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ss7ja [257]
2 years ago
6

I need help with questions 3 and 4

Mathematics
1 answer:
nlexa [21]2 years ago
6 0

Step-by-step explanation:

3)

7billion = 5 {e}^{15r} \\ 1.4billion =  {e}^{15r}  \\ ln(1.4 \: billion) = 15r \\ 21.0597 = 15r \\ r = 1.404

4) \\  t = 0  \: y= 200 \\200 = a {e}^{0}  \\ a = 200 \\ 800 = 200 {e}^{8k}  \\ 4 =  {e}^{8k}  \\ ln(4) = 8k \\ k = 0.1733

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Greg is pouring an entire gallon of milk in 10 glasses. What part of a gallon will be in each glass?
Vesnalui [34]

Answer:

\frac{1}{10}

Step-by-step explanation:

→ Divide the gallon by the number of glasses

\frac{1}{10}

8 0
3 years ago
What is the probability of selecting a seven or diamond card from a regular 52 deck of cards?
lozanna [386]

Step-by-step explanation:

What is the probability of drawing a diamond card or an ace from a pack of 52 playing cards? The probability of drawing a diamond-faced card from a pack of 52 playing cards is easy to determine. Since there are 13 diamond-faced cards in the deck, the probability becomes 13/52 = 1/4 = 0.25.

4 0
3 years ago
Read 2 more answers
I'm stuck. Can anyone help please?
Serjik [45]

log₉(<em>x</em> - 7) + log₉(<em>x</em> - 7) = 1

2 log₉(<em>x</em> - 7) = 1

log₉(<em>x</em> - 7) = 1/2

Take the base-9 antilogarithm of both sides; in other words, make both sides powers of 9:

9^{\log_9(x-7)} = 9^{1/2}

9^{1/2} can also be written as √9 = 3, and b^{\log_b(a)}=a, so the equation reduces to

<em>x</em> - 7 = 3

Solve for <em>x</em> :

<em>x</em> = 10

7 0
3 years ago
1. What is the tax owed by an individual with an annual income of 40,000.
lozanna [386]

Answer:

4,000

Step-by-step explanation:

If you are single and a wage earner with an annual salary of $40,000, your federal income tax liability will be approximately $4,000.

7 0
3 years ago
A farmer has some hens and goats. He counts a total of 60 eyes and 86 feet between them. How many hens does he have?.
ra1l [238]

The farmer has 17 hens.

<h3>What is a linear equation in two variables ?</h3>

An equation is linear if has highest degree of 1 and it has two variables.Generally they are in x and y.

For example -: 2x + 3y = 10

According to the given question a farmer has some hens and goats. He counts a total of 60 eyes and 86 feet between them.

Let us denote Hens by H and Goats by G.

We know both of them has 2 eyes each and we also know that a Hen has 2 legs and a Goat has 4 legs.

There fore the given data we can form two equations.

2H + 2G = 60 and 2H + 4G = 86.

Solving these two equations we have G = 13 and H = 17.

learn more more about linear equation in two variables here :

brainly.com/question/24085666

#SPJ4

3 0
2 years ago
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