adding and subtracting polynomials

Subtract 2x² + 6x - 5 from 7x² + 3x + 4​

Answer: letter d

Step-by-step explanation:

Answer:

Ball D. Among the four balls in this picture, ball D is the only one whose kinetic energy is greater than [tex]0[/tex].

Step-by-step explanation:

Consider an object of mass [tex]m[/tex]. If this object is moving at a speed of [tex]v[/tex], the kinetic energy of this object would be:

[tex]\displaystyle \frac{1}{2}\, m \cdot v^{2}[/tex].

The speed [tex]v[/tex] of ball A, B, and C are all [tex]0[/tex].  Hence, the kinetic energy of these three balls would be [tex]0\![/tex].

The speed of ball D is greater than [tex]0[/tex]: [tex]v = 2\; \rm m \cdot s^{-1}[/tex]. The kinetic energy of this ball would be:

[tex]\begin{aligned} {\rm KE} &= \frac{1}{2}\, m \cdot v^{2} \\ &= \frac{1}{2}\times \rm 0.43\; \rm kg \times \left(2\; \rm m \cdot s^{-1}\right)^{2}\\ &= 0.86\; \rm J\end{aligned}[/tex].

Hence, the kinetic energy of ball D is the greatest among the four balls in this picture.

Answer:

Estimated time = 490 seconds

Exact time = 463.98 seconds

Step-by-step explanation:

The car traveled 1 mile in 70.3 seconds.

We want to find how long it took to travel 6.6 miles.

We are told to estimate the given values to the nearest whole numbers before solving.

Thus;

1 mile was travelled in 70 seconds

Then; 6.6 miles ≈ 7 miles

Thus, 7 miles is travelled in; 70 × 7/1 = 490 seconds

Estimated time = 490 seconds

Now, exact time will be;

Exact time = 70.3 × 6.6/1

Exact time = 463.98 seconds

Answer:

a) 0.2316 = 23.16% probability that 0 carry intestinal parasites.

b) 0.4005 = 40.05% probability that at least two individuals carry intestinal parasites.

Step-by-step explanation:

For each trout, there are only two possible outcomes. Either they carry intestinal parasites, or they do not. Trouts are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

You know that in a specific population of rainbow trout 15% of the individuals carry intestinal parasites.

This means that [tex]p = 0.15[/tex]

Assume you obtain a random sample of 9 individuals from this population:

This means that [tex]n = 9[/tex]

a. Calculate the probability that __ (last digit of your ID number) carry intestinal parasites.

Last digit is 0, so:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{9,0}.(0.15)^{0}.(0.85)^{9} = 0.2316[/tex]

0.2316 = 23.16% probability that 0 carry intestinal parasites.

b. Calculate the probability that at least two individuals carry intestinal parasites.

This is

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{9,0}.(0.15)^{0}.(0.85)^{9} = 0.2316[/tex]

[tex]P(X = 1) = C_{9,1}.(0.15)^{1}.(0.85)^{8} = 0.3679[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.2316 + 0.3679 = 0.5995[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5995 = 0.4005[/tex]

0.4005 = 40.05% probability that at least two individuals carry intestinal parasites.

We will see that the probabilities are:

We know that 15% of the population have the parasites, then if we take a trout at random we have:

a) The probability that 9 of them carry intestinal parasites (so all of them have).

This is just the product of the individual probabilities, so we have 9 times a probability of 0.15, this gives:

P(9) = (0.15)^9 = 3.8*10^-8

b) Probability that 2 out of 9 have parasites.

Then we have 0.15 two times, and 0.85 seven times.

But we also need to take in account the permutations, the different groups of 2 trouts that we can make out of 9 trouts is given by:

[tex]C(9, 2) = \frac{9!}{(9-2)!*2!} = \frac{9*8}{2} = 36[/tex]

This means that there are 36 different pairs of 2 trouts that can be the ones with parasites.

Then the probability that 2 trouts have parasites is:

P(2) = 36*(0.15)^2*(0.85)^7 = 0.26

And just to be complete, the probabilty that x trouts have parasites is:

P(x) = C(9, x)*(0.15)^x*(0.85)^(9 - x)

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Answer:

[tex]NO= 31.2[/tex]

Step-by-step explanation:

See attachment for triangle

From the attachment, we have:

[tex]KL = 51.6[/tex]

[tex]LM= 38[/tex]

[tex]OP = 23[/tex]

Required

Find NO

This will be calculated using the following equivalent ratios:

[tex]NO : OP = KL : LM[/tex]

This gives:

[tex]NO : 23= 51.6: 38[/tex]

Express as fraction

[tex]\frac{NO }{ 23}= \frac{51.6}{ 38}[/tex]

Make NO the subject

[tex]NO= \frac{51.6}{ 38} * 23[/tex]

[tex]NO= \frac{51.6* 23}{ 38}[/tex]

[tex]NO= \frac{1186.8}{ 38}[/tex]

[tex]NO= 31.2[/tex] --- approximated

Answer:

x≈ 16.9

Step-by-step explanation:

Answer:

D 1/16

Step-by-step explanation:

(1/2)^4=.0625

.0625= 1/16

Answer:

684 I think ?!

Step-by-step explanation:

Answer: 114 adult tickets were sold.

Step-by-step explanation:

Let student tickets be represented as 2t (since twice the amount of student tickets were sold)

and let t represent the amount of adult tickets.

Solve for t (number of tickets)

342= 2t + t. Combine like terms.

342= 3t. Divide both sides by 3.

114=t

114 adult tickets were sold.

Substitute 114 for t to find student tickets.

2(114)= 228 student tickets were sold.

Answer:

b the car loan .................

Answer:

x7

Step-by-step explanation:

Answer:

41.8

Step-by-step explanation:

Answer:

the answer is -1

Step-by-step explanation:

if you multiply the first equation by -1, you get this:

-3x + 4y = 4

and then you can add that to the second equation and eliminate y

2x + 0y = 16

Answer: it’s the first one

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  g(x) = -f(x -3)

Step-by-step explanation:

Reflection over the x-axis multiplies function values by -1. Translation to the right 3 units replaces x with x-3. The transformed function is ...

  g(x) = -f(x -3)

Answer:

its the second graph top right

Step-by-step explanation:

an outlier is a point that deviates from the rest

Answer:

slope-5/3-1 2/3

y-intercept=-2

Step-by-step explanation:

hope that helps if correct please mark as brainliest thank you

19NBoli

Answer: .4 is in the tenths column and .04 is in the hundredths column and

.4 is 40% and .04 is 4% and .4 is 2/5 and .04 is 1/25 so .4 is larger then .04 and .4 is 2:5 and .04 is 1:25

Step-by-step explanation: plz mark me brainliest.

How to mark brainliest

___________________

Click on the crown on the bottom right of an answer if there is no crown reload the page

Answer:

Well .4 is bigger then .04. 0.4 is equal to 2/5 and 0.04 is equal to 1/25

Step-by-step explanation:

Answer:

a = 42 b = 21

Step-by-step explanation:

a is 42 since it ks vertically opposite 42

To solve for b

360 - (42×2)........to get the angle next to a

=276... Divde answer by 2. Bc there are two of the angles

276÷2 =138

138 + 2b =180

2b = 180 - 138

b = 42 ÷ 2

b = 21

Answer:

Step-by-step explanation:

This is the answer

Answer:

D for sure

Step-by-step explanation:

i dont know if you have time for this so i explain it in the comments if you need it

Answer:

the answer is D

Step-by-step explanation:

Answer: a. g(x) = 3^x + 2 b. y = 3 c. same graph but shifted two units up

Step-by-step explanation:

Answer: bro you have to submit a picture or some more information baceuse nobody will be able to answer your question with only one number (45)

Step-by-step explanation:

Answer:

x<3

Step-by-step explanation:

5x+2<17

Subtract 2 from both sides.

5x<17−2

Subtract 2 from 17 to get 15.

5x<15

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

x=15/5

Divide 15 by 5 to get 3.

x<3

Answers:

Fractions A

Red flower fraction== 40/100

Purple flower fraction=47/100

Trees fraction=7/100

Decimals

Orange flower decimal=0.06

Trees decimal=0.07

Percents

Red flower percent=40%

Orange flower percent=6%

Purple flower percent=47%

Ask for help when you need it, I'm here until 2:30

I hope this helps!

If you need more help, don't hesitate to ask!

May I have brainliest, please?

Answer:

Heres brainliest for who answered first

Step-by-step explanation:

Answer:

2435 units

Step-by-step explanation:

We have that El Paso is 320 miles from Tucson and 720 miles from San Diego.

You're travelling from Tucson to San Diego.

First we have to find the distance from Tucson to San Diego. We can do this by finding the difference between the distance of Tucson from San Diego and El Paso from San Diego.

That is:

720−320

400 miles

You leave by 6:00 am.

You drive for 75 miles per hour in 4 hours for the first part of the journey.

You then drive for 50 miles per hour for the rest of the journey.

The first step is to find the distance that the rest of the journey took. We can do that by first finding the distance covered in the first part of the journey and subtracting that from the total distance (400 miles).

To find the distance for the first part of the journey, we apply the formula for speed (rate of change of distance with time):

s = d/t

⇒d = s⋅t

where d= distance; t = time

Therefore:

d=75⋅4

d=300 miles

The first part of the journey covered 300 miles. This means that the rest of the journey covered:

400 - 300 = 100 miles

Now, to find the time the rest of the journey took, we have to apply the same formula for speed:

s=d/t

t=d/s

Therefore:

t=100/50

t=2 hrs

To find the total time it took to complete the journey, we have to add the times for the first part and the rest of the journey.

That is:

T=4+2

T=6 hours

Since you left home by 6:00 am, the time you will get to San Diego is 6 hours after that, i.e. 12 noon (Tucson time)

That is the answer.

Answer:the second one

Step-by-step explanation:

anwser c

step-by-step explenation                                          

Answer:

y = 0.1(x + 5)² + 1.5

Step-by-step explanation:

Equation of a parabola having vertex at (h, k) is given by,

y = a(x - h)² + k

From the given graph, vertex of the parabola is (-5, 1.5)

Therefore, equation of the parabola will be,

y = a(x + 5)² + 1.5

Since, this parabola passes through a point (0, 4)

4 = a(0 + 5)² + 1.5

4 = 25a + 1.5

25a = 2.5

a = 0.1

By substituting the value of 'a' in the equation of the parabola,

y = 0.1(x + 5)² + 1.5

Answer:

a - 129

b - 63

Step-by-step explanation:

for a - supplementary angles add up to equal 180

so to find the measure of its supplement we subtract the given angle from 180 180-51=129

so the measure of a supplement angle is 129

for b - complementary angle add up to equal 90

so to finds the measure of its complement we subtract the given angle from 90

90-27=63

so the measure of its complement is 63

Answer:

(a) An angle measures 51°. the measure of its supplement=180-51=129°

b) An angle measures 27°. the measure of its complement=90-27=63°

Answer:

maybe its a or c

Step-by-step explanation:

Answer:

D) 14,400

Step-by-step explanation:

trust me