John owns a hotdog stand. His profit is represented by P(x)=-x^2+10x+34,with p (x) being profit and X the number of hotdogs sold. What is the most he can earn in dollars?

Answer: The answer is 31 Miles

Your welcome!

(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

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Answer:

b. -3

Step-by-step explanation:

30 - 3 = 27

27 - 3 = 24

24 - 3 = 21....

Answer:45

Step-by-step explanation:

Answer:

A' = (1, 0)

B' = (0, -3)

C' = (3, -1)

Step-by-step explanation:

4 units right is adding 4 to the x value.

1 unit up is adding 1 to the y value.

A' = (1, 0)

B' = (0, -3)

C' = (3, -1)

Hope this helps!

No. If you don’t believe me use a calculator

Step-by-step explanation:

Answer:c and d

Step-by-step explanation:

Statements in the options 3 and 4 are true inequalities.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Here,

1) a - b < a + b

Here, the statement is not true.

2) ac ≥ bc

Here, the statement is not true.

3) If a ≥ b, then a + c ≥ b + c

Here, the statement is true.

4. If c > d, then a-c < a-d

Here, the statement is true.

5) If a < b, then a < b + c

Here, the statement is not true.

Therefore, options 3 and 4 are correct answers.

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Answer:

x=3

(26x+50degreese) = 134 degreese

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The latus rectum is the horizontal chord through the focus. It intersects the parabola at a point that is equidistant from the focus and the directrix (as all points on the parabola are). The vertex is half the distance from the focus to the directrix, so the points of intersection are twice as far horizontally from the focus as they are vertically from the vertex.

The short of it is this: draw a line with slope 1/2 through the vertex. Where it intersects the parabola is one end of the latus rectum. The y-coordinate of the point will be the y-coordinate of the focus.

Here, the vertex is (-1, 4). A line of slope 1/2 through that point will intersect the parabola at (-3, 3). This means the focus is (-1, 3), one unit below the vertex. That -1 unit is the value of p. The location of the directrix is that 1 unit in the opposite direction from the vertex, at y = 5.

Answer:

the median is increased from 7 to 7.5

a.) The independent variable is the different types of music

b.) The dependent variable is the impact of listening felt by the rats

c.)An extraneous variable is the length of the maze.

d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.

A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.

For question a.)

The independent variable is the different types of music

For question b.)

The dependent variable is the impact of listening felt by the rats

For question c.)

An extraneous variable is the length of the maze.

For question d.)

The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.

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If the pattern continues, so that each term is separated by a distance of 3, then the sequence is given by the recursive rule

\(\begin{cases}a_1=1\\a_n=a_{n-1}+3&\text{for }n>1\end{cases}\)

From this definition, we can write \(a_n\) in terms of \(a_1\):

\(a_2=a_1+3\)

\(a_3=a_2+3=(a_1+3)+3=a_1+2\cdot3\)

\(a_4=a_3+3=(a_1+2\cdot3)+3=a_1+3\cdot3\)

\(a_5=a_4+3=(a_1+3\cdot3)+3=a_1+4\cdot3\)

and so on, up to

\(a_n=a_1+(n-1)\cdot3\)

(notice how the subscript on a and coefficient on 3 add up to n)

or

\(a_n=1+3(n-1)=3n-2\)

Answer:

n=1/2 of n x 8 divided by 4 -2

Step-by-step explanation:

Answer:

The domain is all of the x coordinates so it is (-5, -2, 1, 3, 4)

Step-by-step explanation:

Answer:

1)  16.5 (nearest tenth)

2)  14.9 (nearest tenth)

3)  18.8 (nearest tenth)

Step-by-step explanation:

Formula for calculating BMI

\(\boxed {\sf BMI=\dfrac{10000 \times weight\:(kg)}{\left[height\:(cm)\right]^2}}\)

Where weight is measured in kg and height is measured in cm.

Given:

Substitute the given values into the formula to find Maria Jose's BMI:

\(\begin{aligned}\implies \sf BMI & = \sf \dfrac{10000 \times 20}{110^2}\\\\& = \sf \dfrac{200000}{12100}\\\\& = \sf 16.5\:(nearest\:tenth)\end{aligned}\)

Given:

Substitute the given values into the formula to find Freya's BMI:

\(\begin{aligned}\implies \sf BMI & = \sf \dfrac{10000 \times 30}{142^2}\\\\& = \sf \dfrac{300000}{20164}\\\\& = \sf 14.9\:(nearest\:tenth)\end{aligned}\)

Given:

Substitute the given values into the formula to find Sam's BMI:

\(\begin{aligned}\implies \sf BMI & = \sf \dfrac{10000 \times 50}{163^2}\\\\& = \sf \dfrac{500000}{26569}\\\\& = \sf 18.8\:(nearest\:tenth)\end{aligned}\)

Answer:

x = 4

Step-by-step explanation:

Use Pythagoras theorem

Answer:

-18

Step-by-step explanation:

((-3)2)3

First, you multiply -3 and 2 which equals  -6

-3·2=-6

Then, you multiply -6 and 3 which equals  -18

-6·3=-18

I think its C. It should be.

Answer:

C

Step-by-step explanation:

If you graph y=4x-8, you'll see that

1. The y-intercept is at -8 (where the line intersects the y-axis)

2. The rate of change (or slope) is 4 (for every 1 unit you move to the right, the line goes up 4 units)

The graph shown has a y-intercept at -6, and the slope is 10.

So the function shown on the graph has a greater rate of change (10 vs 8) and a higher y-intercept (-6 vs -8)

Answer:

36 green marbles

Step-by-step explanation:

If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:

Green marbles = 60% x 60 marbles

To simplify this calculation, we can convert 60% to a decimal by dividing by 100:

Green marbles = 0.60 x 60 marbles

Green marbles = 36 marbles

Therefore, Rudy received 36 green marbles.

Answer: 36

Step-by-step explanation:

60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36

Answer:

m = 2/3

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

slope is

\( m = \frac{rise}{run} = \frac{y 2 - y1}{x2 - x1} \)

(0,0) & (3,2)

\( m = \frac{2 - 0}{3 - 0} = \frac{2}{3} \)

Answer:

The man traveled 20km by train.

Step-by-step explanation:

If x is the distance he traveled by train, you can write this equation to represent the situation:

\(10+x+2x=70\)

Then, you can simply solve for x:

\(10+3x=70\\3x=60\\x=20\)

The man traveled 20km by train.

\(10+(20)+2(20)=70\\10+20+40=70\\70=70\)

The number of years it would take is approximately equal to 53 years.

In Mathematics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:

P(t) = I(1 + r)^t

Where:

By substituting given parameters, we have the following:

96627 = 11211(1 + 0.0418)^t

8.61894567835 = (1.0418)^t

By taking the ln of both sides, we have:

Time, t = ln(8.61894567835)/ln(1.0418)

Time, t = 52.60 ≈ 53 years.

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Answer:

(5.30.25)

Step-by-step explanation:

If you graph this equation, you can get this answer easily.

Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

Answer:

x=60

Step-by-step explanation:

1. Add all the 12's on the right side together = 48

2. then you add the 12 on the left side to the right side to make it = 60

3. X=60!

HOPE THIS HELPS

Answer:

x = 60

Step-by-step explanation:

12+12+12+12=12*4=48 48+12=60=x

the reason I added another 12 is because it said x minus 12

Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

You want the 60th term of the arithmetic (?) sequence given.

Formula

L = a + (n - 1)*d

Givens

L = ?

a =  8

d = 8

n = 60

Solution

L = 8 + (60 - 1)*8

L = 8 + 60*8 - 8

L = 480

Answer

The 60th term is 480

Answer:

Step by step explanation :

As we know

\(\:\bf\boxed{an\:=\:a\:+\:(n\:-\:1)\:d}\)

where,

an = the nth term in the sequence

n = the term

d = common difference

a = first term of the AP.

Here,

an = a60

n = 60

d = 16 - 8 = 8

a = 8

Now,

\(\:\mathsf{a60\:=\:8\:+\:(60\:-\:1)(8)}\)

=> \(\:\mathsf{a60\:=\:8\:+\:(59)(8)}\)

=> \(\:\mathsf{a60\:=\:8\:+\:472}\)

=> \(\:\bf{a60\:=\:480}\)

Therefore the 60th term of the AP is 480.

Answer:

9 squares

Step-by-step explanation:

Anne bought a piece of ribbon = 7 over 9 m long = 63 m²

she used = 3 over 18 m = 54 m²

left = 9 m²

maximum number of squares she could form of 1 m = 9