Find the value of P that makes the equation true

P P P P P P
36
Find the value of P that makes the equation true

Answer:

9.3 hrs to finish

Step-by-step explanation:

(10.5 - 2.75)ft / (5/6 ft/hr) = 9.3 hrs to go

The equations that can be used to determine the length of the room are:

y(y + 5) = 750

y²– 5y = 750

(y - 30) (y + 25) = 0

A rectangle is a two-dimensional object that has four sides and four right angles. The sides of a rectangle are known as the width and the length.  A rectangle has two diagonals of equal length which bisect each other at right angles.

Area of a rectangle = length x width

750 = y x (y - 5)

750 = y² - 5y

y² - 5y - 750 = 0

The factors of -750y² that add up to -5y are 25y and -30

(y² + 25y)(-30y - 750) = 0

y(y + 25) = 0

-30(y + 25) = 0

(y - 30) (y + 25) = 0

Here is the complete question:

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

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Answer:

The answer would be 100^32

Answer:

r = 0.7

Step-by-step explanation:

Answer:

d. SYSTEMATIC SAMPLING

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Took every 10th member, that is, every kth member, which is systematic.

The correct answer is given by option d.

Answer:

  33 units²

Step-by-step explanation:

A (graphing) calculator shows you that f(4) ≈ 8, and f(8) ≈ 8.5. The curve is almost a straight line between, so the area is approximately ...

  A = (1/2)(8 + 8.5)(4) = 33

__

If you do the integration, it gets a bit messy.

  \(\displaystyle\dfrac{5}{7}\int_4^8{x^{2/7}}\,dx+\dfrac{1}{2}\int_4^8{x^{4/9}}\,dx+\int_4^8{6}\,dx\\\\=\left.\left(\dfrac{5}{9}x^{9/7}+\dfrac{9}{26}x^{13/9}+6x\right)\right|_4^8\approx 33.16\)

The appropriate answer choice is 33 square units.

It moved forward 4 yards, then back 10 yards:

4-10 = -6

It is now -6 yards from where it started.

It then moved 2 yards forward from there:

4-6 + 2 = -4

The ball finished -4 yards from the original location.

Answer:

\(K^{2}\)

Step-by-step explanation:

\(\frac{K^{-4} }{K^{-6} } \\= \frac{K^{6} }{K^{4} } \\= K^{6-4} \\= K^{2}\)

Answer:

x < -7

Step-by-step explanation:

5−3x>26

Subtract 5 from each side

5-5−3x>26-5

-3x > 21

Divide each side by -3, remembering to flip the inequality

-3x/-3 < 21/-3

x < -7

Answer:

x < -7

Step-by-step explanation:

5 - 3x > 26

5 - 3x -5 > 26 - 5

-3x > 21

-3x ÷ -3 < 21 ÷ -3

x < -7

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

No, the reason is because -3/4 is farther away from 0 on the number line while -1/4 is closer to 0. Therefore, -1/4 > -3/4 is the correct answer

Step-by-step explanation:

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

Complete question is;

Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottles sold. Which set of numbers would be an appropriate domain for Dionne’s function?

A) 0, 1, 2, 3, 4, …

B) …, −4, −3, −2, −1, 0

C) …, −3, −2, −1, 0, 1, 2, 3, …

D) …, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …

Answer:

Option A: {0,1, 2, 3, 4,....}

Step-by-step explanation:

Domain is simply a set of input while the range is a set of output values.

For example, if we have a function named f(x) = x², the domain will be all possible values of x being inputed while the range will be the value of f(x) for all possible values of x inputed.

Now, from the question, we are told that she wrote the amount of money she spent as a function of the number of bottles sold.

If the number of bottles sold is denoted by "x", it means the function is; f(x).

Now, number of bottles has to be a non-negative whole number or simply a non-negative integer. Thus, the possible values of x are all non-negative whole numbers like, 0,1, 2, 3, 4, 5....

Thus,domain is {0,1, 2, 3, 4,....}

Answer:

A. 0,1,2,3,4,.....

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

the difference of 54 and 32 is 54 - 32 = 22

the difference of 8 and 5 is 8 - 5 = 3

then

22 × 3 = 66

Therefore, the equation of the line passing through (0, 2) and (6, 6) in y=mx+b form is y = (2/3)x + 2.

We must ascertain the slope (m) and the y-intercept in order to compute the equation of a line with the formula y=mx+b. (b).

The following formula determines the slope of a line via the points (x1, y1) and (x2, y2):

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

Using (0, 2) and (6, 6), we can calculate:

m = (6 - 2)/(6 - 0) = 4/6 = 2/3

As a result, the line has a 2/3 slope.

We may use the point-slope form of the equation to determine the y-intercept:

y - y1 = m(x - x1)

Using the slope we just discovered and the location (0, 2), we have:

y - 2 = (2/3)x

When we simplify this equation, we obtain:

y = (2/3)x + 2

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The arithmetic mean for this value is M=3.1.we can calculate this data from frequency distribution.

It is sum of collection of number divided by the count of numbers.Its value   can be positive or negative both.The collection is often a set of results from an experiments and observational study.

It is often used as a parameter in statistical distribution or as a result to summarize the observations of an experiment survey.It is simplest way to used to measure the average.Its also measure frequency distribution by considering all of the observations.

Now we are using formula  for arithmetic mean

 A.M= Sum of (fx)/sum of (f)

by putting values in this formula we have

A.M= 31/10

A.M= 3.1

Hence 3.1 is the arithmetic mean for given frequency data.

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Answer:

1/4

Step-by-step explanation:

the x decreases by 1 the y decreases by 4

Answer:

-4

Step-by-step explanation:

Answer:

Given that tan x = 5/12, what is the value of sin x + cos x?

draw a triangle with opposite leg=3 and hypotenuse=5

tan p = opposite/adjacent = 3/4

similarly, in a 5-12-13 right triangle

sin x + cos x = 5/13 + 12/13

The value of measure of p is,

⇒ p = 36.9 degree

We have to given that,

The value of sin p is,

⇒ sin p = 3/5

Since, p is an acute angle.

Hence, We can find the value of p as,

⇒ sin p = 3/5

Take arc sine both side, we get;

⇒ sin⁻¹ (sin p) = sin ⁻¹ (3 / 5)

⇒ p = sin ⁻¹ (3 / 5)

⇒ p = 36.9 degree

Thus, The value of measure of p is,

⇒ p = 36.9 degree

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The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:

A.

Step-by-step explanation:

Let's think of this as a clock.  We can see that the 2 lines start in the same place, around 3 o'clock.  Next, one of the line segments shifts down to around 6 o'clock.  Next, it shifts to about 9 o'clock.  Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.

We can also just use a regular circle, with one of the line segments moving 90 degrees each time.

Hope this helps! :)

After cοmpleting the task, we can state that The whοle number clοsest tο  expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.

The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.

Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.

√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.

Therefοre, √51 is clοsest tο the whοle number 7.

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The translation form of each shape is given as follows:

a) X to Z: (x, y) -> (x + 5, y + 2).

b) Z to X: (x, y) -> (x - 5, y - 2).

The four translation rules are defined as follows:

For the composition of translations, we add the coordinates, hence:

Hence the rule from X to Z is given as follows:

(x, y) -> (x + 5, y + 2).

From Z to X, we have the inverse rule, hence:

(x, y) -> (x - 5, y - 2).

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One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.

The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.

To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.

To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.

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To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

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Answer:

D. The ratio of the circumference to the diameter is the same for both sides

Step-by-step explanation:

dilation in a shape is either it becoming bigger or smaller, no matter what factor you dilate the shape by its ratio will still remain the same, such as when you simplify a fraction.

We will find the average change as follows:

*First, we determine the points, those are:

(2015, x)

(2019, x - 168)

Now, the average change is determined as follows:

So, the average change is -42 students per year.

***Explaination***

Since we are given two dates and two quantities we can interpret them as points.

We don't know the total number of students but we know the change over time, so we assign a random value to represent the total number of students, it will be "x" and it will be at "its maximum" in 2015.

So, we have our first point (2015, x)

Now, we know that the total number of students changed by -168 from 2015 to 2019, so in 2019 we will have "x - 168" students.

So, we have our second point (2019, x - 168).

*We know that the average change is given by the change on y divided by the change on x [The slope of both points], and since we have that the points follow (x1, y1) & (x2, y2), we will replace in the following expression [Slope]:

Since we know the following:

&

We replace in the expression:

So, the average change was -42 students per year.

\( \frac{2}{7} \times \frac{5}{6} ( \frac{10}{3} \times \frac{2}{5} ) \times \frac{1}{5} \\ = \frac{2}{7} \times \frac{5}{6} ( \frac{20}{15} ) \times \frac{1}{5} \\ = \frac{2}{7} \times \frac{100}{90} \times \frac{1}{5} \\ = ( \frac{2}{7} \times \frac{10}{9}) \times \frac{1}{5} \\ = \frac{20}{63} \times \frac{1}{5} \\ = \frac{20}{315} \\ = \frac{4}{63} \)

ATTACHED IS THE SOLUTION

Answer: In one week, Nursen saves $5 and shares $3.75, so she has $5 + $3.75 = $8.75 per week.

She spends $4.95 on bus fare, so she has $8.75 - $4.95 = $3.80 per week to spend.

This week, Nursen earned $24 babysitting, so she has an additional $24 to spend.

Therefore, Nursen has $3.80 + $24 = $27.80 to spend.

Step-by-step explanation: