Sorry disturbing you all
but can somone explain this?

The estimate that is reasonable is 42.9 x 101 = 4,300, while 1,109 x 71 = 77,700 is not a reasonable estimate

The expressions from the question are given as

1,109 x 71 = 77,700

42.9 x 101 = 4,300

From the question, we are to make use of estimates

This means that we have the following approximation

1109 = 1100 and 71 = 70

42.9 = 43 and 101 = 100

Next, we estimate the products using approximated values

So, we have

1,109 x 71 = 1100 x 70

42.9 x 101 = 43 x 100

Evaluate the products

1,109 x 71 = 77000

42.9 x 101 = 4300

This means that

1,109 x 71 = 77,700 --- reasonable

42.9 x 101 = 4,300 -- not reasonable

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Answer:

Step-by-step explanation:

\begin{align*}

T_{1,1} &= \frac{1}{2} (f(0) + f(1)) \\

&= \frac{1}{2} (1 + \frac{1}{2}) \\

&= \frac{3}{4}

\end{align*}

Now, for two subintervals:

\begin{align*}

T_{2,1} &= \frac{1}{4} (f(0) + 2f(1/2) + f(1)) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \left(\frac{1}{2}\right)^2}\right) + \frac{1}{1^2}\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \frac{1}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{\frac{5}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \cdot \frac{4}{5} + 1\right) \\

&= \frac{1}{4} \left(1 + \frac{8}{5} + 1\right) \\

&= \frac{1}{4} \left(\frac{5}{5} + \frac{8}{5} + \frac{5}{5}\right)

\end{align*}

Thus, the approximate value of the integral using Romberg's method is T_2,1, and this can also be used to obtain an approximate value of π.

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From the inequality graph, the solution to the inequalities is: (4, -2/3)

There are different tyes of inequalities such as:

Greater than

Less than

Greater than or equal to

Less than or equal to

Now, the inequalities are given as:

y < (1/3)x - 2

x < 4

Thus, the solution to the given inequalities will be gotten by plotting a graph of both and the point of intersection will be the soilution which in the attached graph we see it as (4, -2/3)

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Answer:

y=4x

Step-by-step explanation:

Answer:

(4,16) and the y is just 16

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

-5(y-2)-7y

-5y-10-7y

+7y +7y

answer: 2y-10

Answer:

A. (-12y+10)

Step-by-step explanation:

-5(y-2) - 7y can be simplified to:

-5y + 10 - 7y when you factor the parenthesis.

If you add the y's together, the answer should be:

-12y + 10.

.

Answer:

wwwwwwwwwwwwwwwwwwww

In response to the question, we may say that  As a result, the angle of trigonometry inclination of the ramp is 4 degrees, to the closest degree.

The area of mathematics called trigonometry examines how triangle side lengths and angles relate to one another. The subject first came to light in the Hellenistic era, about in the third century BC, as a result of the use of geometry in astronomical investigations. The area of mathematics known as exact techniques deals with several trigonometric functions and possible computations using them. There are six common trigonometric functions in trigonometry. These go by the designations sine, cosine, tangent, cotangent, secant, and cosecant, respectively (csc). Trigonometry is the study of triangle characteristics, particularly those of right triangles. Consequently, studying geometry entails learning about the characteristics of all geometric forms.

The ratio of an angle's opposing side (such as the rise of a ramp) to its adjacent side is known as the tangent (the length of the ramp).

Angle's tangent is equal to its opposite and adjacent sides.

In this instance, the ramp's opposite side represents its 3/4-foot rise, and the ramp's adjacent side is its 12-foot length.

Angle's tangent is equal to 3/4 / 12 (or 0.0625).

We may take the inverse tangent (or arctangent) of this number to determine the angle itself.

Amount = arctan (0.0625)

Calculating the answer, we obtain:

Angle is 3.58 9 degrees.

When we convert this to degrees, we get:

a 4 degree angle

As a result, the angle of inclination of the ramp is 4 degrees, to the closest degree.

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Answer:

The domain would include all the real values except \(x = 2\) and the x for which \(v(x) = 0\).

Hence, the restrictions would be:

and

Step-by-step explanation:

Given

The domain of u(x) is the set of all real values except 0.

so

domain = (-∞, 0) U (0, ∞)

The domain of v(x) is the set of all real values except 2.

so

domain = (-∞, 2) U (2, ∞)

For the function composed function (u circle v) (x), we need to apply first the function \(v(x)\)  whose argument is (x), and then the function \(u (v(x) )\) whose argument is \(v(x)\).

Please note that the domain of the composed function (u circle v) (x) must have to take into account the values for which both functions u(x) and v(x) are defined.

Therefore, the domain would include all the real values except \(x = 2\) and the x for which \(v(x) = 0\).

Hence, the restrictions would be:

and

Answer:

c

Step-by-step explanation:

edge 2020

Answer:

5

Step-by-step explanation:

3+3+4+5+6+7+7 = 35

35/7 = 5

The mode of the survey results is 6 hours, as this was the most commonly reported number of hours of video games played in the previous week.

The mode of the survey results is the most frequently occurring number of hours of video games played in the previous week. In this survey, the most commonly reported number of hours played was 6. This is because 9 students reported playing 6 hours of video games in the previous week, which is the highest number of students reporting any single amount of hours played. The other numbers of hours played were reported less often, with 2 students reporting 5 hours, 4 students reporting 2 hours, 2 students reporting 1 hour, and 3 students reporting 0 hours. Therefore, the mode of the survey results is 6 hours.

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Answer:

4. 4/3

Step-by-step explanation:

(-2, -3)   (1,1)

1+3/1+2=

4/3

Answer:

700 ounces

Step-by-step explanation:

if the gold weighs 2x as much as the silver

you just do 350 x2

350 x2 = 700

60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Three of the five basketball players scored more than 10 points.

Total number of basketball players = 5

The number of players who scored more than 10 points = 3

In fraction:

= 3/5

= 0.6

To convert the above fraction into the percentage multiply it by 100:

= 0.6x100

The percent of the players scored more than 10 points = 60%

Thus, 60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.

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Answer:

It's either C or B but I'm mostly going for C cause some of them have dots in the middle and some exactly on the line so if I were you I would choose C but if you want a different answer then choose B but I'd do C.

Hope this help biiiieee

Answer:  the correct answer is 2m = 32

Step-by-step explanation:  If Greg earned $32 for washing cars and that was twice as much for mowing lawns, then you will need to divide that amount by 2 to find out what was made.

2m = 32

Divide each side by 2:

2m/2 = 32/2

m = 16

The amount for mowing lawns = $16

Answer:

Determine which equation is false, based on the solution set S:{4}.

3t = 12

3m + 7 = 14

4(4c + 1) = 68

9 = 5p − 11

Step-by-step explanation:

Answer: 65x + 325y = 550

1 1⁄3

Step-by-step explanation:

In order to find how far was she from her destination

We substract 4 2⁄3 from 3 1⁄3

=> 4 2⁄3 - 3 1⁄3

=> 1 1⁄3 (Decimal: 1.333333)

Answer:

1 1/3 miles

Step-by-step explanation:

2-1

4 2/3-3 1/3= 1-----------

3

=1 1/3miles

Answer:

Step-by-step explanation:

C and D are false.  The events are not independent becuase getting 2 greens in a row means, She must get a green AND THEN get another green.  AND THEN means getting the second green is dependent on on getting the first.

B is false.    Lets say you take a green out, and it's out of the bag and stays out.  There is 1 less green to choose from so it's not less likely you will get another green.  But if you put it back then you odds are a little better.  So putting it back matters

A is true, As explained for B, odds are better when you put it back.

Answer:

Step-by-step explanation:

slope= y2-y1 / x2-x1

= -2-5 / 2-3

= -7 / -1

= 1

The sampling distribution of the sample mean is the probability distribution of the mean of the sample.

The sampling distribution of the sample mean is the probability distribution of the mean of the sample. This distribution is important because it allows us to make inferences about the population mean based on the sample mean. The distribution is also important because it allows us to quantify the variability of the sample mean.

The mean of the sampling distribution is equal to the population mean. This is because the mean is a measure of central tendency and the sampling distribution is a representation of the population.

The standard deviation of the sampling distribution is equal to the population standard deviation divided by the square root of the sample size.

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To find the number of vinyl tiles needed to tile a kitchen measuring 24 ft. by 18 ft. with tiles measuring 8 in. each side, we need to convert all measurements to the same units.

First, we need to convert the kitchen measurements from feet to inches:

- 24 ft. = 24 x 12 = 288 in.
- 18 ft. = 18 x 12 = 216 in.

Next, we need to divide the length and width of the kitchen by the length of each tile to find the number of tiles needed in each direction:

- Length: 288 in. ÷ 8 in. = 36 tiles
- Width: 216 in. ÷ 8 in. = 27 tiles

Finally, we multiply the number of tiles needed in each direction to find the total number of tiles needed:

- Total tiles: 36 tiles x 27 tiles = 972 tiles



To tile a kitchen, it is important to accurately calculate the number of tiles needed to ensure that there is enough material to complete the job. In this case, we converted all measurements to the same units and then used division and multiplication to find the total number of tiles needed.



To tile a kitchen measuring 24 ft. by 18 ft. with vinyl tiles measuring 8 in. each side, we need a total of 972 tiles.

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The lines y = 2 and x = 4 are neither parallel nor perpendicular.

The given lines are y = 2 and x = 4.

The line y = 2 is a horizontal line because the value of y remains constant at 2, regardless of the value of x. This means that all points on the line have the same y-coordinate.

On the other hand, the line x = 4 is a vertical line because the value of x remains constant at 4, regardless of the value of y. This means that all points on the line have the same x-coordinate.

Since the slope of a horizontal line is 0 and the slope of a vertical line is undefined, we can determine that the slopes of these lines are not equal. Therefore, the lines y = 2 and x = 4 are neither parallel nor perpendicular.

Parallel lines have the same slope, indicating that they maintain a consistent distance from each other and never intersect. Perpendicular lines have slopes that are negative reciprocals of each other, forming right angles when they intersect.

In this case, the line y = 2 is parallel to the x-axis and the line x = 4 is parallel to the y-axis. Since the x-axis and y-axis are perpendicular to each other, we might intuitively think that these lines are perpendicular. However, perpendicularity is based on the slopes of the lines, and in this case, the slopes are undefined and 0, which are not negative reciprocals.

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The implicit equation we found was -5x + 6y + 7z - 51 = 0.

To get the implicit equation for the plane passing through the points (2,3,2),(-1,5,-1), and (4,4,-2), we can use the following steps:

Step 1:

To find two vectors in the plane, we can subtract any point on the plane from the other two points. For example, we can subtract (2,3,2) from (-1,5,-1) and (4,4,-2) to get:

V1 = (-1,5,-1) - (2,3,2) = (-3,2,-3)

V2 = (4,4,-2) - (2,3,2) = (2,1,-4)

Step 2:

To find the normal vector of the plane, we can take the cross-product of the two vectors we found in Step 1. Let's call the normal vector N:

N = V1 x V2 = (-3,2,-3) x (2,1,-4)

= (-5,6,7)

Step 3:

To find the equation of the plane using the normal vector, we can use the point-normal form of the equation of a plane, which is:

N · (P - P0) = 0, where N is the normal vector, P is a point on the plane, and P0 is a known point on the plane. We can use any of the three points given in the problem as P0. Let's use (2,3,2) as P0.

Then the equation of the plane is:-5(x - 2) + 6(y - 3) + 7(z - 2) = 0

Simplifying, we get:

-5x + 6y + 7z - 51 = 0

The equation we found was -5x + 6y + 7z - 51 = 0.

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The arc length of the curve x = 1/3 (√y)(y - 3) on the interval 1 ≤y ≤ 9 is exactly √2.

To find the arc length of the curve x = 1/3 (√y)(y - 3) on the interval 1 ≤y ≤ 9, we use the formula for arc length:

L = ∫[a,b] √(1 + (dy/dx)^2) dx

where a and b are the endpoints of the interval and dy/dx can be found by differentiating x with respect to y:

dx/dy = (√y - (3/2)√y)/(2√y) = (1/2)√y - (3/4)

Squaring and simplifying, we get:

1 + (dx/dy)^2 = 1 + y/4 - (3/2)√y + 9/16

Substituting into the arc length formula, we get:

L = ∫[1,9] √(1 + y/4 - (3/2)√y + 9/16) dy

To evaluate this integral, we make the substitution u = √y:

L = ∫[1,3] 2u√(1 + u^2/4 - (3/2)u + 9/16) du

We can simplify the expression under the square root by completing the square:

1 + u^2/4 - (3/2)u + 9/16 = (u/2 - 3/4)^2 + 1/16

Substituting back into the integral and simplifying, we get:

L = ∫[1,3] 2u√[(u/2 - 3/4)^2 + 1/16] du

= ∫[1,3] √(4u^2 - 12u + 13/4) du

= ∫[1,3] √[(2u - 3)^2 + 1] du

We can evaluate this integral using the trigonometric substitution u = (3/2) + (1/2)tanθ, which gives:

du = (1/2)sec^2(θ)/2 dθ

Substituting into the integral and simplifying, we get:

L = ∫[α,β] secθ dθ

where α and β are the values of θ corresponding to u = 1 and u = 3, respectively. We can find these values by solving the equations:

(3/2) + (1/2)tanα = 1

(3/2) + (1/2)tanβ = 3

which give α = π/4 and β = 3π/4.

Substituting these values into the integral, we get:

L = ∫[π/4,3π/4] secθ dθ

To evaluate this integral, we use the substitution u = secθ, which gives:

du = secθ tanθ dθ

Substituting into the integral and simplifying, we get:

L = ∫[sec(π/4),sec(3π/4)] du

= sec(3π/4) - sec(π/4)

= -√2 + 2√2

= √2

Therefore, the arc length of the curve x = 1/3 (√y)(y - 3) on the interval 1 ≤y ≤ 9 is exactly √2.

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The probability that at least one of them will have a defect is 0.3143

If, defect items = 9%

       Then, non- defect items =  91%

Applying the  binomial formula,      

    Here ,

           x denotes the number of successes desired.

           n denotes the number of trials.

           p denotes the number of successes in a trial.

          q denotes the number of failures in a trial.

Substituting, x = 4

                           n = 4

                           p = 0.91 and

                           q = 0.09

The probability that all the chosen items are not defective is:

      P(4 not defective) is given by,        

As a result, the likelihood that any one of the 4 chosen items will be flawed is determined by subtracting the likelihood that none of the 4 items are flawed from 1.

P(at least one defective) is given by,

      P(at least one defective) = 1- P(4 not defective)

                                             = 1 - 0.6857

                                             = 0.3143

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Answer:

2

Step-by-step explanation:

The radius of the tire given the inches travelled in 100 revolution is 12 inches.

A tire has the shape of a circle. A circle is a bounded object which points from its center is equidistant to its circumference. One revolution is equal to the circumference of the tire. The circumference of a circle is the distance round the circle.

Circumference of a circle = 2πr

Where:

Circumference = total distance / number of revolutions

7540 / 100 = 75.40 inches

75.40 inches = 22/7 x r x 2

75.40 = 44/7 x r

r = 75.40 x 7/44 = 12 inches

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