to solve the rational equation , how can the expression be rewritten using the least common denominator?

I can provide you with an explanation of contrapositives and help you understand how to match each statement with its contrapositive.

A contrapositive is a logical statement that is formed by negating and reversing the order of the original statement's hypothesis and conclusion.

If the original statement is "If P, then Q," the contrapositive would be "If not Q, then not P.

" Both the original statement and its contrapositive are logically equivalent.

For example, let's take the statement "If it rains, then I will use an umbrella.

" The contrapositive would be "If I do not use an umbrella, then it is not raining."

Please provide the statements you want to match,

and I will help you identify their contrapositives.

know more about  contrapositives here

https://brainly.com/question/12151500

#SPJ11

The probability of having the sums that would exceed 100 has been calculated to be 0.5

We have the set or the sample space as:{1 , 5 , 10 , 100) It is said that two numbers would be able to be gotten from the set that we have. Given that the total numbers are 4, we would have ⁴C₂ = 6

The two numbers would be gotten from the set of 4 numbers in 6 different ways.

We are to find the numbers which when we add them up would be able to give us a sum that is greater than 100 these values are (100, 1), (100, 5), (100, 10)

Hence three pairs out of the given six that we already have would be able to give us values that are more than 10. We would have to divide through such that 3 / 6 = 1 / 2 = 0.5

Hence the probability that their values when summed would have to be greater than 100 is 0.5

Read more on probability here:

https://brainly.com/question/24756209

#SPJ1

Answer:

28t-140y

step by step explanation:

\(\textsf{Hi Brainy User, I'm Here to Help you!}\)

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

\(\textsf{We're asked to expand the expression using the distributive property.}\)

\(\textsf{But we need to be familiar with it first. \quad This is what it states :}\)

\(\textsf{a(b+c)=ab+ac}\)

\(\textsf{Now we simplify. \quad 14(2t-10y)=14*2t-14*10y=28t-140y}\)

\(\textsf{\textbf{Answer: 28t-140y}}\)

\(\Large\overbrace{\underbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star\)

Answer:

25%

Step-by-step explanation:

we can use this formula to find percent of change:

(new value minus original value) divided by original value

(15 - 12) / 12 = 3/12 or 1/4, which is 25%

The percentage markup of the T-shirts =25%

The original cost of each T-shirt = $12

The cost it would be should at souvenir shop = $15

The markup prize = 15 – 12 = $3

The percentage of $3 of original cost of $12 =

3/12 × 100

= 300/12

= 25%

Therefore, the percentage markup of the T-shirts = 25%

Learn more about percentage here:

https://brainly.com/question/17880579

Answer:

It takes him 16.5 seconds for each Rubik Cube

Step-by-step explanation:

Divide 82.5 by 5.

In this study, weight loss would be the dependent variable, as it is being measured or observed as a result of the change in the independent variable, which is the calorie intake (1,300 calories/day).

The independent variable is the factor that is being manipulated or changed in the study, and the dependent variable is the factor that is being measured or observed as a result of that change.

Put simply, an independent variable is just what it sounds like it is. It's a separate factor that can't be affected by the others. One independent variable could be a person's age.

In research, the independent variable might be either (1) quantitative or (2) qualitative. Variables with numeric or scalar ranges are called quantitative. They can be thought of as numerical variables that provide answers to "how many?" or "how often?"

The three primary categories of research variables are the independent variable, the dependent variable, and the controlled variables. Take the case of an automobile driving along a variety of terrains.

Learn more about The Independent Variable here:

https://brainly.com/question/29430246

#SPJ4

The missing length of the triangle using Pythagoras theorem is; x = 3

Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle. The right angle triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

The formula to find the sides is;

hypotenuse² = opposite + adjacent²

We are given;

Hypotenuse = 5

Opposite = x

adjacent = 4

Thus;

5² = x² + 4²

x² = 5² - 4²

x² = 25 - 16

x = √9

x = 3

We conclude that it is the missing length of the triangle

Read more about Pythagoras Theorem at; https://brainly.com/question/231802

#SPJ1

Answer:

50%

Step-by-step explanation:

it is always 50%

the probability would not change even if you had 100 boys in a row

Answer:

599/12 or 46.58 as a decimal

Step-by-step explanation:

Answer:

46 5/12

Step-by-step explanation:

5/6*-1/2=-5/12

47-5/12=46 5/12

Answer:

2

Step-by-step explanation:

multiplying each number by 1/3 gives

1/3y+7/3= 3y-3

3y-1/3y=7/3+3

8/3y=16/3

y=16/3÷8/3

y=16/3×3/8

y=2

The solution of the equation 1/3(y+7)=3(y−1) will be ; y = 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the equation is 1/3(y+7)=3(y−1)

First, multiplying each number by 1/3 gives;

1/3y+7/3= 3y-3

3y-1/3y=7/3+3

8/3y=16/3

Cross multiplication;

y=16/3÷8/3

y=16/3×3/8

y=2

Therefore, the solution of the equation 1/3(y+7)=3(y−1) will be ; y = 2

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

The statement "If x = -10, then x² = 100" is false. When we square -10, we get 100, so the correct statement would be "If x = -10, then x² = 100."

The statement that is NOT true is:

If x = -10, then x² = 100.

The other three statements are all true:

If x² = 100, then x = 10.This is true because the square root of 100 is ±10, and when we take the square root, we consider the positive square root, which is 10.

If x = 10, then x² = 100. This is also true because when we square 10, we get 100.The statement x² = 100 if and only if x = 10 or x = -10 is true.

This statement is based on the fact that the square root of 100 is ±10, so when we square either 10 or -10, we get 100.

For such more questions on Square:

https://brainly.com/question/27307830

#SPJ11

The p-chart is used to monitor the proportion of defective items in a sample.

The upper and lower 3-sigma control chart limits for a defect rate, we need to use the p-chart formula.

The p-chart is used to monitor the proportion of defective items in a sample. Given a historical defect rate of 2.00% (0.02) and a sample size of 400, we can calculate the control limits.

The formula for the control limits is:

UCLp = p + 3 * sqrt((p * (1 - p)) / n)

LCLp = p - 3 * sqrt((p * (1 - p)) / n)

Substituting the values, we get:

UCLp = 0.02 + 3 * sqrt((0.02 * (1 - 0.02)) / 400) ≈ 0.0263

LCLp = 0.02 - 3 * sqrt((0.02 * (1 - 0.02)) / 400) ≈ 0.0137

The upper control limit (UCLp) is approximately 0.0263, and the lower control limit (LCLp) is approximately 0.0137.

Learn more about p-chart

brainly.com/question/31797771

#SPJ11

The probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is approximately 82.38%.

Assuming the sample of 30 Americans is representative of the population, we can calculate the sample proportion as the number of individuals in the sample who agree divided by the total sample size. Let's assume that the sample proportion is p'.

To calculate the probability of the proportion exceeding 35%, we need to find the z-score of the value 0.35 using the formula:

z = (p' - p) / √[p * (1 - p) / n]

where p is the population proportion (which we don't know), and n is the sample size (30 in this case). We can use p' as an estimate of p.

Once we find the z-score, we can use a standard normal distribution table or a calculator to find the probability that the z-score is greater than the value we calculated. This probability is the probability that the proportion of Americans who agree that climate change is an immediate threat to humanity exceeds 35%.

For example, if p' = 0.4, then the z-score is:

z = (0.4 - 0.35) /√ [0.35 * (1 - 0.35) / 30] = 1.03

Using a standard normal distribution table, we can find that the probability of a z-score being greater than 1.03 is approximately 0.8238, or about 82.38%.

To learn more about probability click on,

brainly.com/question/29035617

#SPJ4

Answer:

he didn't make 75% of the baskets he shot

Answer:

1. f = 45

2. z = 8.1

Step-by-step explanation:

2/5(45)=18

8.1/0.3= 27

Answer:

In the photo

Step-by-step explanation:

Simply multiply the numbers out of the brackets to the numbers in them, adhering to algebraic rules.

Answer:

the one above me is right expet for 2 of them purple and orange

Step-by-step explanation:

it was right on edge

Answer:

good luck :)

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Experimental was what actually happened.

Theoretical was what should happen in a perfect, equal world.

E: 6/6 = 1

T: 4/9

E-T= 1-4/9=5/9

Answer:

Yes, Chen earned a bonus for the journey.

Step-by-step explanation:

1 hour = 61 km

4.5 hrs = 61 * 4.5 = 274.5 km

Now,

96 litres = 274.5 km

1 litre = 274.5/96 km

1 litre = 2.859 = 2.9 km (approximately)

So, he drived more than 2.8 kilometers per litre of fuel.

Answer:

Yes

Step-by-step explanation:

Calculating distance travelled by Chen

Calculating distance covered per litre of fuel

Given that the sample size `n = 83`,

the population standard deviation `σ = 12` and the confidence level is `95%`.

The formula for finding the margin of error is as follows:`

Margin of error = (z)(standard error)`

Where `z` is the z-score and `standard error = (σ/√n)`.

The `standard error` represents the standard deviation of the sampling distribution of the mean.

Here, the formula becomes:`

Margin of error = z(σ/√n)`

The z-score corresponding to a `95%` confidence level is `1.96`.

Substitute the given values into the formula to obtain the margin of error:

`Margin of error = (1.96)(12/√83)`

Solve for the margin of error using a calculator.`

Margin of error = 2.3029` (rounded to four decimal places).

The margin of error for a `95%` confidence interval for μ is `2.303` (rounded to at least three decimal places).

Answer: `2.303`

To know more about confidence visit:

https://brainly.com/question/29048041

#SPJ11

Answer:

16+(-21+4) = -1

Step-by-step explanation:

16 added to .. is 16 + ..

the sum of -21 and 4 is (-21 + 4)

So we get 16+(-21+4), that equal -1

Answer:

A triangular prism has two bases and three lateral faces.

A triangular pyramid has one  base and three lateral faces.

Step-by-step explanation:

A triangular prism is a solid geometrical shape. The base is triangular in shape. There are two bases that are triangular. Other lateral faces are rectangular in shape. They are three in number.

A triangular pyramid is also a solid geometrical shape. The base is a polygon. The lateral faces are triangular in shape and are three in number. The lateral faces are congruent.

Answer:

So im to lazy to right the answer so just look above me so hows it going?

Step-by-step explanation:

To provide the final numerical answer, the exact values of f(x1), f(x2), f(x3), and f(x4) need to be calculated using a calculator or numerical approximation techniques.

To approximate the integral of the function f(x) = x · 2^x over the interval [0, 4], we can use the midpoint rule with four equal-width subintervals. The midpoint rule estimates the integral by evaluating the function at the midpoint of each subinterval and multiplying it by the width of the subinterval.

To apply the midpoint rule, we divide the interval [0, 4] into four equal-width subintervals. The width of each subinterval is (4-0)/4 = 1.

The midpoints of the subintervals are located at x = 0.5, 1.5, 2.5, and 3.5. Let's denote these midpoints as x1, x2, x3, and x4, respectively.

For each subinterval, we evaluate the function f(x) = x · 2^x at the corresponding midpoint and multiply it by the width of the subinterval:

I ≈ Δx [f(x1) + f(x2) + f(x3) + f(x4)]

Now, let's calculate the values of f(x) at each midpoint:

f(x1) = 0.5 · 2^(0.5) = 0.5 · sqrt(2)

f(x2) = 1.5 · 2^(1.5)

f(x3) = 2.5 · 2^(2.5)

f(x4) = 3.5 · 2^(3.5)

Finally, we substitute these values into the midpoint rule formula:

I ≈ 1 [f(x1) + f(x2) + f(x3) + f(x4)]

Replace the values of f(x) at each midpoint and simplify to find the approximate value of the integral.

Learn more about midpoint rule here:

brainly.com/question/30241651

#SPJ11

Thus, the 40% of the number is

answer:

2578

step-by-step explanation:

A=2(wl+hl+hw)=2·(47·19+6·19+6·47)=2578

good luck

hopefully this helps

have a nice day :)

The required integral is:\(∫0π​sinmπxsinnπxdx={0,,​m=nm=n​∫−ππ​sinnxsinnxdx={0,​m=n​\)

Given the integral:

∫0π​sinmπxsinnπxdx={0,,​m=nm=n

​∫−ππ​sinnxsinnxdx={0,​m=n

​We need to prove the integral equal to zero for all m and n.

For m ≠ n:

∫0π​sinmπxsinnπxdx

Now use trigonometric identity:

sinA sinB = (1/2)[cos(A-B)-cos(A+B)]

Substituting A= mπx and B = nπx, we have:

∫0π​sin(mπx)sin(nπx)dx= (1/2)

∫0π​cos[(m-n)πx]dx= 0

because cos[(m-n)πx] is an odd function and the limits of integration are symmetric about the origin.

For m = n: ∫-ππ​sinn2x dx

Here, we use the identity:

cos2x= 2cos^2 x -1

⇒cos^2 x= (1/2)(1+cos2x)

Substituting this value in the integral, we get:

∫-ππ​(1/2)(1-cos2x)n dx= (1/2)

∫-ππ​(1-cos2x)n dx

Expanding the binomial:

∫-ππ​1 - ncos2x + ... dx= π- n

∫-ππ​cos2x dx= π

if n is odd, and 0 if n is even.

Hence, the required integral is:∫0π​sinmπxsinnπxdx={0,,​m=nm=n​∫−ππ​sinnxsinnxdx={0,​m=n​.

Learn more about trigonometric identity visit:

brainly.com/question/12537661

#SPJ11

Answer:

39.95+(how many shirts times 19.95)

Step-by-step explanation:

Answer:

(2)

Step-by-step explanation:

To find the solution, we must find x in terms of everything else, so I will move everything to the left hand side besides x. Let me know if you don’t understand anything below! :)

Answer:

(2)  x =  a + (bc - bd)^2.

Step-by-step explanation:

√(x - a)/ b  + d = c

√(x - a)/ b  = c - d

√(x - a)   = bc - bd

Squaring both sides:

x - a =  (bc - bd)^2

x =  a + (bc - bd)^2