The cost of demolition vehicles in an action movie is shown in the table. Demolition Vehicles Number Cost ($) 1 350 2. 550 3 750 5 1150 Which of the following is the relation of C, cost, and n, number of vehicles? C = 200n + 150 C = 100n + 250 C = 150n + 200 C = 150n + 100

Answer:

OKay I am decent at geomentry and am in 7th grade but i can't help u if i have no clue whats ur problem? btw i suck at math in general but geomentry i can help with

Step-by-step explanation:

Answer:

A: On average, the number of students going to an office hour varies from the mean by about 2.2 students.

Step-by-step explanation:

We are given that:

- Random variable Q is used to represent the number of students who go to a certain teachers office hour each day.

-The standard deviation of Q is 2.2.

Now, standard deviation in relation to mean is defined as the statistic that measures the dispersion of a set of data relative to its mean.

Applying that definition to the question means that the number of students on the average varies from the mean by 2.2.

Thus, option A is correct.

Answer:

A: On average, the number of students going to an office hour varies from the mean by about 2.2 students.

Step-by-step explanation:

I second the person below me i got it right on asigmnemnt  

Explanation:

In the matrix, the first column represents the coefficient of x, the second column represents the coefficient of y and the third column is the constant value.

As the first row is (1 0 | 3), the equation is

1x + 0y = 3

x = 3

The second row is (0 1 | -6), so the second equation is

0x + 1y = -6

y = -6

It means that the system of equations is

x = 3

y = -6

Therefore, the system is consistent because it has a solution, the solution is (x, y) = (3, -6)

Answers:

What equation does the first row represent? x = 3

What equation does the second row represent? y = -6

A. The system is consistent. The solution is (3, -6)

Answer:

Independents events are events that can happen independently on their own. Events A and B are independent if P(A|B) = P(A).

The "prefer pink" event and "female" event are independent because P(P|F) = P(P) = 0.6P(P∣F)=P(P)=0.6

To do this, we make the following representations:

P \toP→ Pink Lemonade

Y \toY→ Yellow Lemonade

M \toM→ Male

F \toF→ Female

The "prefer pink" event and "female" event are independent if:

P(P|F) = P(P)P(P∣F)=P(P)

P(P|F) \toP(P∣F)→ the probability that a selected person prefers pink provided that the person is female

P(P) \toP(P)→ the probability that a selected person is female

P(P| F) is calculated as:

P(P| F) = \frac{n(P\ n\ F)}{n(F)}P(P∣F)=

n(F)

n(P n F)

i.e. the number of females who prefers pink divided by the number of females

From the table, we have:

n(P\ n\ F) = 72n(P n F)=72

n(F) = 72 + 48 =120n(F)=72+48=120

So, the probability is:

P(P| F) = \frac{72}{120}P(P∣F)=

120

72

P(P| F) = 0.6P(P∣F)=0.6

P(P)P(P) is calculated as:

P(P) = \frac{n(P)}{Total}P(P)=

Total

n(P)

i.e. the all people who prefer pink divided by total number of people

From the table, we have:

n(P) = 156 + 72 = 228n(P)=156+72=228

Total = 156 + 72 + 104 + 48 = 380Total=156+72+104+48=380

So, the probability is:

P(P) = \frac{228}{380}P(P)=

380

228

P(P) = 0.6P(P)=0.6

Recall that:

The "prefer pink" event and "female" event are independent if:

P(P|F) = P(P)P(P∣F)=P(P)

And we have:

P(P| F) = 0.6P(P∣F)=0.6

P(P) = 0.6P(P)=0.6

Hence, the events are independent because:

P(P|F) = P(P) = 0.6P(P∣F)=P(P)=0.6

Option (a) is correct

Answer:

54/7

Step-by-step explanation:

Answer:

There is no table, but here's a formula;

48 miles multiplied by x amount of gallons

Step-by-step explanation:

The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²

What is meant by a perfect square trinomial?

By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.

A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.

Given expression y² - 13y + ?

Comparing with the general equation

a = 1

b = -13

For perfect square trinomial

b² = 4ac

(-13)² = 4 * 1 * c

169 = 4c

c = 169/4

So the expression becomes,

y² - 13y + 169/4 = (y - 13/2)²

Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.

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The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

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Answer:

4 7

Step-by-step explanation:

The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).

Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.

In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.

By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.

Therefore, the relationship between investments and productivity is that investments can help improve productivity.

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We have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

To prove that △ABD ≅ △CBD, we can use the SAS (Side-Angle-Side) congruence criterion.

Given:

∠BDA ≅ ∠BDC (Both are right angles)

D is the midpoint of AC¯¯¯¯¯

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯

BD¯¯¯¯¯ bisects ∠B

Proof:

Since D is the midpoint of AC¯¯¯¯¯, we have AD ≅ CD by the definition of a midpoint.

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯ (Given)

BD¯¯¯¯¯ is a common side for both triangles.

∠BDA ≅ ∠BDC (Given)

To apply the SAS congruence criterion, we need to show that one pair of corresponding sides and the included angle are congruent in both triangles.

AD ≅ CD (Side) - This is true as D is the midpoint of AC¯¯¯¯¯.

∠BDA ≅ ∠BDC (Included Angle) - Both are right angles.

By the SAS congruence criterion, we can conclude that △ABD ≅ △CBD.

Therefore, we have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

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Answer:

The answer is thirty - seven hundredths

Step-by-step explanation:

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.

A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.

Here,

To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:

Minimum value: the smallest value in the data set.

First quartile (Q1): the median of the lower half of the data set.

Median: the middle value in the data set.

Third quartile (Q3): the median of the upper half of the data set.

Maximum value: the largest value in the data set.

First, we need to put the data in order:

10, 12, 14, 15, 16, 18, 22, 24, 25, 28

The minimum value is 10 and the maximum value is 28.

The median is the middle value, which is 18.

To find the first quartile, we need to find the median of the lower half of the data set, which is:

10, 12, 14, 15, 16

The median of this lower half is 14.

To find the third quartile, we need to find the median of the upper half of the data set, which is:

22, 24, 25, 28

The median of this upper half is 24.

So, the five-number summary for this data set is:

Minimum value = 10

First quartile (Q1) = 14

Median = 18

Third quartile (Q3) = 24

Maximum value = 28

Now we can use this information to create the box and whisker plot:

      |          |      

 ----+----+----+----+----

    10   14   18   24   28

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.

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The total number of students on the honor roll decreased by 17.1 percentage.

What is percentage change ?

Percentage change is a measure of the difference between two values expressed as a percentage of the original value. It is a way to express how much a quantity has increased or decreased relative to its original value.

The formula for percentage change is:

Percentage change = ((new value - old value) / old value) x 100%

The "new value" is the value after some change has occurred, and the "old value" is the value before the change. The numerator of the formula calculates the difference between the new value and the old value, and the denominator calculates the percentage of the old value.

Calculating the percentage of the required students :

The original number of students on the honor roll was 140 + 100 = 240.

The number of boys on the honor roll decreased by 25%, which means the new number of boys on the honor roll is 0.75 times the original number of boys on the honor roll:

New number of boys on honor roll = 0.75 × 140 = 105

The number of girls on the honor roll decreased by 6%, which means the new number of girls on the honor roll is 0.94 times the original number of girls on the honor roll:

New number of girls on honor roll = 0.94 × 100 = 94

The total number of students on the honor roll this year is:

New total number of students on honor roll = 105 + 94 = 199

The percentage decrease in the total number of students on the honor roll is:

(240 - 199) / 240 × 100% = 17.1%

Therefore, the total number of students on the honor roll decreased by 17.1%.

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Answer:

m = \(\frac{2}{3}\)

Step-by-step explanation:

m = slope

m = \(\frac{y^2-y^1}{x^2-x^1}\)            

m = \(\frac{-2-4}{-5-4}\)

m = \(\frac{-6}{-9}\)

m = \(\frac{6}{9}\)

m = \(\frac{2}{3}\)

Reason:

Divide the dollar amount over the number of hours to get the hourly rate (aka unit rate)

14/3 = 4.67 approximately

A. The graph of the absolute value function is V-shaped, with the features given as follows:

B. The transformation is that the function was shifted right two units, hence the features are given as follows:

The absolute value function, with vertex (h,k), is defined as follows:

y = |x - h| + k.

The features of the function are given as follows:

For the first item, the function is |x + 3|, hence we just have to identify the features.

For the second function, the definition if h(x) = |x - 2|, with vertex at (2,0), meaning that the function was shifted two units right from the parent absolute value function y = |x|. The shift just changes the turning point of the graph, not altering domain and range.

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Answer: (7, 2.5)

Step-by-step explanation:

Midpoint formula: \((\frac{x1+x2}{2}, \frac{y1+y2}{2} )\)

(x1, y1)= (4, 8)

(x2, y2)= (10, -3)

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

 \((\frac{x1+x2}{2}, \frac{y1+y2}{2} )\)

=\((\frac{4+10}{2}, \frac{8-3}{2} )\)

=\((\frac{14}{2}, \frac{5}{2} )\)

=\((7, 2.5)\)

Hope this helps!! :)

Please let me know if you have any question

Answer:

Area = 40

Perimeter = 26

Step-by-step explanation:

length = 8

width = 5

Area = 8 x 5 = 40

Perimeter = 2(8 + 5) = 26

Answer:

Step-by-step explanation:

dudjdjd

Answer:

Step-by-step explanation:

If y= -5 when x= -20  that means x is 4 times y

y=  8.75  when x= 35

Answer:

Our equation is:

\(\displaystyle y=-\frac{1}{4}x\)

When x=35, y=-35/4 or -8.75.

Step-by-step explanation:

We know that y varies directly with x.

The standard equation is:

\(y=kx\)

We know that y is 5 when x is -20.

So, let’s substitute 5 for y and -20 for x and solve for k, our constant of variation. So:

\(5=k(-20)\)

Divide both sides by -20:

\(\displaystyle k=-\frac{1}{4}\)

Therefore, our constant of variation is -1/4.

Hence, our equation is:

\(\displaystyle y=-\frac{1}{4}x\)

To find y when x=35, let’s substitute 35 for x. So:

\(\displaystyle y=-\frac{1}{4}(35)=-\frac{35}{4}=-8.75\)

So, when x=35, y=-8.75.

Answer:

\(\textsf{a)} \quad BC^2=CD \cdot CF\)

\(\text{b)} \quad BC=12\; \sf inches\)

Step-by-step explanation:

The relationship among the lengths of the segments formed by the secant, CD, and the tangent segment, BC, is that the square of the measure of the tangent segment, BC, is equal to the product of the measures of the secant segment, CD, and its external secant segment, CF.  

Therefore, the equation is:

\(BC^2=CD \cdot CF\)

Yes, it is possible to find the length of BC.  

Using the equation above, we can substitute in the given values of CD and CF and solve for BC:

\(\begin{aligned}BC^2&=CD \cdot CF\\&=16 \cdot 9\\&=144 \end{aligned}\)

Square root both sides of the equation:

\(\begin{aligned} \sqrt{BC^2}&=\sqrt{144}\\BC&=12\end{aligned}\)

Therefore, the length of BC is 12 inches.

Answer:

$1431

Step-by-step explanation:

If Stan pays a 10% deposit, he pays $159. 10% of $1590 is simply 0.1 * 1590 = 159. Assuming this is the only amount he pays, he then simply needs to pay the full price minus $159. We can find this by simply subtracting 159 from 1590 to get 1431. Stan still needs to pay $1431.

The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.

Here,

12x-x+8+3x=14x+8

The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.

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Answer:

333 * 666

Step-by-step explanation:

The image of the transformation on the graph are (7, -7), (7, -2) and (-1, -14)

The graph represents the given parameter

On the graph, we have the coordinates of the triangle to be

(3, 1), (3, 6) and (-5, -6)

The transformation rule is given as

Translated 4 units to the right, and 8 units down.

Mathematically, the transformation rule is given as

(x, y) = (x + 4, y - 8)

When the above transformation rule is applied to the coordinates of the triangle, we have

(3 + 4, 1 - 8), (3 + 4, 6 - 8) and (-5 + 4, -6 - 8)

Evaluate the sum and the difference

So, we have

(7, -7), (7, -2) and (-1, -14)

Next, we plot the image of the transformation on the graph

See attachment for the image of the transformation of the triangle on the graph

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The solution is:

⇒ 6b = 95.94   (equation to determine cost of one box)

cost of one box 'b' = $`15.99

⇒ 12t = 95.94   (equation to determine cost of per tile)

cost of one tile t = $0.7995.

Given :

Jorge bought a crate of floor tiles for $95.94.

The crate had 6 boxes of floor tiles.

Each box contained 20 floor tiles .

To Find :

Write and solve equation to determine the cost per box'b'.

Write and solve a second equation to determine the cost per tile't'

Solution :

Cost of one box = b

There are 6 boxes

So, cost of 6 boxes = $  6b

Since Jorge bought 1 crate( = 6 boxes) of cost $95.94

⇒     (equation to determine cost of one box)

⇒6b = 95.94

⇒b =15.99

Thus cost of one box = $`15.99

Since 1 box 20 floor tiles

So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles

We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94

Cost of one tile = t

Cost of 120 tiles = $120t

⇒ (equation to determine cost of per tile)

⇒12t = 95.94

⇒t = 0.7995.

Thus cost of one tile t = $0.7995.

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