Which equation below shows the relationship for the graph

The volume of plaster Darla needs for the miniature stairs is 418³.

The volume is the space occupied by a three-dimensional object.

Volume is the product of the multiplication of length, width, and height.

We first calculate the total volume for this situation, assuming that the stairs have not cut portions.

Secondly, calculate the volume of the cut portions and subtract the result from the total volume to get the volume of the stairs, which represents the quantity of plaster required by Darla.

Length of the miniature stairs = 12 cm

Width of the miniature stairs = 11 cm

Height of the miniature stairs = 4 cm

The volume of the stairs with the cut portion = 528 cm³ (12 x 11 x 4)

The length of the cut portion of the stairs = 12 cm

The width of the cut portion of the stairs = 11 cm

The height of the cut portion of the stairs = 2 cm (4 - 2)

The volume of the cut portion of the stairs = 110 cm³ (11 x 5 x 2)

The volume of the stairs without the cut portion = 418 cm³ (528 - 120)

The total volume of plaster can also be computed separately as the volume of the larger object plus the volume of the smaller object.

418 cm³= (7 cm x 4 cm x 11 cm) + (5 cm x 2 cm x 11 cm)

= (308 cm³ + 110 cm³)

Thus, the quantity (volume) of plaster Darla needs is 418 cm³.

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Answer:

the answer is D

Step-by-step explanation:

i know because i used to work on computer programing it would take exactly 10-3 seconds

The :i) Mean = 189.54ii) Median = 83.5iii) Mode = Noneiv) Range = 1861v) Variance = 108091.74vi) Standard Deviation = 329.08

a) i) Mean:The formula for the mean is;   `Mean = (Sum of all data values) / (Total number of data values)`= (88+76+19+109+91+39+109+121+43+45+1880+41+60) / 13= 2464 / 13= 189.54

ii) Median: When the data set is ordered from smallest to largest, the median is the middle number. Since the number of data points is odd (13), the median is the average of the two middle numbers. The median is 76 and 91 (the 7th and 8th ordered data values), with an average of:Median = (76+91) / 2= 83.5

iii) Mode: The mode of a data set is the number that appears most frequently. In this case, there are no modes since no data value appears more than once.

iv) In this dataset, we have some extreme outliers, therefore the median would be the most effective measure of central tendency because it is less influenced by outliers than the mean.

b) Range, Variance, and Standard Deviation:Range:

The range is the distance between the highest and lowest data values.

Range = highest data value - lowest data value= 1880 - 19= 1861

Variance:

Variance is the sum of the squared deviations from the mean divided by the number of data values minus one.

Variance = Σ(x - μ)2 / (n - 1)= (48818.63 + 3049.08 + 29607.94 + 6192.74 + 217.69 + 11121.84 + 6192.74 + 12729.36 + 9542.97 + 8676.36 + 1220257.38 + 10823.79 + 4223.44) / (13 - 1)= 1297100.85 / 12= 108091.74

Standard Deviation:

The standard deviation is the square root of the variance.

Standard Deviation = √(Variance)= √(108091.74)= 329.08c)

77th Percentile & 1st Decile:

Percentile:

The 77th percentile refers to the value below which 77% of the data falls.

To calculate the 77th percentile, use the following formula:77th Percentile = [(77 / 100) x 12]= 9.24≈ 9th ordered value= 121The 1st decile is the value below which 10% of the data falls.

To calculate the 1st decile, use the following formula:

1st Decile = [(1 / 10) x 12]= 1.2≈ 1st ordered value= 19d) Mean, Median, Mode, Range, Variance, and Standard Deviation:

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To calculate the mean of the given data, add all the numbers together and divide by the total number of data values:

a) i) Mean :

Mean = (88+76+19+109+91+39+109+121+43+45+1880+41+60)/13=3325/13=255

ii) Median:

To determine the median, arrange the data set in numerical order and find the middle value. If there are an even number of values, find the average of the two middle values:19 41 43 45 60 76 88 91 109 109 121 1880Median = 88

iii) Mode:

The mode is the value that appears most frequently in the data set. There are no repeated values, so there is no mode.

iv) Which of the above do you think would be the best measure of central tendency for this data? Why? The median is the best measure of central tendency for this data. It represents the middle of the data set, and it isn't skewed by the extremely large value of 1880.

b) Range:

Range is calculated by subtracting the smallest value from the largest value:

Range = 1880 - 19 = 1861

Variance:

To calculate the variance, subtract the mean from each value, square the difference, and add the squares together. Then, divide the total by one less than the number of values in the data set:

Variance = (60536+28656+62736+17361+1296+576+729+5625+2916+3136+2740900+1296+2916)/(13-1)

=304225/12=25352.08

Standard deviation:

Standard deviation is the square root of the variance:

Standard deviation = sqrt(25352.08)

= 159.2

c) 77th percentile:

To calculate the 77th percentile, multiply 0.77 by the number of values in the data set. If the result isn't a whole number, round up to the next whole number:

77th percentile = 0.77(13) = 10th value = 1091st decile:To calculate the 1st decile, multiply 0.1 by the number of values in the data set. If the result isn't a whole number, round up to the next whole number:1st decile = 0.1(13) = 2nd value = 41

d) Mean: 255Median:

88Mode:

N/ARange:

1861Variance:

25352.08

Standard deviation: 159.2

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The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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Answer:

K

Step-by-step explanation:

As per diagram, the intersection of the line JL and plane R is the point K

Correct option is the last one

The graph of the scenario of the inequality 8x + 5y ≤ 100 is added as an attachment

From the question, the given parameters are:

Also, we have the inequality of the possible combinations to be

8x + 5y ≤ 100

Such that

The next step is to plot the graph of the inequality

This can be done by the use of a graphing tool

So, we enter the inequality on the graphing tool and attach the graph

Recall that the inequality is given as

8x + 5y ≤ 100

See attachment for the graph of the inequality 8x + 5y ≤ 100

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Answer:

Has an x-intercept of (0,0) and an increasing interval from (-2, infinite)

Answer:

The ones selected are correct

Answer: -4

Step-by-step explanation: Hello! :) To get started we need to use the equation 7x+3=4x-9, First, we need to subtract 4x from both sides to get 3x+3=-9, then we need to subtract 3 on both sides to get 3x=-12, Finally, we need to divide both sides by 3 to get x = -4. So x = -4.

Hope this helps!

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The sum of the angle measures of the polygon is 540°, the value of x is 5.

The sum of the angle measures of the polygon is 540°.

We know that the sum of the interior angles of a polygon of n sides = (n – 2) × 180°. = 3× 180°= 540°

If a polygon has x sides, then the sum of its angle measures can be found using the formula:

Therefore, for a polygon with x sides, the equation becomes:

⇒(x-2) * 180° = 540°

Solving for x, we get:

⇒x = (540° + 360°) / 180° + 2

⇒x = 3 + 2

⇒x = 5

So, the polygon has 5 sides.

Therefore, the value of  x is 5.

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Answer:

C and E

Step-by-step explanation:

C and E are the only ones that are the same and represent the excerpt

Hope this help s plz mark brainliest if correct :D

Answer:

the last answer and the 3rd one

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

because no number Is beside it except 1 because 1 x anything will give it back

The coefficient of the second term of the expression 3x⁴ + x² will be 1. Then the correct option is B.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The expression is given below.

⇒ 3x⁴ + x²

The number which is associated with the variable is known as the coefficient of that variable.

In the expression 3x⁴ + x², the coefficient of x⁴ is 3 and the coefficient of x² is 1.

The coefficient of the second term of the expression 3x⁴ + x² will be 1. Then the correct option is B.

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Answer:

$(1.08)(w-35)

Step-by-step explanation:

The list price of the camera is w dollars.

Dylan bought the camera for $35 less than the list price, so the price he paid before tax is (w - 35) dollars.

The sales tax is 8%, which can be expressed as a decimal by dividing by 100: 8/100 = 0.08.

To find the amount of sales tax, multiply the price before tax by the tax rate: (w - 35) * 0.08.

Add the sales tax to the price before tax to find the total amount Dylan paid: (w - 35) + (w - 35) * 0.08.

Factor out (w - 35) to simplify the expression: (1 + 0.08)(w - 35).

Calculate 1 + 0.08 = 1.08.

The final expression for the amount Dylan paid, including sales tax, is (1.08)(w - 35) dollars.

Answer:

y-187.50= 1.50(x-125)

this is in point slope, but in slope intercept it would be y=1.50x+0

Step-by-step explanation:

Answer:

\(y-187.50=1.50(x-125)\)

Step-by-step explanation:

Slope = $1.50

\(x=125\)

\(y=$187.50\)

Answer:

8.5 and 10.5

Step-by-step explanation:

add your x1 and x2 coordinate and divide them by 2 to get your x.

and for the y add your y1 and y2 coordinate and divide them by 2 to get your y.

The x1, x2, y1, and y2 in this situation would be (5,14) (being the bridge)

and (12,7) being the castle.

x1 = 5

x2 = 12

y1 = 14

y2 = 7

The best linear approximation to the function f(x) = e^x near x = 0 is L(x) = x + 1.

The given function is f(x) = e^x near x = 0.

To find the best linear approximation, L(x), we use the formula:

L(x) = f(a) + f'(a)(x-a),

where a is the point near which we are approximating.

Let a = 0, so that a is near the point x = 0.

f(a) = f(0) = e^0 = 1

f'(x) = d/dx (e^x) = e^x;

so f'(a) = f'(0) = e^0 = 1

Substituting these values into the formula: L(x) = 1 + 1(x-0) = x + 1

Therefore, the best linear approximation to f(x) = e^x near x = 0 is L(x) = x + 1.

For instance, linear approximation is used to approximate the change in a physical quantity due to a small change in another quantity that affects it.

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Step-by-step explanation:

a.3

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a) There is no correlation.

b) There is a correlation between commute time and city population.

c) The most likely conclusion from the information provided is that there is no correlation.

(a) The yoga instructor can conclude that there is no correlation between the amount of sleep and the number of calories burned during class. Based on the data collected, there is no observable relationship between these two variables.

(b) From the given information, we can conclude that there is a correlation between commute time and city population. As the city population increases, there is a longer commute time for drivers. However, this correlation does not imply causation. It is possible that other factors contribute to the longer commute time, and further studies would be required to establish a causal relationship.

(c) The most likely conclusion from the information provided is that there is no correlation between the start time and the amount of coffee consumed by employees. The data does not suggest any observable relationship between these two variables.

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The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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The formula to calculate the coefficient of variation is given as the ratio of the standard deviation to the mean. Coefficient of Variation = Standard Deviation / Mean.

It is represented as a percentage to make comparisons between sets of data with different units of measurement.Let's calculate the coefficient of variation for the above-given data. Coefficient of variation= Standard Deviation / MeanWe can calculate the standard deviation by using the following formula: σ = √ ∑ (Pᵢ (Xᵢ – μ)²).

For our given data, the calculation of standard deviation is shown below:σ = √ (.30(70-100)² + .30(90-100)² + .40(150-100)²)σ = √ (63,000)σ = 251.97We can calculate the mean by using the following formula: Mean = ∑ (Pᵢ Xᵢ)For our given data, the calculation of Mean is shown below:Mean = (.30 x 70) + (.30 x 90) + (.40 x 150)Mean = 25 + 27 + 60Mean = 112Coefficient of variation= Standard Deviation / Mean Coefficient of variation= 251.97 / 112Coefficient of variation = 2.247 rounded to 3 decimal places. Therefore, the coefficient of variation is 2.247.

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Answer:

I'm pretty sure it is 3 hours.

Step-by-step explanation:

Well, when you add 9 plus 6, you get 15. Then you divie 45 by 15, which gives you three. Hope this helps. Good luck :D

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FISRT RIGHT THEN EQUATION IN THE GENERAL FORM y=mx+c

y=-4-15x

In the y intercept the x coordinate in the axis is 0.

therefore we can plug in the value 0 in the place of x and solve for y

\(y = - 4 - 15(0) \\ y = - 4\)

The y intercept is -4.

Step-by-step explanation:

not a solution

(4,3) / (3,10)

solution

)4,-3)...........(2,10)

Answer:

280 hours

Step-by-step explanation:

The function g(x) can be derived from f(x) by vertical dilation and vertical translation. f(x) = (13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2 and g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.502.

In this question we must infer what kinds of rigid transformations were used to obtain g(x) in terms of f(x). Points A and B belong to the function f(x) and points A' and B' lie on the curve of function g(x). Rigid transformations are transformations applied on functions such that Euclidean distance is conserved.

We noticed the use of rigid transformations on f(x) such that g(x) is found:

Vertical dilation

f'(x) = k · f(x), where k > 0

Vertical translation

g(x) = k · f(x) + c, where c is the translation factor.

We notice that both f(x) and g(x) are both cubic functions. The former has a vertex at (x, y) = (0, 1.5). First, we determine the coefficients of f(x) by solving the following system of linear equations:

(x₁, y₁) = (1, 6), (x₂, y₂) = (- 2, - 30), (x₃, y₃) = (0, 1.5), (x₄, y₄) = (- 1, - 4)

a + b + c + d = 6

- 8 · a + 4 · b - 2 · c + d = - 30

d = 1.5

- a + b - c + d = - 4

The solution of the system is (a, b, c, d) = (13 / 4, - 1 / 2, 7 / 4, 3 / 2). Then, the expression for the function f(x) is f(x) = (13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2.

Now we evaluate the function f(x) at x = 7 and x = - 8:

f(7) = (13 / 4) · 7³ - (1 / 2) · 7² + (7 / 4) · 7 + 3 / 2

f(7) = 1104

f(- 8) = (13 / 4) · (- 8)³ - (1 / 2) · (- 8)² + (7 / 4) · (- 8) + 3 / 2

f(- 8) = - 3417 / 2

Now we determine the coefficient of dilation and the translation factor:

f(7) = 1104, f(- 8) = - 3417 / 2, g(7) = 2.5, g(- 8) = - 6.5

2.5 = 1104 · k + c

- 6.5 = - 3417 · k / 2 + c

The solution of the system of linear equations is (k, c) = (250 / 47489, 2.494). Then, we find that the expression for g(x) is g(x) = (250 / 47489) · [(13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2] + 2.494, whose simplest form is:

g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.494

g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.502

The function g(x) can be derived from f(x) by vertical dilation and vertical translation. f(x) = (13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2 and g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.502.

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Answer: the answer is X= 12

Answer: X = 12

Step-by-step explanation:

6x - 21 = 4x + 3

get x by itself and i chose to subtract 4x on the right side

2x - 21 = 3

add 21 to both sides

2x = 24

x = 12