Melissa standing 40 feet from a tree the angle of elevation from where she is standing on the ground to the top of the tree is 50° how tall is the tree round the final answer to the nearest 10th.

The addition of f(x) and g(x) is derived as follows;

5x^2 - 4 + (3x + 1)

5x^2 - 4 + 3x + 1

5x^2 + 3x - 4 + 1

5x^2 +3x -3

The correct answer is option D

Given:

Where A is the number of deer expected in the herd after t years.

We will find the following:

(a) How many deer will be present after 3 years?

So, substitute t = 3 into the given equation:

Rounding to the nearest whole number

So, the answer will be A = 57

=========================================================

(b) How many years will it take for the herd to grow to 50 deer?

substitute A = 50 then solve for t

Round your answer to the nearest whole number.

So, the answer will be t = 3

Given that the USDA reported the acreage for wheat in 2019 was approximately 45.6 million acres; and was down 5% from 2018. We were asked to pick an option that would represent the right conclusion to the given statement.

To do this, we would assume that the acreage for wheat in 20 18 is x. Since 2018 differs from 2019 by 5%

This implies that the representation of 2019 acreage would be;

Therefore, we can have

Therefore the 2018 acreage was;

Answer: Option B

The width of a rectangle is 3/4 its length.

The perimeter of the rectangle is 420 ft.

Recall that the perimeter of a rectangle is given by

Let us substitute the value of the given perimeter and the width

Now simplify and solve for length

Therefore, the length of the rectangle is 120 feet.

SOLUTION

The relation is a function because each x-value has a unique y-value. That is each domain has only one image. Therefore, the relation is a function

The melting point of element C is 41 degrees C

The question states "The melting point of a certain element is -5 times the melting point of the element C."

Multiply the melting point of Element C by -5 to get the melting point of the certain element

-5 * 41

Solution

-205

14. Given:

Substitute the value of r and s in the given problem.

We get,

Hence, the answer is

Subsituting (0,0) in the inequality,

Hence the line 3x+y=4, demarcating the plane contains the origin.

Thus, the above graph gives the required region of inequality.

Answer:

$820.63

Explanation:

For two different properties, we have the following:

• Assessed Value = $63,000

• Tax = $550

• Assessed Value = $94,000

• Tax = $x

Using a proportion, we have:

The tax on a property with an assessed value of $94,000 is $820.63 (correct to 2 decimal places).

Answer:

Explanation:

82

Explanation

the average is calculated by dividing the sum of the values in the set by their number.

Step 1

Let

Step 2

apply the equation

so, the answer is 82

Answer:

A. LJ≅HF

Step-by-step explanation:

Same as last time

The Geometric Mean is:

Given 36 and 21, the Geometric Mean is given as:

Given:

Mean,

Standard deviation,

To find: The indicated values

Explanation:

The values are calculated as follows,

Final answer: The values are,

The other factor of the polynomial from what we have here is given as  x² - 4x + 1 option B is correct.

We are required to divide  x³ - 7x² + 13x - 3 by x -3

We have this as

     x² - 4x + 1

     -----------------

x-3 | x³ - 7x² + 13x - 3

we would have

        x³ - 3x²

subtract this value by the one that we have above

then we would have

                   -4x² + 13x

                   -4x² + 12x

subtract these values from each other to get the value below.

                               x - 3

Hence the solution to the polynomial would be    x² - 4x + 1.

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There is no proof because X ≠ -15 when 3/5 x = 9

Multiplication is defined as one of the basic arithmetic operations that is used for the repeated addition of similar figures together.

From the given expression,

3/5x = 9

But X= -15

Substitute X = -15 into the given expression;

That is,

3/5 * -15 = 9

-45/5= 9

-9 = 9

Therefore, there is no proof that in the expression 3/5 x = 9, X ≠ -15 because the final answer is -9 and not ,9.

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we have the equation

-6x-8y=-2

step 1

Isolate the variable y

Adds 6x both sides

-6x-8y+6x=-2+6x

simplify

-8y=6x-2

Divide both sides by -8

-8y/8=(6x-2)/-8

y=-(6/8)x+(2/8)

simplify

therefore

Part b

For x=-40

substitute in the equation above

y=-(3/4)(-40)+(1/4)

y=30+1/4

y=121/4

therefore

the answer part b is

Based on the given histogram on yards and the number of trees they have, the probability that a random selected yard will have fewer than 6 trees is 60%

The probability that in a random yard, the number of trees would be less than 6 trees can be found by the formula:

= Proportion of yards with 0 - 2 trees + Proportion of yards with 2 - 4 trees + Proportion of yards with 4 - 6 trees

The probability that a random yard would have fewer than six trees is therefore:

= 0.35 + 0.20 + 0.05

= 0.60

= 60%

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We can assume the kite is simetrycal along line WY, as such

because the diagonals of a kite are perpendicular.

Since m∠XSW is 90°, triangle WSX is a right triangle. Thus

By the symmetry we discussed earlier,

And finally

Given:

The formula to convert from inches to centimeters is c = 2.54n

To find:

The formula that can be used to convert from centimeters to inches

To determine the formula, we need to make n the subject of formula:

The sum of a number 'b' and 24 can be written like this:

Differentiation - The value of g'(x) = [tex]\frac{1}{10}x^{-9}[/tex].

Apart from integration, differentiation is among the two key ideas in calculus. A technique for determining a function's derivative is differentiation. Mathematicians use a process called differentiation to determine a function's instantaneous rate of change predicated on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time. Finding an antiderivative is the opposite of differentiation. The rate of change of signal with respect to y has been given by dy/dx if x and y are two variables. The general representation of a function's derivative is given by the equation f'(x) = dy/dx, where y = f(x) is any function.

Given that,

G(x) = [tex]\frac{1}{x^{10} }[/tex]

g’(x)=?

g’(x) is the derivative of g(x).

The derivative of [tex]x^{n} = nx^(n-1)[/tex]

[tex]x^{10} = 10x^(10-1)[/tex]

[tex]x^{10}= 10x^9[/tex]

Then,

[tex]\frac{1}{x^{10} }[/tex] = [tex]\frac{1}{10}x^{-9}[/tex]

Hence, The derivative of g(x) is [tex]\frac{1}{x^{10} }[/tex] = [tex]\frac{1}{10}x^{-9}[/tex].

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Answer:

125

Step-by-step explanation:180=180-(2x+45)+x+80

2x-x=80+45

x=125

Here, we want to write an equivalent expression

To do this, we use one of the laws of indices

The law is as follows;

Let L be the amount of gas Angela has at distance d. At d=0 she has 26, and we know that every 48 miles the gas decreases 2 gallons, so the rate of decrease of gas per mile is

Then, the linear equation that models this problem is

(I used the minus sign since the amount decreases).

The gas will run out of gas whe she has driven

Then the graph that best fits the model is number Z. And the answer is D.

The distance between two points on a coordinate grid can be calculated as follows;

The number that goes beneath the radical symbol is 13, that means the answer is square root 13.

This problem provides the faces of a triangular prism, and we need to calculate the surface area.

The surface area of the prism is equal to the sum of the area of all individual faces. Three faces are rectangles, while two are triangles.

The area of a rectangle can be found by using the following expression:

While the area of a triangle can be found by using the following expression:

Two rectangles are equal, with measurements 2.25 cm by 8.5 cm, one rectangle has a measurement of 6.5 cm by 2.5 cm, and the two triangles are equal with a base equal to 6.5 cm and a height of 8.5 cm, therefore we have:

And the total area is:

The surface area of the prism is approximately 108 square centimeters.

Answer: 1

Step-by-step explanation:

We are given (a + 3) - (a + 2)

To think of this another way, we can distribute the negative sign out into the (a + 2)

(a + 3) -(a) - (2)

Now our expresssion looks like this:

(a + 3) - a - 2

Simplifying, we get

a - a + 3 - 2

The a terms cancel leaving us with

3-2

and that equals

1

Answer:

1

Step-by-step explanation:

1. Rewrite

         : (a+3)-(a+2) = a + 3 - a - 2

2. Subtract

         : 3-2 = 1 ... so now the equation is a + 1 - a

3. Combine like terms

         : a -a = 0 (the a's cancel out) ... now you're left with 1

Since there is nothing left, your answer is 1.

The first compound indequality is:

We can view this in the real line:

There is no number that can be both greater AND less than 7, which makes the correct answer "No solution".

The second is:

Now, we are not looking for intercetion, we are looking for the union of both. The firts inequality takes all number less than 7 and the second all that are greater than 7, so the only one that is not a solution is 7, which means the correct answer is "all real numbers except 7"

The third is:

This is the same as the first one, but now the 7 is included in both:

So, there is only 7 that can be in both indequalitys, thus the correct answer is "one solution, 7".

The fourth is

This is similar to the second, but now 7 is included, which means it is also a solution, thus the answer is "all real numbers".

Answer

Option A is correct.

Explanation

Sample survey refers to the statistic