Gary was looking for a new cell phone plan. Company A is offering $50 for the phone and $.20 per minute for data usage. How much would Company A’s phone plan cost if Gary spends on average 200 minutes for data?

The resulting graph of g(x)=|x|+5 is a V-shaped curve that is shifted upwards by 5 units.

What is function ?

Function can be defined in which it relates an input to output.

To graph the function g(x)=|x|+5, we start with the parent function f(x)=|x|.

First, we shift the entire graph of f(x) upwards by 5 units to get g(x). This means that the new function will take the absolute value of x and then add 5 to it.

To graph g(x), we can choose two points on either side of the y-axis and then plot the corresponding points. We can use the ray tool to draw the rays passing through these points.

Here are the steps to graph g(x)=|x|+5:

Choose a value of x on the left side of the y-axis, such as x=-3.

Substitute this value into the equation g(x)=|x|+5 to get g(-3)=|-3|+5=8. This gives us the point (-3,8).

Choose another value of x on the left side of the y-axis, such as x=-2.

Substitute this value into the equation g(x)=|x|+5 to get g(-2)=|-2|+5=7. This gives us the point (-2,7).

Draw a ray passing through the points (-3,8) and (-2,7) to represent the left side of the graph.

Choose a value of x on the right side of the y-axis, such as x=2.

Substitute this value into the equation g(x)=|x|+5 to get g(2)=|2|+5=7. This gives us the point (2,7).

Choose another value of x on the right side of the y-axis, such as x=3.

Substitute this value into the equation g(x)=|x|+5 to get g(3)=|3|+5=8. This gives us the point (3,8).

Draw a ray passing through the points (2,7) and (3,8) to represent the right side of the graph.

Therefore, The resulting graph of g(x)=|x|+5 is a V-shaped curve that is shifted upwards by 5 units.

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Answer:

3.25

Step-by-step explanation:

μX = 2(0.3) + 3(0.2) + 4(0.4) + 5(0.1) = 3.3

The mean of the distribution represented by the histogram is 3.25

The mean is the product of the value of X and its corresponding probability (P(x)).

The mean can be expressed thus :

From the histogram :

Mean = (1 × 0.05) + (2 × 0.2) + (3 × 0.35) + (4 × 0.25) + (5 × 0.15)

Mean = 0.05 + 0.40 + 1.05 + 1.00 + 0.75 = 3.25

Therefore, the mean value of the distribution depicted by the histogram ls 3.25

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Hydrostatic weighing uses the statistic known as density to predict the percentage of body fat.

Hydrostatic weighing, also known as underwater weighing or densitometry, is a method used to estimate body composition by measuring the density of an individual's body.

The principle behind hydrostatic weighing is that fat tissue is less dense than lean tissue, such as muscle and bone.

During a hydrostatic weighing test, the individual is submerged in water while their body volume is measured. By comparing the weight on land with the weight in water, the density of the body can be calculated.

The measured density is then used in equations or regression models to estimate the percentage of body fat.

The statistic of density is crucial in this process because it represents the ratio of an individual's mass to their volume.

By accounting for the density of fat and lean tissue, hydrostatic weighing provides an estimate of body fat percentage based on the differences in density between these components.

It is worth noting that while hydrostatic weighing has been widely used as a reference method for body composition assessment, more modern techniques such as dual-energy X-ray absorptiometry (DXA) and bioelectrical impedance analysis (BIA) have gained popularity due to their convenience and accessibility.

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The Probability that all four of the light bulbs work is 0.004 approx.

The probability that all four light bulbs work can be calculated by taking the product of the probability that each individual light bulb works. If each light bulb works independently of the other light bulbs, then the probability that all four light bulbs work is:

P(all 4 bulbs) = P(bulb 1) * P(bulb 2) * P(bulb 3) * P(bulb 4)

P(all 4 bulbs) = 0.25 * 0.25 * 0.25 * 0.25

P(all 4 bulbs) = 0.25^4

P(all 4 bulbs) = 0.00390625

So, the probability that all four light bulbs work is 0.00390625 or approximately 0.004.

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Answer:

2,3,5,6,9 and 10

Step-by-step explanation:

450/2 = 225

450/3 = 150

450/4 = 112.5

450/5 = 90

450/6 = 75

450/8 = 56.25

450/9 = 50

450/10 = 45

To be divisiable, the answer should be an integer.

Thus: 2,3,5,6,9 and 10 are numbers which 450 is divisible by

Answer:

see below

Step-by-step explanation:

2×3×3×5×5 is it's prime factorization which has 2, 3, 4, 5, 6, 9, 10

The standard deviation for the scores of test is 6.405.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean (u) and standard deviation (sd) , the Z-score of a measure X is given by : \(Z=\frac{X-u}{sd}\)

The Z-score calculates the deviation of the measure from the mean in standard deviations. We glance at the z-score table after determining the Z-score to determine the p-value connected to it. The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure exceeds X is calculated by deducting 1 from the pvalue.

In this problem, we have that:

u = 77.7

8 percent of the scores are above 86

This means that X = 86 has a pvalue of 1 - 0.08 = 0.92. So when X = 86, Z = 1.405.

\(Z=\frac{X-u}{sd}\)

\(1.405=\frac{86-77}{sd}\)

\(sd=\frac{9}{1.405}\)

∴ \(sd=6.405\)

The standard deviation is 6.405.

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The data set contains the variable height (giving a person's height) and the variable gender (coded O=female, 1=male). Then the y-intercept of the regression equation predicting height from gender is given by: option c) the average height of females in the data set.

The y- intercept of a direct retrogression relationship represents the value of one variable when the value of the other is zero. Non-linear retrogression models also live, but are far more complex. Retrogression analysis is a important tool for uncovering the associations between variables observed in data, but can not fluently indicate occasion. The data set contains the variable height (giving a person's height) and the variable gender (enciphered O = womanish, 1 = manly). also the y- intercept of the retrogression equation prognosticating height from gender is given by option c) the average height of ladies in the data set.

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Answer:

19.396193043263

Step-by-step explanation:

Answer : 6/10 or 3/5

Answer:

3/5

Step-by-step explanation:

60% = 60/100

=> 60/100 [Divide both numerator and denominator by 10]

=> 6/10      [Divide both numerator and denominator by 2]

=> 3/5

Check the picture below.

so let's simply check about what's its vertex then

\(\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+40}t\stackrel{\stackrel{c}{\downarrow }}{+6} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)\)

\(\left(-\cfrac{ 40}{2(-16)}~~~~ ,~~~~ 6-\cfrac{ (40)^2}{4(-16)}\right) \implies \left( - \cfrac{ 40 }{ -32 }~~,~~6 - \cfrac{ 1600 }{ -64 } \right) \\\\\\ \left( \cfrac{ -5 }{ -4 } ~~~~ ,~~~~ 6 +25 \right)\implies {\Large \begin{array}{llll} \stackrel{ ~~ seconds~\hfill feet ~~ }{\left( ~~ 1\frac{1}{4}~~ ~~ , ~~ ~~31 ~~ \right)} \end{array}}\)

The value of g(2) is -1/4, g(0) is undefined, g(1.2) is approximately 1.0833, g(-2) is -1/4, and g(6) is -2/3, where g(x) = 3/x² - 1.

We can evaluate g(x) by substituting the value of x in the expression:

g(x) = 3/x² - 1

a) To evaluate g(2), we substitute 2 for x in the expression:

g(2) = 3/2² - 1

g(2) = 3/4 - 1

g(2) = -1/4

Therefore, the answer is (a) -1/4.

b) To evaluate g(0), we substitute 0 for x in the expression:

g(0) = 3/0² - 1

However, division by zero is undefined, and so g(0) is undefined.

c) To evaluate g(1.2), we substitute 1.2 for x in the expression:

g(1.2) = 3/1.2² - 1

g(1.2) = 3/1.44 - 1

g(1.2) = 1.0833...

Therefore, the answer is (c) approximately 1.0833.

d) To evaluate g(-2), we substitute -2 for x in the expression:

g(-2) = 3/(-2)² - 1

g(-2) = 3/4 - 1

g(-2) = -1/4

Therefore, the answer is (d) -1/4.

e) To evaluate g(6), we substitute 6 for x in the expression:

g(6) = 3/6² - 1

g(6) = 3/36 - 1

g(6) = -8/12

g(6) = -2/3

Therefore, the answer is (e) -2/3.

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Market Price: The point where supply and demand are equal.

Market price is the current price of a good or service that is determined by the interactions of buyers and sellers in a competitive market. It is the result of the forces of supply and demand and is determined by the number of buyers and sellers in the market and their respective levels of demand and supply. Market prices are affected by both external and internal market forces such as government policies, taxation, economic conditions, and availability of resources.

Demand: The quantity of a good or service that consumers are willing and able to buy

Supply: The quantity of a good or service that businesses are willing and able to provide

Producers: Individuals and organizations that determine what products and services will be available for sale

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Answer:

x=12

Step-by-step explanation:

(2x-4)/5=4

We move all terms to the left:

(2x-4)/5-(4)=0

We multiply all the terms by the denominator

(2x-4)-4*5=0

We add all the numbers together, and all the variables

(2x-4)-20=0

We get rid of parentheses

2x-4-20=0

We add all the numbers together, and all the variables

2x-24=0

We move all terms containing x to the left, all other terms to the right

2x=24

x=24/2

x=12

Answer:

x = 12

Step-by-step explanation:

Given

\(\frac{2x-4}{5}\) = 4 ( multiply both sides by 5 to clear the fraction )

2x - 4 = 20 ( add 4 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

To find the volume of a triangular-based pyramid, you can use the following formula:

\(V = (1/3) * A_{base} * h\)

\(V = (1/3) * A_{base} * h\)

where:

- V represents the volume of the pyramid

- \(A_{base\) represents the area of the triangular base

- h represents the height of the pyramid

1. Determine the measurements: Measure the length of the base of the triangle (b) and the height of the triangle (\(h_{base\)). If the triangle is not right-angled, use trigonometric calculations to determine the height.

2. Calculate the area of the base: Use the formula for the area of a triangle, which is

\((1/2) * b * h_{base,\)

to find the area of the triangular base.

3. Determine the height of the pyramid: Measure the vertical height (h) from the base of the pyramid to the apex (top point). Make sure to use consistent units with the base measurements.

4. Apply the volume formula: Plug the values of the base area (\(A_{base\)) and the height (h) into the volume formula:

\(V = (1/3) * A_{base} * h.\)

5. Simplify and calculate: Multiply the base area by the height, and then divide the result by 3 to calculate the volume of the pyramid.

Make sure to use consistent units throughout the calculations. The resulting volume will be in cubic units (e.g., cubic centimetres, cubic inches, etc.), reflecting the three-dimensional space occupied by the pyramid.

Remember to double-check your measurements and calculations to ensure accuracy in determining the volume of the triangular-based pyramid.

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The correct answer is x = 2

(x + 1 < 4) ∩ (x-8>-7)

Make x the subject in each case:

(x<4-1)(x>-7+8)

        (x<3)∩(x>1)

If x<3, then x could be 2, 1, -1, etc.

If x>1, then x could be 2, 3, 4, etc.

Thus (x<3)∩(x>1) = 2

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Answer:

x = 2

Step-by-step explanation:

Hello!

We are looking at the intersection of two sets, or common values found between two sets of data.

We can solve for x on each side and find any common values between.

As you can see, the intersection occurs at the common values. The only value that is common between the two sets is 2.

Therefore, the intersection of these sets is 2.

Answer:

1+1=2

Step-by-step explanation:

1111111111111111111111

If 16 ounce bottle of orange juice contain 200 milligram was 250% from total of daily recommended amount , then 100% or recommended vitamin C to daily consume is 80 milligram.

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Answer:

19 inches and 60 inches

Step-by-step explanation:

The mean of this distribution is (a+b)/2 = $500, and the standard deviation is (b-a)/sqrt(12) = $288.68. The probability of winning more than $600 on one spin of the wheel is the area under the uniform distribution curve from $600 to $1000, which is (1000-600)/(1000-0) = 0.4 or 40%.

In a uniform distribution, all possible outcomes have an equal probability of occurring, and the range of values is defined by the minimum value (a) and the maximum value (b). In this case, the range is from $0 to $1000, so a=0 and b=1000.

The mean of a uniform distribution is the average of the minimum and maximum values, which is (a+ b)/2 = $500. The standard deviation of a uniform distribution is calculated using the formula (b-a)/sqrt(12), which gives a value of $288.68 for this distribution.

To find the probability of winning more than $600, we need to calculate the area under the uniform distribution curve from $600 to $1000. Since the total area under the curve is 1, we can calculate the probability by dividing the width of the interval by the total width of the distribution, which is (1000-600)/(1000-0) = 0.4 or 40%.

Therefore, the probability of winning more than $600 on one spin of the wheel is 0.4.

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Therefore, Assuming that approximately 20% of the lake's trout population was marked, we can estimate that the lake contains approximately 250 trout.

To find the probability L(N) that 16 trout are marked in a sample of 80, we need to use the hypergeometric distribution formula. The formula is P(X=k) = [C(M,k) * C(N-M,n-k)] / C(N,n), where M is the total number of trout in the lake, N is the number of trout in the sample (80), k is the number of marked trout in the sample (16), and n is the sample size (50). Plugging in the values, we get P(X=16) = [C(M,16) * C(M-50,34)] / C(M,80). We don't know the exact value of N, but we can estimate it using the fact that 16 out of 80 trout were marked, which means that approximately 20% of the lake's trout population was marked. Therefore, we can estimate that the lake contains approximately 250 trout (i.e., 50 / 0.2). Writing the main answer in 2 lines: The probability L(N) that 16 trout are marked in a sample of 80 can be estimated using the hypergeometric distribution formula.

Therefore, Assuming that approximately 20% of the lake's trout population was marked, we can estimate that the lake contains approximately 250 trout.

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The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation:

The value of angle z in the figure is 137 degrees.

The sum of angles on a straight line equals 180 degrees.

The supplemetary angles are defined as the angles having the summation of 180 degrees.

The angles made by the straight lines are termed supplemetary angles.

From the diagram;

Angle 43 degree and angle z are on a straight line.

Meaning the two angles are supplemetary angles.

Hence, the sum of angle 43 and angle z gives 180 degrees.

43 + z = 180

Subtract 43 deom both sides

43 - 43 + z = 180 - 43

z = 180 - 43

z = 137 degrees.

Therefore, angles z measures 137 degrees,

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Given a cylinder of radius = r = 6 ft, and a height = h = 10 ft

A conic portion removed from the cylinder

So, the volume of the remaining portion =

the volume of the cylinder - the volume of the cone

The volume of the cylinder =

The volume of the cone =

so, the answer will be =

So, the answer is option 3) 240pi

No, it is not possible to define f(0) in a way that makes f continuous at 0.

To see why, let's consider the behavior of f(x) as x approaches 0. We have:

lim x → 0 x sin(1/x)

Now, since -1 ≤ sin(1/x) ≤ 1 for all x, we have:

x ≤ x sin(1/x) ≤ x for all x

Therefore, by the squeeze theorem, we have:

lim x → 0 x sin(1/x) = 0

This means that the limit of f(x) as x approaches 0 exists and is equal to 0.

However, if we try to define f(0) to make f continuous at 0, we run into a problem. If we choose any value for f(0), say a, then the function is not continuous at 0 because the limit from the left is not equal to the limit from the right.

To see this, consider the left-hand limit of f(x) as x approaches 0:

lim x → 0- f(x) = lim x → 0- x sin(1/x)

We can use the substitution u = 1/x to rewrite this as:

lim u → -∞ (-1/u) sin u

Now, we know that the sine function oscillates between -1 and 1 as its input approaches -∞, so the limit of this expression does not exist. Therefore, the left-hand limit of f(x) as x approaches 0 does not exist.

Similarly, we can show that the right-hand limit of f(x) as x approaches 0 does not exist.

Therefore, it is not possible to define f(0) in a way that makes f continuous at 0.

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Using synthetic division, we can divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1. Performing the synthetic division, we obtain a quotient of x² + 6x - 6 and a remainder of 8.

To divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1 using synthetic division, we set up the synthetic division table as follows:

1  |   1   7  -12   14

We begin by bringing down the coefficient of the first term, which is 1, and place it on the line below the division bar. Then we multiply the divisor, 1, by the value we brought down and write the result under the next coefficient. Adding the values in the second row, we obtain the new value. We continue this process for each term until we reach the last term.

1  |   1   7  -12   14

 1   8  -4     10

The values in the last row represent the coefficients of the quotient polynomial. Therefore, the quotient is x² + 6x - 6. The remainder, which is the last value in the last row, is 10. Since the divisor is 1, the remainder does not affect the quotient. Hence, the result of the division is x² + 6x - 6 with a remainder of 10.

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The correct order of given information is 3, 2, 1 and 4.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Given that, the given graph represents the amount of water in a pool over a period of 5 hours.

Here, the order of given information is

Therefore, the correct order of given information is 3, 2, 1 and 4.

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First, make an equilateral triangle and label all the points. All the line segments that have a ratio of 1, mark those as congruent and all the line segments that have a ratio of 3, mark those congruent as well. Now, what we can is 3 congruent triangles by SAS, (AMK = BPM = CKP). Then, we take MP, PK, and KM and we know those are congruent because of CPCTC. That means all the sides are equal in the inner triangle which means it is an equilateral triangle.

Let me know if you have any questions

Answer:

it is 2.66*

Step-by-step explanation:

24 / 9 = 8/3

8/3 = 2.66*

Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.