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2 years ago

I need the assistance of smarter beings than I..... I'm so lost.....

Mathematics

1 answer:

alukav5142 [94]2 years ago

4 0

Answer:

$\sf \bold{ 1 * (-3)^{n-1}}$

Explanation:

first term, a₁ = 1

difference between the terms: -3

used geometric formula : $\bold{\sf a_1 * (r)^{n-1}}$

where "a₁ is first term" and "r refers to common difference"

formula for this nth term: $\sf \bold{ 1 * (-3)^{n-1}}$

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Write 350 as a product of primes. Use index notation when giving your answer

Mkey [24]

Answer:

5² x 7 x 2

Step-by-step explanation:

350

= 35 x 10

= 7 x 5 x 5 x 2

= 5² x 7 x 2

8 0

2 years ago

= 1/2 (u+v)t

RoseWind [281]

The distance travelled by an object is 50 m.

<h3>What is Distance?</h3>

The distance between two points is the length of the path connecting them.

Here, given equation of distance

S = 1/2 (u + v)t

Where s is the distance traveled by an object (in meters)

initial velocity u (in m/s)

final velocity v (in m/s).

t in seconds.

Now, given values are;

u = 8 m/s ; v = 12 m/s ; t = 5 sec.

S = 1/2 (8 + 12)5

S = 1/2 (20)5

S = 100/2

S = 50 m.

Thus, the distance travelled by an object is 50 m.

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2 years ago

Try it solve the equation -3x - 6 = 6

Olin [163]

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3 0

3 years ago

Read 2 more answers

Write in point slope form an equation of the line that passes through the given point and has the given slope: (0,1); m= 2

sergey [27]

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$\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond$

Write an equation for the line that passes through (0, 1) and has a slope of 2 (in point-slope form).

$\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond$

Point-slope form:-

$\sf{y-y_1=m(x-x_1)}$

Substitute 1 for y₁, 2 for m, and 0 for x₁:-

$\sf{y-1=2(x-0)}$

So we conclude that Option B is correct.

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3 0

2 years ago

The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re

PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic clarithromycin is eliminated from the body according to the formula:

$A(t) = 500e^{-0.1386t}$ ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

$100= 500e^{-0.1386t}$

Divide both sides by 500 we get;

$\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}$

Simplify:

$\frac{1}{5} = e^{-0.1386t}$

Taking logarithm both sides with base e, then we have;

$\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})$

$\log_e (\frac{1}{5})=-0.1386t$ [ Using $\log_e e^a =a$ ]

$\log_e (0.2)=-0.1386t$

$-1.6094379124341 = -0.1386t$

[using value of $\log_e (0.2) = -1.6094379124341$ ]

then;

$t = \frac{-1.6094379124341}{-0.1386}$

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams

6 0

3 years ago