The graph shows the number of weeks of practice (x) and the number of shots missed in a free-throw drill (). The equation of the trend line that best fits the data is y = -x + 6. Predict the number of missed shots after 8 weeks of practice. OA. 5 B. 3 C. 2 OD. 4 Number of shots missed 1 2 3 4 5 6 7 8 9 Weeks of practice​

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Explanation:

We can pick any two rows from the table to get the (x,y) points needed to find the slope.

Let's say we pick the second and third rows

Subtract the y values: 14-6 = 8

Subtract the x values in the same order: 1-3 = -2

Divide the differences: 8/(-2) = -4

The slope is -4

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You can use the slope formula

Let's say the points are (x1,y1) = (1,14) and (3,6)

m = (y2-y1)/(x2-x1)

m = (6-14)/(3-1)

m = -8/2

m = -4

It's the same basic idea as the previous section. You subtract the y values together (y2-y1) and the x values together (x2-x1) and divide the differences to get m. The order of subtraction doesn't matter as long as you stay consistent. If you do something like y2-y1 and x1-x2, then you'll get the wrong slope value.

There are 3feet in one yard.

Let B = number of feet

Let Y = number of yards

B = 3Y

Emma needed to budget an extra $87.00 - $24.00 = $63.00 for eating at restaurants instead of eating at home.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

Emma spent a total of $29.00 x 3 = $87.00 on eating at restaurants.

If Emma had eaten at home, she would have spent $8.00 x 3 = $24.00.

Therefore, Emma needed to budget an extra $87.00 - $24.00 = $63.00 for eating at restaurants instead of eating at home.

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There is no minimum weight for the tank since the weight depends on the thickness 'h' of the tank.

Let's assume the length and width of the square base of the tank are represented by 'x', and the height of the tank (thickness) is represented by 'h'. Since the tank has an open top, we don't need to consider the thickness of the top.

The volume of the tank is given as 32 \(in^3\):

Volume = length × width × height

      = x × x × h

      =\(x^{2}\) × h

Now, we need to express the weight of the tank in terms of its dimensions. The weight of the tank can be calculated by multiplying the volume by the density of the steel. Let's assume the density of the steel is represented by 'd'.

Weight = Volume × Density

      = (\(x^{2}\) × h) × d

To find the dimensions of the tank that result in the minimum weight, we can differentiate the weight equation with respect to 'x' and 'h', and then set the derivatives equal to zero:

dWeight/dx = 2xh × d = 0    (partial derivative with respect to x)

dWeight/dh = \(x^{2}\) × d = 0    (partial derivative with respect to h)

From the first equation, we get 2xh × d = 0, which implies either x = 0 or h = 0. Since the tank cannot have zero dimensions, we can conclude that xh ≠ 0.

From the the second equation, \(x^2\) × d = 0, we get x = 0, which is not a valid solution.

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Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

Answer:

a) Exterior Angle Theorem

b) x = 109°

Step-by-step explanation:

For a, you can thank the Exterior Angle Theorem. Since the angles of a triangle equal 180°, we can figure out what the third interior angle's measurement is, then subtract that from 180 to get the exterior angle's measure. Since the two angles labeled (64° and 45°) will make an obtuse angle, then the third interior is an acute angle. Add 64 and 45 to get the exterior angle's measurement of 109 degrees. That would mean the third interior angle's measurement would be 71 degrees. 64 + 45 + 71 = 180, so this is true.

(I had used the HSEAT to explain this.)

Answer:

D

Step-by-step explanation:

First subtract 4 from both sides and divde both sides by 2.

Solution:

=2x+4>16

=2x+4-4>16-4

=2x>12

=2x÷2>12÷2

=x>6

1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

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Answer: 4.17%

Step-by-step explanation:

Formula for percentage error = \(\dfrac{|\text{Estimated weight - Actual weight}|}{\text{Actual weight}}\times100\)

Given: Estimated weight = 2.5 oz

Actual weight = 2.4 oz

Percentage error = \(\dfrac{2.5-2.4}{2.4}\times100\%\)

\(=\dfrac{0.1}{2.4}\times100\%\\\\=\dfrac{100}{24}\%=4.17\%\)

Hence, the percent error = 4.17%

Step-by-step explanation:

Given Function

f(x) = 2.5x + 150

f^-1(x) = ?

Let y = f(x)

y = 2.5x + 150

Interchanging the role of x and y we get,

x = 2.5y + 150

x - 150 = 2.5y

y = (x - 150) / 2.5

So therefore

f^ -1(x) = (x - 150) / 2.5

Hope it will help :)

Answer:

I WILL SAY THE 2 ONE

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

a = 10.8 - 8/1.5 - 1 = 4.2

rate of change: 4.2

y = 4.2x + b

x = 1, y = 8

8 = 4.2 (1) + b

8 - 4.2 = b

b = 3.8

Initial value: 3.8

Answer:

4

Step-by-step explanation:

The multiplication of both indices gives 4

As per the given conditions in the question, the number of hours needed for Alonso to drive 288 miles is 12 hours.

Speed is a measure of how fast an object is moving. It is typically measured in units of distance per unit of time, such as miles per hour or kilometers per hour.

In physics, speed is the derivative of distance with respect to time, or the rate of change of distance. Mathematically, it can be represented as:

Speed = d(distance) / d(time) = ds / dt

Where ds is the change in distance, and dt is the change in time. This equation shows that speed is a measure of how much distance an object covers per unit of time.

As per the conditions given in the question,

Alonso travelled 96 miles in 4 hours.

Therefore, speed = 96/4 = 24 miles/hour

To find the number of hours it would take Alonso to drive 288 miles is,

288/24 = 12 hours

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Answer:

0.998

Step-by-step explanation:

just took the quiz

Answer:

.998

Step-by-step explanation:

Answer: x= 96 degrees

Step-by-step explanation:

It we figure out the rest of the angles they would be (the outside ans inside angles are straight angles):

123+153+49+119= 444

Since the total of angles in a pentagon = 540 degrees

540-444 96 degrees

The measure of an angle x will be equal to 96°.

A Pentagon is a two-dimensional geometric shape that consists of five straight sides and five angles. It is a type of polygon, which is a closed shape with three or more sides.

The Pentagon is often used to represent the shape of buildings, monuments, and symbols in architecture and design.

If we figure out the rest of the angles they would be (the outside and inside angles are straight angles):

123+153+49+119= 444

Since the total of angles in a pentagon = 540 degrees

540-444= 96°

Therefore, the measure of an angle x will be equal to 96°.

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Answer:

672

Step-by-step explanation:

because im smart and youre not

The statement that if we reject the null hypothesis \(H_0: μ=50\), at the 0.05 significance level, then the 95% confidence interval for μ will contain the value 50 is false statement.

The null hypothesis states that there is no relationship between the two variables which are studied. It is denoted by H₀. If the null hypothesis is rejected in hypothesis testing the alternative hypothesis is true.

We have, null hypothesis defined as \(H_0: μ= 50\)

then alternative hypothesis is defined as \(H_a: μ ≠ 50\).

Level of significance = 0.05

Now, from above discussion, if we reject the null hypothesis of mean is 50 then we can conclude that the population mean value is other than 50. That is the 95% confidence interval for μ does not contain the value 50. Hence, it is a false statement.

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Complete question:

True/ false : if we reject the null hypothesis \(H_0: μ=50\) at the 0.05 significance level, then the 95onfidence interval for μ will contain the value 50.

Answer:

Step-by-step explanation:

Area of the shape of the table = Length * Breadth (Rectangular in nature)

Area of the study table = 2m * 1.25m

Converting the units to cm

Since 100cm is equivalent to 1m, hence;

Area of the study table = 200cm * 125cm

Area of the study table = 25000cm²

If the study table is decorated with square design of size 10cm x 10cm, then the area of one square of such design will be 100 cm².

The number of square designs = Area of the study table/area of one square design

= 25000/100

= 250

Hence the number of such design on the study table is 250

Answer:

\(p \: \alpha \: \frac{1}{q} \\ p = \frac{k}{q} \\ k \: is \: a \: constant \: of \: proportionality \\ when \: p \: is \: 9.. \: \: q = 16 \\ 9 = \frac{k}{16} \\ k = 144 \\ when \: p \: is \: 18 : \\ 18 = \frac{144}{q} \\ q = \frac{144}{18} \\ q = 8\)

Answer:

(2, 5)

Step-by-step explanation:

Let the number of fancy throw pillows be x.

Let the number of plain throw pillows be y.

Hope spent a total of $131 on 7 throw pillows.

Fancy throw pillows  cost $28 and plain throw pillows cost $15.

These imply two things:

x + y = 7 _______  (1)

28x + 15y = 131 ___(2)

We have a linear system of equations.

From (1):

x = 7 - y

Substitute the value of f into (2):

28(7 - y) + 15y = 131

196 - 28y + 15y = 131

196 - 13y = 131

=> 13y = 196 - 131

13y = 65

y = 65 / 13

y = 5

This means that:

x = 7 - 5 = 2

Hope bought 2 fancy throw pillows and 5 plain throw pillows

Tickets at a particular movie theater have different rates for an adult ticket is $12 and the price for a child ticket is $5.

Elimination method is a technique used in solving a system of linear equations. The goal of this method is to eliminate one variable by adding or subtracting two equations in a way that the variable will be eliminated, leaving only one equation with one variable to solve

Let x be the price for an adult ticket and y be the price for a child ticket. Then we have:

4x + 7y = 83 (equation 1)

5x + 6y = 90 (equation 2)

Either replacement or elimination will work to solve this system.. Here, we'll use elimination:

When we multiply equations 1 and 2 by 5 and by 4, we obtain:

20x + 35y = 415 (equation 1, multiplied by 5)

20x + 24y = 360 (equation 2, multiplied by 4)

Equation 1 is obtained by subtracting equation 2:

11y = 55

Dividing both sides by 11, we get:

y = 5

Substituting y = 5 into equation 1, we get:

4x + 7(5) = 83

Simplifying and solving for x, we get:

4x = 48

x = 12

Therefore, the price for an adult ticket is $12 and the price for a child ticket is $5.

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Using simple mathematical operations, we know that Bobby buys 5.5 pounds of ribs for $19.25.

Indicates a mathematical operation, akin to the superposition principle, where the action on the sum of two functions is equal to the sum of the actions of the operation on each function (e.g., differentiation, multiplication by a constant).

So, we know that:

The ribs are for sale at $3.50 per pound.

Bobby buys 5.5 pounds of ribs.

Then, the amount bobby spends on ribs will be:

5.5 * 3.50

$19.25

Therefore, using simple mathematical operations, we know that Bobby buys 5.5 pounds of ribs for $19.25.

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The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.

A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.

2/5 = (2 × 2) / (5 × 2) = 4/10

Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.

The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.

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Answer:

14 feet

Step-by-step explanation:

We solve the above question by using the Greatest Common Factor method

We find the factors of 56 and 98

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 98 are: 1, 2, 7, 14, 49, 98

Then the greatest common factor is 14.

Therefore, the greatest possible length you can cut the rope so all pieces will be the same is 14 feet

Answer:

y= -2/3x-3

Step-by-step explanation:

Answer:

0.025

Step-by-step explanation:

Divide 4 by 139 and get the number as a decimal