Substitute x = 9.4, y = -1.7, and z = 4.8 into the expression 2y² - 4x + 8z.

The estimated contribution for Rosemary's first-year college fee is $6,500 including all her savings and available funds.

Savings of Rosemary = $2,500

Savings from bond = $1000

To calculate the contribution needed for Rosemary from other sources, to pay her college fee, we need to add all the available funds and subtract the money for her college fee.

Let us imagine that the total cost of Rosemary's college = $10,000

Total available funds = $2,500  + $1,000

Total available funds = $3500

The remaining amount needed = $10,000 - $3,500 = $6,500

Therefore, we can conclude that Rosemary would need an estimated contribution of $6,500.

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Multiple regression analysis analyze more than one dependent variable at a time and multicollinearity occurs when the X variables are highly correlated with the Y variable in multiple regression are false. Correct option is D.

The statement (A) that "Multiple regression analysis allows you to analyze more than one dependent (Y) variable at a time" is false. In multiple regression, there is only one dependent variable (Y) that is being predicted by a combination of independent variables (X).

The statement (B) that "Multicollinearity occurs when the X variables are highly correlated with the Y variable in multiple regression" is also false.

Multicollinearity occurs when two or more independent variables (X) are highly correlated with each other, which can cause problems in accurately estimating the effect of each independent variable on the dependent variable.

The statement (C) that "Multicollinearity occurs when two or more of the X variables are highly correlated with one another" is true.

Therefore, the correct answer is (D) "Both A and B are false statements."

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Answer:

224 cm³

Step-by-step explanation:

Volume = Area of base x height

V = 32 x 7

V = 224 cm³

In this question, all the required information is given so we'll simply have to solve.

\(\large\boxed{\bold{V= \ base \ area× \ height}}\)

Now, substitute the values according to the formula.

\(V= \ 32 × 7\)

\(\large\boxed{\bold{ V= \ 224 \ {cm}^{3}}}\)

The answer is a whole number so we won't have to round off.

Hence, the volume of the given rectangular prism is 224 cubic centimeters.

The heat flux from the tube to the air can be calculated using the given formulas for external flow and fully developed internal flow. For the external flow over the tube in cross-flow conditions, the heat flux can be determined using the equation: 0.62 * Re * b^(2/3) * Pr^(1/2) * Nu_p = 0.3 * (Re_d)^2 * (282,000)^[(5/8)/(74/5)] * (1 + [1 + (0.4/Pr)^(2/3)]^(1/4)) * P_A_L. For fully developed internal flow conditions, the heat flux can be calculated using the equation: 4/5 * Nu_p = 0.023 * (Re)^[(4/5)] * (Pr)^0.4.

My advice to the engineer would be to analyze both options and compare the calculated heat flux values for the two cases. The engineer should select the option with the lower heat flux value, as this would indicate a more efficient cooling method. Additionally, other factors such as cost, feasibility, and practicality should also be considered in making the final decision.

In conclusion, the engineer should calculate the heat flux values for both external flow over the tube and fully developed internal flow, and then compare them to determine the most suitable cooling method for the pipe maintained at 122 °C.

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Hey there! I'm happy to help!

Hey there! I'm happy to help!

First, let's find the area of the circle of the first cylinder. To do this, we square the radius and multiply by 3.14.

3²=9

9×3.14=28.26

Now we multiply by our height of 49 cm to see how much water there is.

28.26×49=1384.74

Now, let's find the area of the circle of the 7 cm cylinder.

7²=49

49×3.14=153.86

Now, we will take our liquid amount (volume) and divide by this circle amount (base) to find the number of centimeters of height of the water column.

1384.74÷153.86=9

So, the height of our water column will be 9 cm.

Have a wonderful day and keep on learning! :D

she would have four seeds left because 6 seeds times six pots would equal 36 seeds so subtract 36 from forty to get four

Step-by-step explanation:

Answer:4

Step-by-step explanation:6x6=36+4=40

Answer:

C. (3,2)

Step-by-step explanation:

In geometry, a vertex is a point where two or more lines and/or curves meet. And on this graph were the two lines meet is at (3,2) so the answer would be C. (3,2)

Answer:

Step-by-step explanation:

Since one equation has -4x and the other has 4x one can simply add the equations together to eliminate the variable x.

4x+8-4x-2y=-24-12

8-2y=-36 subtract 8 from each side

-2y=-44 divide each side by -2

y=22, and since 4x+8=-24

4x=-32 divide each side by 4

x=-8, so the solution is at the point

(-8,22)

Answer:

-4x - 2y = -12

4x + 8 = -24      typed incorrect should be 4x + 8y = -24

Step-by-step explanation:

add the two equations all like terms

-4x - 2y = -12

4x + 8y = -24

-4x + 4x = 0x

-2y + 8y = 6y

-12 + -24 = - 36

now reconstruct the equation

0x + 6y = -36

       6y = -36

        y  = -36/6             <----------------------   Final Answer is y = -6

Find x

-4x - 2y = -12

-4x = -12 +2y

-2x  = -6 + y                     divide both sides by -2

   x = (-6+y)/-2                 plug in -6 for y

   x = (-6 + -6) / -2

   x = -12 /-2

   x = 6    <----------------------   Final Answer is x = 6

checking answer for x=6 and y= -6

-4x - 2y = -12    -4(6) - 2(-6)      =     - 24 + 12   = -12        -12 = -12

4x + 8 = -24      4(6) + 8(-6)      =       24 + -48 = -24       -24 = -24

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Answer:

does it want the degree????

The criticism of General Robert E. Lee's plan for Day 3 at Gettysburg largely stems from the fact that it ultimately failed. However, it is important to consider the context in which Lee made his decisions. At the time, he could not have known the outcome, and his plan may have seemed viable given the information available to him.

In hindsight, we can identify certain flaws in Lee's plan, such as underestimating the Union's defensive position and the strength of their artillery. However, it is difficult to say whether Lee could have foreseen these issues at the time.
As for whether there was a better choice, alternative strategies could have been pursued, such as targeting the Union's flanks or adopting a defensive posture and waiting for the Union to attack. However, it is impossible to determine if these options would have led to a Confederate victory.
In summary, while the failure of Lee's plan for Day 3 at Gettysburg contributes to the criticism it receives, it is essential to consider the context in which the plan was developed and the uncertainty that Lee faced when making his decisions.

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Answer:

D=-64

Step-by-step explanation:

-10(d+56)=80

d+56=8

d=8-56

d=-64

Answer:

Step-by-step explanation:

Well, all we have to do is square 12.

= \(12^{2}\)

= 12 x 12

= 144

The total square footage of the room is 144 feet.

I am not sure if this answer is correct, so please tell me if I am wrong. I hope this answer helped you! :)

Answer: honestly good question

good luck brothah

Both triangles are congruent by either ASA or AAS Congruence Theorem. hence, the right answer is A: Yes, they are congruent by either ASA or AAS.

The ASA Congruence Theorem states that the two triangles are congruent if they have two pairs of congruent angles and a pair of congruent included sides.

The AAS Congruence Theorem states that the two triangles are congruent if they have two pairs of congruent angles and a pair of congruent non-included sides.

Triangle LMQ is shown in the figure attached below.

Thus, Proving

Triangle MNL ≅ triangle QNL (ASA)

Triangle MNL and triangle QNL have two pairs of congruent angles:

<LNM ≅ LNQ and <MLN and <QLN

Also, they have a common side: side LN (included side).

Therefore, Triangle MNL and triangle QNL are congruent by ASA.

Triangle MNL ≅ triangle QNL ( by AAS)

Triangle MNL and triangle QNL have two pairs of congruent angles:

<LNM ≅ LNQ and <NML and <NQL

Also, they have a common side: side LN (non-included side).

Thus, Triangle MNL and triangle QNL are congruent by ASA.

Hence, the right answer is: A: Yes, they are congruent by either ASA or AAS.

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Answer: option A

Step-by-step explanation:

Answer:

The base angles of an isosceles trapezoid are equal in measure (there are in fact two pairs of equal base angles, where one base angle is the supplementary angle of a base angle at the other base

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The x repeats

Answer:

D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 570 because if you multiply 38 times 15 = 570 so it is 570. Thank you for answering to hope this helps you if you need more help contact me!

Answer:

$5.70

Step-by-step explanation:

Since it is 15% to make it a decimal you would move the decimal 2 places to the left to make it 0.15 and then multiply like this 38(.15) which is 5.7. So, shipping and handling is $5.70.

Answer:

k

Step-by-step explanation:

the width of the river is approximately 64.03 feet.

To determine the width of the river, we can use the concept of triangle similarity.

Let's assume that the river width is represented by the variable "x".

From the information given, we have a right triangle formed by the river, the fishing hole, and the campsite. The campsite is located 200 feet from the fishing hole, and the river width is the unknown side.

Using the Pythagorean theorem, we can set up the equation:

x^2 + 200^2 = (200 + 110)^2

Simplifying the equation:

x^2 + 40000 = 44100

x^2 = 44100 - 40000

x^2 = 4100

Taking the square root of both sides:

x = sqrt(4100)

x ≈ 64.03 feet

Therefore, the width of the river is approximately 64.03 feet.

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Answer:

6

Step-by-step explanation:

Answer:

It might be 11 but u try ur best

The average of the 150 measurements is 24.33, and Quantity B with a value of 25 is greater.

To compare the averages of the 150 measurements, let's calculate the total sum of all the measurements.

For the first set of 100 measurements with an average of 23, the total sum is 100 * 23 = 2300. For the second set of 50 measurements with an average of 27, the total sum is 50 * 27 = 1350.

To find the average of all 150 measurements, we need to find the total sum of all 150 measurements. Adding the two total sums calculated above, we have 2300 + 1350 = 3650.

To find the average, we divide the total sum by the total number of measurements: 3650 / 150 = 24.33.

Comparing the average of the 150 measurements to the individual averages A and B:

Quantity A: 24.33

Quantity B: 25

Since 25 is greater than 24.33, the answer is that Quantity B is greater.

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The gradient of the tangent at the point (2,-5) on the curve y = x³ - 5x² + 7 is -23.

To find the gradient of the tangent at a point on a curve, we need to find the derivative of the curve and evaluate it at that point. The derivative gives us the rate of change of the function at any given point.

Taking the derivative of the given curve, we have:

dy/dx = 3x² - 10x

Substituting x = 2 into the derivative, we get:

dy/dx = 3(2)² - 10(2) = 12 - 20 = -8

Therefore, the gradient of the tangent at the point (2,-5) is -8. However, the gradient refers to the rate of change in the y-direction for a unit change in the x-direction. So, the gradient is negative 8, meaning the tangent line is decreasing as x increases.

To convert this into a positive slope, we take the negative value:

Gradient of the tangent = -(-8) = 8

Hence, the gradient of the tangent at the point (2,-5) on the curve y = x³ - 5x² + 7 is 8.

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The complete question is

A point (2,-5) lies on the curve y = x³ - 5x² + 7. Calculate the gradient of the tangent at this point.

The inflection points of the given function are at x = 0 only. The answer is D.

To find the inflection points of the given function, we need to find the second derivative of the function and set it equal to zero.

y = 5x^4 - x^5

y' = 20x^3 - 5x^4

y'' = 60x^2 - 20x^3

Setting y'' = 0, we get:

60x^2 - 20x^3 = 0

20x^2(3 - x) = 0

x = 0 or x = 3

Now, we need to determine whether these values of x correspond to inflection points. To do this, we can examine the sign of the second derivative in the intervals around each value of x.

For x < 0, y'' is positive (since both terms are positive), so there is a local minimum at x = -3.

For 0 < x < 3, y'' is negative (since 60x^2 < 20x^3), so there is a point of inflection at x = 0.

For x > 3, y'' is positive (since both terms are positive), so there is a local minimum at x = 3.

Therefore, the inflection points of the given function are at x = 0 only. The answer is D.

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Answer:$71.50

Step-by-step explanation:

Hello!

So first you want to find out how many bottles of soap you can make

To do that you want to divide how many ounces you have by how many ounces it takes to make 1 bottle

97.5 / 7.5 = 13

So you know you can make 13 bottles of soap

So now you want to multiply the number of bottles of soap that can be made by the amount of money you can make per bottle

13 * 5.50 = 71.50

So you know that the students can make $71.50

A piecewise function is basically a function that behaves differently at different domain intervals.

The given piecewise function is

As you can see, the function has a different expression for the interval x is less than or equal to 3 and a different expression for the interval x is greater than 3.

The easiest way to determine which graph corresponds to the given piecewise function is to evaluate the piecewise function at different values of x and graph it.

Evaluate the piecewise function for the interval x is less than or equal to 3.

Evaluate the piecewise function for the interval x is greater than 3.

Now, let us graph these points

As you can see from the graph, it matches with the graph of the 2nd option.

Therefore, the correct graph of the given piecewise function is the 2nd graph.

Answer:

x = 17

Step-by-step explanation:

These two expressions add to 180.  If you took the top parallel down and put it on top of the second parallel line, you would see that the two expressions would form a straight line.  A straight line has a measurement of 180.

9x + 4 + 2x - 11 = 180  Combine like terms

11x - 7 = 180  Add 7 to both sides

11x - 7 + 7 = 180 + 7

11x = 187  Divide both sides by 11

x = 17

Helping in the name of Jesus.

Answer:

x = 17

Step-by-step explanation:

the angle vertically opposite to (2x - 11) is congruent and equal to (2x - 11)

then

(2x - 11) and (9x + 4) are same- side interior angles and sum to 180° , so

2x - 11 + 9x + 4 = 180

11x - 7 = 180 ( add 7 to both sides )

11x = 187 ( divide both sides by 11 )

x = 17

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true.

The six possible logical implications between pairs of propositions p, q, and r are:

A logical implication is considered true if the antecedent (p or q or r) implies the consequent (q or p or r), meaning that if the antecedent is true, then the consequent must also be true. However, the converse of the implication may not be true, meaning that if the consequent is true, the antecedent may not be true.

Whether or not any of p, q, and r are logically equivalent to another depends on the specific logical relationships between them. Logical equivalence occurs when two propositions have the same truth value, meaning that they are both true or both false, regardless of the truth values of the other propositions.

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Answer:

-2

Step-by-step explanation:

See the image below:)

Answer:

\(x = - 2\)

Step-by-step explanation:

\(x - 8 = - 10 \\ x = - 10 + 8 \\ x = - 2\)