Two sides of a right triangle are 8 and 12 in.​

The description of the transformation of z on the complex plane that gives the product of and is to scale by a factor of 4, then rotate counterclockwise by /6 radians.

To understand this transformation, let's break it down into its components. Scaling by a factor of 4 means multiplying by 4. This scales the magnitude of by a factor of 4 but does not change its direction. Next, rotating counterclockwise by /6 radians means rotating around the origin by an angle of /6 in the counterclockwise direction. By performing these two transformations in succession, we first scale by a factor of 4, which stretches or compresses it depending on whether it is inside or outside the unit circle, respectively. Then, we rotate counterclockwise by /6 radians, which changes its angle in the counterclockwise direction by /6 radians.

The resulting transformation gives the product of and because scaling and rotation are commutative operations when applied to complex numbers. The order in which the transformations are performed does not affect the result. Therefore, scaling by a factor of 4, then rotating it counterclockwise by /6 radians, will yield the same result as scaling by a factor of 4, then rotating it counterclockwise by /6 radians.

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Answer:

13

Step-by-step explanation:

k = 12

A= 3

H = 4

So 12-3+4 is 13

Answer:

13

Step-by-step explanation:

Plug in the numbers for the variables.

12-3+4

Then solve in order.

12- 3 = 9

9+4 = 13.

Answer:

\(4x\left(x^2-3x+1\right)\)

\(Distribute\:parentheses\)

\(\mathrm{Apply\:minus-plus\:rules}\)

\(Simplify\)

Answer: Exponential, and increases by 343 percent.

Step-by-step explanation: Always depends on the number being raised, let's call it B. If B is between 0 and 1, it's a decay, but if B is greater than 1, it is exponential. In this case, B is 7, therefore it's exponential.

Answer: there you go

Step-by-step explanation:

or the other twoo

The number of digits in an addition or subtraction answer is determined by the involvement of the longest number in operation.

This rule is based on the fact that when adding or subtracting numbers, we must align the digits in each place value column before performing the operation. If the numbers have different lengths, we must add leading zeros to the shorter number to align the columns.

This can affect the number of digits in the answer. For instance, when adding a 3-digit number and a 4-digit number, the answer may have 4 or 5 digits, depending on the values in each place value column.

However, as a general rule, the number of digits in the answer will be determined by the length of the longest number involved in the operation.

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False.

The number of vectors in the span of a set of vectors depends on the linear independence of the vectors.

The number of vectors in the span of a set of vectors depends on the linear independence of the vectors. If a set of vectors is linearly independent, then only the zero vector is in the span of the set. If a set of vectors is linearly dependent, then the span of the set contains infinitely many vectors.

So, the number of vectors in span {a1, a2, a3} can be 1, 2, or 3, depending on whether the set {a1, a2, a3} is linearly dependent or independent.

For example, if a1 = (1,0,0), a2 = (0,1,0), and a3 = (0,0,1), then {a1, a2, a3} is a linearly independent set, and the span of {a1, a2, a3} is just the set of all linear combinations of these vectors, which is the entire space R3. So, there are infinitely many vectors in the span of {a1, a2, a3}.

On the other hand, if a1 = (1,0,0), a2 = (2,0,0), and a3 = (0,1,0), then {a1, a2, a3} is a linearly dependent set, since a2 is a scalar multiple of a1. In this case, the span of {a1, a2, a3} is just the set of all linear combinations of a1 and a3, which is a plane in R3. So, there are infinitely many vectors in the span of {a1, a2, a3}.

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The number that was coded is 45.

First, note that if you raise any integer between 1 and 76 to the power 17, the result will be an integer with many digits.

However, since we are reducing the result modulo 77, we only need to consider remainders when dividing this large number by 77.

To compute the remainder when raising a number to a power modulo 77, you can use the repeated squaring algorithm. Here's how it works:

Start with the base number, which is the secret digit you want to code (let's call it x).

Compute \(x^2\) modulo 77.

Compute\((x^2)^2\) modulo 77.

Repeat step 3 a total of 15 times. At this point, you have computed x^16 modulo 77.

Multiply \(x^{16}\) by x modulo 77 to get \(x^{17}\) modulo 77.

Alternatively, you can use a built-in function in most programming languages to compute modular exponentiation.

For example, in Python, you can use the pow() function with three arguments: the base, the exponent, and the modulus. Here's how you can use it:

x = 25  

for i in range(1, 77):

   if pow(i, 17, 77) == x:

       print(i)

       break

This code will print the secret digit that corresponds to the remainder of 25 when raised to the power of 17 and reduced modulo 77, which is 45.

Therefore, the number you coded is 45.

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Constant rates are used to illustrate linear functions.

(a) The average rate of change

This is calculated using:

\(\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}\)

So, we have:

\(\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}\)

\(\mathbf{Rate = \frac{9}{1.0}}\)

\(\mathbf{Rate = 9.0}\)

Hence, the average rate of change is $9.0 per hour

(b) A function that models the table of values

Let x represent hours, and y represent the earnings.

So, we have:

\(\mathbf{y =m (x - x_1) + y_1}\)

Where:

m =Rate = 9.0

So, we have:

\(\mathbf{y = 9(x - 2.5) + 22.5}\)

Expand

\(\mathbf{y = 9x - 22.5 + 22.5}\)

\(\mathbf{y = 9x }\)

Represent as a function

\(\mathbf{f(x) = 9x }\)

Hence, the function that models the table is: \(\mathbf{f(x) = 9x }\)

(c) Amount earned for 7.5 hours

This means that x = 7.5

So, we have:

\(\mathbf{f(7.5) = 9 \times 7.5 }\)

\(\mathbf{f(7.5) = 67.5}\)

Hence, the amount earned in 7.5 hours is $67.5

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Answer: $450 i think. hope this

aking additional principal payments will shorten the length of your mortgage term and allow you to build equity faster. Because your balance is being paid down faster, you'll have fewer total payments to make, in-turn leading to more savings.

and the 2) because your monthly payments are lower on a loan with a longer repayment term, this gives you more wiggle room in your budget. You may need this extra cash to put towards other important goals.

Step-by-step explanation:

Answer:

120 Books

Step-by-step explanation:

60% of 120 is 72

The function must satisfy f(0) = f(10), which is true. By Rolle's theorem, there exists a number c in (0, 10) such that f'(c) = 0. We have found that f'(x) = (x-10)(3x-10), which equals 0 at x = 10/3 and x = 10. But 10/3 is not in [0, 10]. Therefore, the only point guaranteed to exist by Rolle's Theorem is x = 10.

To determine whether Rolle's theorem applies to the given function f(x)=x(x-10)^2 on the given interval [0, 10] and to find the point(s) that are guaranteed to exist by Rolle's theorem. Rolle's Theorem states that if a function f is continuous on a closed interval [a, b] and differentiable on the open interval (a, b) and f(a) = f(b), then there exists a number c in (a, b) such that f'(c) = 0.

Therefore, the function must be continuous on the interval [0, 10] and differentiable on the open interval (0, 10).The function f(x) = x(x-10)^2 is continuous on the interval [0, 10] and differentiable on the open interval (0, 10). Therefore, Rolle's Theorem applies to the given function on the interval [0, 10].Now, we can apply Rolle's Theorem and find the point(s) that are guaranteed to exist by it.

Therefore, f'(x) = 0 at x= 10/3 or x = 10. But, 10/3 is not in the interval [0, 10]. Hence, the only point guaranteed to exist by Rolle's Theorem is x = 10.

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Answer:

B

Step-by-step explanation:

She spends:

$75 rent

$1.25 ingredients for each taco.

Then, she need to earn more than $75+$1.25*15=$93.75

The inequality that represents the situation would be:

Susana should make at least 6 tacos to make some profit.

Answer:

Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (6.5ft)² × 11ft

V = 3.14 × 42.25ft² × 11ft

V = 1459ft³

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

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Answer:

3/11

Step-by-step explanation:

when you multiply 2 fractions you multiply the numerators and the denominators

(7/11 )*(3/7) = 7*3/11*7 now 7 can simplify so we have 3/11

Answer.

together is 0.27272727272  

Step-by-step explanation:

hope it helps if not let me know comment

The area of the given shape is 12.25 cm².

To find the area of the given shape, we can split it into two rectangles and a triangle.

The area of the left rectangle is:

A1 = 2.0 cm * 2.5 cm = 5.0 cm²

The area of the right rectangle is:

A2 = 2.0 cm * 3.0 cm = 6.0 cm²

The area of the triangle is:

A3 = (1/2) * 2.5 cm * (3.0 cm - 2.0 cm) = 1.25 cm²

Therefore, the total area of the shape is:

A = A1 + A2 + A3 = 5.0 cm² + 6.0 cm² + 1.25 cm² = 12.25 cm²

Hence, the area of the shape is 12.25 cm².

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Answer:14

Step-by-step explanation: so if you add 21 and 264 and 20 u would get 14 hehehehhehehe im da best your not :)

Answer:

x = 5

Step-by-step explanation:

9x - 28 = 5x - 8 (because Y and X are equal, and XZ and YZ are equal)

add 8 to both sides

9x - 20 = 5x

subtract 9x from both sides

-20 = -4x

divide 4x from both sides

5 = x

x = 5

Answer:

The answer is 7440

Answer:

$7740

Step-by-step explanation:

60,000×12,4%=$7740

Answer:

4

Step-by-step explanation:

because if it has two Pairs that's 2 on each side of the side of the shape

so, when you have a figure of 2 parallel sides id would be a parallelogram

The general form of the solution is y(x) = ∫ f(x) dx + C If f is continuous for all real numbers dy/dx=f(x) and y(2)=4 then y(x)= 4.

I need to provide concise answers. However, I'll do my best to address your question while incorporating the mentioned terms. Given that f is continuous for all real numbers and dy/dx = f(x), we need to find the function y(x) given the initial condition y(2) = 4.
Since dy/dx = f(x), we can interpret this as a first-order differential equation, where the derivative of y(x) with respect to x is equal to the function f(x). To find y(x), we need to solve this differential equation and apply the initial condition provided.
To do this, we will integrate both sides of the equation with respect to x:
∫ dy = ∫ f(x) dx
y(x) = ∫ f(x) dx + C
where C is the constant of integration. Now, we can use the initial condition y(2) = 4 to determine the value of C:
4 = ∫ f(2) dx + C
Since we don't have an explicit expression for f(x), we cannot determine an exact formula for y(x) or the value of C. However, the general form of the solution to the given problem is:
y(x) = ∫ f(x) dx + C
with the initial condition y(2) = 4. To find the exact solution, we would need more information about the function f(x).

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The critical value for an 80% confidence interval is 1.28.

To find the critical value for constructing an 80% confidence interval for the difference in two proportions, we need to use the z-table.

Step 1: Find the critical value.

Since we want an 80% confidence interval, the remaining area (1 - 0.80 = 0.20) is divided equally into the two tails. Each tail has an area of 0.10. To find the critical value, we look for the z-score that corresponds to an area of 0.10 in the standard normal distribution table.

Using the z-table or a calculator, we find that the z-score for an area of 0.10 (one tail) is approximately 1.28.

Therefore, the critical value for an 80% confidence interval is 1.28.

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Answer:

VA

Step-by-step explanation:

Angle VYA = 180-94-46 = 40 degrees.

Know that the side length opposite the smallest angle has the smallest length.

VY and VA are the two smallest, but 40 < 46, therefore VA is the shortest length.

Short (and not very rigorous) proof:

The law of sines says that sinA/a = sinB/b = sinC/c, where x is the side opposite the angle X

sin46/YV = sin40/VA

sin46 > sin40, therefore YV > VA.

A. statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.

B. the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).

C. Both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.

What is null hypothesis?

In statistics, the null hypothesis (H0) is a statement that assumes that there is no significant difference between two or more groups, samples, or populations.

(a) To test the hypothesis that there is a difference in the population means between breast-fed infants and formula-fed infants, we can use a two-sample t-test with equal variances. The null hypothesis is that the population means are equal, and the alternative hypothesis is that they are not equal. Using α = 0.05 as the significance level, the critical value for a two-tailed test with 40 degrees of freedom is ±2.021.

The test statistic can be calculated as:

t = (x1 - x2) / (Sp * √(1/n1 + 1/n2))

where x1 and x2 are the sample means, Sp is the pooled standard deviation, and n1 and n2 are the sample sizes. The pooled standard deviation can be calculated as:

Sp = √(((n1 - 1) * s1² + (n2 - 1) * s2²) / (n1 + n2 - 2))

where s1 and s2 are the sample standard deviations.

Plugging in the values from the table, we get:

t = (13.3 - 12.4) / (1.776 * √(1/23 + 1/19)) = 2.21

Since the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.

(b) To construct a 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants, we can use the formula:

(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)

where tα/2,Sp is the critical value of the t-distribution with (n1 + n2 - 2) degrees of freedom and α/2 as the significance level.

Plugging in the values from the table, we get:

(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)

= (13.3 - 12.4) ± 2.021 * 1.776 * √(1/23 + 1/19)

= 0.56 ± 0.62

Therefore, the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).

(c) The hypothesis test and the confidence interval both lead to the conclusion that there is a difference in the mean blood hemoglobin levels between breast-fed infants and formula-fed infants. In part (a), we rejected the null hypothesis that the population means are equal, which means we concluded that there is a difference. In part (b), the confidence interval does not contain 0, which means we can reject the null hypothesis that the difference in means is 0 at the 95% confidence level.

Therefore, both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.

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Answer:

Go to desmos and it will answer literally all of your graphing questions. Just type in desmos graphing calculator.

Step-by-step explanation:

Answer:

250 g

Step-by-step explanation:

160 g after two bites

80% after 1 bite

\(\frac{80}{100} =.8\)

160 ÷ .8=200

200 ÷ .8=250

Answer:

250

Step-by-step explanation:

We start with the 100% and if we take 20% from that we get 80% if we take 20% from that we have 64%. This means 160 is 64%. So if we do 160/64*100 we will get the answer!

Answer:

5x+17

Step-by-step explanation:

5 times a number, X, can be represented as 5x. If we want to add 5x and 17, we can say 5x+17.