Ted is making trail mix for the party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cups of pretzels. How many cups of pretzels does Ted need to make 15 cups of trail mix?​

The area of the partial circle with a radius of 8 cm = 150.72 \(cm^{2}\), then the we can use  \(\pi =3.14\) value.

The circle is missing 1/4, so the area of it is just 3/4 of the whole area of the circle.

Area of a circle is the region occupied by the circle in a two-dimensional plane.

It can be determined easily using a formula, A = \(\pi r^{2}\) , (Pi r-squared) where r is the radius of the circle.

The unit of area is the square unit, such as \(m^{2}\), \(cm^{2}\), etc.

Area of Circle = \(\pi r^{2}\) or \(\frac{\pi d^{2} }{4}\), square units. where π = 22/7 or 3.14.

Area of a circle,

A = \(\pi r^{2}\)      (Equation-1)

Where,

r = radius

Given that,

r = 8cm

We can substitute equation-1,

A = \(\pi 8^{2}\) cm * cm

A = \(64\pi\) \(cm^{2}\)

So,

We can write,

Whole one quarter,

\(\frac{4}{4} -\frac{1}{4}\) \(=\frac{3}{4}\)

We can get,

= \(\frac{3}{4} *64\pi\)

= 48\(\pi\)

We can substitute \(\pi =3.14\) value,

Then,

= 48 * 3.14

= 150.72 \(cm^{2}\)

Therefore,

The area of the partial circle with a radius of 8 cm = 150.72 \(cm^{2}\), then the we can use  \(\pi =3.14\) value.

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The initial velocity = vi = 6m/s

The final velocity = vf = 16 m/s

The total time = t = 20 seconds

The rate of change in velocity is called acceleration (a) that can be written as:

or

Put the values in the equation to get the value of 'a'.

or

hence, the value of a is 1/2.

Answer:

3820

Step-by-step explanation:

7. Solve. 4(s – 3) = 2s + 6

Answer:

s=9

The range of the graph is the set of output values, and the range is (d) (-infinity,infinity)

From the graph in the complete question, we can see that the output values (i.e. the y values) extend indefinitely on both sides of the graph

This means that the range of the graph is the set of all real numbers.

This in other words means that (-infinity,infinity)

Hence, the range of the graph is (d) (-infinity,infinity)

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Using Standard deviation, approximately, 95% of the area under the normal curve falls between 2 standard deviations.

The area under a normal curve represents the total probability of an event occurring for a normally distributed random variable.

A normal distribution is a bell-shaped curve that describes a continuous probability distribution of a variable, where most values cluster around the mean, and the curve tapers off symmetrically on both sides.

The total area under the normal curve is equal to 1 or 100%, which means that the probability of all possible outcomes adds up to 1 or 100%.

The Empirical Rule states that:

Hence,

Approximately, 95% of the area under the normal curve falls between 2 standard deviations.

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Answer:

$2,436

Step-by-step explanation:

I added the percentage together 30+7+7=42 and I multiplied 0.42 by $4,200 and then I got $1,764 which is the amount I spend on expenses each month. Last, I did 4,200-1,764 and got the answer

A) I only . In order to use t-procedures for constructing a confidence interval, the samples should be approximately normally distributed.

Option I suggests that one sample is roughly symmetric and the other is moderately skewed left, but there are no outliers. This suggests that the normality condition may be met and t-procedures can be used. Option II indicates that both samples are roughly symmetric, but one sample has an outlier. This may violate the assumption of normality and t-procedures may not be appropriate.

Option III suggests that both samples are strongly skewed to the right, which also violates the normality assumption and t-procedures are not recommended.

Therefore, the correct answer is A) I only.

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Answer:

84

Step-by-step explanation:

28*3= 84

The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC. See Diagram 1 to gain a clearer understanding of this postulate definition.

Remember that a line segment is part of a line bound by two clear end points. It is comprised of a bunch of points between those two end points.

An easier way of stating the segment addition postulate is that if point B lies on line segment AC, then AB + BC will equal AC. That seems pretty simple, does it not?

Answer: g(f)= 2f - The input is f

h(g)=-4+g - The input is g

f(h)=h-7 - The input is h

Step-by-step explanation:

The matches are:

h(g) = -4 + 9 corresponds to input g.

f(h) = h - 7 corresponds to input h.

g(t) = 21 corresponds to input t.

We have to given that,

To Match each function with its input.

h(g) = -4+9

The input is f.

f(h) = h - 7

The input is h.

g(t) = 21

The input is g.

Now, We get;

h(g) = -4 + 9 corresponds to input g.

f(h) = h - 7 corresponds to input h.

g(t) = 21 corresponds to input t.

So the matches are:

h(g) = -4 + 9 corresponds to input g.

f(h) = h - 7 corresponds to input h.

g(t) = 21 corresponds to input t.

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Answer:

11

Step-by-step explanation:

if the average of 6 number is 6, then the sum of those 6 numbers = 6 x 6 = 36

Therefore, the 6th number is:  36 - 25 = 11

For the model 1/y = 0.80 + 4.7x, the value of y when x = 2 is option (a) y = 0.10

To find the value of y when x = 2 in the equation 1/y = 0.80 + 4.7x, we need to first solve for y.

We can start by isolating y on one side of the equation. To do this, we can take the reciprocal of both sides of the equation to get:

y = 1/(0.80 + 4.7x)

Now, we can substitute x = 2 into the equation and solve for y:

y = 1/(0.80 + 4.7(2))

y = 1/(0.80 + 9.4)

y = 1/10.20

y = 0.098

Rounding to two decimal places gives us y = 0.10,

Therefore, the correct option is (a) y = 0.10.

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The statement that describes the conversion is To find the weight in pounds, multiply the number of ounce by the unit rate 16 ounces per pound

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

The double number line

On the double number line, we have:

16 ounces = 1 pound

This means that

To find the weight in pounds, multiply the number of ounce by the unit rate 16 ounces per pound

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Answer:

R' (- 5, - 6 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

R (5, - 6 ) → R' (- 5, - 6 )

Answer:

-5, -6

Explanation:

5, -6 is in quadrant 4, (x, -y) so if it were to be reflected over the y- axis, it would got to quadrant 3 (-x, -y).

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the answer does be A

The required value of the given inverse function f⁻¹(22) will be 7.

The inverse function is defined as a function obtained by reversing the given function.

Given that f(7) = 22

To determine the value of the given inverse function f⁻¹(22)

An inverse function's main objective is to show the value that occurs in a specific function value. Which means :

If we have f(x) and f⁻¹(x), then

if f(a) = b then f⁻¹(b) = a

As per the given question, we have

⇒ f(7) = 22 then f⁻¹(22) = 7

Therefore, the required value of the given inverse function f⁻¹(22) will be 7.

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The volume of the jar is 1130.4 cubic inches and the number of marbles that can fit is 56.

In geometry, it is defined as a three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

\(\rm V = \pi r^2 h\)

It is given that:

A cylindrical jar has a radius of 6 inches and a height of 10inches.

The volume:

V = π(6)²(10)

V = (3.14)(6)²(10)

V = 1130.4 cubic inches

Number of marbles = 1130.4/20 = 56.52 = 56 marbles

Thus, the volume of the jar is 1130.4 cubic inches and the number of marbles that can fit is 56.

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Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.

Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.

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The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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The statement which must also be true is that: since line a is perpendicular to line P, any plane containing line a is perpendicular to line P.

A line can be defined as a mark with length and direction, that is created by a point that is moving across a surface. Also, a line can vary in length, width, direction, curvature, and color.

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

A conditional statement can be defined as a type of statement that can be written to have both a hypothesis and conclusion. This ultimately implies that, a conditional statement typically has the form "if P then Q."

Where:

P and Q represent sentences.

From the given conditional statement, we can reasonably and logically deduce that if line a is perpendicular to line P, any plane that contains line a is perpendicular to line P.

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In a wheel game with eight equally spaced sectors, Keisha's chances of winning a reward on both spins are 1/16.

Probability—the possibility that an occurrence will happen—is calculated by dividing here the same number of favorable outcomes by the total number of possible outcomes. A coin toss serves as the most simple instance. If you flip a coin, there are only two possible outcomes: heads or tails.

The spinners will get a reward each everytime she lands on white. She will spin the wheel twice.

Here, there are two instances of such color white in the wheel, and there are a total of eight sectors. the likelihood that white will appear in the spin for the first time is,

P = 2/8

P = 1/4

The second case's circumstances are the same. In this instance, the outcomes including both wheel revolutions are independent of one another.

According to the product rule, the likelihood that a white sector will both spin and emerge is,

P = 1/4 * 1/4

P = 1/16

In a wheel game with eight equally spaced sectors, Keisha has a 1/16 chance of winning a reward on both spins.

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The complete question is-

Keisha is playing a game using a wheel divided into eight equal sectors, as shown in the diagram. Each time the spinner lands on white, she will win a prize. If she spins this wheel twice, what is the probability she will win a prize on both spins? Please show all steps!

The total weight of all the fruits brought by Selena is 225 g.

We are given the following data-

weight of apples bought by Selena = 80g

weight of banana bought by Selena = 95g

weight of strawberries bought by Selena = 50g

We know that the total weight of all the fruits will be the sum of all the fruits.

Hence, the total weight of all the fruits = 80g + 95g + 50g

=175g +50g

=225g.

Therefore, the total weight of all the fruits is 225g.

Thus the total weight of all the fruits i.e. apples, bananas, and strawberries bought by Selena is 225g.

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The complete question is -

Selena has bought some fruit 80g apples, 95g bananas, and 50g strawberries. What is the total weight of all the fruit?

Answer:

4,300,000

Step-by-step explanation:

4,800,000 - 500,000

Multi-step equations are those that must be solved over the course of two or more steps.

An equation that needs to be solved in two or more steps is known as a multi-step equation. There may be a combination of addition, subtraction, multiplication, and division in these questions. For proper equation solving, we could additionally need to combine like terms or apply the distributive property.

Similar to multi-step equations, multi-step inequalities might require combining like terms, the distributive property, and variables on both sides. Again, the only distinction when resolving inequalities is that when multiplying or dividing by a negative number, the sign must be reversed.

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In this scenario, an F-statistic of 14.08 with 2 and 42 degrees of freedom was calculated with an associated p-value of < 0.0001. The stress levels of students during an exam were measured in three different testing environments: (a) complete silence, (b) with music playing, (c) while their instructor was talking on his cell phone.

The mean stress levels were 73.5, 82.5, and 91.3, respectively. The conclusion we should make from this result is as follows: There is a significant difference between the mean stress levels of the three testing environments. To establish the differences between each treatment, post hoc comparisons may be needed. The overall F-test, on the other hand, indicates that at least one treatment has a significantly different effect on the mean stress level than the other two.

Furthermore, the post hoc comparisons may also reveal which environment had a greater effect on the stress levels of the students. The p-value, on the other hand, implies that there is a strong likelihood of detecting a difference between the groups.

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In the first part, we replace "a" with (dv)/(dt) based on the definition of acceleration as the derivative of velocity with respect to time. By integrating both sides and applying the initial condition, we obtain the equation v = 10t + 5.

In the second part, we replace "a" with v(dv)/(ds) based on the definition of acceleration as the derivative of velocity with respect to displacement. By integrating both sides and applying the initial condition, we obtain the equation v^2 = 20s + 25.

To solve the given problem, we will replace "a" in the equation a = 10 with two different expressions and show the resulting equations.

1. Replacing "a" with (dv)/(dt):

We know that acceleration is the derivative of velocity with respect to time. So, (dv)/(dt) can replace "a" in the equation.

(dv)/(dt) = 10

Integrating both sides with respect to "t":

∫(dv) = ∫10 dt

v = 10t + C

Given that the speed (v) is 5 ft/s when t = 0, we can substitute these values into the equation:

5 = 10(0) + C

C = 5

Thus, the equation becomes:

v = 10t + 5

2. Replacing "a" with v(dv)/(ds):

We can replace "a" with v(dv)/(ds) in the equation.

v(dv)/(ds) = 10

Separating variables and integrating both sides:

v dv = 10 ds

Integrating the left side with respect to "v" and the right side with respect to "s":

(1/2)v^2 = 10s + C

Given that the speed (v) is 5 ft/s when s = 0, we can substitute these values into the equation:

(1/2)(5^2) = 10(0) + C

25/2 = C

Thus, the equation becomes:

(1/2)v^2 = 10s + 25/2

Multiplying both sides by 2 to remove the fraction:

v^2 = 20s + 25

Simplifying the equation:

v^2 = 20s + 25

Therefore, we have shown that v = 10t + 5 and v^2 = 20s + 25 by replacing "a" with (dv)/(dt) and v(dv)/(ds) respectively.

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Answer:

1.25 for each can

Step-by-step explanation:

Answer: $1.25 per can of tuna

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