FAST ANSWER PLEEEAAAAASE Verify that (sinx-cosx)^1=1-2sinxcosx is an identity.

Answer:

=-1.66

Step-by-step explanation:

Answer:

C ($1834.44)

Step-by-step explanation:

Compound interest formula: P = T (1+ r/100)^t

Where

P is the Total amount of money at the end of the time period

T is the money invested at the start

r is the interest rate

and

t is the time by which interest is compounded

Since interest is compounded quarterly,

r is divided by 4 and T is multiplied by 4

therefore,

Total amount = $1800.00( 1 + 1.9÷4/100) ^1×4

= $1834.44

The mean of samples 10, 10, 10, 10, 10, and 16 will be 11.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

In a sample of n = 6, five individuals all have scores of x = 10 and the sixth person has a score of x = 16.

Then the data set will be given below.

10, 10, 10, 10, 10, 16

Then the mean of the data set will be

Mean = (10 + 10 + 10 + 10 + 10 + 16) / 6

Mean = 66/6

Mean = 11

Thus, the mean of the sample will be 11.

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Answer:

the price of each CD before tax is $10.70

Step-by-step explanation:

We can start by using algebra to set up an equation to represent the situation. Let x be the price of each CD before tax.

We know that:

The total price of the CDs before tax is 2x (because he bought 2 CDs that were the same price)

The total price of the CDs including tax is $23.80 (because that's what he paid)

The amount of tax is $2.40 (because that's what is stated in the problem)

So we can set up the equation as:

2x + 2.40 = 23.80

To find the price of each CD before tax, we can subtract the amount of tax from both sides of the equation:

2x = 21.40

And then divide both sides by 2:

x = 10.70

So the price of each CD before tax is $10.70

\(\displaystyle\sum_{n=1}^{8} (3n-1)\implies \sum_{n=1}^{8}3n~~ - ~~\sum_{n=1}^{8}1\implies 3\sum_{n=1}^{8}n~~ - ~~\sum_{n=1}^{8}1 \\\\\\ 3\left( \cfrac{8(8+1)}{2} \right)~~ - ~~(8)(1)\implies 3(36)-8\implies 108-8\implies \text{\LARGE 100}\)

Answer:

associative property of multiplication illustrate2+3)+4=2+(3+4)

Answer:

C, y=2x(x-4)

Step-by-step explanation:

All the other equations can be graphed as lines, but C is the only one that is a parabola (a curve).

In a generative model, we can generate new data by sampling from the learned probability distribution. In other words, a generative model is a type of machine learning model that can generate new data that looks like it came from the training dataset.

The model can learn to approximate the probability distribution of the training data, and then use this approximation to generate new data points that are similar to those in the training set.

A common example of a generative model is the autoencoder, which can learn to reconstruct input data by encoding it into a low-dimensional representation and then decoding it back into the original space.

Another example is the Generative Adversarial Network (GAN), which involves two neural networks: a generator and a discriminator.

The generator tries to create new samples that look like they came from the training set, while the discriminator tries to distinguish between real and fake samples.

Through this adversarial process, the generator can learn to produce more realistic data samples over time.

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Answer:

8p

Step-by-step explanation:

Multiply 8 and p.

Answer:

an i oop

Step-by-step explanation:

Answer:

So if there are 60 clownfish and the ratio from clownfish to angelfish is 5:4, this is the equation you are looking at:

5:4 = 60:?

To find ? you have to do 60 divided by 5 which equals 12 and multiply it times 4 to see how many angelfish there will be if there are 60 clownfish.

12 x 4 = 48

So if there are 60 clownfish there will be 48 angelfish. The ratio is 60:48

For the next one, same thing if there are 48 angelfish, then you are looking at this equation:

4:3 = 48:?

Again, we solve like we did the last one.

48 divided by 4= 12

3 x 12= 36

So, if there are 48 angelfish there will be 36 goldfish. The ratio is 48:36

I hope this helps:)

Step-by-step explanation:

Answer:

the answer is b

Steve runs \(\frac{3}{8}$\) of a mile each day.

For instance, traveling at 60 mph equates to traveling 60 miles per hour. There are an hour in 60 minutes, so partition the miles by that sum, and presto! One mile can be covered in one minute.

Victor runs \(\frac{1}{2}$\) of a mile each day.

Steve runs \(\frac{3}{4}$\) of the distance that Victor runs, which is \(\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$\) of a mile.

Therefore, Steve runs \(\frac{3}{8}$\) of a mile each day.

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Answer:

D.

Step-by-step explanation:

length times width  times height

The Relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.

The relationship between the points D(6, 9) and A(8, 12) can be described in terms of dilations. In mathematics, a dilation is a transformation that changes the size of an object while keeping its shape intact. It involves scaling the object by a certain factor, either enlarging or reducing it.

To understand the relationship between D and A, we can calculate the dilation factor. The dilation factor, denoted by 'k', is the ratio of the corresponding side lengths or distances between the pre-image (original object) and the image (transformed object).

The dilation factor between D(6, 9) and A(8, 12):

First, we need to find the change in x-coordinates and y-coordinates:

Δx = 8 - 6 = 2

Δy = 12 - 9 = 3

Next, we calculate the dilation factor:

k = Δy / Δx = 3 / 2 = 1.5

The dilation factor of 1.5 indicates that the image point A is 1.5 times as far from the origin (point D) compared to the pre-image. This means that A is located at a greater distance from the origin than D, both horizontally and vertically.

Moreover, since the dilation factor is positive, the dilation is an enlargement. This means that A is enlarged with respect to D. The ratio of the corresponding side lengths will also be 1.5.

the relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.

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The domain of the following function: R: [(3,5), (8,6), (2,1), (8,6) is D. [2,3,8]

A function in mathematics is a relationship between two sets of values known as the domain and the range that allots a different element of the range to each element of the domain. A function, then, is a rule that links each input value (also known as an independent variable) to a corresponding output value (also called dependent variable).

Typically, the x-variable represents the input values while the y-variable represents the output values. A function is represented by the notation f(x), where x is the input variable and f is the name of the function. The domain of a function is the set of all possible input values.

Thus,

x-coordinates are: 3, 8, and 2.

Therefore, the domain of the function is D. [2,3,8]

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(x - 1) is thus a factor of f(x) = x3 - 2x2 - 5x + 6.

The factorization of x^3 2x^2 5x 6 is (x^2)(2x)(3) . This can be found by dividing x^3 2x^2 5x 6 by its prime factors.

You can also factor out x^2 from the expression x^3 2x^2 5x 6, which would leave you with x^2(x 2.5 6) or x^2(x 2.5 3)

Given that x3 - 2x2 - 5x + 6 = f(x),

We must determine the factored form of f in its entirety (x).

Consider (x - 1) as a factor (x).

Let's see if (x - 1) is a factor of f. (x).

f(1) = (1) (1)

3 - 2(1) (1)

2 - 5(1) + 6

= 1 - 2 - 5 + 6

= 6 - 6

= 0

f(1) = 0

(x - 1) is thus a factor of f(x) = x3 - 2x2 - 5x + 6.

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Answer:

x = 79

y = 12

Step-by-step explanation:

x + y = 91

x - y = 67

=> x = (91 + 67) : 2 = 79

=> y = (91 - 67) : 2 = 12

P/s: I don't know how to explain what I just did actually, since we learn how to solve this kind of problem in primary at my place already so it's like a blurry memory about how I learn it. If the math problem is to find 2 numbers, knowing their sum and the difference already, this is how to solve it:

=> Larger number: (Sum + difference) : 2

=> Smaller number: (Sum - difference) : 2

If you can memorize it, good for you! If not then it's alright, this is just a nice tips from me to you. You'll have more advantages in solving these kind of math problem if you can memorized these 2 formulas.

The trench descends to a depth of -24,997 feet below sea level, representing its remarkable depth below the surface.

The trench reaches a staggering depth of 24,997 feet below sea level, making it the deepest point in the area.

With elevations below sea level indicated by negative numbers, this particular trench plunges deep into the ocean floor.

Its immense depth is a testament to the remarkable geological features that exist beneath the surface of our planet.

The negative elevation signifies the significant extent to which this trench descends below the average sea level, providing an awe-inspiring example of the Earth's dynamic and diverse topography.

This extreme depth underscores the mysterious and captivating nature of our planet's oceans and their hidden wonders.

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By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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For the given angle of 69°, its complement is calculated as 90° - 69° = 21°.

An angle's complement is the angle that, when combined with the given angle, adds up to 90°. In this case, the given angle is 69°, so its complement is 90° - 69° = 21°.

To answer this question, we need to understand the definition of an angle's complement. An angle's complement is the angle that, when added to the given angle, forms a right angle. A right angle is an angle that measures 90°.

Using this definition, we can answer the question. The given angle is 69°, so its complement is 90° - 69° = 21°.

We can visualize this by thinking of a triangle and labeling the angles. Let's say we label the given angle as angle A, and its complement as angle B.

Since angle A + angle B = 90°, and angle A is 69°, angle B must be 21°. Therefore, the measure of the given angle's complement is 21°.

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The rule for the nth term of the sequence 2, 0, -2, -4,... is option (c) a = -2(n+1).To verify, we can use the formula for the nth term of an arithmetic sequence, which is:

a_n = a_1 + (n-1)d

where a_n is the nth term, a_1 is the first term, n is the number of terms, and d is the common difference between consecutive terms.

In this sequence, the first term a_1 is 2, and the common difference d is -2 (each term is 2 less than the previous one).

Substituting these values into the formula, we get:

a_n = 2 + (n-1)(-2)

Simplifying, we get:

a_n = -2n

However, this gives us the sequence -2, -4, -6, -8,..., which is not the same as the given sequence. To get the given sequence, we need to shift the indices by 1 (i.e., subtract 1 from n), so that the first term corresponds to n=1. This gives us:

a_n = -2(n+1)

which is the same as option (c).

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The purpose of the ninth was to assert the principle that the enumerated rights are not exhaustive and final and that the listing of certain rights does not deny the existence of other rights.

The Ninth Amendment was part of the Bill of Rights added to the Constitution on December 15, 1791. It states that all rights not enshrined in the Constitution belong to the people, not to the US government. In other words, the rights of citizens are not limited to those stipulated in the Constitution. Simply put, the Ninth Amendment declares that the enumeration of certain rights in the Constitution should not be construed as withholding or disrespecting others from people. According to Judge Harry A. Blackman, Roe v. Wade (1973),

, "As we believe, this right to privacy is limited by the Fourteenth Amendment concept of restrictions on individual liberty and government action. The Ninth Amendment to the Constitution contains ample scope, including determining whether a woman should terminate a pregnancy."

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Answer:

24

Step-by-step explanation:

k = t - 5k

→ Substitute in k

4 = t - 20

→ Add 20 to both sides

24 = t

Hello!

This is a problem about relating values of the Unit Circle.

First, we need to figure out the specific "points" of each angle measure of 30 and 60.

For the angle measure 30, the point will be \((\frac{\sqrt{3}}{2},\frac{1}{2})\).

For the angle measure 60, the point will be \((\frac{1}{2},\frac{\sqrt{3}}{2})\).

The tangent value of a point will be its \(y\) value over its \(x\) value.

\(\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}\)

The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.

\(\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}\)

The sine value of a point will be the \(y\) value of the point.

\(\frac{\sqrt{3}}{2}\)

So the values we have so far are \(\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}\)

Now we have to find the LCD to add these together, which in this case would be 6.

\(\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}\)

Which adds up to \(\frac{11\sqrt{3}}{6}\), which is in simplest radical form.

Hope this helps!

Answer:

Numerical.

Step-by-step explanation:

A number sentence is a statement of equality between two numerical expressions!

Hope this helps!

Answer:

Step-by-step explanation:

f(2) = -2^2 + 2 + 14 = -4 + 2 + 14 = 12

Answer:

f(2) = 20

Step-by-step explanation:

f(x) = -x^2 + x + 14

f(2) = (2)^2 + (2) + 14

f(2) = 4 + 2 + 14

f(2) = 20

Answer:

x = - 3 , x = 4

Step-by-step explanation:

to find the zeros let f(x) = 0 , that is

(2x + 6)(x - 4) = 0

equate each factor to zero and solve for x

2x + 6 = 0 ( subtract 6 from both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

x - 4 = 0 ( add 4 to both sides )

x = 4

the zeros are x = - 3 , x = 4

Answer:

1.25 Kilometers in 1 meter

Step-by-step explanation:

7.5/6

first you divide 7.5 by 6:1.25

is your answer

In the given word problem, Mr. Garcia total paid $259.75 for his journey.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, Mr. Garcia rents a car at a rate of $29.95 per day. There is an additional mileage charge of $20.00 per 100 miles or fractions of 100, and Mr. Garcia drives 550 miles in 5 days,

Since, cost of 100 mile = $20

Therefore, cost for 1 mile = $0.2

Since, Mr. Garcia travelled for 550 miles,

Therefore, cost of 550 miles = $0.2 × 550 = $110

Since, cost for one day = $29.95

Therefore, cost for 5 days = $29.95 × 5 = $149.75

Now,

Mr. Garcia used the car for 5 days and travelled for 550,

Therefore, total cost he paid = $110 + $149.75

= $259.75

Hence, Mr. Garcia total paid $259.75 for his journey.

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