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2 years ago

Name the angle included by the sides PN and Nm

Mathematics

2 answers:

Oksana_A [137]2 years ago

4 0

Answer: ∠N

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

An angle is the union of two sides with a common endpoint. (Vertex)

The sides PN and NM Both share the letter N, and both sides have only one vertex in common. Vertex N.

The common endpoint gives the angle name, in this case, angle N.

So, the correct answer is option A . ∠N.

Feel free to ask for more if needed or if you did not understand something.

Schach [20]2 years ago

3 0

They both share angle N

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Find 9P9 and 9C9. Why do the answers differ?

sveta [45]

We have been given two expressions $9P9\text{ and }9C9$ . We are asked to find the value of each.

To find 9P9, we will use permutations formula.

$^nP_r=\frac{n!}{(n-r)!}$ , where

P = Number of permutations,

n = The total number of objects in the set,

r = Number of objects being chosen from the set.

$9P9=\frac{9!}{(9-9)!}$

$9P9=\frac{9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{(0)!}$

$9P9=\frac{362880}{1}$ Using $0!=1$

$9P9=362880$

To find 9C9, we will use combinations formula.

$^nC_r=\frac{n!}{r!(n-r)!}$ , where

C = Number of combinations,

n = The total number of objects in the set,

r = Number of objects being chosen from the set.

$9C9=\frac{9!}{9!(9-9)!}$

$9C9=\frac{9!}{9!(0)!}$

$9C9=\frac{9!}{9!\cdot 1}$ Using $0!=1$

Cancelling out $9!$ , we will get:

$9C9=\frac{1}{1}$

$9C9=1$

The answers differ because order. With permutations we care about the order of the elements, while with combinations we don't.

3 0

3 years ago

Help asap will give brainliest!!!!

GarryVolchara [31]

Answer:

Step-by-step explanation:

ley y = f(x) and rearrange making x the subject

y = $\frac{1}{x+5}$ - 1 ( add 1 to both sides )

y + 1 = $\frac{1}{x+5}$ ( multiply both sides by (x + 5)

(y + 1)(x + 5) = 1 ← expand factors using FOIL

xy + 5y + x + 5 = 1 , that is

xy + x + 5y + 5 = 1 ( factor first/second and third/fourth terms on left side )

x(y + 1) + 5(y + 1) = 1 ← factor out (y + 1) from each term on left side

(y + 1)(x + 5) = 1 ( divide both sides by (y + 1) )

x + 5 = $\frac{1}{y+1}$ ( subtract 5 from both sides )

x = $\frac{1}{y+1}$ - 5

Change y back into terms of x with x = $f^{-1}$ (x) , then

$f^{-1}$ (x) = $\frac{1}{x+1}$ - 5 where x ≠ - 1

7 0

2 years ago

Two separate bacteria populations grow each month and are represented by the

ASHA 777 [7]

Answer:

Option 4.) month 4

Step-by-step explanation:

we have

$f(x)=3^{x}$ ----> equation A

$g(x)=7x+6$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (3,27)

That means -----> For x=3 months, the populations in both functions are the same (the bacteria populations is 27)

therefore

For x> 3 months the f(x) population is greater then the g(x) population

5 0

2 years ago

A small business assumes that the demand function for one of its new products can be modeled by p = Cekx. When p = $40, x = 1000

Maru [420]

Answer:

C= 82.1116

k=-0.0007192

Step-by-step explanation:

$p=Ce^{kx}\\40=Ce^{k1000}\\30=Ce^{k1400}\\$

Applying logarithmic properties yields in the following linear system:

$ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k$

Solving for k:

$ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k\\400 k = ln(30)-ln(40)\\k=-0.0007192$

Solving for C:

$40=Ce^{-0.0007192*1000}\\C= \frac{40}{e^{-0.0007192*1000}}\\C=82.1116$

C= 82.1116

k=-0.0007192

6 0

2 years ago

Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the

dmitriy555 [2]

Answer:

6 and 2/5

Step-by-step explanation:

20% of 32 is 6.4

4 0

2 years ago