Which algebraic expression is a polynomial?
3m^2 n - 2m/n + 1/n
4m^3/n^2 - 3mn^5 + square root of 8
7mn + 3m/2 + 5n/4

Answer:

3.0 units

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Origin:

The origin is given by point (0,0,0).

Distance of point B to the origin:

Since the origin is all 0, just put the points into the square root.

[tex]D = \sqrt{2^2 + 4^2 + 8^2} = \sqrt{84} = 9.2[/tex]

9.2 units.

Distance of point A to the origin:

[tex]D = \sqrt{5^2 + 3^2 + 2^2} = \sqrt{37} = 6.1[/tex]

How much farther from the origin is point B than point A?

9.2 - 6.1 = 3.1 units

So approximately 3 units.

Answer:

a

Step-by-step explanation:

Answer:

say 5 and 6

Step-by-step explanation

you just multiply it

Answer:

-1,-3 is on quadrant 3

-1,7 is on quadrant 2

Step-by-step explanation:

answer is 90Kg/m3

use this formula : Density = mass / volume

Answer:

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Mean of 69.0 inches and a standard deviation of 2.8 inches.

This means that [tex]\mu = 69, \sigma = 2.8[/tex]

What is the bottom cutoff heights to be eligible for this experiment?

The bottom 15% are excluded, so the bottom cutoff is the 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.

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

[tex]-1.037 = \frac{X - 69}{2.8}[/tex]

[tex]X - 69 = -1.037*2.8[/tex]

[tex]X = 66.1[/tex]

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

The total momentum of the two probes with  given mass and velocity is equal to option D. 1860 kg m/s.

velocity of probe = 10m/s

mass of probe 1 = 86kg

mass of probe 2 = 100kg

The momentum of an object is given by the product of its mass and velocity.

So, to calculate the total momentum of the two probes,

Find the momentum of each probe, and then add them together.

The momentum of probe 1 is equal to,

p₁ = m₁ × v

Substitute the value we have,

⇒ p₁ = 86 kg × 10 m/s

⇒ p₁ =  860 kg m/s

The momentum of probe 2 is equal to,

p₂ = m₂ × v

⇒ p₂ = 100 kg × 10 m/s

⇒ p₂ = 1000 kg m/s

The total momentum of the two probes is the sum of their individual momenta is equal to

p = p₁ + p₂

⇒ p = 860 kg m/s + 1000 kg m/s

⇒ p = 1860 kg m/s

Therefore, the total momentum of the two probes is option D.1860 kg m/s.

Learn more about momentum here

brainly.com/question/13473688

#SPJ1

Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

2.05

Step-by-step explanation:

Answer:

16 units²

Step-by-step explanation:

1/2x4x8=16

Answer:

15

Step-by-step explanation:

x=2,z=6

2+6(4)-5-3(2)

2+24-5-6

26-11

15

x = 2 & z = 3x

Answer:

-5a*a^2

Step-by-step explanation:

(a)(-5*a)

-5a*a^2?

9514 1404 393

Answer:

  -0004.00

Step-by-step explanation:

The segment has a "rise" of -4 units for the "run" of 1 unit between x=2 and x=3. Then the slope is ...

  slope = rise/run = -4/1 = -4

Answer:

2

Step-by-step explanation:

[tex]Lim_{x\to 8} f(x), \: f(x) \begin{cases} x + 10 \: \: \: \: x < 8 \\ \\ 10 - x \: \: \: \: x \geqslant 8\end{cases}[/tex]

[tex] Lim_{x\to 8} f(x) = Lim_{x\to 8} 10 - x \\ \\ = 10 - 8 \\ \\ = 2[/tex]

Answer:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

Step-by-step explanation:

From the information provided, you can say that the total cost to watch the movies would be equal to the one-time fee plus the result of multiplying the price per movie for the number of movies you watch, which can be expressed as:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

Answer:

D

Step-by-step explanation:

I hope this helps a bit.

Answer:

The solution is: (4,-7)

Step-by-step explanation:

Given

The attached graph

Required

Determine the solution

The solution is the point where both lines meet.

From the attached graph, the two lines meet at:

[tex]x =4\\y = -7[/tex]

Hence, the solution is: [tex](4,-7)[/tex]

answer:

a. scarf costs today = $6

b. scarf costs 3 days from now = $3

step-by-step explanation:

a. original price of scarf: $12

12 X 1/2 = 6

12 - 6 = 6

— scarf costs today = $6

b. 12 X 3/4 = 9

12 - 9 = 3

— scarf costs 3 days from now = $3

Answer:

The answer to part B is B.

Step-by-step explanation:

Could you take another photo so I can see the bottom of the page?

Answer:

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

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.

Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars

This means that [tex]\mu = 45, \sigma = 7[/tex]

What is the probability that a randomly selected firm will earn more than Arc did last year?

Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.

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

[tex]Z = \frac{59 - 45}{7}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

Answer:

95

Step-by-step explanation:

88 + 95 + 97 + 100 = 380

380 ÷ 4 = 95

To find the average you add all the numbers together and then divide that answer depending on how many numbers there are for example there were 4  numbers in this problem so I divided by 4.

Hoped this helped you!! If you have any other questions about what I said you can ask me :) Have a great day!

3, and apparently its "too short of an answer on this website"

Answer:

(5 x 10^3) (9 x 10^7) = 5 × 9 × 10^3 × 10^7 = 45 × 10^10

Pierre and Jen collect badges. Pierre has 3 times as many badges as Je

This can be shown by p= 3j, where p = the number

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

Answer:

Step-by-step explanation:

Answer:

2.6>2.59 - Yes

2.09=2.9- No

Answer:

10 dollars

Step-by-step explanation:

he is racking in the money

Answer:

8 weeks

Step-by-step explanation:

Given data

Matteo

Amount= $400

Spending per week= $10

Hence his balance after x weeks is given as

y=400-10x-------------1

Luca

Amount= $200

Spending per week= $15

Hence his balance after x weeks is given as

y=200+15x-------------2

Equate 1 and 2

400-10x=200+15x

collect like terms

400-200=15x+10x

200=25x

x= 200/25

x= 8 weeks

Hence it will take 8 weeks

Answer:

Step-by-step explanation:

the first picture shows that two sides are the same and one angle so you know it's a SAS,    the one tick mark and that the two trialge share one common side is how you know 2 sides are the same,  and the 90 °  corner symbol shows you know an angle in each , that is also the same.

the second picture shows 3 sides the same  so SSS,  the triangles share one side, and have the tick marks, showing that each of the respective sides are the same.  

:)

Answer:

The quartile 3 is 0.3

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

X~Exp (0.2)

This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]

Find the quartile 3.

The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]

Since

[tex]P(X > x) = e^{-\mu x}[/tex]

[tex]e^{-5x} = 0.25[/tex]

[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]

[tex]-5x = \ln{0.25}[/tex]

[tex]x = -\frac{\ln{0.25}}{5}[/tex]

[tex]x = 0.277[/tex]

Rounding to the nearest tenth, the quartile 3 is 0.3.