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3 years ago

Nevermind i got it thanks any ways

Mathematics

2 answers:

kobusy [5.1K]3 years ago

4 0

Answer:

Step-by-step explanation:

good job lol

irinina [24]3 years ago

3 0

You can't use more then 500

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William says that 15 years from now, his age will be 3 times his age 5 years ago. If x represents William’s present age, complet

lozanna [386]

Answer:

x + 15= 3(x - 5)

Step-by-step explanation:

7 0

3 years ago

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In which table(s) does y vary directly with x? Check all that apply.

lana [24]

Answer:

1, 2, & 3

Step-by-step explanation:

I just guessed to move on to the next question but hope it helps :)

4 0

3 years ago

Read 2 more answers

Solve the right triangle

defon

I recommend learning the mnemonic SOHCAHTOA (it's very fun to say!)
Here is what SOHCAHTOA represents.

Sin - Opposite / Hypotenuse (SOH)
Cos - Adjacent / Hypotenuse (CAH)
Tan - Opposite / Adjacent (TOA)

The sine of an angle is the length of the side opposite of the angle divided by the length of the hypotenuse.

Thus, the length of the side opposite of the angle divided by the sine will give us the length of the hypotenuse.

The angle is 46 degrees. The length of the side opposite of the angle is 14. The hypotenuse is c.

$c= \dfrac{14}{\sin{46^o}}$

$\approx 19.46$

The tangent of an angle is the length of the side opposite of the angle divided by the length of the side adjacent to the angle.

Thus, the length of the side opposite to the angle divided by the tangent of the angle will give us the length of the other leg.

The length of the side opposite to the angle is 14. The angle is 46. The unknown length of the side adjacent to the angle is b.

$b=\dfrac{14}{\tan{46^o}}$

$\approx 13.52$

This should be what you are looking for. Enjoy!

6 0

3 years ago

A town has 5000 people in year t = 0. Calculate how long it takes for the population P to double once, twice, and three times, a

UNO [17]

Answer:

Step-by-step explanation:

At the time t = 0, population of the town = 5000

Rate of population increase = 500 per year

Therefore, the equation that will represent the population will be

$P_{t}=P_{0}+500t$

Where $P_{t}$ = Population after t years

$P_{0}$ = Initial population

t = Time in years

a). For double once the population will be 500×2 = 10000

By plugging in the values in the equation,

10000 = 5000 + 500t

500t = 10000 - 5000

500t = 5000

t = $\frac{5000}{500}$

t = 10 years

For Double twice,

Population will be = 10000×2 = 20000

Now we plug in the values in the equation again

20000 = 5000 + 500t

500t = 20000 - 5000

500t = 15000

t = $\frac{15000}{500}$

t = 30 years

For double thrice,

Population of the town = 20000×2 = 40000

Now we plug in the values in the equation,

40000 = 5000 + 500t

500t = 40000 - 5000

500t = 35000

t = $\frac{35000}{500}$

t = 70 years

b). If the population growth is 5%.

Then the growth will be exponential represented by

$T_{n}=T_{0}(1+\frac{r}{100})^{t}$

$T_{n}$ = Population after t years

$T_{0}$ = Initial population

t = time in years

For double once,

Population after t years = 10000

$10000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{10000}{5000}$

$(1.05)^{t}=2$

Take log on both the sides

$log(1.05)^{t}=log2$

tlog(1.05) = log2

t = $\frac{log2}{log1.05}$

t = 14.20 years

For double twice,

Population after t years = 20000

$20000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{20000}{5000}$

$(1.05)^{t}=4$

Take log on both the sides

$log(1.05)^{t}=log4$

tlog(1.05) = log4

t = $\frac{log4}{log1.05}$

t = 28.413 years

For double thrice

Population after t years = 40000

$40000=5000(1+\frac{5}{100})^{t}$

$(1.05)^{t}=\frac{40000}{5000}$

$(1.05)^{t}=8$

Take log on both the sides

$log(1.05)^{t}=log8$

tlog(1.05) = log8

t = $\frac{log8}{log1.05}$

t = 42.620 years

4 0

3 years ago

Glven: F(x) = 2x - 1; G(X) = 3x + 2; H(x) = x2<br> Find F/G/H(2)<br> 121<br> 27<br> 71

Sergio039 [100]

Answer:

3/32

Step-by-step explanation:

One approach to doing this probelm is to evaluate all three functions F, G and H at x = 2:

F(2) = 2(2) - 1 = 3

G(2) = 3(2) + 2 = 8

H(2) = (2)^2 = 4

3/8

Then (F/G)(2) = (3/8), and (F/G/H) = -------- = 3/32

8 0

3 years ago