An automatic dog feeder in the shape of a cone has a height of 18 centimeters. If it holds about 8,308 cubic centimeters of dog food, approximately what is its RADIUS?

To evaluate the expression 3x - 4y - x for x = -4 and y = 3, we substitute the given values into the expression and simplify.

Step 1: Substitute x = -4 and y = 3 into the expression:
3(-4) - 4(3) - (-4)

Step 2: Simplify the expression using the order of operations (PEMDAS):
-12 - 12 + 4

Step 3: Perform the subtraction:
-24 + 4

Step 4: Perform the addition:
-20

The value of the expression 3x - 4y - x, when x = -4 and y = 3, is -20. To evaluate the expression 3x - 4y - x, we need to substitute the given values of x and y and simplify the expression. For x = -4 and y = 3, we substitute these values into the expression:

3(-4) - 4(3) - (-4)

Simplifying this expression using the order of operations (PEMDAS), we first multiply -4 by 3, then -4 by 3, and finally multiply -1 by -4. This gives us -12 - 12 + 4. Next, we perform the subtraction, subtracting 12 from -12, which gives us -24. Then we add 4 to -24, resulting in -20. Therefore, the value of the expression 3x - 4y - x, when x = -4 and y = 3, is -20.

After substituting x = -4 and y = 3 into the expression 3x - 4y - x, we simplified the expression and found that the value is -20.

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Answer:

\(\sf b.) \ 1 +2\sqrt{7}\)

Explanation:

Foil method: (a + b)(c + d) = ac + ad + bc + bd

Solving steps:

\((4 - \sqrt{7} )(2 + \sqrt{7} )\)

\((4)(2) + 4(\sqrt{7} ) + (-\sqrt{7} )(2) + (-\sqrt{7} )(\sqrt{7} )\)

\(8 + 4\sqrt{7} - 2\sqrt{7} - 7\)

\(8 -7 + 4\sqrt{7} - 2\sqrt{7}\)

\(1 +2\sqrt{7}\)

option b) 1 + 2√7

Foil property method :-

\( \red{ \boxed{ \orange{ \rm (a + b)(c + d) = ac + ad + bc + bd}}}\)

then, on substituting the values,

\(\sf⇒ \:  \: 8 + 4 \sqrt{7} - 2 \sqrt{7} - 7\)

\(\sf⇒ \:  \: \green{ \underline{\bold{ \red{1 + 2 \sqrt{7} }}}}\)

Answer:

a) point (2, 1) is when the ball is on it's way down at 2 seconds

b) vertex (1, 2) is the highest the ball goes, which is 2 at 1 second.

c) y-intercept (0, 1) at time zero the ball is starting at a height of 1.

d) Points (0, 1) and (2, 1) are the points at which the ball starts and when it is in the same position from the ground as when it started, which is 1.

e) zero (x-int) is when the ball hits the ground at 2.5 seconds.

Step-by-step explanation:

Answer:

See below

step by step explanation

A. (2 , 1 ) is point on the parabola . It represents that the height of the ball after 2 second have passed.

b. The vertex is at ( 1 , 2 ) . It represent that the maximum height of the ball which is 2 units to at t = 1 second

c. The y - intercept is ( 0 , 1 ) . It represent that the initial height of ball at t = 0 second is 1 unit.

d. Point ( 0 , 1 ) and ( 2 , 1 )

This point represent the set of point having equal height at two different time. It represents how long before the ball reaches the same height from the starting point.

e. The zero or x - intercept is ( 2.5 , 0 )

It represent the time taken by ball before it reaches the ground.

Hope this helps...

Best regards!!

Answer:

D) 5.95 pounds

Step-by-step explanation:

Multiply 8.5 by 0.7

Answer:

it is D.) 5.95 pound

Step-by-step explanation:

Chase can create apprοximately 105 villagers tο live in his 17th tοwn.

We can use the expοnential grοwth fοrmula tο create an equatiοn tο predict the number οf villagers in any specific tοwn. The general fοrmula fοr expοnential grοwth is:

\(y = a * r^x\)

where:

y is the value we want tο predict (in this case, the number οf villagers)

a is the initial value (in this case, the starting number οf villagers)

r is the grοwth rate (in this case, 1.13, since each tοwn creates 1.13 times as many villagers as the οne befοre)

x is the number οf times the grοwth rate is applied (in this case, the number οf tοwns)

We can use this fοrmula tο predict the number οf villagers in any specific tοwn fοr Chase's situatiοn. Since Chase started with 4 villagers, we can plug in a = 4, and since the grοwth rate is 1.13 (οr 113% increase), we can plug in r = 1.13. Tο predict the number οf villagers in the 17th tοwn, we can plug in x = 17. Sο the equatiοn tο predict the number οf villagers in any specific tοwn is:

\(y = 4 * 1.13^x\)

Tο find the number οf villagers in the 17th tοwn, we can plug x = 17 intο this equatiοn and sοlve fοr y:

\(y = 4 * 1.13^{17\)

y ≈ 105.3

Therefοre, Chase can create apprοximately 105 villagers tο live in his 17th tοwn.

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Given statement solution :- The statement made by Mai is wrong because she stated that exactly 90% of the students agreed that starting and ending the school day an hour later than usual is a good idea, which is not accurate. Only 27 out of the 30 students in the random sample agreed to the idea, which is 90% of the sample, but not necessarily 90% of the entire student population.

Mai's report that the proportion of students who think it is a good idea to change school hours is 90% with a margin of error of 3% means that the true proportion of students who support the idea of changing school hours is likely to be between 87% and 93% with a 95% level of confidence.

The statement made by Mai is wrong because she stated that exactly 90% of the students agreed that starting and ending the school day an hour later than usual is a good idea, which is not accurate. Only 27 out of the 30 students in the random sample agreed to the idea, which is 90% of the sample, but not necessarily 90% of the entire student population. Mai's statement is an example of incorrect generalization from a sample to the entire population.

Mai's report that the proportion of students who think it is a good idea to change school hours is 90% with a margin of error of 3% means that the true proportion of students who support the idea of changing school hours is likely to be between 87% and 93% with a 95% level of confidence. The margin of error of 3% represents the amount of error that is expected to occur due to sampling variability, meaning that if another random sample of 30 students were taken, the proportion of students who support changing school hours could be different but is likely to be within the range of 87% to 93%. This report is a more accurate representation of the population compared to Mai's previous statement, as it accounts for the sampling error and provides a range of values rather than a single point estimate.

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The sides of ΔFED does AB in ΔABC correspond to:

AB --> EF  = (53°)

BC --> DE =  (37°)

AC --> DF=  (90°)

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

From the figure:

We have the following information:

ΔABC is similar to ΔFED.

WE have to find the which side in ΔFED does AB in ΔABC correspond to?

Now, According to the question:

ΔABC is similar to ΔFED.

So,

AB --> EF  = (53°)

BC --> DE =  (37°)

AC --> DF=  (90°)

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Since we don't have specific numbers for A and B, we cannot calculate the probability accurately without more information.

We need some further information to determine the likelihood that a randomly chosen survey respondent has a heart rate below 80 bpm and is not in the marching band. We specifically need to know how many persons were questioned in total, how many had heart rates under 80, and how many were not marching band members.

Assuming we have this knowledge, we may apply the formula below:

Probability is calculated as follows: (Number of favourable results) / (Total number of probable results)

Let's assume that there were N total respondents to the survey, A were those with a heart rate under 80, and B were not members of the marching band.

Without more information, we cannot determine the probability precisely because A and B are not given in precise numerical terms. However, we can use those values to the formula to get the likelihood if we are given the values for A and B.

We need some further information to determine the likelihood that a randomly chosen survey respondent has a heart rate below 80 bpm and is not in the marching band. We specifically need to know how many persons were questioned in total, how many had heart rates under 80, and how many were not marching band members.

Assuming we have this knowledge, we may apply the formula below:

Probability is calculated as follows: (Number of favourable results) / (Total number of probable results)

Let's assume that there were N total respondents to the survey, A were those with a heart rate under 80, and B were not members of the marching band.

A person whose pulse rate is less than 80 beats per minute and who is not in the marching band is the desirable outcome. This will be referred to as occurrence C.

Probability (C) = (Number of people without a marching band whose pulse rate is less than 80 bpm) / N

Without more information, we cannot determine the probability precisely because A and B are not given in precise numerical terms. However, if A and B's values are given to us.

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The sugar concentration would be approximately 62.5%.

To find the concentration of sugar in the solution, we need to use the formula:

In this case, the solute is sugar and the solvent is water. We are given that the mass of sugar is 50 grams and the mass of water is 30 grams. However, we need to convert the mass of water to volume since we need the volume of the entire solution to calculate the concentration.

We can assume that the density of water is 1 g/mL, so the volume of water is 30 mL. The total volume of the solution is therefore 50 mL + 30 mL = 80 mL.

Now we can use the formula to find the concentration of sugar:

So the concentration of sugar in the solution is approximately 0.625 grams per milliliter.

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Answer:D. The answer is 3.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

71.12 divided by 2.54 = 28

Answer:

Using dimensional analysis:

71.12 cm / 2.54 cm/inch = 28 inches

Therefore, 71.12 centimeters is equal to 28 inches.

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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Answer:

A=326.85 in² , C=64.09 in

Step-by-step explanation:

Area of a circle= πr²

r=10.2 in

Plug into a calculator

A=π(10.2 in)² = 326.85129....≈326.85 in²

Circumference = 2πr

C=2π(10.2) = 64.08849...≈64.09 in

Answer:

\(\frac{7}{15}\)

Step-by-step explanation:

Given

\(\frac{16-4(5)}{2(6)+8}\) + \(\frac{2}{3}\)

= \(\frac{16-20}{12+8}\) + \(\frac{2}{3}\)

= \(\frac{-4}{20}\) + \(\frac{2}{3}\)

= - \(\frac{1}{5}\) + \(\frac{2}{3}\)

We require the fractions to have a common denominator of 15

Multiply the numerator/ denominator of - \(\frac{1}{5}\) by 3 and

Multiply the numerator/ denominator of \(\frac{2}{3}\) by 5

= - \(\frac{3}{15}\) + \(\frac{10}{15}\)

= \(\frac{7}{15}\)

Answer: 10m−12n+2 its the answer

EXPLANATION

In order to turn -2x + 10y = 2 into slope-intercept form:

First, as we know, the generic slope-intercept form is:

y= mx + b

where m is the slope and b is the y-intercept

Going back to our equation:

-2x + 10y = 2

Adding +2x to both sides:

-2x + 2x + 10y = 2 + 2x

Adding similar terms:

10y = 2 + 2x

Dividing both sides by 10:

10y/10 = 2/10 + 2x/10

Simplifying:

y = 1/5 + x/5 --> Slope-intercept form

The reference triangles always have a leg perpendicular to the hypotenuse.

In a right triangle, the reference triangle is formed by dropping a perpendicular from one of the acute angles to the hypotenuse. This perpendicular leg, also known as the altitude, divides the hypotenuse into two segments. The reference triangle is created to establish a relationship between the angles and sides of the original right triangle. By considering the ratios of the sides in the reference triangle, we can apply trigonometric functions to solve various problems involving right triangles. The perpendicular leg of the reference triangle is crucial in determining the values of sine, cosine, and tangent for the given angle in the original triangle.

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The chi-square statistic is used to determine whether there are differences between two nominally scaled variables. Chi-Square is a statistical test used to compare two nominal variables to determine whether they differ.

The Chi-Square test is used to test for differences between two groups. When you want to compare groups or examine the relationship between two variables, this test is useful. The chi-square test is a method of statistical inference that can be used to compare observed frequencies with expected frequencies, allowing us to determine whether there is a meaningful difference between them. When the p-value obtained from a chi-square test is less than 0.05, it is generally considered statistically significant.

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Answer:

what expressions?

Step-by-step explanation:

Answer:

$13.90

Step-by-step explanation:

1. Get rid of the tax by subtracting 2.70 from the total.  

2. Next, divide the total by 3 to find the price of each CD.

The number of different tests required for every possible pairing of three wires is 84.

To determine the number of different tests required for every possible pairing of three wires, we can use the concept of combinations.

In this scenario, we have nine color-coded wires and we want to choose three wires at a time to form a test.

The number of different tests can be calculated using the combination formula: nCr = n! / (r!(n - r)!), where n is the total number of items and r is the number of items chosen at a time.

In this case, we have nine wires and we want to choose three wires at a time, so the formula becomes:

9C3 = 9! / (3!(9 - 3)!)

    = 9! / (3!6!)

    = (9 * 8 * 7) / (3 * 2 * 1)

    = 84

Therefore, there are 84 different tests required to cover every possible pairing of three wires from a set of nine color-coded wires.

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Answer:

Half Angle & X

Step-by-step explanation:

edge 2022

The step contains an error is Half Angle & X.

We have given that,

A 2-column table with 8 rows. Column 1 is labeled Step with entries 1, 2, 3, 4, 5, 6, 7, and 8.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Column 2 is labeled Statement with entries cosine (2 x) = 1 minus 2 sine squared (x), let 2 x = theta, then x = StartFraction theta Over 2 EndFraction, cosine (theta) = 1 minus 2 sine squared (StartFraction theta Over 2 EndFraction), negative 1 + cosine (theta) = negative 2 sine squared (StartFraction theta Over 2 EndFraction), 1 + cosine (theta) = 2 sine squared (StartFraction theta Over 2 EndFraction), StartFraction 1 minus cosine (theta) Over 2 EndFraction = sine squared (StartFraction theta Over 2 EndFraction), sine (StartFraction theta Over 2 EndFraction) = plus-or-minus StartRoot StartFraction 1 minus cosine (theta) Over 2 EndFraction EndRoot.

We have determined the step contains an error.

Half Angle & X.

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A. No. The spinner is not fair because there are more sections than sections. A fair spinner will have 2 sections of each size.
C.
Yes. The spinner is fair because there are the same number of sections and sections.

A spinning gadget used in games to select a number or symbol. A fidget spinner is a toy that comprises of a ball bearing in the centre of a multi-lobed (usually three) flat metal or plastic frame.

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Answer:

30)49

34) 14

38) 3

42) 1

46) 6

Step-by-step explanation:

The formula for finding slope is expressed as

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

where

y2 and y1 are final and initial values of the y coordinates respectively

x2 and x1 are final and initial values of the x coordinates respectively

Considering line PQ,

x1 = - 6, y1 = 16

x2 = 2, y2 = - 4

Slope = (- 4 - 16)/(2 - - 6) = - 20/8

Slope = - 2.5

Considering line RS,

x1 = - 6, y1 = 14

x2 = - 2, y2 = 4

Slope = (4 - 14)/(- 2 - - 6) = - 10/4

Slope = - 2.5

If the slope of two lines are equal, it means that they are parallel. We can see that the slopes of PQ and RS are equal. Thus,

Line PQ is parallel to line RS

2

48 muffins can be made......

mass (m) = 5.4g

Volume (V) = 2 cm^3

To find the density (p), we have to apply the next formula:

p= m/v

Replacing:

p´= 5.4/2 = 2.7 g/cm^3

Answer:

d

Step-by-step explanation: