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tekilochka [14]
3 years ago
14

Josh had 4 five-dollar bills. Then his grandfather gave him 1 ten-dollar bill How much money does Josh have now?​

Mathematics
2 answers:
Charra [1.4K]3 years ago
8 0
Josh now has 30 dollars because 4 times 5 is 20 and 1x10 is 10 so 20 plus 10 is 30
WARRIOR [948]3 years ago
7 0

Answer:

30 dollars

Step-by-step explanation:

4(5) + 10 = 20 + 10 = 30

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What is the vertex of the graph of f(x) = x2 + 4x + 6?
ICE Princess25 [194]

Answer:

(-2,2)

Step-by-step explanation:

6 0
3 years ago
Suppose that you take 120 mg of an antibiotic every 4 hr. The​ half-life of the drug is 4 hr​ (the time it takes for half of the
vodomira [7]

Answer:

The steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Step-by-step explanation:

Let the amount of antibiotic in one's bloodstream be given as Aₙ (where n = the number of half lives since the start of usage)

Let's follow the time line of events.

At t = 0 hr, the drug is taken

A₀ = 120 mg

At t = 4 hrs, n = 1, the drug is taken again

A₁ = (0.5×A₀) + 120

A₁ = (0.5×120) + 120 = 180 mg

At t = 8 hrs, n = 2, the drug is taken again,

A₂ = (0.5×A₁) + 120

A₂ = (0.5×180) + 120 = 210 mg

At t = 12 hrs, n = 3, the drug is taken again

A₃ = (0.5×A₂) + 120

A₃ = (0.5×210) + 120 = 225 mg

At this point, it becomes evident that at t = 4n hrs, n = n i.e. n half lives later, the general formula for the amount of the antibiotic in the bloodstream is

Aₙ = 0.5Aₙ₋₁ + 120

where Aₙ₋₁ = The amount of antibiotic in the bloodstream at the time t = 4(n-1) and (n-1) half lives later.

For infinite series, that are increasing in this order, as the value of n --> ∞,

Aₙ = Aₙ₋₁ = K

And our general formula becomes

K = 0.5K + 120

0.5K = 120

K = (120/0.5)

K = 240 mg

Hence, the steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Hope this Helps!!!

5 0
3 years ago
HELP. It’s LOG form. Since were out of school I forgot how I did this and it’s due so it would be a life saver.
____ [38]

Answer:

see below

Step-by-step explanation:

exponent to log: a^b = c ---> logₐc = b

ie. question 6

log ₁₀(3x+1) = 2 -----> 10^{2} = 3x+1

that will get you through questions 1 to 3, 5 to 6, and 8

in question 4, all you have to do is know that 2^2 = 4 and 2^3 = 8, by setting the bases equal, you can manipulate the exponents to get 2x+8 = 3x-3

for questions 7 and 9,

remember that:

logₐc + logₐd = logₐ(cd)

logₐc - logₐd = logₐ(\frac{c}{d})

remember change of base is log_{a} b = \frac{log_xb}{log_xa}, this will be useful if you need your calculator since calculators only have base 10 and maybe if your calculator is good enough natural base e

4 0
3 years ago
2 whole 2/3 times 3/11
sashaice [31]
2 2/3 x 3/11
= 8/4 x 3/11
= 24/44
Simplified
6/11
3 0
3 years ago
Find the slope of the line through (4, 6) and (4, 10).<br> A.0<br> B.3<br> C.1/3<br> D. Undefined
Neko [114]

Answer:

D. Undefined

Step-by-step explanation:

4-4 = 0, 10-6 = 4

Change of x = 0

Change of y = 4

Since the change of x is 0 (a horizontal line), it is undefined.

6 0
3 years ago
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