ASAP!! Find the length of side x in simplest form with a rational denominator

Answer:

Step-by-step explanation:

The volume of a cube is s^3

s = 3

Volume = 3*3*3

Volume = 27 cm^3

Answer:

see explanation

Step-by-step explanation:

the x- intercepts are the values of x where the graph crosses the x- axis

these occur at x = - 2 and x = 2

then x- intercepts are x = - 2 , x = 2

the y- intercept is the value of y where the graph crosses the y- axis

this occurs at y = 4

then y- intercept is 4

x intercept of a graph is the point(s) of the graph that intersects x-axis , y intercept of a graph is the point(s) of the graph that intersects y-axis .

x and y intersepts vary from graph to graph , a graph may have various x and y intersepts , a graph may have one x and y intersepts , or may don't have none of them , or may have only one of the intersepts

_______________________

In this graph

there are two x intersepts and one y intersept

x intersepts :

( 2 , 0 )

( -2 , 0 )

y intersept :

( 0 , 4 )

Answer:

See below!

Step-by-step explanation:

254, 202, 284, 269, 151, 258, 202

Mean of the data:

\(\displaystyle Mean= \frac{Sum \ of \ data}{number \ of \ data} \\\\Mean = \frac{254+202+284+269+151+258+202}{7} \\\\Mean=\frac{1620}{7} \\\\\boxed{Mean = 231.4}\)

Median of data:

Arrange the data in increasing order.

151, 202, 202, 254, 258, 269, 284

The middle value = 254

So,

Mode in data:

The mode, here, is 202. (occurring 2 times.)

So,

\(\rule[225]{225}{2}\)

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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To find the exact answer based on the last step, "\(2(3)^3+5\)", you must use PEMDAS (attached image below)

          \(2(3)^3+5=2*27+5=54+5=59\)

Thus the answer is 59.

Hope that helps!

Answer:

2b³ + 5 = 59

Step-by-step explanation:

Given information,

→ 2b³ + 5

→ b = 3

Let's solve the expression,

→ 2b³ + 5

→ 2(3)³ + 5

→ 2(27) + 5

→ 54 + 5 = 59

Hence, the answer is 59.

Answer:

360

Step-by-step explanation:

The area of the sector is 37.7 ft.

A sector is a region of a circle that is bounded by two radii and the arc of the circle that lies between the endpoints of those radii.

The formula for the area of a sector is given by

Where θ is the central angle in degrees, and r is the radius of the circle

Here we have

A circle has a radius of 4 ft.  

The central angle of sector formed = 270°

Using the formula, Area of sector = (θ/360°) × π r²

Area of the given sector = [ 270/360] × 3.14 × (4)²

= [0.75 ] × [50.24]

= 37.68 ft

= 37.7 ft

Therefore,

The area of the sector is 37.7 ft.

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Reason

Reflexive property

Statement

Reason

Diagonals of a rhombus bisect each other.

Statement

Reason

SS congruent theorem.

Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

Answer:

b.

Graph B

Step-by-step explanation:

We are given the following linear equation:

\(6x = y + 8\)

When x = 0:

\(6(0) = y + 8\)

\(y = -8\)

Thus, the line goes through (0,-8).

When y = 4:

\(6x = y + 8\)

\(6x = 4 + 8\)

\(6x = 12\)

\(x = \frac{12}{6} = 2\)

So also through (2,4).

Thus means that the correct answer is given by Graph B.

Answer:

a) The 99% confidence interval is interval B: 3.35 to 4.35

The 90% confidence interval is interval A: 3.55 to 4.15.

b) Check Explanation.

Step-by-step explanation:

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value is obtained from either the t-distribution or the z-distribution tables. It depends on sample size and for smaller sample sizes, whether there is information provided for the population mean and standard deviation.

But whether z-distribution or t-distribution, the critical value increases as the confidence level increases.

Hence, the critical value for the 99% confidence level will be higher than the critical value for the 90% confidence level.

And since all the other parameters that determine the confidence interval and it's width (sample mean and the standard error of the mean) are the same for the 90% and the 99% confidence interval, the larger critical value for the 99% confidence interval means that it has the bigger width.

Hence, of the two intervals given,

Interval A: 3.55 to 4.15

Interval B: 3.35 to 4.35

The larger interval, (3.35, 4.35) is the 99% confidence interval and the smaller interval, (3.55, 4.15) is the 90% confidence interval.

b) The data required for this second part isn't available, but the answer for the confidence interval can be obtained using the steps I have given above and below.

Like I have given above,

Confidence Interval = (Sample mean) ± (Margin of error)

Margin of Error = (Critical value) × (standard Error of the mean)

The sample mean and the standard error of the mean are obtained from the sample data (which is missing).

Sample mean = (Σx)/N

x = each variable

N = number of variables = 20

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation (obtained from the sample data)

90% critical value for sample size of 20 = 1.73

99% critical value for sample size of 20 = 2.86

Hope this Helps!!!

Answer:

A

Step-by-step explanation:

Hello!

The answer is attached with explanation. Please note me if you have any more questions.

Answer:

Letter A.

\( {f}^{ - 1} (x) = \frac{ x + 8}{9} \)

Answer:

9

Step-by-step explanation:

He would need to by 9 boxes. There might be some left over pencils.

Answer:

You are paying 0%, as your employer is paying the full price. 100% is equal to 1.

Answer:

Nothing

Step-by-step explanation:

100% of $7,200 leaves you to pay nothing ($0.00)

Answer:

Step-by-step explanation:

3:7 = ___: 49

3 : 7 = x : 49

x = 3 × 49 ÷ 7

x = 147 ÷ 7

x = 21

3 : 7 = 21 : 49  (your answer)

Answer:

The amount in 20 years is $6,050.24

Step-by-step explanation:

Given the following information:

Principal (Present Value, or PV)= $3,100

Interest rate ( r )= 3.4% or 0.034

Number of compounding period (n )= 1 (annually)

Number of years ( t )= 20

We can use the Future Value formula to find out the value of $3,100 in 20 years:

\(FV = PV(1 + \frac{r}{n})^{nt}\)

\(FV = 3100(1 + \frac{0.034}{1})^{1*20}\)

\(FV = 3100(1.034)^{20}\)

FV = 3100(1.95169)

FV = $6,050.24

Therefore, the future value of the amount deposited is $6,050.24

Answer:

72.54

Step-by-step explanation:

Use formula for trapezoid: a+b/2 * h

Answer:

y=2x+19

Step-by-step explanation:

Slope: 0-19/-9.5-0=-19/-9.5=2

y-intercept: 19

Answer:

y=2x+19

Step-by-step explanation:

Answer:

24 times greater

Step-by-step explanation:

48,000/2000

Answer:

-4/3, -1, 0, 2/3, 4/5, 6, 9. They were already in the correct order.

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer: -83, -84

Step-by-step explanation:

Let n= the smaller of the two integers, then

n+1 is the greater of the two integers. The sum of the two integers is:

n+(n+1)=-167

Combine like terms:

2n+1=-167

Subtract 1 from both sides:

2n=-168

Divide both sides by 2:

n=-84

Then n+1=-83

-84+-83=-167

Well if we know the total surface area of thr given triangular prism it would determine how much I need these points.

Answer:

dft

Step-by-step explanation:

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3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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Answer:

x = 57

Step-by-step explanation:

x−53 = 4

Add 53 to each side

x-53+53 = 4+53

x = 57

Answer:

x = 57

Step-by-step explanation:

x−53 = 4

x (- 53 + 53) = 4 + 53

x = 57

Answer:

where is your diagram?

Step-by-step explanation:

The shaded area is 9 parts of 10. so:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

Answer:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

Step-by-step explanation:

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer:

it is an increase because it is going up

Step-by-step explanation:

it is a 122.222% increase

Answer:

y = 3x

Step-by-step explanation:

A proportional function has the equation

y = kx, where k is the constant of proportionality and also the slope of the line.

Answer: y = 3x

The equation that represents the line whose slope of proportional relationship is 3 is; y = 3x.

The slope of the proportional relationship as given is 3.

However, the equation of the line which represents a proportional relationship usually takes the form; y = Mx.

Since, slope, m = 3.

The equation of the line is; y = 3x.

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