You can fill a ​15-gallon tank of gas for ​$53.08 or buy gas for ​$3.60​/gallon.

Answer:The answer would be the second

Step-by-step explanation:The square root of 97 to the third power is 955.3. 78/9 is 8.6 and the square root of 45 is 6.7.

Student t distribution

A measurement of a data set's deviation from the mean is referred to as "standard deviation". While a high standard deviation indicates that the data are more spread, a low standard deviation suggests that the data are clustered around the mean.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

We have,

Claim : μ = 83

Sample data : s = 15.1, n = 24, and x = 103

The hypothesis test uses the student t distribution because we are evaluating the mean in this situation, the sample standard deviation of a normal distribution is estimated or supplied, and the population's standard deviation is unknown.

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Answer:

Step-by-step explanation:

wants to pour=64.98

have poured=38.5

how much more can he pour=

                                                64.98

                                               -38.50

                                               ______

                                                  26.48(ans)

The key here is to not worry too much and just follow PEMDAS.

Here we have the expression [tex](5\cdot 7)^2[/tex].  Following PEMDAS, we complete the expression inside the parentheses first, or [tex]5\cdot 7 = 35[/tex]. This gives us [tex](35)^2[/tex] or just [tex]35^2.[/tex]

Hope this helps.

The final value of the equation is x=e²/3

A natural log is a logarithm with the base "e." It is represented by the symbol "ln." In other words, loge = ln. In other words, the natural logarithm lacks a base. When "ln" is recognized automatically, "e" is assumed to be its base. The same set of logarithmic rules applies to all logarithms, including the natural logarithm. As a result, the following are the key natural log rules (also known as ln rules):

Therefore the final answer for the given question is x=e²/3

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The polynomial that added to [tex]-3c^{2}+3-6c[/tex] in order to get a sum of [tex]2c^{2}-c+5[/tex] is [tex]5c^{2}+5c+2[/tex]

Given,

The first polynomial =  [tex]-3c^{2}+3-6c[/tex]

The result =  [tex]2c^{2}-c+5[/tex]

Then,

[tex]-3c^{2}+3-6c[/tex] + second polynomial =  [tex]2c^{2}-c+5[/tex]

The second polynomial =   [tex]2c^{2}-c+5[/tex] -( [tex]-3c^{2}+3-6c[/tex] )

[tex]=2c^{2}-c+5+3c^{2}+6c-3\\ =(2+3)c^{2}+(-1+6)c+(5-3)\\ =5c^{2}+5c+2[/tex]

Hence, the polynomial that added to [tex]-3c^{2}+3-6c[/tex] in order to get a sum of [tex]2c^{2}-c+5[/tex] is [tex]5c^{2}+5c+2[/tex]

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Answer:

$3900

Step-by-step explanation:

100*30=$3000

10%=0.1 ---> 3*0.1=0.3

3000*1.3=$3900

It would increase positively because the slope is 3

The area of the trapezoid is 42 square units

The formula for area of a trapezoid is expressed as;

Area = a + b/ 2 h

Where;

Now, to determine the area of the trapezoid, we need to substitute the values of the length of the side and its base with the height of the trapezoid.

Substitute the value into the equation

From the above information, we have that;

Area = 6 + 8/ 2 (6)

Find the quotient

Area = 14/ 2(6)

Area = 7(6)

Multiply through

Area = 42 square units

We have that the area of the trapezoid takes the value 42 square units

Thus, the area of the trapezoid is 42 square units

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Answer:

The transformation that map line RS to line R"S" is " rotation of 180° about the origin, followed by a translation (x, y) → (x + 1, y + 1)" ⇒ B

Step-by-step explanation:

Let us revise some transformationIf the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y) ⇒ R(180, O) (x, y) → (-x, -y) If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k) ⇒ T (x, y) → (x, y + k)∵ The coordinates of the point R = (-2, 4)∵ The coordinates of point R" = (3, -3)→ Both coordinates in R" have opposite signs then R∴ R rotated 180° about the origin ⇒ using the 1st rule above∴ R' = (2, -4)→ Find the difference between the x-coordinate of R" and x-coordinate  of R'∵ xR" - xR' = 3 - 2 = 1→ By using the 2nd rule above∴ R' translated 1 unit to the right → Find the difference between the y-coordinate of R" and y-coordinate  of R'∵ yR" - yR' = -3 - (-4) = -3 + 4 = 1→ By using the 3rd rule above∴ R' translated 1 unit up∴ The rule of translation is T(x, y) ⇒ (x + 1, y + 1)Let us use these 2 rules on S to find S"∵ The coordinates of the point S = (-4, -1)∵ S is rotated 180° around the origin→ By using the 1st rule above, opposite the signs of its coordinates∴ S' = (4, 1)∵ S' translated 1 unit right→ By using the 2nd rule above, add its x-coordinate by 1∵  S' translated 1 unit up→ By using the 3rd rule above, add its y-coordinate by 1∴ S" = (4 + 1, 1 + 1)∴ S" = (5,2)→ That means the rules of transformation of point R is rightThe transformation that map line RS to line R"S" is " rotation of 180° about the origin, followed by a translation (x, y) → (x + 1, y + 1)"

Translation

Explain Explain Explain Explain

Answer: (3,5),(9,1),(6,-9)

Step-by-step explanation:

Just mirror it to the other side.

Answer:

Step-by-step explanation:

318 feet per second

So 19080 feet per minute

So 1,114,800 feet per hour

So 216.818181... miles per hour

Answer:

Step-by-step explanation:x+y=100

(2x+2.4y)/100=2.08

x=80

y=20

The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases

From the figure, we have the following coordinates

B = (a, 0)

D = (d, c)

The midpoint of line segment BD is calculated as

BD = 1/2 * (x1 + x2, y1 + y2)

So, we have

BD = 1/2 * (a + d, 0 + c)

This gives

BD = ((a + d)/2, c/2)

Also, we have:

Lines MN and AB are horizontal lines

This means that they have a slope of 0

i.e.

Slope of AB = Slope of MN = 0

Parallel lines have equal slope

Hence, the segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases

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6000 people didn't cast their vote and 1500 votes are not valid in the election

Given that In a municipal election, two candidates, P, and Q, ran for the position of Mayor, and 35000 people voted. Voters were supposed to vote for only one candidate. P received 22000 votes, Q received 5500 votes, and 1500 cast votes for P and Q.

Number of votes for P =22,000

Number of votes for Q= 5500

1500 cast votes to Both P and Q, these votes are not valid because each one is supposed to vote only for one.

Therefore, the number of votes not valid is 1500

Total people cast vote= sum of votes for every party

Total people cast vote=22,000+ 5500+1500

Total people casted vote=29,000

Therefore, 6000 people didn't cast their vote and 1000 votes are not valid in the election

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Answer:

y=3/4x

Step-by-step explanation:

I use the Rise/Run method. It helps the most for me

Answer: h=3v+xr^{2}/xr^{2}

Step-by-step explanation:

Answer:

13.94 seconds

Step-by-step explanation:

The greatest number with 2 decimal places that can be rounded to 13.9 is 13.94.

Answer: 13.94 seconds

The announcer said that Ingrid has won the race in 13.9 seconds, then the slowest time she could have run is 13.94 seconds.

Something similar to something else but not precisely the same is called an approximation. By rounding, a number can be roughly estimated.

By rounding the values in a computation before carrying out the procedures, an estimated result can be obtained.

13.94 is the largest number that can be rounded to the nearest two decimal places and be equal to 13.9.

Because after the second decimal, that is 4 the number has to increase as per the rules of approximation. That's why the number 13.94 up to two decimal places is correct.

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Answer:

No, doubling the height will just double the volume.

Step-by-step explanation:

It doubles the volume. Volume of a cylinder: volume= \pi *radius squared * height.

Answer:

No, it does not have the same effect. Doubling the height of a cylinder doubles the volume, while doubling the radius generates a volume 4 times greater.

Step-by-step explanation:

:)

Answer:

1 inch per hour.

Step-by-step explanation:

If a candle burns 6 inches in 6 hours, this means 1 inch of the candle melted every hour. Therefore, the candle burned/melted at a rate of 1 inch per hour.

Hope this helps!

Answer: the candle burns down at about 1 inch per hour

Step-by-step explanation: since if it is burning the whole time the equation you can do is 6 hours divided by 6 inches which is 1 hour by 1 inch

Answer:

b

Step-by-step explanation:

because it is all the factors

Answer:

I’m not so sure

Step-by-step explanation:

Answer:

A weekly salary is a function of the hourly pay rate and the number of hours worked

Step-by-step explanation:

a function is a map assigning values of a result or solution set to values of a set of initial or starting values.

we typically name these starting values x and the solution values f(x) or y (the results "created" out of x).

we often say

y = f(x)

and provide an expression or table to explain the logic of the mapping between x and f(x).

the only rule to be a function and not just a general relationship between these 2 sets :

every value in the set of starting values must have exactly one assigned solution value. not 0, not 2 (or more). one and only one.

but yes, different values of x can have the same assigned solution value. that is not a problem for a function. it just cannot be the other way around. there cannot be different solution values assigned to the same value of x.

so, a typical example of a function is a line.

e.g.

y = f(x) = 5x + 12

for every value of x you could think of (and everything else) there is exactly one result value calculated.

or the score board in a sports event :

athlete 1 : 12 points

athlete 2 : 24 points

athlete 3 : 20 points

athlete 4 : 22 points

...

the athletes are the "x". and their associated points the "f(x)" or "y".

no athlete is listed multiple times with different scores.

a typical example of not being a function is a circle. for almost every value of x inside the circle (that means for almost every point of the horizontal diameter of the circle) there are 2 values of y (that means points on the arc of the circle) : one above and one below the diameter.

or a strange score board like

athlete 1 : 12 points

athlete 2 : 24 points

athlete 3 : 20 points

athlete 2 : 22 points

athlete 4 : 22 points

...

athlete 2 is listed twice with 2 different scores.

so, this is therefore not a function.

The [tex]\lim_{x \to 1} 7x-3=7(1)-3=4[/tex] using the ε − δ definition of a limit.

The value that a function approaches when the input approaches a certain value is known as a limit. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.

The limit of f(x) at x = c is L according to the epsilon-delta definition of limits if ε > 0 there's a δ > 0 such that if the distance of x from c is less than, then the distance of f(x) from L is less than ε. The idea that we can approach L as closely as we like is expressed in this way.

[tex]\lim_{x \to a}f(x)= L[/tex] if ∀ ε > 0, ∃ δ > 0

0 < | x − a| < δ

⇒ | f(x) − L | < ε

Now, consider the limit

[tex]\lim_{x \to 1} 7x-3=4[/tex]

Here, f(x) = 7x - 3, a = 1, L = 4

Proof:

∀ ε > 0, ∃ δ = ε > 0

0 < | x - 1 | <  δ

⇒ | 7x - 3 - 4 | = | x - 1 | <  δ = ε

Hence, [tex]\lim_{x \to 1} 7x-3=4[/tex]

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Answer:

The following are the correct choices

First : The equation c + d represents the sum of the two numbers

Third: The equation c = (1/2)d - 8 represents the relationship

and the last choice : The number c is 14

Step-by-step explanation:

Translate the word problem into equations and solve for c and d where c is the first number and d the second

Sum is 58 translates to

c + d = 58  (1)     ===>   First choice

First number is 8 less than half the second number translates to

c = (1/2)d - 8  (2)  ==> Third choice

Multiply equation (2) by 2 on both sides giving

2c = d - 16  ==> 2c - d = -16  (3)

Add equations (1) and (3) giving

c + d + 2c - d = 58-16

3c = 42

c = 42/3 = 14  ===> Last choice

Substituting for c in equation (1) gives

14 + d = 58

d = 44

The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100}.

What is domain and range ?

The bis the set of possible input values, and the range is the set of all possible output values of the graph.

In the sets:

Union (∪) of two sets means all the elements in the two sets without repeating the same elements

Intersection (∩) of two sets means the common elements in the two sets

∵ Set L = {0 , 20 , 40 , 80 , 100}

∵ Set M = {5 , 10 , 15 , 20 , 25}

∵ Set N = {10 , 20 , 30 , 40 , 50}

We need to find L ∪ (M ∩ N)

At first find (M ∩ N)

M ∩ N means find the common elements of M and N

10 and 20 are common elements in M and N

M ∩ N = {10 , 20}

Now find the union of L and {10 , 20}

L ∪ {10 , 20} means all elements in L and {10 , 20} without repeating the same elements

L ∪ {10 , 20} = {0 , 10 , 20 , 40 , 80 , 100}

L ∪ (M ∩ N) = {0 , 10 , 20 , 40 , 80 , 100}

The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100}

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Answer:

M=|3x-2|+2/7

Step-by-step explanation:

Find the value of M:

Divide each term by -7. Simplify.

M=|3x-2|+2/7

Find the value of x:

Simplify both sides of the equation, then isolate the variable.

x=-7M/3 OR x=7M/3+4/3

I hope this helps! I tried. Hope you get it right!

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