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3 years ago

Please answer question 11

Mathematics

1 answer:

irinina [24]3 years ago

6 0

Answer:

I'm pretty sure it's 4

Step-by-step explanation:

association property of addition involves well addition and that's what it shown in y+0=y

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You have 4 reindeer, Bloopin, Balthazar, Gloopin, and Prancer, and you want to have 3 fly your sleigh. You always have your rein

Ivahew [28]

Answer:

P43=4!(4–3)!=241=24

Step-by-step explanation:

There are four choices you can make for the lead reindeer. For each possible choice, there are then three remaining you can choose to fly second, making 4×3=12 choices for the lead pair. For each possible choice there are two remaining reindeer to take up the back position, making 12×2=24 choices for the team of three.

This type of problem is called a permutation problem, and we write Pnr for the number of ways of choosing r items from n possibilities when the order of the items matters. In this case we are choosing 3 reindeer from 4 possibilities, and the order they appear in the flying line does matter, so the answer we want is P43. The general formula is Pnr=n!(n−r)!. For the answer we are looking for we therefore have:

P43=4!(4–3)!=241=24

7 0

4 years ago

The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the s

katrin2010 [14]

Answer:

ΔABC is a right triangle

length of the concession stand = 42.4 ft (nearest tenth)

Step-by-step explanation:

Given:

Side length of square A = 30 ft
Side length of square B = 40 ft
Side length of square C = 50 ft

We can use Pythagoras' Theorem to prove if ΔABC is a right triangle.

Pythagoras' Theorem: a² + b² = c² (where a and b are the legs, and c is the hypotenuse of a right triangle)

Given:

a = side length of square A = 30
b = side length of square B = 40
c = side length of square C = 50

⇒ a² + b² = c²

⇒ 30² + 40² = 50²

⇒ 900 + 1600 = 2500

⇒ 2500 = 2500

Therefore, ΔABC is a right triangle

To find the diagonal of square A, use Pythagoras' Theorem:

Given:

a = side length of square A = 30
b = side length of square A = 30
c = diagonal of square A

⇒ a² + b² = c²

⇒ 30² + 30² = c²

⇒ 900 + 900 = c²

⇒ c² = 1800

⇒ c = √(1800)

⇒ c = 42.42640687

Therefore, the length of the concession stand (diagonal of square A) is 42.4 ft (nearest tenth)

5 0

2 years ago

Ella invested $2,700 in an account paying an interest rate of 5.4% compounded

Dmitry [639]

Answer:

The account will take 7 years to reach a value of $4,020

Step-by-step explanation:

Compound Interest

When it occurs interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

$A=P\left(1+{\frac {r}{n}}\right)^{nt}$

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Ella invested P=$2,700 in an account with an interest rate of r=5.4% (0.054) compounded monthly. Since there are 12 months in a year, n=12.

It will be calculated when will the account have a value of A=$4,020. Substituting all the values in the formula:

$4,020=2,700\left(1+{\frac {0.054}{12}}\right)^{12t}$

Calculating:

$4,020=2,700\left(1.0045)^{12t}$

Dividing by 2,700:

$\frac{4,020}{2,700}=\left(1.0045)^{12t}$

To solve this equation for t, we need to apply logarithms:

$\log\frac{4,020}{2,700}=\log\left(1.0045)^{12t}$

Applying the logarithm power rule:

$\displaystyle \log\frac{4,020}{2,700}=12t\log 1.0045$

Dividing by 12log 1.0045:

$\displaystyle t=\frac{\log\frac{4,020}{2,700}}{12\log 1.0045}$

Calculating:

t= 7.39 years

Rounding to the nearest year, the account will take 7 years to reach a value of $4,020

3 0

3 years ago

Read 2 more answers

Eight year old Alex is learning to ride a horse. The trainer says that a horse ages 5 years for every 2 human years. The horse i

olga nikolaevna [1]

Answer:

Alex is 8 -- Horse is 50

Alex is 8-8 = 0 -- Horse is 50-8 = 42 years old

8 0

4 years ago

Evaluate the function for the given value. f(-3) if f(x) = 4x 2 + 7x

Natasha_Volkova [10]

Answer:

x = 15

Step-by-step explanation:

f(x) = 4x² + 7x

= 4(-3)² + 7(-3)

= 36 + (-21)

= 15

3 0

4 years ago