What is the distance from QR?
Q
6n + 3
s
4n + 11
R

Answer:

I think its $8,480 if not I'm sorry

Answer:

8483.60 I had this question too and decided to help you.

The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.

If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050

The population is given to be increasing exponentially, which means it will follow the equation:

\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.

We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:

\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)

Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.

Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:

\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)

where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)

where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)

Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)

To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):

\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.

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The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

SAMEEE

Step-by-step explanation:

Answer:

The equation for a cylinder is  V = π r 2 h

Step-by-step explanation:

So this is what your equation would look like:

V = (π)(4)(2)(8)

Pi=3.14

Answer:

13.5

Step-by-step explanation:

Answer:

Angle 1 = 39, Angle 2 = 78 , Angle 3 = 63

Step-by-step explanation:

78/2 = 39

(Angle 2/2 = Angle 1)

78 - 15 = 63

(Angle 2 - 15 = Angle 3)

39 + 78 + 63 = 180

(Angle 1 + Angle 2 + Angle 3 = 180)

Answer:

39°, 78°, 63°

Step-by-step explanation:

let ∠ 1 = x, then

∠ 2 = 2x ( twice the measure of ∠ 1 )

∠ 3 = 2x - 15 ( 15° less than ∠ 2 )

Sum the 3 angles and equate to 180

x + 2x + 2x - 15 = 180, that is

5x - 15 = 180 ( add 15 to both sides )

5x = 195 ( divide both sides by 5 )

x = 39

Thus

∠ 1 = 39°

∠ 2 = 2 × 39° = 78°

∠ 3 = 78° - 15 = 63°

Answer:

the formula is :

area = 1/2(b1 + b2) x h

in this case it's :

area = 1/2(3 + b2)x 4

You will need the length of the lower base to solve it.

Step-by-step explanation:

Answer:

x ≥ -6

Step-by-step explanation:

Answer: x ≥-6

explanation: im pretty good at math

Answer:

  B)  100

Step-by-step explanation:

Let c represent the number of chicken meals ordered. Then 150-c is the number of beef meals ordered, and the total meal cost is ...

  4c +6(150-c) = 700

  -2c = -200 . . . . . . . . subtract 900, simplify

  c = -200/-2 = 100

100 chicken meals were ordered.

Answer:

x = about 2.7

Step-by-step explanation:

We can use proportions to find x.

For side 1, we have 6:2 = 3.

For side 2, we have 8:x=3 ... 8:3 = x ... x=2.6....7

x = about 2.7

The intermediate step in the form (x + a)²  = b is (x + 2)² = 49

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equals sign (=).

To complete the square for the equation 3x² + 26x = 14x + 135, we first move all the constant terms to one side:

3x² + 26x - 14x = 135

Simplifying the left side, we get:

3x² + 12x = 135

Next, we factor out the coefficient of x^2 from the terms involving x:

3(x² + 4x) = 135

To complete the square, we need to add and subtract a constant term inside the parentheses that will make the expression a perfect square trinomial. To determine this constant term, we take half of the coefficient of x (which is 4 in this case) and square it:

(4/2)² = 4

So we add and subtract 4 inside the parentheses:

3(x² + 4x + 4 - 4) = 135

Now, the terms inside the parentheses form a perfect square trinomial, which we can write as (x + 2)²:

3((x + 2)² - 4) = 135

Simplifying, we get:

3(x + 2)² - 12 = 135

Finally, we add 12 to both sides to isolate the perfect square term:

3(x + 2)² = 147

So the intermediate step in the form (x + a)^2 = b is:

(x + 2)² = 49

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Answer:

white sold = 16

yellow sold = 12

Step-by-step explanation:

w = # of white sold

y = # of yellow sold

w + y = 28   solve this for w

w = 28 - y

9.95w + 13.5y = 321.20     substitute w = 28-y into this expression and solve for y

9.95(28-y) + 13.5y = 321.20

278.60 - 9.95y + 13.50y = 321.20

278.60 + 3.55y = 321.20

3.55y = 321.20 - 278.60 = 42.60

y = 42.60/3.55 = 12   substitute this into w = 28 - y and solve for w

w = 28 - 12 = 16

Answer:

5.7×-1.2=-7.14

Step-by-step explanation:

+5.7(×)-1.3

+(×)- = -(it gives a negative answer)

so you multiply 5.7 and 1.3= 7.14

you just add a negative sigh to the ans

answer=-7.14

please consider a brainlest question

(a).The volume of the cylinder is 216π \(cm^{3}\)

(b). The volume of the cone is 72π \(cm^{3}\)

(c). The volume of the hemisphere is 144π \(cm^{3}\)

(a). Volume of the cylinder:

The volume of the cylinder is 216π \(cm^{3}\)  

Since the hemisphere fits snugly inside the cylinder, and the radius of the cylinder is 6 cm, the radius of the hemisphere equals the radius of the cylinder. Also, the height of the cylinder equals the radius of the hemisphere.

So, the volume of the cylinder V = \(\pi r^{2} h\) where

r = radius of cylinder = 6 cm and

h = height of cylinder = radius of hemisphere = 6 cm

So, V = \(\pi r^{2} h\)

=\(\pi r^{2}\)× r

=\(\pi r^{3}\)

= π(6 cm)³

= 216π \(cm^{3}\)

So, the volume of the cylinder is 216π \(cm^{3}\)  

(b). Volume of the cone

The volume of the cone is 72π \(cm^{3}\)  

Since the cone fits snugly inside the same hemisphere, the radius and height of the cone equals the radius of the hemisphere.

So, the volume of the cone V' = \(\frac{\pi r^{2} h}{3}\) where

r = radius of cone = 6 cm and

h = height of cone = radius of hemisphere = 6 cm

So, V' = \(\frac{\pi r^{2} h}{3}\)

= \(\frac{\pi r^{2} *r}{3}\)

= \(\frac{\pi r^{3} }{3}\)

=\(\frac{ \pi(6 cm)^{3} }{3}\)

\(= \frac{216 \pi}{3}cm^{3} = 72 \pi cm^{3}\)

So, the volume of the cone is 72π \(cm^{3}\)

(C). Volume of hemisphere

The volume of the hemisphere is 144π cm³  

Since the volume of hemisphere, V" equals the averages of the volume of the cylinder, V and volume of the cone, V'

So, V" =\(\frac{ (V + V')}{2}\)

V" =\(\frac{ (216\pi cm^{3} + 72\pi cm^{3})}{2}\)

V" = \(\frac{288\pi cm^{3} }{2}\)

V" = 144π \(cm^{3}\)

So, the volume of the hemisphere is 144π \(cm^{3}\).

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The length of Raj's piece of string is 12x units.

To determine the length of Raj's piece of string, we need to find Kiki's third-longest piece.

Looking at the line plot or list of lengths provided, we can identify the third-longest length of Kiki's pieces.

Let's assume Kiki's third-longest piece has a length of x units.

According to the problem, Raj's piece of string is 12 times as long as Kiki's third-longest piece.

Therefore, the length of Raj's piece of string would be 12 × x units.

We can only express it as 12x units, where x represents the length of Kiki's third-longest piece.

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The strategies that survive iterated elimination of strictly dominated strategies are: (M,L), (B,L,R), (B,R), (M,R), and (M). The pure-strategy Nash equilibria are: (M,L) and (B,R).

To find the strategies that survive iterated elimination of strictly dominated strategies, we start by looking for any dominated strategies.

In row player's strategy, T dominates B as 2 > 1 and 4 > 3. So, we can eliminate row player's strategy B.

In column player's strategy, R dominates L as 3 > 0 and 2 > 1. So, we can eliminate column player's strategy L.

Now, the reduced game is:

C R

T 1,1 4,2

M 1,2 2,3

In this reduced game, there are no more strictly dominated strategies, so no further elimination is possible.

To find the pure-strategy Nash equilibria, we look for any cells in the game where neither player has an incentive to switch strategies.

One such equilibrium is (T, R), where row player plays strategy T and column player plays strategy R, since neither player has an incentive to switch to a different strategy.

Another equilibrium is (M, C), where row player plays strategy M and column player plays strategy C, since neither player has an incentive to switch to a different strategy.

So, the strategies that survive iterated elimination of strictly dominated strategies are T and M, and the pure-strategy Nash equilibria are (T, R) and (M, C).

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Answer:

$12.49

Step-by-step explanation:

9.99 divided by .8

Answer:

It is 12.48

Step-by-step explanation:

9.99/.8

The equation that justifies why\(27^{(1/3)}\) is equivalent to the cube root of 27 is:\(27^{(1/3)} = (27^{1)^{(1/3)}} = 27^{(1/3)}\)

The cube root symbol is represented by the number "3". In the square root case, only the root symbol—also known as a radical—was employed. Therefore, the cube root of different numbers can be symbolically represented as follows: 5 divided by its cube = 3. 11 has a cube root of 311 and so on.

The cube root of three is the same as the number 1.442224957031. The cube root of three has the radical representations 33 and 31/3. " denotes the square root.

The cube root formula aids in computing the cube root of any given number that is represented by the symbol in radical form. It can be determined by first determining the number's prime factorization and then using the cube root formula. Assume that x is any number such that it equals y, y, and y.

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Answer:

0.81

Step-by-step explanation:

MAKE ME BRAINLIEST PLEASEE <333

Answer:

0.81

Step-by-step explanation:

the answer is 0.81

0.9×0.9=0.81

Answer:

C not like terms

Step-by-step explanation:

Answer:

the answer is LIKE TERMS because 10 doesnt have a variable of y

Step-by-step explanation: Brainliest please.

Answer:

I DONT KNOW BUTTTTTTT CAN YOU MARK ME BRANINLIST

Answer:

20/39

Step-by-step explanation:

Choose 2 out of 13 which is the total. this is 13C2

5 * 8 for one man and one women.

divide.

Answer: f (-4) = 4

so the answer is 4

Answer:

jed is 11

jan is 8

I think

Step-by-step explanation:

I look at the first sentence-- the last person mentioned in the sentence is jed. So I use X for jed.

Jan's age is 3 less than twice jed age===== 2x-3

then it tells us that the sum of the jed and Jans age is 30

the equation looks like this:

x+2x-3=30

3x-3=30

3x=33

x=11

jed is 11

It takes 0.152 liters of gasoline to drive 111 kilometers at the same rate Amelia drove.

To find the number of kilometers Amelia drove per liter of gasoline, we can divide the total distance traveled (484848 kilometers) by the total amount of gasoline used (666 liters).

Kilometers per liter = Total distance / Total gasoline used

Kilometers per liter = 484848 km / 666 L

Kilometers per liter ≈ 728.73 km/L

So, Amelia drove approximately 728.73 kilometers per liter of gasoline.

To determine how many liters it takes to drive 111 kilometers at the same rate, we can use the inverse of the kilometers per liter value.

Liters for 111 kilometers = 111 km / (Kilometers per liter)

Liters for 111 kilometers = 111 km / 728.73 km/L

Liters for 111 kilometers ≈ 0.152 L

Therefore, it would take approximately 0.152 liters of gasoline to drive 111 kilometers at the same rate.

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Answer:

17×6=102 because he gave 2 boxes to his brother so he have 6 boxes

Answer:

525

5 percent of 500 is 25

25 + 500=525

to divide big decimal b1 by b2 and assign the result to b1, you write the divide method.

To divide a BigDecimal b1 by b2 and update the value of b1 with the result, you can use the divide method provided by the BigDecimal class.

This method takes the divisor as its argument and returns a new BigDecimal object that represents the quotient of the division.

To update the value of b1, you can assign the result of the divide method back to b1. Here's an example:

b1 = b1.divide(b2);

This will divide b1 by b2 and assign the resulting quotient to b1.

Note that the divide method may throw an Arithmetic Exception if the divisor is zero or if the quotient cannot be represented with the current scale and rounding mode of the BigDecimal.

Therefore, you should handle this exception accordingly.

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The difference between the linear and projectile motion is that "Linear-motion" refers to motion of object in a "straight-line", while "projectile-motion" refers to motion of an object that is thrown into air, in a curved path.

In linear motion, the object moves along a straight line, with its velocity and acceleration aligned in the same direction. The object's speed and direction may change, but its motion remains linear.

In projectile motion, the object moves along a curved path under the influence of gravity. The object is launched into the air with an initial velocity, and then gravity causes it to follow a parabolic path until it lands back on the ground. The motion of the object is influenced by both its initial velocity and the force of gravity.

In both linear and projectile motion, the "horizontal-component" of velocity will usually remain constant because there is no external force acting on the object in horizontal direction, and thus no acceleration.

Therefore, the object will continue to move at a constant velocity in the horizontal direction, as long as there is no external force acting on it.

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Answer:

tan y°

Step-by-step explanation:

by using the Sine Rule (See attached), we can form the equation:

\(\frac{r}{sin (y)} = \frac{p}{sin (x)}\)

rearranging this, we get:

\(\frac{r}{p} =\frac{sin(y)}{sin(x)}\)   ---------------------eq 1

Recall that all internal angles of a triangle must sum to 180°. we observe that we have a right triangle where one of the angles is 90°. It then follows that the sum of the other two angles must sum to 90°

i.e x + y = 90°

with a little rearranging, we get

x = (90° - y)

Substituting this into eq 1 above, we get:

\(\frac{r}{p} =\frac{sin(y)}{sin(90- y)}\)  ---------eq 2

recall that from the trigonometric co-function identities,

sin (90°- y) = cos y

substituting this into eq 2 gives :

\(\frac{r}{p} =\frac{sin(y)}{cos(y)} = tan(y)\)   (answer)