The sum of-3 and four times a number is no more than -11." Whats the inequality

PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE R

Reika [66]

9514 1404 393

Answer:

0 ≤ m ≤ 7
0.4541 cm/month; average rate of growth over last 4 months of study

Step-by-step explanation:

Part A:

The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...

0 ≤ m ≤ 7

__

Part B:

The y-intercept is the value when m=0. It is the length of the fish at the start of the study.

__

Part C:

The average rate of change on the interval [3, 7] is given by ...

(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)

≈ 0.4541 cm/month

This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.

3 0

2 years ago

Let X denote the temperature (degree C) and let Y denote thetime in minutes that it takes for the diesel engine on anautomobile

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

Given $f_{XY} (x,y) = c(4x + 2y +1) ; 0 < x < 40\,and\, 0 < y$

a)

we know that $\int\limits^\infty_{-\infty}\int\limits^\infty_{-\infty} {f(x,y)} \, dxdy=1$

therefore $\int\limits^{40}_{-0}\int\limits^2_{0} {c(4x+2y+1)} \, dxdy=1$

on integrating we get

c=(1/6640)

b)

$P(X>20, Y>=1)=\int\limits^{40}_{20}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy$

on doing the integration we get

=0.37349

c)

marginal density of X is

$f(x)=\int\limits^2_{0} {\frca{1}{6640}(4x+2y+1)} \, dy$

on doing integration we get

f(x)=(4x+3)/3320 ; 0<x<40

marginal density of Y is

$f(y)=\int\limits^{40}_{0} {\frca{1}{6640}(4x+2y+1)} \, dx$

on doing integration we get

$f(y)=\frac{(y+40.5)}{83}$

d)

$P(01)=\int\limits^{40}_{0}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy$

solve the above integration we get the answer

e)

$P(X>20, 0$

solve the above integration we get the answer

f)

Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.

we know f(x,y)

In the (c) bit we got f(x) and f(y)

f(x,y)cramster-equation-2006112927536330036287f(x).f(y)

therefore X and Y are not independent

4 0

3 years ago

Compared to last year, the population of boom town has increased by 25%. The population is now 6,600. What was the population la

prisoha [69]

Answer:

5280people

Step-by-step explanation:

Given parameters:

Percentage increase of population = 25%

Population now = 6600

Unknown:

Population last year = ?

Solution:

Let the population last year = y;

Then;

Percentage of last years population plus the population of last year should give us this year's population;

( $\frac{25}{100}$ of y) + y = 6600

0.25y + y = 6600

1.25y = 6600

y = $\frac{6600}{1.25}$ = 5280people

Last year, there was 5280people in the locality.

5 0

3 years ago

A taxi company charges $3 for pick-up plus $0.65 for each mile. Select the expressions that represent the cost in dollars for a

alexira [117]

the equation is y=0.65x+3

8 0

4 years ago

Write the equation of the line that passes through (8,1) and is perpendicular to the line whose equation is y=−4x+2. Show all wo

scoundrel [369]

Answer:

$\displaystyle y = \frac{1}{4}x - 1$

Step-by-step explanation:

1 = ¼[8] + b

2

$\displaystyle -1 = b \\ \\ y = \frac{1}{4}x - 1$

* Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES], so −4 becomes ¼.

I am joyous to assist you anytime.

3 0

3 years ago

The sum of-3 and four times a number is no more than -11." Whats the inequality ​

The sum of-3 and four times a number is no more than -11." Whats the inequality