find the equation of a line that is parallel to y= 4-x and cuts the Y axis at (0,1)

Answer:

\( V_{can} = 480\: cm^3\)

Step-by-step explanation:

Answer:

5x +35

Step-by-step explanation:

you woul use the distrubitive property

so multiply  by x and and 7

so it becomes 5x +35

Answer:

12

Step-by-step explanation:

72/2 is 36

72/6 is 12

36 is a factor of 12

therefore 12 is the answer

Answer:

D

Step-by-step explanation:

Step 1: (3)^2*6pi

Step2: 54 pi cm^3 Ans

Answer:

169.71

Step-by-step explanation:

FIRST PUT THE VALUES IN THE FORMULA OF VOLUME OF CYLINDER i.e.  V= πr^2 h  then evaluate the values as V=22/7(3)^2(6)  =169.71cm^3

No, one does not have to examine all the points in the feasible region as the optimal solution exists at one of the corner points.

It follows from the task content that the point where the optimal solution of a linear optimization problem exists is to be determined.

It is note-worthy to know that a feasible region’s optimal solution must be a corner point of the feasible region and at this point is where the objective function is maximised or minimised the value of the objective function.

Therefore, although all solutions in the feasible regions are valid; However, in a bid to determine the optimal solution, the corner points of the constraints-objective function plot are considered.

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The probability of Joseph selecting another red pen after a second pull is a dependent event.

The probability of Joseph selecting another red pen after pulling a red pen from the bag depends on whether the event is independent or dependent.

In this case, the event is dependent because the outcome of the first draw affects the probabilities of the second draw. After Joseph pulls out a red pen from the bag and keeps it, the number of red pens in the bag decreases by 1, while the total number of pens in the bag decreases by 1 as well.

Since the number of red pens has changed, the probability of selecting another red pen on the second draw is no longer the same as it was for the first draw. It has decreased because there are now fewer red pens available compared to the total number of pens in the bag.

If the events were independent, the outcome of the first draw would not have any influence on the probabilities of subsequent draws. Each draw would have the same probability of selecting a red pen regardless of previous selections.

In this scenario, the probability of Joseph selecting another red pen after a second pull is a dependent event.

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The number of more drapery pieces than upholstery pieces does Brandon have is 2.03 pieces

Number of pieces of upholstery fabric = 23 3/5 ÷ 2 5/6

= 118/5 ÷ 17/6

= 118/5 × 6/17

= 708 / 85

= 8 28/85

Number of pieces of drapery fabric = 18 1/2 ÷ 2 5/6

= 37/2 ÷ 17/6

= 37/2 × 6/17

= 222/34

= 6 18/34

= 6 9/17

How many more drapery pieces than upholstery pieces does Brandon have = 708 / 85 - 222/34

= (24072-18204) / 2890

= 5,868 / 2890

= 2.03 pieces

Therefore, the number of more drapery pieces than upholstery pieces does Brandon have is 2.03 pieces

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Inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process.

Inverse distance weighting is a method used in geostatistics to estimate values at unsampled locations based on values at surrounding sample locations. It works by assigning weights to the sample points based on their proximity to the unsampled point. The closer a sample point is to the unsampled point, the higher its weight. The weights are then used to calculate a weighted average of the sample values, which is used as the estimate for the unsampled location.
The benefit of inverse distance weighting over a simple average is that it takes into account the spatial variability of the data. A simple average treats all sample points equally, regardless of their distance from the unsampled point. This can lead to inaccurate estimates if there is a high degree of spatial variability in the data. In contrast, inverse distance weighting gives more weight to sample points that are closer to the unsampled point, which is likely to provide a more accurate estimate.
Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process. For example, if there are two variables of interest (e.g., temperature and precipitation), inverse distance weighting can be used to estimate values for both variables simultaneously. This is not possible with a simple average.
Overall, inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Its ability to account for spatial variability and incorporate multiple variables makes it a powerful technique for analyzing spatial data.

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A special two-digit number is one in which the original two-digit number is equal to the sum of the number's digits plus the product of its digits.

In the given question we have to explain about 2-digit special number.

A special two-digit number is one in which the original two-digit number is equal to the sum of the number's digits plus the product of its digits.

Take the number's initial and last digits out, then add and multiply each digit independently. After that, multiply the two-digit number by the sum and product of its digits and then compare the result to the original value. If they match, it qualifies as a special two-digit number; otherwise, it does not.

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Answer:

g(x) = |x – 0| – 5

Step-by-step explanation:

Given the parent absolute value function, f(x) = |x| :

The vertex of the parent absolute value function is (0, 0).

Hence, the translation of the parent absolute value function can be represented using the following vertex form:

g(x)= a|x – h| + k

Where:

(h, k) = vertex

a = determines whether the graph opens up or down.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

The translation of 5 units down means that the vertex of g(x) is (0, -5). Substitute the value of the vertex, (0, -5) into the vertex form, we'll have the following equation that reflects the translation of the graph:

      g(x)= |x – 0| – 5    

**Note, the assumed value of a in the equation for g(x) is 1.

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Answer:

1930.47

Step-by-step explanation: formula=bh+(surface 1+surface 2+surface 3)H

Answer:

2.83 x 10^5 = 283,000

Step-by-step explanation:

When you have the 10^5 multiplying to 2.83, you are moving the number further to the left of the decimal, making it larger every power of 10. if it was 4 powers of 10, the answer would be 28,300, 3 powers of 10 would be 2,830, etc.

PS. I think you forgot to add the decimal in 2.83, 283 x 10^5 is not written in Scientific Notation.

Answer:

27/2

Step-by-step explanation:

Hope this helps! Also dont add comments to get gems like bruh ;-;

Answer: 27/2

Step-by-step explanation:

\(9\cdot \:1=x\frac{2}{3}\)

\(x\frac{2}{3}=9\cdot \:1\)

\(x\frac{2}{3}=9\)

\(3x\frac{2}{3}=9\cdot \:3\)

2x= 27

x= 27/2

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(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

(a) The mean = sum of all values divided by the number of values

μ = (x1 + x2 + ..... + xn)/n

n = 20

μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20

μ = 0.9878/20

μ = 0.0494

(b) Variance = sum of squared deviations from the mean divided by n-1

s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)

s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19

s² = 0.000016

(b) The minimum is 0.0395 and the maximum is 0.0571.

since the number of data is even, the median will be the average of two middle values.

M = Q2 = (0.0496+0.0499)/2 = 0.04975

Now, the first quartile is the median of the data values below the median

so Q1 = (0.0470+0.0485)/2 = 0.04775

And third quartile will be the median of the data values above the median

Q3 = (0.0504+0.0516)/2 = 0.0510

(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set

so M = (0.0496+0.0499)/2

or M = 0.04975

(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.

The boxplot is attached.

(e) The 5th percentile means 0.05(n+1)th data value

or = 0.05(20+1) = 1.05th data value

5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974

similarly,

95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995

Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

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Answer:

x = 27

Step-by-step explanation:

∠AB is 180° as it is a straight line. Then, we have 3 angles here, 2 known and 1 unknown. These angles have to add up to 180° as they just divide ∠AB into 3 sections. Solve for x with the given information:

\(36+90+2x=180\\126+2x=180\\2x=54\\x=27\)

Answer:

x = 27

Step-by-step explanation:

Answer: the 3rd one

Step-by-step explanation:

Answer:

255,000

Step-by-step explanation:

if we look there is already 254,000 so now we look at the hundreds place.

In the hundreds place there is 920 witch is closer to 1,000

so 254,000 plus 1,000 is 255,000

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The smallest integer value in the set is 7.

The grouping of positive and negative numbers is known as integers. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.

Since an integer is a whole number, it can reach both positive and negative infinity. 0 is the smallest non-negative number.

Consider the given term as -3(x-4) = 12

Then, -3x + 12 = 12

or, -3x = 0

or, x = 0

So, the value of x is either x > 0 or x < 0

Based on the given option, the smallest integer value is 7.

So, the required answer is 7.

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The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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Answer:

x= -49.5

y= -13.5

Step-by-step explanation:

-x-y= -63

-x+y=-36

y=-13.5

x=-49.5

hope this helps!

Answer:

Answer: -2x+12

Step-by-step explanation:

So, it says the expression equals 2A + B. That means you need to multiply the equation for A by 2 and then add the equation of B to it. The question is asking you to write it in standard form. It would look like this:

2(-2x+8) + 2x-4

-4x+16+2x-4

-2x+12

Answer:

The piece-wise function is;

\(f\left (x \right ) = \begin{cases} \$ 45 \times x & \text{ if } x \leq 3 \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}\)

Step-by-step explanation:

The flat rate for renting the car = $35 per day

The amount charged as insurance fee per day for renting the car for 3 days or less = $10

The insurance fee charged per day when the car is rented for more than 3 days = $5

Let the number of days = x

Therefore, we have;

For x ≤ 3, f(x) = 35 × x + 10 × x = x × (35+10) = 45·x

For x > 3, f(x) = 35 × x + 5 × x = x × (35+5) = 40·x

Therefore;

The charge rate for renting the car for less than or equal to 3 days = 45·x

The charge rate for renting the car for more than 3 days = 40·x

The piece-wise function can be presented as follows;

\(f\left (x \right ) = \begin{cases} \$ 45 \times x & \text{ if } x \leq 3 \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}\)

Integrate this expression with respect to x over the region S to find the volume.

To find the volume of the solid generated when region S is revolved about the horizontal line y = -3, we can use the method of cylindrical shells.

Let's assume that the region S is bounded by the curves y = f(x), y = g(x), and the lines x = a and x = b.

The volume of the solid generated by revolving S about the line y = -3 is given by the integral:

V = ∫(a to b) 2πx[f(x) - (-3)] dx

Simplifying this expression, we have:

V = 2π ∫(a to b) x[f(x) + 3] dx

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Answer:

The cost of her old laptop would be $52.

Step-by-step explanation:

\( \frac{125\%}{65 \: dollars} = \frac{100\%}{n} \)

Step-by-step explanation:

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To determine whether the actual fit is an interference fit or a clearance fit, you need to measure the actual sizes of the shaft and hole and compare them to the tolerance limits specified by the H8 and p7 designations.

In a transition fit, such as φ50 H8/p7, the fit allows for both interference and clearance depending on the actual sizes of the shaft and hole.

To determine whether the actual fit formed by the actual shaft and hole is an interference fit or a clearance fit, we need to compare the actual sizes of the shaft and hole with the tolerance limits specified by the H8 and p7 designations.

In this case, the H8 tolerance for the hole indicates a basic hole size with a relatively tight tolerance, while the p7 tolerance for the shaft indicates a basic shaft size with a looser tolerance. The "φ50" specification specifies the nominal size of the fit as 50 mm.

If the actual shaft size falls within the upper limit of the p7 tolerance and the actual hole size falls within the lower limit of the H8 tolerance, the fit will be a clearance fit. This means that there will be a gap or clearance between the shaft and the hole, allowing for easy assembly and potential movement or play between the parts.

On the other hand, if the actual shaft size falls within the lower limit of the p7 tolerance and the actual hole size falls within the upper limit of the H8 tolerance, the fit will be an interference fit. This means that the shaft will be larger than the hole, resulting in a tight fit where the parts are pressed or forced together. This can create friction and require more force for assembly.

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Answer:

The answer: ( 2 , -3 )

Step-by-step explanation:

equation (1): 5x + 2y = 4

equation (2): y = x - 5

step1: sub ( x-5 ) for y in equation 1:

5x + 2 ( x-5 ) = 4

step2: multiply 2 by the bracket:

5x + 2x - 10 =4

step3: add the x term together:

7x - 10 = 4

step4: add 10 for both sides:

7x = 14

step5: divide by 7 from both sides to get the value of x:

x = 2

step6: sub ( 2 ) for x in equation 2 :

y = x - 5

y = 2 - 5

step7: simplify to get the value of y:

y = -3

So the answer is:

x = 2   and   y = -3

( 2 , -3 )

The answer is $1500.00

Answer:

3:7 = 42.86% (hope this helps) ;)

Step-by-step explanation:

Ratios are often expressed in the form m:n or m/n. To convert a ratio into the form of a percentage, simply divide m by n and then multiply the result by 100.

Follow the following steps for converting a ratio to a percentage:

Step 1: (Rewrite as fraction)

3:7 = 37 = 0.4286

Step 2: (Multiply the fraction by 100)

0.4286 x 100% = 42.86%

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The null and alternative hypotheses are:

H0: β1 = 0 (The slope is not significant.)

H1: β1 ≠ 0 (The slope is significant.)

Here,β1=0.0943seβ1=0.107α=0.05

Test the slope significance and find the t-test statistic.

We need to find the t-test statistic so that we can compare it with the t-distribution, whose distributional properties we know, to determine if we can reject or fail to reject the null hypothesis.t-test statistic is calculated by dividing the value of β1 by its standard error (seβ1) and taking the absolute value of this quotient.

t-test statistic = | β1/seβ1 | = |0.0943/0.107| = 0.881

The degrees of freedom (df) associated with this t-test are df = n - 2, where n is the sample size for the explanatory variable x.

In this problem, the decision rule and conclusion are as follows:

Decision Rule: Reject the null hypothesis if |t-test statistic| > tc where tc is the critical value obtained from the t-distribution with df degrees of freedom and a significance level of α/2 in each tail.

Conclusion: The slope is not significant if we fail to reject the null hypothesis, but the slope is significant if we reject the null hypothesis. Since the t-test statistic (0.881) is less than the critical value (1.987), we fail to reject the null hypothesis. Therefore, we conclude that the slope is not significant.

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A prism has two congruent parallel bases and the number of sides on the base determine the number of faces. A base with 13 sides is a 13-gon, so the prism has 2 faces from the 13-gon bases and 13 faces from the rectangular sides. In total the prism has 2+13 = 15 faces.

A prism is a three-dimensional geometric shape that has two congruent and parallel bases, and a set of rectangular faces connecting the bases. The bases are typically polygonal in shape, and the rectangular faces are perpendicular to the bases. The distance between the bases is known as the height of the prism. Prisms are named based on the shape of their bases, for example, a triangular prism has triangular bases, and a rectangular prism has rectangular bases. There are different types of prisms like regular prism, triangular prism, pentagonal prism, hexagonal prism etc.

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