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Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? (negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot) (negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot) {–12, 2} {–2, 12}

Answer:

[tex]36a^5[/tex].

Step-by-step explanation:

In a right angle triangle,

Length of one leg [tex]=12a^5[/tex]

Length of other leg [tex]=9a^5[/tex]

According to the Pythagoras theorem,

[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]

Using Pythagoras theorem,

[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]

[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]

[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]

[tex]Hypotenuse=15a^5[/tex]

Perimeter of right angle triangle is the sum of all sides of the triangle.

[tex]Perimeter=12a^5+9a^5+15a^5[/tex]

[tex]Perimeter=36a^5[/tex]  units.

Therefore, the required expression is [tex]36a^5[/tex].

Answer:

I'm pretty sure it's "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."

Step-by-step explanation:

Answer:

A. "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."

Step-by-step explanation:

Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. y = negative 4. Step 5 Solution is (3, negative 4). Is Claire’s solution to the system of equations correct? Explain why or why not. No, Claire should have multiplied the second equation by negative two instead of positive two in step one. Yes, Claire correctly added the equations and then substituted for x to solve for y. No, Claire should have multiplied the first equation by negative three instead of positive three in step one. No, Claire should have gotten Negative 2 y = negative 8 instead of 2 y = negative 8 in step four.

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Answer:

≈ 70.4 cm

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , thus

C = 2 × 3.142 × 11.2 ≈ 70.4 ( to 1 dec. place )

Answer:

idk

Step-by-step explanation:

idk

Answer:

that is to hard

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

I WENT TO PHOTO MATH

H O P E I T H E L P S ! ™©

Answer:

A. y=x^2+6x

y= x^2-6x

the answer to the second part is 0

Step-by-step explanation:

on edgenuity 2020 :))

Answer:

1.44

Step-by-step explanation:

No. of warp coils manufactured in one group = 36

defect rate = 4%

That is 4 out of every 100 warp coil is defective

No. of defective warp coil in one group = 4% of warp coil in one group

                                                             = 4% of 36 =4/100 *36

                                                             = 1.44

Thus, there are 1.44 defective coil in each group.

Since, mean number is average number of defect.

So if each group has 1.44 defective coils then mean for all the group will remain same i.e 1.44

Answer:

Because there are 24 ducks total and they are separated equally into three categories, we can figure out that there are 24 / 3 = 8 ducks of each color. This makes the probability of pulling a red/blue duck would be (8*2)/24 or 16/24. If we want this to be a percentage we can just solve 16/24*100 and it will give us 66.66...%

1 cup = 1/2 pint, so where it says 4 cups we'll just read 2 pints.

1.  In one show we serve 30 × 2 pints of small and 42 × 6 pints of regular.

Total = 30 × 2 + 42 × 6 =  60 + 252 = 312 pints

Answer: 312 pints

2. 8 pints per gallon, 2 gallons per container makes 16 pints per container.  

312 pints / 16 pints per container = 19.5 containers

We round up since we need a whole number of containers.

Answer: 20 containers

We can't really see question 3.

Answer:

52

Step-by-step explanation:

This is an isosceles triangle, so the base angles will be the same. Then you know that all of your angles will add up to 180.

Your equation can be:

2(2x+2) + (3x + 1) = 180

x = 25

S = 2(25) + 2

S = 52 degrees

Answer:

52

Step-by-step explanation:

Because SR = TR, ∡S =∡T= 2x+2

For any triangle sum of all angles = 180°.

2x+2 +2x+2+3x+1= 180

7x + 5 =180

x = 25°

∡S =2x+2=2*25+2 = 52°

Answer:

I don't get your question but if you are asking. How long is 1 hour and a half?

The answer for this question is 15 minutes.

Step-by-step explanation:

How long is 1 hour and a half?

15 minute is the right answer

Answer:x=57

Step-by-step explanation:

Answer:

30.5

Step-by-step explanation:

Measure of angle A and B equals 110 because of how triangles work

Therefore 3x + x + 4 = 110

4x + 4 = 110

Subtract 4 from each side

4x = 106

Divide both sides by 4

x = 26.5

Measure of angle ABC equals 26.5 + 4 = 30.5

Answer:

Quadrant 2

Step-by-step explanation:

Sin = opp/hyp and opp is positive in quadrants 1 & 2.

Tan = opp/adj - we need one of these values to be positive and the other negative. adj is negative in quadrants 2 & 3.

Quadrant 2 is found in both of the scenarios that we need to occur.

Answer:

4,2

Step-by-step explanation:

did the test

The solution of the system of equation is (4, 2) which is correct option(A).

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Given the two systems of equations,

-3x + 5y = -2

3x + 7y = 26

Adding the both equations

-3x + 5y + 3x + 7y = -2+26

12y = 24

y = 2

Substitute the value of y in any one of the equations,

3x + 7 y = 26

3x + 7(2) = 26

3x = 26-14

3x = 12

x = 4

Hence, the solution of the system of equation is (4, 2).

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Answer:

A free throw is more likely

First: 0.345

Second: 60%

Step-by-step explanation:

For placement:

0.345 would be behind 0.5

And

60% would be ahead of 0.5

60% = 0.6

0.345 < 0.6

Answer:

A free throw

Step-by-step explanation:

Answer:

500 milliliters or ml

Step-by-step explanation:

First, we find the amount of milk is in the measuring cup which is 350 ml  and then add 350 ml of milk to the 150 ml of tomato sauce to get 500 ml.

Hope it helped :)

The amount of soup made by Von is equal to 500 milliliters. Hence, option D is correct.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data given in the question,

Von mixes tomato sauce and milk to make soup.

Initially, the amount of tomato sauce added in the pot = 150 milliliters.

Then, milk is added that is in the measuring cup that is 350 milliliters.

So,

The total amount of soup made by him,

= 150 + 350

= 500 milliliters.

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Answer:

22

Step-by-step explanation:

4x(3-2)+18

4x(1)+18

4+18

22

4x+18

Answer:

22

Step-by-step explanation:

4 x (3-2) + 18

PEMDAS says parentheses first

4 x (1) + 18

Then multiply and divide

4 +18

Then add and subtract

22

Step-by-step explanation:

In the 1st question

Total boxes = 6

Shaded boxes = 2

Probability = 2/6 = 1/3

Answer:

The first one dividing the number by 100

Step-by-step explanation:

The probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

The probability:

P(Math/Music') = P(Math∩Musci')/P(Music')

Total number of sample = 22+80+45+38 = 185

Probability of liking math:

P(Math) = (22+80)/185 =0.55

Probability:

P(Music) = (45+80)/185 = 0.68

P(Music') = 1-0.68 = 0.32

Probability of liking math and liking music:

P(Math∩Music) = 80/185 = 0.43

Now, P(Maths/Music) = (0.55 - 0.43)/0.32 = 0.375 ≈ 0.37

Thus, the probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.

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Answer:

5

Step-by-step explanation:

(3+15+21+13)/4 = 13

13 - 3 = 10

15 - 13 = 2

21 - 13 = 8

13 - 13 = 0

(10+2+8+0)/4 = 5

Answer:

1. (B)P(x) = -3(x-4)(x - 140)

2. $140

Step-by-step explanation:

(1) Given the profit function, P(x) where x is the price, the expression which reveals the price which gives a profit of  zero without changing the form of the expression is:

P(x) = -3(x-4)(x - 140)

This is as a result of the fact that equating it to zero immediately yields the zeros of the quadratic polynomial.

(2)When the profit, P(x)=0, then using the expression above we have:

[tex]P(x) = -3(x-4)(x - 140)\\Since -3\neq 0, then:\\x-4=0$ or x-140=0\\x=4 or x=140[/tex]

A price of $4 or $140 as the case may be gives a profit of zero.

Answer:

5 helmets

31 caps

8.25, 16.50 24.75 33 x 10 = 330

330/2 = 165 = 20 helmets

363.50 - 165 = 198.50

5 x 21.50 = 107.50 (+ 11 x 8.25 = 16.50+24.75 +24.75+24.75 = 49.50+41.25) =£91 + 107.50 =  198.50

20+11 = 31

31 caps

5 helmets

Step-by-step explanation:

There are 10 helmets did the coach purchase.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A baseball coach purchased a total of 28 helmets and caps.

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Let number of helmets = x

And, Number of caps = y

Here, A baseball coach purchased a total of 28 helmets and caps.

Hence, We get;

⇒ x + y = 28  ..(i)

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Hence, We get;

⇒ 21.50x + 8.25y = 363.50

⇒ 5 (4.30x + 1.65y) = 5 × 72.7

⇒ 4.30x + 1.65y = 72.7  .. (ii)

Multiply by 4.30 in (i) ad subtract from (ii);

⇒ 4.30x + 4.30y - 4.30x - 1.65y = 120.4 - 72.7

⇒ 2.65y = 47.7

⇒ y = 18

And, From (i);

⇒ x + y = 28

⇒ x + 18 = 28

⇒ x = 10

Hence, Number of helmets = 10

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Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

[tex]^{a}n = ^{a}1 (n - 1)d[/tex]

Since we want to determine the 76th term, we are going

to substitute 76 in for n in our explicit formula.

Then, [tex]^{a}1[/tex] will be our first term in our sequence which is 17.

Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have [tex]^{a} 76 = 17 + (76 - 1)(2)[/tex].

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have [tex]^{a} 76 = 17 + (75)(2)[/tex].

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have [tex]^{a} 76 = 17 + 150[/tex].

Now just add to find that [tex]^{a} 76 = 167[/tex].

So the 76th term is 167.

Answer:

-7.5

Step-by-step explanation:

Simplify

-4b - 5 + 2b = 10

-2b - 5 = 10

-2b = 15

b = -7.5

Answer:

-7.5

Step-by-step explanation:

-4*- 7.5 =30

2*-7.5=   -15

30-5-15=10

Answer:

b,c,d

Step-by-step explanation:

I just did the assignment

Answer:

b, c. d

Step-by-step explanation:

Answer:

49 cm²

Step-by-step explanation:

The area for a square is Area = length x width, and if the square name tag is 7cm long on "each side", that means that both the length and the width are 7cm.

Plug this into the formula to get A = 7cm x 7cm.

This can be simplified to A = 49cm².

Answer: 49 cm^2

Step-by-step explanation:

7 x 7 = 49

Answer:

Step-by-step explanation:

Dear Mrs.Rappa,

I don't know much about this but i do know that saving accounts are risky and she should just set up a checking. Because it's proven that you'll take the risk of losing value in your money. And you take a risk, but to help you more i need to know about what the 5% 7 means. if i do know what it's means, but the 5% is good, it's compound interest which means you get more money on that interest It grows, but as far as the 7 goes, IDK. but the saving %"s are good like yay money, but she takes the risks. So why the risk is there is because of the stock market, and also because the bank takes other clients money for them to pay other client's. So a risk in 7yrs.  

                                                       Sincerely,

                                                           First name Last name Here

Answer:

B is correct

You can double check it! :)

Hope this helps!

Tips:

Select a condition, check the 4 tables and eliminate 2 tables at once.

Then check the remaining 2 tables.

:)

Answer:

B. W

Step-by-step explanation:

College & university: 6

College & not university: 17

Not college & university: 28

Not College & not university: 9

Answer:

f(1) = 36

f(n) = f(n-1) - 5.

Step-by-step explanation:

f(1) = 41 - 5 = 36.

f(n) = f(n - 1) - 5.