Eli’s runs 5/6 mile in 10 minutes

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Number of event/ Total outcome of sample space

Since there are 8 teachers in a school, the Total outcome = 8

If four of the teachers will be selected at random to lead a student field trip,

Probability of selecting first female teacher = 4/8 = 1/2

Probability of selecting 2nd female teacher = 4/8 = 1/2

Probability of selecting 3rd female teacher = 4/8 = 1/2

Probability that all of the teachers selected will be female = 1/2* 1/2* 1/2* 1/2

Probability that all of the teachers selected will be female = 1/16

Answer:How to find the domain of a function?

Write the problem. ...

Set the terms inside the radicand to be greater than or equal to 0. You cannot take the square root of a negative...

Isolate the variable. ...

State the domain correctly. ...

Find the domain of a function with a square root when there are multiple solutions. Let's say you're working with the...

Step-by-step explanation:

Answer:

98 - 24√3 is your answer dear.

Step-by-step explanation:

Let the length of broken part of the tree = 14 - x

For finding x

sin60° = √3/2 = x /14-x

14√3 - √3x = 2x

14√3 = 2x + √3x

14√3 = (2 + √3)x

x = 14√3/(2 + √3)x

after rationalisation

x = 24√3 - 84

substract it 14 - (24√3 - 84)

YOU'LL GET 98 - 24√3 WHICH IS YOUR ANSWER.

Answer: 3

Step-by-step explanation:

Answer: 110

Step-by-step explanation:

Answer:

2646/ 42= 63

Step-by-step explanation:

Yes you got it right

Answer:

x>50

Step-by-step explanation:

Answer:

x < 25

Step-by-step explanation:

Given

- 2x > - 50

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity

x < 25

Step-by-step explanation:

First we find the function

g

(

f

(

x

)

)

To do this we substitute the variable

x

in

g

(

x

)

for

f

(

x

)

:

∴

g

(

x

)

=

3

x

−

2

g

(

f

(

x

)

)

Answer:

80

Step-by-step explanation:

Answer:

Graph (0,4), graph (6,7) then connect in a straight line.

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

A nearby store sells a 20-pack of AA batteries for $12.49. Therefore, the cost of 1 pack will be:

= $12.49 / 20

= $0.6245

The store also sells a 12-pack of the same batteries for $7.20. The cost per pack will be:

= $7.20 / 12

= $0.6

Therefore, it will be less expensive for Mr. Franklin to purchase the batteries in 12 packs.

The difference between the costs of one battery from each pack will be:

= $0.6245 - $0.60

= $0.0245

Answer:

$0.0245

Step-by-step explanation:

Answer:

x = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 1

f(x) = -7

Step 2: Solve for x

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

it has 2 solutions, 0 and 11

Answer:

4 adults tickets and 3 youth

Step-by-step explanation:

Trust me bro

Answer:            The lines are perpendicular.

To solve, we can find the slope of each line and compare them to the qualities of parallel and perpendicular lines.

The lines run in the same direction and can never meet. If the lines are parallel, they would have the same slope.

The lines meet at 90°. If the lines are perpendicular, the slopes would be negative reciprocals of each other.

Use the slope formula. Slope is represented by the letter m.

[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]

On a graph, we write points as (x, y). To use the formula, we need two points on each line. The question already shows what points we can use.

The points are (2, -7) and (6, 5). The variables can be:

x₁ = 2

y₁ = -7

x₂ = 6

y₂ = 5

Substitute into the slope formula and solve for slope.

[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]

[tex]\displaystyle{ m=\frac{5--7}{6-2} }[/tex]        Simplify the numerator.

[tex]\displaystyle{ m=\frac{5+7}{6-2} }[/tex]           Simplify the numerator and denominators.

[tex]\displaystyle{ m=\frac{12}{4} }[/tex]               Divide.

[tex]\displaystyle{ m=3 }[/tex]                 Solved for slope of blue line.

The points are (-1, 5) and (8, 2). The variables can be:

x₁ = -1

y₁ = 5

x₂ = 8

y₂ = 2

Substitute into the slope formula and solve for slope.

[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]

[tex]\displaystyle{ m=\frac{2-5}{8--1} }[/tex]        Simplify the denominator.

[tex]\displaystyle{ m=\frac{2-5}{8+1} }[/tex]           Simplify the numerator and denominators.

[tex]\displaystyle{ m=\frac{-3}{9} }[/tex]              Simplify the fraction.

[tex]\displaystyle{ m=-\frac{1}{3} }[/tex]              Solved for slope of green line.

The slopes are:

We know the slopes are not the same, so the lines are not parallel.

However, the slopes are negative reciprocals of each other. The fraction is flipped and the negatives are different.

If we multiply the slopes together, we would get –1:

[tex]\displaystyle{-\frac{1}{3}*\frac{3}{1}=-1}[/tex]

∴ The lines are perpendicular.

Learn more about parallel and perpendicular lines here: https://brainly.com/question/12469044

Answer:

square root 100

3 square root of 16

Answer:

72.8

Step-by-step explanation:

Answer:

20.72 is the answer because.260×28= 7.28

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y + 4 = - [tex]\frac{1}{2}[/tex] (x - 2) ← distribute

y + 4 = - [tex]\frac{1}{2}[/tex] x + 1 ( subtract 4 from both sides )

y = - [tex]\frac{1}{2}[/tex] x - 3 ← in slope- intercept form

Answer:

96

Step-by-step explanation:

you have to find the answer to 8t by the power of 2 multiplied witch is 64 + 32t = 96

Answer:

y=1/2x-3

is the slope intercept form

Step-by-step explanation:

Hope this helps :) Have a great day!!!

Answer:

you should draw that couse i experience like that to

maybe can help

Answer:

Ok, lemme say something.

4.5 shoes are for 9 inch feet.

Dont think a 6 foot person is gonna fit tbh.

Step-by-step explanation:

A shoe size is for relation to feet size. Your feet grow from your height too, along with weight. If you are 6 feet, your feet are gonna be more than at least 1 foot.

4.5 shoes are for 9 inch feet

1 foot = 12 inches.

12 > 9.

12-9=3.

Answer:

an endourologist

Step-by-step explanation:

just took the review

Answer:

a

Step-by-step explanation:

Answer:

^eksponensial^

my answer lies in paper

Answer:

You can find the answer in the graph below.

Step-by-step explanation:

3y - 2x = 3

x- int = (-1.5,0)

y-int = (0,1)

slope = 2/3x

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

y=5 and 3y - 2x = 3  intersection is on (6,5)

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

y=5 : y-int : (0,5)

The slope of the given line is 2/3 and the y-intercept of the given line is (0, 1). The coordinate of the intersection of two lines is (6, 5).

The equation of the line is 3y-2x=3.

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

The slope intercept form of the given equation is

3y=2x+3

y=2/3 x+1

Here, the slope of a line = 2/3 and the y-intercept of a line = (0, 1).

The graph of the line y=5, is attached below.

From the graph, the coordinate of the intersection is (6, 5).

Therefore, the slope of the given line is 2/3 and the y-intercept of the given line is (0, 1). The coordinate of the intersection of two lines is (6, 5).

To learn more about the y-intercept visit:

brainly.com/question/14180189.

#SPJ6

Answer:

x =16

Step-by-step explanation:

-x+4=-12

 -4    -4

-x=-16

/-    /-

x=16

Answer:

x=16

Step-by-step explanation:

-x+4=-12

Subtract 4 from -12 ( -16 )

Divide

-x/-16 ( 16 )

x=16

The total amount of sales made by the associate last year is $124,000.

The term percent means "out of every hundred" or "per hundred."

Now, as per the given question;

Let the total sales done by the associate in last year is 'x'.

The commission earned on the total sales is 9.5%

Thus, 9.5% of x can be written as;

= (9.5×x)/100

The total earning from the sales is $11,875.

Thus,

(9.5×x)/100 = 11,875

Simplify the equation to find x.

x = (11,875×100)/9.5

x = 125,000

Therefore, the total sales done by the commissioner in last year was $125,000.

To know more about the percentages, here

https://brainly.com/question/24304697

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Answer:

The expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0

Step-by-step explanation:

The question would be better answered if you gave option. Since there is no option, I'll answer the question generally.

Given

[tex]P(a) = 0[/tex]

The above expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0

Take for instance, the polynomial is:

[tex]P(x) = x^2 - x - 2[/tex]

And the divisor is x - 2, then P(2) = 0 because (x - 2) is a divisor of the equation.

[tex]\frac{P(x)}{x} =\frac{x^2 - x - 2}{x - 2}[/tex]

Factorize the numerator

[tex]\frac{P(x)}{x} =\frac{(x- 2)(x + 1)}{x - 2}[/tex]

[tex]\frac{P(x)}{x} =x + 1}[/tex]

See that x - 2 is a divisor

To check

Set x - 2 to 0

[tex]x -2 = 0[/tex]

[tex]x = 2[/tex]

So, we have:

[tex]P(x) = x^2 - x - 2[/tex]

[tex]P(2) = 2^2 - 2 - 2[/tex]

[tex]P(2) = 4 - 2 - 2[/tex]

[tex]P(2) = 0[/tex]