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3 years ago

(3n4 + 6n + 6n)– (n+4n4 + 7n)

Mathematics

2 answers:

scZoUnD [109]3 years ago

8 0

3n4+12n-n-4n4-7n
3n4-4n4=-1n4
12n-7n-n=4n
The answer will be
-1n4+4n

Oksi-84 [34.3K]3 years ago

7 0

Answer:

-n⁴ + 4n

Step-by-step explanation:

Step 1: Write expression

(3n⁴ + 6n + 6n) - (n + 4n⁴ + 7n)

Step 2: Combine like terms

3n⁴ + 12n - (4n⁴ + 8n)

Step 3: Distribute -1

3n⁴ + 12n - 4n⁴ - 8n

Step 4: Combine like terms

-n⁴ + 4n

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I’ll give brainly

gogolik [260]

Answer:

Possible

Step-by-step explanation:

The rule for triangle side lengths is that the two shortest sides must add up to the longest side so it is possible because

3+7 = 10

Two short sides = The longest side

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3 years ago

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The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

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$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

4 0

2 years ago

Bubba Bulldog and all of his dog friends love to hide bones! Bubba hid 4 bones, Barry hid 5 bones, Larry hid 10 bones, and Goby

JulsSmile [24]

Answer:8

Step-by-step explanation:

You find the average which is adding them all together then dividing by how many numbers you added.

6 0

3 years ago

1. Solve for x. Then find the angle measures of the triangle? (4x) (6x+55) (9x+30)

nalin [4]

Answer:

x = 5.

First angle = 20°, Second angle = 85°, Third angle = 75°

Step-by-step explanation:

The first angle of the triangle = (4 x)

The second angle of the triangle = (6x + 55)

The third angle of the triangle = (9x + 30)

By ANGLE SUM PROPERTY of a triangle:

First angle + Second angle + Third angle = 180°

⇒ (4 x) + (6x+55) + (9x+30) = 180°

or, (4x + 6x + 9x) + ( 55 + 30) = 180°

or, 19x = 180 - 85

or, 19 x = 95 ⇒ x = 95 /19 = 5

or, x = 5

Hence, first angle of the triangle = (4 x) = 4 x 5 = 20°

Second angle = ( 6x + 30) = 6(5) + 55 = 85°

Third angle = (9x + 30 = 9(5) + 30 = 75°

8 0

3 years ago

The high school leadership team is having a car wash. They charge $5.50 for large cars and $4.00 for small cars . They had a suc

11Alexandr11 [23.1K]

Answer: 56 large cars and 86 small cars.

Step-by-step explanation:

Let's call:

$l$ : the number of large cars.

$s$ : the number of small cars.

Then, you can set up the following system of equations:

$\left \{ {{l+s=142} \atop {5.50l+4.0s=652.50}} \right.$

You can use the Elimination Method:

- Multiply the first equation by -4.0

- Add both equations.

- Solve for l.

$\left \{ {{-4.0l-4.0s=-568} \atop {5.50l+4.0s=652.50}} \right.\\--------\\1.5l=84.5$

$l$ ≈ $56$

Substitute $l=56$ into one of the original equations and solve for s:

$56+s=142\\s=142-56\\s=86$

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3 years ago