please hurry! solve this proof

Hi there! Hopefully this helps!

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

[tex]2e = 2[/tex]

Divide both sides by 2.

[tex]e = \frac{2}{2}[/tex]

Answer:

[tex] LCM = 70a^2b [/tex]

Step-by-step explanation:

The LCM of [tex] 10a^2, 35ab, 14b [/tex], is the smallest expression of which each of the algebraic expression in the given set is divisible by it.

To find the LCM, follow these steps:

Step 1: Express each of the algebraic expressions in as product of its factors

[tex] 10a^2 = 2*5*a^2 [/tex]

[tex] 35ab = 5*7*a*b [/tex]

[tex] 14b = 2*7*b [/tex]

Step 2: Find the product of  each factors with the highest power

[tex] LCM = 2*5*7*a^2*b [/tex]

[tex] LCM = 70a^2b [/tex]

Answer:

5,608

Step-by-step explanation:

The total monthly pay of Karen is given by the equation A = $ 5,608

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 total monthly pay of Karen be = A

Now , the equation will be

Let the annual pay of Karen be B = $ 67.3 K

1 K = 1000

The value of B = 67.3 x 1000

The value of B = $ 67300

So , annual pay of Karen B = $ 67300

Now , the monthly pay of Karen = annual pay of Karen / 12

Substituting the values in the equation , we get

The monthly pay of Karen A = $ 67300 / 12

The monthly pay of Karen A = $ 5,608.33

Rounding to the nearest dollar , we get

The monthly pay of Karen A = $ 5,608

Therefore , the value of A is $ 5,608

Hence ,

The total monthly pay of Karen is given by the equation A = $ 5,608

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer: x+y>5 or (x+y)-5

Step-by-step explanation:

There are two potential ways of writing five less than the sum of x and y. You can use an expression or an inequality.

Inequality

By using an inequality, we would use the less than sign because 5 is less than the sum of x and y.

5<x+y

We can also write it where the variables are on the left side, which is usually preferred.

x+y>5

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

Expression

For an expression, we would basically write an equation, but without the equals sign.

(x+y)-5

Since 5 is less than the sum of x and y, we would subtract 5 from x+y. We don't necessarily need to put parentheses around x+y since the order of operations tells us to add or subtract from left to right in order. It is still good to be specific, saying that it is the sum of x and y.

This question is incomplete, the complete question is;

A sample of size 86 will be drawn from a population with mean 90 and standard deviation 24. Use the TI-84 calculator Part 1 of 2

Find the probability that x will be more than 89. Round the answer to at least four decimal places. The probability that will be more than 89 is Part 2 of 2 Find the 60 percentile of x. Round the answer to two decimal places. The 60 percentile is

.

Answer:

part 1) the probability that x will be more than 89 is 0.6517

part 2) the 60 percentile of x is 90.65

Step-by-step explanation:

Given that;

u = 90, α = 24, n = 86

Part 1 says Find the probability that x will be more than 89

p ( x > 89 ) = p (( x - u)/α√n > (89-90)/24/√86 ))

= p ( z > - 0.39 ) = 1 - p (z ≤ - 0.39  )

from z table, 0.39 → 0.3483

= 1 - 0.3483 = 0.6517

∴ the probability that x will be more than 89 is 0.6517

part 2 says  Find the 60 percentile of x

p( Z < z ) = 0.60

now from the z-table, p(Z < 0.25 ) = 0.60

and we that  x = u + z(α/√n)

x = 90 + 0.25( 24 / √ 86

x = 90.64699 ≈ 90.65

∴  the 60 percentile of x is 90.65

Answer:

B. c= -c+2

Step-by-step explanation:

A. ...................

It has infinitely many solutions as the equation is correct for any value of c.

B. ...................

It has one solution only

C. ...................

It has no solution as this equation is incorrect

D. ...................

It has no solution as this equation is incorrect

Answer:

-18 if youre asking about simple subtraction

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

its like saying (-45)+27.

you have to add the 27 to 45 to get to 0 and them see how much you have left

Answer:

6

Step-by-step explanation:

(14-2^3)

PEMDAS

Parentheses first

We need to follow PEMDAS inside the parentheses

Since there are no parentheses in side the parentheses, we do expoents

14 - 8

Then subtract

6

The order matters.

You have to follow the order of operations

Answer:

6

Step-by-step explanation:

use PEMDAS - (parentheses - exponents) -- (multiplication - division) -- (addition - subtraction)

PE, MD, and AS are interchangeable within their pairs. that means you can do multiplication or division first, or addition after subtraction. however, you cannot do addition/subtraction before multiplication/division.

since the exponent is within the parentheses, solve it first

= (14 - 2³)

= (14 - 8)

= 6

Answer:

1.9 gallons of 80% and 5.7 gallons of 20%

Step-by-step explanation:

x gallons of 80% alcohol solution is mixed with y gallons of 20% alcohol to make 7.6 gallons of 35% alcohol solution.

Based on the given, we get two equations:

Let's substitute y with y = 7.6 - x:

Then we find the value of y:

So the answer is:

Answer:

1.9 gallons of the 80% solution.

5.7 gallons of the 20% solution,

Step-by-step explanation:

Let the volumes of the 80% and 20 % solutions be x  and y gallons.

Then:

x  +  y = 7.6.

Also, using amounts of pure alcohol:

0.8x + 0.2y = 7.6 * 0.35

0.8x + 0.2y = 2.66           Multiplying this equation by -5:

-4x - y = - 13.3                   Adding this to the first equation:

-3x = -5.7

= 1.9 gallons.

y = 7.6 - 1.9

=  5.7  gallons.

Answer:

$8.40 tip and $56 bill = $64.40 (including tip)

Step-by-step explanation:

15% of 56 is 56*0.15 = 8.4 tip

Answer:

The probability that a skid of 50 DVD players will contain at least 3 defective units is 0.9487.

Step-by-step explanation:

We are given that Avery and Bradly work at a large electronics manufacturer that produces DVD players. The defective rate on the assembly line has gone up 12% and a skid of 50 DVD players has been selected by the manager.

Let X = Number of defective units of DVD players

The above situation can be represented through the binomial distribution;

[tex]P(X = r) = \binom{n}{r}\times p^{2} \times (1-p)^{n-r}; x= 0,1,2,3,....[/tex]

where, n = number of samples (trials) taken = 50 DVD players

            r = number of success = at least 3 defective units

           p = probability of success which in our question is the probability

                 of defective rate, i.e; p = 12%

So, X ~ Binom(n = 50, p = 0.12)

Now, the probability that a skid of 50 DVD players will contain at least 3 defective units is given by = P(X [tex]\geq[/tex] 3)

P(X [tex]\geq[/tex] 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2)

= [tex]1 - [ \binom{50}{0}\times 0.12^{0} \times (1-0.12)^{50-0}]-[ \binom{50}{1}\times 0.12^{1} \times (1-0.12)^{50-1}]-[ \binom{50}{2}\times 0.12^{2} \times (1-0.12)^{50-2}][/tex]

= [tex]1 - [ 1 \times 1 \times 0.88^{50}]-[50 \times 0.12^{1} \times 0.88^{49}]-[ 1225 \times 0.12^{2} \times 0.88^{48}][/tex]

= 0.9487

Hence, the probability that a skid of 50 DVD players will contain at least 3 defective units is 0.9487.

Answer:

x < 2

Step-by-step explanation:

We are given the inequality:

[tex]6x < 12[/tex]

We want to solve for x. We must isolate x on one side of the inequality.

x is being multiplied by 6. The inverse of multiplication is division. Divide both sides of the inequality by 6.

[tex]6x/6 < 12/6[/tex]

[tex]x< 12/6[/tex]

[tex]x<2[/tex]

For the values of x where x<2, the inequality 6x < 12 is true.

Answer:

x = 19, y = 1

Step-by-step explanation:

f(x) = 5(x + 4) - 6

y = 5(x + 4) - 6

inverse function:

switch x and y

x = 5(y + 4) - 6

solve for y

x = 5y + 20 - 6

x = 5y + 14

x - 5y = 14

-5y = -x + 14

y = (-x + 14)/-5

y = 1/5x - 2.8

plug 19 in for x

y = 1/5(19) - 2.8

y = 3.8 - 2.8

y = 1

Answer:

19.8

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

When we find the values of questions like this, we have to remember to use "PEMDAS".

Because multiplication comes before addition, we have to multiply first.

(Since there are two multiplication parts in the question, we start off by the first one.)

When we multiply both parts, we'll get:

[tex](18)+(8)[/tex], which equals to 26.

So, your answer is 26.

Answer:

D. 36ft

Step-by-step explanation:

Answer:

the real answer is 24 :)

Step-by-step explanation:

Answer:

64,186,300

Step-by-step explanation:

Six-four million - 64 million.

One hundred eighty six thousand - 186,000

You won't have space for the zeros, so you remove them.

And last, three hundred - 300.

So, now combine all of the numbers.

Your answer is 64,180,300.

Hope it helps!

Answer:

2     : 3

Step-by-step explanation:

8 skirts : 12  jeans

Divide each side by 4

8/4  : 12/4

2     : 3

Answer: 8:12

Step-by-step explanation:

Answer:

That ratio : 21 : 5

21 : 5 -> (21/21) : (5/21)

5/21 = 0.2 by rounding by tenth

Step-by-step explanation:

Answer:

$1060

Step-by-step explanation:

as the average amount of DVD and digital camera is $925 so the television cost:

$1985-$925

=$1060

Answer:

Where is the plobem

Step-by-step explanation:

Follow me // i'm Followback you

Answer:

Step-by-step explanation:

Given the dataset 147, 154, 156, 161, 162,

Mean is the sum of the dataset divided by the total number of dataset.

a) Mean = [tex]\sum Xi/N[/tex]

[tex]\overline x = \dfrac{147+154+156+161+162}{5}\\ \\\overline x = \dfrac{780}{5}\\ \\\overline x= 156[/tex]

b) The formula for calculating the deviation from the mean for each value is expressed as [tex]Xi - \overline X[/tex] where;

Xi is value of each item

xbar is the mean = 156

Mean deviation of 147 = 147-156 = -9

Mean deviation of 154 = 154-156 = -2

Mean deviation of 156 = 156-156 = 0

Mean deviation of 161 = 161-156 = 5

Mean deviation of 162 = 162-156 = 6

c) Sum of the deviations [tex]\sum Xi - \overline X[/tex] = (-9-2+0+5+6)

[tex]\sum Xi - \overline X[/tex] = -11+11

[tex]\sum Xi - \overline X[/tex] = 0

Hence the sum of deviation from the mean is 0

Answer:

57,095,800 mi (= 5.71 x 10⁷ mi )

Step-by-step explanation:

given :

Distance from Mercury to Sun = 35,904,200 mi

Distance from Earth to Sun = 9.3x10⁷ = 93,000,000 mi

Distance between mercury and earth

= 93,000,000 - 35,904,200

= 57,095,800 mi

= 5.71 x 10⁷ mi (rounded to 3 sig. figures)

Answer:

A. −8 + 0 = -8

B. 1 × (−14) = -14

C. 19 ÷ 1 = 19

D. 0 × 104 = 0

E. −21 − 0 = 0

Step-by-step explanation:

Anything times or divided by 1 equals the other number that is not 1.

Example 1: 2,999 x 1 = 2,999

Example 2: 2,999 ÷ 1 = 2,999

Anythings times or divided by 0 is 0.

Example 1: 2,999 x 0 = 0

Example 2: 2,999 ÷ 0 = 0

Answer:

The square of a negative number is a positive number as 2 negatives cancel when multiplied.

In this case the negative sign stays as is because it is not affected by a square.

Answer:

-3/5

Step-by-step explanation:

To find slope we use the formula, slope = (y2-y1)/(x2-x1)

We let (3,5) be the first point so, x1 = 3 and y1 = 5

We let (8,2) be the second point so, x2 = 8 and y2 = 2

Now we plug it in the formula,

slope =  (2-5)/(8-3) = -3/5

Answer:

The dimensions of the park is 18yd by 18yd

Step-by-step explanation:

A square-shaped park has an area of 324 yd.

A square is composed of equal length dimensions so if the area is 324 yd² ,the dimensions or length if one side of the square will be the root of 324 yd².

Length= √324

Length= 18 yd

Dimensions of the park is 18 yd by 18 yd

The dimensions of the park is 18yd by 18yd

Given that,

Based on the above information, the calculation is as follows:

 [tex]Length= \sqrt 324[/tex]

= 18 yd

Therefore, Dimensions of the park is 18 yd by 18 yd

Learn more: https://brainly.com/question/1691136?referrer=searchResults

When there is a linear relationship is observed between the variables, we use  linear regression predict the relationship between them.

Also, we predict the values for dependent variable by modelling a linear model that best fits the data by drawing a line Y=a+bX, where X is the explanatory variable and Y is the dependent variable.

In other words: The line of best fit is a line through a scatter plot of data points that best describes the relationship between them.

That's why the  regression line referred to as the line of best fit.

Answer:

Hey there!

There aren't any options, but the correct answer would be 2 6/8, which simplifies to 2 3/4.

Let me know if this helps :)

22/8

8 goes into 22 twice:

8 x 2 = 16

22-16 = 6

22/8 = 2 6/8

6/8 can reduce to 3/4

22/8 = 2 3/4

Answer:

  2^7 × 5^5

Step-by-step explanation:

10 = 2×5, so your product is ...

  5^3 × 2^5 × (2×5)^2

  = 5^3 × 2^5 ×2^2 ×5^2

  = 2^7 × 5^5

_____

If you remember that the exponent tells you how many times the base is a factor of the product, you should have no trouble with this.

  5^3 × 2^5 × 10^2 = (5·5·5)(2·2·2·2·2)(2·5)(2·5) = 2^7 × 5^5