The price of grapes, g, is $2. 19 per pound. The price of bananas, b, is $0. 59 per pound. The price of pears, p, is $1. 49 per pound. Part A
Write an expression to represent the total price of g pounds of grapes, b pounds of bananas, and p pounds of pears. Drag numbers to complete the expression. 1. 49 added to
2. 19
g +
0. 59
b +
1. 49
p

Answer:

first function

Step-by-step explanation:

there is a common difference between consecutive terms , that is

13 - 10 = 16 - 13 = 19 - 16 = 22 - 19 = 3

this indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 10 and d = 3 , then

\(a_{n}\) = 10 + 3(n - 1) = 10 + 3n - 3 = 7 + 3n

The process of counting the number of observations is knowns as Tabulation.

The logical representation of the numerical data written in rows and columns is known as tabulation. It helps in to facilitate the statistical analysis. The data that can be organized in the form of table is termed as tabulation. The data in the table can be represented in a systematic manner. The main objective of tabulation is to present the systematic data in a brief manner.

There are two types of tabulation. They are:

1.Simple tabulation

2.Complex tabulation

A simple example for the tabulation is, The population of the people is divided into religion, caste, gender, age etc.

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Answer:

y = 4.375x + 2.5

Step-by-step explanation:

The equation of the line is expressed as y = mx+c

m is the slope

c is the intercept

Using the coordinate points (0, 2.5), (4, 20)

Slope m = 20-2.5/4-0

m = 17.5/4

m = 4.375

Get the intercept

Substitute (0, 2.5) and m = 4.375 into y - mx+c

2.5 = 4.375(0) + c

2.5 = c

Get the equation required

y = 4.375x + 2.5

From the given bar graph, the average number of students who are afraid of spider and snakes is of 15.

A bar graph shows the absolute frequency of each observation in the data-set, that is, the number of times that each variable is observed.

Hence, in the context of this problem, from the bar graph on the image, the number of students that are afraid of each thing are:

The average between two values is given by the sum of the two values divided by two.

Hence, the average number of students who are afraid of spiders and snakes is calculated as follows:

M = (18 + 12)/2 = 30/2 = 15.

The bar graph is missing and is given by the image at the end of the answer.

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Answer:

15

Step-by-step explanation:

got it right on quiz

We are asked to find out whether the given lengths correspond to a right-angled triangle.

Recall that a right-angled triangle must satisfy the Pythagorean theorem.

Let us substitute the given values into the above formula

As you can see, the Pythagorean theorem is satisfied.

Therefore, the given lengths form a right triangle.

Answer:

16

Step-by-step explanation:

let the smaller no be x so the greater no is 8 + x

soln

8+x + x = 40

8 + 2x = 40

2x = 40-8

2x = 32

x = 32÷2

therefore x = 16

Answer:

16 and 24

Step-by-step explanation:

let the 2 numbers be x and y, x > y , then

x + y = 40 → (1)

x = y + 8 → (2) [ greater number 8 more than smaller ]

Substitute x = y + 8 into (1)

y + 8 + y = 40, that is

2y + 8 = 40 ( subtract 8 from both sides )

2y = 32 ( divide both sides by 2 )

y = 16

Substitute y = 16 into (2)

x = 16 + 8 = 24

The 2 numbers are 16 and 24

The probability that exactly 250 out of 413 adults will be in favor of abolishing the sales tax and increasing the income tax can be calculated using the binomial probability formula.

Find the probability of exactly 250 out of 413 adults being in favor of abolishing the sales tax and increasing the income tax, we can use the binomial probability formula.

The binomial probability formula is:

P(X = k) = (n C k) * p^k * (1 - p)^(n - k)

Where:

- P(X = k) is the probability of getting exactly k successes,

- (n C k) represents the number of combinations,

- p is the probability of success for a single trial,

- k is the number of successes,

- n is the number of trials.

In this case, n = 413 (sample size), p = 0.59 (probability of success), and k = 250 (number of successes).

Plugging in these values, we can calculate the probability:

P(X = 250) = (413 C 250) * (0.59^250) * (1 - 0.59)^(413 - 250)

Calculating the binomial coefficient (413 C 250) may require a large number of calculations, but it can be simplified using the symmetry property of binomial coefficients:

(413 C 250) = (413 C 163)

Once simplified, you can evaluate the expression using a calculator or statistical software to find the probability.

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The simpler form of the expression cos \(\theta\)/sin \(\theta\) by using the trigonometry formulas is a cot \(\theta\).

The trigonometric ratio is defined as the ratio of the pair of sides of a given right-angled triangle.

We have the expression:

\(\rm \frac{cos \theta}{sin \theta}\)

we know that

\(tan \theta = \frac{sin \theta}{cos \theta} \\\)

also,

\(\rm tan \theta = \frac{1}{cot\theta} \\\)

So, By using these trigonometry formulas, we get:

 \(cot \theta = \frac{cos \theta}{sin\theta} \\\)

Thus, the simpler form of the expression \(\rm \frac{cos \theta}{sin \theta}\)  is cot \(\theta\).

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Answer:

D. cot 0

Step-by-step explanation:

Answer:4

Step-by-step explanation:

The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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Two samples can have the same mean but different standard deviations if one sample has more variability than the other. For example, one sample may have data points that are tightly clustered around the mean, while the other sample may have data points that are more spread out.

This can result in the same mean value for both samples, but different levels of variability.

Here's an example bar graph to illustrate this concept:

     Sample 1                Sample 2

 ╭────────────────╮   ╭────────────────╮

 │      Mean      │   │      Mean      │

 ├────────────────┤   ├────────────────┤

 │                │   │    ╭─╮         │

 │                │   │    │ │         │

 │                │   │    │ │         │

 │                │   │    ╰─╯         │

 │     o o o      │   │  o o o o o o  │

 │                │   │                │

 │                │   │                │

 │                │   │                │

 ╰────────────────╯   ╰────────────────╯

     Std. Dev.            Std. Dev.

In this example, both Sample 1 and Sample 2 have a mean value of 5. However, Sample 1 has lower variability with a standard deviation of 1, while Sample 2 has higher variability with a standard deviation of 3. The error bars on the graph represent the standard deviation for each sample.

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The university administration should not trust the results from this study as it did not take a random sample.

The appropriate question to ask in order to assess the evidence provided by the sample data is, "How likely is it to observe a difference of 0.09 or more extreme if there is no difference in the mean GPA for male and female scholarship athletes?"

This is because the sample data shows a difference of 0.09, so we want to find out how likely it is to observe a difference of this size or greater, given that there is no actual difference between the GPA of male and female scholarship athletes.
Based on the investigation that the professor conducted which revealed that the study was given to all of the athletes on the basketball teams exclusively, the university administration should not trust the results from this study.

This is because the study was not taken from a random sample of scholarship athletes, meaning that the sample did not accurately reflect the population. If the sample does not accurately reflect the population, then the results may be biased and should not be trusted.

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Therefore, Yolanda put 63 photos in each album.

To find how many photos Yolanda put in each album, we need to subtract the photos she mailed to her grandparents from the total photos she printed, and then divide the remaining photos by the number of albums she used.


- Yolanda printed 225 photos.
- She mailed 36 photos to her grandparents.
- To find the number of photos Yolanda put in each album, we need to subtract 36 from 225 to get the number of photos she kept for herself: 225 - 36 = 189.
- Yolanda used 3 albums, so we need to divide the number of photos she kept by the number of albums: 189 ÷ 3 = 63.
- Therefore, Yolanda put 63 photos in each album.

LONG ANSWER in points:
To solve the problem step-by-step, we can use the following equations:

1. Total number of photos Yolanda printed = 225
2. Number of photos Yolanda mailed to her grandparents = 36
3. Number of photos Yolanda kept for herself = 225 - 36 = 189
4. Number of albums Yolanda used = 3
5. Number of photos Yolanda put in each album = ?

To find the number of photos Yolanda put in each album, we can use the following formula:

(Number of photos Yolanda kept for herself) ÷ (Number of albums Yolanda used)

Substituting the values from equations 3 and 4, we get:

(189) ÷ (3)

Simplifying the expression, we get:

63

Therefore, Yolanda put 63 photos in each album.

In summary, Yolanda printed 225 photos and mailed 36 photos to her grandparents. She kept 189 photos for herself and put them in 3 albums. To find the number of photos Yolanda put in each album, we divided the number of photos she kept by the number of albums she used, which gave us 63. Therefore, Yolanda put 63 photos in each album.

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Smaller x value (-3,0)

Larger x value (4,0)

Given,

Equation of parabola: y = x² -x -12

To find the x intercept of the parabola put y=0 in the equation and solve for x.

y = x² -x -12

y = (x-4)(x+ 3)

Put y = 0

(x-4)(x+ 3) = 0

x = 4

x = -3

At x intercept the y coordinate is 0

So the x intercept are (-3,0) and (4,0)

Smaller x value (-3,0) .

Larger x value (4,0) .

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When a sample is taken from a population, it is important to understand the characteristics of both the sample and the population. In this scenario, the sample size is 36, meaning that 36 individuals or data points were randomly selected from the larger population.

The population mean is 50, which tells us the average value of the population data. The standard deviation of the population is 5, which indicates the degree of variability in the data.

Using the information provided, we can calculate the standard error of the mean (SEM), which is the standard deviation of the sample mean. The formula for SEM is:

\(SEM = population standard deviation / square root of sample size\)

SEM = 5 / square root of 36

SEM = 5 / 6

SEM = 0.83

Therefore, the standard error of the mean for this sample is 0.83. This means that if we were to take many samples of size 36 from this population, we would expect the mean of each sample to be within 0.83 units of the true population mean of 50.

It is important to note that while this sample may give us some insight into the characteristics of the larger population, it is not necessarily representative of the entire population. To increase the accuracy of our findings, we would need to take multiple random samples and calculate the means and standard errors of each sample.

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Answer:

4.8333333

Step-by-step explanation:

division

The answer is: ∠N ≈ 33°

To find ∠N in ΔLMN, we can use the Law of Cosines which states that c² = a² + b² - 2abcos(C), where c is the side opposite angle C.

In this case, side LM (m) is opposite angle ∠N, side LN (n) is opposite angle ∠L, and side MN (x) is opposite the unknown angle.

So, we can write:
m² = n² + x² - 2nxcos(82°)

Substituting the given values:
x² = 35² + 59² - 2(35)(59)cos(82°)

Solving for x, we get:
x ≈ 64.27

Now, using the Law of Sines which states that a/sin(A) = b/sin(B) = c/sin(C), we can find ∠N:

sin(∠N)/35 = sin(82°)/64.27

sin(∠N) ≈ 0.5392

∠N ≈ sin⁻¹(0.857) ≈ 32.6344°

Therefore, ∠N ≈ 33° to the nearest degree.

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Answer: 0523 i think this the answer i don't know

Step-by-step explanation:

The sum of squares of the real roots of p(x) = x³ - x² - 18x +18 is 37 for k= 18.

The cubic equation is given as,

p(x) = x³ - x² - 18x +k

To find the real roots of the cubic equation p(x) we can equate p(x) =0 , we get,

x³ - x² - 18x +k = 0

⇒ x² (x -1) - 18(x - k/18) = 0

For factoring the equation we can equate  (x -1) = (x - k/18) by comparing it with solving of general equations.

That is by arranging the cubic equation after equating (x -1) = (x - k/18)  we will get,

(x-1)(x² -18) =0

Thus we get,

(x -1) = (x - k/18)

⇒ k/18 =1

⇒ k =18

The cubic equation which will give us real roots will become,

p(x) = x³ - x² - 18x +18

By factoring we can find the real roots as,

x³ - x² - 18x +18 =0

⇒ (x² -18)(x -1) =0

⇒x= 1 , x = 3√2 and x= -3√2

Let us say, a = 1 , b = 3√2 and c = -3√2 are the required real roots.

The square of real roots are as follows,

a² = 1

b² = 18

c² = 18

Thus, the sum of squares of the real roots of p(x) = x³ - x² - 18x +18 is

= a² + b²+ c²

= 1 + 18 + 18

= 37

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The combination of buses that can transport the 200 students at the lowest possible cost using no more than 8 drivers is 3 large buses and 2 small buses, at a total cost of $3,600.

Let's start by using just large buses. We would need 4 buses to transport all 200 students, at a cost of $3,200 (4 buses x $800 per bus). However, this would require 4 drivers, leaving only 4 drivers available for any additional buses.

Next, let's try using just small buses. We would need 5 buses to transport all 200 students, at a cost of $3,000 (5 buses x $600 per bus). This would also require 5 drivers, leaving only 3 drivers available for any additional buses.

Now, let's try a combination of large and small buses. Let's start with 3 large buses and 1 small bus. This would transport 190 students (3 buses x 50 seats + 1 bus x 40 seats), leaving 10 students who would need to be transported on another small bus. The total cost for this combination would be $3,000 (3 large buses x $800 per bus + 1 small bus x $600 per bus).

We still have 7 drivers remaining, so let's add another small bus to transport the remaining 10 students. This would bring the total cost to $3,600 (3 large buses x $800 per bus + 2 small buses x $600 per bus).

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Translate Question: A school must transport 200 students to an event. Both large and small buses are available. A large bus holds 50 people and costs $800 to rent for the event. A small bus holds 40 people and costs $600 to rent for the event. There are 8 drivers available on the day of the event. *

Find the combination of buses that can transport the 200 students at the lowest possible cost using no more than 8 drivers. •

Answer:

30 Miles Per Hour to Feet Per Second = 44.

I hope this helps!

Answer: About 44 ft. per second if I did it correctly

Step-by-step explanation:

Answer:

4 pieces

Step-by-step explanation:

To perform the calculation, it's easier for both values to have the same denominator.

2/3 yards is the same as 4/6 yards.

Now we have two values with the same denominator: 4/6 and 1/6.

(4/6) / (1/6) = 4.

Step-by-step explanation:

Example: -2+-5

It can also be written as -2-5.

How I do these problems, I do 2+5, which is 7. Then I add a negative sign. So -2+-5 or -2-5 is equal to -7.

-a+-b can also be written as -a-b. So yes, if a and bare negative, then a + b is also negative.

hope it helps!

According to calculations made using the provided data, there will be 5557 fish after 8 months.

It is estimated that the lake initially contains 5000 fish.

Since a1 is the population after the first month and the fish population rises by 10% per month while losing 80 fish, it follows that

a1 = ( a0 + 7/100a0) - 500

= (a0 + 0.07a0 ) - 500

=1.07a0 - 500

and ,

a2 = 1.07a0 - 500

Therefore. after eight months, the fish population's recurrence relation will be,

aₙ = 1.07a0 - 500 I (i)

a1 = 1.07( 4000)  - 500

= 3780

Similarly,

a2 = 4080

a3 =  4400

a4 =  4111

and

a5 = 1.07( 4621)  - 500

= 4444

a6 = 1.07( 4945)  - 500

= 4791

a7 = 1.07( 5291)  - 500

= 5161

a8 = 1.07( 5661)  - 500 = 5557

Thus, there are 5557 fish total after 8 months.

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Answer:

-4

Step-by-step explanation:

(-2)^2 + 4(-2) =

= 4 - 8 =

= -4

the points do not fall on a straight line, but rather curve upward as volume increases. This reflects the fact that the scale factor needed to dilate the basic box increases as the volume of the new box increases.

Volume is a physical quantity that measures the amount of space occupied by an object, substance, or material. It is usually measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), cubic feet (ft³), or liters (L).

The volume of an object is determined by its three-dimensional dimensions, namely length, width, and height. For example, the volume of a cube is calculated by multiplying its length, width, and height measurements together.

by the question.

To find the scale factor needed to dilate the basic box to a box with a volume of 8 cubic feet, we can use the formula for the volume of a cube: \(V=s^{2}\), where V is the volume and s is the length of one side of the cube.

Thus, we can solve for the new length of one side of the cube, which we'll call x:

\(8 = x^{3}\)

Taking the cube root of both sides gives:

x = 2

So, the company would need to dilate the basic box by a scale factor of

2 to create a box with a volume of 8 cubic feet.

To find the approximate scale factor needed to dilate the basic box to a box with a volume of 10 cubic feet, we can use the same formula:

\(10 = x^{3}\)

Taking the cube root of both sides gives:

x ≈ 2.154

So, the company would need to dilate the basic box by a scale factor of approximately 2.154 to create a box with a volume of 10 cubic feet.

Using the formula. \(V=s^{2}\), we can fill in the table as follows:

Volume (cubic feet) Scale Factor

0                                        0

1                                         1

5                                        1.71

8                                        2

10                                     2.15

15                                        2.47

20                                     2.71

We can then plot these points on a graph with volume on the x-axis and scale factor on the y-axis and connect them with a smooth curve to show the relationship between the two variables.

\(10 = x^{3}\)

Taking the cube root of both sides gives:

x ≈ 2.154

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↪Given 15 cot A = 8. Find sin A and sec A

Hope this helps...☆

To rewrite the integral ∫(2x)\(e^{4x^{2} }\)dx using integration by parts, we'll consider the function f(x) = (2x) and g'(x) = \(e^{4x^{2} }\).

Integration by parts states that ∫u dv = uv - ∫v du, where u and v are functions of x.

Let's assign:

u = (2x) => du = 2 dx

dv = \(e^{4x^{2} }\) dx => v = ∫\(e^{4x^{2} }\) dx

To evaluate the integral of v, we need to use a technique called the error function (erf). The integral cannot be expressed in terms of elementary functions. Hence, we'll express the integral as follows:

∫\(e^{4x^{2} }\) dx = √(π/4) × erf(2x)

Now, we can rewrite the integral using integration by parts:

∫(2x)\(e^{4x^{2} }\) dx = uv - ∫v du

= (2x) × (√(π/4) × erf(2x)) - ∫√(π/4) × erf(2x) × 2 dx

= (2x) × (√(π/4) × erf(2x)) - 2√(π/4) × ∫erf(2x) dx

The integral ∫erf(2x) dx can be further simplified using substitution. Let's assign z = 2x, which implies dz = 2 dx. Substituting these values, we get:

∫erf(2x) dx = ∫erf(z) (dz/2) = (1/2) ∫erf(z) dz

Therefore, the final expression becomes:

∫(2x)\(e^{4x^{2} }\) dx = (2x) × (√(π/4) × erf(2x)) - √(π/2) × ∫erf(z) dz

Please note that the integral involving the error function cannot be expressed in terms of elementary functions and requires numerical or tabulated methods for evaluation.

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Answer:

17 in,3 in, and 19in

so the third answer

Step-by-step explanation: