in a two-way anova test, the sum of squares for factor a is based on the sum of the squared differences between the mean for each level of factor a and the

Answer:

Yes, they both have a volume of 423.9 inches cubed.

Step-by-step explanation:

Both cylinders have the same volume formula V=(pi)(r^2)(h)

d/2=r=3

h=15

so, (3.14)(9)(15)=423.9

The volume of each cylinder is 423.9

Answer:

The rate of change of a linear function is constant and is equal to the slope of the line.

To find the slope of the line, we can use any two points from the table. Let's use the first and last points:

slope = (19 - 3) / (12 - 0) = 16 / 12 = 4 / 3

This means that the function has a rate of change of 4/3, or 1.33.

Now, let's check each of the answer choices:

a) (18, 27) - This point is not in the table and does not have the correct coordinates.

b) (18, 27) - This point is not in the table and does not have the correct coordinates.

c) (27, 18) - This point is not in the table and does not have the correct coordinates.

d) (27, 18) - This point is not in the table and does not have the correct coordinates.

None of these points are in the table, and therefore none of them could be an ordered pair in the table.

A line parallel to the line 4x + 7y = 49 - 2x + 4y must have a slope of - 2.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given a line that is 4x + 7y = 49 - 2x + 4y.

7y - 4y = - 2x - 4x + 49.

3y = - 6x + 49.

y = - 2x + 49/3.

Now, lines parallel to each other have the same slope.

Now if we simply the given options none of the lines have a slope of - 2 so none of the given lines are parallel to the line 4x + 7y = 49 - 2x + 4y.

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Answer:

A. And E.

Step-by-step explanation:

This is Simple, Just replace X With 2. Then Add :)

A = 2 + 3= 5

E: 2 - 7 = -5 ( Since your Subtracting a Bigger number From a Smaller number, Count Backwards 7 times from 2 on the number line )

Hope this helps

The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

From the question, we have the following parameters that can be used in our computation:

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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Answer:

‎

Step-by-step explanation:

‎

Answer:

B. 16.2

Step-by-step explanation:

I'm not sure but I think its b really srry if I'm wrong

Answer:

c

Step-by-step explanation:

The equation of the line passing through the points (7,4) and (−5,4) in point slope form is y - 4 = 0

The equation of a line can be represented in point slope form as follows;

y - y₁ = m(x - x₁)

where

Therefore, let's find the equation of a line passing through the points (7, 4) and (-5, 4).

Let's find the slope of the line. The slope of the line is the change in the dependent variable with respect tot he change in the independent variable.

Hence,

m = 4 - 4 / -5  - 7

m = 0  / 12

m = 0

Therefore, using (7, 4) the equation in point slope form is as follows;

y - 4 = 0(x - 7)

y - 4 = 0

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Answer:

Hey i believe this is the answer

Step-by-step explanation:

Take a look at the screenshot

Also Desmos graphing calculator is a big help :) It might make you a little more confident

Answer:

13000

Step-by-step explanation:

because 851 is above 500 you add 1 to the 2 then put 000 for the other numbers

Answer:

y = 3x - 2

Step-by-step explanation:

There is no graph so I'll explain with the slope intercept form

slope is m so m = 3

y-intercept is -2 so b = -2

then y = 3x - 2

whichever graph has slope of 3 and y-intercept of -2 is the right answer

Answer:

16

Step-by-step explanation:

(x + 4)(x + 4)

x² + 4x + 4x + 16

x² + 8x + 16

The printed price of the desk on the furniture store is $173. It can be solved by the concept of cost price and selling price.

What is cost price and selling price?

Cost price is the price of the object at which it is purchaged and selling price is the price of the object at which it is sold. If cost price is more than the selling price then the seller will earn a loss. If the cost price is less than then the selling price then the seller will earn a profit.

The cost price of the furniture = $144

Now, 20% of cost price is,

\(=\$ 144\times\frac{20}{100}\\=\$28.8\)

Now, price of furniture on the store = Cost price + 20% of cost price

                                                           = $144 + $28.8

                                                           = $172.8$

Round off the price                           = $173

Hence, the printed price of the desk on the furniture store is $173.

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Answer:

B: Compare the slopes. If they are different, there will be one solution.

Step-by-step explanation:

I gottchu guys :)

Answer:

Step-by-step explanation:

Answer:

741.63km

Step-by-step explanation:

From the above question, we know the following things:

Diameter of the Earth = 12756000m

Diameter of the new planet = 5/86 of the Diameter of the Earth

Diameter of the new planet =

5/86 × 12756000m

= 741627.90698m

The diameter of the new planet = 741627.90698m

We were asked to find the diameter of the new planet in km, hence we convert from meters to kilometers

1m = 0.001km

741627.90698m =

741627.90698 × 0.001km

= 741.62790698km

Approximately = 741.63km

Therefore, the diameter of the new planet = 741.63km

Answer: use tiger algebra

Step-by-step explanation: .

179/4=44.75000

Answer:

the answer should be 179/4

Step-by-step explanation:

The total Social Security and Medicare taxes for the fourth quarter would be $728.00 ($600.00 for Social Security and $128.00 for Medicare). This is calculated by multiplying $5,000.00 by 12.4% for Social Security and 2.9% for Medicare.

The total Social Security and Medicare taxes for the fourth quarter would be $728.00. This is calculated by multiplying the total wages for the quarter ($5,000.00) by 12.4%, the Social Security tax rate for self-employed individuals, and then multiplying the same wages by 2.9%, the Medicare tax rate for self-employed individuals. This gives us $600.00 for Social Security taxes and $128.00 for Medicare taxes, for a total of $728.00. The Social Security tax rate is applied up to the wage base of $128,400 for the year.

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The data set contains the variable height (giving a person's height) and the variable gender (coded O=female, 1=male). Then the y-intercept of the regression equation predicting height from gender is given by: option c) the average height of females in the data set.

The y- intercept of a direct retrogression relationship represents the value of one variable when the value of the other is zero. Non-linear retrogression models also live, but are far more complex. Retrogression analysis is a important tool for uncovering the associations between variables observed in data, but can not fluently indicate occasion. The data set contains the variable height (giving a person's height) and the variable gender (enciphered O = womanish, 1 = manly). also the y- intercept of the retrogression equation prognosticating height from gender is given by option c) the average height of ladies in the data set.

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The rate of interest is 3.4% (to the nearest tenth of a percent)

With compound interest, the old amount is added to the interest gotten from the old amount to get the new amount. This process is repeated at regular intervals over a period of time.

The compounded amount formula is given by

\(A=P \left(1+\dfrac{r}{n}\right)^{nt}\)

where

\(A=\text{the amount gotten after t years}\\P=\text{the original investment}\\r=\text{the rate, as a decimal fraction}\\n=\text{the number of times the interest is compounded, per year}\\t=\text{the overall duration of the deposit, in years}\)

From the question,

we want to use the given information to calculate the interest rate Oliver will need in order to end up with $4,600.

First rearrange the formula so that the rate becomes the subject.

\(A=P \left(1+\dfrac{r}{n}\right)^{nt}\\\\\dfrac{A}{P}=\left(1+\dfrac{r}{n}\right)^{nt}\\\\\sqrt[4t]{\dfrac{A}{P}}=1+\dfrac{r}{n}\\\\\sqrt[4t]{\dfrac{A}{P}}-1=\dfrac{r}{n}\\\\n\left(\sqrt[4t]{\dfrac{A}{P}}-1\right)=r\)

substituting the values in the problem into the rearranged formula, we can calculate the decimal value of \(r\)

\(r=n\left(\sqrt[4t]{\dfrac{A}{P}}-1\right)\\\\=4\left(\sqrt[4(18)]{\dfrac{4600}{2500}}-1\right)\\\\\approx0.034\)

The rate of interest, to the nearest tenth of a percent, is

\(0.034\times 100\%=3.4\%\)

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Answer:

For 1 cup of  pineapple 1 .5  cups of strawberries are used.

Step-by-step explanation:

This question can be solved by using ratios

Strawberry       :      Pineapple

1     cup              :          2/3 cup

x cup                  ;            1 cup

Using the cross product rule

2/3 * x= 1*1

x= 1*1 ÷ 2/3

x= 1*3/2= 1 1/2= 1.5

For 2 cups of pineapple 3 cups of strawberries are used.

For 1 cup of  pineapple 1 .5  cups of strawberries are used.

For 3 cups of pineapple 4.5 cups of strawberries are used.

Answer:

135°

Step-by-step explanation:

π in radian = 180°

∴ 9π in radians = 9 X 180° = 1620°

Then 9π/12 = 1620°/12 = 135°

Step-by-step explanation:

(21 - 3) ÷ 32

BIDMAS

Brackets: 21 - 3 = 18

Division: 18 ÷ 32 = (0.5625)

Answer:

False

Step-by-step explanation:

\(V=bhw\\V=7.5*13*2\\V=195\)

Answer:

Step-by-step explanation:

1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.

2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.

3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.

A radius that meet the chord at center C, and divides it into two equal parts.

So that;

AC = CB = 5 units

Applying Pythagoras theorem to ΔOCB,

OC = d, CB = 5 units and OB = 13 units

\(13^{2}\) = \(5^{2}\) + \(d^{2}\)

169 = 25 + \(d^{2}\)

169 - 25 = \(d^{2}\)

144 = \(d^{2}\)

⇒ d = \(\sqrt{144}\)

       = 12 units

Therefore, the chord is at a distance of 12 units to the center of the circle.

A chord is a straight line joining 2 points on the circumference of a circle.

The line that connects any two points of the circumference of a circle is known as a chord.

Theorem: A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.

Converse: The perpendicular bisector of a chord passes through the center of a circle.

Problem: In the given figure the radius of the circle is 5 cms. what is the length of the chord?

Solution:

Given to us,

radius of the circle, r = 5 cms,

RA = 1 cm,

Radius, r = OA = OP = OQ = 5 cms.

Also, OR = OA - OR = 4 cms.

In ΔOPQ,

According to Pythagorus theorum,

OP² = OR² + RP²

5² = 4² + RP²

RP² = 25 -16 = 9

RP = 3,

We know,

A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.

A radius (OA) that is perpendicular to a chord divides the chord into two equal parts(RP = RQ).

Therefore, chord = RP + RQ = 3+3 = 6 cms.

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Minimization of  f(x) = |x+3| + x^3 at the endpoints (-2 and 6)  the minimum value of the function is approximately 3.84, which occurs at x= \sqrt{1/3}

within the given interval.

To minimize the function subject to the constraint f(x) = |x+3| + x^3 that x lies in the interval [-2, 6], we need to find the value of x that minimizes f(x) within that interval.

First, let's analyze the function f(x). The absolute value term |x+3| can be rewritten as:

|x+3| =

x+3 if x+3 >= 0

-(x+3) if x+3 < 0

Since the interval [-2, 6] includes both positive and negative values of x+3, we need to consider both cases.

Case 1: x+3 >= 0

In this case, f(x) = (x+3) + x^3 = 2x + x^3 + 3

Case 2: x+3 < 0

In this case, f(x) = -(x+3) + x^3 = -2x + x^3 - 3

Now, we can find the minimum of f(x) within the given interval by evaluating the function at the endpoints (-2 and 6) and at any critical points within the interval.

Calculating the values of f(x) at x = -2, 6, and the critical points, we can determine the minimum value of f(x) and the corresponding value of x.

Since the equation involves both absolute value and a cubic term, it is not possible to find a closed-form solution or an exact minimum value without numerical methods or approximation techniques.

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Using the volume formula it is obtained that the least number of bags Martin should buy is Option C: 13.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

First, we need to convert the height of the cylinder from inches to feet -

6 inches = 6/12 feet = 0.5 feet

The volume of the cylinder can be calculated as -

V = πr²h

where r is the radius and h is the height.

Substituting the given values, we get -

V = 3.14 x 2² x 0.5

V = 6.28 cubic feet

Since each bag contains 0.5 cubic feet of sand, we can find the number of bags needed by dividing the total volume by the volume of each bag -

n = V / 0.5

n = 6.28 / 0.5

n = 12.56

Since we can't buy a fractional number of bags, we must round up to the nearest whole number.

Therefore, Martin needs to buy at least 13 bags of sand.

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Answer:

John waited for Brain at the finish line for a half-hour. (or 30 minutes)

Step-by-step explanation:

The rule of the distance is D = s × t, where

Let us use this rule to solve the question

∵ John's speed = 10 miles/hour

∵ Brian's speed = 8 miles/hour

→ Slower speed takes more time

∵ The distance of the trip is 20 miles

∴ D = 20 miles

→ Find the time of each one, using the rule above

∵ D = s × t

→ Find John's time

∴ 20 = 10 × t

∴ 20 = 10t

→ Divide both sides by 10

∴ 2 = t

∴ John's time = 2 hours

→ Find Brian's time

∴ 20 = 8 × t

∴ 20 = 8t

→ Divide both sides by 8

∴ 2.5 = t

∴ Brain's time = 2.5 hours

→ Subtract their times to find for how long John waited

∵ 2.5 h - 2 h = 0.5 h

∴ The difference between their times is 0.5 hour

∴ John waited for Brain at the finish line for a half-hour (or 30 minutes)

Answer:

1/2 hours

Step-by-step explanation:

The function that describes the sequence 4, −2, 1, −1, ... , 41 is given by:an = 10 - 6n.

The sequence 4, −2, 1, −1, ... , 41 is an arithmetic sequence, which means that the difference between each consecutive term is constant. To find the common difference,

we can subtract any two consecutive terms in the sequence. Let's use the first two terms as an example: −2 − 4 = −6. We can see that the common difference is −6.

Thus, the nth term of the sequence can be expressed as follows:an = a1 + (n - 1)dwhere an represents the nth term of the sequence, a1 represents the first term of the sequence, and d represents the common difference.

Using the values given in the problem, we can plug them into the formula and simplify:an = 4 + (n - 1)(-6)an = 4 - 6n + 6an = 10 - 6n

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