446 − 312 = 146 −
moby max

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

A way to show this expression in words is  First, subtract 12 from 30, then multiply by 2. Option A

PEDMAS is described as a mathematical acronym that is used for the representation of mathematical operations.

It also represents the order for which they should be used.

The letters represents;

From the information given, we have that;

(30 − 12) x 2

solve the parentheses first

8(2)

Multiply the value

16

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Answer:

- 5

Step-by-step explanation:

Given

(- 2 × 2 - 6) ÷ 2

Evaluate the parenthesis performing the multiplication before subtracting.

= (- 4 - 6) ÷ 2

= - 10 ÷ 2

= - 5

1. The break-even point in unit sales and in dollar sales is 4,500 units and $324,000 respectively.

2. If the variable expenses per stove increase as a percentage of the selling price, will it result in a higher break-even point.

3. Income statements before and after changes are implement net income of $36,000 and $(28,000) respectively.

4. The company has to sell 5,401 units to achieve the target profit of $35,000 per month.

1. The break-even point in unit sales and dollar sales is computed as follows:

Break-Even Point in Unit Sales = Fixed Costs / Contribution Margin per Unit = $108,000 / ($50 - $32) = 4,500 units

Break-Even Point in Dollar Sales = Fixed Costs / Contribution Margin Ratio = $108,000 / ($50 / $18) = $324,000

2. If variable expenses per stove increase as a percentage of selling price, it will result in a higher break-even point. Since variable expenses would have a higher percentage of revenue, contribution margin would be lower, making it more challenging to cover fixed costs.

3. Present Income Statement

Sales (8,000*$50) $400,000

Less variable expenses (8,000*$32) (256,000)

Contribution Margin $144,000

Less fixed expenses 108,000

Net Income $36,000

Income Statement if Changes are Implemented

Sales (8,000*$45) $360,000

Less variable expenses (8,000*$35) (280,000)

Contribution Margin $80,000

Less fixed expenses 108,000

Net Loss $(28,000)

4. The contribution margin ratio is 36% ($18/$50). So, the sales revenue required to achieve the target profit is:

$35,000 / 0.36 = $97,222

The number of units required to be sold is:

$97,222 / $18 = 5,401 units

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Answer:

0.1728

Step-by-step explanation:

6^-2= 1/6^2

3^-3= 1/3^3

1/36 * 1/27 * 3.6 * 3.6 * 3.6

= 0.1728

Answer:  The slope is \(\frac{1}{2}\).

Step-by-step explanation:

\(Slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } =\frac{-1-2}{1-7} =\frac{-3}{-6} =\frac{3}{6}=\frac{1}{2}\)

Answer:

901,287

982,282

287,099

Step-by-step explanation:

287,982,287,901,287,099

Answer:

32n = 100 - 20

n = 2.5

he purchased 2 sweaters

Step-by-step explanation:

32n = 100 - 20

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n which means that he was able to but 2 sweaters and got $16 back. Therefore the formula would be 32n = 100 - 20

The formula for the number of sweaters will be 32n = 100 – 20.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Favian received a $100 gift card to a clothing store.

Using only the gift card, he was able to purchase n sweaters that cost $32 each and 1 belt for $20.

If there was no tax on the sweaters and belt,

Then the equation will be

32n + 1 x 20 = 100

    32n + 20 = 100

             32n = 80

                 n = 2.5 ≈ 2

If Favian originally had $100 but spent $20 on a belt, he only had 80 left, meaning that 80 = 32n, which means that he was able to but 2 sweaters and got $16 back.

Therefore, the formula would be 32n = 100 – 20.

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Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

1/4 is the simpleist form (sorry for my bad grammer)

Answer:

The area is 67.36 cm squared

Step-by-step explanation:

The height is 8.982. The base is 15. 8.982 * 15 = 134.73 / 2 = 67.36

To convert the division algorithm Y=X/(-2) into a multiplication algorithm, multiply both sides of the equation by -2 to get X = -2Y.

To convert the division algorithm Y=X/(-2) into a multiplication algorithm, we can manipulate the equation by multiplying both sides by -2. By doing so, we get -2Y = X. This equation represents the multiplication algorithm equivalent to the given division algorithm.

Multiplying both sides by -2 allows us to eliminate the division by -2 on the right side of the equation. The negative sign in front of the 2 is included to maintain the equality between the two sides of the equation. As a result, the equation X = -2Y represents the multiplication algorithm that is equivalent to the division algorithm Y = X/(-2). Now, instead of dividing by -2, we can multiply by -2 to achieve the same result.

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Answer:

Step-by-step explanation:

a=54,23

b=12,1

Answer:

Attached to this answer are some of the ways you could rewrite \(4*10^{-3}\)

Answer:

\(\frac{1}{32}\)

Step-by-step explanation:

Using the rule of exponents

\(a^{-m}\) = \(\frac{1}{a^{m} }\) , then

\(2^{-5}\) = \(\frac{1}{2^{5} }\) = \(\frac{1}{32}\)

Answer: The area of 3 pieces is approximately 231 square feet.

Step-by-step explanation: The area of a circle is calculated using the formula A = πr², where A represents the area of the circle, π is a mathematical constant approximately equal to 3.14 (or 22/7), and r represents the radius of the circle. In this case, the radius of the circle is given as 14 feet.

Substituting these values into the formula, we get A = (22/7) * 14² = 616 square feet. This represents the total area of the entire circle.

Since the circle is cut into 8 equal pieces, we can find the area of each piece by dividing the total area of the circle by 8. This gives us an area of 616/8 = 77 square feet for each piece.

Finally, since you are interested in finding the area of 3 pieces, we can simply multiply the area of one piece by 3 to get a final answer of 77 * 3 = 231 square feet.

Hope this helps, and have a great day!

Answer:

231 square feet

Step-by-step explanation:

Total area:

\(A=\pi r^{2} =(\frac{22}{7} )(14)^{2} =\frac{(22)(196)}{7} =\frac{4312}{7} =616sq.ft.\)

Divide into eight pieces:

\(\frac{A}{8} =\frac{616}{8} =77sq.ft.\)  each piece

Three-piece area:

\((3)(77)=231sq.ft.\)

Hope this helps

Step-by-step explanation:

For g(x) = f(x) + 5:

Because f(x) = x, this can be simplified to:

y = x + 5

For h(x) = 2 * f(x) - 3, simplified to:

2*x - 3 or 2x - 3

For j(x) = \(\frac{1}{2} * f(x) - 1\), simplified it is

\(\frac{1}{2}x - 1\)

For f(x), this can be drawn relatively easy, it is a linear line starting at the coordinates (0,5) gradually increasing by 1 in both the y and x axis. It can be drawn parallel to the line given in your question just one above.

For h(x), the line will start at (0, -3) but then have an incline of 2, i.e. the second point would be at 1, -1, and the third at (3, 3). This is because you are doubling the value of x but subtracting 3.

For j(x), x is halved so the line will be less steep although it will start at the coordinate (0, -1) because 1 is being subtracted.

Hope this helps!

Answer:

This is only for the first part. Please see the attached image for the graphs of the three given functions.

Step-by-step explanation:

1. g(x) = f(x) + 5

This involves the vertical shift of 5 units.  

Start by solving for the y-intercept. The y-intercept is the value of y (or g(x) when x (or f(x) )  = 0:

Substitute f(x) with 0:

g(x) = f(x) + 5

g(x) = 0 + 5

g(x) = 5

The y-intercept is (0, 5)

According to one of the hints provided in your instruction, it states that you can use the slope to find another point.  

In your given function, g(x) = f(x) + 5, the slope is 1 (it is implied, meaning, if your function is rewritten in its slope-intercept form, it is y = x + 5, in which your slope is implied as 1/1 or 1). So, to find another point, from the y-intercept (0, 5), you can go 1 unit up, and 1 unit to the right, which gives you the next point: (1, 6). Likewise, to go to the opposite direction, you can go down 1 unit, and 1 unit to the left.  

2.  h(x) = 2 * f(x) - 3

The slope of this function is 2, and the y-intercept is -3.  If you rewrite h(x) = 2 * f(x) - 3 into its slope-intercept form, it will be: y = 2x - 3. That is why the slope (m) = 2, and the y-intercept (b) = -3.  

To start, we can find the y-intercept, which is, again, the value of y (or h(x)) when f(x) = 0:

h(x) = 2 * 0 - 3

h(x) = 0 - 3

h(x) = -3

Therefore, the y-intercept is (0, -3). This can be your starting point to draw a line.  

From this point, you can use the slope (2/1) to find more points by going up 2 units, and 1 unit to the right. You'll end up with the next point, (1, -1).  Likewise, to go on the opposite direction, you can go 2 units down, and 1 unit to the left.  

3. j(x) = ½* f(x) - 1

The slope of this function is 1/2, and the y-intercept is -1. If you rewrite j(x) = ½* f(x) - 1 into its slope-intercept form, it will be: y = 1/2x - 1. That is why the slope (m) = ½, and the y-intercept (b) = -1.  

Same as the previous steps, you can start with the y-intercept by setting f(x) = 0:

j(x) = ½* f(x) - 1

j(x) = ½* 0 - 1

j(x) = 0 - 1

j(x) = - 1

Therefore, the y-intercept is (0, -1). Same as the previous functions, you can use the slope (m = ½) and start going 1 unit up, and 2 units to the right to get to the next point, (2, 0).  Keep going until you have enough points to connect and draw a line with.

Please see the attached image for the graph.  

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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Answer:

LET ME KNOW WHEN U GET THE ANSWERR

Step-by-step explanation:

Answer:

Scale Factor = 0.75

Step-by-step explanation:

The dilated object (image) has coordinates given as:

X' (-6, -1.5)

Y' (0, -4.5)

Z' (-9, -9)

The coordinates of the object (the initial) as read from the graph are given by:

X (-8, -2)

Y(0, -6)

Z (-12, -12)

To get the scale factor, we will compare the coordinates of the image to the initial object.

Kindly note that the image is the triangle in red

while the object is the triangle in black

Comparing the X' and X coordinates

\(for \: the \: x - coordinte \\ \\ \frac{ - 6}{ - 8} = \frac{3}{4} \\ \\ for \: the \: y - \:coordinate \\ \\ \frac{ - 1.5}{ - 2} = \frac{3}{4} \)

Similarly, if we compare Y' and Y and also Z' and Z

The scale factor is:

\(scale \: factor \: = \frac{3}{4} = 0.75\)

Answer:

The probability of them picking granola is 1/3

The probability of them choosing juice is 1/4

Step-by-step explanation:

Hope it helps :)

The probabilities, using the binomial distribution, are given as follows:

The mass probability formula used to obtain the probability of x successes is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

The probability of none buying is:

P(X = 5) = (2/3)^5 = 0.132.

The probability that exactly 3 will have filed a claim after 5 years is:

P(X = 3) = 10 x (1/3)³ x (2/3)² = 0.165.

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The sequence of transformations of rectangle A onto rectangle B is

B)  A dilation with a center of dilation at the origin, followed by a translation down and a translation to the left.

The graph's curve "moves to the left/right/up/down," "it expands or compresses," or "it reflects" when a function is transformed. For instance, simply advancing the graph of the function g(x) = x2 by 3 units will yield the graph of f(x) = x2 + 3. Function transformations are very useful for graphing the functions by simply moving, expanding, compressing, or reflecting the curve, as opposed to having to start from scratch with the graphing.

A function transformation "moves," "resizes," or "reflects" the parent function's graph, depending on the case. Function transformations can be broadly divided into three categories:

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Answer: For question #1, it’s #3. For question #2 a) it’s –12/5, for question #2 b, c and d) uh, let someone else can answer the rest of the question.

Step-by-step explanation: I solve the problem by solving this equation below.

Answer:

100+20h

Step-by-step explanation:

100 is fee plus 20h which is 20 per hour

After pouring some water from container A into container B, the new height of the water in both containers will be equal.

When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.

When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.

The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.

Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.

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To calculate the amount of money Karen will have in her savings account after two years, we need to use the formula for compound interest:

\(A = P(1 + r/n)^(n t)\)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the annual interest rate (0.2% per month)
n is the number of times interest is compounded per year (12, since it's compounded monthly)
t is the time in years (2)
Plugging in the values:
A = 500(1 + 0.002/12)^(12*2)
A = 500(1 + 0.0001667)^(24)
A = 500(1.0001667)^(24)
A ≈ 500 * 1.00399995
Rounding to the nearest cent, Karen will have approximately $502 in her account after two years.
Therefore, the correct answer is a) $502. Karen will have approximately $502 in her savings account after two years.

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In ANOVA (Analysis of Variance), the total variability in the data is partitioned into two components: True. The within-treatments variance in an ANOVA provides a measure of the variability inside each treatment condition.

In ANOVA (Analysis of Variance), the total variability in the data is partitioned into two components: the between-treatments variability and the within-treatments variability. The between-treatments variability represents the differences among the treatment conditions, while the within-treatments variability measures the variability within each treatment condition.

The within-treatments variance, also known as the error variance or residual variance, quantifies the variation that cannot be attributed to the differences among treatment conditions. It captures the random variability within each treatment group, accounting for the individual differences and random errors present within the groups.

By analyzing the within-treatments variance, we can assess how much variation exists within each treatment condition and evaluate the consistency or homogeneity of the data within each group. It helps determine the extent to which the treatment conditions explain the observed differences and whether any remaining variation is due to random fluctuations or other factors.

Hence, the statement that the within-treatments variance provides a measure of the variability inside each treatment condition is true in the context of ANOVA.

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Answer:

Step-by-step explanation: 6* (N + 6) = -24

                                              6*n + 6*6=-24

                                               6n+36=-24

                                                   -36   -24

                                                   6n=-60

                                                    n=-10