answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vsevolod [243]
2 years ago
10

A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350

butterflies in the first generation, how many will there be by the 19th generation?
Answer the question with all work shown. Thanks
Mathematics
1 answer:
kap26 [50]2 years ago
7 0

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

You might be interested in
The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f(x) = 50
pashok25 [27]

Answer:

the answer is A

Step-by-step explanation:

edgenuity

6 0
1 year ago
Write the quadratic equation whose roots are
maks197457 [2]
The quadratic equation y = ax^2 +bx+c can be written in the form:
y = a(x-p)(x-q)
Where p and q are the roots of the equation.
Given p = 4, q = -2, a = 3, the quadratic will look like this:
y = 3(x-4)(x+2)
Finally, distribute and combine like terms to put it in standard form.
y = 3(x^2 - 4x+2x -8) \\  \\ y = 3(x^2 -2x-8) \\  \\ y = 3x^2 -6x -24
5 0
2 years ago
A teacher wants to see if a new unit on factoring is helping students learn. She has five randomly selected students take a pre-
sergiy2304 [10]

Answer:

The <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.

Step-by-step explanation:

The confidence interval formula for mean difference for a paired data is as follows:

CI=\bar x_{d}\pm t_{\alpha/2, (n-1)}\times \frac{s_{d}}{\sqrt{n}}

Here,

\bar x_{d} = sample mean of the difference,

s_{d} = sample standard deviation of the difference,

<em>n </em>= sample size (both samples are of same size).

t_{\alpha/2, (n-1)} = critical value of <em>t</em>

(<em>n</em> - 1) = degrees of freedom

The information provided is:

<em>n</em> = 5

Confidence level = 95%

The critical value of <em>t</em> is:

t_{\alpha/2, (n-1)}=t_{0.05/2, (5-1)}

               =t_{0.025, 4}

               =2.776

*Use a <em>t</em>-table for the critical value of <em>t</em>.

Thus, the <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.

4 0
2 years ago
It takes Sam 4 hours to rake the front lawn while his brother, Dave, can rake the lawn in 2 hours. How long will it take them to
Len [333]

Step-by-step explanation:

6

5 0
2 years ago
Use rounding to estimate the product. Is your estimate an underestimate or an overestimate? 8 × 9.82
kkurt [141]

Answer:

Over

Step-by-step explanation:

7 0
1 year ago
Other questions:
  • Luis is saving money to purchase a new video game. He has a total of 30 coins consisting of nickels and dimes. The value of the
    8·2 answers
  • Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books
    8·2 answers
  • 20 POINTS Compost costs $10 per cubic yard and topsoil costs $2 per cubic yard. Maria needs more than 10 cubic feet of topsoil.
    14·2 answers
  • Simplify the expression. write your answer using decimals. 22.5 + 7(n−3.4)
    9·2 answers
  • Triangles ABC, EDC, and EFG are similar triangles. The measures of the three interior angles of triangle EFG are °, °, and °.
    5·2 answers
  • Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x2+3x-8?
    15·2 answers
  • A spinner has four equally sized sectors that are numbered 2, 4, 4, and 5. The spinner is spun twice and the product of the outc
    7·1 answer
  • La distancia de Urano al Sol es 2 870 990 000 km y la distancia de la Tierra al Sol es 1,496 × 108 km. Aproximadamente, ¿cuántas
    12·1 answer
  • What is 200 percent of (0.020(5/4) + 3 ((1/5) - (1/4)))
    8·1 answer
  • Solve the linear equation for x <br><br> -4.8(6.3x-4.18) =-58.56<br><br> X=
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!