What is the midpoint of OA ?




A: (2m, n)


B: (m, n)


C: (m – n, 0)


D: (m, 2n)

Step-by-step explanation:

Putting values of c and r

4 + 4(10) - 3(10 - 3)

4 + 40 - 3(7)

44 - 21

23

To find if either of them are correct just multiply each of them:

(9y^3)(9y^2)= (9)(9)(y^3)(y^2)

=81y^5

Sophia is incorrect.

(3y^6)(27y)=(3)(27)(y^6)(y)

=81y^7

Ahmed isn't correct either!

Both the persons Sophia and Ahmed do not factor in the expression correctly.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that, Sophia factored 81y⁶ as  (9y³)(9y²) and Ahmed factored 81y⁶ as (3y⁶)(27y).

We have to find the correct factored form,

= (9y³)(9y²)

The expression is to be arranged in order to find the understand the property of exponent as,

=(9×9)(y³.y²)

=(81)(y³⁺²)

=81y⁵

Thus, both the persons Sophia nor Ahmed do not factor in the expression correctly.

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Answer:

5

Step-by-step explanation:

3+2=5

Answer:

5 cups

Step-by-step explanation:

2 cups plus 3 cups

Answer:

70%

Step-by-step explanation:

14 divided by 20

Answer:

6

Step-by-step explanation:

The equation 4x^2 + 28x + 49 = 0 is already a perfect square trinomial, and when rewritten in completed square form, it is (x + 7/2)^2 = 0, resulting in the solution x = -7/2.

To rewrite the equation by completing the square for the given quadratic equation 4x^2 + 28x + 49 = 0, we must manipulate the equation so that the left side becomes a perfect square trinomial.

Steps to Complete the Square

Divide all terms by the coefficient of x^2, which is 4 in this case, to make the coefficient of the x^2 term equal to 1.

You now have x^2 + 7x + (49/4) = 0.

Find a number that, when added to x^2 + 7x, completes the square. This number is (b/2)
2, where b is the coefficient of x; thus, here it is (7/2)^2 = 49/4.

Since 49/4 is already present, it confirms that the equation is already a perfect square trinomial.

Therefore, you can rewrite the equation as (x + 7/2)^2 = 0.

Finally, solve for x by taking the square root on both sides of the equation and subtracting 7/2 from both sides to get x = -7/2.

The equation 4x^2 + 28x + 49 = 0 is rewritten in completed square form as (x + 7/2)^2 = 0, with the solution x = -7/2.

Answer:161700

Step-by-step explanation:

The number of ways for a quality-control engineer to select a sample of 3 transistors for testing from a batch of 100 transistors will be 161700.

Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

The number of ways for a quality-control engineer to select a sample of 3 transistors for testing from a batch of 100 transistors will be

¹⁰⁰C₃ = (100!) / [(100 – 3)! × 3!]

¹⁰⁰C₃ = (100 × 99 × 98 × 97!) / (97! × 3 × 2)

¹⁰⁰C₃ = 50 × 33 × 98

¹⁰⁰C₃ = 161700

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Answer:

8 pounds of raisin, 6 pounds of granola and 16 pounds of peanuts

Step-by-step explanation:

Lets form equations first.

->Peanuts cost $2.50 per pound, raisins cost $2.00 per pound,  granola costs $4.00 per pound

2.50p + 2.00r + 4.00g= 80 -->eq(1)

-> bought ingredients to make 30 pounds of trail mix

p+ r+ g= 30 -->eq(2)

->If you use twice as many pounds of peanuts as raisins

2r=p

eq(1)=> 2.50p + 2.00r + 4.00g= 80

2.5(2r) + 2r +4g =80

5r + 2r + 4g =80

7r + 4g =80

eq(2)=>

2r+ r+ g= 30

3r + g =30

-4(3r + g =30)

   7r + 4g =80

_______________

 -5r = -40

r= 40/5 =>8

For 'g':

3(8) + g =30

g= 6

For 'p':

2r=p

p=16

therefore, 8 pounds of raisin, 6 pounds of granola and 16 pounds of peanuts should be bought

The solution to the problem is to buy 20 pounds of peanuts, 4 pounds of raisins and 6 pounds of granola.

This problem requires the use of algebra. Let's denote the amount of peanuts as x, the amount of raisins as y and the amount of granola as z. We have certain constraints according to the problem that need to be satisfied. These are:

First, substitute x = 2y from the first equation into the other two equations. This gives you the new equations y + z = 10 and 9y + 4z = 80. Next, solve these simultaneous equations. The solutions are y = 4, z = 6. Substituting y into the first equation gives us x = 2*4 = 20. So, you should buy 20 pounds of peanuts, 4 pounds of raisins and 6 pounds of granola.

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Answer:

* LOOK AT THE PICTURE's*

I hope this helps and is the right one

The converse of the parallelogram side theorem states, If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

To prove this statement, we will assume that the opposite sides of a quadrilateral are congruent and demonstrate that it must be a parallelogram.

If both the opposite sides are parallel then we can easily prove that a parallelogram

Given: Quadrilateral PQRS, where PQ is congruent to RS and PR is congruent to QS.

To prove: PQRS is a parallelogram.

Proof:

Since PQ is congruent to RS (given), the segment PQ is parallel to the segment RS by the converse of the corresponding sides of congruent triangles are congruent (CPCTC). Since PR is congruent to QS (given), the segment PR is parallel to the segment QS by CPCTC.

Now we have both pairs of opposite sides of PQRS parallel, which satisfies the definition of a parallelogram.

Therefore, by proving that both pairs of opposite sides are PQRS parallel, we have shown that if the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

This completes the proof of the converse of the parallelogram side theorem.

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Answer:

$38,000 is correct

Step-by-step explanation:

just took it

The z value is 1.875.

To compare Rob's salary as an engineer to the mean salary for engineers with less than 5 years of experience, we need to find the z-score of Rob's salary.

The z-score formula is

z = (x - μ) / σ,

where x is the given value,

μ is the mean, and

σ is the standard deviation.

Plugging in the values, we get z = (50,000 - 60,000) / 5,000 = -2.

For Rachel's salary as an executive in the retail industry, we use the same process.

The z-score formula is z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.

Plugging in the values, we get z = (50,000 - 35,000) / 8,000 = 1.875.

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Answer:

There are 18 rungs on the ladder.

Step-by-step explanation:

Given a firefighter who is standing on the middle of the ladder.

We have to find the number of rungs the ladder have.

Let the number of rungs be "2x" where "x" be the number of rungs from the middle of the ladder to the top of the ladder.

Rungs below the middle of the ladder is equal to rungs above the middle of the ladder.

According to the question:

Let the fire fighter be at "y" rungs this "y" will be the reference point.

⇒ Moved [tex]4[/tex] rungs from 'y' current position [tex]4[/tex] rungs above of 'y'.

⇒ Moved [tex]6[/tex] rungs down meaning that [tex](4-6)= -2[/tex] rung from 'y' below [tex]2[/tex] rung  downward from 'y'.

⇒ Moved [tex]7[/tex] rungs upward from here meaning [tex](-2+7) = 5[/tex] rung above 'y'.

Now,

⇒ Further the firefighter climbed [tex]4[/tex] rungs from here [tex](5+4) = 9[/tex] rungs above 'y' .

Finally the firefighter have climbed [tex]9[/tex] rungs from 'y' that is the middle of the ladder so there is equal rungs below of it.

Total rungs of the ladder = '2x' = 2(9) = 18 rungs.

Answer:

a = (cx - by)/x

Step-by-step explanation:

ax + by  = cz

ax = cz - by

a = (cx - by)/x

Can I get brainliest

Answer:

£600

Step-by-step explanation:

First take if 110% equals to £660 what about 100%

100×660 =66000 ÷ 110 =£600

The original price of the watch, before the 10% increase, was £600.

The price of a watch was increased by 10% to £660, and we are asked to find the price before the increase. We can solve this problem by considering that the increased price is 110% of the original price. To calculate the original price, let's set up the equation:

660 = 1.10 * Original Price

To solve for the Original Price, we divide 660 by 1.10:

Original Price = £660 / 1.10

This gives us the original price of the watch which is £600.

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Answer:

[tex]21^{10}[/tex]

Step-by-step explanation:

First, multiply the 3 and the 7 together, and then "multiply" the exponents -8 and 3. (However, when "multiplying exponents, you're really just adding them together: -8 + 5)

([tex]21^{-5}[/tex])^2

Then, multiply the -5 and -2 together, giving you:

[tex]21^{10}[/tex]

Answer:

230° is equal to  [tex]\displaystyle \frac{23 \pi}{18}[/tex]  radians.

General Formulas and Concepts:

Trigonometry

Degrees to Radians Conversion: [tex]\displaystyle \frac{n\pi}{180}[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables.

n = 230°

Step 2: Find Radians

∴ 230° is equal to  [tex]\displaystyle \frac{23 \pi}{18}[/tex]  radians.

---

Topic: Pre-Calculus

Unit: Trigonometry

Answer:

y = 3x-10

Step-by-step explanation:

The slope intercept form of a line

y = mx+b  where m is the slope and b is the y intercept

The slope is 3 and the y intercept is -10

y = 3x-10

Step-by-step explanation:

F(2)=3(2)²-7

=5

................

Answer:

Square 2. Multiply the result by -3, and then subtract 7.

Step-by-step explanation:

The answer is basically the explanation of the answer. You want to replace x with 2 then square it. You will have 4. Multiply 4 by -3 and you will have -12 then subtract it by 7 and you'll get the answer to f(x). The answer is the steps. Not the 'answer' answer. Hope this helps! (I did this question, and I got it right.)

Answer:

Option A

Step-by-step explanation:

your welcome = )

The inverse of the function y = 6ˣ is y = log₆(x), which means option A is correct.

To find the inverse of the function y = 6ˣ, we need to swap the roles of x and y and then solve for y. The steps to find the inverse are as follows:

Start with the original function: y = 6ˣ

Swap x and y:

[tex]x = 6^{y}[/tex]

To solve for y, take the logarithm of both sides using the same base (in this case, base 6):

log₆x = log₆([tex]6^{y}[/tex])

Since [tex]log_{b} (b^{y} )[/tex] = y, we get: y = log₆x

Therefore, the inverse function is y = log₆x.

Answer:

  13.56

Step-by-step explanation:

Each batch makes a total of ...

  0.090 +0.300 +3 = 3.39 . . . liters

Then 4 batches makes ...

  4 × 3.39 L = 13.56 L

Kim made 13.56 liters of punch.

Final answer:

Kim made a total of 13.56 liters of fruit punch by making 4 batches, with each batch including a combination of strawberry, pineapple, and apple juices.

Explanation:

Kim made 4 batches of fruit punch, each containing 90 milliliters of strawberry juice, 300 milliliters of pineapple juice, and 3 liters of apple juice.

To find the total amount of fruit punch made, we first convert all quantities to liters and then sum them up. Since there are 1,000 milliliters in 1 liter, 90 milliliters is equal to 0.09 liters and 300 milliliters is equal to 0.3 liters.

For one batch, the total liters of juice is:

So for one batch, the total is 0.09 + 0.3 + 3 = 3.39 liters.

Since Kim made 4 batches, the total amount of fruit punch is:

4 batches × 3.39 liters per batch = 13.56 liters

Therefore, Kim made 13.56 liters of fruit punch in total.

Answer:

£3.66

Step-by-step explanation:

17+23=40

40=16 what about 17

16×17=272÷40=£6.8

16-6.8=£9.2

20% of £6.8 = £1.36

1/4 of £9.2 = £2.3

1.36+2.3=£3.66

Answer:

  x = 2 or -3

Step-by-step explanation:

The product will be zero when one of the factors is zero.

First factor:

  x - 2 = 0

  x = 2 . . . . . add 2 to both sides of the equation

Second factor:

  x + 3 = 0

  x = -3 . . . . .subtract 3 from both sides of the equation

The values of x that solve this equation are x = 2 and x = -3.

Answer:

Difference is (0.181671, 0.263529)

We are more than 95% confident that the true percentage of life births for women under 38 years of age is between 18.17% and 26.35% higher than the true population of live births of women aged 38 or older.

Step-by-step explanation:

We are given;

x1 = 41

n1 = 152

x2 = 4

n2 = 86

Thus,

Sample proportion 1; p'1 = 41/152 = 0.2697

Sample proportion 2; p'2 = 4/85 = 0.0471

For confidence level, 1 - α = 1 - 0.05 = 0.95, using the z-table i attached under the column of z_α/2,we have

z_α/2 = 0.96

The end points of the confidence intervals for p1 - p2 are;

(p'1 - p'2) - z_α/2√[(p'1(1 - p'1)/n1) + (p'2(1 - p'2)/n2)

And

(p'1 - p'2) + z_α/2√[(p'1(1 - p'1)/n1) + (p'2(1 - p'2)/n2)

The first one is calculated as;

(0.2697 - 0.0471) - 0.96√[(0.2697(1 - 0.2697)/152) + (0.0471(1 - 0.0471)/86)

.= 0.2226 - 0.040929 = 0.181671

The second one is calculated as;

(0.2697 - 0.0471) + 0.96√[(0.2697(1 - 0.2697)/152) + (0.0471(1 - 0.0471)/86)

.= 0.2226 + 0.040929 = 0.263529

Thus, we are more than 95% confident that the true percentage of life births for women under 38 years of age is between 18.17% and 26.35% higher than the true population of live births of women aged 38 or older.

Answer

No, she should have added 62 and 82 and compared that to 102.

Answer:

The correct answer is C) No, she should have added 62 and 82 and compared that to 102.

Step-by-step explanation:

Her answer is incorrect because she did not follow the steps correctly, she should have added the two numbers. Good luck!

Answer:

D: 32[tex]\sqrt{3}[/tex]

Step-by-step explanation:

8/3[tex]\sqrt{3}[/tex] * 1/2 * 4 = 16[tex]\sqrt{3}[/tex]/3

16[tex]\sqrt{3}[/tex]/3 * 6 = 32[tex]\sqrt{3}[/tex]

Answer: $1.5 millions

Step-by-step explanation:

Since the population is in millions and a million is like a fraction many millions.

Therefore, the minimum amount of money you could reasonably expect to spend in order to qualify for this amendment for the ballot is $1.5 millions

Answer:

Sandra's salary the previous year was $41,000

Step-by-step explanation:

Please check the files attached for more explanation

Final answer:

By setting up an equation where 0.13 times Sandra's previous year's salary plus $2000 equals her savings of $5590, we solve to find that Sandra's previous year's salary was $41,000.

Explanation:

To solve the problem of finding Sandra's salary from the previous year, we need to use the information given about her savings and current year's salary increase. Since Sandra saved 13% of her salary and we know that the total amount saved this year is $5590, we can set up the following equation where S represents her salary from the previous year:

0.13(S + 2000) = 5590

Now we solve the equation:

Divide both sides of the equation by 0.13 to isolate S + 2000 on one side:

(S + 2000) = 5590 / 0.13

S + 2000 = 43000

Now subtract 2000 from each side to solve for S:

S = 43000 - 2000

S = 41000

Therefore, Sandra’s salary in the previous year was $41,000.

Answer:

it will also double the circumference

Step-by-step explanation:

c = 2πr

r' = 2r

c' = 2πr' = 2π x 2r = 4πr

Answer:???

Step-by-step explanation:

Answer:

As the stake is 3 m long we will take it as the radius of the circle and find the area as per:

22/7*3*3=22/7*9=198/7m^2

198/7 metre square.

Answer:

Turn-0.9166666666666666

Degree-330.00000000081860208

Final answer:

11/12 of a full rotation equates to 330 degrees or approximately 2.91 radians.

Explanation:

11/12 of a full rotation in a mathematical context refers to completing 11 out of 12 equal parts of a circle. Since a circle has 360 degrees, we can calculate this portion of a rotation by finding 11/12 of 360 degrees, which is 330 degrees. In terms of radians, since a full rotation is 2π radians, the same portion in radians would be 11/12 of 2π radians, which is approximately 2.91 radians.

Answer:

√36

Step-by-step explanation:

√(a·b) = √a·√b, so

√3·√12 = √(3·12) = √36 = 6

Answer:

√36

Step-by-step explanation:

√3*√12 = √36 = 6

This matches the second answer choice.