A box of candy is shaped like a rectangular pyramid. The volume of the candy box measures 120 cubic inches. The area of the base of the candy box is 18 square inches. What is the height of the candy box?

Answers

Answer 1

The height of the candy box is 20 inches.

To find the height of the candy box, we can use the formula for the volume of a rectangular pyramid:

Volume = (1/3) * Base Area * Height

Given:

Volume = 120 cubic inches

Base Area = 18 square inches

Plugging in these values into the formula, we have:

120 = (1/3) * 18 * Height

To solve for the height, we can isolate it by multiplying both sides of the equation by 3 and dividing by the base area:

3 * 120 = 18 * Height

360 = 18 * Height

Height = 360 / 18

Height = 20

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Related Questions

Let $z_1$ and $z_2$ be complex numbers such that $\frac{z_2}{z_1}$ is pure imaginary and $2z_1 \neq 7z_2.$ Compute \[\left| \frac{2z_1 7z_2}{2z_1 - 7z_2} \right|.\]

Answers

The absolute value of the expression is given by:

\(\[\left| \frac{2z_1 7z_2}{2z_1 - 7z_2} \right| = \frac{|k|\cdot |14i - 49k|\cdot |z_1^3|}{|z_1|\cdot |4 - 28ki + 49k^2|}.\]\)

Let's start by simplifying the expression inside the absolute value:

\(\[\frac{2z_1 \cdot 7z_2}{2z_1 - 7z_2}.\]\)

To make progress, we'll multiply both the numerator and denominator by the conjugate of the denominator:

\(\[\frac{2z_1 \cdot 7z_2}{2z_1 - 7z_2} \cdot \frac{2z_1 + 7z_2}{2z_1 + 7z_2}.\]\)

Expanding the numerator, we have:

\(\[2z_1 \cdot 7z_2 \cdot (2z_1 + 7z_2) = 14z_1^2z_2 + 49z_1z_2^2.\]\)

Expanding the denominator, we have:

\([(2z_1)(2z_1) + (2z_1)(7z_2)] + [(7z_2)(2z_1) + (7z_2)(7z_2)] = 4z_1^2 + 14z_1z_2 + 14z_1z_2 + 49z_2^2 = 4z_1^2 + 28z_1z_2 + 49z_2^2.\)

Putting it all together, the expression becomes:

\(\[\frac{14z_1^2z_2 + 49z_1z_2^2}{4z_1^2 + 28z_1z_2 + 49z_2^2}.\]\)

Now, we can take the absolute value:

\(\[\left| \frac{14z_1^2z_2 + 49z_1z_2^2}{4z_1^2 + 28z_1z_2 + 49z_2^2} \right| = \frac{|14z_1^2z_2 + 49z_1z_2^2|}{|4z_1^2 + 28z_1z_2 + 49z_2^2|}.\]\)

Since\($\frac{z_2}{z_1}$\) is pure imaginary, we have \($z_2 = ki z_1$\) for some real number \($k.$\) Substituting this into the expression, we get:

\(\[\frac{|14z_1^2(ki z_1) + 49z_1(ki z_1)^2|}{|4z_1^2 + 28z_1(ki z_1) + 49(ki z_1)^2|}.\]\)

Simplifying, we have:

\(\[\frac{|14kz_1^3i + 49k^2z_1^3i^2|}{|4z_1^2 + 28kz_1^2i - 49k^2z_1^2|} = \frac{|14kz_1^3i - 49k^2z_1^3|}{|z_1^2(4 - 28ki + 49k^2)|}.\]\)

Since\($2z_1 \neq 7z_2,$\) we have \($2 \neq 7ki,$\) which implies \($k \neq \frac{2}{7i}.$\)Therefore, \($4 - 28ki + 49k^2 \neq 0,$ so $z_1^2(4 - 28ki +49k^2) \neq 0,$\) which means we can cancel it from the expression:

\(\[\frac{|14kz_1^3i - 49k^2z_1^3|}{|z_1^2(4 - 28ki + 49k^2)|} = \frac{|14kz_1^3i - 49k^2z_1^3|}{|z_1^2|\cdot |4 - 28ki + 49k^2|}.\]\)

Since \($|ab| = |a|\cdot |b|,$\) we have:

\(\[\frac{|14kz_1^3i - 49k^2z_1^3|}{|z_1^2|\cdot |4 - 28ki + 49k^2|} = \frac{|14ki - 49k^2|\cdot |z_1^3|}{|z_1^2|\cdot |4 - 28ki + 49k^2|}.\]\)

Finally, we can simplify the expression further:

\(\[\frac{|14ki - 49k^2|\cdot |z_1^3|}{|z_1^2|\cdot |4 - 28ki + 49k^2|} = \frac{|k|\cdot |14i - 49k|\cdot |z_1^3|}{|z_1|\cdot |4 - 28ki + 49k^2|}.\]\)

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Which expression is equivalent to (8^2)^-4

Which expression is equivalent to (8^2)^-4

Answers

Answer:

C: \(\frac{1}{8*8*8*8*8*8*8*8}\)

Step-by-step explanation:

\(a^{-n} = \frac{1}{a^n}\)

Since a = \(8^2\) :

\((8^2)^{-n} = \frac{1}{(8^2)^n} =\frac{1}{8^{2n}}\)

Since n = 4 :

\((8^2)^{-4} =\frac{1}{8^{2*4}}=\frac{1}{8^{8}}=\frac{1}{8*8*8*8*8*8*8*8}\)

R-1.3 Algorithm A uses 10n log n operations, while algorithm B uses n2 operations. Determine the value n0 such that A is better than B for n ≥ n0.
R-1.4 Repeat the previous problem assuming B uses n √n operations.
I only need R-1.4!!

Answers

For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

To determine the value of n₀ for which Algorithm A is better than Algorithm B when B uses n√n operations, we need to find the point at which the number of operations for Algorithm A is less than the number of operations for Algorithm B.

Algorithm A: 10n log n operations

Algorithm B: n√n operations

Let's set up the inequality and solve for n₀:

10n log n < n√n

Dividing both sides by n gives:

10 log n < √n

Squaring both sides to eliminate the square root gives:

100 (log n)² < n

To solve this inequality, we can use trial and error or graph the functions to find the intersection point. After calculating, we find that n₀ is approximately 459. Therefore, For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

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R-1.3: For \($n \geq 14$\), Algorithm A is better than Algorithm B when B uses \($n^2$\) operations.

R-1.4: Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

R-1.3:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n^2$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n^2$\)

\($10 \log n < n$\)

\($\log n < \frac{n}{10}$\)

To solve this inequality, we can plot the graphs of \($y = \log n$\) and \($y = \frac{n}{10}$\) and find the point of intersection.

By observing the graphs, we can see that the two functions intersect at \($n \approx 14$\). Therefore, for \($n \geq 14$\), Algorithm A is better than Algorithm B.

R-1.4:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n\sqrt{n}$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n\sqrt{n}$\)

\($10 \log n < \sqrt{n}$\)

\($(10 \log n)^2 < n$\)

\($100 \log^2 n < n$\)

To solve this inequality, we can use numerical methods or make an approximation. By observing the inequality, we can see that the left-hand side \($(100 \log^2 n)$\) grows much slower than the right-hand side \($(n)$\) for large values of \($n$\).

Therefore, we can approximate that:

\($100 \log^2 n < n$\)

For large values of \($n$\), the left-hand side is negligible compared to the right-hand side. Hence, for \($n \geq 1$\), Algorithm A is better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

So, for R-1.4, the value of \($n_0$\) is 1, meaning Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

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R-1.3 Algorithm A uses 10n log n operations, while algorithm B uses n2 operations. Determine the value

Meg used this table to track the average attendance from month to month at her theater for five months. A 5-column table with 1 row is titled Percent Increase and Decrease. Column 1 is labeled October with entry negative 1. Column 2 is labeled November with entry 0.5. Column 3 is labeled December with entry negative 0.9. Column 4 is labeled January with entries three-fourths. Column 5 is labeled February with entry one-half. A number line going from negative 1 to positive 1 in increments of 0.25. Graph the numbers on the number line. Choose the inequality symbol that makes each comparison true. Nov. Feb. Oct. Dec. Jan. Nov.

Answers

Answer:

B - Her monthly average would have increased by $19.57. ... Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month ... Lisa is currently taking physics as one of her electives in school.

Step-by-step explanation:

Answer:

Nov. ✔ = Feb.

Oct. ✔ < Dec.

Jan. ✔ > Nov.

Step-by-step explanation:

Edge 2022

for the grand opening, al's furniture store offered a spin the wheel for a discount to its customers. customers would spin the wheel and receive a discount on a single item of purchase. the wheel is divided into 12 equal slices. 6 slices awarded a 10% discount, 3 slices awarded a 20% discount, 2 slices awarded a 40% discount, and 1 slice awarded a 100% discount. what is the probability that a customer gets a 10% or 20% discount?

Answers

At the grand opening, al's furniture store, there is offering spin wheel for discount. The probability that a customer gets a 10% or 20% discount is equals to the 0.75.

At the grand opening, al's furniture store, it offered a spin the wheel for a discount to its customers. The wheel is divided into 12 equal slices.

The percentage of discount awarded by 6 slices = 10%

The percentage of discount awarded by 3 slices = 20%

The percentage of discount awarded by 2 slices = 40%

The percentage of discount awarded by 1 slices

= 100%

We have to determine the probability that a customer gets a 10% or 20% discount. As we see all slices are independent to each other so events related to these also independent.

We have total 12 slices. Since, 6 slices awarded for 10% discount i.e. chances of getting 10% discount is equal = 6/12

Similarly, 3 slices awarded for 20% discount i.e. chances of getting 20% discount is 3/12.

Hence chances of getting 10% or 20% discount is

= P( X = 20%) + P( X= 10%)

= 6/12 + 3/12

= 1/2 + 1/4

= 0.50 + 0.25

= 0.75

Hence, required value is 0.75.

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for the grand opening, al's furniture store offered a spin the wheel for a discount to its customers.

write an expression for jack makes 60% of the free throws he shoots. If he shot 5 free throws in his first game, 8 free throws in his second game, and 2 free throws in his third game, how many free throws would you expect that he made?

Answers

9, becasuse all that adds up to 15 and 60% of 15 is 9

Help aspp please thank you

Help aspp please thank you

Answers

The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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I need to find the surface area

I need to find the surface area

Answers

Answer:

45

Step-by-step explanation:

3*3=9*5=45  

your welcome

AD and EC are diameters of 0. OB is a radius. Classify each statement as true or false. AOC = 100​

AD and EC are diameters of 0. OB is a radius. Classify each statement as true or false. AOC = 100

Answers

Therefore , the solution of the given problem of circle comes out to be this statement is true  ∠AOC = 100° .

Circle – what is it?

Each area of a plane with a specific distance from this additional spot forms a circle (center). Thus, it comprises of curved spots that are separated from one another and separated by the surface. Additionally, it rotates evenly around the centre from all sides. Every set of endpoints in a circular, constrained double sphere is uniformly spaced apart from the "centre."

Here,

Given :

AD and EC are diameters as we can see they are passing through centre .

So , there are diameter.

=> ∠AOC = ∠A0B + ∠BOC

=> ∠AOC = 100°

thus , this statement is true  ∠AOC = 100° .

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determine the graph of the polar equation 9/1-3sin theta

Answers

Answer: can you show us the graph?

Step-by-step explanation:

The price of a box of pencils has been steadily increasing by $1.10 per year. The cost of a box of pencils is now $2.19. (3 pts)

Answers

Answer:

Step-by-step explanation:

We can use algebra to determine how many years it has been since the cost of a box of pencils was $0.00, and therefore calculate how many years the price has been increasing by $1.10 per year.

Let's say that x is the number of years since the cost of a box of pencils was $0.00.

If the price of a box of pencils is increasing by $1.10 per year, then the cost of a box of pencils x years after it cost $0.00 would be:

$0.00 + ($1.10 * x)

We know that the current cost of a box of pencils is $2.19. Setting this equal to the expression above, we can solve for x:

$0.00 + ($1.10 * x) = $2.19

$1.10 * x = $2.19

x = $2.19 / $1.10

x = 1.99

So, it has been approximately 1.99 years (or just under 2 years) since the cost of a box of pencils was $0.00, and the price of a box of pencils has been steadily increasing by $1.10 per year during that time.

Assume the learning model consists of all hypotheses of the form h(x) = ax. What is the expected value, ¯g(x), of the hypothesis produced by the learning algorithm (expected value with respect to the data set)? Express your ¯g(x) as axˆ , and round ˆa to two decimal digits only,

Answers

The expected value of the hypothesis generated by the learning algorithm is zero.

Assume the learning model consists of all hypotheses of the form h(x) = ax. The question asked to calculate the expected value, ¯g(x), of the hypothesis produced by the learning algorithm (expected value with respect to the data set). We have to express our answer as axˆ and round ˆa to two decimal digits only.

Explanations: Given, the learning model consists of all hypotheses of the form `h(x) = ax`. Expected value of hypothesis generated by the learning algorithm is given by:

¯g(x) = E(h(x))

= E(a x)

Now, E(x) is the expected value of the random variable `x`. If the data set has uniform distribution on [−1,1], then E(x) = 0. Therefore, ¯g(x) = E(h(x))

= E(a x)

= a E(x)

= a * 0

= 0

Thus, the expected value of the hypothesis generated by the learning algorithm is zero. Therefore, the answer is 0x^. The final answer is 0.00.

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Solve the inequality 61 + 14c > 600.​

Answers

Answer:

c > 38.5

Step-by-step explanation:

14c > 600 - 61

14c > 539

c > 38.5

What is the slope of the line on the graph?

What is the slope of the line on the graph?

Answers

Slope is rise over one so this lines slope is 1/2 or 0.5

Find the value of the expression 60 -16/2+10(3)
HELP ME

Answers

Answer:

82

Step-by-step explanation:

60 - 16/2 + 10(3)

60 - 16/2 + 30              multiplication

60 - 8 + 30                    division

 52 + 30                       addition or subtraction in order from left to right

 82

 

state the family of function

y=5x³+3x−1

Answers

It’s in the cube family.

Which is cubic family

Play play players are 3/10 of a band and the trumpet players are 1 / 12 of the band. is a greater fraction of the bands flute players or trumpet players

Answers

The fraction which is greater is 3/10. That means there are more flute players than trumpet players in the band.

How do you prove that?

Perhaps what you meant was "Which is the greater fraction of the bands: flute players or trumpet players?"

First of all, we need to make the denominators of fraction 3/10 and 1/12 the same so we can actually compare the given fractions. To do this, we can take the least common multiple (LCM) of the denominators and multiply the numerator and denominator of each fraction by certain numbers so that the denominators equal to the LCM.

The multiples of 12 are 12, 24, 36, 48, 60 etc. The multiples of 10 are 10, 20, 30, 40, 50, 60 etc. Notice that the first common multiple is 60. That's the LCM of 12 and 10.

\(\frac{3\times 6}{10\times 6}=\frac{18}{60}\)\(\frac{1\times 5}{12\times 5}=\frac{5}{60}\)

3/10 is equal to 18/60 while 1/12 is equal to 5/60. 18 is greater than 5 so the first fraction is greater, which means there are more flute players than there are trumpet players in the band.

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If 111 is divided into pieces that are each \dfrac19
9
1

start fraction, 1, divided by, 9, end fraction of a whole, how many pieces are there?
1\div\dfrac19=1÷
9
1

=1, divided by, start fraction, 1, divided by, 9, end fraction, equals

Answers

The results of dividing 1 into pieces that are each 1/9 of a whole is 9

Division of fraction

1 ÷ 1/9

multiply by the reciprocal of 1/9 which is 9/1

1 ÷ 1/9

= 1 × 9/1

= (1 × 9) / (1 × 1)

= 9/1

= 9

Complete question:

If 1 is divided into pieces that are each 1/9 of a whole, how many pieces are there

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Which represents where f(x) = g(x)?

Which represents where f(x) = g(x)?

Answers

The equation represents the intersections. The correct option is A:

f(2) = g(2) = 0f(0) = g(0) = 4.

Which represents where f(x) = g(x)?

If we have two functions:

y = f(x) and y = g(x), the equation:

f(x) = g(x) gives the value of x such that the two functions have the same output. So, that equation gives the intersection points between the two graphs.

By looking at the graph, we can see that we have two intersections, one at:

(2, 0) and other at (0, 4).

This means that:

f(2) = g(2) = 0f(0) = g(0) = 4.

So the correct option is the first one.

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A chain smoker smokes five cigarettes every hour. From each cigarette, 0.4 mg of nicotine is absorbed into the person's bloodstream. Nicotine leaves the body at a rate proportional to the amount present, with constant of proportionality -0.346 if t is in hours.

A) write a differential equation for the level of nicotine in the body, N, in mg, as a function of time, t, in hours.

dN/dt=

B) Solve the differential equation from part A). Initially there is no nicotine in the blood. Round any calculations to two decimal places.

N=

C) The person wakes up at 7 am begins smoking. How much nicotine is in the blood when the person goes to sleep at 11 pm (16 hours later)?

Round your answer to two decimal places.

N=

Answers

A. The differential equation for the level of nicotine in the body, N, in mg, as a function of time, t, in hours is dN/dt = -0.346N + 2.00, where N(0) = 0.

B. The solution to the differential equation is N(t) = 5.79 - 4.79e^(-0.346t). When t = 16, N(16) = 2.46 mg of nicotine in the blood.

A. The rate at which nicotine enters the body is 5 cigarettes per hour, and 0.4 mg of nicotine is absorbed from each cigarette. Thus, the rate of change of the nicotine level in the body is the rate at which nicotine enters the body minus the rate at which it leaves the body.

Using the constant of proportionality -0.346, the differential equation is dN/dt = -0.346N + 2.00, where N(0) = 0.

B. To solve the differential equation, we first find the general solution by separating variables and integrating both sides. This yields ln|N(t) - 5.79| = -0.346t + C, where C is the constant of integration.

Since N(0) = 0, we can solve for C and get C = ln(5.79). Thus, the solution is N(t) = 5.79 - 4.79e^(-0.346t). Finally, when t = 16, N(16) = 2.46 mg of nicotine in the blood.

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a. The differential equation for the level of nicotine in the body is dN/dt = 2 - 0.346N

b. The differentiation equation can be solve as N = (2 + e^(-0.346t + C')) / 0.346

c. The amount of nicotine in the blood when the person goes to sleep at 11 pm is approximately 0.34 mg

A) To write a differential equation for the level of nicotine in the body, N, as a function of time, t, we need to consider the rate at which nicotine enters and leaves the body.

The rate at which nicotine enters the body is given by the number of cigarettes smoked per hour multiplied by the amount of nicotine absorbed from each cigarette. In this case, it is 5 cigarettes per hour multiplied by 0.4 mg per cigarette, which is 2 mg per hour.

The rate at which nicotine leaves the body is proportional to the amount of nicotine present, with a constant of proportionality of -0.346.

Therefore, the differential equation for the level of nicotine in the body is:

dN/dt = 2 - 0.346N

B) To solve the differential equation, we can separate variables and integrate. Rearranging the equation:

dN/(2 - 0.346N) = dt

Integrating both sides:

∫dN/(2 - 0.346N) = ∫dt

Using a substitution u = 2 - 0.346N and du = -0.346dN:

∫(-1/0.346) du/u = ∫dt

(-1/0.346) ln|u| = t + C

Substituting back u = 2 - 0.346N:

(-1/0.346) ln|2 - 0.346N| = t + C

Simplifying and rearranging:

ln|2 - 0.346N| = -0.346t + C'

Taking the exponential of both sides:

|2 - 0.346N| = e^(-0.346t + C')

Since the absolute value can be positive or negative, we consider two cases:

2 - 0.346N = e^(-0.346t + C') (positive)

-(2 - 0.346N) = e^(-0.346t + C') (negative)

Solving each case separately:

2 - 0.346N = e^(-0.346t + C')

N = (2 - e^(-0.346t + C')) / 0.346

-(2 - 0.346N) = e^(-0.346t + C')

N = (2 + e^(-0.346t + C')) / 0.346

C) Given that the person wakes up at 7 am and goes to sleep at 11 pm, the duration is 16 hours. We can substitute t = 16 into the equation to find the nicotine level N at that time:

N = (2 - e^(-0.346*16 + C')) / 0.346

Since initially there is no nicotine in the blood, N(0) = 0, we can solve for C' by substituting N = 0 and t = 0:

0 = (2 - e^(-0.346*0 + C')) / 0.346

0 = (2 - e^C') / 0.346

e^C' = 2

C' = ln(2)

Substituting the value of C' into the equation:

N = (2 - e^(-0.346*16 + ln(2))) / 0.346

Calculating this expression, we find that the amount of nicotine in the blood when the person goes to sleep at 11 pm is approximately 0.34 mg (rounded to two decimal places).

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Enter the ordered pair for the vertices for rx-
axis(qrst).
q= (1,3)
r= (3,-3)
s= (0,-2)
t= (-2,1)
q' = ()
r' = ()
s'= ( )
t' = ()
Pls help I need it really soon

Answers

Answer:

q1 (1,-3)

r1 (3,3)

s1 (0,2)

t1 (-2,-1)

Step-by-step explanation:

When a shape is reflected, it must be reflected across a line

The vertices for \(\mathbf{rx-axis}\) of qrst are:

\(\mathbf{q'(1,-3)}\)\(\mathbf{ r'(3,3)}\)\(\mathbf{ s'(0,2)}\)\(\mathbf{t'(-2,-1)}\)

The given parameters are:

\(\mathbf{q = (1,3)}\)

\(\mathbf{r = (3,-3)}\)

\(\mathbf{s = (0,-2)}\)

\(\mathbf{s = (-2,1)}\)

The transformation rule is given as:

\(\mathbf{rx-axis}\)

The above rule means that the vertices are reflected over the x-axis

The rule of the transformation is:

\(\mathbf{(x,y) \to (x,-y)}\)

So, we have:

\(\mathbf{q(1,3) \to q'(1,-3)}\)

\(\mathbf{r(3,-3) \to r'(3,3)}\)

\(\mathbf{s(0,-2) \to s'(0,2)}\)

\(\mathbf{t(-2,1) \to t'(-2,-1)}\)

Hence, the vertices for \(\mathbf{rx-axis}\) of qrst are:

\(\mathbf{q'(1,-3)}\)

\(\mathbf{ r'(3,3)}\)

\(\mathbf{ s'(0,2)}\)

\(\mathbf{t'(-2,-1)}\)

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Question 1
If your train travels at 65 miles per
hour for 3.5 hours, how far will it
go?

Answers

If your train travels at 65 miles per hour for 3.5 hours, it go 227.5 miles.

What is Speed ?

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

Given:

Speed S = 65 miles per hour

Time T = 3.5 hours

We know that,

S= D/T  Where D is the distance traveled.

Therefore,

65 miles per hour = D/ 3.5 hours

D = 65 x 3.5 miles

=227.5 miles

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I need the answer for this question, please

I need the answer for this question, please

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neither is correct.

please help me!!! Finals today DESPERATE

please help me!!! Finals today DESPERATE

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For the figure 7, the measure of each angle is:

a) m ∠1=131°

b) m ∠2=49°

c) m ∠3=92°

d) m ∠4=88°

e) m ∠5=92°

f) m ∠6=88°

g)  m ∠8=49°

h) m∠9=92°

i) m ∠10=88°

j) m ∠11=131°

k) m ∠12=49°

l) m ∠13=131°

m) m ∠14=49°

n) m ∠15=92°

For the figure 8,

a) m ∠1=12°

b) m ∠3=105°

c) m ∠4=12°

d) m ∠5= 63°

e) m ∠6=105°

f) m∠7=105°

g) m ∠8=105°

h) m ∠11=12°

i) m ∠12=168°

j) m ∠13=12°

k) m ∠14=168°

What is meant by an angle?

An angle in Euclidean geometry is the figure produced by two rays, called the sides of the angle, that have a common termination, called the vertex of the angle. Angles formed by two rays lie in the plane containing the rays. Angles are also generated by the intersection of two planes. These are referred to as dihedral angles. Two intersecting curves can also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection.

7) From the figure,

m ∠7=131°

m ∠7=m ∠1

m ∠1=131°

m ∠1+m ∠7+m ∠2+m ∠8=360°

131°+131°+ m ∠2+m ∠8=360°

m ∠2+m ∠8=360°-262°

m ∠2+m ∠8=98°

m ∠2=m ∠8

2m ∠2=98°

m ∠2=49°

m ∠8=49°

And also given that,

m ∠16= 88°

m ∠10=88°

m ∠10+m ∠16+m ∠9+m ∠15=360°

m ∠9+m ∠15=360°-176°

=184°

m ∠9=92°

m ∠15= 92°

m ∠11=m ∠7

m ∠11=131°

m ∠11=m ∠13

m ∠12= m ∠14=m ∠2= m ∠8=49°

m ∠10= m ∠16= m ∠6=m ∠4=88°

m ∠3=m ∠5= m∠9=m ∠15=92°

a) m ∠1=131°

b) m ∠2=49°

c) m ∠3=92°

d) m ∠4=88°

e) m ∠5=92°

f) m ∠6=88°

g)  m ∠8=49°

h) m∠9=92°

i) m ∠10=88°

j) m ∠11=131°

k) m ∠12=49°

l) m ∠13=131°

m) m ∠14=49°

n) m ∠15=92°

8) From the figure,

m ∠2=63°, m ∠9=105°

m ∠2=m ∠5= 63°

m ∠6+ m ∠5+m ∠4=180°

m ∠9= m∠7=m ∠6=m ∠3=105°

m ∠4=180°-63°-105°

m ∠4=12°

m ∠4=m ∠1= m ∠13=m ∠11=12°

m ∠11+m ∠13+m ∠12+m ∠14=360°

m ∠12=m ∠14

2m ∠12=360°-24°=336°

m ∠12=168°

m ∠12=m ∠14=168°

m ∠3=m ∠10=m ∠8=105°

a) m ∠1=12°

b) m ∠3=105°

c) m ∠4=12°

d) m ∠5= 63°

e) m ∠6=105°

f) m∠7=105°

g) m ∠8=105°

h) m ∠11=12°

i) m ∠12=168°

j) m ∠13=12°

k) m ∠14=168°

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Two numbers have a sum of 4 and the sum of their reciprocal is 8. Find the number.

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The numbers are approximately 2 + 0.5√14 and 2 - 0.5√14.

Let's assume the two numbers as x and y.

According to the problem statement:

The sum of the two numbers is 4: x + y = 4.

The sum of their reciprocals is 8: 1/x + 1/y = 8.

To solve this system of equations, we can use the substitution method.

From the first equation, we can express y in terms of x: y = 4 - x.

Substituting this value into the second equation:

1/x + 1/(4 - x) = 8

To simplify the equation, we can find a common denominator:

[(4 - x) + x]/(x(4 - x)) = 8

\(4/(4x - x^2) = 8\)

Now, we can cross-multiply and simplify:

\(4 = 8(4x - x^2)\)

\(4 = 32x - 8x^2\)

\(8x^2 - 32x + 4 = 0\)

Dividing the equation by 4, we get:

\(2x^2 - 8x + 1 = 0\)

Now, we can solve this quadratic equation using the quadratic formula:

\(x = (-b \pm \sqrt{(b^2 - 4ac)} )/(2a)\)

Substituting a = 2, b = -8, and c = 1 into the formula, we get:

\(x = (-(-8) \pm \sqrt{((-8)^2 - 4 \times 2 \times 1))} /(2 \times 2)\)

x = (8 ± √(64 - 8))/4

x = (8 ± √56)/4

x = (8 ± 2√14)/4

x = 2 ± 0.5√14

Therefore, the two numbers are approximately:

x ≈ 2 + 0.5√14

y ≈ 4 - (2 + 0.5√14) = 2 - 0.5√14

The numbers are approximately 2 + 0.5√14 and 2 - 0.5√14.

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PLEASE HELP ME! Which rule explains why this triangle is congruent?( A) SAS (B).ASA ( C.) AAS (D) triangles can not be proven to be congruent.

PLEASE HELP ME! Which rule explains why this triangle is congruent?( A) SAS (B).ASA ( C.) AAS (D) triangles

Answers

Answer:

AAS

Step-by-step explanation:

Angle K is congruent to Angle N (given), Angle H is congruent to itself (reflexive property), and side JH is congruent to side MH (given).

write down the binary representation of the decimal number 63.25

Answers

the binary representation of 63.25 as 111111.01.

To convert the decimal number 63.25 to binary, we need to convert the integer part (63) and the fractional part (0.25) separately.

1. Converting the integer part (63):

  Divide 63 by 2, and keep track of the remainders:

  63 ÷ 2 = 31 (remainder 1)

  31 ÷ 2 = 15 (remainder 1)

  15 ÷ 2 = 7 (remainder 1)

  7 ÷ 2 = 3 (remainder 1)

  3 ÷ 2 = 1 (remainder 1)

  1 ÷ 2 = 0 (remainder 1)

  The remainders in reverse order give us the binary representation of the integer part: 111111.

2. Converting the fractional part (0.25):

  Multiply 0.25 by 2 and record the whole number part:

  0.25 × 2 = 0.5 (0)

  0.5 × 2 = 1.0 (1)

  The whole number parts give us the binary representation of the fractional part: 01.

Putting the integer and fractional parts together, we have the binary representation of 63.25 as 111111.01.

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The binary representation of the decimal number 63.25 is 111111.01.

To convert the decimal number 63.25 to binary, we need to separate the whole number part and the fractional part.

Whole Number Part:

Divide the whole number part (63) by 2:

63 ÷ 2 = 31, remainder 1

Divide the quotient (31) by 2:

31 ÷ 2 = 15, remainder 1

Divide the quotient (15) by 2:

15 ÷ 2 = 7, remainder 1

Divide the quotient (7) by 2:

7 ÷ 2 = 3, remainder 1

Divide the quotient (3) by 2:

3 ÷ 2 = 1, remainder 1

Divide the quotient (1) by 2:

1 ÷ 2 = 0, remainder 1

Reading the remainders in reverse order, the binary representation of the whole number part is 111111.

Fractional Part:

To convert the fractional part (0.25) to binary, we multiply the fractional part by 2 and note the whole number part of the result. Repeat this process until the fractional part becomes 0 or until the desired precision is achieved.

Multiply the fractional part (0.25) by 2:

0.25 × 2 = 0.5, whole number part 0

Multiply the fractional part (0.5) by 2:

0.5 × 2 = 1.0, whole number part 1

Since the fractional part becomes 0, we stop the process.

Reading the whole number parts in order, the binary representation of the fractional part is 01.

Combining the binary representation of the whole number part and the fractional part, the binary representation of the decimal number 63.25 is 111111.01.

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NEED QUESTION QUICK Franco’s gross weekly earnings are $895. The federal income tax withheld is $78.25. The state tax deduction is $9.15. He also contributes 4.5% of his weekly earnings to a health savings account. What are his net earnings?

Answers

Answer:

$771 is your answer rounded

Step-by-step explanation:

771.258

Answer:

895+ 78.25 + 9.12 + 4.5 will equal  986.87 just add all the numberes together and you will get 986.87

Step-by-step explanation:

so therefor your answer will be 986.87 but if you round it to the nearest hundred it would be a thousand

A sum of $2700 is to be given in the form of 63 prizes. If the prize is of either $100 or $25, find the number of prizes of each type.

Answers

answer - 15 prizes

explanation:
Let the number of prizes for Rs. 25 be '63-x'. Hence, there are 15 prizes for Rs.

Answer this easy question.

Answer this easy question.

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Answer:

your camera is too close, i don't understand

Step-by-step explanation:

Answer:

What is the question?

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