2) The cost of gasoline is directly proportional to the number of gallons of gasoline purchased. Ms. Butcher paid $25.20 for 12 gallons of gas. If c represents the cost in dollars and grepresents the gallons of gas purchased, which equation best represents this relationship?
(a) c = 0.489
(b) c = 2.1g
(c) c = 25.20g
(d) c = 302.4g​

Answer: 81/100



Step-by-step explanation:

I don't guarantee you I am right but..

first, solve for the exponents after substituting the numbers in

3/5 x 3/5 is 9/25

since b's exponent is negative, you change the fraction into its reciprocal and then do it with the exponent but positive

2/3^-3 to 3/2^3 and 3/2 x 3/2 is 9/4

then you mutiply both numbers to get 9/4 x 9/25 is 81/100

Answer:

answer Is -9/40

Step-by-step explanation:

the formula Is

tan0= sin0/cos0

tan0= (9/41)/(-40/41)

tan0=(9/41)*(-41/40)

tan0= -9/40

Hello,

3m + 5 > 2(m - 7) =

3m + 5 > 2m - 14

3m - 2m > - 14 - 15

x > - 29

Step-by-step explanation:

3m±2m>-14-5

5m>-19

m>-19/5

m>3.8

Answer:

x = -1

Step-by-step explanation:

If you input -1 to both functions, you get 3.

Answer:

See below.

Step-by-step explanation:

Central angles AOB and DOC are vertical angles, so they are congruent.

m<AOB = 50°

BD is a diameter, so the measure of central angle BOD is 180°.

The measure of an arc of a circle is equal to the measure of the central angle that subtends it.

m<AOB + m<AOE + m<EOD = 180°

50° + m<AOE + 60° = 180°

m<AOE + 110° = 180°

m<AOE = 70°

m(arc)AE = m<AOE = 70°

m(arc)AB = m<AOM = 50°

A full circle has 360 deg of central angle and of arc measure.

m(arc)ECB = 360° - m(arc)AE - m(arc)AB

m(arc)ECB = 360° - 70° - 50°

m(arc)ECB = 240°

Angle BOC is vertical with angle AOD.

m<BOC = m<AOD = m<AOE + m<EOD

m<BOC = 70° + 60°

m<BOC = 130°

25 tablets are needed to dispense to fill the prescription order.

A prescription is a legally binding document or order prepared by a certified healthcare provider to diagnose, prevent, or treat a specific patient's ailment. It is authored by a licensed professional, it is written in the context of genuine doctor-patient interaction and it is a legal document that can be used as "prima facie" evidence in a court of law.

It was most likely intended for the pharmacist, who needs a certain amount of each component to mix the medicine (rather than the patient, who must take/consume" it).

So, a prescription for 10 days = 21/2

Tablets required for 10 days = 25

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Answer:

No solution

Step-by-step explanation:

If you graph this system of equations, they do not intersect in any way and therefore there is no solution.

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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The slope of the rapids is -0.067

Kannanaski Rapids drops  62 ft vertically

The horizontal distance of 920 ft.

tan θ is a commonly used trigonometric function along with other 5 functions. tan θ is also called as law of tangent. The tangent formula for a right-angled triangle can be defined as the ratio of the opposite side of a triangle to the adjacent side. It can also be represented as a ratio of the sine of the angle to the cosine of the angle.

Slope of Rapids= tanθ= \(\frac{y}{x}=\frac{-62}{920} \\\)

=-0.067

Therefore, the slope of rapids is -0.067.

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Answer:

71 boxes

Step-by-step explanation:

1. Add 522 (# of glaze donuts) and 323(# of chocolate covered donuts).....845(# of total donuts)

2. Divide 845 by 12(the # of donuts each box could hold)....70.41666(repeating)

3. As you can't have a 0.41666 of a box, you round up 70.4166666 to 71.

71*12=852 70*12=840

Even though 71 boxes is more than enough to hold 845 donuts, there is simply no other choice, as there is no smaller box that holds less than 12 donuts.

Answer:

9 days

Step-by-step explanation:

Answer:

180=90+10x  X = 9 days

Step-by-step explanation:

Answer:

Step-by-step explanation:

a 2x-6/5=4

2x-6=20

2x=26

x=13

b 7-2x/4=9

-2x=8

x=-4

Answer:

touch it

Step-by-step explanation:

Answer: The area of a regular polygon is one-half the product of its apothem and its perimeter

Step-by-step explanation:

Answer:

can I get a better explanation and I'll help

Answer:

Step-by-step explanation:

first distribute -5(4a-3) to get -20a +15

second -33-6a=-20a+15 and add 20 to both sides to get -33+14a=15

third add 33 to both sides to get 14a=48

fourth divide 14 on both sides to get a = 3.43 (rounded to nearest hundredth)

If you are selecting a sample by generating random numbers to select cases from the population, you would be collecting a random sample.

A random sample is a type of probability sampling method in which every member of the population has an equal chance of being selected for the sample. This means that the selection of each case in the sample is independent of the other cases, and every possible sample of a given size has an equal chance of being selected.

Random sampling is widely used in research because it provides an unbiased representation of the population and allows researchers to generalize their findings to the entire population. By using a random sample, researchers can ensure that their results are not due to chance or bias, and that their conclusions are valid and reliable.

However, random sampling can be time-consuming and expensive, and it may not be possible to include every member of the population in the sample. In such cases, researchers may use other sampling methods, such as stratified sampling or cluster sampling, to select a representative sample from the population.

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the first one is 1.18x

the second one is 0.18x

the third one is 3/10x

the fourth one is 13/10x

(a) Using combination, the number of ways to choose 10 players to take the field is 286. (b) Using permutation, the number of ways to assign the 10 positions is 1037836800.

The softball team has 13 people for a game.

a) Since the sequence doesn't matter, there are a total of 13 ways to select 10 players, which results in the following combination:

₁₃C₁₀ = 13! / ( 13 - 10 )! 10!

₁₃C₁₀ = ( 13 × 12 × 11 ) / ( 3 × 2 )

₁₃C₁₀ = 13 × 2 × 11

₁₃C₁₀ = 286

b) The permutation of 13 players for 10 slots yields a total of possible positions that can be assigned by choosing 10 players:

₁₃P₁₀ = 13! / ( 13! - 10! )

₁₃P₁₀ = 13! / 3!

₁₃P₁₀ = 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4

₁₃P₁₀  = 1037836800

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Answer:

\((x-y)(x^2+xy++y^2)\)

Step-by-step explanation:

\(Proof :\\(x-y)(x^2+xy+y^2)\\=(x^3+x^2y+y^2x-x^2y-xy^2-y^3)\\=x^3-y^3\)

Answer:

It would be D

Step-by-step explanation:

Got it right on Edge 2021

Answer:

20%

Step-by-step explanation:

The value of p in the binomial expansion is 1920.

Here we have been given

\((a-kx^m)^n = \frac{243}{32} - \frac{405}{4}x^{\frac{3}{2}} + 540x^3 - 1440x^\frac{9}{2} + px^6 - qx^\frac{15}{2}\)

Now to calculate the value of p we need to calculate the values of n, m, k, and a using the Binomial Expansion formula.

Now we have 6 terms over here. According to the rule, the power of an expression is

no. of terms in expansion - 1

= 6 - 1

= 5

Now the first term is

\(C^5_0 a^5 = \frac{243}{32}\)

\(or, a^5 = \frac{3^5}{2^5}\)

Hence we get

a = 3/2

Now the second term should be

\(C^5_1 a^4 (-kx^m) =- \frac{405}{4}x^\frac{3}{2}\)

\(-5k\frac{81}{16}x^m =- \frac{405}{4}x^\frac{3}{2}\)

\(or, kx^m = 4x^\frac{3}{2}\)

Hence here we see that k = 4 and m = 3/2

Now we can calculate p by

\(C^5_4 a^1 (-kx^m)^4 = px^6\)

\(5 X \frac{3}{2} X 256x^6 = px^6\)

\(or, 1920x^6 = px^6\)

Hence the value of p is 1920

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The arithmetic mean is 59.

What is arithmetic mean?

It is the sum of collection of numbers divided by the count of the numbers.

Conider AB is the nuber satisfying the condition. Hence,

\(10A+B=A+B+A\times B\\9A=A\times B\\\)

Since AB is a two digit number hence, \(A\neq 0\\\). Hence, divide both sides by \(A\).

\(9=B\)

Hence, B is 9 and A can take any value from 1 to 9.

Hence, numbers are 19, 29, 39, 49, 59, 69, 79, 89,99.

Now, calculate arithmetic mean as follows:

\(AM=\frac{Sum \ of \ numbes}{Count \ of \ numbers}\\=\frac{19+29+39+49+59+69+79+89+99}{9}\\=59\)

Hence, arithmetic mean of numbers is 59.

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A null hypothesis outlines what a researcher should see if the tested hypothesis is incorrect. In essence, it presents an "alternative" theory to the first.

The null hypothesis is a type of hypothesis that explains the population parameter and is used to examine if the provided experimental data are reliable. Depending on whether the population or sample under consideration is viable, this hypothesis is either rejected or not. Or to put it another way, the null hypothesis is a hypothesis that assumes that the sample observations are the result of chance. It is claimed to be a claim made by surveyors who wish to look at the data.

The basic idea behind null hypothesis testing is to gather data and calculate the probabilities of a particular set of data during an experiment on a random sample, presuming that the null hypothesis is correct.

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Answer:

Area of sector of circle = 7.6302 inches (Approx.)

Step-by-step explanation:

Given:

Angle of section = 35°

Radius of circle = 5 inch

Find:

Area of shaded section

Computation:

Area of shaded section  = Area of sector of circle

Area of sector of circle = [θ/360][πr²]

Area of sector of circle = [35/360][(22/7)(5)²]

Area of sector of circle = [0.0972][(3.14)(25)]

Area of sector of circle = [0.0972][78.5]

Area of sector of circle = 7.6302 inches (Approx.)

Answer:

resistant

because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is resistant to outliers.

Answer:c: 28

Step-by-step explanation:

Answer:

SOLUTION SET ={a/a≥20}

Step-by-step explanation:

\(\frac{2a}{5}-2\geq\frac{a}{4}+1\)

\(adding 2 on both sides\)

\(\frac{2a}{5}-2+2\geq \frac{a}{4}+1+2\)

\(now subtracting \frac{a}{4} on both sides\)

\(\frac{2a}{5}-\frac{a}{4}\geq 3\)

\(takig LCM as 20\\\frac{8a}{20}-\frac{5a}{20}\geq 3\)

\(\frac{3a}{20}\geq 3\)

\(by cross-multiplication\)

3a≥3×20

3a≥60

dividing 3 on both sides

3a/3≥60/3

a≥20

SOLUTION SET ={a/a≥20} is the answer

i hope this will help you :)

Answer:

1.25 grams would be left

Step-by-step explanation:

40/2=20

20/2=10

10/2=5

5/2=2.5

2.5/2=1.25

We can say that the value of n cannot be calculated since the series diverges. The value of n cannot be calculated since the series diverges.

To determine what should n be in order that the partial sum sn = n= 1 root 1/i+1 satisfies sn > 1000, we need to find the value of n that satisfies the given equation.

So,We know that the partial sum of the series to infinity can be given as,

S= ∑1∞ (1/i+1)

Now, the value of S can be given as,

S = 1/2 + 1/3 + 1/4 + … + 1/n + …

Let, Sn be the partial sum up to the first n terms of the series.

Then, Sn = 1/2 + 1/3 + 1/4 + … + 1/n, and we have to find the value of n for which Sn > 1000.

Using the comparison test, we can say that,

∑1∞ 1/i+1 > 1 + ∫[1,∞] 1/x+1 dx

So,S = ∑1∞ (1/i+1) > 1 + ∫[1,∞] 1/x+1 dx

= 1 + ln (x+1) from 1 to infinity= ∞

Therefore, from here, we can say that the value of n cannot be calculated since the series diverges.

Hence, the answer is that the value of n cannot be calculated since the series diverges.

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