The bird population at a park decreases by 12% each year. Which statement is true?

A.
The bird population is modeled with a linear equation, because the population decreases by a constant amount each year.

B.
The bird population is modeled with a linear equation, because the population decreases by a constant percent rate each year.

C.
The bird population is modeled with an exponential equation, because the population decreases by a constant amount each year.

D.
The bird population is modeled with an exponential equation, because the population decreases by a constant percent rate each year.
need help asap

Answer: p= 25 • 3^n

Step-by-step explanation:

The distance from the ground to the ladybug is 9 inches.

We can use trigonometry to solve this problem.

Let's assume that the distance between the second hand and the center of the clock is negligible compared to the length of the minute hand.

At 3:15, the minute hand is pointing directly at the 3 and the second hand is pointing directly at the 12. The angle between the minute hand and the second hand is 90 degrees.

We can draw a right triangle with the minute hand as the hypotenuse and the distance from the center of the clock to the ladybug as one of the legs. Let's call this distance "x". The length of the minute hand is 9 inches, so we have:

sin(90) = x/9

Simplifying this equation, we get:

x = 9sin(90)

x = 9

Therefore, the distance from the ground to the ladybug is 9 inches.

Learn more about trigonometry at https://brainly.com/question/24349828

#SPJ1

9514 1404 393

Answer:

  y = 2x -4

Step-by-step explanation:

The coefficient of x in the given equation is the slope of the line. A perpendicular line will have a slope that is the opposite reciprocal:

  -1/(-1/2) = 2

The point-slope form of the equation of a line can be used to find the desired equation:

  y -y1 = m(x -x1) . . . . . . line through (x1, y1) with slope m

For (x1, y1) = (2, 0) and m = 2, the equation is ...

  y -0 = 2(x -20

  y = 2x -4

Answer:

Use n(u) formula of chapter sets

Step-by-step explanation:

Have a good day

11 students were majoring in math only; 13 students were not majoring in computer science; and 2 students were not math or computer science majors.

Given that in a class of 25 students, 18 were math majors, 12 were computer science majors, and 7 were dual majors in math and computer science, to determine A) how many students were majoring in math only; B) how many students were not majoring in computer science; and C) how many students were not math or computer science majors; the following calculation must be performed:

Therefore, 11 students were majoring in math only; 13 students were not majoring in computer science; and 2 students were not math or computer science majors.

Learn more in https://brainly.com/question/20293703

Answer:

x = √(3^125/ 5)

approx 2.9552445 * 10^29.

Step-by-step explanation:

2 log3 x + log3 5 =125​

log3 x^2 + log3 5 = 125

log3 (5x^2) = 125

3^125 = 5x^2

x^2 = 3^125/ 5

x = √(3^125/ 5)

This is a huge number

An approximation of it is 2.9552445 * 10^29.

To draw a circle on a sheet of paper using a cylinder, place the cylinder on the paper and draw an arc using a string wrapped around the cylinder, marking an arc equal to one radius unit.

To draw a circle using a cylinder, you can follow these steps:

1. Place the cylinder in the desired position on a sheet of paper.

2. Take a string or thread that is longer than the radius of the cylinder. The length of the string should be equal to the radius of the circle you want to draw.

3. Hold one end of the string at the center of the cylinder's circular end and wrap the other end around the cylinder, ensuring it stays taut.

4. While keeping the string taut, carefully move the cylinder around in a circular motion, maintaining the same distance between the string and the cylinder's circular end. This will create an arc on the paper.

5. As you complete the circular motion, the string will mark an arc on the paper, representing one radius unit of length.

6. Repeat this process if you need to mark additional arcs or complete the circle.

By following these steps, you can use a cylinder and string to draw a circle on a sheet of paper, with each marked arc representing one radius unit of length. This method provides a practical way to visualize and understand the concept of radians, as the distance traveled by the string around the cylinder corresponds to the angle measured in radians.

Learn more about cylinder here: brainly.com/question/10048360

#SPJ11

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

for such more question on equation

https://brainly.com/question/17145398

#SPJ8

The approximate value of the definite integral ∫(0 to 0.4) ln(1 + x^5) dx using a power series is 0.073679.

To approximate the definite integral ∫(0 to 0.4) ln(1 + x^5) dx using a power series, we can use the Taylor series expansion of ln(1 + x). The Taylor series expansion of ln(1 + x) is:

ln(1 + x) = x - (x^2)/2 + (x^3)/3 - (x^4)/4 + ...

Integrating the power series term by term, we get:

∫(0 to 0.4) ln(1 + x^5) dx = ∫(0 to 0.4) [x^5 - (x^10)/2 + (x^15)/3 - (x^20)/4 + ...] dx

To approximate the integral, we can truncate the series and integrate the terms up to a desired degree. Let's approximate the integral using the first 6 terms:

∫(0 to 0.4) ln(1 + x^5) dx ≈ ∫(0 to 0.4) [x^5 - (x^10)/2 + (x^15)/3 - (x^20)/4] dx

Integrating each term individually, we get:

∫(0 to 0.4) ln(1 + x^5) dx ≈ [(x^6)/6 - (x^11)/22 + (x^16)/48 - (x^21)/84] |(0 to 0.4)

Evaluating the integral at the upper limit (0.4) and subtracting the value at the lower limit (0), we obtain the approximate value of the integral to six decimal places.

To know more about definite integral,

https://brainly.com/question/31989421

#SPJ11

Answer:

pQ

Step-by-step explanation:

Dont Think hard on the letters just think there numbers so reamber that

Answer:

PS maybe idrk to much on this stuff but I hope it helps :)

Answer:

5

Step-by-step explanation:

Answer:

4*3+X

IGNORE THIS JWINFWONDIWJFIENFIWKQPXK

Answer:

I know that's it's Biased but I can't fully get my answer out.

I beleive its biased because he is only asking those who works for the newspaper but every fifth person

I think this answer was help you

Answer:

1.5gallons

Step-by-step explanation:

Here,

no. of bottles(a) : 12

no. of cups (b) :a*2

=12*2

=24

Now,

No. of gallons. :24/16

:1.5gallons

.·.A cartoon contains 1.5 gallons of lemon tea.

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Explanation:

Given that ,

∆ ABC ~ ∆ DEC

Since they are similar triangles

The ratio of the corresponding sides are equal

⇛ AB / DE = BC / EC = AC / DC

⇛ AB / DE = AC / DC = 2/3

⇛ 20/DE = 48/DC = 2/3

On taking 48/DC = 2/3

On applying cross multiplication then

⇛ 2×DC = 48×3

⇛ DC = 48×3/2

⇛ DC = 24×3

⇛ DC = 72

and

On taking 20/DE = 2/3

On applying cross multiplication then

⇛ 2×DE = 3×20

⇛ DE = 3×20/2

⇛ DE = 3×10

⇛ DE = 30

Answer:

The value of DE = 30.

The value of DC for the given problem is 72.

Key Knowledge:

Answer:

81 miles

Step-by-step explanation:

From the question 7/10 of the trip has been said to be downhill. It therefore means that 3/10 is not downhill.

Miles = 270

Downhill = 7/10

Not downhill = 3/10

Now we have To calculate Miles that are not downhill (uphill)

But first I calculated for the number of downhill miles

270x7/10

Downhill = 189 miles

To get the number of not downhill miles

I subtracted 189 from the total number of miles on the question.

270 - 189

= 81 Miles.

Therefore 81 Miles of the trip are not downhill.

If you have anymore questions or need clarity please let me know on the comment section. Thank you and Good luck!

A rule that we need to know in order to solve this is:

The extended rule would be:

Also, remember another rule:

Keeping all these rules in mind, we can simplify:

THis is the final form.

Answer:

The one that costs more.

Step-by-step explanation:

Because you already know that they have the same volume (amount of ounces) and they are different prices, whichever one is more expensive has the higher cost per ounce. {You don't need to solve for a ratio or anything because they have the same number of ounces!!!}

Answer: If the number of ounces are the same, then the box that costs more will also cost more per ounce.

Answer:

\(5n^2\sqrt{6n}\)

Start by breaking the radicand into assumed positive values.\(15n - 10n = 5n^3\)

\(3+2 = 6\)

Simplify.

\(5n^2\sqrt{6n}\)

Pythagoras theorem is the square of two sides gives the square of third side.

Given,

Height of flagpole= 25 ft

base= 5 ft

Let the broken part be x

The remaining part becomes 25-x

Apply Pythagoras theorem

\(5^{2}\) + \(x^{2}\) = \((25-x)^{2}\)

25 + \(x^{2}\) = \(25^{2}\) + \(x^{2}\) - 2*25*x

25 + \(x^{2}\) = 625 + \(x^{2}\) - 50x

(\(x^{2}\) cancels out on both side)

50x = 625- 25

50x = 600

x = 600/50

x = 12

Answer:

The length of the entire race is 9,5km

Step-by-step explanation:

Required

Determine the length of the race.

To aid my explanation, I have added an attachment which shows the triangular course.

From the attachment, we have:

A as the starting point and the following measurement;

\(\angle B = 11^{\circ\)

\(\angle C = 13^{\circ} + 79^{\circ} = 92^{\circ\)

\(\angle A + \angle B + \angle C = 180^{\circ}\)

\(\angle A = 180^{\circ} - (\angle B + \angle C )\)

\(\angle A = 180^{\circ} - (11^{\circ}+92^{\circ})\)

\(\angle A = 77^{\circ}\)

\(\angle B = 11^{\circ\)

\(\angle C = 92^{\circ\)

\(c = 4.4km\)

Apply sine rule

\(\frac{a}{sin\ A} = \frac{b}{sin\ B} = \frac{c}{sin\ C}\)

\(\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{sin\ 92^{\circ}}\)

\(\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = \frac{4.4}{0.9994}\)

\(\frac{a}{sin\ 77^{\circ}} = \frac{b}{sin\ 11^{\circ}} = 4.403\)

Split to solve for a and b

\(\frac{a}{sin\ 77^{\circ}} =4.403\)

\(\frac{b}{sin\ 11^{\circ}} = 4.403\)

Make a the subject

\(\frac{a}{sin\ 77^{\circ}} =4.403\)

\(a = 4.403 * sin(77^{\circ})\)

\(a = 4.403 * 0.9744\)

\(a = 4.3km\)

Make b the subject

\(\frac{b}{sin\ 11^{\circ}} = 4.403\)

\(b = 4.403 * sin(11^{\circ})\)

\(b = 4.403 * 0.1908\)

\(b = 0.8km\)

The length of the race is:

\(Length = a + b + c\)

\(Length = 4.3km + 0.8km + 4.4km\)

\(Length = 9.5km\)

Answer:

12/18

Step-by-step explanation:

4/9 = 0.4444....

12/18 = 2/3 = 0.66666....

Answer: Si la emisión de gases de efecto invernadero aumenta en un 5% anual, ¿cuánto aumentará la temperatura global en 20 años?

Solución: Dado que cada

Step-by-step explanation:

Una empresa produce 400 toneladas de dióxido de carbono al año. Si cada tonelada de dióxido de carbono contribuye al calentamiento global en 0.05 grados Celsius, ¿cuál será el aumento de temperatura causado por la empresa en un año?

Solución: 400 x 0.05 = 20 grados Celsius

La temperatura media de la Tierra ha aumentado en 1 grado Celsius desde la era preindustrial.

Si el aumento de temperatura está directamente relacionado con la cantidad de dióxido de carbono en la atmósfera, ¿cuánto dióxido de carbono adicional se ha emitido desde la era preindustrial hasta ahora?

Solución: Dado que cada tonelada de dióxido de carbono contribuye a un aumento de 0.05 grados Celsius, 1 / 0.05 = 20. Por lo tanto, se han emitido 20 veces la cantidad de dióxido de carbono necesario para contribuir a un aumento de 1 grado Celsius.

Una central térmica produce 1000 megavatios de electricidad al día. Si la eficiencia de conversión de la central térmica es del 30%, ¿cuántas toneladas de dióxido de carbono se emiten al día?

Solución: La eficiencia de conversión de la central térmica es del 30%, lo que significa que se pierde el 70% de la energía.

Por lo tanto, la cantidad de energía producida por la central térmica es de 1000 x 0.3 = 300 megavatios. Si cada megavatio produce 0.5 toneladas de dióxido de carbono, entonces la central térmica emite 300 x 0.5 = 150 toneladas de dióxido de carbono al día.

Si se reduce la emisión de dióxido de carbono en un 20%, ¿en qué medida se reducirá el aumento de temperatura global?

Solución: Si se reduce la emisión de dióxido de carbono en un 20%, se reducirá el aumento de temperatura global en un 20% x 0.05 = 0.01 grados Celsius.

Si la temperatura media en una ciudad ha aumentado en 0.5 grados Celsius en los últimos 10 años, ¿cuál es la tasa de aumento de temperatura por año?

Solución: La tasa de aumento de temperatura por año es de 0.5 grados Celsius / 10 años = 0.05 grados Celsius por año.

Si la concentración de dióxido de carbono en la atmósfera es de 400 partes por millón (ppm) y se espera que aumente en un 2% anual, ¿cuál será la concentración de dióxido de carbono en 10 años?

Solución: El aumento anual de la concentración de dióxido de carbono es de 400 x 0.02 = 8 ppm. Por lo tanto, la concentración de dióxido de carbono en 10 años será de 400 + 8 x 10 = 480 ppm.

Si la emisión de gases de efecto invernadero aumenta en un 5% anual, ¿cuánto aumentará la temperatura global en 20 años?

Solución: Dado que cada

To know more about invernadero refer here

https://brainly.com/question/25286039#

#SPJ11

Answer:

9.07 > 9.008

Step-by-step explanation:

If you do 9.070, 70 is more than 8 so the answer is B

Answer:

Step-by-step explanation:

Omg wow!!

Answer:

B

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here the vertex = (- 2, - 3 ) , then

y = a(x - (- 2))² - 3 , that is

y = a(x + 2)² - 3

To find a, substitute any point on the graph into the equation

Using the coordinates of the y- intercept (0, 5 )

5 = a(0 + 2)² - 3 ( add 3 to both sides )

8 = a(2)² = 4a ( divide both sides by 4 )

2 = a

y = 2(x + 2)² - 3 → B

Answer:

c

Step-by-step explanation:

Answer: Its either D OR C.

Step-by-step explanation: its less than (suppose to be).

The solution to the given set of systems of equations is (x, y) = (1, -4).

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let's determine the solution using the elimination Method

3x−2y=11  (Equation 1)

3x−y=7(Equation 2)

Multiply the second equation by 2.

6x - 2y = 14    (Equation 3)

Now subtract the first equation from third to eliminate the y.

6x - 2y - (3x - 2y) = 14 - 11

3x = 3

x = 1

Now to find the value of y,

3x−y=7

3(1) − y = 7

y = 7 - 3

y = -4

Therefore, the solution to the given set of systems of equations is (x, y) = (1, -4).

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

Answer: = 5 (a-5b)(a+b)

Step-by-step explanation:

= 5a² - 25b²​

= 5 (a²-5b²)

= 5 (a-5b)(a+b)