Find the height, x, of the tree.
40°
62 ft
a) 52.02 it
b) 75.23 it
c) 21.27 it
d) 73.89 ft

The value that is added on the left-hand side to make the equation equal is -1/100.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows: multiplication, division, addition, and subtraction.

Given [1/-2  - 3/4  of -8/15],

to add a number so the sum equals the product of -7/50 and 11/14

let the number be x

according to the question,

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

taking LHS

[1/-2  - 3/4  of -8/15] = -1/2 - (3(-8)/60)

[1/-2  - 3/4  of -8/15] = -1/2 + 24/60

[1/-2  - 3/4  of -8/15] = (-30 + 24)/60

[1/-2  - 3/4  of -8/15] =-6/60 = -1/10

RHS

-7/50*11/14 = -77/700 = -11/100

substitute the values

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

-1/10 + x = -11/100

x = -11/100 + 1/10

x = (-11 + 10)/100

x = -1/100

Hence -1/100 is added to make the equation equal.

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Answer: Range = (-∞, 3) U (3, ∞)

Step-by-step explanation:

The range is the set of all y-values in a function. The easiest and most straightforward way to find the range is to graph the function and find asymptotes, or locations on the graph where the function lacks y-values.

You can plug in a few points to the equation, as shown in this table below.

After you have your points, you can draw your function following the points, as shown in the next image. Notice the line at y = 3, where the function does not cross. Although it will get infinitely close to the line, the function will never meet or cross this point at any x-value. This is what is known as a "horizontal asymptote", and is not included in the range of the function.

We can represent this asymptote in a range, which is a representation of all possible y-values in the function. The possible y-values for this function start at negative infinity and end at infinity, but do not exist at y = 3, so we represent this through this mathematical expression:

Range = (-∞, 3) U (3, ∞)

Sheffield Corp. acquired a delivery truck for $53,000 on January 1, 2022, with an expected salvage value of $11,500 at the end of its 4-year useful life. the annual depreciation expense would be ($53,000 - $11,500) / 4 = $10,375.

The cost of the delivery truck, $53,000, represents the initial investment or the initial cost of the asset. The salvage value, $11,500, is the estimated residual value of the truck at the end of its useful life.

To determine the depreciation expense each year, we can use the straight-line depreciation method. This method allocates an equal amount of depreciation expense over the useful life of the asset.

The formula for calculating annual depreciation using the straight-line method is: (Initial cost - Salvage value) / Useful life.

In this case, the annual depreciation expense would be ($53,000 - $11,500) / 4 = $10,375.

Therefore, Sheffield Corp. would record a depreciation expense of $10,375 each year for the 4-year useful life of the delivery truck. This expense represents the gradual reduction in the value of the truck over time, reflecting its wear and tear and the usage it undergoes during its operational life.

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The formula to solve Euler's Formula for e, which relates the number of vertices v, the number of edges e, and the number of faces f, of a polyhedron is e = v + f - 2.

Euler's Formula, v − e + f = 2, is a relationship between the number of edges e, the number of vertices v, and the number of faces f in a polyhedron. The formula can be rearranged to solve for e which is e = v + f - 2. This formula can be used to find the number of edges in a polyhedron when the number of vertices and faces are known. Therefore, this formula is used to calculate the number of edges in a polyhedron. The formula states that the number of vertices, minus the number of edges, plus the number of faces is always equal to 2.

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Answer:

The answer would be 80.

Step-by-step explanation:

First you want to add 16 and 24.

Next you want to multiply that answer by 2.

Then you have your answer and I hope this helps

Let X be a geometric random variable with parameter p = and let Y be a Poisson random variable with parameter A 4. Assuming X and Y independent, then the expected value of the perimeter of the rectangle is 2( + 5), and the expected value of the area is 5.

For the expected values of the perimeter and area of the rectangle, we need to calculate the expected values of X and Y first, as well as their respective distributions.

We have,

X is a geometric random variable with parameter p =

Y is a Poisson random variable with parameter λ = 4

X and Y are independent

For a geometric random variable with parameter p, the expected value is given by E(X) = 1/p. In this case, E(X) = 1/p = 1/.

For a Poisson random variable with parameter λ, the expected value is equal to the parameter itself, so E(Y) = λ = 4.

Now, let's calculate the expected values of the perimeter and area of the rectangle using the given side lengths X and Y + 1.

Perimeter = 2(X + Y + 1)

Area = X(Y + 1)

To find the expected value of the perimeter, we substitute the expected values of X and Y into the equation:

E(Perimeter) = 2(E(X) + E(Y) + 1)

            = 2( + 4 + 1)

            = 2( + 5)

To find the expected value of the area, we substitute the expected values of X and Y into the equation:

E(Area) = E(X)(E(Y) + 1)

       = ( )(4 + 1)

       = 5

Therefore, the expected value of the perimeter of the rectangle is 2( + 5), and the expected value of the area is 5.

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On the graph of the normal distribution, we would label the mean as 276,000, the standard deviation as 32,000, and shade the appropriate area to represent the probabilities we calculated.

To calculate the probabilities, we will use the normal distribution function on the calculator. The parameters we will enter are the mean, standard deviation, and the values we are interested in finding the probability for.

a. To find the probability that the next home will sell for less than $220,000.00, we need to calculate the z-score first.
z-score = (220,000 - 276,000) / 32,000 = -1.75

Using the calculator, we will enter the function:

normdist(-1.75, 0, 1, TRUE)

where -1.75 is the z-score, 0 is the mean, 1 is the standard deviation, and TRUE indicates that we want to find the area to the left of the z-score.

The result is 0.0401, which means there is a 4.01% chance that the next home will sell for less than $220,000.00.

b. To find the probability that the next home will sell for less than $350,000.00 but more than $250,000.00, we need to calculate the z-scores for both values.

z-score for $350,000 = (350,000 - 276,000) / 32,000 = 2.31
z-score for $250,000 = (250,000 - 276,000) / 32,000 = -0.81

Using the calculator, we will enter the function:

normdist(2.31, 0, 1, TRUE) - normdist(-0.81, 0, 1, TRUE)

where 2.31 and -0.81 are the z-scores for $350,000 and $250,000 respectively, 0 is the mean, 1 is the standard deviation, and TRUE indicates that we want to find the area to the left of the z-scores.

The result is 0.3758, which means there is a 37.58% chance that the next home will sell for less than $350,000.00 but more than $250,000.00.

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The hypothesis that should be written as an inequality is B. the alternative hypothesis.

The alternative hypothesis is a statement that contradicts the null hypothesis and is used to determine if there is a significant difference between two variables. It is often written as an inequality to show that there is a difference between the two variables being tested.

For example, if we are testing whether a new drug is more effective than a placebo, the alternative hypothesis would be written as "the new drug is more effective than the placebo," or in inequality form, "the effectiveness of the new drug > the effectiveness of the placebo."

In contrast, the null hypothesis is a statement that there is no significant difference between the two variables being tested. It is usually written as equality, such as "the new drug is equally effective as the placebo," or "the effectiveness of the new drug = the effectiveness of the placebo."

Therefore, the alternative hypothesis is the one that should be written as an inequality.

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Answer:

The percentage rate is 4.5%

Step-by-step explanation:

The simple interest earned in this situation is $1270 - $1000, or $270.

the simple interest formula is i =prt.

Here, i = $270 = ($1000)(r)(6 yr).

                $270

Then r = ------------------- = 0.045

                $1000(6 yr)

The percentage rate is 4.5%

Answer:

The sheet should be turned up 7.5cm on each side to obtain maximum volume.

Step-by-step explanation:

If we make a rectangular eavesdrop, by bending the sheet along dotted line, then.

Height of eaves trough = x cm

Length of eaves trough = 600 cm

Width of eaves trough =  (30 - 2x) cm

We know that Volume is given by:

V = Length · Width · Height

V = (x)(30 - 2x)(600)

V = -1200x² + 18000x

To maximize the volume, we take the derivative and put it equal to zero.

\(\frac{dV}{dx} =\frac{d}{dx}( -1200x^2 +18000x)=0\\\frac{d}{dx}( -1200x^2 +18000x) = 0\\-(2)1200x+18000=0\\-2400x+18000=0\\x=\frac{18000}{2400}\\ x=7.5cm\)

Answer: -1/2

Step-by-step explanation:

Slope=rise/run

Up 1 and to the left 2 which makes it a negative

Answer:

Answer is C

I don't know properly

I hope you like it

Answer:

A

Step-by-step explanation:

1. You have the following function that is shown in the problem above:

f(x)=(x+3)/30  

2. Then, the domain of the function f(x)=(x+3)/30 is:

All the real numbers (R)

3. Therefore, the correct answer for the exercise is the first option (Option A), which is:

A. x is the set of all real numbers.

The weight of the astronaut with gear on the moon is 80 pounds.

The pull of gravity is different on Earth than on the Moon as gravity depends on factors such as the mass of the celestial body, the radius of the celestial body, and the density of the celestial body.

The pull of gravity on Earth = 10 m/s²

Thus, Given:

Weight of object on Earth: 25 pounds

Weight is described as the product of mass and the acceleration due to gravity

Thus, 25 = 10 * mass

mass = 2.5 unit

Weight of the object on the Moon: 4 pounds

4 = 2.5 * acceleration due to gravity on the moon

Acceleration due to gravity on the moon = 1.6 m/s²

Weight of astronaut with gear on earth = 500 pounds

500 = mass * 10

mass = 50 units

Weight of astronaut with gear on earth = 50 * 1.6

= 80 pounds

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Answer:a

Step-by-step explanation:

Choice 4: P(7∩Q) = P(7) × P(Q)

Explanation in detail:

P(7∩Q) denotes the chance of selecting the secret code "7Q."

If A and B are distinct events, then

P(A∩B) = P(A) × P(B)

Let A be the occurrence of selecting a number between 0 and 9 and

Let B be the occurrence of selecting an alphabet.

A and B are clearly distinct entities.

Therefore,

P(7∩Q) = P(7) × P(Q)

Hope this helps!

x=4

Step-by-step explanation:

Distrubutive property: 5x-50=30-15x

get x on one side: 5x-50+15x=30

combine like terms: 20x-50=30

subtract on both sides: 20x=30+50

20x=80

simplify: 20/20=80/20

x=4

Answer:

164 cm^2

Step-by-step explanation:

lets find square of triangle first

corner ABD is 90 degrees coz corner ABC is 180 degrees and EBC is 90

(sum of all angles of a quadrilateral is 360,

B = 360 - C - F - E

360 - 90 - 90 - 90 = 90)

BD = CF - DE

BD = 16 - 8 = 8 cm

S ABD = AB * BD / 2 (coz corner B is 90 degrees)

S ABD = 13 * 8 / 2 = 13 * 4 = 52 cm^2

lets find square of BEFC next

S BEFC = CF * EF ( B = C = F = E = 90 so thats a rectangle)

S BEFC = 16 * 7 = 70 + 42 = 112 cm^2

finally lets find total area

S = S ABD + S BEFC = 52 + 112 = 164 cm^2

Answer:

80

Step-by-step explanation:

An isosceles has 2 angles that are the same so 50+50 is 100 so we have 80 degrees left to make a full triangle because all angles will always add up to 180 so 50+50+80 is 180 degrees

The measure of angle A, B, C are 60°,60°,60°

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

The sum of angle in a polygon is 180°. i.e

A+B + C = 180°

therefore we can say that;

2x+2x + 3x-30 = 180

7x -30 = 180

7x = 180+30

7x = 210

divide both sides by 7

x = 210/7 = 30

therefore ;

angle A = 2× 30 = 60°

angle B = 2×30 = 60°

angle C = 3×30-30 = 90-30 = 60°

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Answer:

slope:  1

y-intercept: 3

Step-by-step explanation:

The y-intercept is where the line passes through the y axis. It passes through at 3. The slope is 1 because if you apply rise over run it is 1/1 which simplifies to 1.

Hope this helps :)

Answer:

y intercept = 3 slope or m=1

Step-by-step explanation:

y=3 m=1

Answer:

x = -9/2 - 1/2y

Step-by-step explanation:

2x + y = -9

2x = -9 - y

x = -9/2 - 1/2y

Answer:

600

Step-by-step explanation:

Last years enrollment was 100% of the number.

This year, the enrollment went up by 10%, so now, it's 110% of last years number.

Let last year's enrollment be x.

110% of x is 660

1.1x = 660

x = 660/1.1

x = 600

Answer: 600

Answer:

600

Step-by-step explanation:

Answer:

n = 10

Step-by-step explanation:

let the number be n , then

45 - 3n = n + 5 ( subtract n from both sides )

45 - 4n = 5 ( subtract 45 from both sides )

- 4n = - 40 ( divide both sides by - 4 )

n = 10

One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole. As a result, it is correct, as it accurately depicts the data as a whole.

Frequencies are organized into frequency distributions, which are visual displays, to make the information easier to understand. A frequency distribution can display absolute or relative frequencies, such as ratios or percentages. A frequency distribution can be represented by a graph or a frequency table. A frequency distribution can show both the exact number of observations and the proportion of observations that fall within each range. In the latter case, the distribution is referred to as a relative frequency distribution. The frequency of observation is the number of times it appears in the data. For example, the frequency of the number 9 in the following list of numbers is 5. (Because it happens five times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9

One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole.

As a result, it is correct, as it accurately depicts the data as a whole.

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Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40

add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)

you get: 20 = \(y^{2}\)

root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

Answer:

we can't add a letter and a number so we leave it as shown in the picture above.

hope it helps.

Answer:

The smallest increment is 10 V and the uncertainty is 5 V.

Answer:

B or the cone with base radius of 1 in and vertical height of 1 in

Answer:

B

Step-by-step explanation:

It's the only one that refers to a non 3D object. It is also not a cylinder and it has a 1 inch base not 2 inch. Hope this helped. Brainliest Pls?

To solve the exercise, we replace x by -2 in the given expression:

Now, we operate:

Therefore, the result of evaluate the given expression when x = -2 is:

Answer:

4 because it is 3.6666666