cori races her friend heading south for 9 kilometers, east for 20 kilometers, then south for 6 more kilometers. how far is cori from where she started?

A is not closed under scalar multiplication.

Since A fails to satisfy all three conditions for a subspace, we conclude that A is not a subspace of P3.

To determine whether A is a subspace of P3, we need to check if A satisfies the three conditions for a subspace:

A contains the zero vector.

A is closed under addition.

A is closed under scalar multiplication.

Let's check each condition one by one:

The zero vector in P3 is the polynomial 0 + 0x + 0x^2 + 0x^3. To see if it belongs to A, we need to check if it satisfies the condition b+c=-1. Since b and c can be any real number, there exists some values of b and c such that b+c=-1. For example, we can choose b=0 and c=-1. Then, a=d=0 to satisfy the condition that 0 + 0x + (-1)x^2 + 0x^3 = -x^2 which is an element of A. Therefore, A contains the zero vector.

To show that A is closed under addition, we need to show that if p(x) and q(x) are two polynomials in A, then their sum p(x) + q(x) is also in A. Let's write out p(x) and q(x) in terms of their coefficients:

p(x) = a1 + b1x + c1x^2 + d1x^3

q(x) = a2 + b2x + c2x^2 + d2x^3

Then, their sum is

p(x) + q(x) = (a1+a2) + (b1+b2)x + (c1+c2)x^2 + (d1+d2)x^3

We need to show that b1+b2 + c1+c2 = -1 for this sum to be in A. Using the fact that p(x) and q(x) are both in A, we know that b1+c1=-1 and b2+c2=-1. Adding these two equations, we get

b1+b2 + c1+c2 = (-1) + (-1) = -2

Therefore, the sum p(x) + q(x) is not in A because it does not satisfy the condition that b+c=-1. Hence, A is not closed under addition.

To show that A is closed under scalar multiplication, we need to show that if p(x) is a polynomial in A and k is any scalar, then the product kp(x) is also in A. Let's write out p(x) in terms of its coefficients:

p(x) = a + bx + cx^2 + dx^3

Then, their product is

kp(x) = ka + kbx + kcx^2 + kdx^3

We need to show that kb+kc=-k for this product to be in A. However, we cannot make such a guarantee since k can be any real number and there is no way to ensure that kb+kc=-k. Therefore, A is not closed under scalar multiplication.

Since A fails to satisfy all three conditions for a subspace, we conclude that A is not a subspace of P3.

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Answer:

$13.59

Step-by-step explanation:

((2 1/2)lbs grapes)*($2.64/lbs grapes) + ((2 3/4)lbs strawberries)*($3.09 lbs strawberries) = total cost before discount.

Total Cost = (2.5)*(2.64) + (2.75)*(3.09)

Total Cost =  15.0975 round to $15.10

10% discount = (1 - 0.10) = 0.90

(0.90)*($15.10) = $13.59

Answer:

Yes

Step-by-step explanation:

they are both equal to 3:4

21:28 can be reduced by 7

21/7=3

28/7=4

and 6:8 can be reduced by 2

6/2=3

8/2=4

Answer:

Answer: $3000

Step-by-step explanation:

Based on the information given, the amount of loan that Molly needs will be the addition of the down payment and the cash allowance and this will be:

= Down payment + Cash allowance

= $2500 + $500

= $3000

Molly needs a loan of $3000

(-1,-2) is the correct-ordered pair for the inverse of f(x).

Function is a combination of different types of variable and constants.

A function is denoted by f(x).

The given function is f(x),

inverse function of f(x) is f⁻¹(x),

y=f⁻¹(x)

⇒x= f(y)

Implies that, values interchange in inverse function,

When x=-2, f(x) = -1

Then for inverse function f(x)=-2, and x=-1.

So (-1,-2) is the correct-ordered pair for the inverse of f(x).

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It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

To find nonzero 2x2 matrices a and b such that ab=0, we need to find matrices a and b whose product is the zero matrix. A matrix multiplication is a combination of dot products between rows and columns of the two matrices. In order for the product of two matrices to be zero, one or both of the matrices must have a row of zeros or a column of zeros.

One way to construct such matrices is to set one of the matrices to have a row of zeros and the other to have a column of zeros. Let a be a matrix with a row of zeros and b be a matrix with a column of zeros, but with a nonzero entry in a different position. For example, we could choose:

a = [0 0; 1 0]

b = [0 1; 0 0]

Then, the product ab is:

ab = [0 0; 1 0] * [0 1; 0 0] = [0 0; 0 0]

So, we have found two nonzero 2x2 matrices a and b such that ab=0.

It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

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Answer:

um I don't understand it pls be more specific and I will help

Answer:

the volume will be (20-2x)(20-2x)(x)

Step-by-step explanation:

assuming its a square

Answer:

\(x = - 0.461\)

Step-by-step explanation:

\(x - \sqrt{2 } + \sqrt{2} = 3 \sqrt{3} - 4 \sqrt{2} \\ x = 3 \sqrt{3} - 4 \sqrt{2} \\ x = - 0.461\)

Answer:

4 21

Step-by-step explanation:

Its probably the answer you are looking for

The answer is: 2.51 standard deviations below the mean. Therefore, the long answer is: Mario's winnings last week equation were 2.51 standard deviations below the mean of his weekly poker winnings, which have a mean of $353 and a standard deviation of $67.

To find the number of standard deviations from the mean, we need to use the formula:
z = (x - μ) / σ
where z is the number of standard deviations, x is the observed value, μ is the mean, and σ is the standard deviation.
In this case, x = 185, μ = 353, and σ = 67. Substituting these values into the formula, we get:
z = (185 - 353) / 67
z = -2.51

This means that Mario's winnings last week were 2.51 standard deviations below the mean.
Your question is: How many standard deviations from the mean is Mario's last week winnings of $185, given a mean of $353 and a standard deviation of $67.
To find the number of standard deviations from the mean, you need to use the following formula:
(Number of standard deviations) = (Value - Mean) / Standard deviation
So, Mario's last week winnings of $185 are 2.51 standard deviations below the mean.

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Answer:

A: (-8,-2)

B: (-8,8)

C: (6,8)

D: (6,-2)

Step-by-step explanation:

First find coordinates of pre image.

Pre image coordinates:

A: (-4,-1)

B: (-4,4)

C: (3,4)

D: (3,-1)

To find the coordinates of a dilated image we simply multiply the x and y values of each coordinate by the scale factor (2)

Dilation being applied

A (-4,-1) ------> (-4*2,-1*2) --------> (-8,-2)

B (-4,4) -------> (-4*2,4*2) --------> (-8,8)

C (3,4) -------> (3*2,4*2) ----------> (6,8)

D (3,-1) -------> (3*2,-1*2) ----------> (6,-2)

So the coordinates of the image after a dilation with a scale factor of 2 are A'(-8,-2), B'(-8,8), C'(6,8) and D'(6,-2)

Answer:

18 inches

Step-by-step explanation:

It would be 18 inches because if 2 inches represent 25 miles and 225 divided by 25 is 9 that would mean 18 inches would be 225 because instead of it being 25*18=225 which it doesn't it would be 12.5*18=225 which is true

Answer: 80 cm^3.

Step-by-step explanation: V = Bh  V = 8 cm ⋅ 10 cm  V = 80 cm^3.

Answer:

x = -4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-15x + 5 = -10x + 25

Step 2: Solve for x

Answer:

quadrant  2   the last  option

Step-by-step explanation:

hope this helps!

Step-by-step explanation:

\(3 \times x\)

\(3x\)

The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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Answer:

9(x + 3)

Step-by-step explanation:

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For trapezoid HJKL, TS are the midpoints of the legs

This means that the length of TS is the average of the lengths of HJ and LK

We need to calculate TS, given HJ=14 and LK=42

The mean or average value is calculated as:

Substituting the values:

The length of TS is 42 units

The measure of angle M is 20°.

To solve the problem, we need to find the measure of angle M, given the information about Circle K with center O, diameter US, angle MRU = 50°, and angle MUT = 30°.

Step 1: Determine the relationship between angles MRU and MUT.
Since MRU and MUT are both inscribed angles in Circle K, they share the same intercepted arc, which is arc MU.

Step 2: Calculate the measure of arc MU.
The measure of an intercepted arc is twice the measure of the inscribed angle. Since angle MRU = 50°, the measure of arc MU will be 2 * 50° = 100°.

Step 3: Find the measure of angle M.
We know that angle MUT = 30°, and the measure of an intercepted arc is twice the measure of the inscribed angle. Therefore, the measure of arc MT = 2 * 30° = 60°. Now, since arc MU = 100°, we can determine the measure of arc MS (arc MS = arc MU - arc MT) which is 100° - 60° = 40°.

Step 4: Calculate the measure of angle M.
Finally, the measure of angle M can be found using the intercepted arc MS. Since the measure of an intercepted arc is twice the measure of the inscribed angle, angle M = 1/2 * arc MS = 1/2 * 40° = 20°.

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Answer:

Let's solve your system by substitution.

x+2y=6;x−y=3

Step: Solvex+2y=6for x:

x+2y=6

x+2y+−2y=6+−2y(Add -2y to both sides)

x=−2y+6

Step: Substitute−2y+6forxinx−y=3:

x−y=3

−2y+6−y=3

−3y+6=3(Simplify both sides of the equation)

−3y+6+−6=3+−6(Add -6 to both sides)

−3y=−3

−3y

−3

=

−3

−3

(Divide both sides by -3)

y=1

Step: Substitute1foryinx=−2y+6:

x=−2y+6

x=(−2)(1)+6

x=4(Simplify both sides of the equation)

Answer:

x=4 and y=1

Step-by-step explanation:

Answer:

x=4 and y=1

Answer:

x = 2

Step-by-step explanation:

\(5x + 3 = 7x - 1 \\ 3 + 1 = 7x - 5x \\ 4 = 2x \\ \frac{4}{2} = x \\ 2 = x \\ x = 2\)

The matrix A is given by the coefficients of the basis B' in the expressions for T(1), T(x), and T(x2) is A = [[0, 5, 0], [0, 0, 5], [0, 0, 0], [0, 0, 0]]

The matrix A for the linear transformation T(p) = 5xp relative to the bases B = {1, x, x2} and B' = {1, x, x2, x3} is given by:

A = [[0, 5, 0], [0, 0, 5], [0, 0, 0], [0, 0, 0]]

To find the matrix A, we need to express the transformation T(p) in terms of the bases B and B'. We can do this by applying the transformation to each element of the basis B and expressing the result in terms of the basis B'.

T(1) = 5x * 1 = 5x = 0 * 1 + 5 * x + 0 * x2 + 0 * x3

T(x) = 5x * x = 5x2 = 0 * 1 + 0 * x + 5 * x2 + 0 * x3

T(x2) = 5x * x2 = 5x3 = 0 * 1 + 0 * x + 0 * x2 + 5 * x3

Therefore, the matrix A is given by the coefficients of the basis B' in the expressions for T(1), T(x), and T(x2):

A = [[0, 5, 0], [0, 0, 5], [0, 0, 0], [0, 0, 0]]

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Answer:

$393.60

Step-by-step explanation:

Answer:

c, 24 by 12 rectangle

Step-by-step explanation:

The coefficient of determination (r-squared) provides an indication of how well the regression model fits the data and the value of r is  0.3574

In this example, the r-squared value is 12.78%, which means that 12.78% of the variation in verbal SAT scores can be explained by the variation in math SAT scores. The least squares regression equation is yhat = 383.3 + 0.3489x, where yhat is the predicted verbal score and x is the math score.

The coefficient of correlation (r) provides a measure of the strength of the linear relationship between two variables. In this example, the coefficient of correlation (r) can be calculated from the coefficient of determination (r-squared) as follows: r = √r-squared = √12.78% = 0.3574. This indicates that there is a weak linear relationship between verbal and math SAT scores.

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In a simple random sample, every member of the population has an equal chance of being selected. This sampling method helps ensure unbiased representation and allows for accurate statistical analysis.

In a simple random sample, every member of the population has an equal chance of being selected. This is one of the key characteristics of a simple random sample. Additionally, in a simple random sample, the population is assumed to be approximately normal with the mean, median, and mode being approximately equal. This assumption allows for easier analysis of the data collected from the sample. It is important to note that the mean of N (the sample size) is not always equal to the standard deviation. However, the mean of the sample can be used as an estimate of the population mean with a certain level of confidence.
In a simple random sample, every member of the population has an equal chance of being selected. This sampling method helps ensure unbiased representation and allows for accurate statistical analysis.

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