Maria is using a meter stick to determine the height of a door. If the smallest unit on the meter stick is centimeters, which measurement could Maria have used to most accurately record the height of the door?

Answer:

Nope no help. :d

Step-by-step explanation:

Using LU factorization:

We are given the following LU factorization for A:

A = LU
where L is a lower triangular matrix and U is an upper triangular matrix.

L = |1 0 0|
   |-2 1 0|
   |3 1 1|

U = |2 -7 -4|
   |0 -1  1|
   |0  0 -2|

Let Ly = b:
|1 0 0|   |y1|   |b1|
|-2 1 0| * |y2| = |b2|
|3 1 1|   |y3|   |b3|

Solving for y:
y1 = b1
y2 = b2 + 2y1
y3 = b3 + 2y1 - (-2)y2

y1 = -12
y2 = 14
y3 = -7

Let Ux = y:
|2 -7 -4|   |x1|   |y1|
|0 -1  1| * |x2| = |y2|
|0  0 -2|   |x3|   |y3|

Solving for x:
-4x3 = y3
-x2 + x3 = y2
2x1 - 7x2 - 4x3 = y1

x3 = 7/2
x2 = -7/2 + x3 = -7/2 + 7/2 = 0
x1 = (-12 + 7x2 + 4x3)/2 = (-12 + 7(0) + 4(7/2))/2 = 7

Therefore, the solution to Ax = b using LU factorization is:
x = |7|
   |0|
   |7/2|

Using ordinary row reduction:

We start with the augmented matrix [A|b]:

|2 -7 -4 -12|
|3  3  1  52|
|-2  1 -2   3|
|1  0  0 -4 |
|0 -1  1  10|
|0  0 -2   0|

First, we perform row operations to get a leading 1 in the first row:
R1/2 -> R1: |1 -7/2 -2 -6|

Next, we use row 1 to eliminate the entries in the first column below the pivot:
R2 - 3R1 -> R2
R3 + 2R1 -> R3
R4 - R1 -> R4
|1 -7/2 -2 -6 |
|0 15/2  7 70 |
|0  11  -6 -3 |
|0 13/2  2 -10|
|0 -1   1  10 |
|0  0  -2   0 |

We continue with row operations to get leading 1's in the second and third rows:
(2/15)R2 -> R2
(-1/2)R3 -> R3
R4 - (13/2)R2 -> R4
R5 + R2 -> R5
R6 + (2/15)R2 -> R6
|1 -7/2  -2  -6 |
|0  1    14/15 28/3 |
|0  0    1   14/11 |
|0  0   -7/15 -49/3 |
|0  0   29/15  94/3 |
|0  0   26/15  46/3 |

Finally, we use row operations to get zeros in the entries below the pivots in the second and third rows:
(7/15)R4 -> R4
(-14/15)R5 -> R5
(-26/15)R6 -> R6
|1 -7/2  -2  -6 |
|0  1    0  -20 |
|0  0    1  14/11 |
|0  0    0  -7/33 |
|0  0    0  352/33 |
|0  0    0  -28/11|

Therefore, the solution to Ax = b using ordinary row reduction is:
x = |28/11|
   |-20  |
   |14/11|
   |-7/33|
   |352/33|
   |-28/11|

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Answer:

33d

Step-by-step explanation:

33 is the total fish in each tank

d represent the number of tanks

To find the total fish we multiple 33 and d

33 x d = total fish

so 33d is the correct expression

Answer:

192 cm^3

Step-by-step explanation:

base area = side^2 = 8^2 = 64 cm^2

V = (base area x height)/3 = (64 x 9)/3 = 192 cm^3

Answer: I think E

Step-by-step explanation:

The equation in slope-intercept form is y = 3x + 4, parallel to the given line.

To find an equation of a line parallel to the given line 3x - y = 3 and containing the point (0, 4), we need to determine the slope of the given line first.

Rearranging the given line in slope-intercept form (y = mx + b), we have:

y = 3x - 3

The slope of the given line is 3. Since we want a line parallel to it, the parallel line will also have a slope of 3.

Using the point-slope form of a line, we can write the equation as:

y - y1 = m(x - x1)

Plugging in the values of the point (0, 4) and the slope m = 3, we get:

y - 4 = 3(x - 0)

Simplifying, we have:

y - 4 = 3x

Finally, rearranging the equation in slope-intercept form, we get:

y = 3x + 4

Therefore, the equation of the line parallel to the given line and containing the point (0, 4) is y = 3x + 4.

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Answer:

y = 3x + 4

Step-by-step explanation:

We are given the following line and point:

3x - y = 3, (0,4)

We want to find the equation of a line containing (0,4) that is parallel to 3x - y = 3 in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y-intercept.

Recall that parallel lines have the same slopes.

Let's get  the slope of 3x - y = 3. We can convert it into slope-intercept form to do so.

Subtract 3x from both sides.

-y = -3x + 3

Divide both sides by -1.

y = 3x - 3

The slope of this line is 3.

It is also the slope of our parallel line.

Here's our parallel line so far:

y = 3x + b

Now, substitute (0,4) as x and y to find b.

4 = 3(0) + b

4 = 0 + b

4 = b

Substitute 4 as b.

We get:

y = 3x + 4

Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

Step-by-step explanation:

hope it helps

Answer:

B

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Simply plug x=3 into the equation f(x):

f(x) = 5(3)+2

f(x) = 15+2

f(x) = 17

Answer:

A sector of a circle is simply a part of a circle that is enclosed by two radii and a part of the circle's circumference (arc). If the arc makes an angle θ at the center of the circle, then the area of the sector is equal to A=θ360πr2 A = θ 360 π r 2 .

Step-by-step explanation:

Answer:

the population would be 1,200,000 of San Diego in 2000

Answer:

1,200,000 is your answer

Step-by-step explanation:

Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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The machine should be set at approximately 7.006 milliliters of dye per can of paint.

To determine the setting for μ so that only 5% of the cans of paint will be unacceptable, follow these steps:

1. Recognize that the amount of dye discharged follows a normal distribution with mean μ and a standard deviation of 0.6 milliliters.

2. Define unacceptable as discharging more than 8 milliliters of dye per can.

3. Use the z-score formula to find the z-value corresponding to 5% probability in the right tail (unacceptable region) of the distribution. Since we want only 5% of the cans to be unacceptable, we'll look for the z-value that corresponds to the 95th percentile (1 - 0.05 = 0.95).

4. Consult a standard normal table or use an online calculator to find the z-value corresponding to a cumulative probability of 0.95. The z-value is approximately 1.645.

5. Use the z-score formula to solve for μ:
  z = (X - μ) / standard deviation
  1.645 = (8 - μ) / 0.6

6. Solve for μ:
  8 - μ = 1.645 * 0.6
  μ = 8 - (1.645 * 0.6)
  μ ≈ 7.006

Your answer: The machine should be set at approximately 7.006 milliliters of dye per can of paint to ensure that only 5% of the cans will be unacceptable.

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Answer:

A. 37

Explanation:

The angles F and G

Answer:

Step-by-step explanation:

45342

This implies that as t approaches infinity, the solution spirals out and approaches the positive y-axis.

Given, θ' = sin θ

⇒ θ(t)

=\(π/2 - arc tan (e^-t^/2 )\)

When t → ∞, θ(t) → π/2

This implies that as t approaches infinity, the solution spirals out and approaches the positive y-axis.

Given system is in polar coordinates {r' = r - r², θ' = sin θ}

There are three equilibrium points :One equilibrium point is at (0,θ)Other two equilibrium points are at (1,θ)Let us find the stability of these equilibrium points:

Stability of the equilibrium points can be found from the eigen values of the Jacobian matrix at the equilibrium points.

The Jacobian matrix for this system in polar coordinates is given by,

J(r, θ) = [∂f1/∂r   ∂f1/∂θ  ][∂f2/∂r   ∂f2/∂θ  ]

= [1-2r      0        ][0      cos(θ) ]

= [1-2r      0        ][0      sin(θ)]

∴ J(0, θ) = [1  0][0 sin(θ)]

= [0  0][0  0]

∴ J(0, θ) has a zero eigen value and a non-zero eigen value (which is positive)

Hence, (0,θ) is an unstable equilibrium point.

Now, let's check the stability of the equilibrium points at (1,θ)

∴ J(1, θ) = [-1  0][0  sin(θ)]

= [0  0][0 sin(θ)]

∴ J(1, θ) has two zero eigen values

Hence, (1,θ) is an unstable equilibrium point.

Based on the phase portrait of the given system, it is quite clear that all orbits spiral outwards and there are no invariant curves, since if there were any invariant curves, the orbits would be on the curves.

Let the solution starting on the unit circle in the first quadrant be given by (r(t), θ(t)) where r(t) = 1 for all t, and θ(0) = θ0 (say)

Given, θ' = sin θ

⇒ θ(t) = π/2 - arc tan (e^-t^/2 )

When t → ∞, θ(t) → π/2

This implies that as t approaches infinity, the solution spirals out and approaches the positive y-axis.

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Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

Answer:

Do You Have Picture

Step-by-step explanation:

Mostly likely the focus of the circle, when solving circumference the radius is half of the circle, to the point of the center the circle.

Answer:

x = 1, -1

x = 6i, -6i

Answer:

1, -1, 6i, -6i

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

if you add 2 to another 2 your answer will be

4

The number to be added to the data so that the range of the data becomes 50 is 95.

In statistics, the range of a set of data is the difference between the largest and smallest value.

Given is the data as -

59, 81, 54, 47, 45, or 90

We can sort the data as -

45, 47, 54, 59, 81, 90

For range to be 50 -

x - 45 = 50

x = 9

Therefore, the number to be added to the data so that the range of the data becomes 50 is 95.

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Answer:

The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)

Step-by-step explanation:

Answer:

6 i think i mean i am tring too do my chalinges

Step-by-step explanation:

Answer:

A -40

Step-by-step explanation:

Answer:

the correct answer is D. 40

Answer:

To find the measure of angle KOM without repositioning the protractor, you can follow these steps:

1. Place the protractor on the vertex of the angle, which is point O.

2. Align the base of the protractor with one of the rays of the angle, which is ray OK. Make sure that the zero degree mark of the protractor lines up with the ray.

3. Read the measure of the angle from the protractor. In this case, the measure of angle KOM is the same as the measure of angle KOB, which is 75 degrees.

4. If necessary, you can check your measurement by aligning the protractor with the other ray of the angle, which is ray OM. The measure of angle KOM should be the same as the measure of angle KOM

Step-by-step explanation:

1. Place the protractor on point O, which is the vertex of the angle.

2. Align the base of the protractor with ray OK. Make sure that the zero degree mark on the protractor is lined up with ray OK.

3. Read the measure of the angle from the protractor. In this example, the measure of angle KOB is 75 degrees.

4. Since the measure of angle KOM is the same as the measure of angle KOB, we can use 75 degrees as the measure of angle KOM.

5. If you need to verify your measurement, you can align the protractor with ray OM. The measure of angle KOM should be the same as the measure of angle KOB, which is 75 degrees

Answer:

see explanation

Step-by-step explanation:

Given

5y + 4 = 10 ( subtract 4 from both sides )

5y = 10 - 4 , that is

5y = 6

Thus 5y + 4 = 10 is equivalent to 5y = 6

Answer: y=  9x+6y=15

Step-by-step explanation:

Answer:

y = 3x + 4

Step-by-step explanation:

Given:

Coordinates

(-3 , -5)

Slope m = 3

Find;

Equation of slope

Computation:

Given, x1 = -3 and y1 = -5

Equation of slope = y - y1 = m(x - x1)

Equation of slope = y - (-5) = 3(x + 3)

Equation of slope = y + 5 = 3x + 9

Equation of slope = y = 3x + 9 - 5

Equation of slope = y = 3x + 4

y = 3x + 4

Probability of

=0.0403.

The probability that exactly two of the 14 students selected with replacement will wear wrist watches is 3/30 * 2/29 * 27/28 * 26/27 = 0.0437.

The probability that exactly two of the 14 students selected without replacement will wear wrist watches is 3/30 * 2/29 * 26/28 * 25/27 = 0.0403.

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