Simplify.
3/4 squareroot -48

Answer:

$2075.75

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information;

rubber chips costs $52.50 per square foot

We need to find the area of the playground,

The length: 8ft

The width: 4 ft

=> the area of it is: 8*4 = 32 square foot.

The base: 3 ft

The height: 2 ft

=> the area of it is = 1/2*3*2 = 3 square foot.

The base: 3 ft

The height: 3 ft

=> the area of it is = 1/2*3*3 = 9/2 square foot.

=> the total area of the playground is: 32 + 3 + 9/2 = 39.5 square foot.

So the total cost to install the rubber chips is:

= 39.5 * $52.5

= $2075.75

Hope it will find you well.

The $2625 is the cost to install the rubber chips if each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

First, we find the area of the rectangle = (8+3)×4 = 44 square feet

Area of the two triangle = 2(1/2)[2×3] = 6 square feet

Area of the complete figure = 44+6 = 50 square feet

Each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.

Total cost = 50×52.50 = $2625

Thus, the $2625 is the cost to install the rubber chips if each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.

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Answer:

The reciprocal of an undefined slope is 0.

A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is

Given n(sample size) = 84

Population mean(μ) = 180

Standard Deviation(σ) = 36

Standard error of the mean = σx-bar = σ/√n = 36/√84 = 36/9.165 = 3.927

Standardizing the sample mean we have

Z = (x-bar - μ)/σx-bar = (x-bar - μ)/σ/√n

x-bar = 180

Z(x-bar=185 at point C) = (185 - 180)/3.927 = 5/3.927 = 1.273

Z(x-bar=181 at point D) = (181 - 180)/3.927 = 1/3.927 = 0.254

The area ABCD is the probability that the sample mean will lie between 181 and 185.

The shaded Area ABCD = (Area corresponding to Z = 2 or x-bar = 185) - (Area corresponding to Z = 1 or x-bar = 181)

Area corresponding to Z = 1.273 = 0.898

Area corresponding to Z = 0.254 = 0.598

The shaded Area ABCD = 0.898-0.598 = 0.300

Therefore the probability that the sample mean will lie between 181 and 185 is 0.300.

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Answer:

120 kids prefer video games

Step-by-step explanation:

60% is .60

multiply .60 by 200 to get your answer.

.60 × 200 = 120

Answer: First we have to check the information they are giving in the problem. do we can see that the photocopier can copy 4 pages every 2 seconds.

so with this info we can calculate the ratio, or the number of copies that can be done in one second:

So we made a rule of 3 to solve that

So, if the photocopier can print 2 copys every second, the we can calculate the the time that takes to print 120 pages:

solving this rule of 3:

so is going to take 60 seconds to copy 120 pages.

Answer:

Step-by-step explanation:

Given system of equations

Express the first equation as

Substitute the value of y into second equation

Solve for x

Find the value of y

Answer:

(-5, 9)

Step-by-step explanation:

Given system of linear equations:

\(\begin{cases}-2x-y=1\\-4x-y=11\end{cases}\)

To solve by substitution, use arithmetic operations to isolate y in Equation 1:

\(\implies -2x-y=1\)

\(\implies -2x-y+y=1+y\)

\(\implies -2x=1+y\)

\(\implies -2x-1=1+y-1\)

\(\implies y=-2x-1\)

Substitute the expression for y into Equation 2 and solve for x:

\(\implies -4x-(-2x-1)=11\)

\(\implies -4x+2x+1=11\)

\(\implies -2x+1=11\)

\(\implies -2x+1-1=11-1\)

\(\implies -2x=10\)

\(\implies -2x \div -2=10 \div -2\)

\(\implies x=-5\)

Substitute the found value of x into one of the equations and solve for y:

\(\implies -2(-5)-y=1\)

\(\implies 10-y=1\)

\(\implies 10-y+y=1+y\)

\(\implies 10=1+y\)

\(\implies 10-1=1+y-1\)

\(\implies y=9\)

Therefore, the solution to the given system of linear equations is (-5, 9).

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Answer:

w = 150t

Step-by-step explanation:

Since we already know the slope is 150, and the y intercept is 0

w = 150t +0

w = 150t

a) The degree of g(x) is 6.

b) The unique roots of the function is x = 0 , x = -2 , x = -5

c) The roots are x = 0, x = -2, and x = 5.

d) The root with multiplicity 1 is x = 0.

e) The root with multiplicity 2 is x = 5.

f) The root with multiplicity 3 is x = -2.

g)  The a-value is positive.

h) The graph of g(x) will have an upward trend in the long run.

i) The end behavior of g(x) as x tends to infinity is an upward trend

Given data ,

Let the function be represented as g(x)

where g( x ) = ( 3/2)x ( x + 2 )³ ( x - 5 )⁵

Now, the degree of the function g(x) is determined by the highest power of x in the expression.

So, degree = x ( x )³ ( x )² = x⁶

And ,the degree is 6.

b)

To find the unique roots of g(x), we set g(x) equal to zero and solve for x:

g(x) = ( 3/2)x ( x + 2 )³ ( x - 5 )⁵ = 0

Setting each factor equal to zero individually, we find the following roots:

x = 0

x + 2 = 0

So, x = -2

x - 5 = 0

So, x = 5

c)The roots of g(x) are the values of x that make g(x) equal to zero. In this case, the roots are x = 0, x = -2, and x = 5.

d) The root with multiplicity 1 is x = 0.

e) The root with multiplicity 2 is x = 5.

f) The root with multiplicity 3 is x = -2.

g) The "a-value" refers to the coefficient of the leading term in the function. In this case, the leading term is ( 3/2)x ( x + 2 )³ ( x - 5 )⁵. The coefficient of the leading term is (3/2). Since (3/2) is positive, the "a-value" is positive.

h) The positive "a-value" in the function indicates that as x tends to infinity, g(x) will also tend to infinity. This means the graph of g(x) will have an upward trend in the long run.

i) As x approaches negative infinity, g(x) will tend to negative infinity (downward trend).

As x approaches positive infinity, g(x) will tend to positive infinity (upward trend).

Therefore, the end behavior of g(x) as x tends to infinity is an upward trend.

Hence , the function is solved.

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Answer:

$1.25 is the answer in my opinion

Answer:

Each child should pay $1.25

Step-by-step explanation:

$1.35 * 50 = $67.5

$67.5/54 = $1.25

The round of number 371,883 to two significant digits is 370,000.

What are significant figures?

In positional notation, significant figures are digits in a number that are trustworthy and required to denote the amount of something.

For example,

Number 0.00698 contained three significant digits.

Number 102.0094 contains seven significant digits.

As per question,

Number 371,883 contained six significant digits.

Now convert this number to two significant digits as follows:

Number 371,883 rounded to five significant digits is 371,880

Similarly, rounded to four significant digits is 371,800.

Similarly, rounded to three significant digits is 371,000.

and similarly, rounded to two significant digits is 370,000.

Hence, The round of number 371,883 to two significant digits is 370,000.

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The highest frequency of any score in the histogram would be 5/20 = 0.25.

The score that has the highest frequency is 8. This is determined by counting the number of bars corresponding to each score. In this histogram, there are 5 bars corresponding to the score 8, which is the highest number compared to any other score.

Formulaically, we can calculate the frequency for each score by dividing the number of observations for that score by the total number of observations. For the score 8, this would be 5/20 = 0.25. This is the highest frequency of any score in the histogram.

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The distribution is a discrete probability distribution because the sum equals 1.

To determine whether or not the distribution is a discrete probability distribution, we need to check if the probabilities sum up to 1 and if all the probabilities are non-negative for every possible value of X. Also, the values of X must be countable.

Here, the given table represents the probability distribution of a discrete random variable X. Therefore, it is a discrete probability distribution.

The sum of probabilities is:

P(X = −1) + P(X = 3) + P(X = 5) = 0.05 + 0.38 + 0.57 = 1

and all the probabilities are non-negative.

Therefore, the distribution is a discrete probability distribution.

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Answer:

(6 - 2) / 3

Step-by-step explanation:

First, use parenthesis to declare that whatever is inside will be done first. This is saying to subtract 2 from 6. Next, add / 3 after to show you are dividing the answer of 6-2 by 3.

Therefore, the correct statistical decision is (b) reject the null hypothesis with either α = .05 or α = .01.

To determine the correct statistical decision, we need to compare the calculated F-ratio to the critical F-value based on the degrees of freedom and the chosen alpha level (α).

The degrees of freedom for the numerator (df between) is k - 1, where k is the number of conditions (k = 4 in this case). The degrees of freedom for the denominator (df within) is N - k, where N is the total sample size (N = 8 * 4 = 32).

Using a significance level of α = .05, we can consult an F-table or use statistical software to find the critical F-value with (k-1) and (N-k) degrees of freedom. For this case, the critical F-value is 3.10.

Since the calculated F-ratio (F = 4.60) is greater than the critical F-value (3.10) at α = .05, we can reject the null hypothesis and conclude that there are statistically significant mean differences among the four conditions.

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Answer:

god help you

Step-by-step explanation:

i think we should add all the ratio together.......

After solving the linear system of equations given, the result shows it has infinitely many solutions.

In mathematics, a collection of two or more linear equations containing the same variables is referred to as a system of linear equations. Here, one might say that linear equations are those of the first order, where the maximum power of the variable is 1. One variable, two variables, or three variables can all be included in a linear equation.

Systems of equations known as linear systems are those in which the variables are always multiplied solely by constants before being added together. Both static and dynamic relationships between variables are described by linear systems.

5x - y = 15 ...............(1)

-10x+2y=-30 ................ (2)

Now, multiply (1) by 2

10x - 2y = 30 ................. (3)

now, add the equation (2) from (3) we get

10x - 2y = 30

-10x + 2y = -30

0 = 0

that means we get infinitely many solutions.

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The complete question is as follows:

Use substitution to solve the linear system of equations.

5x-y=15

-10x+2y=-30

no solution (-15, -6)(-3,10)infinitely many solutions

The integral, when rewritten using the indicated order of integration, is ∫₀¹ ∫₀¹-y² ∫₀¹-x² dz dy dx, and the value of the resulting integral is 2/3.

To rewrite the given integral in the indicated order of integration, we integrate with respect to 'z' first, then 'y', and finally 'x'. The given integral is triple nested, and each integral has specific limits.

integrate with respect to 'z':

∫₀¹ ∫₀¹-y² (z ∣₀¹-x²) dy dx

∫₀¹ ∫₀¹-y² (1-x²) dy dx

integrate with respect to 'y':

∫₀¹ (y ∣₀¹) (1-x²) dx

∫₀¹ (1-x²) dx

(x - x³/3) ∣₀¹

evaluate the result:

(1-1/3) - (0-0) = 2/3

Thus, the integral rewritten and evaluated using the indicated order of integration is 2/3. However, this is not the final answer as we still need to perform one more integration with respect to 'y':

∫₀¹ (2/3) dy = (2/3) * (y ∣₀¹) = 2/3 * (1 - 0) = 2/3

Thus, the final result after evaluating all integrals is 2/3 * 1 = 2/3.

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Answer:

b. 1

Step-by-step explanation:

there is only one solution because:

√49= 7

or

7²= 49

The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.

Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:

Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.

Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.

It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.

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1) (a) The transformations that occur from the parent function are horizontal translation of 2 units to the left and vertical translation of 4 units to the down.

(b) (-2, -4)

(c) Graph is given below.

1) Given a function,

g(x) = (x + 2)² - 4

(a) Given a parent function p(x) = x².

We can write g(x) as,

g(x) = p(x + 2) - 4

So the transformation is horizontal translation of 2 units to the left and vertical translation of 4 units to the down.

(b) Vertex formula of a parabola is,

y = a (x - h)² + k, where (h, k) is the vertex.

Comparing the given function with vertex form,

Vertex of the parabola = (-2, -4)

(c) Graph of g(x) will be a parabola with vertex at (-2, -4).

It is given below.

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Answer:

(a) 1

(b) 1/2

(c) 1/2

Step-by-step explanation:

\(x^2 + y^2 = 5/8 (1)\\\frac{4}{3}xy = \frac{1}{4} (2)\\\\\textrm {From (2) by multiplying both sides by 3/4 we get}\\\\xy = \frac{3}{16} (3)\\\textrm{We know that } (x + y)^2 = x^2 + 2xy + y^2 \\\textrm{Adding 2xy to the LHS and RHS of equation 1 gisues us }\\x^2 + y^2 + 2xy = \frac{5}{8} + 2 * \frac{3}{16} = \frac{5}{8} + \frac{3}{8} = \frac{8}{8} = 1\)

\((x + y)^2 = 1 == > x+y = \sqrt{1} = 1\\\\(x - y)^2 = x^2 -2xy + y^2\\\\\textrm{Subtracting 2xy from both sides of Equation 1}\\x^2 + y^2 - 2xy = \frac{5}{8} - 2*\frac{3}{16} = \frac{5}{8} - \frac{3}{8} = \frac{2}{8} = \frac{1}{4} \\x-y = \sqrt{\frac{1}{4}} = \frac{1}{2}\\\\x^2 - y^2 = (x+y)(x-y) = 1 . \frac{1}{2} = \frac{1}{2}\)

Answer:

no it is not proportional

Answer:

No 3/9 would be proportional to 6/18

Step-by-step explanation:

I think

The slope of the table is 2

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

to determine the slope:

From the table, we have the following points:

(x,y) = (0, 4) and (1,7)

The slope is then calculated as:

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

Substitute known values

m = (7 - 4)/(1 - 0)

Evaluate the differences

m = 3/1

Divide

m = 2

Hence, the slope of the table is 2

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Answer:it is 16%

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

Answer:

x = -7 - 17/20 or -157/20

Step-by-step explanation:

2x/3 - 3.2 = -8.1

2x - 9.6 = -24.3

20x - 96 = -243

20x = -157

x = -157/20

x = -7 - 17/20

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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