What is a set? Describe the use of brace for listing a set of members

Answer:

steps below

Step-by-step explanation:

sin θ + cos θ / sec θ + cosec θ

= (sin θ + cos θ) / (1/cos θ+1/sin θ)

= (sin θ + cos θ) / ((sin θ + cos θ)/sin θ*cos θ)

= sin θ * cos θ

Step-by-step explanation:

tanx = opposite / adjacent

For two triangles to be similar by side-angle-side (SAS) similarity, they must have two pairs of proportional sides and an included angle that is congruent between them.

How to prove similarity?

Let's consider triangles FGH and JKL. By inspection, we can see that FG is proportional to JK and GH is proportional to KL. Additionally, the included angles ∠FGH and ∠JKL are congruent, which means that we have two pairs of proportional sides and an included congruent angle.

Therefore, we can conclude that triangles FGH and JKL are similar by SAS similarity. This means that the corresponding angles of the two triangles will be congruent, and the corresponding sides will be in proportion to each other.

We can use this similarity to find missing side lengths or angles. For example, if we know the length of FG in triangle FGH and the length of JK in triangle JKL, we can use their proportionality to find the length of GH or KL. Similarly, we can use the congruent angles to find other missing angles in either triangle.

It is important to note that if we were to show that two triangles are similar by SAS, we must show that no other pair of sides or angles are congruent between the two triangles. If there were another pair of congruent sides or angles, we would need to use a different similarity criterion such as angle-angle (AA) or side-side-side (SSS).

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A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

Yes, the large-sample confidence interval will be valid.

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.

A sample is considered large when n ≥ 30.

By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.

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Answer:

im sorry i really need some point for this exam

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

45% of 1500=675

38% of 1500=570

675+570=1245

1500-1245=255

The minimum recommended temperature for the cold temperature run (\#7) is 15 degrees below room temperature.

The cold temperature run, marked as \#7, requires a specific temperature range to ensure optimal performance and safety. The minimum recommended temperature for this run is 15 degrees below room temperature.

Running at temperatures below room temperature allows for a more controlled environment that mimics colder conditions, which can be beneficial for various purposes such as testing equipment, evaluating performance, or assessing durability in colder climates. It helps identify potential issues or limitations that may arise in colder environments.

Setting the minimum recommended temperature at 15 degrees below room temperature provides a sufficient cold environment without excessively low temperatures that could pose risks or potential damage.

This temperature range strikes a balance between achieving the desired cold conditions for testing purposes while ensuring the safety and integrity of the equipment or system being evaluated.

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Answer:

a

Step-by-step explanation:

just did the test

Answer:

Option A

Step-by-step explanation:

I took the test on Edge 2020 Fraction Multiplucation And Division

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

Explanation:

I'll assume that all three points are collinear. In the other words, the assumption is that all points are on the same straight line.

The smaller pieces (TU and UV) add to the largest segment TV

We'll use that fact to set up an equation to solve for x.

TU + UV = TV

(x+8) + (5x+20) = 14x+20

6x+28 = 14x+20

6x-14x = 20-28

-8x = -8

x = -8/(-8)

x = 1

Then we can find each segment length based on this x value.

Then as a check, we see that TU+UV = 9+25 = 34 = TV which confirms we did things correctly.

Using it's formula, it is found that she will have monthly payments of $1,970.45 to pay off the mortgage.

It is given by:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

In which:

In this problem, the parameters are given as follows:

P = 250000, r = 0.0495, n = 15 x 12 = 180.

Hence:

r/12 = 0.0495/12 = 0.004125.

Hence the monthly payments will be of:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

\(A = 250000\frac{0.004125(1 + 0.004125)^{180}}{(1 + 0.004125)^{180} - 1} = 1970.45\)

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Answer: (3,-6)

Step-by-step explanation: Find the answer by finding the negative of the other number.

The value of (\(8^{-1\))"(0) is 8.

(A) To show that f is 1-1, we need to show that if f(a) = f(b) for some a and b, then a = b.

Assume that f(a) = f(b), then we have:

a ln(a) - a = b ln(b) - b

Using the fact that eln(x) = x, we can rewrite this as

(b/a) * (a/b) = (a+b)

Taking the natural logarithm of both sides, we get:

a ln(b/a) + b ln(a/b) = ln(e^(a+b))

Simplifying, we get:

a ln(b/a) + b ln(a/b) = a + b

Substituting u = b/a, we can rewrite this as:

a ln(u) + b ln(1/u) = a + b

Using the fact that ln(1/x) = -ln(x), we can simplify this to:

a ln(u) - b ln(u) = a - b

Simplifying, we get:

(a - b) ln(u) = a - b

Since a and b are both positive, we can divide by a - b to get:

ln(u) = 1

Using the fact that eln(x) = x, we can rewrite this as:

u = e

Therefore, if f(a) = f(b), then b = a e, which shows that f is 1-1.

(B) To find (F)'(0), we need to find the inverse function F1 and then evaluate its derivative at 0.

To find \(F^{-1\), we need to solve for x in the equation F(x) = y, where F(x) = x ln(x) - x.

We have:

y = x ln(x) - x

Rearranging, we get:

y + x = x ln(x)

Using the Lambert W function, we can solve for x to get:

To find (\(F^{-1\))'(0), we need to evaluate the derivative of F^-1 at y = 0:

Using the derivative of the Lambert W function, we have:

W'(z) = W(z) / (z (1 + W(z)))

(C) To find (8)"(0), we need to find the second derivative of the function f(x) = x ln(x) - x evaluated at x = 8-1.

We have:

f(x) = x ln(x) - x

f'(x) = ln(x)

f''(x) = 1/x

Therefore,

(8)"(0) = f''(8) = 1/(8) = 8.

Hence, (\(8^{-1\))"(0) = 8.

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The probability of A or B would be 0.3269. Probability can be used to make predictions and make decisions based on uncertain information in fields such as finance, engineering, and science.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event will not occur and 1 indicating that an event will definitely occur. Events with probabilities closer to 1 are considered more likely to happen, while events with probabilities closer to 0 are considered less likely.

Since A and B are mutually exclusive events, they cannot occur at the same time. Therefore, the probability of A or B is the sum of their individual probabilities.

p(A or B) = p(A) + p(B) = 0.07692 + 0.25 = 0.32692

To four decimal places, the probability of A or B is 0.3269.

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Answer:

total fruits and dips=4+2=6

P(select banana&peanut butter)=banana+peanut /total fruits and d

Step-by-step explanation:

total fruits and dips=4+2=6

P(select banana&peanut)=banana+peanut/total fruits and dips

P(select banana&peanut)=1+1=2/6

=1/3

(a) A chain of quadratic residues modulo 11 can be formed with x = 1, y = 3, and xy = 3, which are all quadratic residues modulo 11.

(b) There is no chain of quadratic residues modulo 7.

(a) To find a chain of quadratic residues modulo 11, we need to find values of x, y, and xy that are all quadratic residues modulo 11. We can try different values and check if they satisfy this condition. One possible chain is x = 1, y = 3, and xy = 3. Squaring each of these values modulo 11, we have 1^2 ≡ 1, 3^2 ≡ 9, and (1 × 3)^2 ≡ 3^2 ≡ 9. Therefore, x = 1, y = 3, and xy = 3 form a chain of quadratic residues modulo 11.

(b) To determine if there is a chain of quadratic residues modulo 7, we need to check if there exist x, y, and xy that are all quadratic residues modulo 7. We can try different values and observe their squares modulo 7. However, in this case, we find that there is no such chain. When we square numbers modulo 7, we have 0^2 ≡ 0, 1^2 ≡ 1, 2^2 ≡ 4, 3^2 ≡ 2, 4^2 ≡ 2, 5^2 ≡ 4, and 6^2 ≡ 1. Since the squares are not all distinct residues, it is not possible to form a chain of quadratic residues modulo 7.

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the answer is (D) 32.2

hopefully it help

Answer: d.) 32.2

Step-by-step explanation:

The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).

Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.

In the given graph, the plane intercepts are:

x-intercept : 1

y-intercept : ∞  (since the planes does not intercept y-axes)

z-intercept = 1/2

Take the reciprocal:

1/1 = 1

1/∞ = 0

1/(1/2) = 2

Hence, the miller indices are (102)

The graph in your question is missing. Most likely it was like on the attached picture.

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The  equation of the tangent to the curve at the point (0, 0) is y = 0, which is just the x-axis.

To find the equation of the tangent to the curve at the point (0, 0), we need to find the derivative of y with respect to x and evaluate it at that point.

First, we can use the chain rule to find dy/dt:

dy/dt = 2t * dt/dt + t^2 * d/dt(sin(t)) = 2t + t^2*cos(t)

Next, we can use the equation x = 5sin(t) to eliminate t and get an expression for dy/dx:

dx/dt = 5cos(t)  ==> dt/dx = 1/(dx/dt) = 1/(5cos(t))

dy/dx = (dy/dt) / (dx/dt) = (2t + t^2*cos(t)) / (5cos(t))

Now we can evaluate this expression at the point (0, 0):

dy/dx = (2*0 + 0^2*cos(0)) / (5cos(0)) = 0/5 = 0

So the slope of the tangent at (0, 0) is 0.

Since the tangent is horizontal, we know that its equation is of the form y = C, where C is a constant. To find C, we can substitute the point (0, 0) into the equation:

y = C
0 = C

So the equation of the tangent to the curve at the point (0, 0) is y = 0, which is just the x-axis.

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Answer: X would be 84 degrees.

Step-by-step explanation: APB is a straight angle, which adds up to 180 degrees. TPQ is  90 degrees, and QPB is 32 degrees, so 180-90-32=58. APT is 58 degrees. APT and PTR are alternate interior angles, therefore they have the same angle measure. So PTR is also 58 degrees. A quadrilateral adds up to 360 degrees, so add up the three known angles in the quadrilateral, 58+90+128, which gives you 276 degrees. 360-276=84 degrees, therefore X would be 84 degrees.

The rose gold bracelets sold by Chantel's fine jewelry store are considered price elastic, as an increase in price resulted in an apparent increase in demand and sales.

Based on the information provided, Chantel raised the price of her rose gold bracelets by $75 to cover unexpected expenses. Surprisingly, she observed an increase in sales at the higher price point. This suggests that the rose gold bracelets are price elastic.

Price elasticity of demand refers to the responsiveness of the quantity demanded to changes in price. When a product is price elastic, an increase in price leads to a proportionately larger decrease in quantity demanded, resulting in a decrease in total revenue. Conversely, a decrease in price would lead to a proportionately larger increase in quantity demanded and total revenue.

This suggests that the demand for these bracelets is relatively elastic, meaning that customers are responsive to changes in price and perceive the higher price as an indicator of increased value, exclusivity, or quality.

Several factors may contribute to this phenomenon. The rose gold bracelets may have unique design elements or craftsmanship that customers are willing to pay a higher price for.

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Answer:

2/3

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Solution:

Given the expression below

Using the GCF factor, the expression becomes

Hence, the answer is 4(m - 5)

Using proportions, it is found that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Joshua has 88 apples in 11 baskets, hence the number of apples per basket is given by:

88/11 = 8.

Mindy can type 40 words per minute, hence in five minutes, the number of words that she types is given by:

40 x 5 = 200.

Jessica had 20 balloons which she distributed among 4 of her friends, hence the number of balloons that each friend got is:

20/4 = 5.

Max can make 1 greeting card in 5 minutes, hence the number of cards that he can make in 30 minutes is:

1 x 30/5 = 6 cards.

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the distance on the

coordinate plane between the

points (-2, 16) and (-2,-5) is 21

With a running time of 4.5 hours and speeds of 24 mph and 30 mph, respectively, the bus covered a one-way distance of 72 miles.

With a running time of 4.5 hours and speeds of 24 mph outgoing and 30 mph inbound, the bus covered a one-way distance of 72 miles.

As the outgoing and inbound timings were equal, the computation was performed by multiplying the outbound trip's speed by the entire running time, and then dividing the result by two. Therefore, 108 miles are equal to 24 mph times 4.5 hours. The one-way distance is equal to 72 miles when you divide this result in half. When both directions' speeds are known, this calculation can be used to determine the overall distance of a round trip.

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The dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units are 150 units x 150 units. This solution yields an area of 22,500 square units.

To find the dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units, we can use the concept of optimization. Let's assume that the rectangle has a length of L and a width of W, with a partition dividing it into two smaller rectangles.
Since all the sides (including the partition) sum to 600 units, we can express this mathematically as:
L + W + 2x = 600
where x represents the length of the partition. Rearranging the equation, we get:
L + W = 600 - 2x
The area of a rectangle is given by the formula A = L x W. To find the largest possible area of the rectangle, we need to maximize this function.
Substituting the above equation into the area formula, we get:
A = (600 - 2x - W) x W
Expanding and simplifying, we get:
A = 600W - 2W^2 - Wx
To find the maximum value of A, we can differentiate it with respect to W and set it equal to zero:
dA/dW = 600 - 4W - x = 0
Solving for W, we get:
W = (600 - x)/4
Substituting this value of W back into the equation for A, we get:
A = (600 - x)^2/16
To maximize A, we need to minimize x. Since x represents the length of the partition, this means that the partition should be as small as possible. Therefore, the largest rectangle that can be formed will be a square with sides of 150 units, and the partition will have a length of zero.
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Answer:

Earnings = 475

Step-by-step explanation:

She gets a straight salary of                                            250

She sold  3000 worth of merchandise            3000

She receives a commission on anything over 1500             Subtract

She gets a commission on                                 1500

15%  of 1500 = 15/100 * 1500                                         225

Earnings                                                                          475