How tall is a building that casts a 71-ft shadow when the angle of elevation of the sun is 29 degrees.Round to the nearest foot

Answer:

-8x + (3x - 12)

Step-by-step explanation:

f(x) · g(x)

(-x + 3) · (x - 4)

(-2x · 4x) + (3x - 12)

-8x + (3x - 12)

Pls mark brainliest

The trend line is linear and the trend line has an equation of y = 500/9x  + 100

From the graph, we can see that:

The points appear to be on a straight line and it increases along the x-axis

This means that the points can appear on an approximate straight line

So, we can conclude that the trend is a linear trend

On the line, we have the following points

(x, y) = (0, 100) and (9, 600)

We start by calculating the slope of the points using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where x and y are defined above

So, we have

Slope = (600 - 100)/(9 - 0)

Evaluate

Slope = 500/9

The equation is then calculated as

y = Slope(x - x₁) + y₁

Where

(x₁, y₁) = (0, 100) and Slope = 500/9

So, we have

y = 500/9 * (x - 0) + 100

Evaluate

y = 500/9x  + 100

Hence, the equation is y = 500/9x  + 100

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Check the picture below.

[tex]tan(x )=\cfrac{\stackrel{opposite}{13}}{\underset{adjacent}{6}}\implies tan^{-1}[tan(x)]~~ = ~~tan^{-1}\left( \cfrac{13}{6} \right) \\\\\\ x~~ = ~~tan^{-1}\left( \cfrac{13}{6} \right)\implies x\approx 65^o[/tex]

Make sure your calculator is in Degree mode.

The student that has the greatest percent error is Ebony.

The percentage error will be calculated as:

= Change in value / Initial values × 100

From the table, we can see that Ebony had the greater difference in values. This will be illustrated as:

= (Measured length - Actual length) / Actual length × 100

= (2.1 - 1.6)/1.6 × 100

= 0.5 / 1.6 × 100

= 31.25%

Ebony had the higher percentage error.

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There were three different treatments: erythropoietin, darbepoetin, and no treatment. This selection exemplifies the principle of randomization principle.

In experiments, the word treatment refers to the use of a specific medicine, therapy, or condition that is controlled by the research to test the effect of the treatment on subjects. For example, if the researcher wants to find out the ideal amount of water for a plant to grow, the treatment would be the amount of water.

In the case presented, there are three treatments:

Randomization is the principle applied because the subjects are selected randomly for each of the groups and this reduces bias.

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Answer:

140

Step-by-step explanation:

The probability that at least one wheel lands on a multiple of 4 or the first value is strictly greater than 8 is 53/99

The greatest number that can be formed by the two wheels is 99

Let event A be multiple of 4

Multiples of 4 between 1 to 9 is 4,8

Probability that at least one wheel land at a multiple of 4 is

[tex]\frac{2}{9} + \frac{2}{9}[/tex] = 4/9

Let event B be first value greater than 9

P(B) = 9/99 = 1/11

P(A∩B) = 0

Probability of at least one wheel lands on a multiple of 4 or the first value is strictly greater than 8

P(A∪B) = P(A) + P(B) - P(A∩B)

= 4/9 + 1/11 - 0

= [tex]\frac{4(11)}{9 (11)} + \frac{1 (9)}{11(9)}\\\\ \frac{44 + 9}{99}\\\\ \frac{53}{99}[/tex]

Therefore, the probability that at least one wheel lands on a multiple of 4 or the first value is strictly greater than 8 is 53/99

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Step-by-step explanation:

3972/41 the answer of this is

=96.87

proper scientific notation: 3.6 x 10⁻⁵

standard form: 0.000036

Answer:36

Step-by-step explanation:

f(x)=12-3*(-8)

=36

Answer:

y = -28

Step-by-step explanation:

21 = -3/4y

so:

-3/4y = 21

divide both sides by -3/4:

(-3/4y)/(-3/4) = 21/(-3/4)

y = -28

Answer:

A

Step-by-step explanation:

the rate of change of y with respect to x.

that is the regular slope of the linear function, which is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

from (5, 2) to (10, 3)

x changes by +5 (from 5 to 10)

y changes by +1 (from 2 to 3)

the slope or rate of change is

+1/+5 = 1/5

The inequality according to the the cost of pack of paper can be written as x ≤ 14.28 and Mr. Valentino can purchase a maximum of 14 packs of paper.

What is inequality?

A connection that compares two numbers or other mathematical expressions inequitably is known as an inequality in mathematics. The majority of the time, size comparisons between two numbers on the number line are made. The two most common notations for representing various forms of inequalities are as follows:

The symbol a < b indicates that a is smaller than b.

The symbol a > b indicates that a is bigger than b.

Let's assume he can buy x pack of paper.

Cost of x pack of paper will be equal to the x times cost of 1 pack of paper

i.e. Total cost =  1.75x

Now, Mr. Valentino has $25

Therefore,

1.75x ≤  25

Inequality is ⇒  x ≤ 14.28

It tells us that Mr. Valentino can purchase only 14 packs of paper.

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Answer:

279=157+398m

Step-by-step explanation:

hope its right?

Answer:

0.5

Step-by-step explanation:

0.5 x 0.5 = 0.25

Answer:

x=0.5

Step-by-step explanation:

x=±√0.25

x=±0.5

x=0.5,−0.5

It is known that 1 gallon is 3.78541 litres.

So it follows:

Hence the value of 3.5 gallons is 13.2489 litres.

The east of the base is 6.3 km far from B.

The bearing of B, as measured from the base is 73°.

The base is 73° south vest of the B.

What is sin?

Sin is a periodic function with a period of 2π, and the domain of the function is (−∞, ∞) and the range is [−1,1]. Sin formula is used to find sides of a triangle.

Given, the distance between soldier and base is 3 km. and the bearing is 50°.

He then walked a further 4 km due east to point B.

1) the east of the base to point B = 3 sin 50° +4

= 6.3 km

2) The bearing of B is solved as

3(cos 50°) = 1.9km

then, bearing is 6.3/1.9

= 73°

3) the base is 73° south vest of the B

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Answer:

d=y-300

Step-by-step explanation:

Answer:

She worked Seven (7) hours.

Step-by-step explanation:

$112.75 is the total

she earned $62 in tips which doesn't count because the questions asked for how long she worked.

Adding tips would make the equation unreliable because how long people work doesn't really affect how much tips you get. You maybe getting 50 bucks of tips in the first and 40 in the next.

solving steps: (where x = number of hours worked)

7.25x + 62 = 112.75 <<<the true equation based on the story

7.25x = 112.75 - 62

7.25x = 50.75

x = 50.75 ÷ 7.25

x = 7

Seven (7) hours worked.

The expression that represents the Adi's height in inches is n - 5.

Expression:

An expression is the mathematical statement which consists of numbers, variables and an arithmetic operation like addition, subtraction and division etc. between them.

Given,

Adi is 5 inches short than Sunee. Sunee is n inches tall.

Here we need to find the expression for Adi's height in inches.

Through the given question we know that,

Sunee is n inches tall.

And Adi is 5 inches lesser than Sunee.

Here we have the word short or less, that represents that we have to reduce that amount from the total.

Therefore, the expression for Adi's height in inches is,

=> n - 5.

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Answer:

x = 7

Step-by-step explanation:

We have the following:

The first thing is to calculate the equation by means of the graph.

For Andrew, we can see that he starts at $ 3 and every hour that passes, he charges $ 2, therefore the equation is:

where x is the number of hours.

For Dave, we can see that he starts at $ 6 and every hour that passes, he charges $ 1.5, therefore the equation is:

where x is the number of hours.

to calculate the number of hours when the value is equal, we must match the equations like this

Which means that at 6 hours they have the same price

Answer:

44

:)

Step-by-step explanation:

The final elevation of the AUV is [tex]-31 \frac{5}{12}[/tex] feet.

Given that, AUV is at an elevation of -8.25 ft. It dives down [tex]6\frac{2}{3}[/tex] ft to collect a specimen. Then the AUV dives another [tex]15\frac{3}{4}[/tex] ft.

The angle of elevation in math is "the angle formed between the horizontal line and the line of sight when an observer looks upwards is known as an angle of elevation".

Here, the mixed fraction can be written in improper fraction

[tex]6\frac{2}{3} = \frac{20}{3}[/tex] and [tex]15\frac{3}{4}=\frac{63}{4}[/tex]

Now, 8.25 = 825/100 = 33/4

The final elevation = -33/4-20/3-63/4

= -99/4 - 20/3

= -297/12 -80/12

= - 377/12

= [tex]-31 \frac{5}{12}[/tex]

Therefore, the final elevation of the AUV is [tex]-31 \frac{5}{12}[/tex] feet.

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Step-by-step explanation:

Solution:

From the graph, the coordinates of the points A, B and C are (- 1, 0) (0, - 2) and (2, 0) respectively.

Let the equation representing the graph be y = a * x ^ 2 + bx + c

(1)

The curve represented by (i) passes through A(- 1, 0) B(0, - 2) and C(0, 2) So,

- 2 = 0 + 0 + c

c = - 2

Also 0 = a - b - 2

and 0 = a * (0.4 + 2b - 2)

⇒a a - b = 2 2a + b = 1 (ii) ..(iii)

Adding (ii) and (iii)

3a = 3

a = 1

Substituting the value of a in (ii), we have

1 - b = 2

b = - 1

The equation of the curve is y = a * x ^ 2 + bx + c i.e. y = x ^ 2 - x - 2

W'(-2 , 6),  X'(-2 , 2), Y'(-6 , 2), Z'(-6 , 5).

This is the vertices after  the 270° counterclockwise rotation.

Given vertices,

W(-6,-2), X(-2,-2), Y(-2,-6), and Z(-5, -6).

Here we have to rotate 270°.

We know that,

Rotating a point 90° counterclockwise: (x, y) → (-y, x).

Rotating  a point 180° counterclockwise: (x, y) → (-x, -y).

Rotating a point 270° counterclockwise: (x, y) → (y, -x).

So here we are rotating the figure 270°,

W(-6,-2)→ W'(-2 , 6)

X(-2,-2)→ X'(-2 , 2)

Y(-2,-6)→ Y'(-6 , 2)

Z(-5, -6)→ Z'(-6 , 5)

The vertices after rotating 270° counterclockwise about origin is:

W'(-2 , 6),  X'(-2 , 2), Y'(-6 , 2), Z'(-6 , 5).

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The equivalent expression of the given expression 60x - 24 using distributive property and greatest common factor is 12(5x-2).

Distributive property is a property with which we multiply the sum or difference of two numbers with a number. For example:

a×(b+c) = a×b + a×c

a×(b-c) = a×b - a×c

The greatest common factor is a number which is common multiple of all the given numbers.

Now, solve the given expression 60x - 24

The factors of terms

60x = 12 × 5x

24 = 12 × 2

The greatest common factor is 12, so we take 12 common and the given expression can be written as

60x - 24

= 12 × 5x - 12 × 2

= 12(5x - 2)

Hence, the equivalent expression is 12(5x-24)

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