solve 
P
=
144
p
y
P
=
144
p
y
for 
p
p

Answer:

Step-by-step explanation:

Given

13th term is:

The equation of the line passing through the points (0, 2) and (3, 0) is

The equation of the line passing through the points (0, -4) and (5, -1) is

The slope between the points (4,5) and (‐3, 6) is -1/7.

The equation of a line in slope intercept form is written as

y = mx + c

where

m = slope and c is the y- intercept

From the graph points (0, 2) and (3, 0) is used

To find the equation of the line passing through the points (0, 2) and (3, 0), we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

m = (y2 - y1) / (x2 - x1)

m = (0 - 2) / (3 - 0)

m = -2/3

substitute in the point-slope form of the equation of a line. using point (0, 2):

y - y1 = m(x - x1)

y - 2 = (-2/3)(x - 0)

y - 2 = (-2/3)x

y = (-2/3)x + 2

For the second line points (0, -4) and (5, -1) is used

m = (-1 + 4) / (5 - 0)

m = 3/5

Using point (0, 4)

y - y1 = m(x - x1)

y - 4 = (3/5)(x - 0)

y - 4 = 3/5 x

y = 3/5 x + 4

The slope between two points (x1, y1) and (x2, y2) can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1)

slope = (6 - 5) / (-3 - 4)

slope = 1 / (-7)

slope = -1/7

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The justification for each step in the flowchart proof is given as:

A. given

B. definition of congruent

C. definition of bisect

A segment that divides an angle into two equal halves is known as an angle bisector.

In the image attached below, we want to prove that BC is an angle bisector of angle ABD.

The following justofy each step in the flowchart proof:

m∠ABC ≅ ∠CBD (given)

m∠ABC ≅ ∠CBD (definition of congruent)

BC bisects ABD (definition of bisect)

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Answer:

Step-by-step explanation:

The right Riemann sum for arctan(1 + xdx) is Σ[arctan(1 + iΔx)]Δx, where i ranges from 1 to n and Δx is the width of each subinterval. The correct answer among the options provided is (arctan(1 + Δx) + arctan(1 + 2Δx) + ... + arctan(1 + nΔx))Δx.

In a right Riemann sum, the function is evaluated at the right endpoint of each subinterval. Therefore, we add up the values of arctan(1 + iΔx) at the endpoints of the subintervals, where i ranges from 1 to n. The width of each subinterval is Δx, so we multiply the sum by Δx to get the approximate value of the integral.

The provided expression (arctan(1 + Δx) + arctan(1 + 2Δx) + ... + arctan(1 + nΔx))Δx satisfies the conditions of a right Riemann sum, where the function is evaluated at the right endpoint of each subinterval. Therefore, this is the correct option among the given choices.

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Answer:

2/3

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

Brainliest please

Using Trigonometry, the approximate distance from the observatory to the island is evaluated to be 322 feet.

Given Information

It is given that,

The height of the observatory = 150 feet

The angle of depression from the top of the observatory = 25°

We can calculate the horizontal distance of the observatory from the island using Trigonometry

What is Trigonometry?

The area of mathematics known as Trigonometry is concerned with certain functions of angles and how to use them in computations. There are six popular Trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc) are their respective names and acronyms.

Calculating the Horizontal Distance Using Trigonometry

As per the rules of the Trigonometry,

\(tan \alpha = \frac{Perpendicular/ Opposite Side}{Base}\)

Here,

\(\alpha\) = 25°

Perpendicular = 150 ft.

Base = Horizontal Distance

Thus, \(tan 25 =\frac{150}{Horizontal Distance}\)

∴ x ≈ 322 ft.

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Answer:

the odds against Zahra climbing to the top are,

B. 4:1

Step-by-step explanation:

Since she has climbed 7 times in 28 attempts,

the probability of a successful climb is,

P = 7/28

P = 1/4

So, the odds against Zahra climbing to the top are 4:1

Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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Answer:

64 units^2

Step-by-step explanation:

The area of a triangle is:

A = 1/2×base×height

For the base, any side can be the base and the corresponding height to go with it has to be perpendicular.

For this question, the left side, 16, will be the base. And the height will be 8.

Area = 1/2bh

= 1/2•16•8

= 64

To rank the steps involved in transforming one couple to another couple in a parallel plane, here is the correct order:

Identify the initial couple and the desired final couple.

Determine the translation vector that will move the initial couple to the desired final couple.

Translate the initial couple using the determined translation vector. This will shift the entire couple in the parallel plane.

Verify that the translation has successfully moved the initial couple to the desired final couple.

If necessary, make any additional adjustments or transformations to align the initial and final couples precisely in the parallel plane.

Confirm that the final couple is now in the desired position and orientation relative to the initial couple, maintaining the parallelism of the plane.

By following these steps in order, you can effectively transform one couple to another in a parallel plane.

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"Team A has a greater variability in heights because its MAD is higher than the MAD for Team B."

To compare the variability for the heights of the two teams, we need to consider the mean absolute deviations (MADs) provided in the table. The MAD measures the average distance between each data point and the mean.

From the given information:

Team A has a mean height of 65.5 and a MAD of 2.9.

Team B has a mean height of 67 and a MAD of 0.8.

To compare the variability, we look at the MAD values. A higher MAD indicates greater variability, as it represents larger average deviations from the mean.

Comparing the MAD values, we can see that the MAD for Team A is 2.9, while the MAD for Team B is 0.8. Since the MAD for Team A is higher than the MAD for Team B, we can conclude that Team A has a greater variability in heights.

The statement that best compares the variability for the heights of the two teams is:

"Team A has a greater variability in heights because its MAD is higher than the MAD for Team B."

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Answer:

Never

Never

Always

Always

Never

Step-by-step explanation:

Substitute (x) for another number, I used (1), I if works then the answer is always and if it doesn't the answer is never. If you are unsure of your answer you can double-check by substituting another number instead.

Answer:

a. Never true

b. Never true

c. True

d. True

e. Never true

Answer:

WC = 2.6in

Step-by-step explanation:

If YW = 4.4 in, and YC = 7 in.

And YW + WC = YC.

WC = YC - YW

WC = 7in - 4.4in

WC = 2.6in

Answer: 4.8

Step-by-step explanation: 268.8 divided by 56 is 4.8

Answer:

\(-\frac{1}{8}\)

Step-by-step explanation:

\(\sqrt[3]{-\frac{1}{512}}=\frac{\sqrt[3]{-1}}{\sqrt[3]{512}}=\frac{-1}{8}=-\frac{1}{8}\)

ANSWER:

The value of x is equal to -8.49

STEP-BY-STEP EXPLANATION:

We have the following equation:

We solve for x:

The value of x is equal to -8.49

Answer:

\(15^4\)

Step-by-step explanation:

Given the following question:

\(15\times15\times15\times15\)

In order to find the exponent of the given expression we count how many times the number is being multiplied by itself, that number would then be the exponent.

\(15\times15\times15\times15\)
They're four 15's
\(15^4\)

To prove the answer:
\(15\times15\times15\times15=50625\)
\(15^4=50625\)
\(15^4\)

Hope this helps.

Answer:

Step-by-step explanation:

7x+3  (-4x-2)=-6

remove the parenthesis

7x-12x-6=-6

-5x=0

x=0

How to solve your question- 7

\((5x^{4} )^{3} \\=5x^{4*3} \\=5x^{12}\)

I used the law of exponents as indicated below:

\((x^{n} )^{m} \\=x^{n*m} \\=x^{nm}\)

Answer: 4q-4

Step-by-step explanation:

2(q+q-2) = 2(2q-2) = 4q-4

For the probability of any particular event occurring is 7 /10 then odds of favoring the event which is not occurring in the form of a: b is equal to

7 : 3.

As given in the question,

Probability of any particular event occurring is equal to 7 /10

Probability of any particular event not occurring is = 1- (7/10)

                                                                                    = (10 -7) /10

                                                                                    = 3/10

Probability of the odds favoring the events which are not occurring

= (7 /10) / (3/10)

= ( 7 × 10) / (3 × 10)

= 7 /3

Odds favoring the events which are not occurring in the form a: b

= 7 : 3

Therefore, for the probability of any particular event occurring is 7 /10 then odds of favoring the event which is not occurring in the form of a: b is equal to 7 : 3.

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Answer:

The new length is 13.5 meters

Step-by-step explanation:

Here, we are interested in calculating the new length of the cloth she wants to use

What we know from the question is that she is making a reduction of 10% from an initial of 15 meters

Thus, the length she is to use can be calculated by first getting what 10% of 15 meters is

Mathematically, that would be ;

10/100 * 15 = 1.5 meters

We now subtract this from the total of 15 meters

= 15 meters - 1.5 meters = 13.5 meters

The phrase that is a context clue for ecstatic is:

In texts, a context clue is a phrase or word that indirectly defines another word. Context clues are essential because they help readers to understand difficult or new words.

To identify a context clue, the best is to check which words give information about the unknown word. There are different context clues, the most common ones include.

In the text, the section they are just as unhappy as before is a context clue. This is because this section suggests unhappy is opposite to ecstatic, and therefore it gives information about the meaning of this word.

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Number that produces a rational number when multiplied by 1 is option B, -3.

To determine which number produces a rational number when multiplied by 1,

We need to examine each of the given.

Here, options: A. TI , B. -3, C. T, D. -1.41421356

We know,

A rational number can be expressed as a fraction (a/b) where both a and b are integers and b is not equal to 0. When multiplying by 1, the result remains the same. Option B: -3 multiplied by 1 = -3 which is a rational number because it can be expressed as a fraction (-3/1).

Option D: here given number -1.41421356 multiplied by 1 = -1.41421356 and we cannot be easily expressed as a fraction.

Therefore,it's not a rational number.

Thus, the number that produces a rational number when multiplied by 1 is option B, -3.

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Answer:

\(8\sqrt{5}+3\sqrt{30}\)

Step-by-step explanation:

\(\sqrt{5}(8+3\sqrt{6})\)

\((\sqrt{5})(8)+(\sqrt{5})(3\sqrt{6})\)

\(8\sqrt{5}+3\sqrt{30}\)

Answer:

Step-by-step explanation:

6a(3-4y)+16b(3-4y)

(6a-16b)(3-4y)

2(3a-8)(3-4y)

Answer:

The speed of sound in air of 1,100 feet per second can be written in scientific notation as 1.1 x 10^3 feet per second (since 1,100 = 1.1 x 1,000).

A person's cycling rate can be expressed mathematically in the equation that describes their cycling motion. Specifically, the cycling rate can be represented by the frequency or number of revolutions per unit time (usually in seconds) that the person completes while cycling.

The equation that describes a person's cycling motion is typically a kinematic equation that relates the person's position, velocity, and acceleration as a function of time. One commonly used equation is:

d = vit + 1/2at^2

where d is the distance traveled by the person, vi is the initial velocity (usually zero), a is the acceleration, and t is the time elapsed.

The cycling rate can be incorporated into this equation by expressing the velocity as a function of the frequency of revolutions (f) and the radius of the wheel (r). This gives:

v = 2πrf

where v is the velocity of the cyclist, r is the radius of the wheel, and π is the mathematical constant pi (approximately 3.14).

Substituting this expression for v into the kinematic equation gives:

d = (2πrf)t + 1/2at^2

This equation shows how the person's cycling rate, represented by the frequency f, affects their distance traveled as a function of time. If the person increases their cycling rate, their velocity increases, and they will travel a greater distance in the same amount of time.