2 tons of mulch cost $11,800.00. What is the price per pound?

1. The velocity at time t , v(t) = (18t² + 3 ) m/s

2. The velocity at time t = 3 seconds = 165 m/s

3. The acceleration at time t, a(t) =( 36t )m/s²

4. The acceleration at time t = 3 seconds = 108 m/s²

The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

1. s(t) = 6t³ + 3t +9

to find the velocity at time t, we differentiate s(t)

= 18t² + 3

2. at t = 3s

= 18(3)² +3

= 165 m/s²

3. v(t) = 18t² + 3

to get the acceleration at time t, we differentiate v(t)

= 36t

4. when t = 3

a = 36 × 3

= 108 m/s²

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i hope i have been useful buddy.

good luck

Answer:

negative

Step-by-step explanation:

2+-6=-4

Answer:

Step-by-step explanation:

it will be negative  because the sum will take the sign of the bogger number

+2-6=-4

Answer:

x/7

Step-by-step explanatio

Answer:

6+9 I think so 6

Step-by-step explanation:

I think this is right, hope it helped!

Answer:

6

Step-by-step explanation:

First make an equation where x symbolises the bigger number.x-3 is the smaller one. Solve for x.

x+(x-3)=15

x+x-3=15

x+x=15+3

2x=18/:2

x=6

The length of the side 'х' is 79.20 units to two decimal places.

Angle is a two-dimensional figure that is formed by two straight lines intersecting each other. It can also be defined as the amount of rotation between two lines or planes. An angle is measured in degrees, with a full rotation being 360°.

The given triangle is a right-angled triangle as it has an angle of 64° which is a right angle. The angle 35° and 113 are the other two angles of the triangle. To find the length of the side 'х', we need to use the Pythagorean Theorem. The Pythagorean Theorem states that "the square of the hypotenuse is equal to the sum of the squares of the other two sides".
In this case, the hypotenuse is 113, and the other two sides are 'х' and the perpendicular side opposite to the angle of 35°. Therefore, using the Pythagorean Theorem, we can say:
113² = х² + (perpendicular side)²
Using the trigonometric ratio sine, we can calculate the length of the perpendicular side opposite to the angle 35°, which is equal to the sine of 35° multiplied by the hypotenuse.
(perpendicular side) = sin 35° × 113
Therefore, the equation for the triangle now becomes:
113² = х² + (sin 35° × 113)²
Simplifying the equation and solving for 'х' gives us:
х² = 113² - (sin 35° × 113)²
х = √(113² - (sin 35° × 113)²)
Finally, substituting the values, we get:
х = √(113² - (sin 35° ×113)²)
 = √(12,841 - (0.5736 × 113)²)
 = √(12,841 - 6,539.7808)
 = √6,301.2192
 = 79.20
Therefore, the length of the side 'х' is 79.20 units to two decimal places.

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Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.

To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.

The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).

Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.

However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).

Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.

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The total value of the furniture sold by Joyce last week is A = $ 6,733.33

Given data ,

Let's call the value of the furniture Joyce sold "x".

She receives 10% commission on the first $1,200 of sales, which is $120:

Commission on first $1,200 = 0.1 * 1200 = 120

The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:

Remaining sales = x - 1200

She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:

Commission on remaining sales = 0.15 * (x - 1200)

Her total earnings from commission last week was $950. So we can write an equation:

Commission on first $1,200 + Commission on remaining sales = $950

Substituting the expressions we found for the two commissions, we get:

120 + 0.15(x - 1200) = 950

120 + 0.15x - 180 = 950

On simplifying the equation , we get

0.15x - 60 = 950

0.15x = 1010

x = 6,733.33

Hence , the value of the furniture Joyce sold last week was $6,733.33

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The expression 2√2 is equivalent to 2.83.

A radical, or root, is the mathematical opposite of an exponent, in the same sense that addition is the opposite of subtraction. Mathematically -

\($\underbrace{\sqrt[n]{x} \times \sqrt[n]{x} \times \dots}_{n \text{ times}} = x\)

Given is the expression as -

2√2

We can write -

2√2 = 2\($(2)^{\frac{1}{2}}\)

2√2 = 2 x 1.414

2√2 = 2.83

Therefore, the expression 2√2 is equivalent to 2.83.

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The answer choice which must be true regarding the linear function is; The set must have a constant additive rate of change.

Since a linear function typically takes the slope-intercept form; f(x) = mx +c.

It therefore follows that the equation must have a constant slope m, which is the described additive constant rate of change.

It therefore follows that, the answer choice which is true regarding the linear function is therefore; The set must have a constant additive rate of change.

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Answer:

c

Step-by-step explanation:

Answer:

y=8x-34

Step-by-step explanation:

The measure of the arc or angle is:

m∠NLM = 60 deg

From the given figure, line LN is the diameter. Thus, the measure of arc LN is 180° (semicircle).

Thus, we can say:

arc NM + arc ML = 180°

(3x + 21) + (8x + 16) =  180°

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143/11

x = 13

arc NM = 8x + 16

put x = 13:

arc NM = 8(13) + 16 = 120°

Recall that:

The measure of inscribed angle is half the measure of its intercepted arc. That is:

m∠NLM = 1/2 * 120°

m∠NLM = 60°

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Answer: 7725.5775

Step-by-step explanation:

d=27

r=d/2=27/2=13.5

the volume of the spherical balloon= 3.14*r^3

                                                       = 3.14*(13.5)^3

                                                       = 7725.5775

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Answer:

$34,400

Step-by-step explanation:

35,500- 1,100= 34,400

A) $34,400 will the homeowner's insurance company pays for the damages

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

The homeowner's insurance company will pay for the damages after the deductible is subtracted from the claim amount.

In this case, the claim amount is $35,500 and the deductible is $1,100.

So, the insurance company will pay $35,500 - $1,100 = $34,400 for the damages.

Therefore, the answer is option A) $34,400.

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Answer:

I got 45, but I may be wrong.

Step-by-step explanation:

When a number is even, the number must end in an even number. Here, the even numbers are 4 and 6, so the numbers we are going to create are all going to end in 4 and 6.

To answer this question, we just have to find as many possible combinations following the guidelines provided.

334

344

354

364

374

434

444

454

464

474

534

544

554

564

574

634

644

654

664

674

336

346

356

366

376

436

446

456

466

476

536

546

556

566

576

636

646

656

666

676

736

746

756

766

776

the gray male kitties are 2

and male an female withe kitties are 3+5, so 8

the ratio is

Answer:

-2x^2  - 43x - 343 - 2393/x-7

Answer: xd O.o rawr lmasos

Step-by-step explanation:

T^T

Answer:

In 25 hours the worker will be able to make 115 parts.

Answer:

115

Step-by-step explanation:

Multiply 23 by 5 because 25/5=5

The volume of the two prisms compares that the volume of prism B will double.

We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:

V = B x h

So, the volume of the two prism A= V = B x h

V = 18 x h = 18h

the volume of the two prism B= V = B x h

V = 18 x 2h = 36h

So, the volume of prism B will double thus the correct option is B.

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The complete question is;

Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

How does the volume of the two prisms compare?

The volume of prism B will triple.

The volume of prism B will double.

The volume of prism B will decrease.

The volume of prism B will be cut in half.

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer: 1.6 in per hour

Answer:

hourly rate.

Step-by-step explanation:

As others have noted, it is a simple mathematical division problem (4/2.5) and the average is 1.6 inches per hour.

However, if this is for sizing civil works such as culverts or plumbing storm water drainage systems to mitigate flooding, the highest rate per hour must be known and usually the highest ten minutes rainfall rate expressed as an hourly rate.

For example, if 4.0 inches fell over that 2.5 hours, nothing says that a rain band did not dump 3 inches in the first hour, (3 inches per hour cumulative) or 0.75 inches in a ten minute period (4.5 inches per hour rate), with the remainder of the storm tapering off to lesser rates. So the average is correct, but the peak hour is much more important for practical purposes.

To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.

To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.

What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).

What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.

To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value

step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)

Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)

Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11

Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)

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After 4 hours the height of the both the candle is 6 cm

Tall candle:

Height = 16 cm

Let x be number of hours

Height that is burnt in 'x' hours = 2.5 *x = 2.5x

Height of the candle after 'x' hours (H) = 16 - 2.5x

When x = 1  ;   H = 16 - 2.5*1 = 16 -2.5  = 13.5 cm

         x = 2 ;   H = 16 - 2.5*2 = 16 - 5   = 11 cm

         x = 3 ; H = 16 - 2.5 * 3 = 16 - 7.5 = 8.5 cm

         x = 4 ; H = 16 - 2.5*4  =  16 - 10   = 6 cm

         x = 5 ; H = 16 - 2.5*5  =  16 - 7.5 = 3.5 cm

         x = 6 ; H = 16 - 2.5*6  =  16 - 15   = 1 cm

Short candle:

Height =12 cm

Let x be number of hours

Height that is burnt in 'x' hours = 1.5 *x = 1.5x

Height of the candle after 'x' hours (h) = 12 - 1.5x

When x = 1  ;   h = 12 - 1.5*1 = 12 - 1.5 = 10.5 cm

         x = 2 ;   h = 12 - 1.5*2 = 12 - 3 = 9 cm

         x = 3 ;   h = 12 -1.5*3  = 12 - 4.5 = 7.5 cm

         x = 4 ;   h = 12 -1.5*4  = 12 - 6   = 6 cm

         x = 5 ;   h = 12 -1.5*5  = 12 - 7.5 = 4.5 cm

         x = 6 ;   h = 12 -1.5*6  = 12 - 9 = 3 cm    

         x = 7 ;   h = 12 -1.5*7  = 12 - 10.5 = 1.5 cm

C)  Intersection point of the two equation is an ordered pair that is solution to both equations. Here, after 4 hours the height of the both the candle is 6 cm

Therefore, these two candles would ever reach the same height at the same time if allowed to burn the same length of time after 4 hours the height of the both the candle is 6 cm.

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The given ellipse has been drawn with the all required data.

a regular oval form produced when a cone is cut by an oblique plane that does not intersect the base, or when a point moves in a plane so that the sum of its distances from two other points remains constant.

As per the given equation,

16x² + 9y² - 32x + 36y - 92 = 0

(4x - 4)² + (3y + 6)² - 56 = 16 + 36

(4x - 4)² + (3y + 6)² = 108

16(x - 1)² + 9(y + 2)² = 108

(x - 1)²/(108/16) + (y + 2)²/(108/9) = 1

(x - 1)²/(108/16) + (y + 2)²/(12) = 1

The above is the equation of an ellipse with a center (1,-2).

The coordinates of the vertices are (1,1.464) and (1,-5.464).

Length of major axis = 2√12

Length of minor axis = 2√(108/16)

The value of c = √(a² – b²)

c = √(12 - 108/16)

c = 2.29

The coordinate of the foci is will be as,

F₁ = (-1.29,-2)

F₂ = (3.29,-2)

The value of the eccentricity e = c/a

e = 2.29/√(108/16)

e = 0.88

Domain = (-1.6,-2)

Range = (3.6,-2)

Hence "The supplied ellipse has been drawn using all necessary information".

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The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

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Answer:

8

Step-by-step explanation:

bResponses

y = 8

y, = 8

y = 3

y, = 3

y=−3

By making x the subject of the formula in this equation u = cos(0.5x)​ gives x = 2cos⁻¹(u).

In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.

In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.

By taking the arc cosine of both sides of the equation, we have the following:

u = cos(0.5x)

cos⁻¹(u) = 0.5x

By multiplying both sides of the mathematical equation by 2, we have the following:

2 × cos⁻¹(u) = 0.5x × 2

x = 2cos⁻¹(u)

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Answer:

Step-by-step explanation: .,