Which of the following expressions is equivalent to the expression 42+90?


A. 6(7+14)

B.6(7+15)

C.7(6+12)

D.6(36+84)

Answer:

We have the expression:

(n + 2)^2 - (n - 2)^2

Let´s break the parentheses:

(n + 2)^2 = n^2 + 4*n + 4

(n - 2)^2 = n^2 - 4n + 4

Then:

(n + 2)^2  - (n - 2)^2 = (n^2 + 4*n + 4) - (n^2 - 4n + 4) =

                                 = (n^2 - n^2) + (4 - 4) + (4n - (-4n)) = 4n - (-4n) = 8*n

Then for any natural value of n, 8*n will be a multiple of 8.

Answer

a. 0.856

b. 0.78071

c. It is not unusual

d. 13.65 years old

Step-by-step explanation:

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years.

We solve this question using z score formula:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a. Find the probability that a cat will live to be older than 14 years.

For x > 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x<14) = 0.144

P(x>14) = 1 - P(x<14) = 0.856

b. Find the probability that a cat will live between 14 and 18 years.

For x = 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x = 14) = 0.144

For x = 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x = 18) = 0.92471

The probability that a cat will live between 14 and 18 years is calculated as:

P(x = 18) - P(x = 14)

0.92471 - 0.144

= 0.78071

c. If a cat lives to be over 18 years, would that be unusual? Why or why not?

For x > 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x<18) = 0.92471

P(x>18) = 1 - P(x<18) = 0.075288

Converting this to percentage:

0.075288 × 100 = 7.5288%

Hence, 7.5288% of the cats live to be over 18 years. Hence, it is not unusual.

d. How old would a cat have to be to be older than 90% of other cats?

From the question above, 10% of the cats would be older than 90% of other cats.

Hence, we find the z score of the 10th percentile

= -1.282

Hence,

-1.282 = x - 15.7/1.6

Cross Multiply

-1.282 × 1.6 = x - 15.7

- 2.0512 = x - 15.7

x = 15.7 -2.0512

x = 13.6488 years old

Approximately = 13.65 years old

Answer:

there is a formula for a hexagon ..  it's

Area = 3[tex]\sqrt{3\\}[/tex]/2 * [tex]length^{2}[/tex]

where length is the length of one side, assuming all sides are equal

Step-by-step explanation:

3*[tex]\sqrt{3}[/tex]/2= 7.348469228.........

since the length is 10...   the length squared is 100

then the total area of the hexagon is 734.8469228...... [tex]units^{2}[/tex].. what ever they are

if you want to work with some concepts.. you could also say that a hexagon is just a box with the corners cut off and the triangles that are missing are the equilateral right triangles with a hypotenuse of 10 .  and since 2 pieces of those triangles make a square.. you can subtract two squares of that size from the bigger box that the hexagon fits into.  this is a long way to figure this out but might be good for trigonometry practice   :)

it will also be 734.8463288.....  see if you can work that out :)

Answer:

y = -1/2x + 4

Step-by-step explanation:

I got -1/2x because for every 2 spaces, the line goes down 1 (rise/run)

I got +4 because 4 is where x = 0, or the y intercept

Answer:

the first option

Step-by-step explanation:

Answer:

hmm.......i think it's 11

it might be 2

no 11

ehh maybe 11

oh my god

so uhmmmmmm

it's either 11

or it's 2

im having a mental crisis

Answer:

$16.80

Step-by-step explanation:

Since the shirts are marked down by 30%, you need to multiply the cost of the shirt by the percentage.

$24 × 0.3 = $7.20

Next, subtract the discount from the original price to find the discounted price.

$24 - $7.20 = $16.80

Answer:

look up on math..way:)

Step-by-step explanation:

Answer:

A⊂B is the false

Step-by-step explanation:

because there are elements in A not exist in B

Answer:

A is the subset of B

is the false statement.

Answer: 75.1

Step-by-step explanation:

Answer:

86.0*

Step-by-step explanation:

i am not 100% sure

Answer:

1000

Step-by-step explanation:

Step-by-step explanation:

abx² - (a⁴ + b⁴)x + (a³b³) = 0

(ax - b³)(bx - a³) = 0

Therefore x = b³/a or x = a³/b.

Answer:

319.872

Step-by-step explanation:

319.872 / 384 = 83 1/3 / 100

Final Answer: [tex]320[/tex]

Steps/Reasons/Explanation:

Question: Find [tex]83\frac{1}{3}[/tex]% of [tex]384[/tex].

Step 1: Convert mixed fraction into improper fraction.

[tex]\frac{250}{3}[/tex]

Step 2: Multiply [tex]\frac{250}{3 * 100}[/tex] with [tex]384[/tex].

[tex]\frac{96000}{300}[/tex]

Step 3: Simplify

[tex]320[/tex]

~I hope I helped you :)~

Answer:

Step-by-step explanation:

A. 40:80

B: 80/40

C; 40: 120

D: 80:120 ;)

Answer:

x = 0, y = -1

Step-by-step explanation:

Answer:

520 feet

Step-by-step explanation:

The area=16900

Area formula=b^2

b^2=16900

square root of 16900=130

130*4=520

the answer is effect

Answer:

this a effect you can change the change the water

Answer:

d. $16.

Step-by-step explanation:

3 members (m) + 4 nonmembers (n) = $79

nonmembers = $11 more or n=m+11 so...

3m + 4(m+11)=79   [replace "n" with "m+11"]

3m + 4m + 44=79

7m + 44 = 79

7m=35 and reduced m=5 so members pay $5 and nonmembers pay 5+11=$16

Answer:

0.064

Step-by-step explanation:

Hope this helps!

Answer:

Sam is wrong.

Step-by-step explanation:

A diagonal of square or rectangle is equals to hypotenuse of a triangle. So you can apply Pythagoras Theorem to solve it :

Given that QS is 17.9 and OM is 11.3. So SQ is not 2 times greater than OM.

Answer:

slope: 2.7

y-intercept: (0,8)

Step-by-step explanation:

In the form y = mx + b, m is the slope and b is the y-intercept.

Answer:

m= 1; (0, 3)

Step-by-step explanation:

jus bc

Answer:

25/6 = 4 1/6

Step-by-step explanation:

what you do is 5/6 times 5 i am pretty sure this is right

Answer:

B. 4 1/6

Step-by-step explanation:

1. Identify your key factors:

Terrance: 5

Brother: 5/6

2. Let's make them both fractions:

T: 30/6  B: 5/6

3. Now subtract the difference:

30/6-5/6

25/6

4. Simplify:

4 1/6

Answer:

Vertex: (5,12)

Axis of Symmetry: x=5

Domain: (-infinity, +infinity)

Range: [12, +infinity)

Step-by-step explanation:

The value of the 5,700 milligrams in pounds is approximately 0.01 lb

A unit of measurement is a specified magnitude of a quantity that is accepted and adopted by convention or backed by law, and used as a measurement standard.

In other to successfully convert a quantity in one unit to another unit, both units (initial and destination unit) should refer to the same characteristics of the object being measured.

Once both units are confirmed to refer to the same quantity, conversion factors are used to multiply the quantity in the first unit in order to express it in the other unit.

The given parameters are;

The quantity to be converted to pounds = 5,700 milligrams

The factor of conversion is 1,000 mg ≈ [tex]2.205 \times 10^{-6}[/tex] lb

Therefore;

[tex]5,700\: mg = 5,700 \times 2.205 \times 10^(-3) ≈ 0.0126[/tex]

Therefore, to the nearest hundredth, we have;

5,700 mg ≈ 0.01 lb

Learn more about unit conversion in mathematics here:

https://brainly.com/question/141163

#SPJ1

Answer:

(105 x 30) + (105 x 5) + m

Step-by-step explanation:

Answer:

(105 x 30) + (105 x 5) + m

Step-by-step explanation:

Hope this helped have an amazing day!