K=½ mv^2
solve for k

Also tell me how you got it!

Answer:

676000

Step-by-step explanation:

3 digits of the 5-digit code are number 0-9 which is 10 numbers that could go into that spot, after the three digits there are two letters and because there are 26 letters in the alphabet you would multiply 10*10*10*26*26 which equals 676000

There are more than one equivalent fraction, like 1/4. They are 2/8, 4/16, 8/32, and 10/40.

A fraction in mathematics is a number that is stated as a percentage, such as 1/2 or 2/3. The number on top denotes the component of the unit under consideration, while the number at the bottom indicates the total number of parts that make up one unit.

Equivalent fractions are two or more fractions that, although having various numerators and denominators, are all the same.

Even though the numerators and denominators of these fractions are different, they all have the same value.

Therefore, the equivalent fractions are 2/8, 4/16, 8/32, and 10/40.

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Answer:

Bill received 13.68 change back.

Step-by-step explanation:

20-6.32=13.68

Answer:

Mike received $1.97 in change.

Step-by-step explanation:

$6.32+$11.71=$18.03

so then you take away 18.03 from 20 like this:

$20.00-$18.03=$1.97

Answer:

Total number of trials =150

Chances or trials which favour the outcome H= 85

P(H)= 15085 = 0.567 (approx)

\(\large\boxed{\fcolorbox{red}{aqua}{Radius~of~semi~circle~=~10cm}}\)

\(\large\underline\mathrm\purple{Diameter~is~20cm}\)

4a + 3 = 40

---Subtract 3 from both sides

4a = 37

---Divide both sides by 4

a = 37/4 = 9 1/4 = 9.25

Hope this helps!! :)

Answer:a= 9 1/4 as a mixed number

Improper: 37/4

Move all terms that don't contain a to the right side and solve.

a. At point (2, 2, 1) the vector \(\bar{C} = - 2\bar{a}y+4\bar{a}z\)

b. At (2, 2, 1) the value of D = 23

Given that,

For \(\bar{A}=x \bar{a} x+y \bar{a} y+z \bar{a} z \)\) and \(\( \bar{B}=2 x \bar{a} x+3 y \bar{a} y+3 z \bar{a} z \)\).

Here, A and B are vectors

We know that,

a. At (2, 2, 1) we have to find \(\bar{C}=\bar{A} \times \bar{B}\).

C is a vector by using matrix,

\(\bar{C}=\left[\begin{array}{ccc}\bar{a}x&\bar{a}y&\bar{a}z\\x&y&z\\2x&3y&3z\end{array}\right]\)

Now, determine the matrix,

\(\bar{C} = \bar{a}x(3yz - 3yz) - \bar{a}y(3xz - 2xz)+\bar{a}z(3xy - 3xy)\)

\(\bar{C} = - \bar{a}y(xz)+\bar{a}z(xy)\)

At point (2,2,1) taking x = 2 , y = 2 and z = 1

\(\bar{C} = - \bar{a}y(2\times 1)+\bar{a}z(2\times 2)\)

\(\bar{C} = - 2\bar{a}y+4\bar{a}z\)

b. At (2, 2, 1) we have to find \(D=\bar{A} .\bar{B}\)

\(D=\bar{A} .\bar{B}\)

\(D = (x \bar{a} x+y \bar{a} y+z \bar{a} z )(2 x \bar{a} x+3 y \bar{a} y+3 z \bar{a} z)\)

D = 2x² + 3y² + 3z²

At point (2,2,1) taking x = 2 , y = 2 and z = 1

D = 2(2)² + 3(2)² + 3(1)²

D = 23.

Therefore, At (2, 2, 1) D = 23

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The question is incomplete the complete question is -

For \(\bar{A}=x \bar{a} x+y \bar{a} y+z \bar{a} z \)\) and \(\( \bar{B}=2 x \bar{a} x+3 y \bar{a} y+3 z \bar{a} z \)\).

Find the following at (2,2,1)

a. \(\bar{C}=\bar{A} \times \bar{B}\)

b. \(D=\bar{A} .\bar{B}\)

The equation of the line that passes through the points (4, 4) and (-1, 4) is y = 4, which represents a horizontal line passing through y = 4.

What is Equation ?

In mathematics, an equation is a statement that asserts the equality of two mathematical expressions. It consists of two sides, the left-hand side and the right-hand side, separated by an equal sign (=). The expressions on both sides of the equal sign can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation.

To find the equation of a line that passes through two given points, we need to use the point-slope form of the equation, which is:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of one of the points and m is the slope of the line.

First, we can find the slope of the line using the two points:

m = (y2 - y1) :  (x2 - x1) = (4 - 4) : (-1 - 4) = 0

Since the slope is 0, the line is a horizontal line and its equation is simply:

y - y1 = 0

We can choose either point to be (x1, y1) and substitute its coordinates into the equation. Let's use (4, 4):

y - 4 = 0

Simplifying, we get:

y = 4

Therefore, the equation of the line that passes through the points (4, 4) and (-1, 4) is y = 4, which represents a horizontal line passing through y = 4.

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Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I think

An instrument that consistently produces similar results regardless of the administrator is considered to have a high level of reliability.

Reliability refers to the consistency and stability of measurements obtained from a particular instrument or test. When an instrument consistently yields similar results each time it is used, irrespective of who administers it, it is said to be high in reliability. In other words, the reliability of an instrument is determined by the degree to which it produces consistent outcomes.

A reliable instrument ensures that the results obtained are not significantly influenced by factors such as human error, variability in administration techniques, or subjective interpretation. It demonstrates that the instrument is able to measure the intended construct consistently, making it a valuable tool in research, assessment, and evaluation. High reliability is crucial in fields such as psychology, education, and healthcare, where precise and consistent measurements are essential for making valid inferences and informed decisions.

To establish the reliability of an instrument, various statistical methods such as test-retest reliability, inter-rater reliability, or internal consistency reliability can be employed. These methods examine the consistency of measurements over time, across different administrators, or within different items of the instrument. By demonstrating high reliability, an instrument enhances the trustworthiness and credibility of the data it generates, allowing researchers, practitioners, and policymakers to rely on its consistent results for making sound decisions and drawing accurate conclusions.

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Answer; present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

The present value of $12,200 to be received 4 years from today can be calculated using the formula for present value. The formula is:

Present Value = Future Value / (1 + Discount Rate)^n

Where:
- Future Value is the amount to be received in the future ($12,200 in this case)
- Discount Rate is the interest rate used to discount future cash flows (5 percent in this case)
- n is the number of periods (4 years in this case)

Plugging in the given values into the formula:

Present Value = $12,200 / (1 + 0.05)^4

Calculating the exponent first:

(1 + 0.05)^4 = 1.05^4 = 1.21550625

Dividing the future value by the calculated exponent:

Present Value = $12,200 / 1.21550625

Calculating the present value:

Present Value = $10,027.51

Therefore, the present value of $12,200 to be received 4 years from today, with a discount rate of 5 percent, is $10,027.51.

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The ratio of Mary's share to Katherine's share to Alex's share is 5:4:1, which means Mary pays 5/10 of the bill, Katherine pays 4/10 of the bill, and Alex pays 1/10 of the bill.

To find the ratio, we can write their contribution as a fraction of the total parts and then solve the fractions then they'll have the same denominator.

So, Mary's share is 5/10, Katherine's share is 4/10, and Alex's share is 1/10.

To convert this as a ratio, we write 5:4:1, where each number represents the number of parts each person pays, and the colon separates each person's contribution.

Therefore, the ratio of Mary's share to Katherine's share to Alex's share is 5:4:1

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The triangle has sides of 12, 36, and 37 and is not a right triangle.

What are Pythagoras's triples of the right triangle?

Pythagorean triples are defined as a² + b² = c², where a, b, and c are positive integers. These triples are denoted as (a,b,c). The perpendicular is a the base is b, and the hypotenuse is c of a right-angled triangle.

We have,

a triangle has sides of 12, 36, 37

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written (a, b, c), and a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k.

(12)² + (36)² = (37)²

1440 = 1369

S0, LHS ≠ RHS

Hence, the triangle has sides of 12, 36, and 37 is not a right triangle.

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Answer:

B

Step-by-step explanation:

Newton's third law states that for every force in nature there is an equal and opposite reaction.

Answer:

32

Step-by-step explanation:

25% is the same as 1/4

8 times 4 is 32 so 8 is 25% of 32

Answer:

25% would be 8

50% would be 16

75% would be 24

100% would be 32

A rate is a constant value that relates two proportional variables, like miles and gallons, pounds and days, etc.

In the case of units rates, the second variable has a value of one unit.

Some examples are:

• 100 cars pass by in 2 hours. The unit rate is 100/2=50 cars per hour.

• You can paint 3 boards in half an hour. The unit rate is 3/0.5=6 boards per hour.

• 200 sausages were eaten by 50 people. The unit rate is 200/50=4 sausages per person.

For any 2 variables, we can write 2 ratios, being one the inverse of the other.

For example, for the graph of miles and gallons, we can see that 1 gallon corresponds to 30 miles.

We then can write a ratio as:

This is a unit rate, as the second variable (gallons) have a value of 1 unit.

We can also write a second ratio as:

This second ratio is the inverse of the first one.

Answer:

The amount of deposit required is R37,999  for both

The percentage of purchase price for the required deposit is 20%

Therefore, deposit required=20%*R189,995

                                              =R37,999

The balance owed is the outstanding balance after payment of deposit plus the interest, bearing in mind that interest is computed using the simple interest approach

I=PRT

balance after payment of deposit=R189,995-R37,999

                                                       =R151,996

R=13.5% per year

T=48 months and 54 months

Interest on 48 month option=151,996*13.5%*48/12

                                              = R82,077.84

Interest on 54 month option=151,996*13.5%*54/12

                                              = R 92,337.57

The total payment without the initial deposit is the outstanding balance after payment of deposit plus the interest

Total payment for 48 month option=R151,996+R 92,337.57

                                                          =R  244,333.57

Total payment for 54 month option=R151,996+R82,077.84

                                                          =R 234,073.84

                                              Hope it helped!

Step-by-step explanation:  

#1 Surface area of the rectangular box:

The formula for the surface area of a rectangular box is given by:

SA= 2lw + 2lh + 2wh, where

In this rectangular box, the length is 5 cm, the width is 7 cm, and the height is 2 cm.  

Thus, we can plug in 5 for l, 7 for w, and 2 for h in the rectangular box formula to find SA, the surface area of the rectangular box in square cm:

SA = 2(5 * 7) + 2(5 * 2) + 2(7 * 2)

SA= 2(35) + 2(10) + 2(14)

SA = 70 + 20 + 28

SA = 118

Thus, the surface area of the rectangular box is 118 cm^2.

#1 Volume of the rectangular box:

The formula for the volume of a rectangular box is given by:

V = lwh, where

Thus, we can plug in 5 for l, 7 for w, and 2 for h in the rectangular box formula to find V, the volume of the rectangular box in cubic units:

V = 5 * 7 * 2

V = 70

Thus, the volume of the rectangular box is 70 cm^3.

#2 Surface area of the cube:

The formula for the surface area of a cube is given by:

SA = 6s^2, where

Thus, we can plug in 4.5 for s in the surface area formula to find SA, the surface area of the cube in square in.:

SA = 6(4.5)^2

SA = 6(20.25)

SA = 121.5

Thus, the surface area of the cube is 121.5 in^2.

#2 Volume of the cube:

The formula for the volume of a cube is given by:

V = s^3, where

Thus, we can plug in 4.5 for s in the volume formula to find V, the volume of the cube in square in.:

V = 4.5^3

V = 91.125

Thus, the volume of the cube is 912.125 in^3.

#3 Surface area of the triangular prism:

One formula we can use for the surface area of a triangular prism is given by:

SA = bh + L(s1 + s2 + s3), where

In this triangular prism, the base is 6 in., the height is 8 in., the length is 6 in., and the three side lengths of one of the triangles are 8 in., 6 in., and 10 in.

Thus, we can plug in 6 for b, 8 for h, 6 for L, and 8, 6, and 10 for s1, s2, and s3 in the triangular prism surface area formula to find SA, the surface area of the triangular prism in square meters:

SA = 6 * 8 + 6(8 + 6 + 10)

SA = 48 + 6(24)

SA = 48 + 144

SA = 192

Thus, the surface area of the triangular prism is 192 m^2.

#3 Volume of the triangular prism:

The formula for the volume of a triangular prism is given by:

V = 1/2bhl, where

Thus, we can plug in 6 for b, 8 for h, and 6 for l in the triangular prism volume formula to find V, the volume of the triangular prism in cubic meters:

V = 1/2(6)(8)(6)

V = 3 * 48

V = 144

Thus, the volume of the triangular prism is 144 m^3.

#4 Surface area of the triangular prism:

Because this figure is also a triangular prism, we can use the same formulas to surface area and volume as we used for #3.  

Since the formula for surface area of a triangular prism is given by:

SA = bh + L(s1 + s2 + s3), we can plug in 12 for b, 8 for h, 12 for L, and 10, 10, and 12 for s1, s2, and s3 in the surface area formula to find SA, the surface area of the triangular prism in cubic ft:

SA = 12 * 8 + 12(10 + 10 + 12)

SA = 96 + 12(32)

SA = 96 + 384

SA = 480

Thus, the surface area of the triangular prism is 480 ft^2.

#4 Volume of the triangular prism:

Since the volume for the volume of a triangular prism is given by:

V = 1/2bhl, we can plug in 12 for b, 8 for h, and 12 for l in the triangular prism volume formula to find V, the volume of the triangular prism in cubic ft:

V = 1/2(12)(8)(12)

V = 6 * 96

V = 576

Thus, the volume of the triangular prism is 576 ft^3.

#5 Surface area of the cylinder:

The formula for the surface area of a cylinder is given by:

SA = 2πrh + 2πr^2, where

In the cylinder, the radius of one of the circles is 2 yd and the height of the cylinder is 5 yd.

Thus, we can plug in 2 for r and 5 for h to find SA, the surface area of the cylinder in square yd:

SA = 2π(2)(5) + 2π(2)^2

SA = 2π(10) + 2π(4)

SA = 20π + 8π

SA = 28π

SA = 87.9645943

SA = 87.96

Thus, the surface area of the cylinder is about 87.96 yd^2.

#5 Volume of the cylinder:  

The formula for the volume of a cylinder is given by:

V = πr^2h, where

Thus, we can plug in 2 for r and 5 for h in the cylinder volume formula to find V, the volume of the cylinder in cubic yd:

V = π(2)^2 * 5

V = 4π * 5

V = 20π

V = 62.83185307

V = 62.83

Thus, the volume of the cylinder is about 62.83 yd^3.

True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.

What is a performance comparison?

They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.

                 The measures are employed in productivity improvement projects to monitor changes in productivity over time.

Why is performance measurement important?

Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.

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Sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, lies between 1/10 and 1/9

1/10 < S < 1/9

The correct option is C.

From the question, we have the following information is:

If S is the sum of the reciprocals of the consecutive integers from 91 to 100.

Now, we have to find the which of the following is less than S?

Now, According to the question:

There are 10 consecutive integers from 91 to 100 , inclusive

If all 10 integers be 90 , then sum of the reciprocals of the consecutive integers :

=> \((\frac{1}{90} )10 =\frac{1}{9}\)

If all the 10 integers be 100, then sum of the reciprocals of the consecutive integers:

=> \((\frac{1}{100} )10 =\frac{1}{10}\)

This means, sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, lies between 1/10 and 1/9

1/10 < S < 1/9

Hence, 1/10 is less than S  

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The expected value for each roll is \((1+2+3+4+5+6)/6 = 3.5.\)

The average of Brandon's rolls, we simply add up all the results and divide by the number of rolls:
\((1+2+2+3+4+6+2+1+5+6+1+6+2+6+4+6+2+6+4+6)/20 = 3.6\)
So the average of Brandon's rolls is 3.6.
Now we need to count how many times he rolled above the average. To do this, we simply count how many rolls were greater than 3.6:
4, 6, 5, 6, 6, 4, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 4, 6, 4, 6
There were 18 rolls that were greater than 3.6, so Brandon rolled above the average 18 times.
In summary, Brandon rolled a six-sided die 20 times and recorded the results in a table. To find out how many times he rolled above the average, we first calculated the average roll to be 3.6. We then counted how many times he rolled above this value and found that he did so 18 times.

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Answer:

1.43

Step-by-step explanation:

1.43 or  1  43/100 turned into a percent is 143%

Answer:

1.43 because 1 = 100 percent and the 43 is your 43 remaining

Answer:

7

Step-by-step explanation:

Hope this helps!!

Cell contents assignment to a non-cell array object" is an error message that occurs when you attempt to assign cell contents to a variable that is not a cell array.

In MATLAB, a cell array is a data structure that can hold different types of data, including other arrays, matrices, or even other cell arrays.

When you encounter the error message "Cell contents assignment to a non-cell array object," it means that you are trying to assign cell contents (data wrapped in curly braces {}) to a variable that is not a cell array.

The error typically occurs when you mistakenly try to assign cell contents to a regular array, matrix, or another non-cell variable.

To resolve this error, make sure you are assigning cell contents to a variable that is explicitly defined as a cell array using the curly braces {}.

The error message "Cell contents assignment to a non-cell array object" indicates that you are trying to assign cell contents to a variable that is not a cell array. Check your code and ensure that you are assigning cell contents to a variable that is explicitly defined as a cell array using curly braces {}.

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Answer:

Least to Greatest:

- 2

25 }

 <  { - 1.55  <  

111

100

Step-by-step explanation:

Answer:

4 blue + 3 yellow = 7 cards (1 set)

Total of 84 cards has 12 set of cards (84/7 =12)

So, no. of blue cards are 12*4= 48 cards

The local minimum value of the function f(x, y) = x² - y³ + 2xy - 6x - y + 1 occurs at the point (2, 1).

To find the local extrema of the function f(x, y) = x² - y³ + 2xy - 6x - y + 1, we need to determine the critical points where the partial derivatives with respect to x and y are both zero.

Taking the partial derivative with respect to x, we have:

∂f/∂x = 2x + 2y - 6

Taking the partial derivative with respect to y, we have:

∂f/∂y = -3y² + 2x - 1

Setting both partial derivatives equal to zero and solving the resulting system of equations, we find the critical point:

2x + 2y - 6 = 0

-3y² + 2x - 1 = 0

Solving these equations simultaneously, we obtain:

x = 2, y = 1

To determine if this critical point is a local extremum, we can use the second partial derivative test or evaluate the function at nearby points.

Taking the second partial derivatives:

∂²f/∂x² = 2

∂²f/∂y² = -6y

∂²f/∂x∂y = 2

Evaluating the second partial derivatives at the critical point (2, 1), we find ∂²f/∂x² = 2, ∂²f/∂y² = -6, and ∂²f/∂x∂y = 2.

Since the second partial derivative test confirms that ∂²f/∂x² > 0 and the determinant of the Hessian matrix (∂²f/∂x²)(∂²f/∂y²) - (∂²f/∂x∂y)² is positive, the critical point (2, 1) is a local minimum.

Therefore, the local minimum value of the function f(x, y) = x² - y³ + 2xy - 6x - y + 1 occurs at the point (2, 1).

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