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3 years ago

What is the solution to 3.25k + 1 - 4.25k = -2

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

8 0

K=3 is the answer my work is in the picture

Bogdan [553]3 years ago

6 0

Answer: K=3

Step-by-step explanation: Have a nice day!-Lily ^_^

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How much does it cost to travel one mile? Round your answer to the nearest A white water rafting company sells tickets for an 18

frosja888 [35]

Answer:

1 mile = $14

Step-by-step explanation:

We know how much the 18-mile trip is for sale, so to know how much 1-mile sale we just have to divide the total amount by the amount of miles

18 miles = $ 249

1 mile =

1 mile = 249 / 18

1 mile = 13.83

To know what the nearest dollar value is, we only have to check if what is after the whole number is May or less than .50

is larger so we round to the largest number that is 14

nearest dollar = $14

3 0

3 years ago

What is the simplest form of the expression below?

sineoko [7]

Answer:

(B) cot Theta

Step-by-step explanation:

We want to simplify the expression:

$\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta} }$

Now:

$\dfrac{ cos\theta}{sin\theta } =cot\theta\\\dfrac{ sin\theta}{cos\theta }=tan \theta\\$Substituting these into the expression\\\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta} }=cot\theta cot\theta X\dfrac{tan\theta}{\frac{tan\theta}{ tan \theta} }\\=cot\theta cot\theta X tan\theta$ (Since cot\theta X tan\theta =1) \\$Therefore our result:\\=cot\theta$

3 0

3 years ago

Read 2 more answers

What is the value of n in the relationship 8n+9=-n+5

vitfil [10]

Subtract 5 from both sides.

$8n + 4 = -n$

Subtract 8n from both sides.

$4 = -9n$

Divide both sides by -9 to solve for n.

$- \frac{4}{9} = n$

The value of n is -4/9.

8 0

3 years ago

Kim purchased 6 small containers of potato salad and Seth purchased 2 extra

victus00 [196]

Answer:

the difference is that the 2 extra LARGE containers weigh bigger than the

6 small ones

Step-by-step explanation:

6 0

3 years ago

The function C(h)=(2h^2+5h)/(h^3+8) models the concentration of medication in the bloodstream (as a percent) h hours after its i

salantis [7]

Answer:

h ≥ 0
C = 0; concentration eventually decays to nothing
(0, 0) is the only intercept in the domain. It means the concentration in the bloodstream is zero at the time the drug is injected.
1.95 hours

Step-by-step explanation:

1. a. The domain of the function in the context of this problem is h ≥ 0. The maximum value of h will correspond to the time at which the concentration is considered to be negligible. If that time is when the concentration decays to 1% of its peak value, then perhaps the suitable domain is 0 ≤ h ≤ 180.

b. The equation of the vertical asymptote of this function is where the denominator of C(h) is zero, that is ...

h^3 +8 = 0

h = ∛(-8)

h = -2 . . . . the equation of the vertical asymptote

This is not a concern for a medical professional because it is outside the domain of the function.

2. As h gets large the value of the function approaches 2/h, which is to say the horizontal asymptote is C = 0. It means the concentration of medication in the blood eventually decays to zero.

3. C(0) = 0 is the only intercept in the domain of the function. (h, C(h)) = (0, 0)

In the context of this problem, it means the blood concentration of medication is zero at the time of the injection.

4. About 1.95 hours after injection, a maximum concentration of the drug occur in the bloodstream. This value is easily found using a graphing calculator.

Taking the derivative of the function gives you ...

C'(h) = -2(h^4 +5h^3 -16h -20)/(h^3 +8)^2

This has two real zeros and two complex zeros. The positive real zero is near h = 1.94527, about 1.95.

That is, the concentration in the bloodstream reaches a maximum about 1.95 hours after injection into the muscle.

5 0

3 years ago