What is the value of x in the triangle?
3√2
A. 3√2
B. S
C. 6
D. 6√2
E. 2√2

Answer:

What must be true

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(5n \ge 60 \rightarrow n \ge 12\)       (divided each side by 5)

0:  F    

12: T

15: T

64: T

only one sol: F

Answer: fourth choice

Step-by-step explanation:

Answer:

formula for circle is

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

so the answer is sixth

Answer:

The minimum sample size required for the estimate is 345.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

The standard deviation is known to be 1.8.

This means that \(\sigma = 1.8\)

What is the minimum sample size required for the estimate?

This is n for which M = 0.19. So

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(0.19 = 1.96\frac{1.8}{\sqrt{n}}\)

\(0.19\sqrt{n} = 1.96*1.8\)

\(\sqrt{n} = \frac{1.96*1.8}{0.19}\)

\((\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2\)

\(n = 344.8\)

Rounding up to the next integer:

The minimum sample size required for the estimate is 345.

Answer:

200 pounds

Step-by-step explanation:

4 televisions weigh 160 pounds

1 television weigh 40 punds

5 televisions weigh 200 pounds

Answer:

Logically 200 lbs

Step-by-step explanation:

160/4 = 40

1TV = 40 lbs

40 * 5 = 200

200lbs...

Answer:

Each bottle cost $0.20.  That is the unit rate

Step-by-step explanation:

\(\frac{5.00}{25}\)

The reason that the point (3, 5) is not a solution to the given inequality is given below.

We are given that;

y > 2x + 1

Now,

The inequality y > 2x + 1 can be graphed by first graphing the boundary line y = 2x + 1. Since the inequality is strict (y >), we draw a dashed line to indicate that points on the line are not solutions to the inequality. Then, we shade the region above the line to indicate all points that satisfy the inequality.

If we have (3,5) as a point, we can see that it lies on the boundary line

y = 2x + 1.

Since the inequality is strict (y >), points on this line are not solutions to the inequality

Therefore, by the inequality the answer will be given above.

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Answer:

30 paperclips were still on the floor.

Step-by-step explanation:

First, we need to make sure that both of the fractions have the same denominator so that they will be measured on the same scale. 2/5 -> will be 4/10 when multiplied by 2. Now we calculate how many paperclips were picked up. 4/10 + 3/10 = 7/10 which means that 70 paperclips were picked up because 7/10's of a 100 is 70. Next we find the paperclips on the floor 10/10-7/10 = 3/10 or 30 paperclips.

Answer:

\(\displaystyle \frac{75}{2}\) or \(37.5\)

Step-by-step explanation:

We can answer this problem geometrically:

\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)

Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.

Answer:

\(\dfrac{75}{2}\)

Step-by-step explanation:

The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.

\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)

The given definite integral is:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)

This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.

Notice that the function touches the x-axis at x = 3.

Therefore, we can separate the integral into two areas and add them together:

\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)

The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.

The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.

Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:

\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)

Answer:

whut

Step-by-step explanation:

Answer:

The grinding of the material

Step-by-step explanation:

Answer:

Rolling friction

The building's net monthly income is Rs 396.36.

The estimated yearly rent is Rs. 5800.

90% of the rent is subject to tax because 10% is exempt from tax for repairs, maintenance, etc.

9/10 of Rs. 5800 equals Rs. 5220

The following taxes are applicable to the remaining rent of Rs 5220:

10.5% of Rs. 5220 equals Rs. 548.10 in general tax.

7.25% of Rs. 5220 equals Rs. 378.15 for water tax.

Cleaning fees: 2.25 percent of Rs. 5220 equals Rs. 117.45

Rent taxes total: Rs. 548.10, Rs. 378.15, Rs. 117.45, or Rs. 1043.70.

Rent less total taxes equals the building's net yearly income:

5800 Rs - 1043.70 Rs = 4756.30 Rs

To find the net monthly income, we divide the net yearly income by 12:

Rs 4756.30 / 12 = Rs 396.36 (approx.)

Therefore, the net monthly income from the building is approximately Rs 396.36.

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Answer:

\(x2=\frac{y2-y1}{m} +x1\)

Step-by-step explanation:

Step 1: Multiply both sides by (x2-x1)

m(x2-x1)=y2-y1

Step 2: Divide both sides by m

x2-x1=(y2-y1)/m

Step 3: Add x1 to both sides

\(x2=\frac{y2-y1}{m} +x1\)

The formula for determining the strength of a negative association between two variables is Pearson's Correlation coefficient (r).

This coefficient measures the degree of linear relationship between two variables and ranges from -1 to +1. If two variables have a negative association, the correlation coefficient will be negative.

For example, let's say we are looking at the relationship between daily consumption of donuts (dd) and daily temperature (tt). To calculate the Pearson's Correlation coefficient, we would first calculate the covariance of the two variables using the following formula:

Cov(dd,tt) =  (∑ (dd - dd_mean) * (tt - tt_mean)) / n

Next, we would calculate the standard deviation of both variables using the following formula:

Stdev_dd = √(∑ (dd - dd_mean)^2/n)

Stdev_tt = √(∑ (tt - tt_mean)^2/n)

Finally, we would calculate the Pearson's Correlation coefficient using the following formula:

r = Cov(dd,tt) / (Stdev_dd * Stdev_tt)

If r is close to -1, then this indicates a strong negative association between dd and tt.

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Answer:

33

Last answer: 28

sorry I didn't read it properly

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

18 + 10 sorry this is wrong its 33 my bad

Answer:

82%,170%,65%

Step-by-step explanation:

65% of 80=52

82% of 50=41

170% of 30=51

Answer:

y= 6-5x

Step-by-step explanation:

'less' means subtraction (-)

hope this helps!!!

Answer:

5x - 6 = y

Step-by-step explanation:

I wrote 5x - 6 = y because when I hear the expression algebraic, I put an y as the variable. And 'less than' is referring to subtraction. Thus, I wrote 5x - 6 = y.

The slope of the line that contains the points (1,-9) and (-3,3) is -3 when the slope is y₂-y₁/x₂-x₁.

Given that,

We have two points they are (1,-9) and (-3,3).

We have to find the slope of the line that contains the points.

We know that,

The slope or steepness of a line is determined using the slope formula. It may be used to calculate any line's slope by comparing the change in the y-axis to the change in the x-axis. The slope of a line is the ratio of the change in the line's "y" coordinate to the change in its "x" coordinate.

Slope = y₂-y₁/x₂-x₁

So,

The points (1,-9) and (-3,3).

Slope = 3-(-9)/-3-1 = 3+9/-3-1 = 12/-4 = -3

Therefore, The slope of the line that contains the points (1,-9) and (-3,3) is -3 when the slope is y₂-y₁/x₂-x₁.

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Answer:

The answer here would be D.

Step-by-step explanation:

When looking at the angle you can see that it is a straight line with a intersecting line. This tells you that you will have supplementary angles, or angles that add up to 180 degrees.

You can only have supplementary angles when they are on either side of a straight line that has been intersected.

Since supplementary angles have to add up to 180 degrees, and you already know that one part of the current supplementary angles is 50 degrees, you can do the math,

180-50=130

To get your answer of D. 130

Answer:

it's 3

Step-by-step explanation:

The slope is rise/run, so up 3, over 1.

\(\left(\frac{x^{-5}y}{y^3} \right)^{-1} \\ \\ =\frac{y^3}{x^{-5}y} \\ \\ =\frac{y^2}{x^{-5}} \\ \\ =\boxed{x^5 y^2}\)

The numerical value of x in the similar pair of triangle is 10.

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

From the diagram,

Side A of the small triangle = 10

Side B of the small triangle = x + 2

Side A of the Big triangle = 10 + x

Side B of the big triangle = x + 14

Hence;

Ratio of Side A to Side B of the small triangle = 10 / x + 2

Ratio of Side A to Side B of the Big triangle = 10 + x / x + 14

Since the triangle area similar, equate the two ratio and solve for x.

10 / ( x + 2 ) = ( 10 + x ) / ( x + 14 )

Cross multiply

10( x + 14 ) = ( 10 + x )( x + 2 )

Expand using FOIL method

10x + 140 = 10x + 20 + x² + 2x

10x + 140 = x² + 12x + 20

x² + 12x + 20 = 10x + 140

x² + 12x + 20 - 10x - 140 = 0

x² + 2x - 120 = 0

Factor the left side of the equation

( x - 10 )( x + 12 ) = 0

Hence;

x - 10 = 0 and x + 12 = 0

x = 10 and x = -12

Since the dimension of the triangle cannot be negative,

x = 10

Therefore, the value of x is 10.

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Answer:

4

Step-by-step explanation:

A mode is the number having the highest frequency, that is, the number which occurs the most times. (The number which occurs the most here is 4, there are two 4s. You only have one of the rest of the numbers.)

Answer:

Table in option C represents the linear relationship as the equation, \( y = 2x + 6 \)

Step-by-step explanation:

The equation given seems to be wrong. The equation should be \( y = 2x + 6 \), because, taking a look at the tables given, the table in option C is the only table that has values that conforms to the equation, \( y = 2x + 6 \).

In table C, when x = 2 using the equation, \( y = 2x + 6 \), thus,

\( y = 2(2) + 6 = 4 + 6 = 10 \).

When x = 3,

\( y = 2(3) + 6 = 6 + 6 = 12. \)

Theredore, the equation, \( y = 2x + 6 \), represents the relationship between the X and y variables in the table in option C.

Answer:

x⁵/³y

Step-by-step explanation:

x⁵/³y is equivalent to ³✓x⁵y.

Answer:

40

Step-by-step explanation:

8: 8, 16, 24, 32, 40

5: 5, 10, 15, 20, 25, 30, 35, 40

They have 40 in common so that's the lcd.

The denominator of both fractions are 8 and 5 so the lowest common multiple or common denominator will be 40.

The lowest common multiple is the smallest multiple which is common between any two numbers.

It means we can divide both numbers by that and that is the smallest number by which both dived.

For example, LCM of 2 and 8 is 8.

As per the given fractions, 1/8 and 9/5

The multiple of 8 = 8,16,24,32,40

Multiple of 5 = 5,10,15,20,25,30,35,40

Common lowest multiple = 40

Hence "The denominator of both fractions are 8 and 5 so the lowest common multiple or common denominator will be 40".

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Graph of the question is missing so I have attached it

Answer:

Option A: Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1

Step-by-step explanation:

1) The axis of symmetry of quadratic graph is the vertical line that divides the graph curve into two congruent halves. In this case, it is: x = -0.5

2) Vertex is the point at which the graph curve changes direction or simply coordinates of the crest or trough of the curve.

The graph given has a trough with the coordinates: x = -0.5, y = 0.75. This is (-0.5, 0.75)

3) The roots of a quadratic equation are the points where the curve crosses the x-axis. In this case, it doesn't cross and so we have imaginary roots.

Now, formula for line of symmetry is; x = -b/2a

Thus; -b/2a = -0.5 or -b/2a = -1/2

Thus, b = 1 and a = 1

Our first and second terms will now be;

x² + x

Looking at the options, the only one with x² + x as it's first 2 terms is option A.

Thus, the complete equation will be x² + x + 1