Simplify by reducing the index of th
21/ 15
√X

Answer: 3x10^-3

Step-by-step explanation:

The answer is 3/1000 which is 3x10^-3

Answer:

a) if x = 2, y = -1

b) y = 5

Step-by-step explanation:

12x - 4y = -20 Let's substitute x = 2

12(-2) - 4y = -20 Multiply

-24 - 4y = -20 Add 24 to each side

-4y = 4 Multiply each side by -1

4y = -4 Divide by 4

y = -1

now to solve for y in general:

12x - 4y = -20 Subtract 12x

-4y = -20 - 12x Divide by -4

y = 5 + 3x Sub 0

y = 5 + 3(0)

y = 5

The equation of the line containing the points ​(​-2,8) and (4,-1) is:

y = -3x/2 + 5

Given data

points ​(​-2,8) and (4,-1)

From the equation of the straight line y = mx + c

The slope of the line m is solved by

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( -1 - 8 ) / ( 4 - -2 )

m = (-9 ) / ( 6 )

m = -3/2

using the point ( 4, -1 ) we find the intercept as

y = mx + c

-1 = -3/2 * 4 + c

-1 = -3 * 2 + c

-1 = -6 + c

-1 + 6 = c

c = 5

Substituting the values of m = -3/2 and c = 5 to the equation y = mx + c gives the equation of the line. This is done as follows

y = mx + c

y = -3/2 * x + 5

y = -3x/2 + 5

Read more on equation of straight line here: https://brainly.com/question/18831322

#SPJ1

Answer:

The answer is 6 1/5 feet in width.

Step-by-step explanation:

Since the formula for area is wl or width x length, we can utilize our reversive property to find our width by dividing the Area we are given by our length, giving us the missing width in return. Dividing 46.5 square feet by 7.5 feet gives us 6.2 feet, or 6 1/5 feet.

Best of luck with whatever this is for!~

The probability that a randomly selected tire will have a depth less than 0.31mm is 0.03.

From the information, the tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.99mm and a standard deviation of 0.35mm.

The probability that a randomly selected tire will have a depth less than 0.31mm will be:

P(X < 0.31) = P[(Z < (0.31 - 0.99)/0.35]

= P(Z < -1.943)

= 0.025

= 0.03

The probability that a randomly selected tire will have a depth less than 0.31mm is 0.03.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

If Angela uses this schedule for 4 weeks, she will have practiced for 34.08 hours in total

The given parameters are:

Monday = 1.4 hours

Tuesday = 2.12 hour

Saturday = 5 hours

Weeks = 4

The total number of hours in a week is

Week = Monday + Tuesday + Saturday

This gives

Week = 1.4 + 2.12 + 5

Evaluate

Week = 8.52

Her plan is for 4 weeks.

So, we have

Total = 8.52 * 4

Evaluate

Total = 34.08

Hence, if Angela uses this schedule for 4 weeks, she will have practiced for 34.08 hours in total

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

The equation of the array is 2 × 8 = 16 . And the Dan uses 16 quilt squares.

An array is a collection of elements of the same type placed in contiguous memory locations that can be individually referenced by using an index to a unique identifier.

It is given that Kali arranges quilt squares in 2 rows with 8 squares in each row. And, Dan arranges quilt squares in 8 rows with 2 squares in each row.

Row = 'R'

Column = 'C'

Kali's Array :-

▢ ▢ ▢ ▢ ▢ ▢ ▢ ▢

▢ ▢ ▢ ▢ ▢ ▢ ▢ ▢

Equation :

2R × 8C = 16

Dan's Array :-

▢ ▢

▢ ▢

▢ ▢

▢ ▢

▢ ▢

▢ ▢

▢ ▢

▢ ▢

Equation :

8R × 2C = 16

Therefore, Dan uses 16 quilt squares.

To learn more about Quilt Squares visit :

https://brainly.com/question/1151559

#SPJ1

Based on the amount that the individual is paying monthly, the total amount that will be paid over the full term of the loan is $150,900

The amount that the individual will pay in total over the loan's full term can be found to be:

= Amount paid per month x Number of years x number of months per year

Solving gives:

= 503 x 25 x 12

= 503 x 300

= $150,900

In conclusion the total amount paid is $150,900.

The rest of the question is:

What is the total amount paid over the full term of the​ loan?

Find out more on loan repayments at https://brainly.com/question/25599836

#SPJ1

Given the piece-wise function, the output value of f(7) is 42.

A piece-wise function is simply a function built from pieces of different functions over different intervals

Given the piecewise function in the question;

                   x² - x,       x > 5      

                   2/(x-6),    x ≤ 5

To determine the output value of f(7), determine where 7 falls in the given domains of the pieces of the function.

7 falls in the domain of x > 5

Hence,

f(x) = x² - x

Relace all the occurrence of x with 7 and simplify

f(7) = (7)² - 7

f(7) = 49 - 7

f(7) = 42

Given the piece-wise function, the output value of f(7) is 42.

Learn more about piece-wise function here: https://brainly.com/question/16984860

#SPJ1

The midpoint of a line segment whose end points are (x1, y1) and (x2, y2) has the coordinates (x1+x2)/2; its length is (y1+y2)/2 (-2,5)

Describe a line segment.

A line segment in geometry is a section of a straight line that is enclosed by two clearly defined end points and contains all of the points on the line that lie inside those endpoints. The Euclidean distance between two ends of a line segment determines its length.

in accordance with the stated fact;

(x₁+x₂/2 ;y₁+y₂/2)

(5-9)/2 ;(3+7)/2)

(-2,5)

to know more about line segment visit;

https://brainly.com/question/1410486

#SPJ9

Answer:

3x

Step-by-step explanation:

because y= 3x

Answer:

Number 1

Step-by-step explanation:

Answer:

18/24 = 3/4 (3/4 is the answer when simplified already)

Hope this helps :)

Explanation below.

Step-by-step explanation:

1. Use the Keep, Change, Flip (KCF) method.

- 2/3 ÷ (- 8/9)

K C F

2. Solve by multiplying numerator and denominator.

- 2/3 × (- 9/8)

= 18/24

3. Simplify if needed by dividing the numerator and denominator by 6.

18/24 = 3/4

Answer:

C. 6.39

its right behind 6.4, therefore it's 6.39.

The algebraic expression for a number multiplied by 37 is 37 x M.

Given,

A number multiplied by 37.

We need to write it in an algebraic expression.

The commonly used algebraic expressions are:

Multiplication = x

Sum = Addition = +

Subtraction = -

Division = ÷

Example:

Sum of A and B: A + B

Find the algebraic expression.

We have,

A number multiplied by 37.

Let the number be M.

Multiplied means x.

= 37 x M

Thus the algebraic expression for a number multiplied by 37 is 37 x M.

Learn more about algebraic expression here:

https://brainly.com/question/953809

#SPJ1

The value of the expression is D. 1/8.

The expression is to solve Two to the fourth divided by two to the seventh.

This will be:

= 2⁴ / 2^7

= 16 / 128

= 1/8

Therefore, the correct option is D.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer:

1 hour and 30 minutes

Step-by-step explanation:

I think this because it said his top speed was 20,000 and he flew 30,000 if you add another 20,000 to the 20,000 he flew in 30,000 you would get 40,000 which is 2 hours so 1 hour and 30 min. Hope it Helped!

Answer: 5

Step-by-step explanation:

4^2 + 3^2= c^2

16+9=c^2

25=c^2

sqrt both sides

c=5

Given numbers in the form of the decimal number are:

Decimal numbers:

Therefore, given numbers in the decimal numbers form are:

Know more about decimal numbers here:

https://brainly.com/question/703656

#SPJ9

The measurement of the angle indicated for each trapezoid is m<B equal to 70.

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs.

Given :

In the trapezoid angle

m<B=11x+15

m<C=19x+15

According to the question,

The trapezoid is a quadrilateral.

The 4 angles of a quadrilateral all equal to 360 degrees.

The angles between parallel lines add up to 180degree due to adjacent angle.

So,

The equation is

m<B+m<C=180

11x+15+19x+15=180

30x+30=180

Subtract 30 from both sides we get,

30x=150

Divide by 30 on both sides we get,

x=5

∴m<B=11x+15=11*5+15

m<B=70

m<C=19x+15=19*5+15

m<C=110

Therefore, the measurement of the angle indicated for each trapezoid is m<B equal to 70.

Learn more details about trapezoid shape here:

https://brainly.com/question/15135906

#SPJ1

Hey there!

(4y + 9z)

= 4y + 9z

= 4(5) + 9(4)

= 20 + 36

= 56

Therefore, your answer should be: 56

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

There is a no change in the saving account balance because Amount after withdrawing = Amount before deposit the money.

According to the statement

We have to find that the changes in the Samuel’s savings account balance.

So, For this purpose, we know that the

Deposit amount is an amount of money paid into an account.

From the given information:

Samuel has $80 in his savings account before he makes a deposit of $100. After 2 weeks, he withdraws $100.

Then

Amount before deposit the money = $80

Amount deposited = $100

Then

Total amount after deposited = $100+80

Total amount after deposited = $180

Then

Amount After withdrawing = $180 - 100

Amount after withdrawing = $80

Then

We see that the

Amount after withdrawing = Amount before deposit the money

It means there is a no change in the saving account balance.

So, There is a no change in the saving account balance because Amount after withdrawing = Amount before deposit the money.

Learn more about Deposited amount here

https://brainly.com/question/1752098

#SPJ1

9 and 10are two integers is √85 between.

The number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer denoted by a minus sign (1, 2, 3, etc.) are all examples of integers. The equivalent positive numbers' additive inverses are the negative numbers. The boldface Z or blackboard bold symbol is a common way to represent the set of integers in mathematical expressions.

The set of all natural numbers, N, is a subset of the set of all rational numbers, Z, which is a subset of the set of all real numbers, R.

Z is a countably infinite number, much like the natural numbers. A real number that may be expressed without a fractional component is said to be an b.

According to the given statement;

the two perfect squares that are close to 85 is 9 and 10.

To know more about Integers, visit;

https://brainly.com/question/1768254

#SPJ9

8000 is the population of village in 1970.

Given that:

The linear equation of the population, P, of a village t years after it was founded in 1970, is given by

P(t) = 8000 + 600t.

To find:

What is the population in 1970 ?

So, according the question

We have,

The population of a village after t years from 1970 in a form of linear equation is,

 P(t) = 8000 + 600t.

This linear equation was founded in 1970, so t years will be counted after 1970. If we need to find the population of a village in 1971, we can use t = 1971 - 1970, which is one year. But here we have to find the population of a village in 1970, so the value of time is 0.

Now, putting the value of t.

We will be get,

 P(t) = 8000 + 600t.

 P(0) = 8000 + 600 × 0.

 P = 8000

So, the population of a village in 1970 is 8000.

To learn more about linear equation, please click on the link;

https://brainly.com/question/12974594

#SPJ1

Answer:

1/6

Step-by-step explanation:

I dunno, I put this into a calculator and that's the answer it gave me.

Your response's numerical variable is x=-13.

Variable, A symbol (often a letter) used in algebra to represent an unknowable numerical value in an equation. X and Y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s are examples of frequently used variables (arc length).

Mathematical expressions are used to represent situations or problems in algebra, a branch of mathematics. We use integers with fixed or definite values in algebra, such 2, 7, 0.068, etc. In algebra, we mix variables like x, y, and z with numbers.

accordance with the data provided;

the equation is 9+x=-4

x+9=-4

(x+9)+(-9)=-4+(-9)

x+9-9=-4-9

x=-13

to know more about algebra visit

https://brainly.com/question/14214330

#SPJ9

The coordinates are (-4,3).

Glad to help.

Mark me Brainliest. :)

The shifted point G when translated to left 4 units and up 3 units has coordinate ( -8, 6).

Rotation, translation, Reflection, and Dilation are the four types of translation.

Assuming the square boxes of the paper graph are 1 sq unit means each side is 1 unit.

Now by counting we can conclude that before shifting the point has an x coordinate of - 4 units and a y coordinate of 3 units.

∴ The coordinates of the points are (-4, 3).

Now it has been shifted left 4 units and up 3 units, We know going towards left is negative on the x coordinate and going towards up is positive on the y coordinate.

So, points after the translation is (-4 -4, 3+3) = (-8,6)

learn more about translation here :

https://brainly.com/question/17485121

#SPJ5

24 pounds  of coffee worth $10 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth $5 a pound.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given situation:

A coffee $10 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth $5 a pound

Now, Let x be the amount of coffee which is $10 per pound

So,

10x + 3(30) = 5(x+30)

10x + 30 = 5x+150

5x + 30 = 150

5x = 120

x = 24 pounds

Hence, 24 pounds  of coffee worth $10 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth $5 a pound.

Learn more about Algebra here:

https://brainly.com/question/13715639

#SPJ1

Mr. Alfonso will save $3 if he orders the shrimps from shrimpies.

Now, for the given question;

The cost of 3 pounds of shrimp at Earl's shrimp hut = $38.25.

3 pounds   ---------> $38.25

Divide both sides by 3.

1 pound ------------>$12.75

Multiply 12 on both side;

12 pounds -------------> $153.

The cost of 4 pounds of shrimp at shrimpie's for 50.00.

4 pounds   ---------> $50.00.

Divide both sides by 4.

1 pound ------------>$12.5

Multiply 12 on both side;

12 pounds -------------> $150.

Cost difference  =  Earl's shrimp hut - shrimpie

Cost difference  = $153 - $150 = $3.

Therefore, Mr. Alfonso will save $3 from the purchase of 12 pounds of shrimp from shrimpies.

To know more about the unitary method, here

https://brainly.com/question/917963

#SPJ9

Answer: a=15/8

Step-by-step explanation:

a^2 = 225/64 ​

a=[tex]\frac{\sqrt{225}}{\sqrt{64}}[/tex]

a=15/8

Answer:

1.875 or 15/8

Step-by-step explanation:

a= square root of 224/64

=sqrt(225)/sqrt(64)

=15/8