Find the vector equation for the line of intersection of the
planes x−5y+4z=2x−5y+4z=2 and x+z=−3x+z=−3
=〈r=〈 , ,0 〉+〈〉+t〈-5, , 〉〉.

Given:

The altitude for checkpoint 2 is -47.

The altitude for checkpoint 3 is -216.

The altitude for checkpoint 4 is 2,001.

Required:

a) we need to find the altitude of checkpoint 4 higher than checkpoint 2.

b) we need to find the altitude of the top of the hill when that rises 329 feet about the checkpoint 3.

Explanation:

a)

The difference between 2001 and -47 is

Checkpoint 4 is 2048 ft higher than checkpoint 2.

b)

Add 329 to the altitude of the checkpoint 3.

The altitude of the top of the hill is 113 ft.

Final answer:

a) Checkpoint 4 is 2048 ft higher than checkpoint 2.

b) The altitude of the top of the hill is 113 ft.

Answer:

Option C  

Step-by-step explanation:

First evaluate √6 and √9

We are given that 3 is the base and height is about 2.4

Now let's find the area:

\(A=\frac{h_bb}{2} =\frac{2.45*3}{2}\) ≈ \(3.67423\)

Now that we have the area, let's evaluate the options.

√45  ≈ 6.7

√15 ≈ 3.9

3√6/2 ≈ 3.7 (No need for more steps as we've found the answer).

3√6/2 equals the area of the triangle which was 3.67423...

Hence, the answer would be Option C. 3√6/2

Step-by-step explanation:

17) 3x+5-12+4x+2x

3x+4x+2x +5-12

8x-7

if x =6

8*6-7 =48-7

= 41

18.) 9(3x-4y+8)

27x-36y+72

Answer:

ok this answer is so simple just do it if you still want help I will tell you

Answer:

C: (2x + y)(4x2 - 2xy + y2)

Step-by-step explanation:

A sequence is a collection of numbers in which a pattern between consecutive numbers is established.

One example is a geometric sequence with first term of 2 and common ratio of 3, which is:

2, 6, 18, 54, ...

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

Considering a geometric sequence with first term of 2 and common ratio of 3, the other terms are given as follows:

And the pattern continues for however many terms are there in the sequence.

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As the speed of a ship increases, the time remaining in the journey decreases

This implies that the speed of the ship is inversely proportional to the time

Therefore, this is a negative correlation because the relationship between the speed of the ship and the time remaining is not a direct one

The answer is a negative correlation

The probability is equal to the ratio of the area of the region where the area of triangle XYD is at most 12 to the total area of triangle XYZ. The probability that the area of triangle XYD is at most 12 is 2/3 or 0.67.

Triangle XYZ has legs of length XY = 12 and YZ = 6. The area of triangle XYZ can be calculated using the formula A = (1/2) * base * height, where the base is XY and the height is YZ. Substituting the given values, we find that the area of triangle XYZ is 36 square units.

To determine the probability that the area of triangle XYD is at most 12, we need to consider the range of possible positions for point D within triangle XYZ.

The area of triangle XYD can also be calculated using the formula A = (1/2) * base * height, where the base is XY and the height is the perpendicular distance from point D to line XY. Since point D is chosen randomly within triangle XYZ, we can consider the ratio of the areas to determine the probability.

If the area of triangle XYD is at most 12, it means that the height of triangle XYD is at most (2 * 12) / XY = 2 units. Therefore, point D must lie within a region of height 2 units above line XY within triangle XYZ.

To calculate the probability, we compare the area of this region (a trapezoid shape) to the total area of triangle XYZ. The area of the trapezoid can be calculated using the formula A_trap = (1/2) * (base1 + base2) * height, where base1 and base2 are the lengths of the parallel sides of the trapezoid and height is the height of the trapezoid.

In this case, base1 = base2 = XY = 12, and the height of the trapezoid is 2. Plugging these values into the formula, we find that the area of the trapezoid is 24 square units.

Therefore, the probability that the area of triangle XYD is at most 12 is given by the ratio of the area of the trapezoid (24 square units) to the total area of triangle XYZ (36 square units), which simplifies to 24/36 = 2/3, or approximately 0.67.

In conclusion, the probability that the area of triangle XYD is at most 12 is 2/3 or approximately 0.67.

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The probability that the consumer will have more than 6 contaminated chickens is 0.039.

The binomial distribution is a frequency distribution that shows how many successful outcomes there could be in a set number of trials with an equal chance of success. Given a success probability of "p" for each experiment trial, it shows the likelihood that an experiment will succeed "x" times out of "n" trials. The formula to calculate this binomial distribution is \(P(X=x)= \;_nC_xp^x(1-p)^{n-x}\)

Given the p=0.30 and n=12. Then, the required probability that the consumer will have more than 6 contaminated chickens is,

\(\begin{aligned}P(X > 6)&= P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\&=12C_7(0.3)^7(0.7)^5\cdots\cdots\cdots12C_{12}(0.3)^{12}(0.7)^{0}\\&=0.0386\\&=0.039\end{aligned}\)

The required answer is 0.039.

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By using parallel lines and transversal lines concept we can prove m∠1=m∠5.

Given that, a║b and both the lines are intersected by transversal t.

We need to prove that m∠1=m∠5.

In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.

m∠1+m∠3= 180° (Linear Pair Theorem)

m∠5+m∠6=180° (Linear Pair Theorem)

m∠1+m∠3=m∠5+m∠6

m∠3=m∠6

m∠1=m∠5 (Subtraction Property of Equality)

Hence, proved. By using parallel lines and transversal lines concept we can prove m∠1=m∠5.

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Answer:

to get rid of the fraction multiply both sides by six

Answer:

multiply both sides by 6

Step-by-step explanation:

you won't add 2 until you have a whole number, not a fraction.

You don't need to change the direction

and you aren't supposed to change the =, >, <, or any of those signs ever, until you get to where you are multiplying or dividing by a negative number

The simple interest rate is $46,800

Simple interest  serves as the interest that is based on the  principal amount of a loan  or in some cases the  deposit in a savings account.

interest rate  = 6.5%= 6.5/100= 0.065

time = 12 years

principal = $60,000

Simple interest formular =(Principal x Interest Rate x Time)/100

Simple interest = (12* 0.065* 60000)/100

=$46,800

Therefore, simple interest rate is $46,800

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The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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Answer:

D

Step-by-step explanation:

the $90 per week multiplied by x amount of weeks + the $450 that they have already raised will equal the $1350 they need

Answer:

The zeroes of a graph are the points where the x axis and the parabola meet. In this case, it is a quadratic function so we have two, x=4 x=6 Therefore, A

Good luck!

There are two terms in the given expression 5xy²+ 35xy².

What is meant by term?

Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.

What is an example of a term?

It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.

There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.

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To minimize the surface area of a box with a square base and a fixed volume V, its dimensions should be x = y = z =  (V¹/³). For V = 1000 meters cubed, the dimensions are x = y = z = 10 meters.

To minimize the surface area, we can use the formula for the surface area of a box with a square base: A = 2x² + 4xy, where x = y (square base) and z = V/x². Differentiating A with respect to x and setting the derivative equal to zero, we find the critical points.

A' = 4x - 4V/x³. Setting A' = 0, we get 4x = 4V/x³, and x⁴ = V, so x = (V¹/³). Since x = y, the dimensions are x = y = z = (V¹/³).

For part (ii), let V = 1000 meters cubed. Then, the dimensions are x = y = z = (1000)¹/³ = 10 meters.

For part (iii), sketch the surface area function A(x) = 2x²+ 4x(V/x²) with a reasonable domain, such as [1, 20] meters for x-axis and [300, 2500] meters squared for the y-axis. Label axes appropriately, including units.

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Answer:

Step-by-step explanation:

As per the graph, the domain can get any value but zero

Correct option is A. {x| x≠ 0}

Answer:

g=85

Step-by-step explanation:

74+21+remaining angle=180 [ Angles of a triangle]

remaining angle=85

g=85 [Alternate interior angle]

The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the amount by which a bacterial cell is smaller than the amoeba cell

Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)

The length of a bacterial cell in scientific notations is 5 × 10^(- 6)

To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.

= 3.5 × 10^(- 4) / 5 × 10^(- 6)

= 0.7 × 10^(2)

= 7 × 10^(1)

Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

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Answer:



To find the indirect utility function, we need to solve the utility maximization problem subject to the budget constraint and express the maximum utility achieved as a function of the prices and income.

Given the utility function U = max(X, Y) and the budget constraint P₁X + P₂Y = M, we can solve for X and Y in terms of prices (P₁, P₂) and income (M).

First, let's consider the different cases:

If P₁ ≤ P₂:

In this case, the individual would choose to consume only good X. Therefore, X = M / P₁ and Y = 0.

If P₂ < P₁:

In this case, the individual would choose to consume only good Y. Therefore, X = 0 and Y = M / P₂.

Now, we can express the indirect utility function in terms of the prices (P₁, P₂) and income (M) for each case:

a) If P₁ ≤ P₂:

In this case, the individual maximizes utility by consuming only good X.

Therefore, the indirect utility function is V(P₁, P₂, M) = U(X, Y) = U(M / P₁, 0) = M / P₁.

b) If P₂ < P₁:

In this case, the individual maximizes utility by consuming only good Y.

Therefore, the indirect utility function is V(P₁, P₂, M) = U(X, Y) = U(0, M / P₂) = M / P₂.

c) and d) do not match any of the cases above.

Therefore, among the given options, the correct answer is:

a) M / max(P₁, P₂).

Answer:

the first one

Step-by-step explanation:

m=10 n=1

10+1 =11

10 x 1=10

Answer:

a

Step-by-step explanation:

I believe A is the answer but I'm not 100% sure

35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of black tea worth 1.80 per pound to be mixed to get the final mixture for 2.10 per pound, hence:

2.4(35) + 1.8(x) = 2.1(x + 35)

x = 35 pounds

35 pounds of black tea is needed to be mixed to get the final mixture for 2.10 per pound

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Answer:

\(64 \frac{1 3}{21} ft {}^{2} \)

Step-by-step explanation:

Area of the garden:

\((8 \frac{3}{7} \times 7 \frac{2}{3} )ft {}^{2} \\ \\ ( \frac{59}{7} \times \frac{23}{ 3} )ft {}^{2} \\ \\ = \frac{1357}{21} ft {}^{2} \\ \\ = 64 \frac{13}{21} ft {}^{2} \: (ans)\)

Answer:

the correct answer is $269

Step-by-step explanation:

Answer:

$269

Step-by-step explanation:

Answer:$3.35

subtract 10.00 - 6.65

You will get $3.35

Answer:

The 1st Graph: -4/1

2nd Graph 1/3

Step-by-step explanation:

Answer:

50.24

Step-by-step explanation:

radius R = 2

SA = 4πR^2 = 4π*2^2 = 16π = 16*3.14 = 50.24

I will solve each equation one by one to find the value of the variables:

a + 7 = 20

a = 20 - 7

a = 13

c - 12 = 29

c = 29 + 12

c = 41

46 + 12 = 60

b is not present in the equation. This equation cannot be used to find the value of b.

5x + 2x = 35

7x = 35

x = 35 / 7

x = 5

127 - 57 - 9 = 40

z is not present in the equation. This equation cannot be used to find the value of z.

5y + 3y + 4 = 68

8y = 68 - 4

8y = 64

y = 64 / 8

y = 8

2(x + 4) = 24

2x + 8 = 24

2x = 24 - 8

2x = 16

x = 16 / 2

x = 8

6(5g - 7) = 18

30g - 42 = 18

30g = 18 + 42

30g = 60

g = 60 / 30

g = 2

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