The ratio of boys to girls in the 10th grade at Hazlehurst High School is 5:7. If there are 600 students
in the 10th grade, how many are girls?

The surface area of the figure given which is a rectangular prism is 1362cm²

The total region or area covered by all the faces of a rectangular prism is defined as the surface area of a rectangular prism. A rectangular prism is a three-dimensional shape. It has six faces, and all the faces are rectangular-shaped. Therefore, both the bases of a rectangular prism must also be rectangles.

The surface area of the prism is calculated by the formula

A = 2[(lw) + (lh) + (wh)]

To solve this problem, we have to divide the prism into two different parts and solve for the area.

For the first rectangular prism;

A = 2[(lw) + (lh) + (wh)]

A = 2[(8 * 14) + (8 * 14) + (14 * 14)]

A = 840cm²

The area of the second figure will be;

A = 2[(8 * 17) + (17 * 5) + (8 * 5)]

A = 552cm²

The total surface area of the figure is 840cm² + 552cm² = 1362cm²

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Coordinates of point A is (-2 and 1)

Coordinates of point B is (1 and -1)

\( \begin{cases}\large\bf\red{ \longrightarrow} \rm \: Distance \: = \: \sqrt{(x_2 - x_1 ) \: + \:(y_2 - y_1 )} \\ \\ \large\bf\red{ \longrightarrow} \rm \:Distance \: = \:\sqrt{(1 - [ - 2]) ^{2} \: + \:( - 1 - 1)^{2} } \\ \\ \large\bf\red{ \longrightarrow} \rm \: Distance \: = \: \sqrt{( - 3) ^{2} \: + \:( - 2) ^{2}} \\ \\ \large\bf\red{ \longrightarrow} \rm \: Distance \: = \: \sqrt{6 \: + \: 4} \\ \\ \large\bf\red{ \longrightarrow} \rm \: Distance \: = \: \sqrt{10} \ \\ \ \\ \large\bf\red{ \longrightarrow} \rm \: Distance \: = \:3.1622 \: \: units \end{cases}\)

Ending Inventory Cost and Cost of Goods Sold using different inventory methods:

FIFO Method:

Ending Inventory Cost: $11,920

Cost of Goods Sold: $15,068

LIFO Method:

Ending Inventory Cost: $11,996

Cost of Goods Sold: $15,123

Weighted Average Cost Method:

Ending Inventory Cost: $11,974

Cost of Goods Sold: $15,087

Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.

This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.

Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.

This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.

Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.

Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.

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Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Step-by-step explanation:

multiply them for example 12 times 16 equal 192m

Answer:Sas,yes,no that’s all I know im sorry I don’t know the last one!

Step-by-step explanation:

Answer:

\( 4x^2 + 36x + 80 \)

Step-by-step explanation:

Area of the photograph with the mat = area of the photograph + area of the mat

Area of the photograph = length * width = 10*8 = 80 in²

Area of the mat:

Decompose the mat frame into 4 rectangles and 4 squares (these are the corners of x*x dimensions)

The 4 rectangles = 2(8*x) + 2(10*x) = 16x + 20x = 36x

The 4 squares (the corners) = 4(x*x) = 4x²

The area of the photograph with the mat = 80 + 36x + 4x²

Rearrange in standard form:

The expression for the area would be:

✅\( 4x^2 + 36x + 80 \)

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

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Answer:

y-0=8

Step-by-step explanation:

um

42.9 goodluck :) ...

Answer:

x =(10-√112)/2=5-2√ 7 = -0.292

x =(10+√112)/2=5+2√ 7 = 10.292

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

3/1 or 12/4

Step-by-step explanation:

This is the case because all you are doing is converting it into a fraction.

. 3 feet to 1 yard- 3/1

.12 feet to 4 yards- 4/12

Answer:

c-9

Step-by-step explanation:

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

The answer is D: conjecture

The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.

The other answer choices are defined as follows:

A. conjugation - the act of changing a verb to agree with its subject

B. conjunction - a connecting word

C. congruence - the state of agreeing, matching, or coinciding

D. conjecture - an opinion or conclusion formed on the basis of incomplete information

So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.

The vertex and axis of symmetry of the parabola is (-2,-3) and x = -2 respectively.(optionA).

An axis of symmetry is a line about which a figure is symmetrical.

A vertex is the maximum or minimum point of a parabola.

The vertex of the parabola can be found from the graph.

The y coordinate of the vertex is -3 and the x coordinate of the vertex is -2

Therefore the vertex of the parabola is (-2,-3).

The axis of symmetry is can also be found from the graph,

The point where the parabola can be divided into two is the axis of symmetry.

The axis of symmetry is x = -2

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Answer:

1.07421 (This is US, it may be different elsewhere.)

Answer:

What?

Step-by-step explanation:

Answer:

y=2,:x=1

Step-by-step explanation:

Answer:

y = -4x + 9

Step-by-step explanation:

using any two points, in this case (0, 5) and (3, -7) you can find slope by using this formula: \(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

plug in the x- and y- values of the two points above

\(m=\frac{-7-5}{3-0}=\frac{-12}{3}=-4\)

y = -4x + b

use any point of the line and plug it into the equation above

5 = -4(0) + b

5 = -4 + b

5 + 4 = -4 + b +4

9 = b

the equation in full is y = -4x +9

Given:

The function is:

\(f(x)=x^3-x\)

To find:

The average of change of f(x) over the interval [1,5].

Solution:

We have,

\(f(x)=x^3-x\)

At x=1, we have

\(f(1)=(1)^3-(1)\)

\(f(1)=1-1\)

\(f(1)=0\)

At x=5, we have

\(f(5)=(5)^3-(5)\)

\(f(5)=125-5\)

\(f(5)=120\)

The average of change of f(x) over the interval [a,b] is

\(m=\dfrac{f(b)-f(a)}{b-a}\)

Now, the average of change of f(x) over the interval [1,5] is

\(m=\dfrac{f(5)-f(1)}{5-1}\)

\(m=\dfrac{120-0}{4}\)

\(m=\dfrac{120}{4}\)

\(m=30\)

Therefore, the average of change of f(x) over the interval [1,5] is 30.

The rational function representing the graph is \(f(x) = \dfrac{x}{(x-5)(x+2)}\). The correct option is C.

Any function that can be expressed mathematically as a rational fraction an algebraic fraction in which both the numerator and the denominator are polynomials is referred to as a rational function.

One curve is at x = 5 and the second curve is at x = -2. The numerator value is x = 0.

The function can be written as,

\(f(x) = \dfrac{x}{(x-5)(x+2)}\)

The graph of the function is attached with the answer below.

Therefore, the correct option will be C, for the given graph in the image.

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Answer:

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Step-by-step explanation:

For a dilation at the origin, multiply each of the coordinates by the scale factor.

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

The polygon does not belong to the group as it is created by a finite number of line segments and the concept of the radius of curvature is not applicable.

In this problem we have three shapes related to circle-like and ellipse-like arcs (circle, semicircle, ellipse) and a regular polygon.

Circles are closed figures created by a arc whose radius of curvature is the same at every point and ellipses are closed figures created  by a arc whose radius of curvature varies in the following interval: a ≤ r ≤ b, where a, b are the lengths of the semiaxes.

Polygons are closed figures created by a finite number of line segments and therefore the concept of radius of curvature is not applicable.

Therefore, the polygon does not belong to the group as it is created by a finite number of line segments and the concept of the radius of curvature is not applicable.

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Answer:

the answer is 18 cause if u replace it is will give 45 +45 for the angle beside would give u 90

Answer:

24 ÷ ( 8 - 2 )

= 24 ÷ 6

= 4

so, 4 is the answer

Answer:

on your question it says “=“ but on the picture it says “÷”

so for 24=(8-12) it would be 30

and for 24÷ (8-12) it would be -6

Step-by-step explanation:

Hope this helps, have a good day

Answer:

JK=104°

KIJ=52

Step-by-step explanation:

The measures of the arc JK and angle KIJ of the given inscribed triangle are; Arc JK = 104° and  ∠KIJ = 52°

We have been given the arc KI = 116°, so we can find the angle KJI by intercept property.

Angle KJI = arc KI/ 2

Thus;

Angle KJI = 116°/2

Angle KJI = 58°

Now by angle sum property of a triangle, we get:

∠ K + ∠ I + ∠ J = 180°

70° + ∠I + 58° = 180°

∠I = 52°

By using intercept formula, we get arc KJ;

∠JIK = arc JK/ 2

2(∠ JIK) = arc JK

2(52°) = arc JK

arc JK = 104°

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Gender is categorical nominal, end-of-the-year stock classification is categorical and ordinal, and distance is quantitative and ratio.

Quantitative variables are measured with numbers. Some examples include:

Weight measured in kilos

The distance measured in meters or kilometers

Time measured in seconds or hours

On the other hand, a categorical variable is defined by features, categories, or concepts rather than numbers. Here is an example:

Breeds of dogs: Poodles, Boston Terriers, German shepherds, etc.

Moreover, variables can be classified as:

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