Complete each number pattern
8,625 8,725 ______ ______ 9,024

862 962 _____ 1,162 ______

6,215 _____ 6,015 _______ ______

To factorize the expression completely, we use the difference of squares formula and simplify the expression to get 6x.

The given expression is (2x+1)^2 -(x-1)^2. To factorize it completely, we can use the difference of squares formula, which states that (a^2 - b^2) = (a + b)(a - b). Applying this formula, we have:

(2x+1)^2 -(x-1)^2 = [(2x+1) + (x-1)][(2x+1) - (x-1)]

Simplifying further, we get:

(2x+1+x-1)(2x+1-x+1) = (3x)(2) = 6x.

Answer:

F = (9/5) (K - 273) + 32

Step-by-step explanation:

The problems asks to use the formula C=59(F−32), but check that this is not correct, it should be:

[tex]C = \frac{5}{9} (F - 32)[/tex]

We also know that temperature in degrees Kelvin K is 273 more than in degrees Celsius C, so we can write this as:

K = C + 273

The question asks to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K.

So first lets isolate F in the first formula

[tex]C = \frac{5}{9} (F - 32)[/tex]

[tex]C = \frac{5}{9} (F - 32)\\C * \frac{9}{5} = \frac{5}{9}* \frac{9}{5}(F - 32)\\C * \frac{9}{5} = F - 32\\C * \frac{9}{5} +32 = F - 32 +32\\F = \frac{9}{5} C +32[/tex]

Now to make the formula in terms of K, lets first write C in terms of K:

K = C + 273

C = K -273

And now we can replace C in the F formula to write it in terms of K:

F = (9/5) (K - 273) + 32

It's 21. You just divide one by the other.

The quotient is 2.

A quotient is the result of division. In division, the dividend Divided by the Divisor = the Quotient, in your question 14 is the Dividend and 7 is the Divisor,

Hope this Helps :D

y=12 is false answer.

To solve this problem, one would need to use the binomial probability formula, substituting different values of 'x' into the formula depending on the requirement of the question. To calculate probabilities for specific numbers of people saying cashews are their favorite, substitute those numbers into the formula and solve, adding appropriate probabilities together for situations with ranges of people.

The subject of this question is probability. We can use the binomial probability formula, which is P(X=x) = C(n, x) * (p^x) * ((1-p)^(n-x)), where 'p' is the probability of success, 'n' is the number of trials, and 'x' is the number of successful outcomes.

(a) For exactly 3 people loving cashews, substitute x=3, p=0.32 (32%), and n=12 into the formula to calculate the probability.
(b) For at least 4 people loving cashews, calculate the probability for x=4, x=5,....x=12 and add these probabilities together as this is an 'or' condition.
(c) For 2 or fewer people loving cashews, calculate the probability for x=0, x=1, x=2 and add them, because it says 'at most two' which includes 0 to 2 people.

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Answer,

Explanation,

Add 6 to both sides,

5c - 6 + 6 = 4 - 3c + 6

Simplify,

5c = -3c + 10

Add 3c to both sides,

5c  + 3c = 3c + 10 + 3c

Simplify,

8c = 10

Divide both sides by 8,

8c/8 = 10/8

Simplify,

C = 5/4

Hope this helps :-)

the answer would be 374.00

the original value before any increase or decrease is 340.00

so...

340.00 X 1.10 = 374.00

Answer:

New Wage after 10% increase =£374

Step-by-step explanation:

Let us assume  Carol's initial weekly wage be £ x

Now there is 10% decrease in weekly wage

10 %  of weekly wage = 10 % of x

                                    =  [tex]\frac{10x}{100} = 0.1x[/tex]

New wage after 10% decrease =  initial weekly wage - 10% of x

                                                   =  [tex]x- 0.1x = 0.9x[/tex]

It is given that new weekly wage is £ 306

so we equate £306 and 0.9x , so we have

[tex]0.9x=306[/tex]

[tex]x=\frac{306}{0.9}[/tex] ( divide both sides by 0.9)

[tex]x= 340[/tex]

So we got

Initial weekly wages = £ 340

Now Let us find weekly wage when there is 10% increase,

10% of initial weekly wage = [tex]10% of 340[/tex]

                                            =[tex]\frac{10}{100}[/tex]×[tex]340[/tex]

                                            = [tex] 34[/tex]

New Wage after 10% increase = [tex]340+34[/tex]

                                                  =£ 374

Hello!

The answer should be 0.34%

Explanation: First you had to start by representing by the percent with a variable by the x%. Then you can also used x% to create an algebraic expression. It gave us 29%*x=3. Next solve for x by dividing by 29 from both sides. It gave us 29x÷29=3÷29, or x≈0.1034. Then convert 0.1034 into a percent by multiplying by the decimal by 100%. And it gave us x≈0.1034*100%, and the answer is x≈10.34% is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. Have a great day! -Charlie

The percentage of 29 that is equal to 3 is 10.34% calculated by making percentage the subject of the equation.

To find the percentage of one number in relation to another, you can use the following formula:

(Percentage / 100) * Number = Part

In this case, we want to find what percent 3 is of 29.

Let's substitute the values into the formula:

(Percentage / 100) * 29 = 3

To isolate the percentage, we divide both sides of the equation by 29:

(Percentage / 100) = 3 / 29

To find the percentage, we multiply both sides by 100:

Percentage = (3 / 29) * 100

Calculating this expression:

Percentage = 10.34

Therefore, 3 is approximately 10.34% of 29.

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zero days, 3 hours + 20 min + 1 hour + 48 min = 308 min which is about 5 hours.

3 hours 20 minutes + 1 hour 48 minutes = 0.2139 days

Let’s calculate the total time in hours and minutes:

Now, let’s convert the total time to days:

First, convert the minutes to hours:

[tex]68 \text{ minutes} = \frac{68}{60} \text{ hours} = 1.1333 \text{ hours}[/tex]

Next, add the converted hours to the original 4 hours:

[tex]4 \text{ hours} + 1.1333 \text{ hours} = 5.1333 \text{ hours}[/tex]

Now, divide the total hours by 24 to find the equivalent days:

[tex]5.1333 \text{ hours} \div 24 = 0.2139 \text{ days}[/tex]

Therefore, 3 hours 20 minutes + 1 hour 48 minutes equals approximately 0.2139 days

Set of points lies on given graph

(-4,11) , (-2,7), and (1, 1)

Answer

D. (-4,11),(-2,7),(1,1)

Hello,

If this is the case, i would division.

4 devided by 5 is 1 reminder 1.

Plz mark brainliest

*i think i got it right!*

The drama club used 0.5 of the gymnasium floor for the stage, and 0.4 of that for the backstage area. Therefore, the equation representing the portion of the gymnasium used for the backstage area is 0.2F = backstage area, where F represents the total gymnasium floor space.

The drama club used 0.5 of the total gymnasium floor space to build a stage. But they further used 0.4 of that space for a backstage area. If the total floor space is represented by the variable F, the portion used for the stage would be 0.5F. The space used for the backstage area would be 0.4 of that, so it would be 0.4 * 0.5F = 0.2F. So the equation representing the situation is 0.2F = backstage area.

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3 is the y-intercept

and -6 is the x-intercept

usually they don't have y behind the y-intercept so usually its the one that doesn't have x, they usually only put x.

The correct answer to this equation is X-inter=(-3.15,0) and Y-inter=(0,6.3) and heres why:

To solve this problem we must isolate the y-variable and then graph. Here are the steps to do that

[tex]-6x+3y=18.9[/tex] Now add 6x to both sides to get:

[tex]3y=18.9+6x[/tex] Next we divide both sides by the 3 next to the "y" to get:[tex]y=\frac{18.9+6x}{3}\\[/tex]

Then you can simply graph this new equation to find your points. There is also another way to do it without graphing but it will take a lot more explaining and this way is faster.

If you find out that my answer is wrong, please tell me and I promise I will come back and rework my math. Thanks :)

one Brian's item cost: x

one Chris' item cost: x+2.5

Set up equation:

Brians amount = Chris amount

4*x = 3*(x+2.5)

solve for x:

4x = 3x + 7.5

x = 7.5

Brian's items cost $7.5 each.

Check:

Brian paid 4*7.5 = $30

Chris paid 3*10 = $30

The individual cost of Brian's items was $7.50, and the indiv. cost of Chris' items was $10.

[tex]2^x\cdot 3^x=200\\\\(2\cdot3)^x =200\\\\6^x=200\\\\x=\log_6200\\\\x=\dfrac{\ln 200}{\ln 6}\\\\x\approx2.96[/tex]

Answer:

2e-7 or 2x10^-7

Step-by-step explanation: correct me if i'm wrong

1000 would be the answer

The rounding number to the nearest thousand will be 1,000.

What is Rounding number?

To making a number simpler but keeping its value close to what it was, is called Rounding.

Given that;

The number is;

1348

Now, To round a number to the nearest thousand, look at the hundreds digit. If the hundreds digit is 5 or more, then round up.

If the hundredth digit is 4 or less, then round down.

So, Here the hundreds digit is 3, which is less than 5.

Then, we round down.

Thus, The rounding number = 1,000

So, The rounding number to the nearest thousand will be 1,000.

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It would cost $37.50.

We know that [tex]\sqrt(4)[/tex] and [tex]\sqrt(9)[/tex] are 2 and 3 respectively. Therefore, [tex]/sqrt(5)[/tex] is between 2 and 3, approximately 2.2.

Answer:

Well, we have to remember that we must use PEMDAS, or the order of operations, to solve the expression.

Therefore, we must first either divide or multiply anything that is inside of the parentheses. (In this case divide)

[tex]12/3=4[/tex]

[tex](4+6)-4[/tex]

Now solve what remains in the parentheses.

[tex]4+6=10[/tex]

[tex]10-4[/tex]

Finally, subtract 4 from 10 and get your answer:

6

Hello!

Answer:⇒⇒⇒=6

Step-by-step explanation:

This question it should be used pemdas.

Hint:

P-parenthesis (12÷3+6)=4+6=10

E-exponents 8²=8*8=64

M-multiply 21*2=42

D-divide 20÷5=4

A-add 5+5=10

S-subtract 30-10=20

First calculate with parenthesis.

[tex](12\div3+6)[/tex]

Then multiply and divide from (left to right).

[tex]12\div3=4[/tex]

Add and subtract from (left to right).

[tex]4+6=10[/tex]

[tex]10-4=6[/tex]

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

Answer:

Volume increasing rate = [tex]62831.85 mm^3/s[/tex]

Explanation:

We rate of change of radius of sphere, [tex]\frac{dr}{dt} =2mm/s[/tex]

Diameter of sphere = 100 mm

Radius of sphere = 50 mm

Volume of sphere, V = [tex]\frac{4}{3} \pi r^3[/tex]

Rate of change of volume = [tex]\frac{dV}{dt}[/tex]

[tex]\frac{dV}{dt}=\frac{d}{dt} (\frac{4}{3} \pi r^3)=\frac{4}{3} \pi\frac{d}{dt}(r^3)=\frac{4}{3} \pi*3r^2*\frac{dr}{dt}[/tex]

Substituting known values

     [tex]\frac{dV}{dt}= \frac{4}{3}* \pi*3*50^2*2=62831.85 mm^3/s[/tex]

Volume increasing rate = [tex]62831.85 mm^3/s[/tex]

he is 10 miles east of his school because:

  N

W-|-E          So if you consider the middle of the lines the school and draw a line four             S               miles west then you go backwards (east) fourteen miles. you get 10.

Equation: 0+4=4     |4-14|=10

Peter is 10 miles east of his school after his run.

To determine how far past his school Peter is after his run, we need to calculate the total displacement from his starting point. Since he ran 4 miles west and then 14 miles east, the total displacement is the difference between the two distances, which is 10 miles east. Therefore, Peter is 10 miles east of his school after his run.

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2(x+14) + 2(x) after using the distributive property will be 2x+28+2x. What I did to find this is multiply the number outside of the opening parentheses by everything inside of the pair of parentheses.

the answer is 360 because if you take a third you will have 120 then if you take half of that then you get 60

Using a system of equations, it is found that the number is of -360.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem:

Hence:

[tex]\frac{n}{3} - \frac{n}{2} = 60[/tex]

[tex]\frac{2n - 3n}{6} = 60[/tex]

[tex]-n = 360[/tex]

[tex]n = -360[/tex]

The number is of -360.

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[tex]nPk=\dfrac{n!}{(n-k)!}\\\\4P$=\dfrac{4!}{(4-4)!}=\dfrac{4!}{0!}=\dfrac{24}{1}=24[/tex]

Final answer:

The number of permutations for 4 P 4 is calculated as 4! (four-factorial), which is 4 x 3 x 2 x 1, resulting in 24 different permutations.

Explanation:

The question asks for the number of permutations for 4 P 4, which is the number of ways to arrange 4 unique items. When dealing with permutations, if we want to select r items from a set of n items, the formula for permutations is given by nPr = n! / (n-r)!. In this case, both n and r are equal to 4, so we would calculate 4P4 as 4! / (4-4)! which simplifies to 4! / 0!. Because 0! is defined to be equal to 1, the calculation becomes 4! Therefore, 4 P 4 equals 24.

Answer:

The scatter diagram that contains the correlation coefficient closest to r = 1 is the first one shown in the attached images.

Step-by-step explanation:

The correlation coefficient "r" measures how much two variables x and y are related. When the variables are highly related, the value of r is closer to one and the points contained in the scatter diagrams are assimilated more and more to a line. When the value of r is positive the relation is crescent and therefore the slope of the line drawn by the points in the diagram has a positive slope

Therefore, to answer this question, one must search among the attached images for the dispersion diagram in which the points resemble a straight line with a positive slope.

The scatter diagram that meets the requirements mentioned is the first one that appears in the attached images

The scatterplot with a correlation coefficient closest to r = 1 is the one shown in the image below.

Therefore, a scatterplot with a correlation coefficient that is closest to r = 1 will have a slope whose data points lie almost on a straight line and slopes upwards to the right.

Therefore the scatterplot with a correlation coefficient closest to r = 1 is the one shown in the image below.

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[tex]4(px+1)=64\qquad|\text{divide both sides by 4}\\\\px+1=16\qquad|\text{subtract 1 from both sides}\\\\px=15\qquad|\text{divide both sides by}\ p\neq0\\\\\boxed{x=\dfrac{15}{p}}[/tex]

Kat's study score rate is 5 points per hour. To achieve a score of 90, given her current study rate, she should spend 18 hours studying for the exam.

Since the average score Kat gets on her exams is proportional to the amount of time she studies, her score is a measure of her rate of study. This 'rate' can be computed as the score divided by the time she studies. She got a 75 after studying for 15 hours, so her rate is 75/15 = 5 - this means she scores 5 points per hour of studying.

To figure out how many hours she needs to study to score a 90 in the next exam, divide the score she needs (90) by her rate (5). So, 90/5 = 18. Thus, Kat needs to study for 18 hours to achieve a score of 90 on her next exam.

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Answer:

Jon lost a total of 3 kilograms in these 3 months.

Step-by-step explanation:

Weight that Jon gained in December = 2.2 kilograms

Weight that Jon lost in January = 1.5 kilograms

Weight that Jon lost in February = 3.7 kilograms

Overall Change in his weight = Total Weight he gained - Total weight he Lost

Total weight he gained is 2.2 kilograms as he only gained weight in December. Total weight he lost will be sum of weights he lost in January and February.

So, total weight Jon lost = 1.5 + 3.7 = 5.2 kilograms

Thus,

Total change in Jon's Weight = 2.2 - 5.2 = -3.0 kilograms

This shows that Jon lost a total of 3 kilograms in these 3 months.

Conclusion:

The statement that best describe the total change in his weight is: Jon lost a total of 3 kilograms in these 3 months

Answer:

2.2+(-1.5)+(-3.7)=?

Step-by-step explanation:

Janet: x + 3

Julie: x

brother: x - 8

Janet + Julie + brother = sum

x + 3  +   x     +   x - 8    =  55

3x - 5 = 55

    +5   +5

3x      = 60

[tex]\frac{3x}{3} = \frac{60}{3}[/tex]

x = 20

Janet: x + 3   ⇒   (20) + 3   = 23

brother: x - 8   ⇒   (20) - 8   = 12

Answer: Janet=23, Julie=20, brother=12