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Both Amy and Laura increased their gas mileage in the first two weeks.

Option B is the correct answer.

The missing graph is attached with the answer.

A graph is a statistical way of showing data , it is used to show relation between the points.

A graph is useful in understanding the nature of a function.

From the data given in the question

The statements that can be concluded is , Option B

Both Amy and Laura increased their gas mileage in the first two weeks.

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Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

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Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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Answer:

Given Integral is:

\( \\ { \displaystyle{ \int{ \large{ \rm{ \frac{1}{x( {x}^{3} + 1) }dx }}}}} \\ \)

Can be written as:

\( \\ { \large{ \longrightarrow{ \displaystyle{ \int { \rm{\frac{3 {x}^{2} }{3 {x}^{2} \times x( {x}^{3} + 1) } dx}}}}}}\)

\( \\ { \large{ \longrightarrow \frac{1}{3} \: { \displaystyle{ \int{ \rm { \frac{ {3x}^{2} }{ {x}^{3} ( {x}^{3} + 1)} dx}}}}}}\)

Now to evaluate this integral , we use the method of Substitution.

So, Substitute:

\( \: \: \: \: \: \: \: \: \: \: \: \: { \rightarrow \: {\large{\rm{ {x}^{3} = y}}}}\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \rightarrow \: { \large{ \rm{3 {x}^{2} dx = dy}}}\)

So, on Substituting the values in above integral, we get:

\( \\ { \large{ \longrightarrow{ \frac{1}{3} \: \displaystyle{ \int{\rm{ \frac{1}{y(y + 1)} }}}}}}\)

\( \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ \rm{ \frac{1 + y - y}{y(y + 1)}dy }}}}}}}\)

\( \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ {\rm{ \frac{y + 1 - y}{y(y + 1)}dy }}}}}}}}\)

\( \\ { \large{ \longrightarrow{ \frac{1}{3} \: { \displaystyle{ \int{ \rm{ \left[ \frac{1}{y} - \frac{1}{y + 1} \right ] }dy}}}}}}\)

\({ \large{ \longrightarrow{ \rm{ \frac{1}{3} \left( log |y| - log |y + 1| \right) + c}}}}\)

\({ \large{ \longrightarrow{ \rm{ \frac{1}{3} log | \frac{y}{y + 1} | + c }}}}\)

\({ \large{ \longrightarrow{ \rm{ \frac{1}{3} log | \frac{ {x}^{3} }{ {x}^{3} + 1 } | + c }}}}\)

Hence,

\( \\{ \boxed{ \pink { \large{ \displaystyle{ \int{ \rm{ \frac{dx}{x ({x}^{3 } + 1 )} = \frac{1}{3 } log{ \huge{ |}} \frac{ {x}^{3} }{ {x}^{3} + 1} { \huge{ | }} + c}}}}}}}\)

After applying algebraic substitution, partial fraction decomposition and integration rules the integral of the non-trascendental expression \(\frac{1}{x\cdot (x^{3}+1)}\) is equal to the trascendental expression \(I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C\).

According to the statement we have an integrable rational expression formed by non-trascendental expressions, that is, expressions whose behavior is described solely by algebraic components. This expression can be solved by algebraic substitution after making the following modifications:

\(\int {\frac{dx}{x\cdot (x^{3}+1)} } = \int {\frac{3\cdot x^{2}}{3\cdot x^{3}\cdot (x^{3}+1)} } \, dx = \frac{1}{3}\int {\frac{3\cdot x^{2}}{x^{3}\cdot (x^{3}+1)} } \, dx\)

And the following substitutions are used: u = x³, du = 3 · x² dx

\(\frac{1}{3} \int {\frac{du}{u \cdot (u+1)} }\)

This is expression is equivalent to the following by partial fraction decomposition:

\(-\frac{1}{3}\int {\frac{du}{u+1} } \, du +\frac{1}{3}\int {\frac{du}{u} }\)

And the integral is now solved:

\(I = -\frac{1}{3}\cdot \ln |u+1| + \frac{1}{3}\cdot \ln |u| + C\)

\(I = \frac{1}{3}\cdot \ln \left|\frac{u}{u+1} \right| + C\)

\(I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C\)

Where C is the integration constant.

After applying algebraic substitution, partial fraction decomposition and integration rules the integral of the non-trascendental expression \(\frac{1}{x\cdot (x^{3}+1)}\) is equal to the trascendental expression \(I = \frac{1}{3}\cdot \ln \left|\frac{x^{3}}{x^{3}+1} \right| + C\).

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Answer:

1300 mm

Step-by-step explanation:

Google saves me ;)

Answer:

1.3m=1300mm

Step-by-step explanation:

I dont have an explanation. I just converted it in my head

Answer: .025

Step-by-step explanation: we first have to find the distance between each term we divide 12/5 by 6 you have to change it into multiplication so you invert is to 12/5 times 1/6 you then get 12/30 you reduce that to become 2/5 if you want to test this to make sure it is right then you can. you then use a formula but I can't remember it so then you can just multiply it several times to find the answer. you get the answer by round from the thousandths

Answer:

2

Step-by-step explanation:

y1-y2/x1-x2

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

A    d = 5+2

Step-by-step explanation:

There are two more drummers than violinists

There are 5 violinists

5 + 2 = d

or in other words, d = 7

If my answer is incorrect, pls correct me!

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y = 21

i might be wrong, sorry if i am!!

Answer:

Y=21

Step-by-step explanation:

Y/28=24/32

Y=24×28

--------

32

Y=21

The statement indicates that when a set X is partitioned, each partition forms an  parity relation by grouping together  rudiments that are considered original within each subset, thereby creating distinct and non-overlapping subsets within the original setX.  

The statement" each partition P of X defines an  parity relation on X" means that when a set X is divided into non-overlapping subsets or partitions, each partition creates an  parity relation on the original set X.

An  parity relation is a relation that satisfies three  parcels reflexivity,  harmony, and transitivity.  In the  environment of partitions, when a set X is divided into subsets, each partition forms an  parity relation by grouping together  rudiments that partake a common characteristic or property.

Within each partition, the  rudiments are considered original or affiliated to each other, and they're distinct from  rudiments in other partitions.  The meaning of" each partition P of X" refers to every possible way of dividing the set X intonon-overlapping subsets.

It implies that different partitions may  live grounded on different criteria or conditions for grouping  rudiments.

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STEP-BY-STEP EXPLANATION:

Given information

The modeled function given is y = 1200 + 10x

Where,

y represents the total cost of publishing a book

x represents the number of copies of the book

Part a

What is the change in the total cost for each book printed?

Remember that the change in the total cost for each book printed is the same thing as the slope

The next step is to find the slope

Recall that, the slope-intercept form is given as

y = mx + b

where m is the slope of the line

b is the intercept of the line

From the equation given

y = 10x + 1200

Hence, the slope is 10 dollars/ copy

Therefore, the change in total cost for each book printed is 10 dollars/copy

Part B

What is the cost to get started?

The cost to get started can be calculated when no book has been printed

This implies that x = 0

Therefore

y = 1200 + 10(0)

y = 1200 + 0

y = $ 1200

Therefore, the cost to get started is $1200

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Your CORRECT answer will be B

Step-by-step explanation:

It is definantely not A, because it 102, not 120, so it b, c, or d.

102.081 sounds exact, but what about C? You cannot leave out the 0, so that's out too! 102.801? Say it out loud, doesn't make sense! So you have only one answer left, C.

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Answer:

Step-by-step explanation:

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

(-6,-9)

Step-by-step explanation:

Statement Reason

0. XA = 500 ft Given

1. AC = 500 ft Given

2. BC = 327 ft Given

5. A is the midpoint of XC XA = AC

10. XY = 327 ft XY = BC

The total cupcakes the bakery sell that day is 80

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

Number of sales = 76

Proportion = 95%

This implies that

Number of sales = Proportion * Total number of cupcakes

Substitute the known values in the above equation, so, we have the following representation

76 = 95% * Total number of cupcakes

Divide both sides by 95%

Total number of cupcakes = 80

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Given:

Cylinder

Diameter: 12ft

Height: 20ft

Part A: Find the volume of the silo

Volume of a cylinder:

r is the radius (radius is half of the diameter)

h is the height

Part B: As each bag fills 12 cubic feet, divide the number of cubic feet that can fit in the silo into 12 to find the total number of bags that the farmer must purchase:

Answer: 31 i think

Step-by-step explanation:

Roman Rounds normally charges $18 for a large pizza.

What is the equation in one variable?

An equation in one variable is a mathematical statement that uses one variable and an equal sign to relate two expressions. The variable in the equation represents an unknown value, and the goal is often to find the value of the variable that makes the equation true.

Let's use p to represent the normal price of each large pizza charged by Roman Rounds.

Since the price of each pizza was reduced by $2 for the bulk order, the amount Mr. Mosley paid for 12 large pizzas is:

12(p - 2) = $192

We can simplify this equation by first distributing the 12 on the left side:

12p - 24 = $192

Then, we can isolate the variable p on one side of the equation by adding 24 to both sides:

12p = $216

Finally, we can solve for p by dividing both sides by 12:

p = $18

Therefore, Roman Rounds normally charges $18 for a large pizza.

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Answer: f(x)=2^x+5

Step-by-step explanation:

math

\(1 \frac{1}{7} \times 2\frac{4}{5} \\ = \frac{7+1}{7}\times \left(\frac{2\times 5+4}{5}\right) \\ = \frac{8}{7}\times \left(\frac{2\times 5+4}{5}\right) \\ = \frac{8}{7}\times \left(\frac{10+4}{5}\right) \\ = \frac{8}{7}\times \left(\frac{14}{5}\right) \\ = \frac{8\times 14}{7\times 5} \\ = \frac{112}{35} \\ = \boxed{ \frac{16}{5}=3.2}\)

Hope it helps!

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Answer:

Simplify:

1(1/7) × 2(4/5)

⇛8/7 × 13/5

⇛(8×14)/(7×5)

⇛112/35

Now, reduce the fraction by extracting and cancaling out with"7" then, we get

⇛16/5 Ans.

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

if you are not sure check 3/4 into the equation

So, the spread of the numbers 4, 6, 7, 9, 9 is 5.

Spread can refer to different things depending on the context. Here are a few examples:

In finance, spread refers to the difference between the bid price and the ask price of a security or asset. The bid price is the highest price a buyer is willing to pay for a security, while the ask price is the lowest price a seller is willing to accept. The spread represents the cost of trading that security or asset and is typically measured in basis points (hundredths of a percentage point).

In sports betting, spread refers to the point spread or handicap that is assigned to a team in order to make the betting odds more even. For example, if a football team is favored to win by 7 points, they may be assigned a -7-point spread, meaning they would have to win by more than 7 points for a bet on them to be successful.

In epidemiology, spread refers to the transmission of a disease from one person to another. The spread of a disease can be influenced by a variety of factors, including the infectiousness of the disease, the proximity and frequency of contact between people, and the effectiveness of measures to prevent transmission (such as vaccines or masks).

In cooking, spread can refer to a variety of ingredients that are used to spread on bread or crackers, such as butter, jam, or peanut butter.

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The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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The coordinates of midpoint of line segment with given endpoints (2, -1) and (-6, 0)  are ( -2 , -1/2 ) .

Mid - Point of a line segment : It is a point which divides a line segment into 2 equal halves .

Mid-Point Formula

M = ( \(x_{A}\) + \(x_{B}\) )/2 , ( \(y_{A}\) + \(y_{B}\) )/2

where   x - coordinate of mid - point =  ( \(x_{A}\) + \(x_{B}\) )/2

             y - coordinate of mid - point =  ( \(y_{A}\) + \(y_{B}\) )/2

Calculating x - coordinate :

= ( \(x_{A}\) + \(x_{B}\) )/2

= (-6+2)/2

=-4/2

=-2

Calculating y - coordinate :

= ( \(y_{A}\) + \(y_{B}\) )/2

= (0-1)/2

= -1/2

M = ( \(x_{A}\) + \(x_{B}\) )/2 , ( \(y_{A}\) + \(y_{B}\) )/2

Therefore , M =  ( -2 , -1/2 ) .

Hence , the coordinates of midpoint of line segment with given endpoints (2, -1) and (-6, 0)  are ( -2 , -1/2 ) .

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Step-by-step explanation:

This is of the form

(x-h)^2 + ( y-k)^2 = r^2        so r^2 = 16  means r = 4   units