Randall has finished 35 of the minimum required pages for his term paper. He has currently written 21 pages. What is the number of pages he is required to write? Write an inequality that represents the problem. Solve the inequality. *

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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Starting with the given equation: 2 sin x cos x = cos x

By dividing both sides by cos x, we may simplify: 2 sin x = 1

Dividing both sides by 2:

sin x = 1/2

The values of x that fulfil sin x = 1/2 must now be found, and they are:

x = π/6 + 2πn or x = 5π/6 + 2πn, where n is any integer.

Therefore, the general solution is:

x = π/6 + 2πn or

x = 5π/6 + 2πn, where n is any integer.

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Answer:

Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars  

We have Lesley's purchase: 4x+2y=13.50

And Landon's: 1x+5y=17.55

We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55

We add this four times to Lesley's purchase to eliminate the x variable.

2y-20y=13.50-70.2

-18y=-56.7

y = $3.15 = Price of box of granola bars

Plug back into Landon's purchase to solve for pretzels.

x+5*3.15=17.55

x+15.75=17.55

x = $1.80 = price of bag of pretzels

Problem 4.

Let w = number of wood bats sold

Let m = number of metal bats sold

From sales information we have: w + m = 23

24w+30m=606

Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second.

24*(23-m)+30m=606

552-24m+30m=606

6m=54

m=9 = number of metal bats sold

Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.

Answer:

1\(\frac{4}{15}\) of straw

Step-by-step explanation:

The total amount of straw and hay together is, \(4 \frac{2}{3}\).

and the total amount of hay alone is, \(3\frac{2}{5}\)

All you need to do is subtract the hay from the total, which gives you, the answer above.

Answer:

x= - 1

y= 1

Step-by-step explanation:

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Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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Answer:

66

Step-by-step explanation:

the difference of 54 and 32 is 54 - 32 = 22

the difference of 8 and 5 is 8 - 5 = 3

then

22 × 3 = 66

Answer:

If f(x) = 2x + 2, to solve f(-1) we want to substitute -1 for x. So f(-1) = 2(-1) + 2 = -2 + 2 = 0

Step-by-step explanation:

The amount of money which Jan's remodel would cost is equal to $624.

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

Where:

Substituting the given points into the area of rectangle formula, we have the following;

Area of rectangle = 12 × 16

Area of rectangle = 192 square feet.

For the total cost, we have the following;

Total cost = Area of remodel × cost per square foot.

Total cost = 192 × 3.25.

Total cost = $624.

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Answer:

C

Step-by-step explanation:

I just did the test rn hopefully I came in time

Answer:

The ratios are not equal, so this is not a dilation.

Step-by-step explanation:

4/3 is the first ratio

3/4 is the second ratio

Since these ratios are not equal there is not a dilation.

Hence, \(-\frac{a}{\sqrt{ap-c} }\) is the derivative of \(x=b-\sqrt{ap-c}\).

Derivatives refers to the instantaneous rate of change of a quantity with respect to the other. That is, the amount by which a function is changing at one given point.

Given, \(x=b-\sqrt{ap-c}\)

To find \(\frac{dx}{dp}\):

⇒\(\frac{dp(b-\sqrt{ap-c)}}{dx}\)

⇒0- \(\frac{1}{2} (ap-c)^{-1/ 2} .\frac{d}{dp}(ap-c)\)

⇒\(-\frac{ a.dp/dp+\frac{d}{dp}(-c) }{2\sqrt{ap-c} }\)

⇒\(-\frac{a}{\sqrt{ap-c} }\)

Hence, \(-\frac{a}{\sqrt{ap-c} }\) is the derivative of \(x=b-\sqrt{ap-c}\).

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Answer:

  (a)  2.1π square inches

Step-by-step explanation:

You want the surface area of a 1.4 in diameter cylinder 0.8 inches high.

The surface area is the sum of the areas of the circular bases and the lateral area.

  A = 2(πr²) +(2πr)h

  A = 2πr(r+h) = πd(d/2 +h)

For d = 1.4 and h = .8, the area is ...

  A = π(1.4)(0.7 +0.8) = 2.1π . . . . square inches

The area of the wrap is about 2.1π square inches.

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Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

The triangle is obtuse because 11^2 + 21^2 does not equal 29^2.

The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side in order for the triangle to be a right triangle.

We can use this theorem to determine the type of triangle by calculating the square of the longest side (29^2), and then comparing it to the sum of the squares of the other two sides (11^2 + 21^2). Since 11^2 + 21^2 does not equal 29^2, the triangle is obtuse.

The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a triangle must equal the square of the longest side in order for the triangle to be a right triangle.

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Answer:

I think the answer is 3.

Step-by-step explanation:

First make arrow diagram of function f and g.

Then show it as composite function of fog(x) in arrow diagram.

Then in range you find -8 whose domain as x is 3.

Answer:

1776

Step-by-step explanation:

Answer:

y = -1/4x + 7/4

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (3 - 0)/(-5 - 7) = 3/(-12) = -1/4

using m = -1/4, y = 0 , x = 7

y = mx + b

0 = -1/4(7) + b

0 = -7/4 + b

b = 7/4

y = -1/4x + 7/4

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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Answer:

9 weeks

Step-by-step explanation:

Answer:

AB = 10.398

Step-by-step explanation:

By cosine rule, we have:

AB² = AC² + BC² - 2(AC)(BC)cos(ACB)

⇒ AB² = 7² + 10² - 2(7)(10)cos(73)

⇒ AB² = 49 + 100 - 140cos(73)

⇒ AB² = 149 - 140cos(73)

⇒ AB² = 149 - 140cos(73)

⇒ AB² = 149 - 140(0.292)

⇒ AB² = 149 - 40.88

⇒ AB² = 108.12

⇒ AB = √(108.12)

⇒ AB = 10.398

Answer

74+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

James is thinking of 6 miles as the total distance and 1/4 mile as one part of that distance. To find out how many parts of 1/4 mile he would have to walk to cover 6 miles, he needs to divide 6 by 1/4.

To perform this division, we need to remember that dividing by a fraction is the same as multiplying by its reciprocal.

The reciprocal of 1/4 is 4, so to divide 6 by 1/4, we multiply 6 by 4:

6 * 4 = 24

So, the quotient of 6 and 1/4 is 24.

The interest Raymond will pay this month is $54.98

What does APR mean?

APR means annual percentage rate, which means that since we are computing monthly interest, the annual rate which is the whole 12 months needs to be divided by 12 to ascertain the equivalent monthly interest rate

monthly interest=21.99%/12

What is the monthly interest amount in dollars?

The monthly interest amount in dollars is determined as the monthly interest rate multiplied by the credit card balance at the end of the month

monthly interest=$3,000*21.99%/12

monthly interest=$54.98

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Answer:

a = -2

Step-by-step explanation:

g(x) = 3/2x + 3

g(a) = 0

g(a) = 3/2a +3 =0

Subtract 3 from each side

3/2a +3-3=0-3

3/2a = -3

Multiply each side by 2/3

2/3 * 3/2a = -3*2/3

a = -2

Answer:

10441

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

1576/8=197

197 cellphones made per hour

197*53=10441

Answer:

10,441

Step-by-step explanation: