Which table represents y as a function of x?

Step-by-step explanation:

i think is k , m , l

bcause 4 is the smallest number,

and 12 is the biggest number.

Answer:

Step-by-step explanation:

the maximum percentage of women who weigh more than 201.2 pounds is 1.39%.

To find the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds, we need to standardize the values using the formula:

z = (x - μ) / σ

where:

x = weight value

μ = mean weight

σ = standard deviation

For x = 96.0 pounds:

z = (96.0 - 148.6) / 23.9

z = -2.21

For x = 201.2 pounds:

z = (201.2 - 148.6) / 23.9

z = 2.21

We can use a standard normal distribution table or calculator to find the area between -2.21 and 2.21. The area is approximately 0.9545 or 95.45%.

Therefore, the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds is 95.45%.

To find the maximum percentage of women who weigh more than 201.2 pounds, we need to standardize the value of 201.2 pounds using the same formula:

z = (x - μ) / σ

z = (201.2 - 148.6) / 23.9

z = 2.21

We can use a standard normal distribution table or calculator to find the area to the right of 2.21. The area is approximately 0.0139 or 1.39%.

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Answer:

The code will stop when x = 14

Step-by-step explanation:

The code loops until x is less than 16. X cannot be equal to 16 it has to be less than.

We can use the given points to solve.

Slope formula: y2-y1/x2-x1

3-(-3)/-4-2

6/-6

-1

Best of Luck!

(2, -3) and (-4, 3)

The slope of the line through (2, -3) and (-4, 3).

y2 - y1 / x2 - x1

3 + 3 / -4 - 2

= 6 / -6

= -1

-1

The correct option is (d) interval/ratio, nominal with 2 or more levels.

In ANOVA (Analysis of Variance), the independent variable is interval/ratio with 2 or more levels, and the dependent variable is nominal with 2 or more levels. Here, ANOVA is a statistical tool that is used to analyze the significant differences between two or more group means.

ANOVA is a statistical test that helps to compare the means of three or more samples by analyzing the variance among them. It is used when there are more than two groups to compare. It is an extension of the t-test, which is used for comparing the means of two groups.

The ANOVA test has three types:One-way ANOVA: Compares the means of one independent variable with a single factor.Two-way ANOVA: Compares the means of two independent variables with more than one factor.Multi-way ANOVA: Compares the means of three or more independent variables with more than one factor.

The ANOVA test is based on the F-test, which measures the ratio of the variation between the group means to the variation within the groups. If the calculated F-value is larger than the critical F-value, then the null hypothesis is rejected, which implies that there are significant differences between the group means.

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Answer:

1

Step-by-step explanation:

BD = BC + CD = (7 + 17x)

BE = BA + AE = (8 + 13x)

By intersecting secants theorem:

\( BC\times BD = BA\times BE\)

\( 7(7+17x) = 8(8+13x)\)

\( 49+119x = 64+104x\)

\(119x -104x = 64-49\)

\(15x = 15\)

\(x = \frac{15}{15}\)

\(x =1\)

The Total surface area of each given figure are:

g) 165 in²

h) 869 in²

i) 1146.57 ft²

j) 400 m²

g) The area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Area of left triangle = ¹/₂ * 10 * 8 = 40 in²

Area of right triangle = ¹/₂ * 10 * 25 = 125 in²

Total surface area = 40 in² + 125 in²

Total surface area = 165 in²

h) This will be a total of the trapezium area and triangle area to get:

Total surface area = (¹/₂ * 22 * 19) + (¹/₂(22 + 38) * 22)

Total surface area = 209 + 660

Total surface area = 869 in²

i) Total surface area is:

T.S.A = (50 * 30) - ¹/₂(π * 15²)

T.S.A = 1146.57 ft²

j) Total surface area is:

TSA = 20 * 20 (This is because the removed semi circle is equal to the additional one and when we add it back to the square, it becomes a complete square)

TSA = 400 m²

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Answer:

200 meters

Step-by-step explanation:

a² + b² = c²

c² = 120² + 160²

c² = 14,400 + 25,600

c² = 40,000

√(c²) = √(40,000)

c = 200

Answer: 200 meters

The administrator should use the mean duration of employment for his clients to compare it with the national average. This will help determine if his hard-to-place clients have shorter or longer job durations than the average.

To contrast the average length of time at a job for his clients with the national average, the administrator of the TANF program should use the mean duration of employment for his clients and compare it to the national average.

This would provide a measure of the central tendency of employment durations for his clients and allow him to compare this measure to the corresponding national statistic.

However, it is important to note that this measure alone may not provide a complete picture of employment outcomes for hard-to-place clients in the TANF program.

The administrator may also want to consider other statistical measures such as the median duration of employment or the standard deviation to get a better understanding of the distribution of employment durations among his clients.

The median duration of employment would provide a measure of the middle value of employment durations, which may be a more representative statistic if there are outliers or extreme values in the data.

The standard deviation would provide a measure of the variability in employment durations among his clients, which would be useful in determining whether there is a wide range of outcomes or if most clients have similar employment durations.

In addition to statistical measures, the administrator may also want to consider qualitative factors such as the types of jobs his clients are able to secure and whether they are able to advance in their careers over time.

This would provide a more nuanced understanding of employment outcomes and allow for a more comprehensive evaluation of the effectiveness of the TANF program in supporting hard-to-place clients in gaining and maintaining employment.

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The proportion of the students will have sufficient time to complete the test is of 0.9938 = 99.38%, using the normal distribution.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is given by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of the time needed to complete the test are given as follows:

\(\mu = 50, \sigma = 12\)

The proportion is the p-value of Z when X = 80, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (80 - 50)/12

Z = 2.5

Z = 2.5 has a p-value of 0.9938.

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Answer:

Step-by-step explanation:

b+9≤2

Subtract 9 from both sides:

9+b≤2

subtract 9 on each side which will be -7

the answer will be b≤-7

For a known orbit of the Earth and the velocity of the vehicle at the perigee (closest point to Earth), the velocity at the apogee (farthest point from Earth) and the eccentricity of the orbit can be calculated.

The velocity at the apogee is determined by the conservation of angular momentum, and the eccentricity of the orbit can be found using the vis-viva equation.

When a vehicle is in an elliptical orbit around the Earth, the conservation of angular momentum states that the product of the vehicle's mass, velocity, and distance from the center of the Earth remains constant throughout the orbit. Since the velocity at the perigee is known, we can use this information to calculate the velocity at the apogee.

The eccentricity of the orbit can be determined using the vis-viva equation, which relates the semi-major axis, eccentricity, and specific mechanical energy of the orbit. By rearranging the vis-viva equation, we can solve for the eccentricity.

In summary, knowing the velocity at the perigee allows us to calculate the velocity at the apogee using the conservation of angular momentum, and the eccentricity of the orbit can be determined using the vis-viva equation. These calculations provide valuable information about the characteristics of the vehicle's orbit around the Earth.

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The scatterplot of butter supply on the y-axis and happiness on the x-axis may or may not have the same shape and slope as another scatterplot with different variables. It depends on the correlation between butter supply and happiness, which can be determined by analyzing the scatterplot's shape and calculating its slope.

If the scatterplot has butter supply on the y-axis and happiness on the x-axis, the general shape and slope of the plot may or may not be the same, depending on the correlation between these two variables. Let's analyze the potential outcome step by step:
Data collection: First, we need to gather data on butter supply and happiness levels. This can be done by measuring the quantity of butter supply (in tons, for example) and some index for happiness (e.g., the World Happiness Index).
Plot the scatterplot: Next, we'll plot the data points with butter supply on the y-axis and happiness on the x-axis. Each point will represent a location or a group of people with specific butter supply and happiness levels.
Analyze the shape: After plotting the data points, we will observe the overall shape of the scatterplot. If there's a clear pattern, such as an upward or downward trend, this indicates a correlation between butter supply and happiness. If there's no discernible pattern, it means there's no significant correlation.
Determine the slope: If the scatterplot has a clear pattern, we can calculate the slope by fitting a regression line. The slope will indicate the relationship between butter supply and happiness. A positive slope indicates that as butter supply increases, happiness also increases, while a negative slope suggests the opposite.
In conclusion, the scatterplot of butter supply on the y-axis and happiness on the x-axis may or may not have the same shape and slope as another scatterplot with different variables. It depends on the correlation between butter supply and happiness, which can be determined by analyzing the scatterplot's shape and calculating its slope.

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let : y = Opponent side, x= Adjecent side

and r= hypotenuse

tan = 4/5

y/x = 4/5 => y =4, x=5

so, r = √4²+5²=√16+25=√41

sin = y/r = 4/ √41

cos = x/r = 5/√41

tan = y/x = 4/5

csc = r/y = √41 /4

sec = r/x = √41 /5

cot = x/y = 5/4

When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is   \(\\26 \frac{2}{5}\).

What is improper fractions?

An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.

12 times 120% + 12

12*120%+12

\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)

Follow the PEMDAS order of operations

Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)

\(=\frac{72}{5}+12$$\)

Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)

\(=\frac{132}{5}$$\)

Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)

\(=26 \frac{2}{5}$$\)

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After 7 hours, the mass of yeast will be approximately 9.718 grams. After 2 days (48 hours), the mass of yeast will be approximately 128.041 grams.

To calculate the mass of yeast after a certain time using exponential growth, we can use the formula:

\(M = M_0 * e^{(rt)}\)

Where:

M is the final mass

M0 is the initial mass

e is the base of the natural logarithm (approximately 2.71828)

r is the growth rate (expressed as a decimal)

t is the time in hours

Let's calculate the mass of yeast after 7 hours:

M = 3.7 (initial mass)

r = 13% per hour

= 0.13

t = 7 hours

\(M = 3.7 * e^{(0.13 * 7)}\)

Using a calculator, we can find that \(e^{(0.13 * 7)\) is approximately 2.628.

M ≈ 3.7 * 2.628

≈ 9.718 grams

Now, let's calculate the mass of yeast after 2 days (48 hours):

M = 3.7 (initial mass)

r = 13% per hour

= 0.13

t = 48 hours

\(M = 3.7 * e^{(0.13 * 48)]\)

Using a calculator, we can find that \(e^{(0.13 * 48)}\) is approximately 34.630.

M ≈ 3.7 * 34.630

≈ 128.041 grams

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a) After 7 hours, the mass will be approximately 7.8272.

b) After 2 days, the mass will be approximately 69.1614.

The growth of the yeast culture is exponential at a rate of 13% per hour.

To find the mass present after a certain time, we can use the formula for exponential growth:

Final mass = Initial mass × \((1 + growth ~rate)^{(number~ of~ hours)}\)

a) After 7 hours:

Final mass = 3.7 ×\((1 + 0.13)^7\)

To calculate this, we can plug in the values into a calculator or use the exponent rules:

Final mass = 3.7 × \((1.13)^{7}\) ≈ 7.8272

Therefore, the mass present after 7 hours will be approximately 7.8272.

b) After 2 days:

Since there are 24 hours in a day, 2 days will be equivalent to 2 × 24 = 48 hours.

Final mass = 3.7 × \((1 + 0.13)^{48}\)

Again, we can use a calculator or simplify using the exponent rules:

Final mass = 3.7 ×\((1.13)^{48}\) ≈ 69.1614

Therefore, the mass present after 2 days will be approximately 69.1614.

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Answer:

400

Step-by-step explanation:

425 is rounded to 430 because 5 rounds up the number. 430 rounded to the nearest hundredth is 400 because 3 is below five.

Answer:

nearest tenth: 430

nearest hundredth: 400

Step-by-step explanation:

5 and above rounds up hense 430 and below 50 rounds down hense 400

Answer: I think it’s D

Step-by-step explanation:

Answer:

The domain is a set/group of x-values. The range is a set/group of y-values. The first option is not true because there are x-values which are greater than 0 (right side of graph). The second option is not true because the set of y-value stops before it hits the y=0. The third option is not true because there are no y-values which are less than 0 (bottom of graph). The fourth option is correct because the x-values stretch from -infinity on the left side of the graph to positive infinity of the right side of the graph.

:)

The computation shows that the cost of each bond is A. $3142.50.

From the complete information given, the price of the bond is given as $2856.80 each.

Therefore, with the commission, the price will be:

= $2856.80 + (10% × $2856.80)

= $2856.80 + $285.68

= $3142.50

In conclusion, the cost of each bond is $3142.50.

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Answer:

it's A

Step-by-step explanation:

maybe

To do trigonometry, you need to have a clear understanding of triangles and the relationships between their sides and angles. To do trigonometry without images or diagram, let's go straight to the explanation below.

When solving trigonometry word problems without a drawing/image, the following steps can be helpful:

It is important to note that in order to use trigonometry, you need to have a clear understanding of triangles and the relationships between their sides and angles.

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Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Diagrams that can convey both data and concepts or ideas are known as infographics.

Diagrams that can convey both data and concepts or ideas are known as "informational graphics" or "infographics". These graphics use visual elements such as charts, graphs, illustrations, maps, and diagrams to convey complex information and ideas in a concise and easy-to-understand way.

Infographics can be used in various fields, including business, education, journalism, and marketing, to present information in a visually appealing and engaging manner.

They are particularly useful when presenting large amounts of data or complex processes and can be designed to cater to different audiences, such as professionals or the general public. Overall, infographics are a powerful tool for communicating information and ideas effectively and efficiently.

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Answer:

x = 1, x = -1

Step-by-step explanation:

-x² = -1

x² = 1

x = ±1

Answer:

A x >= 0

Step-by-step explanation:

a function is a defined mathematical operation (or a sequence of operations) that uses input values (typically called "x") and calculates the corresponding results (typically called "y").

so, y = f(x)

and (x,y) are then usually the coordinates on the grid.

the domain is the range or interval of numbers the function is using (x) to create results (y).

so, look at the graph !

for what values of x do you see the functional line drawn ?

that means, the functional line goes along only what part of the x-axis ?

I see it starts at x=0 and then continues all the way to the right and clearly further.

for me that means f(x) calculates values for every positive x we can think of. and including 0.

it does not do anything for any negative x-values.

so, clearly answer A (x>=0) is right.

Container + cement = 78.1

Container + sand = 25.5

Difference( cement - sand) = 78.1 -25.5 = 52.6

4 x Sand = 52.6

Sand = 52.6/4 = 13.15

Container = 25.5 - 13.15 = 12.35 kg

The average value of the function y = e^(-x) over the interval [0, 5] can be found by evaluating the definite integral of the function over the interval and dividing it by the length of the interval.

First, we integrate the function:

\(∫(0 to 5) e^(-x) dx = [-e^(-x)](0 to 5) = -e^(-5) - (-e^0) = -e^(-5) + 1\)

Next, we find the length of the interval:

Length of interval = 5 - 0 = 5

Finally, we calculate the average value:

Average value =\((1/5) * [-e^(-5) + 1] = (-e^(-5) + 1)/5\)

Therefore, the average value of y = e^(-x) over the interval\([0, 5] is (-e^(-5) + 1)/5.\)

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Answer:

13°

Step-by-step explanation:

Since these are complementary angles, we can add them together, set it equal to 90, and solve for x:

[Equation] (-6x + 53)° + (-9x + 22)° = 90°

[Distribute] -6x° + 53° + -9x° + 22° = 90°

[Combine like terms] 15x° + 75 = 90°

[Subtract 75 from both sides] 15x° = 15

[Divide both sides by 15] x = 1°

Then, plug-in our x for angle ADC:

[Given] (-9x + 22)°

[Distribute] -9x° + 22°

[Subsititue / plug-in] -9(1)° + 22°

[Multiply] -9° + 22°

[Combine like terms] 13°

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The factors of g are (x - 10) and (x + 2), which confirms that the zeros are 10 and -2.

The positive integers that can divide a number evenly are referred to as factors.  Let's say we multiply two numbers to produce a result. The product's factors are the number that is multiplied. Each number has a self-referential element.  There are several examples of factors in everyday life, such putting candies in a box, arranging numbers in a certain pattern, giving chocolates to kids, etc. We must apply the multiplication or division method in order to determine a number's factors.

The locations where a polynomial becomes zero overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero (-1). The highest power of the variable x is referred to as a polynomial's degree. A linear polynomial is a polynomial with degree 1.

The zeros are 10 and -2, because the factors of g are (x-10) and (x + 2).

To find the zeros, we can set g(x) equal to zero and solve for x:

x² - 8x - 20 = 0

Using the quadratic formula, we get:

x = [8 ± √(8² + 4(1)(20))] / 2

x = [8 ± √144] / 2

x = [8 ± 12] / 2

So, the zeros are:

x = 10 and x = -2

We can verify this by factoring g(x):

g(x) = x² - 8x - 20

g(x) = (x - 10)(x + 2)

So, the factors of g are (x - 10) and (x + 2), which confirms that the zeros are 10 and -2.

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Let the adding value be x

ATQ

\(\\ \sf\longmapsto \dfrac{2+x}{5+x}=\dfrac{5}{6}\)

\(\\ \sf\longmapsto 6(2+x)=5(5+x)\)

\(\\ \sf\longmapsto 12+6x=25+5x\)

\(\\ \sf\longmapsto 6x-5x=25-12\)

\(\\ \sf\longmapsto x=13\)