Use a graphing calculator or other technology to answer the
question.
Which quadratic regression equation best fits the data set?
ŷ-1229.14x² - 379.14x + 32.86
ŷ 32.86x² - 379.14x + 1229.14
y= 32.86x² - 379.14x
y = 32.86x² + 379.14x1229.14

The angles that you get when a circle is divided into 4 equal parts, would be four 90 degree angles.

The reason these angles are called 'right angles' is because they create an exact 90-degree angle, signifying one fourth of a complete circle. Every specific angle is named as a 'quadrant,' as it covers a quarter or a quadrant of the circle.

These four perpendicular angles stand side by side - having in common not just one diameter of the circle but also a shared vertex, which is at the center of the circle. Together, they share uniformly the circle into four unique sections - each turning toward a distinct quadrant of the circle parallel to their placement.

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If 5 is subtracted from the square of a number, the positive solution is √5.

In this exercise, you are required to determine or solve for an unknown number as follows. First of all, we would assign a variable to the unknown number and then translate the word problem into an algebraic expression as follows;

Assuming the unknown number is represented by the variable x.

Therefore, the required algebraic expression is given by;

x² - 5

In order to determine the positive solution, we would have to equate the algebraic expression to zero as follows;

x² - 5 = 0

x² = 5

x = ±√5

x = √5 (positive solution)

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Answer:

The 80.6 square foot roll is less expensive per square foot since it costs $0.03/square foot compared to the other which costs $0.02/square foot

Step-by-step explanation:

Because the question asks which of the two paper towel rolls is less expensive per square foot, we must find the unit rate of both rolls (specifically, cost per 1 square foot)

We can find the unit rate using a proportion:

53.7 square foot roll

[tex]\frac{1.49}{53.7}=\frac{x}{1} \\1.49=53.7x\\0.0277=x\\0.03=x[/tex]

80.6 square foot roll

[tex]\frac{1.89}{80.6}=\frac{x}{1} \\1.89=80.6x\\0.0234=x\\0.02=x[/tex]

Thus, per square foot, the 80.6 square foot roll is less expensive than the 53.7 square foot roll

The formula for T in terms of m and p is: [tex]T = 15m + 40p[/tex]

We are given that number of marbles in each small bag is 15, and Rosanna sells m small bags, so the total number of marbles in the small bags is: [tex]15m[/tex]

Also given that number of marbles in each large bag is 40, and Rosanna sells p large bags, so the total number of marbles in the large bags is:[tex]40p[/tex]

So, total number of marbles that Rosanna sells is the sum of the marbles in the small bags and in the large bags will be addition of both values which will give us: [tex]T = 15m + 40p[/tex].

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If the number of papers is 56, the ratio of the total height in millimeters of 2 mm thick paper to the total height in millimeters of 23 mm thick paper is 2:23.

The ratio is the relative size of two comparable quantities, values, or numbers.

Ratios are computed as the quotients of one value (the numerator) and another (the denominator).

We can depict ratios as decimals, fractions, percentages, or in their standard forms (:).

The total height in millimeters of 2 mm thick paper = 112 mm (56 x 2)

The total height in millimeters of 23 mm thick papers = 1,288 mm (56 x 23)

Ratio = 0.0869 (112 ÷ 1,288) or 2/23 or 8.69%.

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The graph of the table is attached accordingly. It examines the relationship betwen Hours and Height of the tides.

The graph shows that there is very wide variations between the height of the tides.

The relationship cannot said to be inverse or positive

Note, the following are three advantages of graphs: It makes data more attractive and understandable. It aids in the concise summarization of facts. It allows for more accurate data comparison.

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By solving equations we get to know that your cousin bought 356 shares of BP and 1448 shares of Exxon.

Initial investment:

x shares of BP at $90.75 per share + y shares of Exxon at $87.25 per share = $97,918.25

Sale of shares:

x shares of BP at $82.75 per share + y shares of Exxon at $61.25 per share = $74,090.25

We now have two equations with two variables, which we can solve using either substitution or elimination

0.875x($90.75) + 0.875y($87.25) = $85,648.23

x($82.75) + y($61.25) = $74,090.25

0.875x($90.75) - x($82.75) = $11,558.98 - 0.875y($87.25) + y($61.25)

0.875x($8) = $11,558.98 - 0.875y($26)

7x = $11,558.98 - $22.75y

We can then substitute this expression for "x" into either of the original equations to solve for "y".

(7($11,558.98 - $22.75y))/$8 + y($87.25) = $97,918.25

$81,763.03 - $19.9375y + $87.25y = $97,918.25

$7.0125y = $10,155.22

y = 1448

and x = 356

Hence, your cousin bought 356 shares of BP and 1448 shares of Exxon.

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Answer:

3 years

Step-by-step explanation:

1. Find 5 percent of 50.

5 percent of 50 is 2.5.

However, we are talking about money so we will say 2.50.

2. Add to 50 until you reach your desired number.

50 + 2.50 = 52.50

52.50 +2.50 = 55

55+2.50 = 57.50

Finally we have reached 57.50. It took us 3 equations to get there and therefore took 3 years.

Answer:

c

Step-by-step explanation:

Answer:  C

Step-by-step explanation:

A.  incorrect.  Acute is when all the angles in the triangle are less than 90, not including 90 ex. (35, 65,80)

B.  incorrect.  Obtuse is when you have 1 angle greater than 90, not including 90.  ex( 100,20, 60)

C. correct, Right is when you have have 1, 90 degree angle.  That symbol in the corner of the triangle means the lines are perpendicular, which means it forms  right angle or 90 degree angle

D, incorrect because C is true

1) Matrices that have determinants are square matrices

2) Due to the inverse matrix's calculation utilizing a matrix's determinant, the determinant and the inverse matrix are connected.

3) The determinant affects whether a matrix has an inverse.

A matrix is a collection of numbers that have been sorted into rows and columns to create a rectangular array. The elements, or entries, of the matrix are the integers.

If and only if the determinant of a square matrix A is nonzero, the matrix has an inverse. The matrix A is referred to as singular and devoid of an inverse if its determinant is zero.

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Comparing the percent of water, we can see that Tristan's mix has a higher percent of water, which means it will be more watery so  Tristan's mix will be more watery than Yaritza's mix.

To determine whose mix will be more watery, we need to compare the percent of water in each mix.

The higher the percent of water, the more watery the mix will be.

Tristan's mix has a total of 7 + 3 = 10 cups of liquid

The percent of water in Tristan's mix is: (7 cups of water / 10 cups of liquid) x 100% = 70%

Yaritza's mix has a total of 2 + 1 = 3 cups of liquid (water + powdered lemon mix).

The percent of water in Yaritza's mix is: (2 cups of water / 3 cups of liquid) x 100% = 66.7%

Comparing the percent of water, we can see that Tristan's mix has a higher percent of water, which means it will be more watery.

Therefore, Tristan's mix will be more watery than Yaritza's mix.

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The best reason why 2/5 is the exact quotient for 1/4 divided by 5/8 is: ²/₅ * ⁵/₈ = ¹/₄

To divide fractions, firstly, you need to turn the 2nd fraction upside down. For example, 3/8 divided by 3/4 would be 3/8 divided by 4/3. After you have flipped the second fraction, you multiply them - 3*4 = 12. 8*3 = 24 so the answer would be 12/24. Which then could be cancelled down to 1/2.

Now, from the given question, we can say that:

1/4 ÷ 5/8

Now, from the earlier step in dividing fractions, the next step is to turn the 2nd fraction upside down and multiply by the first to get:

¹/₄ * ⁸/₅ = ²/₅

Rearranging, we have:

²/₅ * ⁵/₈ = ¹/₄

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Complete question is:

Which is the best reason why 2/5 is the exact quotient for 1/4 divided by 5/8

Answer: graphed and attached

Step-by-step explanation:

to graph a y intercept and slope, first find the y intercept on the graph and place your point. here the y intercept is 3, so (0, 3) because x=0 at a y intercept.

next use slope to find your next point. slope of -2 is the same as -2/1 or down -2 and right +1. so from your y intercept of 3, go down -2 and right 1 and place your point (1, 1). do this again for a 3rd point at (2, -1).

graph is attached.

1. The Height of the stone after 5s is 490feet

2. The time it will reach the ground 8.98s

3. The velocity of the stone when it hits the ground is 287.33 feet/s

Motion under gravity refers to the movement of an object whose vertical motion is affected by the presence of gravity.

The equation of motion under gravity is given as;

H = ut ± 1/2gt²

v² = u²±2gh

v = u ± gt

1. The height = 18 × 5 -1/2 ( -32) 5²

h = 90+ 400

h = 490 feet

2. The time to reach the ground is calculated as;

h = ut + 1/2gt²

at max height u = 0

total height = 490+800

= 1290m

1290 = 1/2 × 32t²

2580 = 32t²

t² = 80.6

t = √80.6

t = 8.98s

3. The velocity when it reach the ground is

v² = u²+ 2gh

v² = 2× 32 × 1290

v ² = 82560

v = √82560

v = 287.33feet/s

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The volume of the composite solid is 980.2 cm³.

A composite solid is a solid made of two or more well-defined solid objects.

To calculate the volume of the composite solid, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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Answer:

Multiply row 1 by 1/7

The resulting matrix is
[tex]\begin{pmatrix}1&-\frac{4}{7}&\frac{8}{7}\\ -12&7&-13\end{pmatrix}[/tex]

Step-by-step explanation:

Original matrix is
[tex]\begin{pmatrix}7&-4&8\\ -12&7&-13\end{pmatrix}[/tex]

Multiplying any one row by a nonzero scalar is a valid matrix operation. This will not affect the final solution of the matrix

So all we have to do is to multiply row 1 by 1/7 and you get a 1 in row 1, column 1

[tex]R_1 \times \dfrac{1}{7} \longrightarrow \begin{pmatrix}1&-\frac{4}{7}&\frac{8}{7}\\ -12&7&-13\end{pmatrix}[/tex]

Using the sine ratio, the value of p in the right triangle, in simplest form is: p = 4.

To find the value of p, we have to determine what formula to use. We would apply the sine ratio, which is:

sin ∅ = opposite side / hypotenuse.

From the right triangle in the diagram, we have:

sin 30 = p / 8

p = sin 30 * 8

Note: sin 30 = 1/2

Therefore, we have:

p = 1/2 * 8

p = 4

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Answer:

[tex](x-6)^2+(y+7)^2=4[/tex]

Step-by-step explanation:

The formula for the equation of a circle is:

[tex]\boxed{(x-h)^2+(y-k)^2=r^2}[/tex]

where:

From inspection of the given graphed circle, we can see that the coordinates of its center are (6, -7), and its radius is 2 units. Therefore:

To determine the equation of the graphed circle, substitute these values into the equation of a circle formula:

[tex]\implies (x-6)^2+(y-(-7))^2=2^2[/tex]

[tex]\implies (x-6)^2+(y+7)^2=4[/tex]

Therefore, the equation of the graphed circle is:

[tex]\boxed{(x-6)^2+(y+7)^2=4}[/tex]

The standard deviation of the sum S = I + O is [tex]$1,508.48[/tex]. The Option C is correct.

In order to calculate standard deviation of the sum S = I + O on the information given from the question, we can use this formula: "SD(S) = sqrt[SD(I)^2 + SD(O)^2 + 2Cov(I,O)]".

Details:

SD(I) & SD(O) means standard deviations of in-state and out-of-state tuition.

Cov(I,O) means covariance between the two variables.

The two variables I and O are independent

Their covariance is zero

Now, we can solve the S.D. using the formula. The SD(S):

= sqrt[SD(I)^2 + SD(O)^2]

= sqrt[(1003.25)^2 + (1126.50)^2]

= sqrt[1006510.5625 + 1269002.25]

= sqrt[2275512.8125]

= 1508.48029901

= $1508.48

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a) For Super Home, the superior (or dominant) tactic is to magnify the size of the store and parking lot. This is, regardless of what Great Home does, Super Home's payoff is amplified when it expands its size ($1m vs $0.4m if Great Home amplifies; $3.2m vs $2m if Great Home passes).

Similarly, for Great Home, the logical (or dominant) strategy is also to expand the size of the store and parking lot. This is because, although unrelated to Super Home's decision, Great Home's payoff is augmented when it enlarges its size ($1.5m vs $0.6m if Super Home magnifies; $3.4m vs $2.5m if Super Home disallows).

b) If both stores implement their authoritative plan, Great Home will witness an annual profit growth of $1.5 million, and Super Home will observe an annual profit growth of $1 million.

A Nash Equilibrium comprehends a state wherein each player chooses their finest ploy given the stratagems selected by the other participant(s), and no player can modify their consequence through exclusively adapting their strategy. In this case, the Nash Equilibrium exists in (Increase, Increase), which spans over the payoffs ($1.5m, $1m).

c) The conjunctive approach both stores should commit to would be for Great Home to amplify the size of its store and parking lot, and Super Home to renounce increasing its size.

Under this harmonized approval, the annual profit growth for Great Home will come out at $3.4 million, and for Super Home, it will arrive at $0.4 million. This system gives rise to a higher collective gain compared to the Nash Equilibrium.

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The length of ZL and IL is 297.72 ft and 283.15 ft respectively.

The lengths of ZL and IL is calculated by applying trigonometry ratio as follows;

SOH CAH TOA

SOH = sin θ = opposite /hypothenuse side

TOA = tan θ = opposite side / adjacent side

CAH = cos θ = adjacent side / hypothenuse side

The hypothenuse side = ZL and the adjacent side = IL.

tan 18 = 92/IL

IL = 92/tan (18)

IL = 283.15 ft

sin 18 = 92/ZL

ZL = 92/si 18

ZL = 297.72 ft

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the volume of a cylinder is 2009. 6 cubic feet

The formula for calculating the volume of a cylinder is expressed as;

V = πr²h

Given that the parameters in the equation are;

From the information given, we have that;

Diameter = 2 radius

Substitute the values

Radius = 8ft

Then,

Volume = 3.14 × (8)² × 10

Find the square

Volume = 3.14 × 64 × 10

Multiply the values

Volume = 2009. 6 ft³

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Answer:

Step-by-step explanation:

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Answer:

Hii^^ Here's your answers:
5 hrs=$150 earned
7 hrs=$210 earned
9 hrs=$270 earned

Step-by-step explanation:

30x = amount earned
x = hours

Answer:(5,150) (7,210) (9,270)

Step-by-step explanation: For each hour she works, she earns 30 dollars.

Number of hours: Money she earns

1:30

X stands for the amount of money she earns. So for 5 hours, we can write this:

5:X

To get from 1:30 to 5:x, you multiply by 5. 1x5=5. So you multiply 30x5 and get 150. Do the same for the other situations, and you get:

5:150

7:210

9:270

To plot them on the graph, the number of hours she works is x, and the money she earns is y.

So, put these on the graph:

(5,150)

(7,210)

(9,270)

Answer:

$1.16

Step-by-step explanation:

Area of the circle

a = [tex]\pi r^{2}[/tex]

a = (3.14)[tex]1.5^{2}[/tex]

a = 3.14(2.25)

a = 7.065

Area of the triangle

a = 1/2bh

a = 1/2(1.5)(1)

a = .75

There are two triangle so the blue area is 1.5 [tex]ft^{2}[/tex]

.33 x 1.5 = .495  This is the cost of the blue paint

The circle minus the triangle is the area of the whit part

7.065 - 1.5 = 5.565

5.565 x .12 = .6678

The total cost of paint will be .495 + .6678 = 1.1628 Rounded to the nearest cent is $1.16

Helping in the name of Jesus.

Answer:

0.0

Step-by-step explanation:

To find 0.007 divided by 0.498, we can perform the following calculation:

0.007 / 0.498 ≈ 0.0141

Rounding this to the nearest tenth gives:

0.0141 ≈ 0.0

Therefore, the result, rounded to the nearest tenth, is 0.0.

Answer:

A

Step-by-step explanation: