A sphere has a surface area of 160 square centimeters.which choice is the closest to its diameter use 3.14 to approximate pi.

Answer:

90

Step-by-step explanation:

37 and 41 is only in the 25% percentile.  

360 X .25 = 90

Plus, I took the K12 test and got it right.

The number of employees took a break that lasted between 37 and 41 minutes is 60.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We know that;

There are 360 employees in total and that they are evenly distributed along this plot. Therefore, we can divide 360 by the width of this plot to find how many employees are represented by one unit on this plot. The width of this plot is 58 - 34 = 24 units.

So, 360 / 24 = 15

This means that for every unit on this plot, there are 15 employees who took a break with that duration.

Now we can multiply this number by the width of the box to find how many employees took a break between 37 and 41 minutes. The width of the box is 41 - 37 = 4 units. So,

15 * 4 = 60

This means that there are 60 employees who took a break that lasted between 37 and 41 minutes.

Therefore, by the unitary method the answer will be 60 employees

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If the volume of a cylinder is multiplied by 4/3, it would become the volume of a sphere. Thus, you're a sphere.

Mathematically, the volume of a cone can be calculated by using this formula:

V = 1/3 × πr²h

Where:

Mathematically, the volume of a sphere can be calculated by using this formula:

V = 4/3 × πr³

Similarly, the volume of a cylinder can be calculated by using this formula:

V = πr²h

In this context, we can infer and logically deduce that if the volume of a cylinder is multiplied by 4/3, it would become the volume of a sphere. Also, multiplying the volume of a cylinder by 1/3 would produce the volume of a sphere.

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Answer:

X=16

Step-by-step explanation:

1/4x-1=3

1/4x=3+1

1/4x=4

(4)1/4x=4(4)

x=16

Answer: x = 16

After u shift the -1 to the other side it becomes positive so the u have to cross multiply the 4 the u get 16

The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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Answer:

-16

Step-by-step explanation:

3^2-7(3)-4

\(\dfrac 54 (x-2) +2x -4 = 9\\\\\implies \dfrac{5x-10}{4} +2x = 9 +4 \\\\\\\implies \dfrac{5x -10 + 8x}4 = 13\\\\\implies 13x -10 = 13 \times 4 =52\\\\\implies 13x = 52 +10 = 62\\\\\implies x = \dfrac{62}{13}\)

An x-y coordinate table is the appropriate table to use when graphing a piece of a function. This table helps you to determine the corresponding y-values for different x-values and plot the points on a graph.

To graph a piece of a function, you would typically use an x-y coordinate table, also known as a Cartesian coordinate system. This table consists of two columns: one for the x-values (also called the input values) and one for the corresponding y-values (also called the output values). Each row in the table represents a point on the graph.
To graph a piece of a function, you would need to identify the domain (the set of possible x-values) for that specific piece. Once you have the domain, you can choose values from that domain and calculate the corresponding y-values using the function.
For example, if you have a piece of a linear function, such as y = 2x + 3, you could create a table by choosing various x-values and calculating the corresponding y-values. Let's say we choose x-values of -2, 0, and 2. Plugging these values into the equation, we find the corresponding y-values: -1, 3, and 7.
So the table for this piece of the linear function would look like this:
x    |   y
--------------
-2  |  -1
0    |   3
2    |   7
Once you have the x-y coordinate table, you can plot the points on a graph and connect them to create the graph of the piece of the function.

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Answer: (f+g)(x)=x²-x-3

Step-by-step explanation:

(f+g)(x) means f(x)+g(x). Since we are given f(x) and g(x), we can add them together.

(f+g)(x)=2x-1+x²-3x-2                [combine like terms]

(f+g)(x)=x²-x-3

Now, we know that (f+g)(x)=x²-x-3.

Answer: B) as the x-values go to negative infinity, the functions values go to positive infinity.

Step-by-step explanation:

The graph on the right which is a graph of C is Option D. See the explanation below.

A graph is a graphic (such as a sequence of one or more points, lines, line segments, curves, or regions) that depicts the change of one variable in comparison to another.

What is the explanation for the above?

Note that the graph is calibrated at 25 per unit. Hence where x = 0, given the equation C(0) = 0.25x + 75

We have:

0.23 (0) + 75

Hence

C = 75

Tracing this back to the graph, by inference we see that the graph that depicts x as being on the x-axis with y on 75 is option D.

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Answer:

-1 6/10

is greater than

- 5/3

Step-by-step explanation:

Answer:

  an infinite number

Step-by-step explanation:

This equation has a graph that is a line. Every point on the line is a solution.

There are an infinite number of solutions.

Answer:

See below

Step-by-step explanation:

\(\left[\begin{array}{ccc}2&-8&22\\1&7&0\end{array}\right] \longrightarrow \left[\begin{array}{ccc}1&-4&11\\1&7&0\end{array}\right]\)

Above we have \(\dfrac{1}{2}\cdot R_1 \rightarrow R_1\)

Here we multiplied the first row by \(\dfrac{1}{2}\)

Then, \(R_2-1\cdot R_1 \rightarrow R_2\)

\(\left[\begin{array}{ccc}1&-4&11\\1&7&11\end{array}\right] \longrightarrow \left[\begin{array}{ccc}1&-4&11\\0&11&-11\end{array}\right]\)

Later, \(\dfrac{1}{11}\cdot R_2 \rightarrow R_2\)

\(\left[\begin{array}{ccc}1&-4&11\\0&11&-11\end{array}\right] \longrightarrow \left[\begin{array}{ccc}1&-4&11\\0&1&-1\end{array}\right]\)

Finally, \(R_1+4\cdot R_2 \rightarrow R_1\)

\(\left[\begin{array}{ccc}1&-4&11\\0&1&-1\end{array}\right]\longrightarrow \left[\begin{array}{ccc}1&0&7\\0&1&-1\end{array}\right]\)

Therefore, the complete process is

\(\left[\begin{array}{ccc}2&-8&22\\1&7&0\end{array}\right] \longrightarrow \left[\begin{array}{ccc}1&-4&11\\1&7&0\end{array}\right] \longrightarrow \left[\begin{array}{ccc}1&-4&11\\0&11&-11\end{array}\right]\)

\(\longrightarrow \left[\begin{array}{ccc}1&-4&11\\0&1&-1\end{array}\right] \longrightarrow \left[\begin{array}{ccc}1&0&7\\0&1&-1\end{array}\right]\)

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

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The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

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Answer:

n = 2

Step-by-step explanation:

\(n + 11 = 13\)

Subtract 11 from both sides to isolate n.

\(n + 11 - 11 = 13 - 11\)

\(n = 2\)

The value of the house 2 years from now is $276,480.

Option (C) is correct.

According to the question,

Cost of house last year = $  160000

Cost of house at present = $ 192000

The increase in the price of the house is calculated by finding the difference between the prices in two consecutive years.

Increment in cost = $ (192000-160000) =$ 32000

The rate of increment can be calculated by dividing the increment by the original price and then multiplying it by 100%.

Rate of increment = 32000/160000 * 100 =20%

Thus, the value of the house 2 years from now is calculated as:

=192000(1+20/100)(1+20/100)

=192000*120/100*120/100

= $ 276480

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Answer:

0

Step-by-step explanation:

forgotten sorry

a) The compounded amount in the account at the end of 1 year is $7,950.

b) The compounded amount in the account at the end of 2 years is $8,427.

Compound interest is the interest added to the principal amount after each period in order to compute the period's interest.

By compounding, we mean that accumulated interest is added to the principal to compute the subsequent interest.

Compound interest is unlike simple interest, which does not compound interest.

The compound interest formula is:

A = P(1 + r/n)^nt

A = Final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per time period

t = number of time periods elapsed

Since this investment is compounding annually, we can find the final amount at the end of each year using the common formula as follows:

A = P(1 + r)ⁿ

Principal = $7,500

Compound interest rate = 6%

Compounding period = Annually

Amount at the end of Year 1 = $7,950 ($7,500 x 1.06¹)

Amount at the end of Year 2 = $8,427 ($7,500 x 1.06²)

Thus, the compounded amount at the end of year 1 is $7,950 and $8,427 at the end of year 2.

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Answer:

38 remander 8

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Step-by-step explanation:

This is a circle with center, h,k = 3,2 and radius = 2

   circle equation is   ( x-h)^2 + (y-k)^2 = r^2

so:

(x-3)^2 + (y-2)^2 = 4

Answer:

There are 824 deer in the preserve.

Step-by-step explanation:

Since to determine the number of deer in a game preserve, a conservationist catches 412 deer, tags them and lets them loose, and later, 316 deer are caught, 158 of them are tagged, to determine how many deer are in the preserve you must perform the following calculation:

316 = 100

158 = X

158 x 100/316 = X

50 = X

50 = 412

100 = X

824 = X

Therefore, there are 824 deer in the preserve.

The number that has a 4 in the hundred places.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A 4 with a value ten times less than the 4 in the number 123,469.

First, the value of the 4 in the number 123,469 can be found by separating each digit as:

123,469 = 100,000 + 20,000 + 3,000 + 400 + 60 + 9

Then the value of the 4 is 400.

Now we want a number that has a 4 with a value then times less than 400. Then we have

400/10 = 40

Then we want a number that has a 4 in the hundred places.

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The length of the sides of triangle ABC are: 6, 8, and 12.

One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.

In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6

Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.

Hence, all three pairs of corresponding sides have the same proportion.

AB/DE = BC/EF = AC/DF = 1/2

Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.

ratio f sides : perimeter = 3 : 4 : 6 : 13

Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6

Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF

Length of the sides of triangle ABC are: 6, 8, and 12.

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