Direct Materials Purchases Budget Anticipated sales for Solid Grip Company were 66,000 passenger car tires and 20,000 truck tires. Rubber and steel belts are used in producing passenger car and truck tires as follows: Passenger Car Truck Rubber 33 lb. per unit 77 lb. per unit Steel belts 5 lb. per unit 13 lb. per unit The purchase prices of rubber and steel are $2.90 and $3.80 per pound, respectively. The desired ending inventories of rubber and steel belts are 62,000 and 13,000 pounds, respectively. The estimated beginning inventories for rubber and steel belts are 73,000 and 11,000 pounds, respectively. Prepare a direct materials purchases budget for Solid Grip Company for the year ended December 31, 20Y8. When required, enter unit prices to the nearest cent.

The expression that is equivalent to [tex]5^{-10}/(5^4)(5^0)[/tex] is [tex]5^{-14[/tex].

We can simplify the expression using the rules of exponents, which state that when we divide two powers with the same base,

we can subtract their exponents, and when we multiply two powers with the same base, we can add their exponents.

Also, any number raised to the power of zero is equal to 1.

Using these rules, we have:

[tex]5^{-10} / (5^4)(5^0) \\= 5^{-10} / (5^4) \\= 5^{-10-4}\\ = 5^{-14[/tex]

Therefore, the expression that is equivalent to [tex]5^{-10}/(5^4)(5^0)[/tex] is [tex]5^{-14[/tex].

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The 8th term of the geometric sequence is -4374.

Given that we need to find the 8th term of the geometric sequence with the first term 2 and common ratio -3.

So,

aₙ = a₁ rⁿ⁻¹

So,

the 8th term of the geometric sequence =

a₈ = 2 (-3)⁸⁻¹

a₈ = 2 × (-3)⁷

a₈ = 2 × (-2187)

a₈ = -4374

Hence, the 8th term of the geometric sequence is -4374.

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The probability of having regular illness is (0.16) when compared to those with good sleep (0.12).

Let's calculate the probability of having regular illness given poor sleep:

P(regular illness | poor sleep) = 16% = 0.16

Now, let's calculate the probability of having regular illness given good sleep:

P(regular illness | good sleep) = 24 / (24 + 176) = 0.12

Hence, the probability of having regular illness is (0.16) when compared to those with good sleep (0.12).

This supports the doctor's claim that poor sleep increases the probability of having regular illness.

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Answer:

y + 5 = 3y - 1

2y = 6, so y = 3

4x - 2 = x + 10

3x = 12, so x = 4

Answer:v-14=42

Step-by-step explanation: Since Vidya’s age is v and when it is decreased by 14, v-14=42

The measures of angles and classification for the triangles are:

(20). m∠A = 33, m∠B = 66, m∠C = 81. Acute triangle

(21) m∠R = 20, m∠S = 140, m∠T = 20. Isosceles triangle

(22). m∠W = 75, m∠Y = 15, m∠Z = 90. Right triangle.

The sum of the interior angles of a triangle is equal to 180°, thus;

(20). x + 2x + 2x + 15 = 180°

x = 165/5

x = 33°

m∠A = 33

m∠B = 2(33) = 66

m∠C = [2(33) + 15] = 81

This is an acute triangle, as all its angles are less than 90°.

(21). x + 7x + x = 180°

9x = 180

x = 20

m∠R = 20

m∠S = 7(20) = 140

m∠T = 20.

This is an Isosceles triangle, because it have two equal base angles.

(22). x - 15 + 2x - 165 + 90 = 180°

3x - 90 = 180°

x = 270/3

x = 90.

m∠W = (90 - 15) = 75

m∠Y = [2(90) - 165] = 15

m∠Z = 90.

This is a Right triangle because it as one of its angle equal to 90°.

Therefore, the measures of angles and classification for the triangles are:

(20). m∠A = 33, m∠B = 66, m∠C = 81. Acute triangle

(21) m∠R = 20, m∠S = 140, m∠T = 20. Isosceles triangle

(22). m∠W = 75, m∠Y = 15, m∠Z = 90. Right triangle.

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Answer:

Answer = 30° , 90° , 150°

Step-by-step explanation:

Hope it helps you

Answer:

no not satisacl

Step-by-step explanation:

Detailed expressions of distributive property are simplified below.

Using the distributive property, simplify each expression as follows:

-2t(-9+9t) = 18t - 18t²

-9n(-8n-7) = 72n + 63n = 63n - 72n = -9n

-3b (6b+6) = -18b - 18

-7r(8+ 3r) = -56r - 21r²

3m(-2+3m) = -6m + 9m²

7w(-8 +3w) = -56w + 21w²

2w(-w-4) = -2w² - 8w

69(-4+8q) = -276 + 552q

-8v (-2-5v) = 16v + 40v²

-8a(7a + 2) = -56a - 16a²

5g(g-1) = 5g² - 5g

y(-9 + 6y) = -9y + 6y²

6b (8+7b) = 48b + 42b²

3r(-4r-8) = -12r² - 24r

3d(-5+8d) = -15d + 24d²

-7r(4-6r) = -28r + 42r²

-8j(7-6j) = -56j + 48j²

-3j (9+9j) = -27j - 27j²

2m(4-4m) = 8m - 8m²

8c(-5c+9) = -40c + 72c²

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The volume of a cylinder is thrice the volume of a cone with the same base and height.

The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height of the cylinder.

The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

If we take a cone with the same base and height as a cylinder, the radius of the cone's base would be equal to the radius of the cylinder's base. Therefore, we can compare the volumes of a cylinder and a cone with the same base and height as follows:

Vcylinder = πr²h

Vcone = (1/3)πr²h

Dividing the volume of the cylinder by the volume of the cone, we get:

Vcylinder / Vcone = (πr²h) / [(1/3)πr²h]

Vcylinder / Vcone = 3

So the volume of a cylinder is three times the volume of a cone with the same base and height.

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The equation of the parabola to the left in factored form is y = (x - 2)(x - 7).

In Mathematics and Geometry, the general form of a quadratic function can be modeled and represented by using the following quadratic equation;

y = ax² + bx + c

Where:

Next, we would solve the quadratic function by using the factors (zeros or roots) provided as follows;

y = (x - 2)(x - 7)

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Answer: -2

Step-by-step explanation:

You can see it clearly passes through an origin consisting of -2

Answer:

Step-by-step explanation:

A -5        

The expression shows the distance between the points -2.8, 1.6 is |x-y| units

When two numbers are pointed on the number line and they are x and y, then the expression to represent the difference between those two numbers is |x-y|

Let x = -2.8 and y = 1.6

Therefore, the distance between those two points is given by;

|x-y|

= |-2.8-1.6|

= |-4.4|

= 4.4 units.

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Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Answer:

here

Step-by-step explanation:

Answer:

Explanation:

-5 -4 -3 -2 -1 0 1 2 3 4 5

The new shares which the contribution buy is:

= $200 / $40/share

= 5 new shares.

There are 5 shares bought on Feb 15. Therefore, the total shares owned = 5.

An amount of $200 is spent on Feb 15. So, the total spent will be $200.

Average cost per share = Total spent / Total shares owned

Average cost per share = $200 / 5 shares

Average cost per share = $40/share

Current value of portfolio = Total shares owned × Current share price

Current value of portfolio = 5 shares × $40/share

Current value of portfolio = $200

I benefited from the share price dropping because the subsequent monthly contributions could buy more shares for the same amount of money.

However, the downside of the share price dropping is that the current value of the portfolio decreases which potentially leads to lower returns when selling the shares in the future.

Missing words "To minimize risk, you’ve decided to invest your IRA money in a low cost index fund called Einstein’s Index Fund 500 (EIF). You’ve decided you can afford to invest $200 per month, and your account is set to automatically buy $200 worth of shares on or near the 15th of every month."

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The solutions to the quadratic equation 3y(-2y+x)-5y(-7x+y) are y = -16x + 32x√2 and y = -16x - 32x√2

To solve the quadratic equation 3y(-2y+x)-5y(-7x+y), we first need to simplify it by distributing the terms inside the parentheses:

3y(-2y+x) = -6y² + 3xy

-5y(-7x+y) = 35xy - 5y²

Next, we can substitute these expressions back into the original equation and simplify it further:

3y(-2y+x)-5y(-7x+y) = (-6y² + 3xy) - (35xy - 5y²) = -6y² + 3xy - 35xy + 5y² = -y² - 32xy

Now, we have simplified the quadratic equation to the standard form of ax² + bx + c = 0, where a = -1, b = -32x, and c = 0. To solve for y, we can use the quadratic formula:

y = (-b ± √(b² - 4ac)) / 2a

Plugging in the values for a, b, and c, we get:

y = (-(-32x) ± √((-32x)² - 4(-1)(0))) / 2(-1) = (32x ± √(1024x²)) / (-2)

Simplifying further, we get:

y = -16x ± 32x√2

In conclusion, we can simplify the given quadratic equation by distributing the terms inside the parentheses, and then rearrange it to the standard form ax² + bx + c = 0. We can then use the quadratic formula to solve for y, and simplify the solutions.

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Answer: 44 degrees

Step-by-step explanation: 59+77+x=180

x=44

The Simple Interest (SI) for a principal amount of $1000, a rate of interest of 3%, and a time period of 2 years is $60.

Using the formula for Simple Interest (SI):

SI = (P x r x t) / 100

where P is the principal amount, r is the rate of interest, and t is the time period in years.

Substituting the given values:

SI = (1000 x 3 x 2) / 100

SI = 60

Therefore, the Simple Interest (SI) for a principal amount of $1000, a rate of interest of 3%, and a time period of 2 years is $60.

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Answer:

This equals (2x-9), you cannot simplify it more because it's a variable and number.  They have to both be numbers without variables or both variables to simplify.

Step-by-step explanation:

? This makes no sensibility.....

The value of k is given as follows:

k = 10.

The quadratic function in the context of this problem is defined as follows:

y = 3x² - 8x + 2k + 1.

The coefficients are given as follows:

a = 3, b = -8 and c = 2k + 1.

The product of the roots of  quadratic function is given as follows:

c/a.

For this problem, the product is of 7, hence the value of k is obtained as follows:

(2k + 1)/3 = 7

2k + 1 = 21

2k = 20

k = 10.

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Emily will get a $1,040 annual pension payout from her former employer's pension plan.

Emily is not fully vested in the pension plan because she left her work after four years. She is vested in 20% of the pension plan under the graded 5-year vesting schedule.

We can use the following formula to compute Emily's annual pension:

Annual pension = (final average income) x (service years) x (2% multiplier)

Emily's final average income in this scenario was $65,000, and she worked for 4 years. As a result, her annual pension would be:

Annual pension = ($65,000) multiplied by (4 years) multiplied by 2%

Pension = $5,200 per year

Emily, on the other hand, is only vested in 20% of her pension plan because she quit her work before the entire 5-year vesting term. As a result, her real pension payment will be:

Annual pension = ($65,000) multiplied by (4 years) multiplied by 2%

Pension = $5,200 per year

Emily, on the other hand, is only vested in 20% of her pension plan because she quit her work before the entire 5-year vesting term. As a result, her real pension payment will be:

(vested percentage) x (annual pension) equals pension payment

(20% of $5,200) equals pension payout

$1,040 in pension payments

As a result, Emily will get a $1,040 annual pension payout from her former employer's pension plan.

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Answer:

Large Number = 34 & Smaller Number = 20

Step-by-step explanation:

1. Define Variables

     Large Number = n

     Smaller Number = s

2. Equations

     n + s = 54

     n - s = 14

3. Combine the Equations

     n + s + n - s = 54 + 14

     2n = 68

     n = 34

4. Find s

     34 + s = 54

     s = 20

Answer:

to the nearest tenth)?

First, we need to find the volume of the cylinder. Since we have the height and are trying to find the radius, we can use the formula for the volume of a cylinder:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

We don't know the volume of the cylinder, but we can use the volume of the cone and the fact that the cone and cylinder share a base to find the radius. The volume of a cone is given by:

V = (1/3)πr^2h

where V is the volume, r is the radius, and h is the height.

We know that the height of the cone is 9 meters and its volume is 57 cubic meters, so we can set up an equation:

57 = (1/3)πr^2(9)

Simplifying, we get:

19 = πr^2

Dividing both sides by π and taking the square root, we get:

r ≈ 2.2

Therefore, the radius of the cylinder is about 2.2 meters (rounded to the nearest tenth).

Answer:

c and d

Step-by-step explanation:

it is a 2d object

so it can only be measured in 2 directions (up and side) it has no depth as it is 2 dimensional. and it is round and cannot have a point.

Answer:

D. It is a two-dimensional object.

The statement D is true about the figure above. The figure is a circle, which is a two-dimensional object.

Statement A is not true. A point is a location in space, but a circle is a shape that takes up space and has a defined area.

Statement B is not true either. A circle has only one measurement, which is its radius or diameter. The radius is the distance from the center of the circle to any point on its circumference, while the diameter is the distance across the circle through its center.

Statement C is also not true. A circle cannot "grow" into a three-dimensional object because it is a two-dimensional object that exists in a flat plane. However, multiple circles can be stacked on top of each other to form a cylinder, which is a three-dimensional object.

In the given equation, We can start by isolating the square root term on one side of the equation. The answer is {-2, 10}.

x + 6 - 9 = [tex]\sqrt{2x+29}[/tex]

Simplifying the left-hand side:

x - 3 = root(2x + 29)

Squaring both sides of the equation to eliminate the square root:

(x - 3)^2 = 2x + 29

Expanding the left-hand side:

[tex]x^2[/tex] - 6x + 9 = 2x + 29

Moving all the terms to one side of the equation:

[tex]x^2[/tex] - 8x - 20 = 0

We can now use the quadratic formula to solve for x:

x = (-b ± sqrt([tex]b^2[/tex] - 4ac)) / 2a

where a = 1, b = -8, and c = -20.

Substituting these values into the formula, we get:

x = (-(-8) ± sqrt([tex](-8)^2[/tex] - 4(1)(-20))) / 2(1)

Simplifying the equation:

x = (8 ± sqrt(144)) / 2

x = (8 ± 12) / 2

So, we have two possible solutions:

x1 = 10

x2 = -2

Thus, the answer is {-2, 10}.

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Equation that represents the total number of miles he runs after weeks is n * (n + 2).

The equation that represents the total number of miles Tripp runs after "n" weeks can be written as:

Total miles = 3 + 5 + 7 + ... + (2n + 1)

We can see that the first week Tripp runs 3 miles, and every week after that, he adds 2 more miles to the previous week's total. So, for the second week, he runs 3 + 2 = 5 miles, and for the third week, he runs 5 + 2 = 7 miles, and so on.

To simplify the equation, we can use the formula for the sum of an arithmetic series:

S = (n/2) * (a + l)

where S is the sum of the series, n is the number of terms in the series, a is the first term, and l is the last term.

In this case, the first term is 3, and the last term is (2n + 1), since Tripp is adding 2 miles each week. So, we have:

Total miles = (n/2) * (3 + 2n + 1)

Simplifying this equation, we get:

Total miles = (n/2) * (2n + 4)

Total miles = n * (n + 2)

Therefore, the equation that represents the total number of miles Tripp runs after "n" weeks is:

Total miles = n * (n + 2)

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The calculated possible value in the unit for M is 2 units

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

The composite figure

The volume of the figure is the sum of the volumes of the individual figures

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

Volume = 3 * 1 * 5 + m * 1 * 4

This gives

Volume = 15 + 4m

Karen calculated the total volume as 23 cubic units.

So, we have

15 + 4m = 23

Evaluate

4m = 8

Divide by 4

m = 2

Hence, a possible value of m is 2

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Answer:

The area of composite shapes is the area that is covered by any composite shape. The composite shape is a shape in which some polygons are put together to form a required shape. These shapes or figures can be made up of a combination of triangles, squares, quadrilaterals, etc.

explanation:

By the following steps mentioned below, we can calculate the area of the composite shapes.

Step 1: Break the compound shape into basic shapes.

Step 2: Find the area of each and every basic shape.

Step 3: Add all the areas of basic shapes together.

Step 4: Represent the answer in square units.

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