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1 year ago

13

suppose the population of a certain city has been doubling every 30 years and the population was 48,000 in 1900. what will the p

opulation be in 2020?

1 answer:

Brilliant_brown [7]1 year ago

3 0

Answer:

768000

Step-by-step explanation:

From 1900 to 2020 = 120 means that it doubles 4 times ( once every 30 years)

=> 48000 * 2 ^ 4 = 768000

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Evaluate 8+6÷2+(2+10) help and work with answer please

Svetradugi [14.3K]

Answer:

23

Step-by-step explanation:

P E M D A S

8+6÷2+(2+10)

P)

8+6÷2+(2+10)

8+6÷2+(12)

E)

M)

D)

8+6÷2+(12)

8+3+12

A)

8+3+12

11+12

S)

The final answer is 23.

3 0

3 years ago

Read 2 more answers

A shooting star forms a right triangle with the Earth and the Sun, as shown below:

Semmy [17]

I found this!!!!

The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

This is:

cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

In this case:

\begin{gathered}\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC\end{gathered}

α=x\°

adjacent=BC=y

hypotenuse=AC

Therefore, the scientist can substitute these measurements into cos\alpha=\frac{adjacent}{hypotenuse}cosα=

hypotenuse

adjacent

, and solve for the distance between the Sun and the shooting star "AC":

cos(x\°)=\frac{y}{AC}cos(x\°)=

AC

y

AC=\frac{y}{cos(x\°)}AC=

cos(x\°)

y

7 0

3 years ago

Brainliest question please help please help me now plz

Kruka [31]

Answer:

Option A) Inside the circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The radius is equal to the distance from the center to any point on the circle

the formula to calculate the distance between two points is equal to

$d\sqrt{(y2-y1)^2+(x2-x1)^2 }$

we have

A(-5,-8),M(-1,-3)

substitute the values

$r=\sqrt{(-3+8)^{2}+(-1+5)^{2}}$

$r=\sqrt{(5)^{2}+(4)^{2}}$

$r=\sqrt{41}\ units$

step 2

Find the distance from the center to point V

we know that

If the distance from the center to point V is equal to the radius, then the point V lie on the circle

If the distance from the center to point V is less than the radius, then the point V lie inside the circle

If the distance from the center to point V is greater than the radius, then the point V lie outside the circle

we have

A(-5,-8),V(-11,-6)

substitute in the formula

$d=\sqrt{(-6+8)^{2}+(-11+5)^{2}}$

$d=\sqrt{(2)^{2}+(-6)^{2}}$

$d=\sqrt{40}\ units$

so

$\sqrt{40}\ units< \sqrt{41}\ units$

The distance from the center to point V is less than the radius

therefore

The point V lie inside the circle

Hope that helped :)

8 0

2 years ago

A standard deck of cards contains 52 cards. One card is selected from the deck.(a)Compute the probability of randomly selecting

Aneli [31]

a. There are four 5s that can be drawn, and $\binom43=4$ ways of drawing any three of them. There are $\binom{52}3=22,100$ ways of drawing any three cards from the deck. So the probability of drawing three 5s is

$\dfrac{\binom43}{\binom{52}3}=\dfrac4{22,100}=\dfrac1{5525}\approx0.00018$

In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of $\frac8{52}=\frac2{13}\approx0.15$ of getting drawn.

b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability $\frac{12}{52}=\frac3{13}\approx0.23$ of being drawn.

c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of $\frac{16}{52}=\frac4{13}\approx0.31$ .

- - -

Note: $\binom nk$ is the binomial coefficient,

$\dbinom nk=\dfrac{n!}{k!(n-k)!}={}_nC_k=C(n,k)=n\text{ choose }k$

6 0

3 years ago

15% of x is 27, x= what?<br>please helppp meeee

natta225 [31]

Answer:

$\huge \boxed{x=180}$

Step-by-step explanation:

15% of x = 27

$\sf 15\% \cdot x =27 \\\\\\ 0.15x=27 \\\\\\ Divide \ both \ sides \ by \ 0.15. \\\\\\ \frac{0.15x}{0.15} = \frac{27}{0.15} \\\\\\ x = 180$

15% of 180 is 27.

8 0

3 years ago

Read 2 more answers