:

The domain of the function are all possible values which variable x can take.

Since x is the number of times the root splits, x can take values 1 (1 time splits), 2 (2 times splits), 3 (3 times splits), 4 (4 times splits).

The variable x cannot take negative values because it cannot split -2 times.

The variable x cannot take integer values greater than 4, because this type of plant root splits 4 times while growing in the ground.

Hence, the domain of the function f(x) is all positive integers less than or equal to 4.

8 0
3 years ago
Read 2 more answers
A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for ever
algol13

\frac{5}{6} = \frac{a}{1001} where a = compound A

6a = 5,005

a = 834 milliliters

8 0
3 years ago
let sin(θ) =3/5 and tan(y) =12/5 both angels comes from 2 different right trianglesa)find the third side of the two tringles b)
statuscvo [17]

In a right triangle, we haev some trigonometric relationships between the sides and angles. Given an angle, the ratio between the opposite side to the angle by the hypotenuse is the sine of this angle, therefore, the following statement

\sin (\theta)=\frac{3}{5}

Describes the following triangle

To find the missing length x, we could use the Pythagorean Theorem. The sum of the squares of the legs is equal to the square of the hypotenuse. From this, we have the following equation

x^2+3^2=5^2

Solving for x, we have

\begin{gathered} x^2+3^2=5^2 \\ x^2+9=25 \\ x^2=25-9 \\ x^2=16 \\ x=\sqrt[]{16} \\ x=4 \end{gathered}

The missing length of the first triangle is equal to 4.

For the other triangle, instead of a sine we have a tangent relation. Given an angle in a right triangle, its tanget is equal to the ratio between the opposite side and adjacent side.The following expression

\tan (y)=\frac{12}{5}

Describes the following triangle

Using the Pythagorean Theorem again, we have

5^2+12^2=h^2

Solving for h, we have

\begin{gathered} 5^2+12^2=h^2 \\ 25+144=h^2 \\ 169=h^2 \\ h=\sqrt[]{169} \\ h=13 \end{gathered}

The missing side measure is equal to 13.

Now that we have all sides of both triangles, we can construct any trigonometric relation for those angles.

The sine is the ratio between the opposite side and the hypotenuse, and the cosine is the ratio between the adjacent side and the hypotenuse, therefore, we have the following relations for our angles

\begin{gathered} \sin (\theta)=\frac{3}{5} \\ \cos (\theta)=\frac{4}{5} \\ \sin (y)=\frac{12}{13} \\ \cos (y)=\frac{5}{13} \end{gathered}

To calculate the sine and cosine of the sum

\begin{gathered} \sin (\theta+y) \\ \cos (\theta+y) \end{gathered}

We can use the following identities

\begin{gathered} \sin (A+B)=\sin A\cos B+\cos A\sin B \\ \cos (A+B)=\cos A\cos B-\sin A\sin B \end{gathered}

Using those identities in our problem, we're going to have

\begin{gathered} \sin (\theta+y)=\sin \theta\cos y+\cos \theta\sin y=\frac{3}{5}\cdot\frac{5}{13}+\frac{4}{5}\cdot\frac{12}{13}=\frac{63}{65} \\ \cos (\theta+y)=\cos \theta\cos y-\sin \theta\sin y=\frac{4}{5}\cdot\frac{5}{13}-\frac{3}{5}\cdot\frac{12}{13}=-\frac{16}{65} \end{gathered}

4 0
1 year ago
Find the volume of the cone. <br> Formula:<br> Substitute:
11111nata11111 [884]

Answer:

65.97

Step-by-step explanation:

V = (pi)(r^2)(h/3)

V= (pi)(3^2)(7/3)

V = 65.97

6 0
3 years ago
Read 2 more answers
POD #13
Lisa [10]

Answer:

She spent $70.65.

Step-by-step explanation:

Represent the amount spent by x.

Then $22.50 - x = -$48.15.

Combining like terms, we get:

$22.50 + $48.15 = x, or

x = $70.65

She spent $70.65.

8 0
3 years ago
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