The population of a city has increased by 33% since it was last measured. If the current population is 26,600, what was the previous population?

Answer:

The coordinates of the center of the hyperbola are (1,-3)

Step-by-step explanation:

Equation of a hyperbola:

The equation of a hyperbola with center [tex](x_0,y_0)[/tex] is given by:

[tex]\frac{(x - x_0)^2}{a^2} - \frac{(y - y_0)^2}{b^2} = 1[/tex]

In this question, we have that:

[tex]-x_0 = -1 \rightarrow x_0 = 1[/tex]

[tex]-y_0 = 3 \rightarrow y_0 = -3[/tex]

The coordinates of the center of the hyperbola are (1,-3)

Answer:

probability: 0.44

The probability that a student chosen at random will be 16 or older is 0.44 or 44%.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The probability that a student chosen at random will be 16 or older is the sum of the probabilities of selecting a 16-year-old or older student.

P(16 or older) = P(16) + P(17) + P(18)

P(16 or older) = 0.28 + 0.15 + 0.01

P(16 or older) = 0.44

Therefore, the probability that a student chosen at random will be 16 or older is 0.44 or 44%.

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Answer:

1231 ft

Step-by-step explanation:

Draw a right triangle. Label the height of the triangle. as 800 since the height of the triangle represents the height of the helicopter above the coast of the island. Label the base length of the triangle as d to represent the distance between the coast of the island and the coast of the mainland, P. The angle of depression from the helicopter to point P is 33° so draw a horizontal dotted line at the location of the helicopter and label the angle made by the horizontal line and the hypotenuse of the right triangle as 33°. The angle of elevation from P to the helicopter and the angle of depression from the helicopter to point P are congruent alternate interior angles so label the angle at P as 33°.  

The side labeled 800 is opposite of P and the side labeled d is adjacent to P so you can use tangent to write an equation. Solve this equation for d and round to the nearest whole number.

Answer:

- 1.5

Step-by-step explanation:

Given points

( x1 , y1 ) = ( 4 , - 5 )

( x2 , y2 ) = ( - 2 , 4 )

Now

Slope (m)

= ( y2 - y1 ) / ( x2 - x1 )

= ( 4 + 5 ) / ( - 2 - 4 )

= 9 / - 6

= -1.5

Hope it will help :)❤

Answer:

[tex] \huge \purple{ \boxed{ y = \frac{2}{3} }}[/tex]

Step-by-step explanation:

Since, the variables x and y are inversely proportional.

[tex] \therefore \: y \: \: \alpha \: \: \frac{1}{x} \\ \implies \: y = \frac{k}{x} \\ (k = constant) \\ \implies \: xy = k ...(1)\\ plug \: y = 2, \: \: x = 3 \: in \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6 \: in \: equation \: (1) \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \: \: y =? \\ \\ 9y = 6 \\ y = \frac{6}{9} \\ \huge \red{ \boxed{ y = \frac{2}{3} }}[/tex]

Answer:

B

Step-by-step explanation:

The x component must be positive (3)

Answer: He will need 7 boxes and there will be 6 in the last box

Step-by-step explanation:

I did division and solved it lol

Answer:

he needs 7 boxes

there will be just one book in the last box

Answer:

y = 5 x + ln ( x − 2 )

Answer:

Graph II

Step-by-step explanation:

graph Ii is the answer

Answer:

x = 14

Yes, the form a Pythagorean triple.

Step-by-step explanation:

50^2 - 48^2 = x^2

196 = x^2

x=14

Answer:

The Bell Boeing V-22 Osprey is an American multi-mission, tiltrotor military aircraft ... However, the V-22 is generally not capable of hovering on one engine.

9514 1404 393

Answer:

  3 3/4 cups

Step-by-step explanation:

The yield from 3/4 cup of sugar is 2 dozen cookies. Multiply that by 5 and you get: the yield from 15/4 cups of sugar is 10 dozen cookies.

As a mixed number 15/4 = 3 3/4.

Ana will need 3 3/4 cups of sugar for 10 dozen cookies.

Answer:

Solution given:

recipe use 3/4 cup of sugar for 24 or 2 dozen Cooke's

now

we have

2 dozen=3/4 cup of sugar

10dozen=3/4×10/2=15/2 cup of sugar is needed

Answer:

$15 / hr

$450 / week

Step-by-step explanation:

30 h x 52 w = 1560 hrs

$23400 / 1560 = $15 / hr

$15 * 30 hrs = $450 / week

Answer:

x=-1

Step-by-step explanation:

multiplique el paréntesis por -6

10x-6+18x-12x+24=2

agripe los términos semejantes

16x-6+24=2  ......   16x+18=2

mueva la constante al lado derecho y cambie su signo

16x=2-18

calcula la diferencia

16x=-16

divida ambos lados de la ecuación entre 16

x=-1

Answer:

[tex]\boxed {\boxed {\sf 19.625 \ ft^2}}[/tex]

Step-by-step explanation:

The area of a circle is found using this formula:

[tex]a= \pi r^2[/tex]

We know the circle's diameter is 5 feet, but we don't know the radius. Remember the diameter passes through the center from one side to the other, while the radius connects the center and the side. Therefore, the radius is half the diameter.

We know the radius is 2.5 feet and we are using 3.14 for pi. Substitute the values into the formula.

[tex]a= (3.14)* (2.5 \ ft)^2[/tex]

Solve the exponent.

[tex]a= (3.14)*(6.25 \ ft^2)[/tex]

Multiply.

[tex]a=19.625 \ ft^2[/tex]

The area of the circle is 19.625 square feet.

Answer:

2π ft²

Step-by-step explanation:

Circle Area:

A = πr²

A = π × (4 ft)²

A = 16π ft²

Sector Area:

A = (45°)/(360°) × 16π ft²

A = 2π ft²

Answer:

6.3 years

Step-by-step explanation:

Given

[tex]P = 22400[/tex] --- initial value

[tex]r = 12\%[/tex] -- rate

[tex]A = P(0.88)^t[/tex] --- function

Required

Find t when [tex]A = 10000[/tex]

We have: [tex]A = P(0.88)^t[/tex]

Substitute: [tex]A = 10000[/tex] and [tex]P = 22400[/tex]

[tex]10000 = 22400 * 0.88^t[/tex]

Divide both sides by 22400

[tex]0.4464 = 0.88^t[/tex]

Take log of both sides

[tex]\log(0.4464) = \log(0.88^t)[/tex]

Apply law of logarithm

[tex]\log(0.4464) = t\log(0.88)[/tex]

Solve for t

[tex]t = \frac{\log(0.4464)}{\log(0.88)}[/tex]

[tex]t = \frac{-0.3503}{-0.0555}[/tex]

[tex]t = 6.31[/tex]

[tex]t \approx 6.3[/tex]

Answer:

0.4 pi

Step-by-step explanation:

find the circumference by doing 2 pi r

then you multiply that by a slice of the circle which is 72 degrees divided by 360.

Answer:

x = 14 /3

Step-by-step explanation:

Answer: 18x^4 - 30x^3 + 66x^2 - 40x + 56

Answer:

not clear

Step-by-step explanation:

what is the height and base? need an image

Answer:

tha answer is B

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

a.

They increase

Answer:

Step-by-step explanation:

the 2nd choice looks good Emily

y > x

y > x+2

y>x and y>x+2 is the  systems of inequalities describes the shaded region in the graph below.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade.

If the symbol ≥ or > is used, shade above the line.

If the symbol ≤ or < is used shade below the line.

y>x and y>x+2 is the inequality describes the shaded region in the graph below as it is greater.

Hence, y>x and y>x+2 is the  systems of inequalities describes the shaded region in the graph below.

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Answer:

D. 50.24

Step-by-step explanation:

The circumference based on the diameter of 16 is 50.27. Since its asking for the closest I would believe its D.  :) hope this helps  

Answer: 16

Step-by-step explanation:

Let the number of candy Ed took be denoted as "x"

Since Joe ate twice the amount of candy Ed ate, then the number of candies joe ate will be denoted as "2x"

Since all together they ate a total of 48 candies, then the sum of the candies eaten by Joe and Ed is what gives a total of 48

This means:

2x + x = 48

3x = 48

X = 16.

g would be 125 degrees

h would be 62 degrees

Answer:

g = 118°

Step-by-step explanation:

b = 180 - 62 = 118 because b is supplementary to the 62° angle

g = 118 because b and g are alternate interior angles

Answer:

half of 11:

5.5^2 x 3.14

30.25 x 3.14 = 94.985

round

94.99