Points P and Q are connected to form a ray.

Sarah's final position would be negative. Therefore, option B is the correct answer.

Given that, Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement.

A negative displacement means that Sarah has moved backward along the x-axis, so her final position would be negative.

Therefore, option B is the correct answer.

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Answer:

y = 3x + 3

Step-by-step explanation:

y = 3x + b

3 = 3(0) + b

3 = 0 + b

3 = b

Answer:

You need to solve X first, then answer __x - 10 so example x=7 so 74 - 10 is 64. SO that would be 64 degrees.

The approximate difference in the lengths of the two segments is given as follows:

3.2 units.

The coordinates of the points have the following format:

\((x_1, y_1)\) and \((x_2,y_2)\)

Hence the distance is given as follows:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The length of a segment is given by the distance between it's two endpoints.

Hence the length of segment LF is given as follows:

\(D_{LF} = \sqrt{(3 - (-2))^2+(1 - 3)^2}\)

\(D_{LF} = \sqrt{29}\)

\(D_{LF} = 5.4\)

The length of segment JR is given as follows:

\(D_{JR} = \sqrt{(-3 - (-1))^2+(2 - 1)^2}\)

\(D_{JR} = \sqrt{5}\)

\(D_{JR} = 2.2\)

Hence the distance is of:

5.4 - 2.2 = 3.2 units.

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Answer:

1840

Step-by-step explanation:

4 pellets x 4 = 16 pellets

460 pounds x 4 = 1840 pounds

Answer:

1840 pounds for 16 pellets

Step-by-step explanation:

The complete statement is -1 + -3 is 3 units from -1 in the negative direction

The equation is given as:

-1 + -3

When the above equation is the sum of two negative numbers.

This can be rewritten as:

-1 - 3

This means that the result is -3 units from -1

This in other words mean that the result is 3 units from -3 in the negative direction

Hence, the complete statement is -1 + -3 is 3 units from -1 in the negative direction

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All lines parallel to y=2x-3 will have the same slope as y=2x-3. So how do you find the slope of y=2x-3? Very simple! When written in slope-intercept form you simply look at the coefficient of the ‘x’ term. In this instance the coefficient is 2. Therefore any equation that has a slope of 2 will be parallel to y=2x-3. In general we can say that the family of equations parallel to y=2x-3 is y=2x+b where b is the y-intercept.

                              1000/2000 will be 0.5 :)

\(\\ \sf\longmapsto \dfrac{1000}{2000}\)

\(\\ \sf\longmapsto \dfrac{100}{200}\)

\(\\ \sf\longmapsto \dfrac{10}{20}\)

\(\\ \sf\longmapsto \dfrac{1}{2}\)

\(\\ \sf\longmapsto 0.5\)

Answer:

I believe you just subtract 845.67ml - 243.36 which is equal to 602.31

Step-by-step explanation:

Answer:

Step-by-step explanation:

d. the plant management believes that an increase in ambient temperature of 1 degree fahrenheit is associated with an increase in average monthly steam consumption of 10 thousand pounds. do the data support this statement? explain. (hint: perform a hypothesis test.)

Answer:

Sorry i really need points you can report me but i just want you to knw that I REALLY need points

The value of W to the nearest tenth of degree is 15.8°

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

Sine rule can be used to find unknown side or angle In a triangle.

w/sinW = v/sinV

4.7/sinW = 2.4 / sin8

2.4sinW = 4.7 sin8

2.4sinW = 0.654

sinW = 0.654/2.4

sinW = 0.273

W = sin^-1( 0.273)

W = 15.8° ( nearest tenth)

therefore the value of W is 15.8°

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The margin of error at a 99% confidence level is 8.36.

The margin of error at a 99% confidence level based on a larger sample of 275 observations is 4.14.

a. Yes, the condition that X−X− is normally distributed is satisfied for a sample size of 69 by the central limit theorem.

b. The margin of error at a 99% confidence level can be computed using the formula:

Margin of error = z* (sigma / sqrt(n))

where z* is the z-score corresponding to a 99% confidence level, sigma is the known standard deviation, and n is the sample size.

The z-score for a 99% confidence level is 2.576 (from the z table).

Substituting the given values, we get:

Margin of error = 2.576 * (27.5 / sqrt(69)) = 8.36

c. The margin of error at a 99% confidence level based on a larger sample of 275 observations can be computed using the same formula:

Margin of error = z* (sigma / sqrt(n))

where z* is the z-score corresponding to a 99% confidence level, sigma is the known standard deviation, and n is the sample size.

The z-score for a 99% confidence level is still 2.576 (from the z table).

Substituting the given values, we get:

Margin of error = 2.576 * (27.5 / sqrt(275)) = 4.14

d. The margin of error is inversely proportional to the square root of the sample size. As the sample size increases, the margin of error decreases. Therefore, the margin of error with n = 275 will be smaller than the margin of error with n = 69, leading to a narrower confidence interval.

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Answer:

18/5

Step-by-step explanation:

you have to times then divide

If the population standard deviation were 10 instead of 5,Margin of error would rise as a result. A broader width of the confidence interval and a larger margin of error would be the outcomes of a higher standard deviation.

The margin of error (MOE) for a survey indicates how closely the survey results should be compared to the actual population value. For instance, a poll with a 3% margin of error shows that 72% of respondents prefer Brand A over Brand B.

Given,

If the population standard deviation were 10 instead of 5,

Margin of error would rise as a result. A broader width of the confidence interval and a larger margin of error would be the outcomes of a higher standard deviation. The margin of error diminishes as sample size grows, to be precise. The margin of error rises as population variability does as well. The margin of error grows as the confidence level does.

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Answer: 36

Step-by-step explanation: If you're asking what the expression equals after plugging X's value in, this should leave you with an expression of -3^2 - 5(-3) + 12. By following the order of operations, you should receive an answer of 36.

The numeric values for the combinations of function are given as follows:

The numeric values for the function are obtained applying the operations from the table.

For the addition, we just add the numeric values, hence:

(f + g)(3) = f(3) + g(3) = 8 + 1 = 9.

For the multiplication, we just multiply the values, hence:

(f x g)(-1) = f(-1) x g(-1) = -2 x 4 = -8.

For the composition, the output of the inner function is the input to the outer function, hence:

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Answer:

1. x = 8

2. x = 12

3. x = 11

4. x = 6

Step-by-step explanation:

1.

102 + 102 = 204

360 - 204 = 156

156 / 2 = 78

78 = 10x - 2

78 + 2 = 10x

80 = 10x

80 / 10 = x

x = 8

2.

81 = 7x - 3

81 + 3 = 7x

84 = 7x

84 / 7 = x

x = 12

3.

77 = 6x + 11

77 - 11 = 6x

66 = 6x

66 / 6 = x

x = 11

4.

115 + 115 = 230

360 - 230 = 130

130 / 2 = 65

65 = 8x + 17

65 - 17 = 8x

48 = 8x

48 / 8 = x

x = 6

The range of function for the given domain is found as: (∞ , -∞).

For the stated question-

Given function: y = -x³

When x → -∞, f(x) → ∞

And, when x → ∞, f(x) → -∞

Thus, the range of function for the given domain is found as: (∞ , -∞).

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the derivative f'(x) of the function f(x) = e^(3x)/(3x) is given by:

f'(x) = (9xe^(3x) - 3e^(3x)) / (9x^2)

To find the derivative f'(x) of the function f(x) = e^(3x)/(3x), we will use the quotient rule.

The quotient rule states that if we have a function in the form of g(x)/h(x), then its derivative is given by:

(g'(x)h(x) - g(x)h'(x))/(h(x))^2

Here, g(x) = e^(3x) and h(x) = 3x.

Step 1: Find the derivatives of g(x) and h(x).
g'(x) = d(e^(3x))/dx = 3e^(3x)
h'(x) = d(3x)/dx = 3

Step 2: Apply the quotient rule.
f'(x) = (g'(x)h(x) - g(x)h'(x))/(h(x))^2
f'(x) = (3e^(3x) * 3x - e^(3x) * 3) / (3x)^2

Step 3: Simplify the expression.
f'(x) = (9xe^(3x) - 3e^(3x)) / (9x^2)

So, the derivative f'(x) of the function f(x) = e^(3x)/(3x) is given by:

f'(x) = (9xe^(3x) - 3e^(3x)) / (9x^2)

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To find the row that corresponds to n=10 in Pascal's triangle, we will need to use the formula for calculating the value of each entry in the row. The formula is given by:
C(n, k) = n! / (k! * (n - k)!)

where C(n, k) represents the value of the entry at row n and column k.
Using this formula, we can find the entries for row n=10 as follows:
C(10, 0) = 10! / (0! * 10!) = 1
C(10, 1) = 10! / (1! * 9!) = 10
C(10, 2) = 10! / (2! * 8!) = 45
C(10, 3) = 10! / (3! * 7!) = 120
C(10, 4) = 10! / (4! * 6!) = 210
C(10, 5) = 10! / (5! * 5!) = 252
C(10, 6) = 10! / (6! * 4!) = 210
C(10, 7) = 10! / (7! * 3!) = 120
C(10, 8) = 10! / (8! * 2!) = 45
C(10, 9) = 10! / (9! * 1!) = 10
C(10, 10) = 10! / (10! * 0!) = 1
Therefore, the row that corresponds to n=10 is:
1 10 45 120 210 252 210 120 45 10 1
This row has a similar shape to the previous row, but with larger values in each entry. Pascal's triangle is a fascinating mathematical object with many interesting properties, and it has been studied by mathematicians for centuries.

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Answer:

B

3r + 3/8=1

Step-by-step explanation:

EDGE

Answer:

b

Step-by-step explanation:

(a) There must be both coldest and hottest points on the surface of the soccer ball because the of the temperature function (b). The coldest point on the surface of the soccer ball is (3, 6, 9) and the hottest point is (-3, -6, -9).

(b) There must be both coldest and hottest points on the surface of the soccer ball because the temperature function T(x, y, z) = x + 2y + 3z is a linear function in the variables x, y, and z.

Considering the equation of the sphere x² + y² + z²= 126, which represents the surface of the soccer ball, the temperature function T(x, y, z) is a linear combination of x, y, and z.

Since the coefficients of x, y, and z are all positive (1, 2, and 3 respectively), as we move along the surface of the ball, the temperature will increase or decrease depending on the direction we move in. This means that there will be points on the surface where the temperature is at its maximum (hottest points) and points where the temperature is at its minimum (coldest points).

(c) To find the coldest and hottest points on the surface of the soccer ball, we need to optimize the temperature function T(x, y, z) = x + 2y + 3z subject to the constraint x²+ y²+ z² = 126.

To find the coldest point, we need to minimize T(x, y, z) under the given constraint. This can be done using Lagrange multipliers. Setting up the Lagrangian function:

L(x, y, z, λ) = T(x, y, z) - λ(x² + y² + z²- 126)

Taking partial derivatives and setting them equal to zero:

∂L/∂x = 1 - 2λx = 0

∂L/∂y = 2 - 2λy = 0

∂L/∂z = 3 - 2λz = 0

∂L/∂λ = -(x² + y²+ z² - 126) = 0

Solving these equations, we find:

x = 1/(2λ)

y = 2/(2λ)

z = 3/(2λ)

Substituting these values back into the constraint equation x² + y² + z² = 126, we get:

(1/(2λ))² + (2/(2λ))² + (3/(2λ))² = 126

14/(4λ²) = 126

λ^2 = 1/9

λ = ±1/3

Using λ = 1/3, we find:

x = 3

y = 6

z = 9

Therefore, the coldest point on the surface of the soccer ball is (3, 6, 9).

To find the hottest point, we can use the same process with the opposite sign of λ. Using λ = -1/3, we find:

x = -3

y = -6

z = -9

Therefore, the hottest point on the surface of the soccer ball is (-3, -6, -9).

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Answer:

prime

Step-by-step explanation:

3x^2 + 5x + 1

3x^2  factors in to 3x and x

1 factors into 1 and 1

( 3x   + 1) ( x+1)

We need to verify the middle is 5

3x+1x = 4x

so this is not true

We cannot factor this so it is prime

Answer:

\(\large \boxed{\sf Prime}\)

Step-by-step explanation:

\(3x^2 + 5x + 1\)

We need to find two numbers that add to 5 and multiply to get 1.

There are no real numbers.

The expression cannot be factored. The expression is prime.

It takes the person 40 minutes to travel 10 miles at a rate of 15 miles per hour

We can use the formula:

time = distance / speed

where "distance" is the distance traveled and "speed" is the speed at which the person is traveling.

In this case, the person rode their bike 10 miles south at a speed of 15 miles per hour.

Plugging these values into the formula, we get:

time = 10 miles / 15 miles per hour

Simplifying, we get:

time = 40 minutes

Therefore, it takes them 40 minutes

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Answer:

Post them individually

Step-by-step explanation:

1. B

2. 4th option ,----> Megan's at 2.5 per week

Megan's plant:

slope = 7-4.5/2-1 = 2.5= growth rate

Suzanne's plant:

slope = 7-5/2-1= 2 = growth rage

3.D

4 2nd option , $2 for each song

Rate of change = 6-4/3-2 = 2

Answer:

61

Step-by-step explanation:

(6)^2+5(6)-5

=36+30-5

=61

Answer:

1

Step-by-step explanation:

\(( - 6) {}^{2} + 5 \times - 6 - 5 \\ 36 - 30 - 5 \\ 36 - 35 \\ = 1\)