Given the vector →u=2→i−2→j, find the magnitude and angle in which the vector points (measured counterclockwise from the positive x-axis, 0≤θ<2π)

let 5 % of x is 25

that means

so the answer is x = 500.

and it is an integer.

Answer:

True

Step-by-step explanation:

The point \((0,3)\) lies on the graph.

Answer:

(0, 3)

Step-by-step explanation:

The function is p(x).

p(0) = 3 means at x = 0, p = 3.

The ordered pair is (0, 3)

Answer:

(-1,4)

Step-by-step explanation:

First lets put the two equations into y=mx+b format by subtracting 2x and 4x to the right side of their equations.

y=-2x+2

y=-4x+0

Now you can put this into a system of equations, but you can also plug in the coordinates to see if both equations are equal. I will show system of equations solution.

-2x+2=-4x, solve this by adding -2x to the right side so that the 2 is by itself.

Now you have 2=-2x. Divide by -2 to get the x by itself, now you have x=-1. Plug this back into one of the equations, so y=-4x would be y=-4(-1), so y=4.

Answer:

-1,4

hope that helps you

Answer: 98 yards

Step-by-step explanation:

In order to find the area of a square by the diagonal, all you need to do is square the length of the diagonal and then divide by 2. 7 is half of the length, so the full length is 14. 14 squared is 196. 196 divided by 2 is 98, which is your answer.

Answer:

\(\frac{11}{25}\)

Step-by-step explanation:

In the experiment that was conducted the coin was tossed a total of 75 times and out of those times it only landed on tails 33 times. Therefore the experimental probability of the coin landing on tails can be calculated by the dividing the times it landed on tails by the total number of times it was tossed. Like so...

\(\frac{33}{75}\) or 0.44

This fraction can also be simplified to its simplest form of \(\frac{11}{25}\) which is obtained by dividing both the numerator and denominator by 3

The average rate of change of the function f(x) = x² + 7x + 6 over the interval -4 ≤ x ≤ -1 is -8/3 or about -2.67.

To determine the average rate of change of a function over a specific interval, we use the following formula:

\($$ \frac{f(b) - f(a)}{b - a} $$\)

where a and b are the endpoints of the interval.

In this case, we have the function f(x) = x² + 7x + 6 and the interval -4 ≤ x ≤ -1. To find the average rate of change of the function over this interval, we need to evaluate the function at the endpoints of the interval and substitute these values into the formula.

Therefore:

\($$ \text{Average rate of change} = \frac{f(-1) - f(-4)}{-1 - (-4)} $$\)

We start by evaluating the function at the endpoints of the interval: \($$ f(-1) = (-1)^2+ 7(-1) + 6 = -2 $$\)

\($$ f(-4) = (-4)^2 + 7(-4) + 6 = 6 $$\)

Substituting these values into the formula, we get: \($$ \text{Average rate of change} = \frac{-2 - 6}{-1 - (-4)} = \frac{-8}{3} $$\)

Therefore, the average rate of change of the function f(x) = x² + 7x + 6 over the interval -4 ≤ x ≤ -1 is -8/3 or about -2.67.

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To solve this problem, we need to first draw a diagram of the triangle and rectangle. Let the two legs of the triangle be of length x units. Since the triangle is right isosceles, we know that x^2 + x^2 = 7^2 (by the Pythagorean theorem). Simplifying, we get x = 7/√2 units.

Now let's draw the rectangle inscribed in the triangle such that two opposite corners of the rectangle lie on the hypotenuse of the triangle. Let the length of the rectangle be l and the width be w. We know that the sum of the two legs of the triangle is equal to the hypotenuse (x + x = 7/√2). Therefore, the sum of the dimensions of the rectangle must also be equal to the hypotenuse. So, we have l + w = 7/√2.

We want to maximize the area of the rectangle, which is given by A = lw. Using the equation l + w = 7/√2, we can solve for one of the variables in terms of the other. For example, we can solve for w to get w = 7/√2 - l. Substituting this into the formula for the area, we get A = l(7/√2 - l).

Now we can use calculus to find the maximum value of the area. Taking the derivative of A with respect to l, we get dA/dl = 7/√2 - 2l. Setting this equal to zero and solving for l, we get l = 7/2√2 units. Plugging this value of l back into the formula for the area, we get A = 49/8 square units.

Therefore, the largest area the rectangle can have is 49/8 square units when the length of the rectangle is 7/2√2 units and the width is also 7/2√2 units. This occurs when the rectangle is a square inscribed in the right isosceles triangle.

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Answer:

it's commutative property of addition

Step-by-step explanation:

commutative property is when we can change the position or swap the numbers when adding or multiplying any two numbers.

The standard error with "mean of 7 for some characteristic of interest and a standard deviation of 9.6 and a sample is drawn from this population of size 64" is 1.2.

Standard deviation of the theoretical distribution of a large population of such estimates is equal to the standard error, which is a measure of an estimate's statistical accuracy. The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.

Here,

Sample size=64

Standard deviation= 9.6

Error=Standard deviation/Sample size

=σ/√n

=9.6/√64

=9.6/8

=1.2

The sample is taken from this population of 64 people, with a mean of 7 for some relevant characteristics, a standard deviation of 9.6, and a standard error of 1.2.

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Answer:

$16.50

Step-by-step explanation:

$27.50/5=5.5

5.5*3=16.5

Answer:

What we can do is calculating what one bag cost. If we know that 5 cost 27.50 dollars, to know how much does one cost we only divide:

27.50/5 = 5.50 dollars

Now, we know how much does one bag cost, so we multiply it by three:

5.50 * 3 = 16.50

Now, we know 3 bags cost 16.5 dollars

The type of sampling being used when 5% of the registered voters from each county in a state are drawn at random separately is a stratified sampling.

Stratified sampling is the type of probability sampling that is used when the population being sampled has different groups or strata with varying characteristics. A sample is then drawn from each group to make sure that each stratum or group is represented.The samples can be of equal sizes or can be proportionate to the size of the group. The idea behind stratified sampling is to increase the representativeness of the sample by reducing the variability of the data obtained from the sample.

The advantages of using stratified sampling are that it reduces the variability of the data obtained and ensures that every group or stratum is represented. It also makes it possible to identify any differences between the groups and analyze them independently of the others.In summary, when 5% of the registered voters from each county in a state are drawn at random separately, it is an example of a stratified sampling.

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Answer:

Step-by-step explanation:

translate down by 3 units

When one finds a strong correlation between X and Y, it is possible that:

c. changes in X cause changes in Y.

This is because correlation measures the degree of association between two variables, but it does not necessarily imply causation. However, if there is a strong correlation between X and Y, it is possible that changes in X are causing changes in Y.

It  is important to note that correlation alone cannot prove causation and other factors or variables may still be involved. Options (a) and (b) are not correct because they suggest that changes in Y cause changes in X or that changes in X and Y are due to another variable, which may not be the case. Option (d) is not correct because it includes option (a) and (b), which are not necessarily true in cases of strong correlation.

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Answer:

Yes, it is TRUE

Hope my answer helps you ✌️

Answer:

2/5m - 7/5

Step-by-step explanation:

Combine the like terms (-4/5 and -3/5)

x= (11+b)+5

Hope this helps

Answer:

The number is 222

Step-by-step explanation:

The given parameters are;

The method Ashley models the 3 digit number = A mix of six base-ten blocks

The digits of the 3 digit number are equal

Therefore, given that in a 3 digit number, we have, hundreds, 100s, tens, 10s, and units, 1s, we can find the digits as follows;

Let 'x' represent the number of hundreds digits, let 'y' represent the number of tens digits and let 'z' represent the number of units digits, we have;

x = y = z...(1)

x + y + z = 6...(2)

Substituting the value of x = y, and x = z from equation (1), in equation (2), we get;

x + y + z = x + x + x = 6

∴ 3·x = 6

∴ x = 6/3 = 2

x = 2 = y = z

Therefore, the 3-digit numbers xyz = 222

Answer:

I only know that for table e the bottom under 4 is 6.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

new formula : (5 - 2) ^2

So 5- 2 equals 3. And 3 to the second power is 9

Answer:

( 1, 35 )

Step-by-step explanation:

y=mx+c

c= y-intercept ( where the graph line crosses the cross line)

c=0

mx = gradient ( rise/run, up/across )

mx = 175/5 ( you could have picked any point in the graph )

mx = 35

the m is useless now so we discard it

y= 35x+0

if x = 1

then y = 35(1)+0

y= 35

at the coordinate x=1 y is 35

The points that are solutions to the equation 3x - 4y - 8 = 12 are (4, -2) and (-1, -8).


To determine the solutions to the equation 3x - 4y - 8 = 12, we substitute the given points into the equation and check if the equation holds true.
For point (0, -5):
3(0) - 4(-5) - 8 = -20 ≠ 12, so it is not a solution.
For point (4, -2):
3(4) - 4(-2) - 8 = 12, which satisfies the equation. Therefore, (4, -2) is a solution.
For point (8, 2):3(8) - 4(2) - 8 = 16 ≠ 12, so it is not a solution.
For point (-16, -17):
3(-16) - 4(-17) - 8 = 12, but (-16, -17) does not satisfy the equation. Therefore, it is not a solution.
For point (-1, -8):
3(-1) - 4(-8) - 8 = -15 ≠ 12, so it is not a solution.
For point (-40, -34):
3(-40) - 4(-34) - 8 = 12, but (-40, -34) does not satisfy the equation. Therefore, it is not a solution.
Therefore, the only points that are solutions to the equation 3x - 4y - 8 = 12 are (4, -2) and (-1, -8).

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To calculate the present value of $51,270 payments to be made at the end of each period for 17 periods at a 9% interest rate, we need to find the discounted value of each payment and sum them up.

The present value (PV) is calculated by discounting each future payment back to its current value using the interest rate. The formula to calculate the present value of a series of payments is:

PV = Payment × [1 - (1 + interest rate)^(-number of periods)] / interest rate.

In this case, the payment is $51,270, the interest rate is 9% (or 0.09 as a decimal), and the number of periods is 17.

Using the provided formula and rounding the factor values to 5 decimal places, we can calculate the present value as follows:

PV = $51,270 × [1 - (1 + 0.09)^(-17)] / 0.09.

Evaluating this expression will give us the present value of the payments. It's important to round the final answer to 0 decimal places, as stated in the question.

By substituting the values and calculating the expression, we can determine the present value of the $51,270 payments made over 17 periods at a 9% interest rate.

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Answer:

2(5) nd 28

Step-by-step explanation:

Answer:

2(5) 28 like the top person said

Step-by-step explanation:

Answer:y intercept = 5

Step-by-step explanation:f(x)=5•(1/6)^xThe y intercept is when x =0Let x =0f(0)=5•(1/6)^0      = 5* 1     = 5The y intercept is 5If the question is f(x)=5•(1/6)xalthough I have never seen the question written this wayThe y intercept is when x =0Let x =0f(0)=5•(1/6)0      = 5* 0     = 0The y intercept is 0

Answer: (-2+√5), (-2-√5)

Step-by-step explanation:

1. Reference the formula: [(-b±(√b^2-4ac))/2a]

2. Plug in the values from the equation: [(-4±(√16+4))/2]

3. Simplify: [(-4±(√20))/2]

4. Simplify the root: [(-4±(2√5))/2]

5. Simplify the fraction: [-2±√5]

6. There's your answer: (-2+√5), (-2-√5)

Answer:

p = 8

Step-by-step explanation:

3x2 x 2x4 = px6

6 × 8 = 6p

48 = 6p

p = 48/6

p = 8

hope it helps!

Answer:

solution given:

y=3(19)-5=57-5=52

y=2(19)+14=2×19+14=38+14=52

:.

y=52

Answer:

y = 52

Step-by-step explanation:

Order of operation says we must multiply before you subtract or add.

So 3 * 19 = 57 then subtract 5 you get 52.

Next 2 * 19 = 38  then 38 + 14 = 52