MATHEMATICS
HIGH SCHOOL

Answer:

He drifts downstream at the river's speed, 7 mph. He has a 3 mph component across the river.

His direction with respect to the heading angle (straight across) is

tan^-1 7/3 = 66.8 degrees (towards downstream)

hope this helps :)

MIDDLE SCHOOL

A pitcher had 3 1⁄2 liters of water left. There were 7 people who wanted water. How much water did each person get?

Answer:

3½÷7=½ liters

Step-by-step explanation:

Change 3½ into a improper fraction.

3½=7/2

7/2÷7=

keep change flip

7/2×1/7=½

500 millilitres each because 3.5 litres divided by 7 people = 0.5 litres (500mL)

COLLEGE

Martin randomly selects 3 days of the week to work at his uncle's farm. What is the probability he selects Monday, Tuesday, and Friday in any order?

A week has 7 days. That is, number of total days, n = 7

Number of Mondays in a week = 1

Number of Tuesdays in a week = 1

Number of Fridays in a week = 1

This is a case of selecting without replacement in that order.

P(Monday) = 1/7

P(Tuesday) = 1/(n-1) =1/(7-1) = 1/6

P(Friday) = 1/(n-2) = 1/(7-2) = 1/5

P(Monday, Tuesday, and Friday) = (1/7)*(1/6)*(1/5) = 1/210

Number of Mondays in a week = 1

Number of Tuesdays in a week = 1

Number of Fridays in a week = 1

This is a case of selecting without replacement in that order.

P(Monday) = 1/7

P(Tuesday) = 1/(n-1) =1/(7-1) = 1/6

P(Friday) = 1/(n-2) = 1/(7-2) = 1/5

P(Monday, Tuesday, and Friday) = (1/7)*(1/6)*(1/5) = 1/210

MIDDLE SCHOOL

Please help me out!!!!!!! 54 points! 1) Factor the expression.

x^2+4x-5

2) Find the zeros of the quadratic equation by factoring.

x^2+4x-5=0

3) Factor the expression.

x^2+2x-48

4) Find the zeros of the quadratic equation by factoring.

x^2+2x-48=0

5) Factor the expression.

3x^2-14x-24

6) Find the zeros of the quadratic equation by factoring.

3x^2-14x-24=0

7) Factor the expression.

x^2+6x+9

8) Find the zeros of the quadratic equation by factoring.

x^2+6x+9=0

9) Factor the expression.

x^2-25

10) Find the zeros of the quadratic equation by factoring.

x^2-25=0

Answer:

1. (x+5)(x-1)

6. (3x+4)(x-6)

9. (x+5)(x-5)

Step-by-step explanation:

To factor an equation, break the polynomial into two binomials which multiply to make it. There are three main ways to factor:

Regular: Find two numbers that multiply to C and add to B from .

Grouping: Find two numbers that multiply to A*C and add to B. Then split B into the two factors and factor by GCF.

Difference of Squares: Factor by taking the square root of each term.

COLLEGE

Serial numbers for a product are to be made using 2 letters followed by 3 numbers. If the letters are to be taken from the first 6 letters of the alphabet with no repeats and the numbers are taken from the digits 0 through 9 with repeats possible, how many serial numbers can be generated?

2 Letters chosen among 6 with no repeat:

a) the first has 6 ways

the second has 5 ways

Then to choose 2 letters among 6, with no repeat, there are 6x5 = 30 ways

b) 3 numbers are taken from the digits 0 through 9 with repeats (total = 10)

the first has 10 ways

the second has 10 ways

the third has 10 ways

Then to choose 3 numbers among 10, with repeat, there are 10x10x10= 1000 ways

And the total serial numbers that can be generated is

30 x 1000 = 3000

a) the first has 6 ways

the second has 5 ways

Then to choose 2 letters among 6, with no repeat, there are 6x5 = 30 ways

b) 3 numbers are taken from the digits 0 through 9 with repeats (total = 10)

the first has 10 ways

the second has 10 ways

the third has 10 ways

Then to choose 3 numbers among 10, with repeat, there are 10x10x10= 1000 ways

And the total serial numbers that can be generated is

30 x 1000 = 3000

MIDDLE SCHOOL

How do you solve -4x>20

Answer:

x20

x>20/-4

x>-5

x

MIDDLE SCHOOL

Solve: -6____=-8 ; what goes on the blank spot?

There are at least two different things that could go in

the blank spot and make the equation a true statement.

It could be " - 2 " .

It could be " · 4/3 " .

It could be " + 2 cos(π) "

etc.

the blank spot and make the equation a true statement.

It could be " - 2 " .

It could be " · 4/3 " .

It could be " + 2 cos(π) "

etc.

HIGH SCHOOL

Which values of x are the solutions to the equation, 4x^2-30=34

The values of x in the equation 4x² - 30 = 34 is x = { -4 , 4 }

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be = A

The value of equation A is

4x² - 30 = 34

On simplifying the equation , we get

Adding 30 on both sides of the equation , we get

4x² = 64

Divide by 4 on both sides of the equation , we get

x² = 16

Taking square roots on both sides of the equation , we get

x = ± 4

Therefore , the value of x is x = -4 or x = + 4

Hence , The values of x in the equation 4x² - 30 = 34 is x = { -4 , 4 }

To learn more about equations click :

brainly.com/question/10413253

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I hope this helps you

4x^2=64

x^2=16

x=+4

x= -4

4x^2=64

x^2=16

x=+4

x= -4

MIDDLE SCHOOL

Summarize the motion of particles in solids liquid and gases

1.IN SOLIDS THERES NO SPACE FOR PARTICLES TO MOVE AROUND

2.LIQUID THERES A LITTLE BIT OF SPACE TO MOVE FREELY

3. GAS HAS ALL SPACES TO MOVE AROUND SINCE ITS NOT PUT TOGETHER

HOPE THIS ANSWER HELPED ALOT

2.LIQUID THERES A LITTLE BIT OF SPACE TO MOVE FREELY

3. GAS HAS ALL SPACES TO MOVE AROUND SINCE ITS NOT PUT TOGETHER

HOPE THIS ANSWER HELPED ALOT

MIDDLE SCHOOL

6 pie = x + 2y how do i solve this equation ?

28.27431 = x + 2

-2 -2

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

x = 26.27431 Answered

the pie is 3.14159 x 9 =28.27431

-2 -2

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

x = 26.27431 Answered

the pie is 3.14159 x 9 =28.27431