Answer:
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A population of protozoa develops with a constant relative growth rate of 0.4142 per member per day. On day zero the population consists of five members. Find the population size after eight days. Step 1 Since the relative growth rate is 0.4142, then the differential equation that models this growth is dP dt
Given :
A population of protozoa develops with a constant relative growth rate of 0.4142 per member per day.
On day zero the population consists of five members.
Differential equation : [tex]\dfrac{dP}{dt}=0.4142P[/tex]
To Find :
The population size after eight days.
Solution :
Rate of growth , R = 0.4142 .
Now ,
Differential equation is :
[tex]\dfrac{dP}{dt}=0.4142P\\\\P_n=Ce^{0.4142n}[/tex]
For n = 0 .
[tex]5=C(1)\\C=5[/tex]
So ,the relation is [tex]P_n=5e^{0.4142n}[/tex] .
Putting n = 8 .
[tex]P_8=5e^{0.4142\times 8}\\\\P_8=137.42[/tex]
Hence , this is the required solution .
Find f (7) when f (x) = -5x + 2.
Step-by-step explanation:
f(x) = -5x + 2
f(7) = (-5)(7) + 2
= -35 + 2
= -33
Answer:
f (x) = -5x + 2.
= -5*7+2
= -13
Step-by-step explanation:
I guess I was help full for u
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HELP!! PLZ! EXPLAIN WHY U THINK YOUR ANSWER IS CORRECT AND PLZ DO THE CORRECT ANSWER I WILL ALSO TELL U IF YOUR ANSWER IS WRONG
Answer:
10.29 meters per second and 10.26 meters per second
Step-by-step explanation:
200/ 19.44 = 10.29
100/ 9.75 = 10.26
Answer:
Option no. 1
Step-by-step explanation:
Speed= [tex]\frac{distance}{time}[/tex]For the 200 meter race:
his speed is [tex]\frac{200}{19.44}[/tex] = 10.29 meters per seconds
For the 100 meter race:
his speed is [tex]\frac{100}{9.75}[/tex] = 10.26 meters per seconds
Supervisor: "Representatives can credit a customer's account up to 20% of the full
amount due on the bill."
Representative: "My customer is threatening to leave our company. The customer's
bill is $333.00. I could offer the customer a credit of
$40.00
$48.00
$55.00
$60.00
$66.60
Answer:
$66.6
Step-by-step explanation:
Given that,
The customer's bill is $333.00. Representatives can credit a customer's account up to 20% of the full amount due on the bill.
We need to find 20% of $333 as follows :
[tex]=20\%\ \text{of}\ 333\\\\=\dfrac{20}{100}\times 333\\\\=\$66.6[/tex]
Hence, I could offer the customer a credit of $66.6. Hence, the correct option is (E).
If Carlos had saved $9.00 from his allowance to spent at jo jo’s arcade , how many games could he play first 3 games for then aft 75 cents a game
Answer:
15 games
Step-by-step explanation:
9 divided by 0.75 = 12
12 + 3 free games = 15
I need help with 1-3 i don’t understand that problems and its already over due
Step-by-step explanation:
For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).
1) y = -0.5t² + 2t + 38
The maximum is at:
t = -2 / (2 × -0.5)
t = 2
The maximum height is:
y = -0.5(2)² + 2(2) + 38
y = 40
The coordinates of the vertex are (2, 40). That means the missile reaches a maximum height of 40 km after 2 minutes.
2) y = -4.9t² + 12t + 1.6
The maximum is at:
t = -12 / (2 × -4.9)
t = 1.22
The maximum height is:
y = -4.9(1.22)² + 12(1.22) + 1.6
y = 8.95
The coordinates of the vertex are (1.22, 8.95). That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.
3) y = -0.04x² + 0.88x
The maximum is at:
x = -0.88 / (2 × -0.04)
x = 11
The maximum height is:
y = -0.04(11)² + 0.88(11)
y = 4.84
The maximum height of the tunnel is 4.84 meters.
The maximum width is when y = 0.
0 = -0.04x² + 0.88x
0 = -0.04x (x − 22)
x = 22
The maximum width is 22 feet.
An irrational number multiplied to a zero equals a rational number
O True
O False
Answer:
Irrational
Step-by-step explanation:
Answer:
false. an irrational number multiplied to a zero equals an irrational number.
-(4+H)=3h
Solve for h
what kind of number is 0 and why? if you know the others that'd be great!!
Answer:
0 is a rational, whole, integer and real number.
Step-by-step explanation:
0 is a rational, whole, integer and real number.
1
7) What equation is missing in the steps to solvex+6=27
2
Equation
Steps
1
-x+6=2
Original equation
1
2
Multiplication property of equality
8) You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you
want to buy a pair of pants, which will have 4% sales tax. What is the inequality that represents
the pre-tax price of a pair of pants that you can afford if you buy the drink?
a. +0.04% +1.50 > 60
C. X+0.04x + 1.50 < 60
b. +0.04x +1.50 2 60
d. 1+0.04x + 1.50 S 60
Answer:
I'll answer it
Step-by-step explanation:
do you need it now
Pls help I don't understand :( Will give Brainliest
Answer:
a. [tex]\frac{3}{50}[/tex]
Step-by-step explanation:
The formula for rate of change is:
[tex]rate .of .change = \frac{change. in. y}{change .in. x}[/tex] = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Your points are (1000, 310) and (3500, 460)
So
[tex]x_{1}[/tex] = 1000
[tex]y_{1}[/tex] = 310
[tex]x_{2}[/tex] = 3500
[tex]y_{2}[/tex] = 460
Plug into the formula
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
[tex]\frac{460-310}{3500-1000}[/tex] = [tex]\frac{150}{2500}[/tex] Reduce, each are divisible by 50
150/50 = 3 2500/50 = 50
so:
[tex]\frac{3}{50}[/tex]
BRAINLIEST PLEASE HELP Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. passing through (3,5) and (8,15).
Answer:
Step-by-step explanation:
(15 -5)/(8 - 3)= 10/5= 2
y - 5 = 2(x - 3)
y - 5 = 2x - 6
y = 2x - 1
(5.23x + 3.76) − (3.67x − 6.39)
Answer:
(5.23x + 3.76) - (3.67x - 6.39)
K C C
(5.23x + 3.76) + (-3.67x + 6.39)
1.56x + 10.15
Step-by-step explanation:
3.88 milligrams is equal to how many centigrams?
-0.0388 centigrams
-0.388 centigrams
-38.8 centigrams
-388 centigrams
Answer:
B
0.388 centigrams :)
If x is 6, then 7x =
Answer:
42
Step-by-step explanation:
Answer:
42 is the answer because 7*6
9. What is the angle of rotation for the following figure?
HELP
HELPPP
Answer:
90° im pretty sure is the correct answer
Given f(x) = 3x + 4. Find F-1(7)
Please help I’ll give you brainiest answer 100points!!!!!
Answer:
f⁻¹(7) = 1
Step-by-step explanation:
Step 1: Write out function
f(x) = 3x + 4
Step 2: Find f⁻¹(x) (or known as inverse f(x))
y = 3x + 4
x = 3y + 4
-3y + x = 4
-3y = 4 - x
y = -4/3 + x/3
Step 3: Plug in 7 into inverse f(x)
f⁻¹(7) = 7/3 - 4/3
f⁻¹(7) = 3/3
f⁻¹(7) = 1
Answer: Guy above me is right
Step-by-step explanation:
olve. 4 + x 7 = 2 A) -14 B) 10 C) 12 D) 42
Answer:
-14 I believe
Step-by-step explanation:
Answer:
Its A.
Step-by-step explanation:
Express the first number as a percentage of the second number. 29 pounds of recyclable trash in a barrel of 53 pounds of trash. The 29 pounds of recyclable trash is what % of the barrel of 53 pounds of trash.
Divide first number by second number:
29 /53 = 0.54716981
Multiply by 100 to get percent:
0.54716981 x 100 = 54.716981%
Round the answer as needed.
two more than4 times a number is -18
Describe the shape of the distribution shown on the dot plot.
The dot plot displays the golf scores from a golf tournament.
132 , 134, 136, 138, 148
(Golf Score Strokes)
A. Uniform
B. Bimodal
C. Left Skewed
D. Right Skewed
E. Symmetrical
F. Bell shaped
Answer:
Then it's probably D. Right-Skewed
Solve the inequality and graph the solution set for 2(3r − 10) ≤ 3r − 5
Answer:
r≤5
Step-by-step explanation:
Steps are in the photo. Hope this helps.
If you were to teach someone how to graph the coordinate (5.-6), what would you say?
The measure of angle
what is the answer 3x+15=8x
Answer:
x=3
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
Is the square root of 3,600 rational or irrational? Explain.
Answer:
Rational. the square root of 3600 is a real, rational number, 60.
Step-by-step explanation:
Answer: Rational
Step-by-step explanation:
THREE WAYS TO DETERMINE:
If the number given is an integer, it is rational.
If the number given is fraction, it is rational.
If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)
----------------------------------------------------------
Square root of 3600=60
60
It is an integer, which fits the first point
So, it is rationalHope this helps!! :)
Subtract.(–3x2+4x4–8x)–(–6x+3x4+2)
Answer:
x⁴ - 3x² - 2x - 2
Step-by-step explanation:
Step 1: Write out expression
(-3x² + 4x⁴ - 8x) - (-6x + 3x⁴ + 2)
Step 2: Distribute negative
-3x² + 4x⁴ - 8x + 6x - 3x⁴ - 2
Step 3: Combine like terms (x⁴)
x⁴ - 3x² - 8x + 6x - 2
Step 4: Combine like terms (x)
x⁴ - 3x² - 2x - 2
y=8x²-16x + 10
G(-4)=20
Answer:
2890
Step-by-step explanation:
g(-4) means that we are solving for y when x = 20
y = 8(20)² - 16(20) + 10
y = 8(400) - 320 + 10
y = 3200 - 320 + 10
y = 2880 + 10
y = 2890
Best of Luck!
5x+ 9 = 80
O A
x = -7 or x= 25
OB.
x= -25 or x= 7
O C.
x= 7 or x= 16
OD.
x= -25 or x= 9
Answer:
I do not see anything that matches what I got. I got x=14.2
Step-by-step explanation:
5x+9=80
5x=71
x=14.2
which equation represents a line that passes through (2,-1/2) and has a slope of 3
plzzz help me
Answer:
C
Step-by-step explanation:
The slope-point formula is y-y₁=m(x-x₁). So if you plug in your information you get C.