The vectors v and w lie in the coordinate plane such that their initial points are at the origin. Vector v has a magnitude of 2 and direction of 45° North of East. Vector w has a magnitude of 2 and a direction of 45° South of East. What is the magnitude of the vector v+w?

Answer:

what brand

Step-by-step explanation:

Volume of oblique pyramid is 170ft³.

An oblique pyramid is a pyramid in which the apex is not directly above or below the center of the base. It is called "oblique" because it has a slant or tilt to its shape, as opposed to a "right" pyramid where the apex is directly above the center of the base. Oblique pyramids can have different shapes for their bases, such as a square, rectangle, triangle, or any other polygon.

Given

Base area=1/2× 12× 5

height of pyramid=17ft

Volume of oblique pyramid=Base area × height/3

=(1/2× 12× 5 ×17)/3

=170ft³

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Answer:

1,607 plus the amount of people multipled by 1.15

Step-by-step explanation:

2 fog machines = $80

1 sound equipment = $165

1 disco ball = $45

80+165+45+855+462= $1,607

H 48 feet could be the perimeter of Rebecca's garage door.

We know,

Perimeter is the distance around a two-dimensional shape. It is measured in units of length, such as feet or inches.

Rebecca found the length and width of the garage door, which are both measurements of length. Let's say she found that the length was 8 feet and the width was 6 feet.

To find the perimeter, she would add up the lengths of all four sides of the rectangle:

Perimeter = 2(length) + 2(width)

Perimeter = 2(8 feet) + 2(6 feet)

Perimeter = 16 feet + 12 feet

Perimeter = 28 feet

So the perimeter of Rebecca's garage door is 28 feet. None of the answer choices given match this value exactly, but H 48 feet is a possible perimeter if the garage door was much larger than the example given above. However, it is important to note that the term "cubic feet" (answer choice J) does not apply to perimeter, as cubic feet is a unit of volume and not length.

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The coordinates of point H' include the following: H' (0, -1).

In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

By translating the pre-image of this trapezoid vertically downward by 2 units and horizontally right by 3 units, the coordinates of the image include the following:

(x, y)                               →                  (x + 3, y - 2)

E(-1, 4)                        →                  (-1 + 3, 4 - 2) = E' (2, 2).

H (-3, 1)                        →                  (-3 + 3, 1 - 2) = H' (0, -1).

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Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

[tex]5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}[/tex]

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

(a) As a percentage, 105 grams is 1.04% of 10 kilograms.

(b) As a percentage 1 kilometer is approximately 99.21% of 8 meters.

(a) To express the second quantity, 105 grams, as a percentage of the first quantity, 10 kilograms, we first need to convert both quantities to the same unit.

10 kilograms is equal to 10,000 grams (since 1 kilogram = 1000 grams), so:

10,000 grams + 105 grams = 10,105 grams

105 grams / 10,105 grams * 100% = 1.04%

Therefore, 105 grams is 1.04% of 10 kilograms.

(b) To express the second quantity, 1 kilometer, as a percentage of the first quantity, 8 meters, we first need to convert both quantities to the same unit.

1 kilometer is equal to 1000 meters (since 1 kilometer = 1000 meters), so:

8 meters + 1000 meters = 1008 meters

1000 meters / 1008 meters * 100% = 99.21%

Therefore, 1 kilometer is approximately 99.21% of 8 meters.

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Symbol notation

A negative real number is any real number that is less than zero.

A positive real number is any real number that is greater than zero.

Zero is neither positive nor negative.

(a)  The negative of z is not greater than 6

If the negative of z is not greater than 6, then it is less than or equal to 6.

-z ≤ 6.

(b)  The negative of m is not less than -6

If the negative of z is not less than -6, then it is greater than or equal to -6.

-m ≥ -6.

Answer:5,4

Step-by-step explanation:

If over what interval does f(x) = 2x increase faster than g (X): A. 1

To determine over what interval f(x) = 2x increases faster than g(x) = x^2, we need to compare their derivatives. The derivative of f(x) is 2, which is a constant, and the derivative of g(x) is 2x. Therefore, f(x) increases at a constant rate of 2, while g(x) increases at a rate that depends on x.

To find the interval where f(x) increases faster than g(x), we need to find where the derivative of g(x) is less than 2. Setting 2x < 2 and solving for x, we get x < 1.

So, over the interval x < 1, f(x) = 2x increases faster than g(x) = x^2.

Therefore, the answer is A. 1.

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Karla will have approximately $11,149 in the account after 5 years, rounded to the nearest dollar.

The formula accrued amount in a compounded interest is expressed as;

A = P( 1 + r/n )^( n × t )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.2/100

r = 0.022

Plug the given values into the above formula and solve for A.

A = P( 1 + r/n )^( n × t )

A = 10,000( 1 + 0.022/1 )^( 1 × 5 )

A = 10,000( 1 + 0.022 )^( 5 )

A = 10,000( 1.022 )^( 5 )

A = $11,149

Therefore, the accrued amount after 5 years is $11,149.

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Answer:

5 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{4}{1}[/tex] x [tex]\frac{4}{3}[/tex] = [tex]\frac{16}{3}[/tex]

You can re-write [tex]\frac{16}{3}[/tex] as

[tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{1}{3}[/tex]  I wrote it like this because every [tex]\frac{3}{3}[/tex] is equal to 1.

1 + 1 + 1 + 1 + 1 + [tex]\frac{1}{3}[/tex] = 5[tex]\frac{1}{3}[/tex]

Helping in the name of Jesus.

The probability that Ann will get the Donut Shop pod would be = 2/15

The total number of Keurig pods in the green basket = 15

The number of Donut Shop in the basket = 2

Formula for probability;

= possible outcome/sample space

where;

possible outcome = 2

sample space = 15

Probability = 2/15

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The probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is 0.8, or 80% when expressed as a percentage.

To find the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m., we need to calculate the proportion of the total possible time range between 8:00 a.m. and 8:50 a.m. that falls within the specified time interval.

The total time range between 8:00 a.m. and 8:50 a.m. is 50 minutes (8:50 - 8:00 = 50). The time interval between 8:05 a.m. and 8:45 a.m. is 40 minutes (8:45 - 8:05 = 40).

So, the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is:

Probability = (Time interval between 8:05 a.m. and 8:45 a.m.) / (Total time range between 8:00 a.m. and 8:50 a.m.)

Probability = 40 minutes / 50 minutes

Probability = 0.8

Therefore, the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is 0.8, or 80% when expressed as a percentage.

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Answer: 300

Step-by-step explanation:

10*8*6=480-6*6*5=180=300

Answer:

9 : 7

Step-by-step explanation:

4.5 : 3.5 are decimals so we can multiply them both by 2 to get whole numbers. 4.5 doubled is 9 and 3.5 doubles is 7. Therefore the ratio becomes 9:7

The inequalities for the given word problems are:

g) p/q ≤ 6

h) 1/w ≥ 9

Inequality word problems are statements or words used to describe specific inequalities.

g) We are told that the quotient of p and q is at most 6. Thus, it is a maximum of 6. Therefore, we can write the inequality as:

p/q ≤ 6

h) We are told that the reciprocal of w is at least 9. Thus, the inequality is expressed as:

1/w ≥ 9

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Answer: The two lists that are in order from least to greatest are:

C) 0.005, 0.045, 0.102, 0.63

and

E) 7.045, 7.452, 7.599, 7.604

Step-by-step explanation:

To determine which lists are in order from least to greatest, we need to compare the values and arrange them accordingly. Here is the explanation for the two correct answers:

C) 0.005, 0.045, 0.102, 0.63

This list is already in order from least to greatest. Starting from the smallest value of 0.005, each subsequent value increases until we reach the largest value of 0.63.

E) 7.045, 7.452, 7.599, 7.604

This list is also in order from least to greatest. Starting from the smallest value of 7.045, each subsequent value increases until we reach the largest value of 7.604.

For the other options:

A) 117.51, 17.382, 17.38, 17.23 - This list is not in order from least to greatest.

B) 452.8, 45.18, 452.28, 453.71 - This list is not in order from least to greatest.

D) 2.452, 2.749, 2.981, 2.994 - This list is not in order from least to greatest.

Therefore, the two lists that are in order from least to greatest are C (0.005, 0.045, 0.102, 0.63) and E (7.045, 7.452, 7.599, 7.604).

It should be noted that 49.87% of the values fall between 19 and 34 in the original normal distribution.

For the lower bound of 19, the z-score is:

z = (19 - 19) / 5 = 0

For the upper bound of 34, the z-score is:

z = (34 - 19) / 5 = 3

Looking up the area under the curve for a z-score of 3 in a standard normal distribution table, we find it to be 0.9987. Looking up the area under the curve for a z-score of 0, we find it to be 0.5. Therefore, the area under the curve between z-scores of 0 and 3 is:

0.9987 - 0.5 = 0.4987 = 49.87%

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Part A: The maximum velocity occurs at t = 0. We can plug this value into the velocity function to find the maximum velocity:

v_max = 0² = 0

Part B: The time at which the vehicle comes to rest is T = 0.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range.

The first step is to integrate the acceleration function to obtain the velocity function. Then, we can integrate the velocity function to obtain the position function.

Let's assume that the acceleration function is given by:

a(t) = 2t, where t is time in seconds.

Part A:

To find the velocity function, we integrate the acceleration function with respect to time:

v(t) = ∫a(t)dt = ∫2tdt = t² + C

where C is the constant of integration. We can find C by using the initial condition v(0) = 0.

v(0) = C = 0

Therefore, the velocity function is given by:

v(t) = t²

To find the maximum velocity, we can take the derivative of the velocity function and set it equal to zero:

dv/dt = 2t = 0

t = 0

Therefore, the maximum velocity occurs at t = 0. We can plug this value into the velocity function to find the maximum velocity:

v_max = 0² = 0

So, the maximum velocity is 0 m/s.

Part B:

To find the position function, we integrate the velocity function with respect to time:

x(t) = ∫v(t)dt = ∫t²dt = (1/3)t³ + C

where C is the constant of integration. We can find C by using the initial condition x(0) = 0.

x(0) = C = 0

Therefore, the position function is given by:

x(t) = (1/3)t³

To find the total distance traveled, we can find the area under the velocity graph. Since the velocity is always positive, the total distance traveled is the same as the total displacement. Therefore, we can find the displacement by finding the area under the velocity graph from t = 0 to t = T, where T is the time at which the vehicle comes to rest.

v(T) = 0

T² = 0

T = 0

Therefore, the time at which the vehicle comes to rest is T = 0.

The displacement is given by:

x_displacement = ∫v(t)dt from t=0 to t=T = ∫0 dt = 0

Therefore, the total distance traveled is 0 meters.

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The cube's volume can be expressed as V = s³ = x³ since the height of the cube is x and all sides have equal length. The surface area of the cube can be expressed as SA = 6s² = 6x².

b. The sphere's volume can be expressed as V = (4/3)πr³, where r is half the diameter or x/2. Therefore, V = (4/3)π(x/2)³ = (1/6)πx³.

The surface area of the sphere can be expressed as SA = 4πr² = 4π(x/2)² = πx².

c. The ratio of the cube's volume to its surface area can be expressed as V/SA = (x³)/(6x²) = x/6, with the restriction that x > 0.

d. The ratio of the sphere's volume to its surface area can be expressed as V/SA = [(1/6)πx³]/(πx²) = x/6, with the restriction that x > 0.

e. Since the ratios of the volumes to the surface areas of the containers are the same, the efficiency of the packaging will depend only on the amount of material required for each shape. The cube will require less material since it has a smaller surface area, making it the more efficient choice.

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The three statements that are true about the function and its graph are:

The graph of the function is a parabola.

The graph opens downwards, since the coefficient of x² is positive.

The graph contains the point (0, 12), which can be obtained by substituting x=0 in the function.

To check the other statements:

To find f(-10), we substitute x=-10 in the function:

f(-10) = 1/5*(-10)² - 5*(-10) + 12 = 82. So the statement "The value of f(–10) = 82" is true.

To check if the graph contains the point (20,-8), we substitute x=20 in the function:

f(20) = 1/5*(20)² - 5*(20) + 12 = -68. This means the point (20,-8) does not lie on the graph of the function.

To check if the graph contains the point (0,0), we substitute x=0 in the function:

f(0) = 1/5*(0)² - 5*(0) + 12 = 12. This means the point (0,0) does not lie on the graph of the function.

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If prices are rising, I would choose to use the FIFO (first-in, first-out) cost flow assumption. This is because under FIFO, the earliest inventory items purchased are assumed to be sold first, leaving the more recently purchased, and therefore higher-priced, items in inventory. As a result, the cost of goods sold (COGS) will be based on the lower, earlier purchase prices, resulting in higher net income and, therefore, a higher year-end bonus.

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The interest that have been earned after two years is $25.

A type of interest known as compound interest is computed using both the original sum and any accrued interest from earlier periods. The interest that is earned on interest is, in other terms, interest.

We know that by the compound interest formula;

A = P(1 + r/n)^nt

A = amount

P = principal

r = rate

n = Number of times compounded

t = time

Thus;

A = 1100(1 + 0.0114/365)^365* 2

A = $ 1125

Thus the interest after two years is;

$ 1125 - $1100

= $25

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Answer: angle b= 63

Ac= 23.6

Ab=26.4

Step-by-step explanation:

angle b= 63

Ac= 23.6

Ab=26.4

Angle B is 63 degrees, the length of AC is approximately 22.23 units, and the length of AB is approximately 26.42 units.

What is right angle triangle?

A triangle in which one of its angles measures 90 degrees is called a right-angled triangle .

The side opposite the right angle is called the hypotenuse while the other two sides are called the legs or the adjacent and opposite sides.

According to given figure angle C is a right angle, we know that the sum of angles A and B must be 90 degrees.

So, angle B = 90 - angle A = 90 - 27 = 63 degrees.

To find the length of AC, we can use trigonometry. Since we know the length of the opposite side (BC) and the angle opposite the side we want to find (angle A), we can use the tangent function:

tan A = opposite / adjacent

tan 27 = BC / AC

AC = BC / tan 27

AC = 12 / tan 27

AC ≈ 22.23

Now,

[tex]AB^2 = AC^2 + BC^2 \\ AB^2 = 22.23^2 + 12^2 \\ AB^2 ≈ 697.57 \\ AB ≈ 26.42[/tex]

Therefore, Angle B is 63 degrees, the length of AC is approximately 22.23 units, and the length of AB is approximately 26.42 units.

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