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Line ℓ is perpendicular to line m. Find the value of x and w.

Answer:

The total weight is 1593 lbs.

Step-by-step explanation:

177*9 = 1593

Given the line through (5,-2,4) and parallel to the line x+1=y/2=z−5. The equation of the line in parametric form is given by:(x,y,z)=(5,-2,4)+ t(a,b,c)

Where (a,b,c) is the direction vector of the line. As given, the line is parallel to the line x+1=y/2=z−5

Therefore, the direction vector of the given line is equal to the direction vector of the required line. Thus, the direction vector of the line, (a, b, c) is a = 1, b = 1/2, and c = 1.

The equation of the line in parametric form is:(x,y,z)=(5,-2,4)+t(1,1/2,1)

The symmetric equations of the line are given as follows:x−5y−2z−4=0x−5y−2z=−4Thus, the required parametric equations and symmetric equations for the line are:(x,y,z)=(5,-2,4)+t(1,1/2,1)andx−5y−2z−4=0x−5y−2z=−4
To find the parametric equations for the line through (5, -2, 4) and parallel to the given line, we first need to find the direction vector of the given line. From the symmetric equation x + 1 = y/2 = z - 5, we can obtain the parametric equations of the given line:

x = t - 1
y = 2t
z = t + 5

The direction vector of this line is the coefficients of the parameter t, which are (1, 2, 1). Since our desired line is parallel to the given line, it will have the same direction vector, (1, 2, 1).

Now we can write the parametric equations for our desired line using the given point (5, -2, 4) and the direction vector (1, 2, 1):

x = 5 + t
y = -2 + 2t
z = 4 + t

So, the parametric equations for the desired line are (x, y, z) = (5 + t, -2 + 2t, 4 + t).

For the symmetric equations, we need to eliminate the parameter t. We can do this by solving the parametric equations for t and setting them equal to each other:

t = x - 5
t = (y + 2)/2
t = z - 4

Now set them equal to each other:

x - 5 = (y + 2)/2 = z - 4

So, the symmetric equations for the desired line are x - 5 = (y + 2)/2 = z - 4.

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True breeding parents can only pass one trait variant to their offspring. Option d is answer.

True breeding refers to a breeding process in which individuals with a particular trait are bred together consistently over multiple generations, resulting in offspring that consistently exhibit the same trait. In this context, the term "trait variant" refers to a specific version or expression of a trait. When true breeding parents are involved, they possess only one variant of the trait, which they pass on to their offspring.

The term "will pass two" and "will not pass" are not accurate in this context, as true breeding parents pass on a single trait variant. Similarly, the option "might only pass one" is not applicable because true breeding parents are certain to pass on one specific trait variant. Therefore, the correct answer is "can only pass one. (option d)"

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Answer:

-3.6

Step-by-step explanation:

proportional means the amount on the right is amount on the left multiplied by some coefficient - proportion. The proportion is calculated by dividing one side by another. Since you need to calculate weight based on days, you need the proportion of weight/days, so divide -0.27/9 or -0.78/26, in all cases you'll receive -0.03. This means for each day in hibernation hedgehog loses 0.03 pounds. 120 days will be 120*-0.03 which gives you -3.6

To solve the system of equations using elimination, we can manipulate the equations by adding or subtracting them to eliminate one variable at a time.

12. Given the equations:

2x - 5y = -12

4x + 5y = 6

Adding these two equations eliminates the variable y:

(2x - 5y) + (4x + 5y) = -12 + 6

6x = -6

x = -1

Substituting the value of x into either of the original equations, we can solve for y:

2(-1) - 5y = -12

-2 - 5y = -12

-5y = -10

y = 2

Therefore, the solution to the system of equations is x = -1 and y = 2.

13. Given the equations:

3x - 4y = -8

3x - y = 10

Subtracting the second equation from the first equation eliminates the variable x:

(3x - 4y) - (3x - y) = -8 - 10

3y = -18

y = -6

Substituting the value of y into either of the original equations, we can solve for x:

3x - (-6) = 10

3x + 6 = 10

3x = 4

x = 4/3

Therefore, the solution to the system of equations is x = 4/3 and y = -6.

The remaining systems of equations can be solved using a similar approach by applying the elimination method to eliminate one variable at a time and then solving for the remaining variables.

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When the principal is $3500 and the annual interest rate is 1.83%, compounded daily, the balance in the account receiving compound interest after 6 years is $4,036.32.

To find the amount A in the account earning compound interest after 6 years when the principal is $3500, we need to use the compound interest formula:

\(A = P(1 + \frac{r}{n})^{nt}\)

Where:

P = principal = $3500

r = annual interest rate = 1.83% = 0.0183 (as a decimal)

n = number of times the interest is compounded per year = 365 (daily compounding)

t = time in years = 6

Substituting these values into the formula, we get:

\(A = 3500(1 + \frac{0.0183}{365})^{(365*6)}\)

\(A = 3500(1.00005)^{2190}\)

A = $4,036.32

Therefore, the amount in the account earning compound interest after 6 years when the principal is $3500, with an annual interest rate of 1.83% compounded daily, is $4,036.32.

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To calculate how long it would take to pay off 60% of the debt,

we can use the same facts as in problem #16. Let's go through the steps:

1. Determine the total amount of debt: Find the original debt amount given in problem #16.

2. Calculate 60% of the debt: Multiply the total debt by 0.6 to find the amount that represents 60% of the debt.

3. Divide the amount obtained in step 2 by the monthly payment: This will give us the number of months it will take to pay off 60% of the debt.

Now, let's apply these steps to the options provided:

a. About 45 months: To determine if this is the correct answer, we need to perform the calculations outlined above using the original debt amount and the monthly payment given in problem #16.

b. About 50 months: Same as option a, perform the calculations using the original debt amount and the monthly payment.

c. About 55 months: Perform the calculations outlined above using the original debt amount and the monthly payment.

d. About 37 months: Perform the calculations outlined above using the original debt amount and the monthly payment.

After performing the calculations for each option, compare the results with the options provided to find the correct answer.

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Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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The solution to the value of x in the given equation is x = 0.00212658 or x = -0.00213958

The process of solving the unknown value of an algebraic equation involves equating the values of the unknown to the constant value.

Given that:

\(\mathbf{\dfrac{x^2}{0.35-x}= 1.3 \times 10^{-5} }\)

\(\mathbf{x^2 = 1.3 \times 10^{-5} (0.35-x) }\)

x² = 4.725 × 10⁻⁶ - 1.3 × 10⁻⁵x

= \(x^2 + 1.3\times10^{-5}x - 4.725 \times 10^{-6}\)

= x²+0.000013x-0.000004725

x = 0.00212658 OR x = -0.00213958

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Answer:

The two equations are: r^(1/3) * s^2 = k and 1/s^2 = k * r^(1/3) where k is a constant.

Step-by-step explanation:

Two equations that model the relationship "the cube root of r varies inversely with the square of s" are:

r^(1/3) * s^2 = k

1/s^2 = k * r^(1/3) (where k is a constant)

In the first equation, the cube root of r is on one side of the equation and the square of s is on the other side, with a constant k connecting them. This represents the inverse relationship between the two variables.

In the second equation, both sides are equal to a constant k, with the reciprocal of the square of s on one side and the cube root of r on the other. This also represents the inverse relationship between the two variables, because if one variable increases, the other will decrease and vice versa.

These two equations are interchangeable, and they both represent the inverse variation between the cube root of r and the square of s. In both of them, the value of k can be determined by any pair of r and s values.

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Ty's brother will get 3/4th part of the pizza.

The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

Here, Total number of Pizza = 1

         Number of parts required = 4

Now, each member will get the part of pizza = 1/4

Total number of brothers = 3

Ty's brother will get pizza = 3 X 1/4

                                           = 3/4

Thus, Ty's brother will get 3/4th part of the pizza.

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Answer:

3/4

Step-by-step explanation:

because there are 4 people so ty get 1/4 and his brothers get the rest.

Answer:

3, 4, and 5 by 8.

Step-by-step explanation:

I created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triples 3, 4, and 5 by 8.

A midwife delivers 10 babies, with 50% chance of delivering a boy and 50% of delivering a girl. The probability that 6 out of 10 babies will be boys is 20.5%

The problem can be solved using binomial distribution, that is the probability of 2 possible outcomes in a number of trials.

The formula is given by:

P(x) = ⁿCx . P^x . (1 - P)^(n-x)

x = total number of event A

n = number of trials

P = probability of A in a single trial

Parameters given in the problem:

n = 10

x = 6

P = 50% = 0.5

Plug these parameters into the formula:

P(6 boys) = ¹⁰C₆ . (0.5)⁶ .  (0.5)⁴

                = 0.205 = 20.5%

Hence, the probability that 6 out of 10 babies will be boys is 20.5%

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To complete the square for the equation \(x^2 + 8x + 32 = (x - h)^2 + 16\),

we need to choose h = -2.

To complete the square for the given equation

\(x^2 + 8x + 32 = (x - h)^2 + 16\),

we need to express the left-hand side of the equation in the form

\((x - p)^2 + q\), where p and q are constants.

We can start by expanding the right-hand side of the equation:

\((x - h)^2 + 16 = x^2 - 2hx + h^2 + 16\)

Now we can compare the coefficients of \(x^2\), x, and the constant term on both sides of the equation:

\(x^2 + 8x + 32 = (x - p)^2 + q\)

=> \(p^2 = 0\) (since the coefficient of \(x^2\) is 1 on both sides)

=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)

=> h = -2 (solving for h)

=> q = \(h^2 + 16\) = 20 (since the constant term on the right-hand side is 16)

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The complete question may be:

What value of h is needed to complete the square for the equation \(x^2+8 x+32=(x-h)^2+16\) ?

The fourth term of the arithmetic progression is found to be 29.

A sequence is a collection of numbers that move from expression to term according to a specific pattern or rule.

You should be familiar with the following four main categories of sequences: arithmetic sequences, geometric sequence data, quadratic sequences, and special sequences.

The given equations are:

a1 = 5

an = 2\(a_{n - 1}\)  + 3

put n = 1, 2 , 3...

Second term will be:

a2 = 2\(a_{2 - 1}\)  + 3

a2 = 2\(a_{1}\)  + 3

Put the value of a1 = 5

a2 = 2*5 + 3

a2 = 13

Now, the common difference d = 13 - 5 = 8

a4 = a1 + (n - 1)d

a4 = 5 + (4 - 1)*8

a4 = 5 + 3*8

a4 = 29

Thus, the fourth term of the arithmetic progression is found to be 29.

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Answer:

Ana baked 5 cookies and wanted to divide 1.5 of the cookies to her friends and the rest to her family. How many cookies were given to her friends?

Step-by-step explanation:

Answer:

that is my answer hopes it helps you

Step-by-step explanation:

the 5÷ 1 and 1 I got 1.5 for answer

Answer: The answer is 20 1/8.

Answer:

Step-by-step explanation:

The digraph of the relation r is on the image at the end.

Here we just need to make two sets of numbers in columns, one column is the domain which we know is {1,2,3,4}, the other column is the range which we know is {1, 2, 3, 4}

To make the digraph, just connect the points in the way that the relation suggest.

This is, we can see the point (1, 2)

Then we make an arrow that comes from the "1" in the domain and goes to the "2" in the range.

The digraph can be seen in the image at the end of the answer.

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Answer:

second one

s/(2πh) = r

Step-by-step explanation:

You want to put the unknown value you are solving on 1 side and rest on the other side. In this case, you have to have r alone on one side.

s=2πrh

Since they are all multiplied with r, you divide them all on both sides to send them to other side.

s/(2πh) = 2πrh/ (2πh)

cancel out right side and it leaves r alone.

s/(2πh) = r

Answer:

9.0%

Step-by-step explanation:

I don't know exact answer

Answer:

25 + 18h is greater than or equal to 44.95

If a piper will make $2050 in sales in a week than she will get 557.5$ including her commission and salary.

A sales commission is a payment made to an employee after they successfully complete a task, typically selling a predetermined volume of goods or services. Sales commissions are a common incentive used by employers to boost employee productivity. A commission can be paid instead of or in addition to a salary.

As she makes a guaranteed salary of $250 per week

and  paid a commission equal to 15% of her total sales for the week

if  she made $2050 in sales in a week

so calculating it 15% commission

=(15x2050)/100

=307.5$

now adding the salary with commission:

=$250+307.5$

=557.5$

so this is the amount piper make will in this a week.

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Answer: it’s raining tacosss. From out of the skyyYYy.

Step-by-step explanation:kit tu litter

Answer:

comparing the means of three or more groups

Step-by-step explanation:

Answer:

A.) 30 degrees

Step-by-step explanation:

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The p -value for the hypothesis test is; 0.4195

Let us first define the hypotheses.

We are told that the mean of u.s. college students in general, is estimated to be 4.73. Thus;

Null Hypothesis; H₀: μ = 4.73

Alternative Hypothesis; Hₐ: μ ≠ 4.73

Since we have the standard deviation for the sample, we will use the t-distribution with the formula;

t = (x' - μ)/(s/√n)

Where;

x' is the sample mean.

μ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

We are given;

x' = 5.11

μ = 4.73

s = 3.98

n = 52

Thus;

t = (5.11 - 4.73)/(3.98/√52)

t = 0.688

Using a t-distribution calculator, this p-value is 0.4195

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Answer: (1,-2)

Step-by-step explanation: