19. You are laying on the ground looking up at a building. The distance between your head and the top of the
building is 60 feet. You need to look up at an angle of elevation of 55° to see the top of the building.
(Hint: draw a picture.)
a. How tall is the building?
b. How far is your head from
the base of the building?

Answer:

Step-by-step explanation:

TRUMP2020

Answer:

Step-by-step explanation:

Let's say I = amount of water Idalie drank,

A = amount of water Adamaris drank

J = amount of water Jonathan drank.

We are told Idalie drank twice as much water as Adamaris. You can write it as:

Idalie = 2 times Adamaris

I = 2A

Then we are told Jonathan drank 100ml more than Idalie. So

Jonathan = 100 + Idalie

J = 100 + I  (and we know I = 2A)

J = 100 + 2A

Between them they drank 3 liters (3L = 3000ml) of water.

Idalie + Adalie + Jonathan = 3000

I + A + J = 300

So since we know I = 2A and J = 100 + 2A, we can put it into the equation above:

2A + A + 100 + 2A = 3000

Gather the like terms and you get:

5A + 100 = 3000

Subtract 100 from both sides.

5A = 3000 - 100 = 2900

To find A, divide both sides by 5

A = 2900/5 = 580

This means Adamaris drank 580ml of water

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

The given equation: r(t) = (8 sin t) i + (6 cos t) j + (12t) k gives the position of a particle in space at time t. The velocity of the particle at time t can be calculated using the derivative of the given equation: r'(t) = 8 cos t i - 6 sin t j + 12 k We know that acceleration is the derivative of velocity, which is the second derivative of the position equation.

The magnitude of the velocity at time t is given by:|r'(t)| = √(8²cos² t + 6²sin² t + 12²) = √(64 cos² t + 36 sin² t + 144)And the direction of the velocity is given by the unit vector in the direction of r'(t):r'(t)/|r'(t)| = (8 cos t i - 6 sin t j + 12 k) / √(64 cos² t + 36 sin² t + 144)Similarly, the magnitude of the acceleration at time t is given by:|r''(t)| = √(8²sin² t + 6²cos² t) = √(64 sin² t + 36 cos² t)And the direction of the acceleration is given by the unit vector in the direction of r''(t):r''(t)/|r''(t)| = (-8 sin t i - 6 cos t j) / √(64 sin² t + 36 cos² t)Therefore, the velocity vector is: r'(t) = (8 cos t i - 6 sin t j + 12 k) / √(64 cos² t + 36 sin² t + 144)The acceleration vector is: r''(t) = (-8 sin t i - 6 cos t j) / √(64 sin² t + 36 cos² t)

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Answer:\(768\pi=1024\pi-16\pi r^2, r=4\)

Step-by-step explanation:

We are given that \(V=768\pi\), so \(768\pi=1024\pi-16\pi r^2\).

\(768\pi=1024\pi-16\pi r^2\\\\768=1024-16r^2\\\\-256=-16r^2\\\\16=r^2\\\\r=4 \text{ } (r > 0)\)

The required mean of the table is 32.71.

Mean: The formula is E(X)=μ=∑xP(x). where x represents the value of the random variable X, P(x) represents the corresponding probability, and the symbol Σ represents the sum of all products xP(x). Here we use the symbol μ for mean, since it is a parameter. Represents the population mean.

Mean=Total of household/Total number of dogs

⇒ \(\frac{(323+176+87+51+32+8+10)}{(0+1+2+3+4+5+6)}\)=\(\frac{687}{21}\)=32.71

Standard Deviation: Standard deviation is calculated as the square root of variance by determining the deviation of each data point from the mean. If the data points are far from the mean, there will be more variation within the data set. Therefore, the wider the data, the higher the standard deviation.

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"To determine how reliable a poll is, one must first determine," is a. the margin of error.

All polls contain errors, and the margin of error is a measure of how much the poll results may deviate from the true population values. A larger margin of error means that the poll results are less reliable, while a smaller margin of error indicates greater reliability. While factors such as sample size and standard deviation can also impact the accuracy of a poll, the margin of error is the most important factor to consider when determining its reliability.

The margin of error is a measure of the variability and potential error in poll results due to the randomness of selecting a sample from the population. It provides an estimate of how closely the poll's results represent the views of the entire population. A smaller margin of error indicates a more reliable poll. The standard deviation, inaccuracy rate, and sample size are also important factors, but the margin of error is the key indicator of a poll's reliability.

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Answer: 8

Step-by-step explanation:

A box plot has 5 data descriptions. The correct option is b, 8.

A box plot has 5 data descriptions.

As it is known about the box-plot that the mid-line shows the median of the data, therefore, the median of the given box-plot is 8.

Hence, the correct option is b, 8.

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The vertical asymptotes for the given function are x = 4 and x = -4.`Therefore, Student A is correct in their approach and final answer.

Given the rational function is `f(x) = (x + 3) / (x² - 16)`.To find the vertical asymptote for the given rational function `f(x) = (x + 3) / (x² - 16)` for four students and to identify who is correct in their approach and final answer, first, we have to find the vertical asymptote of the given function. We know that the vertical asymptotes occur at the zeroes of the denominator when the numerator is not zero. Thus, the denominator must equal zero at `x = -4` and `x = 4`. So, the vertical asymptotes occur at `x = -4` and `x = 4`.Hence, the correct approach and final answer for vertical asymptote of the given rational function is Student A.  Student A: `The vertical asymptotes are the vertical lines that indicate where the function becomes unbounded. These lines occur when the denominator of the rational function is zero and the numerator is not zero.

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The question asks for four students determined the vertical asymptote for this rational function. The correct approach and answer is needed.

Therefore, the correct student's answer is (D) which indicates there are three vertical asymptotes at x = –2,

x = 1, and

x = 4.

Let's find the answer to the question: To find the vertical asymptote of the rational function, we need to find out when the denominator is equal to zero. We can factor the denominator, so we have (x + 2) (x – 1) (x – 4). The denominator will be equal to zero when any of the three factors are equal to zero:

(x + 2) = 0

(x – 1) = 0,

or (x – 4) = 0.

Solving each equation, we find the following values for x:

x = –2,

x = 1,

and x = 4

Therefore, the correct student's answer is (D) which indicates there are three vertical asymptotes at x = –2,

x = 1, and

x = 4.

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Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

Answer:

9) 1,2,3,6,9,18,27,54

10) 1, 2, 4, 5, 10, 20, 25, 50, 100

11) 1 , 3 , 5 , 15 , 25 and 75

12) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120

To approximate the sum of the series [infinity] (−1)n 5n/(n!), we can use the alternating series test. To approximate the sum, we can calculate the partial sums and stop when the terms become insignificant.


1. The alternating series test states that if a series (-1)n an is such that the absolute value of the terms decrease and tend to zero as n approaches infinity, then the series converges.
2. In this series, the terms (-1)n 5n/(n!) decrease as n increases because the factorial term in the denominator grows faster than the exponential term in the numerator.
3. Therefore, we can conclude that the series converges.

The sum of the series [infinity] (-1)n 5n/(n!) converges.
To approximate the sum, we can calculate the partial sums and stop when the terms become insignificant.

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Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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Answer:C

Step-by-step explanation:

288 divided by 4 equals 72

Option C is correct, y=72x is the equation which represents the number of times her heart beats per minutes.

A division is a process of splitting a specific amount into equal parts.

The equation that represents the relationship between the number of times Lupe's heart beats per minute and the time (in minutes) is:

y = 72x

where y is the number of times Lupe's heart beats per minute, and x is the time in minutes.

We can see this by dividing the total number of heart beats by the time in minutes:

y = (288 beats / 4 minutes) = 72 beats/minute

Hence, y=72x is the equation which represents the number of times her heart beats per minutes.

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Answer:

Hola

Step-by-step explanation:

Answer with explanation:

Two or more Algebraic expressions are said to be equivalent, if both the expression produces same numerical value , when variable in the expressions are replaced by any Real number.

The two expressions are

1. 7 x +4

2. 3 x +5 +4 x =1

Adding and subtracting Variables and constants

→7 x +5=1

→7 x +5-1

→7 x +4

→ When x=2,

7 x + 4 =7×2+4

=14 +4

=18

So, Both the expression has same value =18.

→So, by the definition of equivalent expression, when ,you substitute , x by any real number the two expression are equivalent.

Correct options among the given statement about the expressions are:

1.When x = 2, both expressions have a value of 18.

2.The expressions have equivalent values for any value of x.

3.The expressions have equivalent values if x = 8.

We can simplify \((16x^4)^(-1/2) to 1/(4x^2)\) using the properties of rational exponents.

Certainly! Here's an example:

Simplify the expression: \((16x^4)^(-1/2)\)

We can apply the property of rational exponents which states that \((a^m)^n = a^(m*n)\). Using this property, we get:

\((16x^4)^(-1/2) = 16^(-1/2) * (x^4)^(-1/2)\)

Next, we can simplify \(16^(-1/2)\) using the rule that \(a^(-n) = 1/a^n\):

\(16^(-1/2) = 1/16^(1/2) = 1/4\)

Similarly, we can simplify \((x^4)^(-1/2)\) using the rule that \((a^m)^n = a^(m*n)\):

\((x^4)^(-1/2) = x^(4*(-1/2)) = x^(-2)\)

Substituting these simplifications back into the original expression, we get:

\((16x^4)^(-1/2) = 1/4 * x^(-2) = 1/(4x^2)\)

Therefore, the simplified expression is \(1/(4x^2).\)

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Joe Slo had 55 pairs of dirty socks and 11 t-shirts thrown out.

Answer:

[See Below]

Step-by-step explanation:

✦ Given that \(y=x+2\) the next numbers would be:

  ✧ \(13\)

  ✧ \(15\)

  ✧ \(17\)

  ✧ \(19\)

✦ Given that \(y=x+x\) the next numbers would be:

  ✧ \(48\)

  ✧ \(96\)

  ✧ \(192\)

  ✧ \(384\)

  ✧ \(768\)

~Hope this helps Mate. If you need anything fell free to message me.

Answer:

c

Step-by-step explanation:

There inside the transversal and there alternate angles

The volume of a box is the amount of space in it.

The maximum value of the box is 361.186in³

The volume of the largest box is 22.559in³

The dimension of the cardboard is given as:

Length = 23

Width = 13

Assume the cut-out is x.

So, the dimension of the box is:

Length = 23

Width = 13

Height = x

The volume of the box is:

V = (23 - 2x ) (13 - 2x)x

Expand

V = 299 - 72x² + 4x³

Differentiate

V = 299 - 144x + 12x²

Set to 0

V = 299 - 144x + 299 = 0

Using a calculator, we have:

x = (2.67, 9.33)

9.33 is greater than the dimensions of the box.

So, the possible value of x is:

x = 2.67

Recall that:

V = 299 - 72x² + 4x³

So, we have:

V = 299 (2.67) - 72 (2.67)² + 4(2.67)³

Hence, the maximum value of the box is 361.186in³

If the dimension of the cardboard is s,

The dimension of the box would be:

Length = s - 2x

Width = s - 2x

Height = s

So, the volume is:

V = (s - 2x) (s - 2x)s

Substitute x = 2.67

V = (s - 2.34) (s - 2 × 2.67) (s - 2 × 2.67)s

V = (s - 5.34) (s - 5.34)s

Expand

V = (s - 5.34) (s² - 5.34s)

V = s³ - 5.34s² - 5.34s² + 28.5156s

V = s³ - 10.68²  - 5.34s² + 28.5156s

Integrate

= 3s²  -21.36s + 28.5156 = 0

Using a calculator, we have:

s = (1,78,5.34)

5.34 is greater than the side lengths. So, we have:

s = 1.78

Recall that:

V = s³  - 10.68² + 28.5156s

So, we have:

V = 1.78 - 10.68 × 1.78² + 28.5156 × 1.78

V = 22.559

Hence, the volume of the largest box is 22.559.

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Chanta have paid $2232 for the computer.

To calculate the total amount Chanta will have paid for the computer,

we need to multiply the monthly payment by the number of months in the loan term.

Chanta will pay $62 per month for 3 years, which is a total

= 3 x 12

= 36 months.

and, the total amount paid for the computer will be

= $62 x 36

= $2232.

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Answer:

The scale factor is 4.5

Step-by-step explanation:

Scale factor from ∆RST to ∆XYZ = side length of ∆XYZ / corresponding side length of ∆RST

Thus:

XY corresponds to RS

XY = 45

RS = 10

Therefore:

Scale factor = 45/10 = 4.5

Scale factor from ∆RST to ∆XYZ = 4.5

Answer: Alright, I did UnU

Answer:

The answer is 3 1/4

Step-by-step explanation:

I hope this helps! :)

Answer:

3 1/4

Step-by-step explanation:

Answer:

j=816 inch

Step-by-step explanation:

J^+K^+L^=180° (sum of int. angles of triangle)

L^+11+63=180

L^=106°

j/sinJ=l/sinL

j/sin63=880/sin106

j*sin106/sin106=880*sin63/sin106

j=815.6

j=816 inch