Kathleen has a $750 loan payment due in six months. What amount of money should she be able to pay today if the interest on her loan is 5.75% per annum? (Do not round intermediate calculations and round your final answer to 2 decimal places.)

The correct option to make the triangle prism by net will be;

⇒ First option.

A triangular prism is also known as a pentahedron which comprises of two triangle bases and three rectangular sides.

Since, The net of the triangular prism is formed as a result of unfolding that occurs along the edges and faces as they are laid out in a pattern of two dimensions.

Hence, From the given question ;

We would see that the first option matches and correlates with triangular prism in question.

Thus, The ''first option'' from the diagram given represents the triangular prism in the question.

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The figure of the question is shown in image.

Answer:

A. (12 , -12)

B. (-2 , -8)

C. (15 , 0)

E. (0 , 12)

Step-by-step explanation:

Answer:

A statistical question is a question that can be answered by collecting data and analyzing it. In this case, the statistical questions are B, C, and E.

Statistical questions are open-ended and require data collection and analysis, while non-statistical questions have specific answers. B asks for the number of points the team scored in each game it played, which can be recorded and analyzed to find trends and patterns in the team's performance. C asks for the number of points the team scored in each of its home games, which is a more specific subset of data that can also be analyzed for patterns and trends.
E asks for the percentage of shots each of the team's players make, which requires collecting data on each player's shots taken and shots made. A and D are not statistical questions because they have specific answers that cannot be analyzed for patterns or trends. A asks for a specific number of points Lisa scored in one game, and D asks for the player who scored the most points in a specific game.

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To find the total area under the standard normal curve between two given z-scores, -1.44 and 1.44, we need to calculate the area to the left of -1.44 and the area to the right of 1.44.

Then, we add these two areas together to obtain the total area. By using a standard normal distribution table or a statistical software, we can determine the corresponding probabilities for the given z-scores and calculate the areas.

To find the area under the standard normal curve to the left of -1.44, we look up the corresponding probability in the standard normal distribution table.

This probability represents the area to the left of -1.44. Similarly, to find the area to the right of 1.44, we find the corresponding probability in the table, which represents the area to the right of 1.44.

Once we have these two probabilities, we add them together to obtain the total area. This total area represents the combined area under the standard normal curve between -1.44 and 1.44.

Using a standard normal distribution table or statistical software, we find the probabilities corresponding to -1.44 and 1.44. Let's denote the probability to the left of -1.44 as P1 and the probability to the right of 1.44 as P2. The total area under the standard normal curve is then given by P1 + P2.

By rounding the answer to four decimal places, we can provide the total area between -1.44 and 1.44 under the standard normal curve.

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To find the total areas under the standard normal curve to the left of -1.44 and to the right of 1.44, we use the standard normal probability table or a calculator's normal distribution function. The areas are found to be approximately 0.0749 each, adding up to 0.1498.

To find the total of the areas under the standard normal curve to the left of z1=-1.44 and to the right of z2=1.44, we can use the standard normal probability table (or Z-table) or a calculator's normal distribution function. First, we find the area to the left of z1=-1.44 by looking up -1.44 in the Z-table or using a calculator, which yields approximately 0.0749.

Similarly, the area to the right of z2=1.44 is found by subtracting the area to the left of 1.44 from 1 because the total area under the curve is 1. Hence, for z=1.44, we get about 0.9251. When we subtract this number from 1, we find that the area to the right is approximately 0.0749. Therefore the total areas under the curve to the left of -1.44 and to the right of 1.44 is 0.0749 + 0.0749 = 0.1498 (rounded to four decimal places).

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Answer:            The lines are perpendicular.

To solve, we can find the slope of each line and compare them to the qualities of parallel and perpendicular lines.

The lines run in the same direction and can never meet. If the lines are parallel, they would have the same slope.

The lines meet at 90°. If the lines are perpendicular, the slopes would be negative reciprocals of each other.

Use the slope formula. Slope is represented by the letter m.

\(\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }\)

On a graph, we write points as (x, y). To use the formula, we need two points on each line. The question already shows what points we can use.

The points are (2, -7) and (6, 5). The variables can be:

x₁ = 2

y₁ = -7

x₂ = 6

y₂ = 5

Substitute into the slope formula and solve for slope.

\(\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }\)

\(\displaystyle{ m=\frac{5--7}{6-2} }\)        Simplify the numerator.

\(\displaystyle{ m=\frac{5+7}{6-2} }\)           Simplify the numerator and denominators.

\(\displaystyle{ m=\frac{12}{4} }\)               Divide.

\(\displaystyle{ m=3 }\)                 Solved for slope of blue line.

The points are (-1, 5) and (8, 2). The variables can be:

x₁ = -1

y₁ = 5

x₂ = 8

y₂ = 2

Substitute into the slope formula and solve for slope.

\(\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }\)

\(\displaystyle{ m=\frac{2-5}{8--1} }\)        Simplify the denominator.

\(\displaystyle{ m=\frac{2-5}{8+1} }\)           Simplify the numerator and denominators.

\(\displaystyle{ m=\frac{-3}{9} }\)              Simplify the fraction.

\(\displaystyle{ m=-\frac{1}{3} }\)              Solved for slope of green line.

The slopes are:

We know the slopes are not the same, so the lines are not parallel.

However, the slopes are negative reciprocals of each other. The fraction is flipped and the negatives are different.

If we multiply the slopes together, we would get –1:

\(\displaystyle{-\frac{1}{3}*\frac{3}{1}=-1}\)

∴ The lines are perpendicular.

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Colin's new mean score, after getting 6 runs on Sunday, is approximately 20.09.

To calculate Colin's mean score, we need to sum up all his scores and divide by the number of scores.

a) Mean score:

16 + 11 + 25 + 27 + 11 + 25 + 20 + 26 + 29 + 35 = 215

Total scores: 10

Mean score = 215 / 10 = 21.5

Colin's mean score is 21.5.

b) To calculate his new mean score after getting 6 runs on Sunday, we need to add the new score to the previous total and divide by the new number of scores.

New total scores = 215 + 6 = 221

New number of scores = 10 + 1 = 11

New mean score = 221 / 11 = 20.09 (rounded to two decimal places)

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The word phrase for h + 6 is Six more h or the sum of six and h.

Converting algebraic expression to word phrase:

An algebraic expression is a mathematical phrase that uses variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

Converting an algebraic expression to a word phrase means expressing the mathematical expression in words.

This can be useful in situations where mathematical symbols may not be understood or when communicating mathematical concepts to someone who may not be familiar with them.

Here we have the expression h + 6

Where 6 is added to h

Hence,

The word phrase for h + 6 is Six more h or the sum of six and h.

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Answer:

-128/147 cm/min

Step-by-step explanation:

\(A=\frac{1}{2}bh \\ \\ 90=\frac{1}{2}(10.5)b \\ \\ b=\frac{120}{7} \\ \\ \\ A=\frac{1}{2} bh \\ \\ \implies \frac{dA}{dt}=\frac{b}{2} \frac{dh}{dt}+\frac{h}{2} \frac{db}{dt} \\ \\ 4=\frac{21}{4}+\frac{db}{dt}+\frac{60}{7} \\ \\ \frac{db}{dt}=-\frac{128}{147}\)

Answer:

(v+8) x (v+9)

We can multiply v into the other two terms in the second bracket, then we can do the same with 8.

(v*v + v*9) + (8*v + 8*9)

v² + 9v + 8v + 72

v² + 17v + 72.

The required answer is  sec θ = -√2.

Explanation:-

Part 1: Given cosine of theta is equal to radical 3 over 2 on the domain [0,[infinity]).

To determine three possible angles θ,  the cosine inverse function which is a cos and since cosine function is positive in the first and second quadrant. Therefore  conclude that, cosine function of θ = radical 3 over 2 implies that θ could be 30 degrees or 330 degrees or 390 degrees. So, θ = {30, 330, 390}.Part 2:To convert 495° to radians, multiply by π/180°.495° * π/180° = 11π/4To find sec θ, we use the reciprocal of the cosine function which is sec.

Therefore, sec θ = 1/cos θ.To find cos 11π/4,  the reference angle, which is 3π/4. Cosine is negative in the third quadrant so the final result is sec θ = -√2.

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Answer:

3.76EE13 is 3.76 * 10^13

Step-by-step explanation:

Here, we are to express what is written on the calculator in scientific notation.

Mathematically, that would be

3.76 * 10^13

The terms EE13 represent 10^13

Answer:

5

Step-by-step explanation:

180-108=72 interior + exterior angle add to 180

360/72=5

Answer:

Number of polygon sides = 360 / (180 - ONE INTERIOR ANGLE)

Number of polygon sides = 360 / (180 -108)

Number of polygon sides = 360 / 72

Number of polygon sides = 5

Source: http://www.1728.org/polygon.htm

Step-by-step explanation:

Using trigonometric ratio, the hypothenuse is 20ft

Trigonometric ratios, also known as trigonometric functions or trig functions, are mathematical functions that relate the angles of a right triangle to the ratios of the sides of the triangle. The most common trigonometric ratios are: sine, cosine and tangent.

In this question given;

We have the angle and the opposite of the angle;

Using the sine ratio;

sin 30 = opposite / hypothenuse

sin 30 = 10 / x

cross multiply both sides and solve for x;

x = 10/sin30

x = 10 / 0.5

x = 20ft

The hypothenuse is 20ft

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1/2 is the factor which converts right angled triangles ΔRPQ to ΔVAQ

Triangle: A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane

Both the triangles are right angled triangles at ΔVAQ and ΔRPQ

side AV=3 units and AQ=4 units

side RP=6 units and PQ=8 units

AV is half of RP and AQ is half of PQ

AV=1/2(RP) and AQ=1/2(PQ)

1/2 factor converts ΔRPQ to ΔVAQ

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Answer:

49/6

Step-by-step explanation:

6x/7-3=4

6x/7=7

6x=49

x=49/6

Answer:

=49/6

Step-by-step explanation:

add 3 to both sides

simpliefy

undo division

simpliefy

divide both sides

Answer: 160 more per week

Step-by-step explanation:

I already answered the earlier one it’s just the second pay minus the first pay just stop asking and refresh

It takes 4 weeks at minimum for each pair to hug at least once if they sit in random order.

Analyzing the Given Information

As per the given information,

Number of people = 8

It is given that they sit in random order every week.

W e assume that the order is not repeated.

There are 4 pairs and since a person hugs both the persons on his immediate left and right.

Determining the Number of Weeks

Total number of people to be hugged by each person = 7

Number of people hugged by a person in one week = 2

So, number of weeks taken by each to huge every other person = 7/2

⇒ It will take (3 +1) for every pair to hug.

It takes 4 weeks at a minimum for every pair to hug if we assume that  their order is not repeated.

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Answer:

Work:

Hence, the solution to the problem is 11/5.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

28 degrees

Step-by-step explanation:

there is a square in the corner which means it is a right angle, 90 degrees.

90-62=28

Answer:

28 deggrees

Step-by-step explanation

Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

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Answer:

x = p(m-n)

Step-by-step explanation:

see attached.

To manufacture a panels that are u = 48 in. wide and 2 in. thick with the profile of the roofing takes the shape of a sine wave with equation y = sin(pi x/12) from flat sheet, the width of the flat sheet would be 49.59in.

Therefore the answer is 49.59

To find the arc length of a continuous function, you need to first define the function and the interval over which you want to find the arc length. Then you can use the following formula:

Arc Length = ∫√(1+(f'(x))^2) dx

Here, f(x) is the function and the interval is [a, b].

The width, w of the flat metal sheet needed to make the panel is the arc length of the sine curve from x = 0 to x = 48in

In this case, f(x) = sin(pi x/12), so the derivative of f(x) is

f'(x) = (pi/12)cos(pi x/12)

Arc Length = ∫√(1+((pi/12)cos(pi x/12))^2) dx from x=0 to x=48

Arc Length ≈ 49.59 in

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The glycerin should be used in preparing 5 gallons of the lotion is 3548.4 g. Thus, option D is correct.

According to the statement

we have given that the a vehicle contains 15% v/v of glycerin. and we have to find that the How much glycerin should be used in preparing 5 gallons of the lotion.

So, For this purpose, we know that the

15% v/v means that there will be 15 ml of glycerin in every 100 ml of lotion.

And The conversion would be :

We know that the

In 1 gallon = 3784 ml

5 gallons x 3784 ml = 18,920 ml

And

18,920 ml x 15 ml glycerin/100 ml = 2838 ml of glycerin

And the

Density of glycerin = 1.26 g/ml

So,

2838 ml x 1.26 g/ml = 3548.4 g glycerin.

So, The glycerin should be used in preparing 5 gallons of the lotion is 3548.4 g. Thus, option D is correct.

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in decimal= 6.25

hope it helped you

The bottom edge of the window is 8 inches above the ground, computed using the Pythagoras Theorem.

According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse, that is, the side opposite to the right angle is equal to the sum of the square of the legs, that is, the two other sides.

If in a right triangle, c is the hypotenuse, and a and b are the two legs, then by the Pythagoras Theorem, we can write:

a² + b² = c².

In the question, we are informed that a building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground.

We are asked to draw a diagram that represents the situation and find the height of the bottom edge of the window from the ground.

We assume the building to be DB, meeting the ground BC at a right angle. At point C, the ladder meets the ground and meets the bottom edge of the window at point A.

The diagram is attached.

Now, we get a right triangle ABC, right-angled at B.

By Pythagoras' Theorem, we know that:

AB² + BC² = AC²,

or, AB² + 6² = 10²,

or, AB² = 10² - 6² sq. inches,

or, AB² = 100 - 36 sq. inches,

or, AB = √64 inches,

or, AB = 8 inches.

Thus, the bottom edge of the window is 8 inches above the ground, computed using the Pythagoras Theorem.

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The provided question is incomplete. The complete question is:

"A building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground. Draw a diagram that represents this situation. How far up from the ground is the bottom edge of the window?"

Answer:

.58 cm^3

Step-by-step explanation:

The formula for finding the volume of a cube is V = a^3 where a is a side length.

If you input the given value into the formula, you get .58 cm^3

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