A soccer ball was kicked toward the goal. the horizontal component of velocity was 22 m/s and the vertical component was 12 m/s . what is the magnitude of the resultant velocity of the soccer ball?

Answer:

c  =  28

Step-by-step explanation:

Solve for  c  by simplifying both sides of the equation, then isolating the variable.

Answer:

There is not sufficient evidence to support the conclusion that senators are average younger than 60.35

Step-by-step explanation:

Given a simple random sample, the size is 40 senators.

Since the relevant statistic is the sample mean, 60.35 years.

Calculate t as:

*Significance level is 0.05.

Area of 0.05, one-tail yields t=1.685.

Since t=4.82 does not fall in the critical region bounded, we fail to reject the null hypothesis.

There is not sufficient evidence to support the conclusion that senators are average younger than 60.35

The shadow price for the labor time constraint will remain at -6, regardless of whether the right-hand-side decreases to 400 or not. So the answer is: It will remain at -6.

The labor time constraint has a shadow price of -6, which means that for every unit decrease in the right-hand-side (R.H. Side) of this constraint, the optimal objective function value will decrease by $6.

If the right-hand side for this constraint decreases to 400, the allowable decrease in the right-hand side is 300 (i.e., 700 - 400).

The allowable increase on the right-hand side is also 300. Since the constraint has been solved to optimality, any change in the right-hand side within the allowable range will not change the optimal solution.

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The angle of elevation from Phillip to the space shuttle is 1.64°, calculated using the Pythagorean theorem and the square root of both sides.

Given that Phillip is watching a space shuttle launch from an observation spot 66 miles away and the space shuttle is at a height of 1.9 miles. The angle of elevation from Phillip to the space shuttle can be found using the following formula: tan θ = opposite/adjacent Where θ is the angle of elevation, opposite is the height of the shuttle, and adjacent is the distance between the shuttle and the observation spot. Using the Pythagorean theorem, we can find the hypotenuse as follows:hypotenuse² = opposite² + adjacent²Substituting the given values, we get:hypotenuse² = 1.9² + 66²= 3.61 + 4,356= 4,359.61Taking the square root of both sides, we get: hypotenuse ≈ 66.083 miles Substituting the given values in the first formula to find the angle of elevation, we get: tan θ = 1.9/66.083θ

tan⁻¹(1.9/66.083)θ ≈ 1.64°Therefore, the angle of elevation from Phillip to the space shuttle is approximately 1.64°.

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Slope: -2/3

Y intercept: 5

Equation: y = -(2/3)x + 5

Hope this helped :)

Answer:

x < 16

Step-by-step explanation:

∣x−7∣ < 9

x < 9 + 7

x < 16

Answer:

7x < 9

Step-by-step explanation:

because the absolute value of -7 is 7 and 7 + x = 7x.

To be 94% confident that the true mean IQ is within 2 points of the sample mean, you must obtain a sample of at least 199 individuals.

To determine how large a sample must be obtained to be 94% confident that the true mean IQ is within 2 points of the sample mean, we will use the following terms: confidence level, margin of error, and standard deviation. We will also need the z-score corresponding to the desired confidence level.

Step 1: Identify the confidence level, margin of error, and standard deviation
Confidence level: 94%
Margin of error: 2 points
Standard deviation (σ): Since it's not provided, we will use a common value for IQ, which is 15 points.

Step 2: Find the z-score corresponding to the 94% confidence level
A 94% confidence level has a z-score of approximately 1.88 (you can find this value in a z-score table or using a calculator).

Step 3: Use the formula for sample size
n = (z * σ / E\()^2\)
n = (1.88 * 15 / 2\()^2\)
n = (28.2 / 2\()^2\)
n = \((14.1)^2\)
n ≈ 198.81

Step 4: Round appropriately
Since we can't have a fraction of a person in a sample, round up to the nearest whole number. In this case, the sample size should be 199.

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Answer:

B. 10 km. per minute

Step-by-step explanation:

A unit rate is a ratio that is over 1. 10 km. per minute is describing how many km. in one minute. A unit rate can then be used to predict ratios further in a sequence by multiplying the minutes with the 10 km.

Hope that helps!

Answer:

b

Step-by-step explanation:

Answer:

KL = 40.5

Step-by-step explanation:

From the information given in the diagram, P is the centroid of the triangle. Therefore, applying the centroid theorem,

⅔ of KL = LP

LP = 27

Plug in the value of LP

⅔(KL) = 27

Multiply both sides by 3

2(KL) = 3*27

2(KL) = 81

Divide both sides by 2

KL = 81/2

KL = 40.5

The total surface area of the square based prism using the net is 119 square meters

From the question, we have the following parameters that can be used in our computation:

The net of a square based prism

The surface area of the square based prism from the net is calculated as

Surface area = sum of areas of individual shapes that make up the net of the triangular prism

Using the above as a guide, we have the following:

Area = Square + 4 * triangle

So, we have

Area = 7 * 7 + 4 * 1/2 * 5 * 7

Evaluate

Area = 119

Hence, the surface area is 119 square meters

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Answer:

x=7 y=6

Step-by-step explanation:

x =  7      hous worked by Lillian

y  = 6      hours worked by Jacob

Step-by-step explanation:

Let call  " x  "  and  "  y  "  numbers of hours Lillian and Jacob worked respectively, then according to problem statement we have:

They both combined a total of 13 hours, therefore

x  +  y  =  13    ⇒   y  = 13  -  x

And the number of ironed shirts was  295  then we have

25*x  +  20*y  =  295

We need to solve that system of equations for   x     and    y   then

25*x   +  20 * ( 13 - x ) = 295

25*x   +  260  -  20*x   =  295

5*x  =  295  -  260

5*x  =  35

x  = 35/5

x  =  7

And  y  =  13  -  x    ⇒   y  =  13 - 7

y  =  6

The equation of line is y = 30x + 75 , where the slope is m = 30 and the y intercept is 75

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 105 )

Let the second point be Q ( 3 , 165 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 165 - 105 ) / ( 3 - 1 )

Slope m = ( 60 / 2 )

Slope m = 30

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 105 = 30 ( x - 1 )

On simplifying the equation , we get

y - 105 = 30x - 30

Adding 105 on both sides of the equation , we get

y = 30x + 75

Hence , the equation of line is y = 30x + 75

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Answer:

3:30 a.m.

Step-by-step explanation:

LCM of 15 and 18 = 90.

90 minutes after 2 a.m. = 3:30 a.m.

Step-by-step explanation:

the smallest common multiple of 15 and 18 gives us the answer.

the get the smallest common multiple we typically use prime factoring :

15 ÷ 2 no

15 ÷ 3 = 5

5 ÷ 3 no

5 ÷ 5 = 1 finish

18 ÷ 2 = 9

9 ÷ 2 no

9 ÷ 3 = 3

3 ÷ 3 = 1 finish

15 = 3×5

18 = 2×3×3

the smallest common multiple is the combination of the longest streaks per prime factor.

1 time 2, 2 times 3, 1 time 5

2×3×3×5 = 90

so, every 90 minutes they flash together.

that means the next time after 2 am would be

2 am + 90 minutes = 3:30 am

The maximum number of possible different eigenvalues is 2 when

det(A-I×λ)=0.

Given that,

We have to describe the reason why a 2x2 matrix can only have two different eigenvalues.

We know that,

Checking this out with straight calculations

Keep in mind that the eigenvalues of a matrix A are determined by:

det(A-I×λ)=0

Where I is the identity matrix, whose diagonal exclusively contains ones.

As a result, the size of the matrix determines the maximum number of eigenvalues. For instance, a 2x2 matrix corresponds to an identity matrix with just two members on the diagonal.

Therefore, The maximum number of possible different eigenvalues is 2 when det(A-I×λ)=0.

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One way to simplify variables with many levels (or decimal places) when creating a frequency distribution is to organize the data into class intervals (option B).

By grouping the data into intervals, the frequency distribution becomes more manageable and easier to interpret. This process involves dividing the range of values into distinct intervals or categories and then counting the number of observations falling within each interval. Class intervals provide a summary of the data by grouping similar values together, reducing the complexity of individual levels or decimal places.

This simplification technique is particularly useful when dealing with large datasets or continuous variables that have numerous levels or decimal values, allowing for a clearer representation and analysis of the data.

Option B holds true.

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Answer:

You must first divide 3 from both sides.

Step-by-step explanation:

Whenever you solve an equation such as this you are always trying to isolate the variable that is given. In this case we are arriving at the value of d alone.

3d = -81

d = -27

Hope this helps!

Answer:

i believe that 3 needs to be eliminated

Step-by-step explanation:

3d÷3=-81÷3

d=27

hope i helped :D

    Two or more algebraic equations that share variables, such as x and y, are said to be simultaneous equations. Since the equations are solved simultaneously, they are known as simultaneous equations. These equations alone could have an endless number of solutions.

Eq. 1: 20c + 10l = 320

Equation 2: c - l = 10

where x = total hours Caleb puts in y hours of work. Landon has a job

The total number of shirts that Caleb and Landon iron in an hour depends on how many hours each of them works overall.

The total number of shirts they can both iron is equal to the product of the number of shirts Caleb can iron in an hour and the number of hours he worked (shirts that Landon can iron in an hour x number of hours Landon worked)

Eq. 1: 20c + 10l = 320

Equations 1 and 2 must be solved jointly because they are simultaneous equations, and doing so will yield the solution.

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The probability is 0.2137

Explanation:

Given a particular telephone number is used to receive both voice calls and fax messages. Suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls.

The probability that in a sample of 25 incoming calls, exactly 5 of them involve fax messages is calculated as follows;

P(X = 5) = 25C5(0.25)⁵(0.75)²⁰= 53130(0.25)⁵(0.75)²⁰= 0.2137

Therefore, the probability that in a sample of 25 incoming calls, exactly 5 of them involve fax messages is 0.2137.

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Answer: The quadrilateral is not a parallelogram.

Step-by-step explanation:

Slope of any line = (Change in y)/(Change in x)

Slope of LM = (9-6)/(5-(-1)) = 3/6 = 1/2

Slope of LN = (2-6)/(0-(-1)) = -4/1 = -4

Slope of LP = (-2-6)/(-8-(-1)) = -8/-7 = 8/7

Slope of MN = (2-9)/(0-5) = -7/-5 = 7/5

Slope of MP = (-2-9)/(-8-5) = -11/-13 = 11/13

Slope of NP = (-2-2)/(-8-0) = -4/-8 = 1/2

Since slopes of LM and NP are the same, they are parallel lines.

Parallelograms have two sets of parallel lines. However, there only exists one set of parallel lines for this quadrilateral. Thus, this quadrilateral is not a parallelogram.

The estimation of the equation 1/6 + 5/6  is 1 (option C).

For rounding a fraction to the nearest whole number, use the "rounding half up" rule if necessary.

To estimate the solution for the equation 1/6 + 5/6, we can round each fraction to the nearest whole number.

The fraction 1/6 is closer to 0 than it is to 1, so we will round it to 0.

The fraction 5/6 is closer to 1 than it is to 0, so we will round it to 1.

Now we can estimate the solution for the equation as follows:

0 + 1 = 1

Therefore, the estimated solution for the equation 1/6 + 5/6 is 1.

The correct answer is C. 1.

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Answer: 408 sq ft

Step-by-step explanation: You would need to use the surface area formula SA = 1/2LP + B. Note that L is the slant height, P is the perimeter of the base, and B is the area of the base. 11 is the slant height as shown in the image above, p is 48 since you add 12 + 12 + 12 + 12, and the area of the square will be 144 since 12*12 = 144. Once you substitute the numbers in their correct place, you should get SA = 1/2 (11)(48)+144 which gives you 408 sq ft. Hope this helps!

Answer:408    did this right on k12

Step-by-step explanation:

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

Yes they do.

Step-by-step explanation:

You know this because if they show up to the store with the same amount of money and SPLIT the amount of money for the cookies, they will still have the exact same amount.

Answer:

yes

Step-by-step explanation:

i think division property since they split the amount of money

Answer:

hey bbs

Step-by-step explanation:

Answer:

(c) 2

Step-by-step explanation:

2(x - 4) + 7 = 3

2x + 2(-4) + 7 = 3

2x - 8 + 7 = 3

2x - 1 = 3

2x - 1 + 1 = 3 + 1

2x = 4

2x/2 = 4/2

x = 2

Hope this helps!!!

The correct value of x is 2 in the given equation.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is an equation, 2(x – 4) + 7 = 3

Solving for x,

2(x – 4) + 7 = 3

2x-8+7 = 3

2x-1 = 3

2x = 4

x = 2

Hence, the value of x is 2.

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A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

An array is a grouping of identically typed elements that are stored in adjacent memory locations and may each be separately referred to using an index to a special identifier. There is no need to declare five distinct variables when declaring an array of five integer values (each with its own identifier).

The three types of arrays are index, multidimensional and associative array.

my_nums= [5,10,15] is an array that stores multiples of 5.

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A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

What is an array?

An array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is a combination of a set of elements which are all of the same data type, organized in a particular way. Arrays are used to store multiple values in a single variable, structure data, and access data more efficiently. Arrays are generally used to represent data in a structured way, and they can be used to perform various mathematical operations and other calculations. Arrays are also useful for sorting and searching data in a predetermined order.

What are three types of array?
The three types of array are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.

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\(\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=65\pi \end{cases}\implies 65\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3}{4\pi}\cdot 65\pi =r^3 \\\\\\ \cfrac{195}{4}=r^3\implies \sqrt[3]{\cfrac{195}{4}}=r\implies 3.65\approx r\)

Answer:

119 degrees

Step-by-step explanation:

The measure of EAC is 119 because 62 + 57 = 119.

Then, EAC and BAD are vertical angles, so they are equal.

Therefore, BAD = 119 degrees

Answer:

It is the first ONE

Step-by-step explanation:

62+57=119

I hope this helps

Answer:

The charge is negative and the amount is 215

Step-by-step explanation:

Electrons are negative

-354

Protons are positive

+139

-354+139

-215

So

Net charge

Negative charge and the amount is 215