Does the budgeted amount cover the actual amount for expenses, savings, and emergencies? A) No, it's short $207. 0. Eliminate B) No, it's short $227. 0. C) Yes, there's a surplus of $207. 0. D) Yes, there's a surplus of $227. 0

Answer:

square root 162

Step-by-step explanation:

Answer:

\(9 \sqrt{2 } \)

Answer:

175.00

Step-by-step explanation:

Answer:

$175.00

Step-by-step explanation:

...........................................

Step-by-step explanation:

\(\tt{ 7d-6d=16 }\)

\(\tt{ d=16 }\)

Answer:

Step-by-step explanation:

I hope it helps you

The missing sides of the special right triangles are listed below:

Case 1: y = √2 · 13, x = 13

Case 2: x = y = 15√2

Case 3: x = 6, y = 3√3

Case 4: x = 17√3, y = 17

Case 5: x = y = 10

Case 6: x = 50, y = 25

Case 7: x = y = 4√7

Case 8: x = 16√3, y = 8√3

Case 9: x = 11√3, y = 33

Case 10: x = 3√2, y = 2√6

Case 11: x = √10, y = 2√5

Case 12: x = 4√7, y = 8√21

Herein we find twelve cases of special right triangles whose missing sides must be determined by using the following rules:

45 - 90 - 45 Right triangle

r = √2 · x = √2 · y

30 - 60 - 90 Right triangle

x = (1 / 2) · r

y = (√3 / 2) · r = √3 · x

Where:

Case 1

y = √2 · 13

x = 13

Case 2

x = y = 15√2

Case 3

x = 3 / (1 / 2)

x = 6

y = 3√3

Case 4

x = 34 · (√3 / 2)

x = 17√3

y = 34 · (1 / 2)

y = 17

Case 5

x = y = 10

Case 6

x = 25√3 / (√3 / 2)

x = 50

y = 25√3 / √3

y = 25

Case 7

x = y = 2√14 · √2 = 2√28 = 4√7

Case 8

x = 24 / (√3 / 2)

x = 48 / √3

x = 16√3

y = 24 / √3

y = 8√3

Case 9

x = 22√3 · (1 / 2)

x = 11√3

y = 22√3 · (√3 / 2)

y = 33

Case 10

x = √18

x = 3√2

y = √6 / (1 / 2)

y = 2√6

Case 11

x = √10

y = √20

y = 2√5

Case 12

x = 4√21 / √3

x = 4√7

y = 4√21 / (1 / 2)

y = 8√21

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Answer:

1. is ounces

2. you would use ounces

3. 3.5 x 16 = 56

4. .5, 1, 1.5, 2, 2.5

Answer:

Independent: Number of pounds

Dependent: Cost

Rate of change: $1.99 per pound

Explanation:

In this situation, there are 2 variables: The number of pounds and the cost.

The independent variable is the variable that you decide. Since you decide how many pounds of apples to buy, the independent variable is the number of pounds.

The dependent variable depends on the independent variable. Since the cost change depending on the number of pounds. The cost is the dependent variable.

Finally, the rate of change can be calculated as:

Therefore, the rate of change is $1.99 per pound.

Answer:

-15x - 23 = 15

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define Equation

-14 - 3x - 9 - 12x = 15

Step 2: Simplify

Answer:

  72 cm²

Step-by-step explanation:

You want the area of a shape consisting of a rectangle and a triangle. The rectangle is 7 cm long and 8 cm high. The triangle has a base of 8 cm and a height of 4 cm.

The area of the rectangle is ...

  A = bh

  A = (8 cm)(7 cm) = 56 cm²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(8 cm)(4 cm) = 16 cm²

The total area is the sum of the areas of the parts:

  total area = rectangle area + triangle area

  = (56 cm²) +(16 cm²) = 72 cm²

The area of the shape is 72 cm².

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Additional comment

You can see from the area formula that the area of a triangle is half the area of its enclosing rectangle. That is, the 4 cm high triangle on the right side of the figure effectively adds the area of a 2 cm  wide rectangle with the same base.

The figure's area is equivalent to that of a rectangle 7+(4/2) = 9 cm wide and 8 cm high: (9 cm)(8 cm) = 72 cm², as above.

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Therefore, the maximum amount of water the rectangular container can hold is approximately 16,755.2 cubic inches.

Volume is the amount of space occupied by a three-dimensional object or the capacity of a container, typically expressed in cubic units. It is the measure of the amount of a substance that a container or object can hold. For example, the volume of a cube can be calculated by multiplying its length, width, and height, while the volume of a cylinder can be calculated by multiplying the area of its circular base by its height.

Here,

The volume of the rectangular container can be found by multiplying its length, width, and height:

V = l x w x h

V = 32 in x 22 in x 23.8 in

V ≈ 16,755.2 cubic inches

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The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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Answer 0.90

Step-by-step explanation: she makes 0.90 cents we know because if you multiply it by 5 you get the equation.

Answer:the answer is 31

Step-by-step explanation:

We are looking for a new number which is 25 less than 56.

We will get the new number by subtracting 25 from 56.

We write it down as:

56-25=31

And finally the solution for: What number is 25 less than 56?

is 31

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

A. 15 mi/h; 20 mi/hr

Step-by-step explanation:

The y int appears to be 3,

and the slope appears to be -3/5

so the equation can be y=-3/5x+3

In any revolution of the ferris wheel, your seat will be above 9 meters for a certain duration of time.

To calculate this duration, we can use the concept of angular displacement. The ferris wheel completes one revolution, which corresponds to an angular displacement of 360 degrees or 2π radians.

Since the diameter of the ferris wheel is 12 meters, the radius is half of that, which is 6 meters.

When your seat is above 9 meters, it means that you are higher than half the diameter of the ferris wheel. In other words, your height from the center of the ferris wheel is greater than 6 meters.

To determine the angular displacement for which your seat is above 9 meters, we can use the trigonometric relationship between the angle and the height.

By using the sine function, we can write sinθ = height / radius. Rearranging this equation, we get height = radius * sinθ.

Substituting the values, we have height = 6 * sinθ.

To find the duration of time, we need to find the values of θ for which the height is greater than 9 meters.

Therefore, we need to solve the inequality 6 * sinθ > 9.

By solving this inequality, we can find the range of values for which your seat will be above 9 meters during a revolution of the ferris wheel.

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Answer:

4(10 + 16)

Step-by-step explanation:

40 + 20 = 60, so none of the answers can be 60.

Let's look at all of the answer choices:

10(4 + 2) = 60

4(10 + 16) = 104 (this is the answer!)

5(8 + 4) = 60

2(20 + 10) = 60

Answer: (2x + 1)(x - 1)

Step-by-step explanation:

We can use polynomial long division or synthetic division to find the other factor of the polynomial. Alternatively, we can use the fact that if (x - 2) is a factor of the polynomial 2x^3 - 3x^2 - 3x + 2, then (2 - x) is also a factor of the polynomial.

We can use synthetic division to divide the polynomial by (2 - x) and obtain the quotient polynomial:

2 -3 -3 2

2-x | 2 -3 -3 2

- 4 14 -22

2 -7 11 0

Therefore, the other factor of the polynomial is 2x^2 - 7x + 11. We can factor this quadratic expression as (2x + 1)(x - 1).

Thus, the factorization of the polynomial 2x^3 - 3x^2 - 3x + 2 is:

2x^3 - 3x^2 - 3x + 2 = (x - 2)(2x + 1)(x - 1)

a) The median would be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean.

b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers.

a) The median is expected to be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean. The mean is calculated by adding all the values together and dividing by the number of values, and if there are any values that are much lower or higher than the rest, this will affect the mean significantly. The median, however, is the midpoint of the values, so outliers have less of an influence on it.

b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers. The median is the midpoint of the values, which means that if there are any values that are much lower or higher than the rest, it will not affect the median as much as it does the mean. This makes the median more accurate in representing the life expectancy of countries, as it is not skewed by outliers. Furthermore, the median is generally more reliable when dealing with skewed distributions, which is often the case with life expectancy data.

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Step-by-step explanation:

4) d = √(3-1)²+(7-(-1))²

=√2²+8² = √4+64 =√68

5) AD=29

AB =2x+4,BC=2x,CD=x

AD = 2x+4+2x+x

29=2x+4+2x+x

29=5x+4

29-4=5x

x=25/5

x=5

AB =2x+4

=2(5)+4 =14

BD = BC +CD

= 2x+x

=2(5)+5 =15

Present value of Loan payment 1 = \($1000 / (1 + (0.12/365))^{60\)

Present value of Loan payment 2 = \($1200 / (1 + (0.12/365))^{(-30)\)

The single payment required 90 days from now to pay off the two obligations would be the total present value calculated in Step 3.

To calculate the single payment required to pay off the two obligations with a 12% interest rate, we can use the concept of present value. Present value is the current worth of a future payment, taking into account the interest rate and time.

Let's break down the given information:

Loan payment 1: $1000 due 60 days ago

Loan payment 2: $1200 due in 30 days

To find the single payment required 90 days from now, we need to calculate the present value of each payment and then add them together.

Step 1: Calculate the present value of Loan payment 1.

The time period for Loan payment 1 is 60 days ago.

To bring it to the present, we need to calculate the interest accrued for 60 days at a 12% annual interest rate.

Step 2: Calculate the present value of Loan payment 2.

The time period for Loan payment 2 is 30 days in the future.

To bring it to the present, we need to calculate the interest accrued for 30 days at a 12% annual interest rate.

Step 3: Add the present values of Loan payment 1 and Loan payment 2.

Total present value = Present value of Loan payment 1 + Present value of Loan payment 2

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Negative bases are not often used in logarithms because they produce complex results. For example, if the base is negative and the exponent is positive, the result will be a complex number.

Logarithms are generally used to solve equations or simplify complex problems. Having a negative base would complicate this process, as it would introduce complex numbers or even imaginary numbers into the equation. Consequently, it is not feasible to use negative bases with logarithms. Furthermore, if both the base and the exponent are negative, the result is undefined. This means that it is not possible to evaluate the expression. Therefore, for these reasons, it is usually not practical to use negative bases when working with logarithms.

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Answer:

x =  ​(y+w)/k

Step-by-step explanation:

xk-w=y ​

Add w to each side

xk-w+w=y+w

xk = y+w

Divide each side by k

xk/k = (y+w)/k

x =  ​(y+w)/k

Answer:

x=\(\frac{y+w}{k}\)

Step-by-step explanation:

Have a nice day

The positive externality of carpooling with friends is reduced traffic on the road. Hence, option C is the correct option.

Carpooling is a very useful method of reducing traffic as well as pollution and is quite simple as well. It involves the usage of only one common vehicle that can be used by people who commute to the same destination. It's helpful since it means a lot of people will use only one vehicle and hence, there will be less traffic and pollution.

In the given problem as well, since these friends are gonna carpool to work, they will use the same vehicle and so, lead to less traffic. So, option C is the correct option.

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Answer:

Each x-coordinate increased by 6 and each y-coordinate decreased by 3.

Step-by-step explanation:

Let us use the coordinates of a and a' as an example

a = (-3, 5) a' = (3, 2)

So -3 is for the x-axis in coordinate a and 3 is for the x axis in coordinate a'

Then -3 + 6 = 3 ( This is the x coordinate for a' )

So 5 is for the y -axis in coordinate a and 2 is for the y axis in coordinate a'

Then 5 - 3 = 2 ( This is the y coordinate for a' )

HOPE THIS HELPED

Answer:

her unit rate is 1.67. she needs 225 minutes to read the whole novel

Answer:

No -2 is greater then -32 if it was -2 and 32 then it would be a different answer

A two-tailed test seeks evidence that the population parameter for sample (1) is either greater than or less than the population parameter for sample (2).

For a two-sample hypothesis which tests for differences in population parameters (1) and (2), a two-tailed test seeks evidence that there is a significant difference between the means of the two populations, regardless of the direction of the difference.

In other words, the null hypothesis is that there is no difference between the two population means, and the alternative hypothesis is that there is a difference between them, either in the positive or negative direction.

The two-tailed test is used when we do not have any prior knowledge about the direction of the difference and want to be able to detect any significant difference, whether it is positive or negative.

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Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

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Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

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