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By completing the square, the expression [tex]\sf{x^2-12x+101}[/tex] equals (x+A)^2+B

where A = (Blank)

and B = (Blank)


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Answer:

500 x 4

500 x 4

5 x 4 =

20

Add the two 00's from 500.

You get 2,000.

Step-by-step explanation:

Well, we can focus on the number 5 from 500 and multiply it by 4 to receive the answer of 20 because we can assume the person solving this question knows simple multiplication factors and how to solve 5 times 4. Then, we can add the two zeros from the 500. Thus, it's 2,000.

Hope this helps.

Answer:2,000

Step-by-step explanation:

500x4

take the zeros  

5x4=20

then add the zeros

it will be 2,000

Answer:

Step-by-step explanation:

1) Distribute the numbers outside of the parenthesis to the numbers inside the parenthesis. This means multiple the outside number to all the numbers that are inside the parenthesis:
-5+25k-8k-20

2) Combine the like terms. The number with k get combined together since they both have a k. The numbers without a k get combined together. When you combine, you ADD the numbers together.

-13k+5

That should be right!

Greetings from Brasil...

Checking the side limits of the function f(x), we find that they are equal, so there is a limit of f(x) as x approaches 4

check the attachment

Answer:

17 + 2m

Step-by-step explanation:

Sum means 'The answer to a Addition equation' So it must be adding ( + )

Twice Matts score can be written in many ways but the simplest being 2m (2 x m) Or you could write m + m

Add 17 so therefore the answer must be:

17+2m

OR

17 + m + m

The area of the drawing of the park is 64 cm²;

Scale: Square park to Drawing = 5m:1cm

                                                 = 5m:0.01m;

Therefore; Square Park Area = 1600m²;

                 Drawing Area = 1600 ×(0.01/5)²

                                        = 0.0064m² = 64 cm²

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Answer:7 x 10 ^1 is the right answer

Step-by-step explanation:

Hope this helps :)

There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.

To determine the number of times smaller is the bacterial cell than the amoeba cell.

⇒ amoeba cell / bacterial cell

⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m

Apply the division operation, and we get

⇒ 0.7 × 10⁻⁴ × 10⁶

Adding the exponents of the above terms

⇒ 0.7 × 10⁻⁴⁺⁶

⇒ 0.7 × 10²

⇒ 7 × 10¹

Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.

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Simplifying  the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared is: c. 74.

The given expression:

(10 - 3/4 × ✓16)² + (2 - 7)²

Hence,

Now let simplify the expression

(10 - 3/4 × ✓16)² + (2 - 7)²

=(10 - 3)² + (-5)²

= 7² + 5²

= 49+ 25

= 74

Therefore simplifying  the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared is: option c. 74.

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The z-score of the baby's height is -2.0.

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Answer: H=2A/B

H=12 cm

Step-by-step explanation:

A = 1/2BH

2A=BH

H=2A/B

H=2(90)/15

H=180/15

H=12 cm

The height of the triangle is 12 cm.

To solve the formula A = (1/2)BH for H, we need to isolate the variable H.

A = (1/2)BH

Multiply both sides of the equation by 2 to eliminate the fraction:

2A = BH

To solve for H, divide both sides of the equation by B:

H = 2A / B

Now we have the formula for H in terms of A and B.

To find the height of a triangle with an area of 90 cm² and a base of 15 cm, we can substitute these values into the formula:

H = 2(90) / 15

H = 180 / 15

H = 12 cm

Therefore, the height of the triangle is 12 cm.

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Answer:

at this point just hack it

Answer: 848000

Step-by-step explanation:

(2 x 10³) x (4 x 106)

⇒2000 * 424
⇒ 848000

Answer:

f(6) = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

substitute x = 6 into f(x)

f(6) = [tex]\frac{6^2-4(6)}{20}[/tex] = [tex]\frac{36-24}{20}[/tex] = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]

a) The greatest common factor is 3. And the result is 3 × (6 + 7).

b) The greatest common factor is 7. And the result is 7 × (8 + 5).

In this question we must find the greatest common factor, that is, the maximum integer with which can be divided the two number, and take advantage of this result to simplify the sum of the same two numbers, if possible.

First, we proceed to determine the required results for each of the two cases:

18 = 2 × 3 × 3

21 = 3 × 7

Then, the greatest common factor is 3. The complete procedure is:

18 + 21 = 2 × 3 × 3 + 3 × 7 = 3 × (6 + 7)

56 = 2³ × 7

35 = 5 × 7

Then, the greatest common factor is 7. The complete procedure is:

56 + 35 = 2³ × 7 + 5 × 7 = 7 × (8 + 5)

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Answer:  36. Substitute: - 32 - 6 * - 3 + 9 Remove the parentheses: 32 + 6 * 3 + 9 Calculate the power:9 + 6 * 3 + 9.

Step-by-step explanation: I hope this help

Answer:

= 1

Step-by-step explanation:

m² + 6m + 9

m = -4

= -4² + 6*-4 + 9

= 16 -24 + 9

= 25 - 24

= 1

37.375 kg of peanuts must be added to the 4 kg of mixed nuts to make a mixture containing 92 % of peanuts.

Total mixture of mixed nuts = 4 kg

60 % of them are peanuts.

So, we will calculate the percentage:

Let x be the amount of peanuts.

60 / 100 x = 4 kg

0.6 x = 4 kg

x = 4 kg / 0.6

x = 6.67 kg

Now let the peanuts added be y

So, 92 % of ( 4 kg + y )  should be peanuts.

So, we get the equation as:

0.92 ( 4 ) + 0.92 y = 6.67 + y

3.68 + 0.92 y = 6.67 + y

0.08 y = 2.99

y = 37.375 kg

Therefore, 37.375 kg of peanuts must be added to the 4 kg of mixed nuts to make a mixture containing 92 % of peanuts.

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Answer:

21.6 miles

Step-by-step explanation:

59-15.5-21.9= 21.6

or

21.6+15.5+21.9= 59

The perimeter of square STUV is 32.98 units

From the question, we are to calculate the perimeter of the given square.

To do this, we will determine one side length of the given square

The length of a side is the distance between the two end points

Using the points U and T

U(-7, 9) and T(1, 7)

Using the formula for the distance between two points

d = √(x₂ - x₁)² + (y₂-y₁)²

x₁ = -7

y₁ = 9

x₂ = 1

y₂ = 7

Thus,

The distance, d, between the points is

d = √(1 - -7)² + (7-9)²

d = √(1 +7)² + (-2)²

d = √(8)² + 4

d = √64+ 4

d = √68

d = 8.2462

This means the length of each side of the square is 8.2462 units

l = 8.2462 units

The perimeter, P, of a square is given by

P = 4l

P = 4 × 8.2462

P = 32.9848

P ≈ 32.98 units

Hence, the perimeter of square STUV is 32.98 units

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Answer:

True

Step-by-step explanation:

Both fractions simplify to 1/5 and thus are equivalent

Answer:

x + 8 = 53

Step-by-step explanation:

x + 8 = 53

8 more than x is x + 8 because ur adding 8 more to x. And that is equal to 53 because it literally says IS EQUAL to 53. therefore.

to solve isolate x by subtracting 8 from both side so:

x = 53-8

x = 45

Answer: f(3)=2

Step-by-step explanation:

f(x) = 2x - 4

f(3) =2(3) - 4

f(3) = 6-4

f(3)=2

The cases that would be shipped is 4.

The first step is to convert pounds to ounce

1 pound = 16 ounce

16 x 72 = 1152 ounces

The next step is to determine how many boxes would be needed.

Boxes needed = 1152 / 12 = 96 boxes

The third step is to determine the number of cases that would be shipped.

Cases that would be shipped = 96 /24 = 4

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Answer:

102°

Step-by-step explanation:

540° ÷ 5 = 108° (sum of angles in a 5-sided figure = 540°)

360° ÷ 4 = 90° (sum of angles in a square = 360°)

180° ÷ 3 = 60° (sun of angles in a triangle = 180°)

360° - 108° - 90° - 60° = 102° (angles at a point add up to 360°)

x = 102°

(Do note that dividing the sum of angles by the number of sides is only applicable if all sides are equal.)

Hope this helps! ^^

Answer: 4v

Step-by-step explanation:

If 4 tokens are needed for each video game, then you multiply 4 by the number of video games v.

For example, 3 video games, each requiring 4 tokens, would require a total of 12 tokens. This can be also defined as:

v = 3

4*(3) = 12

2210

Scientific notation is a way to present extremely large or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper. Additionally, a simpler method of representation was required for the numbers that appear at the millions place after the decimal. This makes it challenging to represent a small number of integers in their enlarged form. We therefore employ scientific notations.

Expanding the term,

2.21 x 1000 = 2210

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Answer:

Put S=(1,-10) R(-10,-8) T(-8,-9) Make sure to put a ´ after these letters when you put them down

Step-by-step explanation:

Answe

G=1.5

Step-by-step explanation:

Answer:

the answer is two because ur multiplying hope this helps

The greatest possible containers required by Kiara is 4.

The number of oatmeal and chocolate chip cookies in each container is 3 and 4 respectively.

For the given question;

The total number of oatmeal cookies = 12.

The total number of chocolate chip cookies = 16.

Taking the HCF of 12 and 16 (the largest multiple pf 12 and 16).

HCF = 4.

Thus, the number of boxes requires is 4.

The oat place in one box is 3. In 4 boxes it will be 12.

Similarly, the chocolate chip cookies placed in one box is 4. In 4 boxes it will be 16.

Thus, the oat placed in each box is 3 and the chocolate chip cookies placed is 4.

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Answer:

$258

Step-by-step explanation:

y = mx + b  

m is the miles and y is the total cost

y = .1(800) + 250

y = 8 + 250

y = 258

Let the terms be a, ar, ar², ...

The sum to infinity being 27 means that:

[tex]\frac{a}{1-r}=27 \implies a=27(1-r)[/tex]

The sum of the first two terms being 15 means:

[tex]a+ar=15 \\ \\ (27-27r)+r(27-27r)=15 \\ \\ 27-27r+27r-27r^2 =15 \\ \\ 27r^2 -12=0 \\ \\ 27r^2 =12 \\ \\ r^2=\frac{12}{27}[/tex]

Since all the terms are positive, r>0.

[tex]\boxed{r=\frac{2}{3}} \\ \\ \implies a=27\left(1-\frac{2}{3} \right)=\boxed{9}[/tex]