The midpoint of line segment RT is at (3.5, 2). If R is at (-3, 7), what are the coordinates of T?

Answer:

X=3

Step-by-step explanation:

2/3*(3x+6)=10

2x+4=10

X=6/2

x=3

Answer:

1,110,000

Step-by-step explanation:

I hope this helps!

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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In arithmetic progression, 9,15,21,27,33,39 is a₅ and    a₆ .

What is arithmetic progression?

a₁ = 9

a₂ = 15

a₃ = 21

Notice that a₂ - a₁ = 6 and a₃ - a₂ = 6

We can deduce that aₙ₊₁ = aₙ + 6

We can test this on the 4th term : a₄ should equal  21  + 6 = 27

Since this checks out we can say that the sequence is an arithmetic progression with a common difference of 6.

a₅ = 27 + 5 = 33

and

  a₆ = 33 + 6 = 39

7,0,-7,-14

find the common difference by substracting any term in the sequence from the term that comes after it.

 a₂ - a₁  = 0 - 7 = -7

 a₃ - a₂ = -7 - 0 = -7

 a₄ - a₃ = -14 - -7 = -7

the difference of the sequence is constant and equals the difference between two consecutive terms.

  d = -7

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The time it will take ;

a. 6 men is 1 hour

b. 5 men is 1 1/5 hours

c. 2 men is 3 hours

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4)

If 3 men load for 2hours

1 will load for 2× 3 = 6hours

then;

a. for 6 men, they will load it for 6/6 = 1hour

b. for 5 men, they will load it for 6/5 = 1 1/5 hours

c for 2 men , they will load it for 6/2 = 3 hours

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Problem 1

------------------------

Explanation:

The center is (0,0), so this means h = 0 and k = 0.

The transverse axis runs through the two vertices. Since it's vertical, this means we will go with this general template.

\(-\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2} = 1\\\\\)

The fraction with the positive in front will indicate if we have a horizontal or vertical transverse axis (x = horizontal, y = vertical).

So,

\(-\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2} = 1\\\\-\frac{(x-0)^2}{8^2}+\frac{(y-0)^2}{9^2} = 1\\\\-\frac{x^2}{64}+\frac{y^2}{81} = 1\\\\\frac{y^2}{81}-\frac{x^2}{64} = 1\\\\\)

========================================================

Problem 2

------------------------

Explanation:

Let's divide both sides by 176,400 to get that right hand side equal to 1.

\(225x^2 + 576y^2 = 176,400\\\\\frac{225x^2 + 576y^2}{176,400} = \frac{176,400}{176,400}\\\\\frac{225x^2}{176,400} + \frac{576y^2}{176,400} = 1\\\\\frac{x^2}{784} + \frac{y^2}{306.25} = 1\\\\\frac{x^2}{28^2} + \frac{y^2}{(17.5)^2} = 1\\\\\)

The last equation is in the form \(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\\\\\) which represents an ellipse centered at the origin with semimajor and semiminor axis lengths of 'a' and 'b'. The larger of the 'a' and b values tells us which is the semimajor axis length. In this case, that would be a = 28. This is the distance from the center to the ellipse, and this is the longest such distance to travel. Therefore, you picked the correct answer in 28 Megameters.

This converts to 28000 km which is roughly 17398.393 miles. To get a sense of how big this is, the circumference of the earth is roughly 24901.461 miles around the equator.

Side note: the moon is at the apogee point when it is the farthest away from the planet.

========================================================

Problem 3

------------------------

Explanation:

The general ellipse template is

\(\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1\\\\\)

where (h,k) is the center and a,b describe half the lengths of the horizontal and vertical axis respectively.

The major axis is vertical, which indicates that b > a. In other words, the denominator for the y term will be larger than the denominator for the x term. Your teacher mentions a = 7 and b = 5, but I think it's better to keep the 'a' always with x so you don't mix things up. Though of course that's just my opinion. Anyways, so because b > a, we'll have b = 7 and a = 5.

Plugging those in, along with the given center, and we'll get this:

\(\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1\\\\\frac{(x-1)^2}{5^2} + \frac{(y-(-3))^2}{7^2} = 1\\\\\frac{(x-1)^2}{25} + \frac{(y+3)^2}{49} = 1\\\\\frac{(y+3)^2}{49} + \frac{(x-1)^2}{25} = 1\\\\\)

We arrive at choice D as the final answer.

Answer:

about 41 cents

Step-by-step explanation:

The  area of the rectangle is given by the product of length and the

width of the rectangle.

Response:

The coordinates of the vertices of rectangle ABCD are;

A(-4, -2), B(-2, -2), C(-2, 7), and D(-4, 7)

Required:

The area of rectangle ABCD

Solution:

The distance between sides that have the same x or y coordinates are

given by the difference between the other coordinates, as follows;

Length of AB = -2 - (-4) = 2

Length of BC = 7 - (-2) = 9

Length of CD = -2 - (-4) = 2

Length of AD = 7 - (-2) = 9

Therefore;

Length of the rectangle = 9 units

Width of the rectangle = 2 units

The area of a rectangle = Length × Width

The area, A, of the rectangle is therefore;

A = 9 units × 2 units = 18 units²

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Answer:

18

Step-by-step explanation:

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

Answer:

15

Step-by-step explanation:

15

Answer:

27.84?

Step-by-step explanation:

17.4*1.6

Answer: 20

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Factors of 40: 1,2,4,5,8,10,20,40

Factors of 80: 1,2,4,5,8,10,16,20,40,80

Factors of 100: 1,2,4,5,10,20,25,50,100

The greatest common factor is 20

Answer:

360

Step-by-step explanation:

You simply need to multiply 60 by 6 which is 60*6=360

Please give brainliest if I helped! :)

The appropriate hypothesis test is a two-sample t-test for independent samples.

The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.

The test statistic can be calculated using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

Where:

x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.

s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.

n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.

Plugging in the given values:

x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108

t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))

t = 1 / sqrt(0.00926 + 0.0463)

t ≈ 1 / sqrt(0.05556)

t ≈ 1 / 0.2357

t ≈ 4.241

To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).

The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.

Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.

Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.

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Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

answer:

the total angle of a triangle is 180°

since all of the sides of the triangle are even, then it means that all the angles are also equal

180 divided by 3 (because theres 3 angles) = 60

since one of the interior angle of the triangle is 60, the congruent angle of x also equals to 60° and also 60+60+60=180 (straight line)

i made a little diagram above for you, i hope it helps you and goodluck!! :)

The value of angle x is 60° in the triangle.

Triangle is defined as the polygons of the three-sided and three-sided variety. The fundamental equation for a triangle's area is A = 1/2 b h, where b and h are the product of the triangle's base and height. All triangle shapes, including scalene, isosceles, and equilateral triangles, can be calculated using this formula.

The exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices, and angle x is one of the triangle's exterior angles.

Given that all three angles in a triangle are equal and all three sides of the triangle are even, the total angle of the triangle is 180°.

Since one of the interior angles of the triangle is 60°, the congruent angle of x is also 60°, therefore 60+60+60=180. (straight line).

So, the value of x is 60°

Thus, the value of angle x is 60° in the triangle.

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Answer: B

Step-by-step explanation:

To solve for x, we have to use inverse properties.

\(-x+\frac{3}{7} =2x-\frac{25}{7}\)              [subtract both sides by \(\frac{3}{7}\)]

\(-x=2x-4\)                       [subtract both sides by 2x]

\(-3x=-4\)                           [divide both sides by -3]

\(x=\frac{4}{3}\)

This gives the answer B.

Answer: Observational ; does not

Step-by-step explanation: The main distinguishing factor between an experimental study and an observational study lies in the administration of treatment to the participant of the study. In experimental study, some or all the participant in the study are subjected or exposed to a certain treatment and their response to such treatment. ON THE OTHER HAND, Observational study is usually employed when there is a need to gather information on a particular subject matter without directly influencing the participants. In the scenario above, participants were not given any TREATMENT as they were only required to gather information and not to measure the effect of a treatment.

Answer:

19531250

Step-by-step explanation:

I hope it helps

Answer:

8% multiped by what ever the decimal is

Step-by-step explanation:

5% + 3% = 8%

Problem

Use a mapping diagram to determine whether the relation is a function

(4,3),(1,5),(1,9),(8,7),(2,12),(4,2)

Solution

For this problem we just need to see if for each value of x we have only and just only one value of y.

And if we check we see that we have two points

(1,5),(1,9)

We can see that the same value x=1 have two corresponding values of y=5 and y=9. So for this case we can conclude that this relationship is not a function

Answer:

45%

trust me i took this test before

Step-by-step explanation:

NOTE: sorry if im wrong

ANSWER: C.

Answer:

a)

c)

d)

Step-by-step explanation:

a) true : from inspection of the graph, when h=0, g=50, so g(0)=50

b) false : we are told that h is hours after 8:00am.  Therefore, when h=12, this would be 8:00pm

c) true : from inspection of the graph, the maximum temperature occurs when h=7. We are told that h is hours after 8:00am, so when h=7 this would be 15:00 = 3.00pm

d) true : from inspection of the graph, we can see that when h=11, g≈62 and when h=8, g≈74.  Therefore g(11) < g(8)

e) false : at 8.00am, h=0 and g=50.  At 1.00pm, h=5 and g≈71.  71-50=21.  21≠10.

Answer:

The height of the tower should be 120 m

Step-by-step explanation:

Step-by-step explanation:

plus Answer. work out 2 to 5 Questions

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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Answer:

5/51 or 9.8

Step-by-step explanation:

Since she does not put the marble back it's dependent.

1/3 chances the first marble is red and 5/17 the second is too.

Multiply and you get 5/51 odds, or approximately 9.8% chance

Answer:

1/9.

Step-by-step explanation:

Prob(First marble is red) = 6/18 = 1/3

Prob(Second marble is red) = 1/3

Required probability = 1/3 * 1/3 = 1/9.