Anybody want to answer this?

Answer: 6

Step-by-step explanation:

We can set up a proportion equation since the shapes are similar

12/8 = x/4

multiply both sides by 4

6 = x

x = 6

The correct answer of the given axis related problem is option B.(  Y intercept will be less and X intercept will be greater ).

What is axes?

Axes are the lines which are used to measure data on graphs and grids. There are two types of axes: the vertical axis, and another is the horizontal axis.

On the Y axis we have the profit from the trucking company and on the X axis we have the miles the truck has traveled. The company decided that they needed to start paying for a driver at a price of 0.25 cents a mile.

they pay the driver. $0.25 per mile.

this will be their profit.

so, the Y that is the profit values all go down by 0.25.

So, the y-intercept is going down too.

that eliminates the options C and D.

for the given condition  to be true they have to have some overhead costs that apply even if there are 0 miles traveled (which means that the y-intercept : the y-value when x value is equals to 0).

so, the line must be in a form

y = ax + b

and since we assumed the line to go up in positive direction which indicates positive slope, a sinking line means that the x-intercept (the break-down point, where the line goes from beneath the x-axis and therefore in negative direction (y) profit up into positive profit) will move to the right (become larger).

because now that they have add on costs (paying the driver), it takes longer (more miles to drive) to make a positive profit.

and this reason eliminates A,

Hence, there is only one option left, B.

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[tex]f^(-1)(2) = 6[/tex], which is consistent with our earlier result.

A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.

Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is [tex]f^(-1)(2)[/tex]?

Solution:

To find f^(-1)(2), we need to find the value of x such that  [tex]f(x) = 2[/tex] . We can set up an equation:

[tex]f(x) = \sqrt(2x - 8) = 2[/tex]

Squaring both sides, we get:

[tex]2x - 8 = 4[/tex]

[tex]2x = 12[/tex]

[tex]x = 6[/tex]

Therefore, [tex]f^(-1)(2) = 6.[/tex]

We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:

[tex]f(f^(-1)(x)) = x[/tex]

We can substitute x = 2 and solve for f^(-1)(2):

[tex]f(f^(-1)(2)) = 2[/tex]

[tex]f^(-1)(2) = (f(6))^(-1)[/tex]

f(6) = √(2(6) - 8) = √4 = 2

Therefore,[tex]f^(-1)(2) = 6[/tex], which is consistent with our earlier result.

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The algebraic expression to express "Multiply y by 6, then divide the product by 7" is 6y/7.

We have,

The algebraic expression that represents "multiply y by 6, then divide the product by 7" is:

(6y) / 7

In this expression,

The product of y and 6 is divided by 7.

Thus,

The algebraic expression to express "Multiply y by 6, then divide the product by 7" is 6y/7.

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Answer:

---------------------

The time is:

The rate is given - 2.3 ft³/min.

Find the volume of cylinder:

Find the required time:

The correct answer is C. The median of Set A is smaller than the median of Set B.

To find the median and mean of a data set, we need to calculate the average value of the data.

For Set A:

The median is the middle value when the data is arranged in numerical order. First, we need to arrange the data set in order:

1, 2, 2, 2, 3, 3, 4, 5, 6, 6, 7, 7, 8

There are 13 values in this data set, so the median is the average of the middle two values:

Median = (3 + 4) / 2 = 3.5

To find the mean, we need to add up all the values and divide by the total number of values:

Mean = (1 + 2 + 2 + 2 + 3 + 3 + 4 + 5 + 6 + 6 + 7 + 7 + 8) / 17 = 4

For Set B:

The median is the middle value when the data is arranged in numerical order. First, we need to arrange the data set in order:

4, 6, 50

There are 3 values in this data set, so the median is the middle value:

Median = 6

To find the mean, we need to add up all the values and divide by the total number of values:

Mean = (4 + 6 + 50) / 3 = 20

Therefore, the correct answer is C. The median of Set A is smaller than the median of Set B.

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The critical value t Subscript c is 2.492.

We have,

To find the critical value t Subscript c, we need to use a t-distribution table or calculator.

The critical value will depend on the confidence level and the degrees of freedom, which is n - 1 for a sample size of n.

For a confidence level of c = 0.98 and a sample size of n = 25.

The degrees of freedom df.

= n - 1

= 25 - 1

= 24

Using a t-distribution table or calculator, we can find the critical value t Subscript c that corresponds to a 98% confidence level and 24 degrees of freedom.

Thus,

The critical value t Subscript c is 2.492.

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We can rewrite the expression as ln(x-6) - 11*ln(x)/8, which can then be evaluated by using a calculator.

Logarithmic functions can be used to describe relationships between two variables that involve exponential rates of change.

The logarithmic expression 8ln (x-6) - 11 In x can be written as a single logarithm whose coefficient is 1 by using the properties of logarithms.

First, we rearrange the terms to put the ln terms together: 8ln (x-6) - 11lnx = ln(x-6) - 11lnx/8.

We can then use the property of logarithms that states that

log(ab) = log a + log b.

This allows us to rewrite the expression as ln(x-6/x¹¹/8). Finally, we can simplify the expression by using the property of logarithms that states that log(a/b) = loga - logb. This allows us to rewrite the expression as ln(x-6) - ln(x¹¹/8). The final expression is ln(x-6) - ln[(x¹¹/8)], which is a single logarithm whose coefficient is 1.

If we were to evaluate the expression, we could use the property of logarithms that states that logaᵇ = b*log a.

We can rewrite the expression as ln(x-6) - 11*ln(x)/8, which can then be evaluated by using a calculator.

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The sun is elevated at a about 36.7 degree angle.

We can utilize the tangent function, which connects the opposite and adjacent sides of a right triangle, to get the angle of elevation of the sun:

tan(theta) = adjacent or opposite

The other side in this instance is the basketball backboard's 12.5-foot height. The distance from one side to the other, or 17.33 feet, is the length of the backboard's shadow. We thus have:

theta (theta) = 12.5 / 17.33

We can use the inverse tangent (or arctan) of both sides to find theta:

arctan(12.5 / 17.33) = theta

Calculating the answer, we obtain:

36.7 degrees are theta.

As a result, the sun is elevated at a about 36.7 degree angle.

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If we write a quadratic in vertex form:

[tex]y=a(x-h)^2+k[/tex]

Then:

[tex]\bold{a}[/tex]   [tex]\longrightarrow[/tex]    is the coefficient of [tex]x^2[/tex]

[tex]\bold{h}[/tex]   [tex]\longrightarrow[/tex]    is the axis of symmetry.

[tex]\bold{k}[/tex]   [tex]\longrightarrow[/tex]    is the max/min value of the function.

Also:

If [tex]a > 0[/tex] then the parabola will be of the form [tex]\cup[/tex] and will have a minimum value.

[tex]a < 0[/tex] then the parabola will be of the form [tex]\cap[/tex] and will have a minimum value.

For the given functions:

[tex]a < 0[/tex]

[tex]f(x)=-(x-1)^2+5[/tex]        this has a maximum value of [tex]\bold{5}[/tex]

[tex]a > 0[/tex]

[tex]f(x)=(x+2)^2-3[/tex]           this has a minimum value of [tex]\bold{-3}[/tex]

Answer:

To calculate the total expenses of Jose and Lisa Sanchez in the given scenario, the formula that should be entered in the spreadsheet cell is =SUM(B10+B23+B40). This formula will sum up the fixed expenses in cell B10, variable expenses in cell B23, and the pro-rated non-monthly expenses in cell B40 to give the total expenses for the month. Therefore, the answer is option D: =SUM(B10+B23+B40).

[tex](\stackrel{x_1}{40}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{20}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-2}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{20}-\underset{x_1}{40}}} \implies \cfrac{ -2 }{ -20 } \implies \cfrac{ 1 }{ 10 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{ \cfrac{ 1 }{ 10 }}(x-\stackrel{x_1}{40})\implies {\Large \begin{array}{llll} y=\cfrac{1}{10}x+4 \end{array}}[/tex]

The complement of angle x degrees can be written as the expression:

(90 - x)°.

The complement of an angle is defined as the angle that, when added to the original angle, will give us a sum in a total of 90 degrees.

This means that, if an angle measure is represented by the variable, x degrees, then its complement is (90 - x) degrees.

By implication, if the measure of an angle is 30 degrees, the complement of 30 degrees would be:

90 - 30 = 60°.

Thus, an angle and its complement will always give a total sum of 90 degrees.

Therefore, the expression we can write for the complement of angle x is:

90 - x

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Answer:

a) If you invest $100 per month starting at age 18, you will have $1,567,088 when you retire. If you wait to start investing at age 35, you will have $278,513 when you retire. Therefore, the difference between the two amounts is:

$1,567,088 - $278,513 = $1,288,575

So, if you invest $100 per month starting at age 18, you will have $1,288,575 more when you retire than if you wait to start investing at age 35.

b) If you wait until age 45 to begin investing for your retirement, you will have $95,317 when you retire. If you had begun investing at age 25, you would have had $788,430 when you retire. Therefore, the difference between the two amounts is:

$788,430 - $95,317 = $693,113

So, if you wait until age 45 to begin investing for your retirement, you will have $693,113 less than if you had begun investing at age 25.

Answer:

20

Step-by-step explanation:

Avg length of a pencil= 19cm

length of cylinder=380cm

pencils produced=?

num of pencils produced= length of cylinder ÷ avg length of a pencil

= 380÷19

=20

therefore, number of pencils produced are 20

RECHECK

since avg length of pencil × num of pencils produced must be equal to the length of the given cylinder

19×20=380cm

therefore, our answer is correct

mark me as brainiest with 50 points would mean alot

The expression/ equation equivalent to - 3/5 (7 - 3 1/3) is: (- 3/5) (7) + (- 3/5)(- 3 1/3). Option D.

We're given the expression: - 3/5 (7 - 3 1/3)

To find the equivalent expression, first, we should convert the mixed number (3 1/3) to an improper fraction. To do this, multiply the whole number (3) by the denominator (3) and add the numerator (1). This gives us:

3 x 3 + 1 = 9 + 1 = 10

So, 3 1/3 as an improper fraction is 10/3. Now, the expression becomes:

3/5 (7 - 10/3)

Now we can use the distributive property, which states that a(b + c) = ab + ac, to simplify the expression further:

3/5 x 7 + (- 3/5) x (- 10/3)

This expression corresponds to option d:

d. (- 3/5) (7) + (- 3/5)(- 3 1/3) when converted to an improper fraction as (- 3/5)(- 10/3)

The above answer is based on the question below as seen in the picture;

What expression is equivalent to - 3/5 (7 - 3 1/3)?

a) (- 3/5) (-7) + (- 3/5)(-3 1/3)

b. - (- 3/5) (7) - (- 3/5)(3 1/3)

c. - (- 3/5) (7) - (- 3/5)(- 3 1/3)

d. (- 3/5) (7) + (- 3/5)(- 3 1/3)

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The tax revenue is $ 9000 and Deadweight loss is $500.

We have,

Hotel rooms in Smalltown go for $100, and 1,000 rooms are rented on a typical day.

So, The tax revenue is calculated by :

Tax revenue = Tax Imposed × Quantity sold

= 10 x 900

= $ 9000

Now, The deadweight loss is calculated as:

= 1/2 × Tax imposed × change in quantity sold

= 1/2 x 10 x (1000-900)

= $500

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The total distance to Olivia's house is 50 miles and x = 5

Given data ,

Let the total distance to Olivia's house be = 50 miles

Now , the distance from Anna and bakery = ( 7x + 8 ) miles

The remaining distance = ( 2x - 3 ) miles

So , on simplifying the equation , we get

( 7x + 8 ) + ( 2x - 3 ) = 50

9x + 5 = 50

Subtracting 5 on both sides , we get

9x = 45

Divide by 9 on both sides , we get

x = 5

Hence , the equation is solved and x = 5

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The simplified form of the given expression is -50(12x⁴-5³+12x²+2x+1).

The given expression is 50-50x[3-3x{4-4x²}-5+5x²].

Here, 50-50x[3-12x+12x³-5+5x²]

= 50-50x[-2-12x+12x³+5x²]

= 50+100x+600x²-600x⁴-250³

= -600x⁴-250³+600x²+100x+50

= -50(12x⁴-5³+12x²+2x+1)

Therefore, the simplified form of the given expression is -50(12x⁴-5³+12x²+2x+1).

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If average of five numbers is 25, the numbers are 19, 21, 24, 25. So, the other number is 36.

Average is a measure of central tendency that represents the typical or most common value in a set of numbers.

We know that the average of five numbers is 25, so,

Average = {Sum of the five numbers} ÷ 5

25 = (19 + 21 + 24 + 25 + x) / 5

where x is the unknown number we are trying to find.

Cross-multiply and simplify:

25 × 5 = 19 + 21 + 24 + 25 + x

125 = 89 + x

x = 36

Therefore, the fifth number is 36.

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The only solution for log₂(x-1)+log₂(x+5) is x = 3 using logarithms.

Logarithmic properties are rules that allow us to simplify and manipulate logarithmic expressions. They are based on the properties of exponents and are essential in solving logarithmic equations and evaluating logarithmic expressions.

Using the logarithmic property that log a + log b = log ab, we can simplify the left-hand side of the equation to:

log₂((x-1)(x+5)) = 4

2⁴ = (x-1)(x+5)

Simplifying:

16 = x² + 4x - 5

Rearranging:

x² + 4x - 21 = 0

Factorizing:

(x + 7)(x - 3) = 0

Therefore, either x + 7 = 0 or x - 3 = 0. Solving for x in each case:

x + 7 = 0 → x = -7

x - 3 = 0 → x = 3

However, we need to check whether these solutions are valid in the original equation. We cannot take the logarithm of a negative number, so x = -7 is not a valid solution.

Therefore, the only solution is x = 3.

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The value of the expression z² + 6(x - z)² is 252.

Given information:

z² + 6(x - z)².

And x = 12 and z = 6.

To find the value of the expression, substitute x = 12 and z = 6 into the expression:

z² + 6(x - z)² = 6² + 6(12 - 6)²

= 36 + 6(6)²

= 36 + 216

= 252

Therefore, when x = 12 and z = 6, the value of the expression z² + 6(x - z)² is 252.

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Answer:

Part = 24 students

Whole = 60 students

Percent = 40%

Step-by-step explanation:

When dealing with percents, we can use the formula

P%x = y, where x is the whole and y is the part.

Since the 24 students is part of the entire group of 6th graders (whole), our y value is 24.

Now, we can solve for x to find how many students are in the 6th grade.

[tex]0.40x=24\\x=60[/tex]

The quadratic function in standard form that models the graph is f(x) = 4x² + x + 1.

A quadratic function is a function that can be represented by a second-degree polynomial equation of the form f(x) = ax² + bx + c, where a, b, and c are constants and x is the variable. The graph of a quadratic function is a parabola, which can open upward or downward depending on the sign of the coefficient a.

The coefficient a determines the shape and direction of the parabola. If a is positive, the parabola opens upward, and if a is negative, it opens downward. The vertex of the parabola, which is the highest or lowest point depending on the direction, is located at the point (-b/2a, f(-b/2a)).

To write a quadratic function in standard form, we need to use the general equation of a quadratic function:

f(x) = ax² + bx + c

We know that the parabola passes through the points (-1, 4) and (0, 1), so we can use these two points to form a system of equations and solve for a, b, and c.

Substituting the x and y values of the first point (-1, 4), we get:

4 = a(-1)² + b(-1) + c

4 = a - b + c (equation 1)

Substituting the x and y values of the second point (0, 1), we get:

1 = a(0)² + b(0) + c

1 = c (equation 2)

We can use equation 2 to solve for c, which is already known to be 1:

c = 1

Substituting this value of c into equation 1, we get:

4 = a - b + 1

a - b = 3 (equation 3

To solve for a and b, we can use any method we like, such as substitution or elimination. Let's use substitution. Solving equation 3 for b, we get:

b = a - 3

Substituting this expression for b into equation 1, we get:

4 = a - (a - 3) + 1

4 = 4

a = 4

Now that we know a = 4, we can substitute this value into the expression we found for b:

b = a - 3

b = 4 - 3

b = 1

So the quadratic function in standard form that models the graph is:

f(x) = 4x² + x + 1.

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Answer:

C. (310 − 10) ÷ 15 = s

Step-by-step explanation:

The correct answer is C. (310 − 10) ÷ 15 = s. This is because we can use the following steps to find the equation:

First, we need to find how many pieces of candy were given out in total. Since there are 10 pieces left over in the bag, and the bag originally contained 310 pieces, we can subtract 10 from 310 to get 300 pieces given out.

Next, we need to find how many pieces of candy each student received. Since 15 pieces of candy were given to s students, we can divide 300 by 15 to get the number of students. This gives us 20 students.

Finally, we need to write an equation that relates the number of students (s) to the number of pieces of candy given out (300) and the number of pieces of candy per student (15). We can do this by using the inverse operations of subtraction and division. We can multiply both sides by 15 and then add 10 to both sides to get the equation:

(310 − 10) ÷ 15 = s

This equation can be used to find the number of students if we know the number of pieces of candy in the bag, the number of pieces left over, and the number of pieces per student.

But wait, there's more! If you act now, you can also get a bonus question for free! Here it is:

If s students each received 15 pieces of candy, and there are 10 pieces left over in the bag, how many cavities will they have after eating all the candy?

There are a few possible ways to approach this question, but here is one:

- First, we need to find how many pieces of candy each student ate. Since they received 15 pieces each, and there are no leftovers, we can assume they ate all of them. So each student ate 15 pieces.

- Next, we need to find how many cavities each piece of candy causes. This may vary depending on the type and quality of the candy, but let's assume that each piece causes 0.1 cavities on average. This means that for every 10 pieces of candy, one cavity is formed.

- Finally, we need to multiply the number of pieces each student ate by the number of cavities each piece causes, and then add up all the results for all the students. This will give us the total number of cavities for the whole group. We can use this formula:

c = (15 × 0.1) × s

where c is the number of cavities and s is the number of students.

Using this formula, we can plug in the value of s that we found

c = 1.5 × 20

c = 30

✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧

Answer:

22. Congruent traingle

24. Similar traingle

We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.

Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:

Properties of the similar triangle:

Properties of the Congruent Triangle:

Answer:

17.5%

Step-by-step explanation:

if you know that there is 26 letters in the alphabet and we have 9 colors thats 1 out of 9 and 1 out of 25 so when we and it all up we get 17.5%

PLS GIVE BRAINLIST MEAN THE WORLD

Step-by-step explanation:

Let x be the number of ounces of 20% saline solution needed, and y be the number of ounces of 70% saline solution needed to obtain 25 ounces of a 50% saline solution.

To solve the problem, we can use the fact that the amount of salt in the final mixture must equal the sum of the amounts of salt in the two original solutions. That is:

0.2x + 0.7y = 0.5(25)

Simplifying this equation gives:

0.2x + 0.7y = 12.5

We also know that the total amount of solution is 25 ounces, so:

x + y = 25

We now have two equations with two variables, which we can solve using algebra. Rearranging the second equation to solve for x in terms of y, we get:

x = 25 - y

Substituting this expression for x into the first equation, we get:

0.2(25 - y) + 0.7y = 12.5

Multiplying out the terms and simplifying gives:

5 - 0.2y + 0.7y = 12.5

0.5y = 7.5

y = 15

Substituting this value for y into the equation x = 25 - y, we get:

x = 25 - 15 = 10

Therefore, we need 10 ounces of the 20% saline solution and 15 ounces of the 70% saline solution to obtain 25 ounces of a 50% saline solution.

Answer:

x = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

4x + 2 = 7X - 3  Subtract 4x from both sides

4x - 4x + 2 = 7x - 4x - 3

2 = 3x - 3  Add 3 to both sides

2 + 3 = 3x -3 + 3

5 =3x  Divide both sides by 3

[tex]\frac{5}{3}[/tex]

Check

4x + 2 = 7x -3  Substitute 5 for x

4([tex]\frac{5}{3}[/tex]) + 2 = 7([tex]\frac{5}{3}[/tex]) -3

[tex]\frac{20}{3}[/tex] + 2 = [tex]\frac{35}{3}[/tex] - 3

[tex]\frac{20}{3}[/tex] + [tex]\frac{6}{3}[/tex] = [tex]\frac{35}{3}[/tex] - [tex]\frac{9}{3}[/tex]

[tex]\frac{26}{3}[/tex] = [tex]\frac{26}{3}[/tex] Checks

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