PLZ HELP Which of the following is a true statement?

A. Total Liabilities − Total Assets = Net Worth
B. Total Assets − Total Liabilities = Net Worth
C. Total Assets + Total Liabilities = Net Worth
D. None of these are true.

Hi there! Use the difference of two squares formula below:

[tex] \large \boxed{ {x}^{2} - {y}^{2} = (x + y)(x - y)}[/tex]

You need to know that what number times itself and get 16. 16 comes from 4×4 or 4².

Then,

[tex] \large{ {x}^{2} - 16 = (x + 4)(x - 4)}[/tex]

[tex] \large{(x + 4)(x - 4) = 0}[/tex]

Solve the equation for all real values of x.

[tex] \large{x = 4, - 4}[/tex]

If you don't like using a formula. You can do this:

[tex] \large{ {x}^{2} - 16 = 0} \\ \large{ {x}^{2} = 16} \\ \large{x = \pm \sqrt{16} } \\ \large{x = \pm 4}[/tex]

If you remember the square root well, the square root of 16 is 4×4. Pull out the two 4's and thus the square root of 16 is 4.

For the square both sides method above (second method), we can define that:

[tex] \large \boxed{ \large{ {x}^{2} = a \longrightarrow x = \pm a }}[/tex]

Answer

1. 40°

2. 50°

3. 45°

4. a. draw a line from angle P to downward but make it so it can cut angle OPQ from the half

b. 70°

c. angle TPQ = angle OPQ ÷2

angle TPQ = 140÷2= 70°

I dont know Im sorry

Step-by-step explanation:

I just want points in not that smart

Answer:

54°

Step-by-step explanation:

54°

Answer:

the missing angle is 54

Step-by-step explanation:

so first we need two triangle angles to get our measurement and we know straight lines add up to 180 so

180-123=57

57+69(other angle)=126

all triangle angles add up to 180 so subtract the two other angles to get your result

180-126=54

54 is your anwser

Answer:

A. 0.75

B. Elsa can expect to gain 0.75 dollars

Step-by-step explanation:

We have six outcomes

Using the table in the attachment, the expected value was calculated.

Expected value = 0.166667+0.3333+0.5-0.083333-0.083333-0.083333

= 0.75

B. From the answer in part A , we can conclude that Elsa can expect to gain money. She can expect to win 0.75 dollars per roll.

Answer: Rs 7600

Step-by-step explanation:

The interest will be calculated as:

= Principal × Rate × Time

= 40000 × 5% × 4

= 40000 × 0.05 × 4

= 8000

Since he has to pay 5% of the total interest as tax for the bank, the amount that he will he get after 4 years will be:

= 8000 - (5% × 8000)

= 8000 - (0.05 × 8000)

= 8000 - 400

= 7600

Therefore, he'll get Rs 7600

Answer:

0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean score of 501 points, and a standard deviation of 85 points.

This means that [tex]\mu = 501, \sigma = 85[/tex]

What is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs?

This is 1 subtracted by the p-value of Z when X = 600. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{600 - 501}{85}[/tex]

[tex]Z = 1.165[/tex]

[tex]Z = 1.165[/tex] has a p-value of 0.878.

1 - 0.878 = 0.122

0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.

9514 1404 393

Answer:

  1/2 + 1/6

Step-by-step explanation:

  2/3 = 1/2 + 1/6

__

The sum of unit fractions is called an Egyptian Fraction. There are several different algorithms for finding such a sum. Here, we are starting with the form ...

  2/p

where p is a small prime. Then the sum can be written as ...

  1/((p+1)/2) +1/(p(p+1)/2) = 1/(4/2) +1/(3(4/2)) = 1/2 + 1/6

A different algorithm is used when p is a composite number.

__

Using the "greedy" algorithm, we can find the largest unit fraction less than 2/3 to be ...

  1/ceil(3/2) = 1/2

Then the largest unit fraction in the remainder is similarly found. The remainder is ...

  2/3 -1/2 = 1/6 . . . . already a unit fraction

So, the sum is ...

  2/3 = 1/2 + 1/6

Answer:

the correct answer is option B

Answer:

DE

Step-by-step explanation:

You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.

Answer:

its nothing 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/8 or 1/3 if you round it.

Answer:

A(-3,4) B(1,-8)

y-y1/x-x1 =y2-y1/x2-x1

y-4/x--3 = -8-4/1--3

y-4/x+3 = -12/1+3

y-4/x+3 =-12/4

y-4/x+3 = -3

y-4 = -3(x+3)

y-4=-3x-9

y+3x +9-4=

y+3x+5=0

Answer:

y = -3x - 5

Step-by-step explanation:

-3, 4 and 1, -8

1 - -3 = 4

-8 - 4 = -12

[tex]\frac{-12}{4}[/tex] = [tex]\frac{-3}{1}[/tex] = -3

gradient/slope = -3

now substituting in the point -3, 4 to find the y intercept:

4= -3 x -3 + c

4 = 9 + c

-5 = c

y intercept = -5

equation is y = -3x - 5

Answer:

175,760,000 different California license plates can be made.

Step-by-step explanation:

Possible outcomes for each number of letter:

10 numbers(from 0 to 9) and 26 letters.

Format of the plate:

Number - letter - letter - letter - number - number - number

The numbers of possible outcomes are:

10 - 26 - 26 - 26 - 10 - 10 -10

How many different plates?

We multiply these values. So

10*26*26*26*10*10*10 = 175,760,000

175,760,000 different California license plates can be made.

Answer:

I believe the answer is D

Step-by-step explanation:

Mars is approximately 940 times farther away from Earth than the Moon.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

Mars is on average 2.25 x 10⁸ miles away from Earth.

The moon is on average 2.388 x 10⁵ miles away from Earth.

To calculate the answer, we need to divide the distance from Mars to Earth by the distance from the Moon to Earth. This gives us:

2.25 x 10⁸ miles / 2.388 x 10⁵ miles = 942.42

Rounded to the nearest whole number, this means that Mars is approximately 940 times farther away from Earth than the Moon is.

Therefore, the answer is D) 940 times.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ6

Answer:

Number of tile need = 300 tiles

Step-by-step explanation:

Given:

Dimensions of floor = 3 m by 4 m

Perimeter of square tile = 80 cm

Find:

Number of tile need

Computation:

Perimeter of square tile = 4(Side)

80 = 4(Side of tile)

Side of tile = 80 / 4

Side of tile = 20 cm

Side of tile = 0.2 meter

Area of tile = 0.2 x 0.2

Area of tile = 0.04

Area of floor = 3 x 4

Side of tile = 12 square meter

Number of tile need = 12 / 0.04

Number of tile need = 300 tiles

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.

The margin of error is of:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation was 0.21.

This means that [tex]\sigma = 0.21[/tex]

Sample of 450:

This means that [tex]n = 450[/tex]

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.037\frac{0.21}{\sqrt{450}}[/tex]

[tex]M = 0.01[/tex]

The margin of error is of 0.01.

Given :

A man 1.30 m tall is on a top of a building. He observed a car on the road at an angle of 60 degrees if the building is 30 m high.

To Find :

How far is the car from the building.

Solution :

Let, distance between car and the building is x m.

So,

[tex]tan \ \theta = \dfrac{height\ of\ building + height\ of\ man}{distance \ between \ car \ and \ building}\\\\tan \ 60^o = \dfrac{30+1.3}{x}\\\\x = \dfrac{31.3}{1.73}\ m\\\\x = 18.09\ m[/tex]

Hence, this is the required solution.

Answer:

Step-by-step explanation:

the surface area = area of the 4 faces+ area of the 2 bases

4 *(15*8) + 2*( 8*6) = 480+96 = 576 cm²

if the length  of the faces tripled, the two bases remain unchanged because the prism just gets taller on the same bases.

Answer:

If its x^2 + 3x - 1 it is not a factor.

Step-by-step explanation:

x^2+3x - 1  is a factor of x^3+2x^2-5x-6​?

Try dividing:

x^2+3x - 1 ) x^3 + 2x^2 - 5x - 6​( x - 1

                  x^3 + 3x^2 - x

                          - x^2  -4x - 6

                          -x^2 - 3x + 1

                                   - x - 7  <------- remainder.

Answer:

1,000 meters

Step-by-step explanation:

Answer:

A. 3/8*2=6/8

Step-by-step explanation:

Think about a whole number as (whole number)/1

(2/1)

Then multiply

3/8*2/1=6/8

Hope that helps!

Answer:

The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.

The equivalent angle on the third quadrant is 214º.

The equivalent angle on the fourth quadrant is 316º.

Step-by-step explanation:

On the first quadrant:

The equivalent in the second quadrant of a angle on the first quadrant a is 180 subtracted by the angle, that is, 180 - a.

In this question, the reference angle is 146º, which is on the second quadrant.

So, on the first quadrant:

146 = 180 - a -> a = 180 - 146 = 44.

The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.

Third quadrant:

The equivalent angle on the third quadrant is 2 multiplied by 180 and subtracted by the second quadrant angle. So

2*180 - 146 = 360 - 146 = 214º.

The equivalent angle on the third quadrant is 214º.

Fourth quadrant:

The equivalent angle on the fourth quadrant is 360 subtracted by the angle on the first quadrant. So

360 - 44 = 316º

The equivalent angle on the fourth quadrant is 316º.

Answer:

n=-17

Step-by-step explanation:

8(2n-5)=3(6n-2)

1) Distributive property

16x-40=18x-6

16x−40=18x−6

2) Subtract 16x16x from both sides.

-40=18x-6-16x

−40=18x−6−16x

3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.

-40=2x-6

−40=2x−6

4) Add 66 to both sides.

-40+6=2x

−40+6=2x

5) Simplify -40+6−40+6 to -34−34.

-34=2x

−34=2x

6) Divide both sides by 22.

-\frac{34}{2}=x

−

2

34

=x

7) Simplify \frac{34}{2}

2

34

to 17

−17=x

8) Switch sides.

x=−17

Step-by-step explanation:

This system of election result forecast is called a non-representative poll with a high percent margin of error. and used as an alternative to an expensive and tedious representative poll system.

Non-representative polls can be used to produce accurate electoral predictions and may frequently be done faster and cheaper than typical survey procedures.

Not just for the election forecasts, but also for public opinion on a wide variety of social, economic, and cultural topics, non-representative polling appears promising.

Answer:

600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes

120 cakes could be made with 1 kg of butter

Step-by-step explanation:

Here, 72 cakes = 6 dozen cakes

( since 12 cake = 1 dozen cake ).

a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).

• Butter - 150/1.5 = 100 g per dozen

For 6 dozen :

100g x 6 = 600 g

• Flour - 500/1.5 = 333.33 g per dozen

For 6 dozen :

333.33 g x 6 = 2000 g

• Sugar - 50/1.5 = 33.33 g per dozen

For 6 dozen :

33.33 x 6 = 200 g

• Currants - 100/1.5 = 66.67 g per dozen

For 6 dozen :

66.67 x 6 = 400 g

b. It is given that,

150g butter is required to make = 18 cakes

Then by using unitary method, we get,

1 g of butter is required to make = 18/150 cakes

Since, 1 Kg = 1000 g

Then,

1000 g of butter is required to make = (18/150) × 1000

= 120 cakes

Hence, with 1 kg of butter 120 whole cakes can be made.

Hope this answer helps you :)

Have a great day :)

Mark brainliest

Answer:

your awnser would be [4, −6]

Step-by-step explanation:

hope this helps

Answer:

Here's What you do:

There's a picture attached on how a perpendicular lines should look like.

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation: