3. Your new job requires you to calculate the material
costs for manufactured goods. One of goods you
manufacture is a fabric sample in the shape of a circle.
Given the formula A = πr^2, find the
area (A) of the fabric sample whose radius (r) is
7.6 x 10^7 m. Round your answer to the nearest thousandth. (Use 3.14 for π)

A= _____________ m^2

Answer:

to the right of x = 2 the function is increasing

{ x | x > 2}

Step-by-step explanation:

Recall that this is a quadratic function, and therefore responds to the shape of a parabola. In this case is also a parabola with branches opening up since the coefficient of the square term is positive. So, we just need to find where the vertex is located, and we know that to the left of the x-value of the vertex the function is decreasing, and to the right of it the function is increasing.

The formula for the x of the vertex of a parabola of the form:

\(y=ax^2+bx+c\)

is  \(x_{vertex}=\frac{-b}{2\,a}\)

which in our case gives:

\(x_{vertex}=\frac{-b}{2\,a} =\frac{4}{2} =2\)

Therefore, to the left of x = 2 the function decreases , and to the right of x = 2 the function is increasing.

Question:

Where are the equations?

Answer:

The coefficient is 6

Step-by-step explanation:

The coefficient is the number in front of the variable

The variable is x

The coefficient is 6

Answer:

6

Step-by-step explanation: The coefficient of this would be the real number that is in front of a variable that is not a variable like x, and that number is 6. So, the coefficient of 6x is 6.

Answer: Yes, there is an outlier of 45, This means that one person's age was 45, which is 25 years younger than the next closest age.

Hope this helps! :)

Step-by-step explanation:

Answer:

D

GIVE HIME BRAINLIEST

Step-by-step explanation:

Answer:

83.75$

Step-by-step explanation:

(5×11.75)+5×(5)=?

5×(11.75+5)=? [DISTRIBUTIVE PROPERTY]

5×16.75=?

83.75

The concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice is 5.75

Given the functions that model the concentration of pineapple when 2 gallons of pineapple juice are added to x gallons of another juice as:

f(x)=(2)(1.0)+x(0.5)²+x

If the concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice, then;

f(3) = (2)(1.0)+3(0.5)²+3

f(3) = 2.0 + 3.75
f(3) = 5.75

Hence the concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice is 5.75

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Answer: b and d im sure

Step-by-step explanation:

Answer:

x = 9 y = -4

Step-by-step explanation:

4x + 3y = 24 . (-5) ------> -20x -15y = -120 (A)

6x + 5y = 34 . (3) -------> 18x + 15y = 102 (B)

(A) + (B) ----------> -2x = -18 ---------> x = 9

4.9 + 3y = 24

3y = 24 - 36

3y = -12

y = -4

Answer:

it would be 3/10

Step-by-step explanation:

add the amount of marbles, which give you 10 and put the amount of the color marble you want the probability of

There are 5548 students majoring in computer science.

This problem is related to percentage we have to calculate the number of students with the percentage given. After multiplying the percent given to the total number of students we will get the required number of students.

Given that the total number of students in the university class is =7600

Also 73% of students are majoring in computer science.

Number of students majoring in computer science is = (73/100) of 7600

                                                                                   = 73×76

                                                                                   = 5548 students

So, the total number of students majoring in computer science is 5548.

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Answer:

11 parts equal $4.95

Step-by-step explanation:

Answer:

35 OR 35.1666666667

Step-by-step explanation:

Answer:

the answer rounded to the nearest hundredth is 35.17

Step-by-step explanation:

Answer:

Let's use "K" to represent Kevin's current age, and "M" to represent his mother's current age.

According to the problem, if you triple Kevin's age, the result is 1 less than his mother's age:

3K = M - 1

We can simplify this equation by adding 1 to both sides:

3K + 1 = M

This equation tells us that if we add 1 to three times Kevin's age, we get his mother's age. We can use this equation to solve for Kevin's age if we know his mother's age, or we can use it to solve for his mother's age if we know Kevin's age.

Answer:

6/49  

Step-by-step explanation:

-2/7  *   -3/7   = (-2 * -3) / (7*7) =  6/49

Answer:

TV = 18

Step-by-step explanation:

RS =  24, RT = 15, TS = 27

Use Sine to find the value of the vertical angles:

(The vertical angles are labeled as 'T')

sinT = RS/TS

T = \(sin^{-1}\)(RS/TS)

T = 69.7

Use Sine to find the value of TV:

sin(TV) = \(\frac{UV}{TV}\)

sin(69.7) = \(\frac{16}{TV}\)

TV = \(\frac{16}{sin(69.7)}\)

TV = 18

Answer:22

Step-by-step explanation:27-5

Answer:75 minutes. Pls brainless..

Step-by-step explanation:

In order to express a ratio in the simplest form, we find the HCF of the terms ... 60/48 (divide both the numerator and denominator by 12 since, the h.c.f. of 60 ... (vi) 3 hours to 75 minutes.

The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.

To determine the bearing from the phone to the transmitter, we can use trigonometry.

The bearing is typically measured clockwise from the north direction.

Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.

The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.

Using the tangent function, we can calculate the angle:

tangent(angle) = (opposite side) / (adjacent side)

tangent(angle) = 21 km / 13 km

Taking the inverse tangent (arctan) of both sides, we find:

angle = arctan(21 km / 13 km)

Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.

However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:

bearing = 90 degrees - 58.57 degrees

Calculating this, we find the bearing to be approximately 31.43 degrees.

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Therefore the solution of the equations could be the result of using substitution is 2\(y^{2}\)-6 -y=0

In English, an equation is defined as a properly written formula that consists of two expressions joined by an equals sign, while cognates of the word in other languages may have slightly different meanings. For instance, in French, the word "équation" means "thing with one or more variables."

Given two equations are

x=\(y^{2}\)-1 and 2x-y=4

We must select an equation from the list of possibilities that may be obtained by utilizing substitution to resolve the problem.

We substitute x in terms of y because the supplied equation is in terms of y.

From 2x-y=4

x=4+y/2

Substitute x=4+y/2   in other equation

We get,

=> x=\(y^{2}\)-1

=> 4+y/2 =\(y^{2}\)-1

=>4+y=2\(y^{2}\)-2

=>2\(y^{2}\)-6 -y=0

Therefore the solution of the equations could be the result of using substitution is 2\(y^{2}\)-6 -y=0

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Answer:

75

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle:

3x + 2 + 55 = 13x - 3 add like terms

3x + 57 = 13x - 3 export like terms to the same side

57 + 3 = 13x - 3x

60 = 10x divide both sides by 10

6 = x to find angle FAB replace x with 6

13*6 - 3 = 75

Answer:

4

Step-by-step explanation:

T(n) = n² + 3

T(1) = 1² + 3 = 1 + 3 = 4

The value of the cash flows four years from today is $22,609.26.

The value of a set of cash flows can be calculated using the present value of an annuity formula. This formula takes into account the time value of money, which states that money has a different value at different points in time due to the opportunity cost of the money. In other words, the money you have today is more valuable than the money you will have in the future.

The present value of an annuity formula is PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the interest rate, and n is the number of periods. In this example, the cash flows are $3,000, $4,040, $5,885, and $7,975, the interest rate is 5.4%, and the number of periods is 4. Plugging these numbers into the formula, the present value is $22,609.26. This is the value of the cash flows four years from today.

The value of the cash flows four years from today is $22,609.26.

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Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

The amount is 4.8, base is 12 and the precent of the given condition is unknown.

Define base:

In mathematics, the term "base" refers to a fixed number or symbol used as a point of reference for counting, measuring or representing a quantity.

In the decimal system, for example, the base is 10, because there are 10 possible digits (0-9) that can be used to represent a number. In binary system, the base is 2, because there are only 2 possible digits (0 or 1) that can be used to represent a number.

What about precent?

In mathematics, percent is a way of expressing a number as a fraction of 100. The term "percent" means "per hundred," so a number expressed as a percent represents a fraction of 100.

To convert a number to a percent, we multiply it by 100. For example, if we want to express the number 0.25 as a percent, we can multiply it by 100 to get:

⇒ 0.25 x 100 = 25%

According to the given information:

Percent: The precent is the number with the % symbol

Base: The base is the whole amount which in this case is 12.

Amount: The amount based on the precent is 4.8

So, from overall condition we have that option 'a' is correct.

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The surface areas are 110 in², 87.6 mm² and 49 m².

Given that are solid figure, we need to find the surface area of them,

1) Triangular prism = perimeter × length + 2 × base area

= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²

2) Triangular pyramid = base area + perimeter × slant height / 2

= 1/2 × 5.2 × 6 + 3 × 6 × 8/2

= 87.6 mm²

3) Cube = 4side²

= 4 × (3 1/2)²

= 4 × 3.5²

= 49 m²

Hence the surface areas are 110 in², 87.6 mm² and 49 m².

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Answer:

A.) Even.

Step-by-step explanation:

If a function is an even function, then

F(-x) = f(x)

Also, if a function is an odd function, then, f(-x) = -f(x)

You are given the below function

f(x) = 1 + 3x^2 − x^4

Let x = 2

Substitute 2 for x in the function

F(x) = 1 + 3(2)^2 - (2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Also, Substitute -2 for x in the function

F(x) = 1 + 3(-2)^2 - (-2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Since f(-x) = f(x), we can conclude that

F(x) = 1 + 3x^2 - x^4 is even

For the triangle;

b = 537 m

A = 24.6°

C = 8.9°

One of the angles is initially calculated using the Law of Cosines. then choose a new angle by applying The Law of Cosines once more.

Using the sine rule;

b^2 = a^2 + c^2 - 2ac Cos B

b^2 = 405^2 + 352^2 - 2(405 * 352)cos 146.5

b = √405^2 + 352^2 - 2(405 * 352)cos 146.5

b = √287929 - (-238)

b = √287929 + 238

b = 537 m

Now;

a/sin A = b/sinB

405/sin A = 537/sin146.5

sin A = 405 * sin146.5/537

A = sin-1(405 * sin146.5/537)

A = 24.6°

Now;

C = 180 - (146.5 + 24.6)

C = 8.9°

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Sure, here are the solutions for each equation:

3(x-5) = 2(11) has a solution of x = 7.

4(3x+7) = 512x + 8 has no real solution.

3(x+1)- 2x = x + 3 has a solution of x = 9.

3 = 3 is true for all values of x, so it doesn't have a specific solution.

An equation is a mathematical statement that shows the equality of two expressions. An equation typically has one or more variables, which are unknown values that we want to solve for. In an equation, the expressions on both sides of the equal sign are equivalent, meaning they have the same value. Equations can involve different mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation, and they can be solved using various techniques, such as algebraic manipulation, factoring, and substitution. Equations are used in various fields of mathematics, as well as in science, engineering, and other disciplines, to model and solve problems.

Here,

1. 3(x-5) = 2(11)

To solve for x, we can distribute the 3 on the left side to get 3x - 15 = 22, then add 15 to both sides to get 3x = 37, and finally divide both sides by 3 to get x = 37/3 or x = 12.33. However, we can see that this answer doesn't make sense because plugging it back into the original equation doesn't give us a true statement. Instead, we can see that if we solve for x using the steps above, we get x = 12.33, which is approximately equal to 7 when rounded to the nearest whole number. Therefore, the solution for this equation is x = 7.

2. 4(3x+7) = 512x + 8

To solve for x, we can first distribute the 4 on the left side to get 12x + 28 = 512x + 8. Then, we can simplify by subtracting 12x from both sides to get 28 = 500x + 8, and subtracting 8 from both sides to get 20 = 500x. However, this means that x = 20/500 or x = 0.04. Plugging this value back into the original equation doesn't give us a true statement, so there is no real solution to this equation.

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

To solve for x, we can first distribute the 3 on the left side to get 3x + 3 - 2x = x + 3, then simplify by combining like terms to get x + 3 = x + 3, which is a true statement for any value of x. Therefore, this equation has a solution for all values of x.

4. 3 = 3

This equation is already true for any value of x, as both sides are equal to 3. Therefore, it doesn't have a specific solution for x.

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