-13m = -377

please solve

In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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Answer:

70

Step-by-step explanation:

Proportional means in a ratio.

Picking any L/W from the table works. Set that equal to 42/W.

\(\frac{6}{10} =\frac{42}{W}\)

Solve for W.

6W = 42 * 10

6W=420

W=70

To find P(UN VOW), we need to first find P(U) and P(VOW), and then calculate their intersection. There are 16 cards in total, and U consists of 4 of them. Therefore, the probability of choosing a card in U is P(U) = 4/16 = 1/4.

Out of the 16 cards, there are 5 vowels (A, E, I, O, U). Therefore, the probability of choosing a vowel is P(VOW) = 5/16.

W consists of the letters A, C, and E. There are 3 cards with those letters, out of a total of 16 cards. Therefore, the probability of choosing a card in W is P(W) = 3/16.

To find the probability of the intersection of two events, we multiply their probabilities. Therefore, the probability of the intersection of U and VOW is:

P(U ∩ VOW) = P(U) * P(VOW) = (1/4) * (5/16) = 5/64

Since we are looking for P(UN VOW), we need to subtract P(U ∩ VOW) from P(U):

P(UN VOW) = P(U) - P(U ∩ VOW) = 1/4 - 5/64 = 11/64

Therefore, the probability of choosing a card in U but not in VOW is 11/64.

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The length of the parabola f(x)= 2x is L(c) = ∫[0,C] √(1 + (2x)^2) dx

(b) L''(c) = d^2/dC^2 ∫[0,C] √(1 + (2x)^2) dx  L is concave up or concave down on the given interval.

a. The length of the parabola f(x) = x^2 from x = 0 to x = C can be found using the arc length formula. The formula for arc length is given by:

L(c) = ∫[a,b] √(1 + (f'(x))^2) dx

In this case, f(x) = x^2, so we can find f'(x) as:

f'(x) = 2x

Substituting the values into the arc length formula:

L(c) = ∫[0,C] √(1 + (2x)^2) dx

Simplifying the expression under the square root and integrating, we can find an expression for L(c).

b. To determine if L is concave up or concave down on the interval [0,∞), we can examine the second derivative of L with respect to c. If the second derivative is positive, then L is concave up; if the second derivative is negative, then L is concave down.

To find the second derivative, we differentiate L(c) with respect to c:

L''(c) = d^2/dC^2 ∫[0,C] √(1 + (2x)^2) dx

By analyzing the sign of L''(c), we can determine if L is concave up or concave down on the given interval.

a. The length of the parabola f(x) = x^2 from x = 0 to x = C can be found using the arc length formula. The formula considers the square root of the sum of squares of the derivative of the function. By integrating this expression from x = 0 to x = C, we obtain the length L(c) of the parabola. The graph of the function will display the parabolic shape of the curve, with increasing length as C increases.

b. To determine the concavity of the length function L(c), we need to find the second derivative of L(c) with respect to c. The second derivative provides information about the concavity of the function.

If L''(c) is positive, the function is concave up, indicating that the length of the parabola is increasing at an increasing rate. If L''(c) is negative, the function is concave down, indicating that the length of the parabola is increasing at a decreasing rate.

By evaluating the sign of L''(c), we can determine whether L is concave up or concave down on the interval [0,∞).

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The lateral area of the given prism is  450 mm².

The lateral area of any prism is equal to the areas of the sides faces

The base of the prism is triangle

It has 3 side faces

The lengths of the side faces are 5 , 12 , 13 and their height is 15.

The lateral area = (5 × 15) + (12 × 15) + (13 × 15)

The lateral area= 75 + 180 + 195

The lateral area = 450 mm²

Hence, the lateral area of any prism is  450 mm².

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A) The change in entropy of the ice is 0.346 kJ/K.

B) The change in entropy of the stone slab is -1.257 kJ/K.

C) The total change in entropy of the system is -0.911 kJ/K.

Part A:

The change in entropy of the ice can be calculated using the formula:

ΔS_ice = Q_ice / T

where Q_ice is the heat transferred to the ice and T is the temperature at which the heat transfer occurs.

In this case, the ice is absorbing heat from the stone slab until it reaches thermal equilibrium.

The amount of heat transferred can be calculated using the formula:

Q_ice = m_ice c_ice ΔT

where, m_ice is the mass of the ice, c_ice is the specific heat of ice, and ΔT is the change in temperature of the ice.

Since the ice is initially at -10∘C and the final temperature is 0∘C (the melting point of ice), ΔT is 10∘C.

Substituting these values into the equations, we get:

Q_ice = (4.5 kg) (2100 J/kg⋅K) (10 K)

          = 94.5 kJ

ΔS_ice = Q_ice / T = (94.5 kJ) / (273 K)

           = 0.346 kJ/K

Therefore, the change in entropy of the ice is 0.346 kJ/K.

Part B:

The change in entropy of the stone slab can be calculated using the same formula as before:

ΔS_stone = Q_stone / T

where, Q_stone is the heat transferred to the stone and T is the temperature at which the heat transfer occurs.

In this case, the stone is losing heat to the ice until both reach thermal equilibrium.

The amount of heat transferred can be calculated using the same formula as before:

Q_stone = m_stone c_stone ΔT

where m_stone is the mass of the stone slab, c_stone is the specific heat of the stone, and ΔT is the change in temperature of the stone.

Since the stone slab is initially at +10∘C and the final temperature is 0∘C, ΔT is 10∘C.

Substituting these values into the equations, we get:

Q_stone = -(4.5 kg) (790 J/kg⋅K) (10 K) = -355.5 kJ

ΔS_stone = Q_stone / T = (-355.5 kJ) / (283 K) = -1.257 kJ/K

Therefore, the change in entropy of the stone slab is -1.257 kJ/K.

Part C:

The total change in entropy of the system can be calculated by adding the changes in entropy of the ice and the stone slab:

ΔS_tot = ΔS_ice + ΔS_stone

Substituting the values we calculated earlier, we get:

ΔS_tot = 0.346 kJ/K + (-1.257 kJ/K) = -0.911 kJ/K

Therefore, the total change in entropy of the system is -0.911 kJ/K.

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The combination of scores that won the National Championship for Baylor are 18 free throws, 24 two point field goals and 6 three-point field goals.

An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

Either sides of an equation is called as left hand side and right hand side.

Given Baylor University defeated Michigan State University by a score of 84 to 62.

Score of Baylor University = 84

Baylor won by scoring a combination of two-point field goals, three-point field goals, and one-point free throws.

Let the number of free throws = x

The number of two-point field goals was six more than the number of free throws.

Number of two point field goals = x + 6

Also, the number of two-point field goals was four times the number of three-point field goals.

Number of two point field goals =  4 (number of three-point field goals)

So, 4 (number of three-point field goals) = x + 6

Number of three-point field goals = (x + 6) / 4

Score for free throw = 1 point × x

Score for 2 point field goal = 2 points × (x + 6)

Score for 3 point field goal = 3 points × [(x + 6)/4]

[1 × x] + [2 (x+6)] + [3 ((x+6)/4] = 84

x + 2x + 12 + 3/4 x + 18/4 = 84

3.75x + 16.5 = 84

3.75x = 67.5

x = 18

Number of free throws = x = 18

Number of two point field goals = x + 6 = 18 + 6 = 24

Number of three-point field goals = (x + 6) / 4 = 24/4 = 6

Hence the combination are 18 free throws, 24 two point field goals and 6 three-point field goals.

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The city will need about 3,386.36 square feet of grass to cover the playground area.

First, we need to convert the diameter from meters to feet since the unit of area is square feet. We know that 1 meter is approximately equal to 3.28 feet. Therefore, the diameter of the playground in feet is:

20 meters x 3.28 feet/meter = 65.6 feet

Next, we need to find the radius of the playground, which is half of the diameter:

Radius = 20 meters / 2 = 10 meters

Radius in feet = 10 meters x 3.28 feet/meter = 32.8 feet

Now we can calculate the area of the playground in square feet using the formula for the area of a circle:

Area = pi x radius^2

Area = 3.14 x (32.8 feet)^2

Area = 3.14 x 1,076.84 square feet

Area ≈ 3,386.36 square feet

Therefore, the city will need about 3,386.36 square feet of grass to cover the playground area.

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Answer:

The equation of a quadratic function that contains the points (1, 21), (2,18) and (-1, 9) is \(y = -3\cdot x^{2}+6\cdot x +18\).

Step-by-step explanation:

A quadratic function is a second order polynomial of the form:

\(y = a\cdot x^{2}+b\cdot x + c\) (1)

Where:

\(x\) - Independent variable.

\(y\) - Dependent variable.

\(a\), \(b\), \(c\) - Coefficients.

From Algebra we understand that a second order polynomial is determined by knowing three distinct points. If we know that \((x_{1}, y_{1}) = (1, 21)\), \((x_{2},y_{2}) = (2,18)\) and \((x_{3}, y_{3}) = (-1, 9)\), then we construct the following system of linear equations:

\(a+b+c = 21\) (2)

\(4\cdot a + 2\cdot b + c = 18\) (3)

\(a - b + c = 9\) (4)

By algebraic means, the solution of the system is:

\(a = -3\), \(b = 6\), \(c = 18\)

Therefore, the equation of a quadratic function that contains the points (1, 21), (2,18) and (-1, 9) is \(y = -3\cdot x^{2}+6\cdot x +18\).

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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The thief stole 22 oranges using algebraic equations.

To solve this problem, we need to use algebra. Let x be the number of oranges the thief stole.

According to the problem, the thief gave the guard half of the stolen oranges and two more. This means that he gave away (1/2)x + 2 oranges.

We also know that the thief was left with only 9 oranges. So we can set up the equation:

x - [(1/2)x + 2] = 9

Simplifying this equation:

(1/2)x - 2 = 9
(1/2)x = 11
x = 22

Therefore, the thief stole 22 oranges.

The problem presents us with a scenario where a thief entered an orange garden and stole some oranges. However, he was caught by the guard. In order to get rid of the guard, the thief decided to give him half of the stolen oranges and two more. As a result, the thief was left with only 9 oranges.

To solve this problem, we used algebraic equations. We let x be the number of oranges the thief stole. We also knew that the thief gave away (1/2)x + 2 oranges to the guard. Using this information, we were able to set up an equation where x - [(1/2)x + 2] = 9. Simplifying the equation, we were left with (1/2)x - 2 = 9. Solving for x, we found that the thief had stolen 22 oranges.

In conclusion, algebraic equations are a useful tool in solving mathematical problems. By setting up an equation and simplifying it, we were able to determine the number of oranges that the thief had stolen.

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Answer:

x < 7

Step-by-step explanation:

The area of the rectangle would be equal to the sum of the areas of these 12 squares.

The area of a rectangle is a measure of the amount of space it covers. It is calculated by multiplying the length and the width of the rectangle.

For a rectangle with sides of 3 cm and 4 cm, the area can be found by multiplying 3 by 4. The formula for finding the area of a rectangle is

=> A = l * w,

where l is the length and w is the width.

So, for the rectangle with sides 3 cm and 4 cm, the area would be

=> A = 3 * 4 = 12 square centimeters.

To visualize this, imagine a rectangle with sides of 3 cm and 4 cm. If you placed 12 squares of 1 cm each inside this rectangle, it would fill up the entire rectangle without any space left.

Complete Question:

Find the areas of the rectangles whose sides are:

(a) 3 cm and 4 cm

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Answer:

V≈743.25

Step-by-step explanation:

V=5

12tan(54°)ha2=5

12·tan(54°)·4·182≈743.24624

Gail should pick a Beautiful bank if she plans to have her money in the account for 15 years.

To determine which bank would be better for Gail, we need to calculate the future value of her investment after 15 years for each bank and compare the results.

For Neighborhood Bank, we can use the formula:

FV = P(1 + r/n)^(n*t)

where FV is the future value,

P is the principal (the initial amount invested),

r is the annual interest rate (as a decimal),

n is the number of times the interest is compounded per year,

and t is the number of years.

Plugging in the values, we get:

FV = 5,500(1 + 0.012/1)^(1*15)

FV = 5,500(1.012)^15

FV = 7,130.34

For Beautiful Day Bank, we can use the formula:

FV = P(1 + r/n)^(n*t)

Plugging in the values, we get:

FV = 5,500(1 + 0.012/365)^(365*15)

FV = 5,500(1.000032876)^5475

FV = 7,145.25

Therefore, Beautiful Day Bank would be the better choice for Gail, as she would earn a higher amount of interest and end up with a higher future value for her investment after 15 years.

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Answer:

y=-2x-39

Step-by-step explanation:

Answer:

100=39+2x

Step-by-step explanation:

hoped that hedlp:P

Answer:

For the first equation we have:

A*x = b

solving for x, we get:

x = b/A

If it always has a solution, then we can not have A = 0, because that causes an undefined operation.

so for example, if we have A = 1 and b = 2

x = b/A = 2/1

For the other case,

A*y = 0

dividing both sides by A

y = 0/A = 0

y = 0

Here we have only one possible solution, the trivial one, y = 0.

And the dependence on A disappears (because the quotient between zero and a number different than zero is always zero)

Answer:

-10

Step-by-step explanation:

yea i just did a test

Answer:

m A = 63

m C = 27

Step-by-step explanation:

to find the angle of a use trigonometry by doing, cos-1(17/38) = 63

to find C, we know angles in a triangle add to 180. We know the right angle is 90 degrees so do 90 + 63 = 153

180 - 153 = 27

so C = 27 degrees

Answer:

I can't see what this says

Step-by-step explanation:

The closest option to the calculated net present value is d. $(15,542).

To calculate the net present value (NPV) of the project, we need to discount the annual cash flows to their present value and subtract the initial investment.

Using the formula for the present value of a cash flow:

PV = CF / (1 + r)^n

Where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

For the given data:

Initial investment = $380,000

Annual cash flow = $133,000 per year

Expected life of the project = 4 years

Discount rate = 13%

Calculating the present value of the annual cash flows:

PV = $133,000 / (1 + 0.13)^1 + $133,000 / (1 + 0.13)^2 + $133,000 / (1 + 0.13)^3 + $133,000 / (1 + 0.13)^4

PV ≈ $133,000 / 1.13 + $133,000 / 1.28 + $133,000 / 1.45 + $133,000 / 1.64

PV ≈ $117,699 + $104,687 + $91,724 + $81,098

PV ≈ $395,208

Finally, calculating the net present value:

NPV = PV - Initial investment

NPV ≈ $395,208 - $380,000

NPV ≈ $15,208

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Step-by-step explanation:

\(4pound \: roast \: = 140 \: minutes \\ 5 \: pounds \: roast \: = {?} \\ then cross multiplication \\ 140 \times 5 \: divide \: by \: 4 \\ 700 \div 4 = 175 \\ 5 \: pound \: roast \: take \: 175 \: minutes\)

Answer: A good equation would be 1.20/12 and then 0.80/12.

Step-by-step explanation: after getting the answers from both equations you can determine how much to spend on each tea to evenly spend your money on both

Answer:

-a-3b

Step-by-step explanation:

a+2b-2a-b+2(-2b)

-a+b-4b

-a-3b

-(a+3b)

Answer:

Step-by-step explanation:

x ← the smallest integer

x+1 ← the middle integer

x+2 ← the largest integer

3x   ← three times the smallest

x+2 + 14   ← 14 more than the largest

  3x = x+2 + 14

   -x     -x

  2x = 16

 ÷2     ÷2

   x = 8

x+1 = 8+1 = 9

x+2 = 8+2 = 10

Check:  3×8 = 24;  24-14 = 10

Based on proportions, the numbers of students in the senior form and junior form are 615 and 885, respectively.

Proportion refers to the equation of two ratios.

Proportion is a fractional value depicted using ratios, percentages, fractions, and decimals.

The percentage of senior form students in the school = 41%

The percentage of junior form students = 59% (100% - 41%)

The additional percentage of junior over senior students = 18% (59% - 41%)

The additional number of junior form students over the seniors = 270

Proportionately, if 18% = 270, the total number of students (both junior and senior) = 1,500.

Therefore, the number of senior and junior students is as follows:

Check:

The difference in the numbers = 270 (885 - 615)

Thus, using proportions, we can state that there are 1,500 students in the school, consisting of 615 seniors and 885 juniors.

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Answer:

14

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(8 + 20) / (5 - 3)

28 / 2

= 14

So, the slope is 14.

Answer:

40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.

Step-by-step explanation:

Given that:

Hourly rate = d

Earning to first 40 hours = 40d

Earning of more than 40 hours = 1.5d

Amount paid per week = $770

Hours worked = 50 hours

first 40 hours + 10 hours = total earned

40d + 10(1.5d) = 770

Hence,

40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.

Increases in tolerable misstatement will decrease sample size and assessed level of control risk will Increase sample size in a substantive test of details.

Sample size will be decreased when there is an increase in tolerant misstatement because there is a deviation that does not impact the financial statement. An increase in the assessed level of control risk, on the other hand, will increase sample size because the risk of material misstatements has also increased.

Complete question:-

How would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details?

a. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Decrease sample size

b. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Increase sample size

c. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Decrease sample size

d. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Increase sample size

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