why is completing the square called 'completing the square'?

Answer:

1.8

Step-by-step explanation:

We want  3% of 60 = 0.03 * 60 = 1.8

Answer:

The sample would double in 9 hours

Step-by-step explanation

The number of hours it will take for the sample to double can be found using the 72 rule.

The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:

number of hours =72/8=9 hours

The number of hours it would take the sample to double is 9 hours as computed above.

Answer

the answer for this question is 31/99

x = 0.3131313...

100x = 31.31313...

99x = 31

x = 31/99

Answer:

224 pages total

Step-by-step explanation:

To find how many total pages, you have to multiply the number of sections by the number of pages in each section. 14 sections times 16 pages per section equals a total of 224 total pages.

Answer:

Step-by-step explanation:

Greatest common factor of 4d and 8 is 4

4d + 8 = 4d + 4*2

          =4(d + 2)

Answer:

[tex]549.8cm^{3}[/tex]

Step-by-step explanation

identify the variables - h = 7                       d = 10

radius is half of the diameter -         r = 5

V = πr2h use volume of a cylinder formula

V = π(5) (7) substitute variables into formula

V = 549.778714378 multiply

V = [tex]549.8cm^{3}[/tex] round to the nearest tenths place

Final answer:

To find the volume of a cylinder with a given height and base diameter, you need to use the formula V = πr²h. In this case, with a base diameter of 10 cm and a height of 7 cm, the volume is 275.75 cm³.

Explanation:

In this case, we are dealing with the volume of a cylinder with a given height and base diameter. The formula to find the volume of a cylinder is V = πr²h, where r is the radius and h is the height.

Given the base diameter of 10 cm, the radius (r) is half of the diameter, so r = 5 cm. Plugging in the values, we get V = 3.142 × (5 cm)² × 7 cm = 275.75 cm³.

Donnie's average test score is 76 for all eight tests. The sum of his seven known test scores is 542. To find the missing score, subtracting this sum from the sum of all eight scores gives a missing test score of 66.

The correct answer is option B.

To find Donnie's score on the missing eighth test, we can use the fact that the average of all eight test scores is 76.

The sum of the eight test scores is 8 * 76 = 608 (since the average is calculated by summing all the scores and dividing by the number of scores).

Now, we know the sum of the seven test scores in his notebook:

71 + 92 + 87 + 75 + 64 + 70 + 83 = 542

To find the missing score, subtract the sum of the known scores from the sum of all eight scores:

608 - 542 = 66

So, Donnie's score on the missing eighth test is 66.

The correct answer is: B) 66

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Answer:

2

Step-by-step explanation:

A 30 60 90 triangle tells us all the sides as long as we know one of the sides. (you can google it and it will show you). Looking at the picture added below, we can solve for j. The x in the picture is j and the 2x in the picture is 4. Thus we know that 2x=4 which means x=2

Answer:

0.42 or 21/50

Step-by-step explanation:

2/100=0.02 or 1/50

4/10=0.4 or 2/5

0.4+0.02=0.42

1/50+2/5=21/50

Answer:

820.125

Step-by-step explanation:

2*4+2/2=9

9*4+9/2=40.5

40.5*4+40.5/2=182.25

182.25 * 4 + 182.25/2 = 820.125

Answer:

32

Step-by-step explanation:

subract the amount he needs by the number he has

There are 32 points will he need to earn on Part 2.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

Kevin is taking a two-part test in social studies.

Part 1 is multiple choice and worth 60 points.

And, Part 2 is an essay portion and worth 40 points.

Here, He must earn at least 86 points to pass the class.

And, His teacher already graded Part 1 and he earned 54 points.

Hence, Number of points will he need to earn on Part 2 is,

⇒ 86 - 54

⇒ 32

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Answer: x = 7.5

Step-by-step explanation:

4x + 41 = 71

Subtract 41 from each side

4x = 30

Divide each side by 4

x = 7.5

Answer:

7.5

Step-by-step explanation:

4x+41 = 71

Subtract 41 from both sides

4x = 30

Divide both sides by 4

x = 7.5

Answer:

I would expect it to change, because experimental probability is based on the experiment unlike theoretical probability which is based in equations.

Step-by-step explanation:

Answer:

No I will never ever help you

To calculate the interest charged on the credit card, subtract the amount paid off from the new cost of the iPhone 11 and multiply it by the interest rate and time. The interest charged is $45. The new total bill will be $545.

To calculate the amount of interest charged on the credit card, we need to find the difference between the new cost of the iPhone 11 ($700) and the amount you paid off ($200). This difference will be the initial principal amount on which interest is charged.

Interest is calculated using the formula: interest = principal x rate x time. In this case, the principal is $500 (the remaining amount owed), the rate is 0.09 (9% as a decimal), and the time is 1 year since the interest is calculated annually for credit cards.

Using this information, we can calculate the interest charged: interest = $500 x 0.09 x 1 = $45.

To find the new total bill, we add the interest charged to the remaining amount owed: new total bill = $500 + $45 = $545.

Answer:

well.....also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

a^2+b^2=c^2

A=side of right triangle

B=side of right triangle

C=Hypotenuse

if i could get brainliest that would be great

Answer:

The sum of the squares of the legs is equal to the Hypotenuse Square.

Step-by-step explanation:

Its very helpful to use the guide A^2 + B^2 = C^2 when doing a problem.

For example - ---------------> A^2 +B^2= C^2

                                           2^2 +3^2 = C^2

                                           4 + 9 =C^2

                                           13 = C^2

                                           [tex]\sqrt{13} = C[/tex]

Hope this helps!!

Answer:

The Answer is D

Step-by-step explanation:

The area of the given triangle would be 44 cm². Hence, option (d) is true.

Used the formula for the area of a triangle,

Area of triangle = 1/2 × Base × Height

Given that,

The triangle ABC is shown in the image.

Here, BC = 11 cm

Tan ∠ABC = 8/11

Used the formula for tan x,

tan x = AC/BC

8/11 = x/11

x = 8 cm

Since, Area of triangle = 1/2 × Base × Height

Base = 8 cm

Height = 11 cm

So, we get;

A = 1/2 × 8 × 11

A = 44 cm²

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Answer:

X = 5

Step-by-step explanation:

x+y=4

x-y=6

Substitute x = 4 - y

4 - y - y = 6

Substitute y for -1

x = 4 - (-1)

x = 5

Answer:

-2 and -8

Step-by-step explanation:

on edge

Answer:

x = -2 and x = -8

Step-by-step explanation:

I don't know if you can see the screenshot but I got it right on edge. Good luck :)

Answer:

a) (x+8) (x-3)

Step-by-step explanation:

the 2 factors of -24 that equal 5 is 8 and -3 because 8×-3 is -24 and 8-3 is 5.

Answer:

CE

Step-by-step explanation:

Just answered the question

[tex]\sin \theta = \dfrac 2 3[/tex]

[tex]\tan \theta < 0[/tex]

Positive sine, negative tangent, means we have a negative cosine.  We're talking about the second quadrant.

[tex]\cos^2 \theta + \sin ^2 \theta = 1[/tex]

[tex]\cos^2 \theta = 1 - \sin ^2\theta[/tex]

[tex]\cos \theta = \pm \sqrt{1 - \sin ^2\theta}[/tex]

We know it's negative,

[tex]\cos \theta = - \sqrt{1 - (2/3)^2} =-\sqrt{5/9} = - \dfrac 1 3 \sqrt{5}[/tex]

Answer: -(1/3)√5

To find the probability that a randomly selected student prefers dogs or is female, we need to add the probabilities of these two events. If we assume that these events are independent, we can estimate the probability by multiplying the probabilities of each event.

To find the probability that a randomly selected student prefers dogs or is female, we need to add the probabilities of these two events. Let's say the probability of a student preferring dogs is P(D) and the probability of a student being female is P(F). Then, the probability that a student prefers dogs or is female, P(D or F), is given by P(D or F) = P(D) + P(F) - P(D and F).

Since we don't have the individual probabilities P(D) and P(F), we can't calculate the exact probability. However, if we assume that these events are independent, we can estimate the probability by multiplying the probabilities of each event.

For example, if the probability of a student preferring dogs is 0.4 and the probability of a student being female is 0.6, then the estimated probability that a randomly selected student prefers dogs or is female would be 0.4 + 0.6 = 1.

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Answer: c

Step-by-step explanation:

20,400

Answer:

100

I want brainliest

Step-by-step explanation:

sqareroot of y -2=8

10-2=8

sqare root 10^2-2=8

y=100

Answer:

y = 100

Step-by-step explanation:

Assuming you mean sqrt(y) - 2 = 8

Add 2 to each side

sqrt(y) - 2+2  = 8+2

sqrt(y) = 10

Square each side

y = 10^2

y = 100

Answer:

Their total budget last year = $44,000

Step-by-step explanation:

Let last year's budget be x

let total budget this year be y

we are given the following information

y = 1000 + x - - -   (1)       (Their total budget this year is $1,000 more than  last                                               year)

7% of y = $3,150

7/100 × y = 3,150

0.07y = 3,150

y = 3,150 ÷ 0.07 = $45,000

Therefore, budget this year = $45,000

from equation 1

y = 1000 + x - - -   (1)

∴ x = y - 1000

x = 45,000 - 1000 = $44,000

Therefore their total budget last year = $44,000

Final answer:

To find the Smiths' total budget last year, divide the amount they plan to spend on entertainment this year ($3,150) by 7% to calculate this year's budget ($45,000), then subtract the $1,000 increase from last year to reach the total budget for last year ($44,000).

Explanation:

To determine the Smiths' total budget last year, we need to work backwards from the amount they plan to spend on entertainment this year, which is $3,150. Given that entertainment costs represent 7% of their total budget, we can calculate their total budget for this year by dividing the entertainment expenditure by 7% (or 0.07). Once we have their budget for this year, we can subtract the $1,000 increase to find their budget for last year.

Let's calculate the total budget for this year:

Total budget this year = $3,150 / 0.07 = $45,000

Now, to find last year's budget, we subtract the $1,000 increase:

Total budget last year = $45,000 - $1,000 = $44,000

Therefore, the Smiths' total budget last year was $44,000.

Answer: 16.8mm2

Step-by-step explanation:

12x1.4=16.8

Answer:

C.  the vertical scale does not start at zero.

Step-by-step explanation:

The bars should  be longer than  they are drawn because the scale does not start at zero. As it is visual comparisons of the different months is misleading.

For example, it looks like the sales for February are about twice the March sales but that is not true.

Answer:

You got down stairs at 7:12, and you ate breakfast and read a book for 30 minutes.

Step-by-step explanation:

6:47 + 25 = 7:12

7:42 - 7:12 = 30 minutes

       Hope this help

Answer:

a. Property 1

b. Property 2

Step-by-step explanation:

In this case, what we will do is say the properties of the equations, which are 4, the following:

Property 1: When a number is added or subtracted to both sides of equality, equality remains.

Property 2: When multiplied or divided by the same number, other than zero, on both sides of equality, equality remains.

Property 3: When both members of equality are raised to a nonzero power, equality remains.

Property 4: When the same root is extracted, on both sides of the equality, equality remains.

In other words, property 1 is used in part a and property 2 is used in part b.

Answer:

A =153.86

Step-by-step explanation:

The diameter is 14

That means the radius is 7

r = d/2 = 14/2 = 7

The area of a circle is

A = pi r^2

A = 3.14 * 7^2

A =153.86