Write the following in scientific notation- 27,140,000,000 0.00000561 72.5•10^9​

Answer: Hii <3

11/10 is your answer i believe

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

hopefully this helps you !

- Matthew ~

Answer:

The value of x = 11/10 or 1.1

Step-by-step explanation:

5x+3/-2 =4

=> 5x -3/2 = 4

=> 5x = 4 + 3/2

=> 5x = (8+3)/2

=> 5x = 11/2

=> x = 11/10 or 1.1

Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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Answer:

60

Step-by-step explanation:

Let the original number be x.

According to the question we can write as (2/3)x+20x

On rearranging x−(2/3)x=20

Now taking the L.C.M od 1 and 3 is 3

(3x−2x)/3=20

x/3=20

Again by transposing x=60

So the original number is 60

Answer:

60

Step-by-step explanation:

Let the number be x

2/3 x = x -20

20 =x -2/3x

1/3 x =20

60 = x.

Answer:

Step-by-step explanation:

-n + 8 = -2

-n = -10

n = 10

Answer: n=10

Step-by-step explanation:

-2=-(n-8)

-2=-n+8

-8       -8

-10=-n

n=10

Answer:

4/3

Step-by-step explanation:

Answer:

see attached pdf

Step-by-step explanation:

see attached pdf

Answer:

The range is 12, 0, -6

Explanation:

Given the function:

f(x) = 4 - 2x

We want to find the range of this function, given that the domain is:

-4, 0, 5

This can be done by replacing x by each element ot the domain in the given function, find f(x).

For element -4

f(-4) = 4 - 2(-4)

= 4 + 8

= 12

For element 0

f(0) = 4 - 2(0)

= 4 - 0

= 0

For element 5

f(5) = 4 - 2(5)

= 4 - 10

= -6

The range is 12, 0, -6

This can be found by dividing the circumference by 2π to get the radius, and then rounding to the nearest hundredth. So, r = C/2π = 27.5/2π = 4.38 in. Rounded to the nearest hundredth, this is 13.75 in.

The answer to the first question is 47.1 in, which is the approximate circumference of a circle with a diameter of 15 inches. To find the circumference of a circle, you can use the formula C = πd, where d is the diameter and π is approximately 3.14. So in this case, C = 3.14 x 15 = 47.1 inches for the second question, the approximate circumference of the clock is 72.22 cm. Again, using the formula C = πd, where d is twice the radius, we get C = 2πr = 2 x 3.14 x 11.5 = 72.22 cm.

The answer to the third question is 7 ft, which is the radius of a circle with an approximate circumference of 43.96 feet. To find the radius, you can use the formula C = 2πr and solve for r. So, r = C/2π = 43.96/(2 x 3.14) = 7 ft. finally, for the fourth question, the approximate distance from any point on the soccer ball's surface to its center is 13.75 in.

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Answer:

x = 19

y = 16

Step-by-step explanation:

10x - 9y = 46

-2x + 3y = 10

Time the second equation by 5

10x - 9y = 46

-10x + 15y = 50

6y = 96

y = 16

Now put in 16 for y and solve for x

10x - 9(16) = 46

10x - 144 = 46

10x = 190

x = 19

The fractions of the hole above that are the standard 4 patterns blocks are as follows:Standard pattern block hexagon: 1/1 or 1Trapezoid: 0/1 or 0Parallelogram: 0/1 or 0Rhombus: 0/1 or 0

To find the fractions of the hole above that are the standard 4 patterns blocks, we need to analyze the given figures. The figures are as follows:

Figure 1: The standard pattern block hexagon

Figure 2: A trapezoid

Figure 3: A parallelogram

Figure 4: A rhombus

Now, we need to identify which of these figures fit into the given hole. Looking at the hole, we can see that it is in the shape of a hexagon. Therefore, the only pattern block that can fit into this hole is the standard pattern block hexagon. Hence, the fraction of the hole above that is the standard pattern block hexagon is 1/1 or simply 1. No other pattern blocks fit into the given hole. Therefore, the fractions of the hole above that are the standard 4 patterns blocks are as follows:

Standard pattern block hexagon: 1/1 or 1

Trapezoid: 0/1 or 0

Parallelogram: 0/1 or 0

Rhombus: 0/1 or 0

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The probability that a high school junior will take less than 135 minutes to complete the SAT exam is 0.5745.

To determine the probability, the standard normal distribution table or calculator is utilized.

The standard normal distribution table, also known as the z-score table, is used to find the probability of a certain z-score or a range of z-scores.

The SAT exam's time is normally distributed, with a mean of 150 minutes and a standard deviation of 25 minutes.The formula for z-score is as follows:

z=(x-μ)/σ

Where x is the time to complete the SAT exam, μ is the mean of the time to complete the SAT exam, and σ is the standard deviation of the time to complete the SAT exam.

To calculate the z-score, the time of 135 minutes is substituted for x, the mean μ of 150 minutes is substituted for μ, and the standard deviation σ of 25 minutes is substituted for σ.The computation is as follows:

z=(135-150)/25= -0.60

Using the standard normal distribution table, the probability of getting a z-score of -0.60 is 0.2743.

To obtain the probability that a high school junior will complete the SAT exam in less than 135 minutes, the area under the standard normal curve to the left of z = -0.60 must be computed. Because the normal curve is symmetrical, the region to the right of z = -0.60 is equal to 1 - 0.2743 = 0.7257.

Finally, to obtain the region to the left of z = -0.60, 0.7257 must be subtracted from 1:1 - 0.7257 = 0.2743

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Answer:

Maggie did not combine like terms correctly when she subtracted 7x from both sides of the equation. Here is a correct solution:

4x + 2 = 7x - 25

-3x + 2 = -25

-3x = -27, so x = 9, not -9

Answer:

D

Step-by-step explanation:

By the calculations below, there are 20 groups of 1/5 in 4.

To find out how many groups of 1/5 are in 4, we can use the concept of division of fractions.

Recall that dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the problem as:

4 ÷ 1/5

To find the reciprocal of 1/5, we flip the fraction:

1/5 → 5/1

Now, we can rewrite the division problem as multiplication:

4 ÷ 1/5 = 4 × 5/1

Multiplying across gives:

4 × 5/1 = 20

Therefore, there are 20 groups of 1/5 in 4.

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Based on the given information, the test statistic (t0) is -3.56, which indicates that the sample mean is 3.56 standard errors below the hypothesized population mean of 9 mobile apps.

The significance level (α) is 0.10, which means that the researcher has allowed for a 10% chance of rejecting the null hypothesis (H0) when it is actually true. The p-value is less than 0.01, which indicates that the probability of observing a sample mean at least as extreme as the one obtained, assuming the null hypothesis is true, is less than 1%. Therefore, we need to compare the p-value with the significance level. Since the p-value is less than the significance level, we reject the null hypothesis. This means that we have strong evidence to conclude that the average number of mobile apps on a person's cell phone is different than 9 mobile apps. Therefore, the correct answer is option d: Reject H0. There is strong evidence to conclude that the average number of mobile apps on a person's cell phone is different than 9 mobile apps.

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The "best-example" which shows the "safety-issue" related to large "manufacturing-business" is (b) broken machinery and flammable chemical containers are left sitting in "parking-lot".

The leaving of broken machinery and flammable chemical containers in the "parking-lot" poses a dangerous "safety-hazard" to both the employees and the surrounding community.

The broken machinery can cause accidents, while the flammable chemical containers can potentially leak or catch fire, leading to explosions and other dangerous situations. Therefore, it is crucial for the business to properly dispose of such hazardous waste and maintain a safe working environment.

Therefore, the correct option is (b).

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The given question is incomplete, the complete question is

Which example best shows a safety issue related to a large manufacturing business?

(a) The machines at the business are found to waste energy and cause excess costs.

(b) Broken machinery and flammable chemical containers are left sitting in the parking lot.

(c) Poverty has forced the neighborhood surrounding a business to become deserted.

(d) The flu season has caused a high rate of absent employees at the business.

Answer:

EF = 7 + 39 = 46

Step-by-step explanation:

EF = FG

x + 39 = 7x - 3

39 + 3 = 7x - x

42 = 6x

x = 42/6

x = 7

hope this helps :)

Second highest integer will have value of \(n+2\).

\(

n+(n+1)+(n+2)+(n+3)=126 \\

4n+6=126 \\

n=30

\)

So the value of the second highest of the consecutive integers is 32.

Hope this helps.

Answer:

32

Step-by-step explanation:

First, we must create an equation. If the integers are consecutive, it means that one comes right after the other (the difference is one). Here is the equation that will allow us to solve this problem:   (x) + (x + 1) + (x + 2) + (x + 3) = 126. Note that, although I have added parenthesis, these are just to separate each of the four integers we have not solved for yet. In your work, they will not make a difference in the answer!

Second, let's solve, beginning by combining like terms! There are four x's and 6 "regular" numbers (numbers without coefficients, in this case found by taking 1+2+3). This can be written out like so: 4x + 6 = 126.

Next, we must subtract the 6 from the left side and the right side in order to keep them equal. This gives us: 4x = 120.

Finally, let's divide both sides by four to find x!!! 120/4 =  30, meaning that: x = 30! For the last step, we must add 1, 2, and 3 to 30 to find all of the numbers. 30 + 1 = 31; 30 + 2 = 32, and 30 + 3 = 33! This gives us all four of our numbers: 30, 31, 32, and 33. The second highest of these is 32, which is our answer!

If you have any additional questions, please just comment below my answer and I'd be happy to help!

Answer:

10 cm wide, 20cm long

Step-by-step explanation:

That's what I got

(i) The null hypothesis is that the mean living area of all single-family homes in the county is equal to or less than 2400 square feet. The alternative hypothesis is that the mean living area of all single-family homes in the county is greater than 2400 square feet.

(ii) The test statistic is calculated using the formula: (sample mean - hypothesized mean) / (standard deviation / square root of sample size). In this case, the test statistic is \(\frac{(2540 - 2400)}{\frac{472}{\sqrt{50} } } =2.44\)

(iii) The p-value is the probability of obtaining a sample mean as extreme or more extreme than the one observed, assuming the null hypothesis is true. Using a t-distribution with 49 degrees of freedom (since we are using a sample size of 50 and estimating the population standard deviation), we can find the p-value to be 0.009.

(iv) Using a significance level of 0.05, we can conclude that the real estate agent's claim is not true, since the p-value is less than 0.05. We reject the null hypothesis and accept the alternative hypothesis that the mean living area of all single-family homes in the county is greater than 2400 square feet. If we use a significance level of 0.01 instead, we still reject the null hypothesis since the p-value is less than 0.01.

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none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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The Cox-Ross-Rubinstein (CRR) model is a mathematical model used in finance to evaluate the potential future value of an asset or portfolio. The model is based on the concept of a binomial tree.

A binomial tree is a mathematical model used in finance to estimate the probable future value of an asset or portfolio. The notion of a binomial, a mathematical expression with two potential outcomes, forms the foundation of the model. In a binomial tree, the future value of the asset is defined by two potential outcomes at each time step: a "upper" element and a down factor. The underlying variables that affect the asset, such as interest rates and market circumstances, dictate the up and down components. Reflecting This enables investors to assess the advantages and dangers of a possible investment and come to wise judgments.

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Answer:

ASA i believe

Step-by-step explanation:

Answer:

sorry I can't understand the answer sorry

Answer:

Rs 8000

Step-by-step explanation:

since 8% is 640

100% would be 640/8 x 100 = 8000

Topic: percentage / fraction conversions

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Answer:100%-6%=94%the quantity is 10,670.initial value= 10,670Discount=94% saving=94/100×10,670 = 0.94×100= 10,029

final value=10,670-10,029=640.

Answer:

Here we want to solve the equation:

"2, minus, 10, plus, 8, minus, left parenthesis, minus, 2, right parenthesis."

This can be written as:

2 - 10 + 8 - (-2)

Remember that we can solve this in any order we want, so let's go from left to right:

So we can solve first:

( 2 - 10) + 8 - (-2)

We know that:

2 - 10 = -8

Then we can replace that in the expression to get:

( 2 - 10) + 8 - (-2)  = -8 + 8 -(-2)

Now we can solve:

(-8 + 8) - (-2)

We know that:

-8 + 8 = 0        

Replacing that in the equation we get:

(-8 + 8) - (-2)    = 0 - (-2) = -(-2)

And now we can remember the rule of the signs:

(+)*(+) = (+)

(-)*(-) = (+)

(-)*(+) = (-)

(+)*(-) = (-)

Then:

-(-2) = (-1)*(-2) = +(1)*(2) = 2

The solution of the expression is 2.

Answer:

The answer is 2

I checked it on Khan

Step-by-step explanation:

Answer:

.50$

Step-by-step explanation:

When you add 1/2, 1/4, and 1/8 you get 7/8. We now know that Quinn spent 7/8 of 4.00$. We multiply 7/8 and 400 and we get 350. That means he spent 3.50$. 4.00-3.50= .50$

Answer:

3.50

Step-by-step explanation:

2.00+1.00+.50=3.50

Answer: 5 hours

Step-by-step explanation:

49-14 = 35

35/7 = 5