Find the intersection point of the plane x-y-z=4 and the line x=2 t, y=3+t, z=3-t (10,-2,8) (10,8,-2) (7,-2,5) (7,5,-2)

Answer:

X-intercepts are also called zeros, roots, solutions, or solution sets.

Step-by-step explanation:

The y-intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test, a function can have at most one y-intercept. ) The y-intercept is often referred to with just the y -value.

On solving the provided question we can say that in this triangle 6 blocks separate the bus stop from his house.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon.

The graph of the provided data is included below. 10 blocks separate his residence from the park.

His friend's home is 15 blocks away from his home. 9 blocks separate the grocery shop from his home.

The sides are in proportions according to Side-Angle-Side Similarity. Consequently, we calculate a ratio using the corresponding triangles.

= distance from home to friend's home / distance from home to park

= distance from home to grocery / distance from to bus stop

= 15/10 = 9/x

x = 6

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Answer:

His friend's house, grocery store, and his home

Step-by-step explanation:

Had this question on a test and got it right.

The volume of the fish tank in the shape of a right circular cylinder with a radius of 3 in and a height of 10 in is 90π cubic inches.

Therefore the answer is 90π in³.

Recognize that the fish tank is in the shape of a right circular cylinder.

Remember that the formula for the volume of a cylinder is

V = πr^2h

where r is the radius and h is the height.

Plug in the given values for the radius (r = 3 inches) and the height (h = 10 inches) into the formula.

Perform the calculation:

πr^2h

= π(3^2)(10)

= π×9×10

= 90π cubic inches

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Answer:

2,840

Step-by-step explanation:

It would be 2,840 because the five in 2,835 makes the three round up.

Answer:

A least degree polynomial, having rational coefficients and a leading coefficient of 2, with,-4, 0, 2, and 4 as the zeros of the polynomial is;

f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x

Step-by-step explanation:

The given parameters of the polynomial are;

The leading coefficient of the polynomial = 2

The zeros of the polynomial = -4, 0, 2, 4

We note that zeros of -4, and 4 gives a factor of the form, (x² - 4²)

For a zero of the polynomial equal to 0, one of the factors of the polynomial is equal to 'x'

To have a leading coefficient of 2, we can add '2' as a factor of the polynomial

Therefore, we can have the factors of the polynomial as follows;

(x² - 4²)·2·x×(x - 2) = 0

From the above equation, using a graphing calculator, we get the following possible polynomial;

(x² - 4²)·2·x×(x - 2) = 2·x⁴ - 4·x³ - 32·x² + 64·x = 0

Therefore, a polynomial, function of least degree that has rational coefficients, a leading coefficient of 2,and the zeros, -4, 0, 2, and 4 is  f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x.

Volume of a 3-d shape is defined as the total space enclosed/occupied by any 3-dimensional object or solid shape.

Given:

Square Frustum:

a= 34.5, b=55, h= 500

Pyramid:

base= 34.5 ft, h= 55.5 ft

1. Volume of square frustum

=1/2h(a² + ab + b²)

=1/2 * 500(34.5² + 34.5 * 55 + 55²)

=250(1190.25 + 1897.5 + 2025)

= 12,78,187.5 ft³

2. Volume of pyramid

=1/2*b*h

=1/2* 34.5 * 55.5

=957.375 ft³

3. Total Volume

= 12,78,187.5 ft³ + 957.375 ft³

=12,79,144.875 ft³

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Answer:

x = 3

Step-by-step explanation:

Given that,

The mode of the data 2,3,3,5,7,7,6,5, x and 8 is 3.

We need to find the value of x.

We know that, Mode is the number in a data with Max frequency. x can be 3 or 7. If x = 7, mode becomes 7 and if x = 3, mode equals 3.

Hence, the value of x is equal to 3.

Answer:

After Douglass' attempt to escape slavery two years prior was betrayed by a fellow slave, he had been jailed, sent to Baltimore by his master, and hired out to work in the city's shipyards. Undeterred, Douglass vowed to try to escape again on September 3, 1838, although he knew the risk.

Step-by-step explanation: Hope this Helps

Answer:

he risked his life I think. I havent learned about this in a while.

Step-by-step explanation:

Answer:

The volume of the hollow ball will be equal to the difference between the volume of a sphere with the outer radius and the volume of a sphere with the inner radius.

Remember that the volume of a sphere of radius R is given by:

V = (4/3)*pi*R^3

where pi = 3.14

Then if R is the outer radius, and r is the inner radius, the volume of the hollow ball is:

V = (4/3)*pi*( R^3 - r^3)

In this case, we have:

R = 200m

r = 100m

Then the volume of the hollow ball is:

V = (4/3)*3.14*( (200m)^3 - (100m)^3)

V = 29,306,666.67 m^3

Now, if this hollow ball is made of iron, we want to find the mass.

Remember the relation:

Mass = Density*Volume.

We know that the density of the iron is:

D = 7300 kg/m^3

Then the mass of this hollow ball is:

M = (7300 kg/m^3)*(29,306,666.67 m^3) = 213,938,666,666.6 kg

Answer:

x = -56

Step-by-step explanation:

x4 on both sides to get rid of the fraction, then +20 on both sides to get rid of -20 on the left side, then you get x = -56

Answer:

c. 4x

Step-by-step explanation:

Answer:

3m=18+12

3m=30

divide both sides by 3

m=10

Answer:

m = 10

Step-by-step explanation:

3m - 12 =18

Add 12 to each side

3m - 12+12 =18+12

3m = 30

Divide by 3

3m/3 = 30/3

m = 10

The econometric specification for a regression of Y and D using the pre-post method is: [ Y_{it} = \beta_0 + \beta_1D_{it} + \epsilon_{it} \]

Pooled Cross Section Data:

To estimate the pre-post method, we will use the data for individuals who have observations in both years, i.e., individuals for whom we have data in both year t (before) and year t+1 (after).

Assumed Counterfactual:

The assumed counterfactual in this model is that the outcome for each individual in year t+1, had they not enrolled in the program, would be the same as their outcome in year t.

Weaknesses of the Assumed Counterfactual:

The assumed counterfactual relies on the assumption that the outcome for each individual would remain constant from year t to year t+1 in the absence of program enrollment.

However, this assumption may not hold true if there are other factors that could affect the outcome. Unobserved time-varying factors or changes in individuals' circumstances over time can introduce biases and violate the assumption of a constant counterfactual.

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The econometric specification for a regression of Y and D using the pre-post method is given by:

Yi = β0 + β1Di + εi

In this econometric specification, Yi represents the outcome of interest for individual i. Di is a binary variable that indicates enrollment (1) or non-enrollment (0) of individual i in the program. β0 is the intercept term, β1 is the coefficient that captures the average treatment effect of the program on the outcome, and εi is the error term.

To estimate the pre-post method, we will use the pooled cross-section data for year t (before program implementation) and year t+1 (after program implementation). This means that we will have observations for both individuals who were enrolled in the program (Di = 1) and those who were not (Di = 0) before and after the program.

The pre-post method assumes that the difference in outcomes between the two time periods for individuals who were not enrolled in the program (Di = 0) represents the counterfactual or what would have happened to the treatment group (Di = 1) had they not been enrolled. This assumption is based on the idea that the only difference between the treatment and control groups is the enrollment in the program.

However, there are several weaknesses in the assumed counterfactual. First, there may be unobserved factors that differ between the treatment and control groups, which can bias the estimated treatment effect. Second, the pre-post method assumes that there are no time-varying confounders that change between the two time periods, which may not hold true in practice. Finally, the assumption of parallel trends between the treatment and control groups before program implementation is crucial for identifying the causal effect, but it can be difficult to verify.

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The closed form expression for the sum is:

n * ∑ (n j) (1/8)^j

To express the sum in closed form, we need to first understand what the summation symbol means. In this case, the symbol ∑ means that we need to sum up a series of terms, where k ranges from 0 to n. The term being summed is (n k) multiplied by (1/8)^k.

Now, to find the closed-form expression for this sum, we can use the Binomial Theorem, which states that:

(n x + y)^k = ∑(k j) x^(k-j) * y^j

where (k j) represents the binomial coefficient, and x and y are any real numbers.

Using this theorem, we can rewrite the term (n k) as (n 1)^k, and set x = 1/8 and y = 1. Then, the sum becomes:

n ∑ (n k) (1/8)^k
= n ∑ (n 1)^k * (1/8)^k
= n * (1/8 + 1)^n    (by Binomial Theorem)

Expanding the binomial (1/8 + 1)^n using the Binomial Theorem again, we get:

n * (1/8 + 1)^n = n * ∑ (n j) (1/8)^j

Thus, the closed-form expression for the sum is:

n * ∑ (n j) (1/8)^j

where j ranges from 0 to n. This expression does not use a summation symbol or an ellipsis and gives us a concise way to calculate the sum without having to write out all the terms.

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Answer:

I solved it and my answer

X=24

Answer:

i got 4x+24 because there is no equal sign.

Step-by-step explanation:

10x -3 (2x+8)

property

10x-6x+24

combine like terms

4x+24

Answer:

80°

Step-by-step explanation:

since 4x+5x=180, it means that x is 20.

to find SVW, you multiply 4 by 20 which is 80°

Answer:

more than one

Step-by-step explanation:

Answer:

Five hundred twenty-five thousand six hundred

Step-by-step explanation: I am assuming you mean word form?

Answer:

five hundred twenty-five thousand, six hundred

Step-by-step explanation:

If two triangles are similar, that means their side lengths are proportional, so:

  \(\frac{BC}{AB} =\frac{EF}{DE} \\\\\frac{x}{21} =\frac{5}{7} \\7x = 21*5\\7x = 105\\x = 15\\\)

Hope that helps!

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio.

\(\dfrac{BC}{EF}=\dfrac{AB}{DE}\\\\\\\dfrac{x}{5}=\dfrac{21}{7}\\\\\\x=\dfrac{21}{7}*5\\\\\\x= 3*5 =15\)

x = 15

Answer:

6i

Step-by-step explanation:

I think

Assistant need to finish the repairs 1.85 more hours if the assistant is left alone to finish the job.

A roofer and assistant can repair a roof working together in 8 hours.

Working alone the assistant can complete the repair in 15 hours.

Let x = time required by the roofer working alone (required to do the next part)

Let the completed job = 1

\(\frac{8}{x} + \frac{8}{15} = 1\)

15(8) + 8x = 15x

120 = 15x - 8x

120 = 7x

x = 17.1 hours, roofer working alone

Let a = additional hours required by the assistant working alone

Let the completed job = 1

\(\frac{7}{17.1} + \frac{a+7}{15} = 1\)

7(15) + 17.1(a+7) = 256.5

105 + 17.1a + 119.7= 256.5

17.1a = 256.5 - 224.7

17.1a = 31.8

a = 1.85 hours

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Equation employing the slope-intercept method for two points

The slope-intercept version of the equation may be used to calculate the two-point Y-intercept.

The shape of a point-slope is\(\mathbf{Y-Y_{1} = m(X-X_{1})}.\)

Steps to find the y-intercept with two ordered pairs?

Determine the slope using two points.

\(Slope = \frac{Y_{2}-Y_{1}}{X_{2}-X_{1}} = \frac{Rise}{Run} = \frac{\bigtriangleup Y}{\bigtriangleup X}\)

As an illustration, two points are (3, 5) and (6, 11)

Slope = \(\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}} = \frac{11 - 5}{6 - 3} = \frac{6}{3} = 2\)

In the slope-intercept form of the equation, substitute the slope(m).

\(\\y = mx+b \\y = 2x+b\)

Either point may be substituted in the equation. You may either use (3,5) or (6,11).

\(\\y = 2x+b \\5 = 2(3)+b\)

Find the answer to the equation for b, the line's y-intercept.

\(\\5 \ \ \ = 2(3) + b \\5 \ \ \ = 6 + b \\\underline{-6\ = -6 \ \ \ \ \ \ \ } \\-1 = b\)

Substitute b,  into the equation.

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

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The equation of the line that models the amount of money, y, in her account x months from now is y=200+20x.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

Given Christie has $200 in her bank account. Every month, she deposits $20 into her account. Therefore, we can write her balance after one month as,

Account balance after 1 months, y = 200 + 20

Account balance after 2 months, y = 200 + (2)20

Account balance after 3 months, y = 200 + (3)20

Therefore, the Account balance after x months can be written as,

y = 200 + 20x

Hence, The equation of the line that models the amount of money, y, in her account x months from now is y=200+20x.

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X=3

sbzhshsbsnjsjsjsnsnsnns

By using combination, it can be obtained that

Number of simple random samples of size 3 that can be selected from a population of size 7 = 35

What is combination?

Combination determines the number of arrangements that can be made from a collection of objects when the order of arrangement is not taken into account.

Here, concept of combination is used

Number of simple random samples of size 3 that can be selected from a population of size 7 = \({7 \choose 3}\) = 35

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The standard form of the given numbers is 207360 × 10¹⁷.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the numbers is  (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)

Now standard form means we need to write the exponents form.

So,

5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360

And

1,000,000 x  100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷

So, combine 207360 x  10¹⁷

Hence "The standard form of the given numbers is 207360 × 10¹⁷".

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K-means clustering is the process of organizing observations into one of a number of groups based on a measure of similarity. It is a type of unsupervised learning algorithm that sorts data points into groups, called clusters, based on their similarity to one another. This technique is commonly used in pattern recognition, image analysis, and data mining.

K-means clustering begins by randomly assigning each data point to one of k clusters. Then, the algorithm iteratively moves each data point to the cluster whose mean is closest to it. The process continues until there are no more changes in cluster membership or some other stopping criterion is met.

K-means clustering is not used to agglomerate observations into a series of nested groups based on a measure of similarity, nor is it used to estimate the value of a continuous outcome variable. It also does not reduce the number of variables to consider in a data-mining approach. Rather, it is a technique for clustering data points based on their similarity to one another.

In conclusion, K-means clustering is the process of organizing observations into one of a number of groups based on a measure of similarity. The algorithm sorts data points into groups called clusters based on their similarity to one another.

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Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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Answer: (3,2)

Step-by-step explanation:

For this set of system of equations, let's use elimination method to find x and y. Let's eliminate y first. In order to do so, the y values have to be the same. Therefore, you multiply the top equation by 3 and the bottom equation by 4.

9x+12y=51

-16x-12y=-72

Now, we can add the 2 equations together for the y to cancel out.

-7x=-21

x=3

Since we know x, we can plug it into any of the equations to find y.

3(3)+4y=17

9+4y=17

4y=8

y=2

With out x and y value, we can put them into an ordered pair. (3,2)