Which type of function best represents the data shown in the table above?
Linear Quadratic Exponential


2. Decide which of the statements are true regarding the table above. 000 The first differences are constant. The ratio of the first difference to the second difference is constant. The second differences are constant.

3. Which type of function best represents the data shown in the table below? Linear Quadratic Exponential
help me pls D:​

Answer:

1.40

Step-by-step explanation:

I feel if you divide $14.00 by 10 you would get 1.40, so  I say this should be the right answer.

I apologize if I am incorrect.

Answer:

The cost per pound is 1.4.

Step-by-step explanation:

If you divide 14 and 10 it makes 1.4.

Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

Answer:

40 slices

Step-by-step explanation:

I rounded 38 to 40 and divided by 8

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

The interquartile range of the given data using R is 13.3

As per the given data,

The midterm scores of an algebra class of 20 students;

69, 84, 52, 93, 81, 74, 89, 85, 88, 63, 87, 64, 67, 72, 74, 55, 82, 91, 68, 77

We have to find the interquartile range using R.

Interquartile Range;-

The interquartile range includes the second and third quartiles or the middle half of your data set (IQR). The range gives the spread of the full data set, whereas the interquartile range gives the range of the middle half of the data set.

Interquartile range = \(Q_{3} -Q_{1}\)

\(Q_{1}\) is the lower quarter

\(Q_{3}\) is the upper quarter

\(Q_{2}\) is the median

Here,

\(Q_{2}\) = 63 +  \($\frac{87}{2}\)

\(Q_{2}\) = \($\frac{150}{2}\)

\(Q_{2}\) = 75

\(Q_{1}\) = 81 + \($\frac{74}{2}\)

\(Q_{1}\) = 77.5

\(Q_{3}\) = 74 + \($\frac{55}{2}\)

\(Q_{3}\) = 64.5

Then,

Interquartile range = \(Q_{3} -Q_{1}\) = - (64 . 5 - 77.5) = 13.3

That is,

The interquartile range for the given data set is 13.3.

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You can determine the median of a triangle by looking out for the point that is 2/3 of the distance tht connects from the vertices, to midpoint and oposite sides.

The perpendicular bisector is determined by measuring the point that is equidistant from the segment.

The altitude of a triangle can be found by measiring the height of the triangle's extension that could be inside or outside the triangle. In obtsue triangles, this altitude is commonly found outside the triangle.

Also, the angle bisector of a triangle is the point that is equidistant from the angles sides. These descriptions can help in analyzing a trinagle.

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The distributive property to write an equivalent expression.

8(4n+ 3) = 32n  + 24

12x-6=  1/2

5x+20= 4

3(x+6)= 3x + 18

7x-35= 5

20p + 16 = 4/5

The distributive property states that multiplying the sum of two or more addends by a number yields the same result as multiplying each addend separately by the number and combining the resulting products.

One of the most common properties in arithmetic is the distributive property. The multiplier is applied to each integer inside the parentheses, and the results are added to obtain the answer. This technique is used to simplify and solve multiplication problems.

the distributive property to write an equivalent  .

8(4n+ 3)

= 8 * 4n + 3* 8

= 32n  + 24

for 12x-6

12x-6  = 0

x = 6/12

x = 1/2

For 5x+20

5x+20 =

x = -4

For 3(x+6)

= 3 * x + 3 * 6

= 3x + 18

For 7x-35

= 35/7

= 5

For 20p + 16

= 20/16

= 5/4

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Answer:

2/7

Step-by-step explanation:

when you divide a fraction by a fraction, flip the second fraction. 1/3 x 6/7 is 6/21, then you reduce it. divide 6 by 3 and 21 by 3, =2/7

Answer:

0.28571428571

Step-by-step explanation:

This is the calculated answer.

But after a lot of. technical,work the answer,ends up be 2/7

The probability of obtaining exactly two 6's in four rolls of a fair die is approximately 0.1608, or about 16.08%.

In probability theory, an outcome is the result of a random experiment, such as rolling a die, flipping a coin, or drawing a card from a deck. An outcome can be a single event, such as rolling a 3 on a die, or a combination of events, such as rolling a 1 and then a 4 on two consecutive rolls of a die.

The probability of an outcome is a number between 0 and 1 that measures the likelihood of that outcome occurring. A probability of 0 means that the outcome is impossible, while a probability of 1 means that the outcome is certain. For example, the probability of rolling a 7 on a single roll of a standard die is 0, because there is no face on the die with a 7. The probability of rolling a 1, 2, 3, 4, 5, or 6 is 1/6 each, because each face on the die has an equal chance of showing up.

The probability of obtaining a 6 on a single roll of a fair die is 1/6. The probability of not obtaining a 6 on a single roll is 5/6.

To obtain exactly two 6's in four rolls, we can use the following approach:

So the probability of obtaining exactly two 6's in four rolls of a fair die is approximately 0.1608, or about 16.08%.

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Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

The task is to create an equation that use the total expense (y) and the total number of bowled games (x). Hence, the way that we will begin is by entering the knowing into the formula of slope intercept form:  y=mx+b.

Thus, we include them in the formula: y=4x+b.

14 = 4(3)+b

Find b

14 = 12+b

14 - 12=b

b = 2

Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

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Complete question:

The total cost for bowling includes the fee for shoe rental plus a fee per game. The cost of the game increases the price by $4. After 3 games, the total cost with shoe rental is $14.

a.write an equation to represent the total cost y to rent shoes and bowl x games.

The unit rate of cups of lemonade per lemon is in the ratio of 6:1.

The unit rate is the ratio of two or more quantities or values that are compared to one another.

Unit rates are also known as the constants of proportionality, constant rate, rate of change, or slope.

The number of lemons required to make 18 cups of lemonade = 3 lemons

Rate of lemonade per lemon = 18/3 = 6/1

Ratio = 6:1 or 1:6

Conversely, the rate of lemon per cup of lemonade = 1/6

Thus, we can conclude that for Zendaya to make 6 cups of lemonade, she requires 1 lemon, or alternatively, the ratio of lemon to a cup of lemonade is 1:6.

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Answer: y = mx + b

Step-by-step explanation:

Answer:

y=-1x+4

Step-by-step explanation:

The features related to vectors are listed below:

Case A: u' = (- 4√41 / 41, - 5√41/ 41)

Case B: Tip coordinantes of vector v: (x, y) = (10, 10)

Case C: r = 11.402

In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.

Case A - Unit vector

Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:

u' = u / ||u||

Where:

Please notice that the magnitude of the vector is determined by Pythagorean theorem:

r = √[(Δx)² + (Δy)²]

Where:

Thus, the unit vector of u is:

u' = (- 4, - 5) / √[(- 4)² + (- 5)²]

u' = (- 4, - 5) / √41

u' = (- 4 / √41, - 5 / √41)

u' = (- 4√41 / 41, - 5√41/ 41)

Case B - Definition of a vector

This can be found easily by vector subtraction:

v = Tip coordinates - Base coordinates

(3, 4) = (x, y) - (7, 6)

(x, y) = (3, 4) + (7, 6)

(x, y) = (10, 10)

Case C - Magnitude of a vector

The magnitude is found by means of Pyhtagorean theorem:

r = √[(- 4 - 3)² + (- 5 - 4)²]

r = √[(- 7)² + (- 9)²]

r = 11.402

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The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

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Answer:

Step-by-step explanation:

Jennier uses to much of each ingredient due to the question stating that she need 2 cups of flower and 0.5 cups of sugar whereas she uses cups of flower (it doesn't specify how many but its plural so I'm guessing since it's not 1 cup of flower its more) and 1 cup of sugar 0.5 cups over the amount required for the cupcakes

Answer:

(7) n = ⁴/₃

(8) x = -5

(9) d = ³/₂

(10) v = -20

Step-by-step explanation:

(7) \(n-\frac{8}{9} = \frac{4}{9}\)

\(n-\frac{8}{9} = \frac{4}{9} \\\\Collect \ similar \ terms \ together\\\\n = \frac{4}{9} + \frac{8}{9} \\\\n = \frac{4+8}{9} \\\\n = \frac{12}{9} \\\\n = \frac{4}{3}\)

(8)

\(\frac{3}{2} + \ x = -\frac{7}{2}\\\\collect \ similar \ terms \ together\\\\x = -\frac{7}{2} -\frac{3}{2} \\\\x = \frac{-7-3}{2} \\\\x = \frac{-10}{2} \\\\x = -5\)

(9)

\(\frac{6}{5} = \frac{d}{(\frac{5}{4} )} \\\\cross \ and \ multiply\\\\5d = 6(\frac{5}{4} )\\\\5d = \frac{30}{4} \\\\d = \frac{30}{4\times 5} \\\\d = \frac{30}{20} \\\\d = \frac{3}{2} \\\\d = 1\frac{1}{2}\)

(10)

\(-\frac{1}{8} v = \frac{5}{2} \\\\\frac{-v}{8} = \frac{5}{2} \\\\cross \ and \ multiply\\\\-2v = 40\\\\-v = \frac{40}{2} \\\\-v = 20\\\\v = -20\)

The three methods are used to select a sample from a larger population in order to make inferences about the population as a whole.

Probability-proportional-to-size sampling is a method where the probability of an item being selected is proportional to its size. In this case, the size is represented by the dollar amount of the sale.

Systematic selection involves selecting items at regular intervals. In this case, the starting point is 13 and the interval is 30. Every 30th item is selected, starting from the 13th item.

The starting dollar is $17,240 and the interval is $220,000. Every item with a sales amount that falls within the interval is selected with a probability proportional to its size.

The random-number table selection technique involves using a random number table to select items. The last four digits of the invoice number are used to determine which item is selected.

The selection process starts at row (0004) and column (01) and continues across the row and then down to the next row.

The probability of an item being selected in each method differs and is important in ensuring a representative sample is obtained.

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Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

Answer:

Y=5x;50 feet

Step-by-step explanation:

Answer:

C is right ಠ_ಠ

Answer:

1.50

Step-by-step explanation:

Answer:

\(\huge\boxed{\$ \ 1.725}\)

Step-by-step explanation:

Costing Price = $ 11.50

Tax = 15% of $11.50 :

=> \(\sf \frac{15}{100} * 11.50\)

=> \(\sf 0.15 * 11.50\)

=> $1.725

So, Sales tax is $1.725

Answer:

30calories

Step-by-step explanation:

Answer:

30 calories per ounce

Step-by-step explanation:

The answer given by rachelwang2022 is correct.

I am just adding to the explanation

Since there are 150 calories in a 5-ounce container, you can determine the number of calories per ounce by simply dividing 150 by 5.

150/5 = 30 calories per ounce

Recall that

\((a+b)^3=a^3+3a^2b+3ab^2+b^3\)

which means

\(\left(r+\dfrac1r\right)^3=r^3+3r^2\left(\dfrac1r\right)+3r\left(\dfrac1r\right)^2+\left(\dfrac1r\right)^3=r^3+3r+\dfrac3r+\dfrac1{r^3}\)

Given that \(r+\frac1r=\sqrt2\), we have

\((\sqrt2)^3=r^3+3\sqrt2+\dfrac1{r^3}\)

\(\implies r^3+\dfrac1{r^3}=2\sqrt2-3\sqrt2=\boxed{-\sqrt2}\)

Answer:

To find the average rate of change just plug the g(5) and g(3) into the slope formula and divide it by 2(5-3)

Step-by-step explanation:

Answer:

i think option B is right

Using the concept of rotational symmetry, the angle of rotation about the center that results in an image that matches the original figure is; Option A:  90

Rotational symmetry is defined as a process that requires the rotation of a given object about a reference point to produce its image which has the same characteristics. This tells us that its dimensions, measure of internal angles and size do not change except its orientation. The orientation depicts the way in which the object is positioned.

here, we have,

The sum of an angle formed at a point is 360 degrees.

Thus turning a given object about a point implies its rotation with respect to a measured  angle.

Thus in the diagram given in the question, the pattern shown divides the angle at the centered point into four equal parts.

Thus;

Angle of rotation = 360/4 = 90 degrees

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Answer:

…, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …

Step-by-step explanation:

0, 1, 2, 3, 4, …

…, −4, −3, −2, −1, 0

…, −3, −2, −1, 0, 1, 2, 3, …

…, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …

Answer:

Point of intersection of its diagonals

Step-by-step explanation: