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EleoNora [17]
3 years ago
10

What is the simplified form of the seventh root of x times the seventh root of x times the seventh root of x times the seventh r

oot of x
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0
X^(1/7)x^(1/7)x^(1/7)x^(1/7)

Well the rule for multiplying similar bases with exponents is:

(a^b)(a^c)(a^d)=a^(b+c+d), so in this case:

x^(1/7+1/7+1/7+1/7)

x^(4/7)

In words that is x raised to the 4/7 th power or the seventh root of x raised to the 4th power.
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A basketball team scored 78 points in their championship win over their rival. The team scored 25 baskets worth 2 points and mad
solong [7]
25(2) + 7(1) + 3x = 78....x represents the number of 3 point shots
50 + 7 + 3x = 78
57 + 3x = 78
3x = 78 - 57
3x = 21
x = 21/3
x = 7....so there were 7 three-point shots made
3 0
3 years ago
Delta pays Pete Rose $360 per day in the maintenance department at air port. Pete became I'll Monday and went home after 1/5 of
Brrunno [24]

Answer:

$72 earned on monday

Step-by-step explanation:

Delta pays Pete Rose $360 per day in the maintenance department at air port. Pete became I'll Monday and went home after 1/5 of a day

Delta works for only 1/5 of the day

To get the amount earn , multiply the work done by the rate

\frac{1}{5}  \cdot 360 =72

So $72 earned on monday

6 0
3 years ago
Find the general solution for the differential equation (dy)/(dx) + 3y = 18<br> Y=
harkovskaia [24]

Answer:

y=-e^{-3x-c_1}+6

Step-by-step explanation:

\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6

5 0
3 years ago
A quantity with an initial value of 600 decays exponentially at a rate of
Snowcat [4.5K]

Answer:

The value of the quantity after 87 months will be of 599.64.

Step-by-step explanation:

A quantity with an initial value of 600 decays exponentially at a rate of 0.05% every 6 years.

This means that the quantity, after t periods of 6 years, is given by:

Q(t) = 600(1 - 0.0005)^{t}

What is the value of the quantity after 87 months, to the nearest hundredth?

6 years = 6*12 = 72 months

So 87 months is 87/72 = 1.2083 periods of 6 years. So we have to find Q(1.2083).

Q(t) = 600(1 - 0.0005)^{t}

Q(1.2083) = 600(1 - 0.0005)^{1.2083} = 599.64

The value of the quantity after 87 months will be of 599.64.

8 0
3 years ago
Li Wei has several streams of income, as shown in the table. Some streams are active income and some are passive.
WARRIOR [948]

Based on the streams of income that Li Wei has, we can calculate that he has a total passive income of <u>$3,010.</u>

Passive income refers to income that is made without a person actively involving themselves in the activity generating the income.

In this scenario, the passive income sources are:

  • Stock dividends
  • Business investment interest
  • Royalties from a novel

Total passive income therefore is:

= 530 + 1,080 + 1,400

= $3,010

In conclusion, the total passive income is $3,010.

<em>Find out more at brainly.com/question/1246309. </em>

3 0
3 years ago
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