Answer:
The population of the rabbits in the lab grew, on average, at a rate of 1.4 rabbits per day from day 35 to 52.
Step-by-step explanation:
The average rate of change of a function between two points is essentially the slope between them.
We have the function:
[tex]r(x)=30(1.02)^x[/tex]
And we want to find the average rate of change from x = 35 to x = 52.
We can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Our first point will be (35, r(35)) and our second point is (52, r(52)). Substitute:
[tex]\displaystyle m=\frac{r(52)-r(35)}{52-35}[/tex]
Note that our outputs y are rabbits and our inputs or x are days. Substitute:
[tex]\displaystyle m=\frac{30(1.02)^{52}-30(1.02)^{35} \text{ rabbits}}{52-35\text{ days}}[/tex]
Use a calculator:
[tex]\displaystyle m\approx\frac{1.4\text{ rabbits}}{\text{day}}[/tex]
So, the population of the rabbits in the lab grew on average at a rate of 1.4 rabbits per day from day 35 to 52.
1) Sales tax in Pennsylvania is 6%. Carlos bought a mountain bike that costs $125.50 before tax. What was the cost of the new bike including sales tax?
Answer:
I’m pretty sure the answer is 113.03
Select all the sets of conditions that will create only one unique triangle.
Substitution
y=7x+3
Answer: x= 1/7 y + -3/7
Step-by-step explanation:
y=7x+3
Step 1: Flip the equation.
7x+3=y
Step 2: Add -3 to both sides.
7x+3+(−3)=y+(−3)
7x=y−3
Step 3: Divide both sides by 7.
PLSSSSS HELPPPPP REWARD BRAINLEISTTT
ANSWER:
number 1 is D, it moves to the right 4 times
number 2 is B, its a vertical stretch of 2
Pretty Petals flower shop is having a 20% off sale on carnation flower arrangements. Beth has ordered a boquet that is originally $24.56. What is the sale price?
Please answer seriouly if you dont i will report
Answer:
19.648
Step-by-step explanation:
because 24.56 / 5 = 4.912
4.912*4=19.648
¿cuanto suman los angulos interiores de un hexagono? Escribe solo el numero que corresponda a la cantidad, sin el simbolo de grados
Answer:
La suma de los ángulos interiores de un hexágono regular es 720°
Step-by-step explanation:
Asumamos que el hexágono presentado en el enunciado sea regular, el cual es formado por seis triángulos equiláteros, Un ángulo interno del hexágono está formado dos ángulos laterales y vecinos de dos triángulos equiláteros, es decir, dos veces 60°, o sea, 120°. Si el hexágono regular tiene seis ángulos internos de igual medida, entonces la suma de los ángulos interiores es 720°.
Three boys were playing balls. Ben's ball bounced eight more times than Menard's . Menard's ball bounced half as many times as Diego's. Diego's ball bounced eight times. How many times did Ben's ball bounced?
Answer:
12 bounce
Step-by-step explanation:
Let :
Number of Menard's bounce = x
Ben's bounce = x + 8
Diego's bounce = 2x
If Diego's bounce = 8
Then ;
2x = 8
x = 8/2
x = 4
Ben's bounce = x + 8
Ben's bounce = 4 + 8 = 12
Asif and Ben share $2100 in the ratio Asif: Ben = 3:7.
Work out how much Asif receives.
$2100
Answer:
$630 for Asif
Step-by-step explanation:
Asif gets 3/10ths
So
2100 x 3/10 = $630 for Asif
The probability of winning a game is
2/5
What is the probability of losing the game?
Answer:
3/5
Step-by-step explanation:
5/5-2/5=3/5
How much change did she receive?
Answer:b ryry
Step-by-step explanation:
Answer:
8.67dollars
Step-by-step explanation:
20-3.25-3.79-4.29=8.67
Raylin went to the park with her friends and found a soccer ball. She picked up the soccer ball and kicked it as high as she could. The path of the ball can be represented by h= -16t2 +27t+3
What is the maximum height of the soccer ball? _______________________
How long will it take the ball to reach the ground?
Answer:
The maximum height is: [tex]h(t_{max})=14.39 \: u[/tex]
The ball reaches the ground in 1.79 s.
Step-by-step explanation:
We need to take the derivative and equal to zero to find the time at the maximum height.
[tex]h(t)=-16t^{2} +27t+3[/tex] (1)
[tex]\frac{dh(t)}{dt}=-32t +27=0[/tex]
[tex]t_{max} =\frac{27}{32}[/tex]
[tex]t_{max} =0.84\: u[/tex]
Now, we just need to put t(max) into equation (1) to find h(max)
[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]
[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]
[tex]h(t_{max})=14.39 \u[/tex]
If we want to get the time when the ball reaches the ground we just need to equal h(t) to zero.
[tex]0=-16t^{2} +27t+3[/tex]
Let's solve this quadratic equation.
We will get two solutions and we must choose the positive value.
t1 = 1.79 u
t2 = -0.10 u
Therefore, the ball reaches the ground in 1.79 u.
I hope it helps you!
A circle with its dimensions, in centimeters (cm), is shown.
What is the area, in square centimeters, of the circie?
Answer:
50.27
Step-by-step explanation:
helppppppppp meeeeeeeeeee
Answer:
68 in^2
Step-by-step explanation:
Area of two trapezoids:
(7+3)5 = 50
Area of two squares:
2(3x3) = 2(9) = 18
50 + 18 = 68
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
68
Step-by-step explanation:
3x3=9 (top square)
3x3=9 (bottom square)
(1/2) (5) (2) = 5 (triangle 1)
(1/2) (5) (2) = 5 (triangle 2)
(1/2) (5) (2) = 5 (triangle 3)
(1/2) (5) (2) = 5 (triangle 4)
10 x 3 = 30 (middle rectangle)
9+9+5+5+5+5+30=68
The area of the rectangle is 65 yd^2,and the length of the rectangle is 3 yd less than twice the width. Find the dimensions of the rectangle
Answer: Length = 10cm
Width = 6.5cm
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Therefore, the length of the rectangle will be: = (2 × x) - 3 = 2x - 3
Therefore area of a rectangle = length × width
x(2x - 3) = 65
2x² - 3x = 65
2x² - 3x - 65 = 0
2x² + 10x - 13x - 65 = 0
2x(x + 5) - 13(x + 5) = 0
(2x - 13)(x + 5) = 0
2x - 13 = 0
2x = 13
x = 13/2
x = 6.5
Width = 6.5cm
Length = 2x - 3
= 2(6.5) - 3
= 13 - 3
= 10cm
Therefore, the length of the rectangle is 10cm and the width is 6.5cm.
Laura lleno su pecera hasta la mitad 40 cm de altura 60 cm de ancho 20 cm dekargo cuanto espacio ocupa la pecera
Answer:
La pecera ocupa 48.000 centímetros cúbicos de espacio.
Step-by-step explanation:
Dado que Laura lleno su pecera hasta la mitad, y la misma mide 40 cm de altura, 60 cm de ancho y 20 cm de largo, para determinar cuánto espacio ocupa la pecera se debe realizar el siguiente cálculo, sabiendo que el volumen de un prisma rectangular surge de multiplicar su altura por su longitud y su anchura:
40 x 60 x 20 = X
2400 x 20 = X
48000 = X
Por lo tanto, la pecera ocupa 48.000 centímetros cúbicos de espacio.
ANSWER PLEASE I WILL MARK BRAINLIEST THANK YALL SO MUCH
Answer:
The answer is 95
Step-by-step explanation:
Can you help on this problem
r + s² at r = 4, s = 1
show work plz
NO LINKS
Answer:
5Step-by-step explanation:
Given Question:[tex]r + {s}^{2} [/tex]
Given values -
r = 4 , s = 1
Therefore putting their values in the question,
[tex]4 + {1}^{2} [/tex]
= 4 + 1
= 5 (Ans)
7/8 = m - 5/12 What is m?
Answer:
31/24 or 1.29
Step-by-step explanation:
First isolate m to one side of the equation
7/8+5/12=m
21/24 + 10/24=m
31/24=m or you can simplify to get 1.29
HELP ASAP. BEING TIMED AND WILL GIVE BRAINLIEST!!!
Draw and upload a box plot representing the following data set: 22,35,18,30,37,20,40,18,38,38,23,19,27,31,34
Answer:
hope this helps you out :)
3 feet
4 feet
inches
6 inches
Is Inches
What is the volume, in cubic feet, of the
cement used to make the steps? Show or
explain all of the steps you used to determine
your answer.
Answer: 12 for the main square
Step-by-step explanation:
take the 4 and the 3 and multiply it, makes 12. you see how each stair is 6 inches and there is 3 full steps which makes it 1.50 feet. 12 x 1.50 is 18. that makes your main square. I'm sorry but I cant really help you with the steps but that was also confusing to me.
The height h and the base area B of a cylinder are given. Find the volume of the cylinder. Write your answer in terms of it. h=2 units B=25pi symbol square units
here's the solution,
[tex] \boxed{\small{volume = area \: \: of \: base \: \: \times height}}[/tex]
so,
=》
[tex]v = 25\pi \times 2[/tex]
=》
[tex]v = 50\pi[/tex]
if you solve for π then the value will be :
157but in terms of π the value will be :
50 πThe volume of the cylinder is 157 unit³.
What is volume?The amount of space occupied by a three-dimensional figure as measured in cubic units.
Given: B= 25π, h= 2 units
Base area= 25π
πr²= 25π
r²=25
r=±5 units
Now, Volume of cylinder= πr²h
= 3.14* 5* 5* 2
= 157 unit³
Hence, the volume of cylinder is 157 unit³.
Learn more about volume of cylinder here:
https://brainly.com/question/16134180
#SPJ2
Which number is closest to the value of the upper quartile?
Answer:
180 is closest to upper quartile
Step-by-step explanation:
i really don't get it
Answer:
D
Step-by-step explanation:
I don't know how to do it I used an app
Rectangle JKLM is shown.
To the nearest tenth of a
entimeter, what is the distance from j to M?
A
5.0 cm
B
10.2 cm
С
15.3 cm
D
21.0 cm
Answer:
B
Step-by-step explanation:
We can use the Pythagorean theorem to solve this.
(13)^2 = (8)^2+x^2
169 = 64 + x^2
x^2 = 105
x is approximately 10.2, so B
Hii pretty human, could pls help meeeee :((((((
The local fair charges a flat fee for admission plus an additional cost for ride tickets. Last year, Imran purchased 10
tickets and spent a total of $20. His friend, Anton purchased 21 tickets and spent a total of $36.50 at the fair. The
relationship between the # of tickets and total spent is linear. Algebraically determine the following:
a) The price per ticket.
b) The admission fee.
i'm really good at all kinds of math, but this doesn't make any sense.
Answer:
a.the price per ticket?
Select the three statements that are true. A. -11 > -6 B. -5 > -7 C.-4 > -6 D. -9 > 7 E. 8 (-1 F. -5 -4
plss answer
Answer: B, C, And F
Step-by-step explanation:
My answer is correct because, for the negative numbber whatever is close to 1 like -1 is greater then the other negative number.
#[tex]AnimePower[/tex]
Complete the equations below. 8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals \text{ tenths}\div 4 tenths÷4start text, space, t, e, n, t, h, s, end text, divided by, 4 8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals \text{ tenths} tenthsstart text, space, t, e, n, t, h, s, end text 8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals
Answer: first one is 88 tenths, next one is 22 tenths, and last one is 2.2
Step-by-step explanation: i just pressed get help in khan academy ha ha,
last month you spend $50 on clothing this month you spend 110% of what u spend last month
Answer:
If you spend 110% more you would have spent 105 dollars. 110 percent of 50 is 55 so I added that to the orginal amount to get what you would have spent if you spent 110 percent more
help!!!!!! algebra 1
Answer:
f(8) = 195
Step-by-step explanation:
When the x if f(x) is replaced with an 8, this just means that it is the eighth term. All you really have to do is replace every X in the function to find the answer.
f(8) = 3 + 3(8)²
f(8) = 3 + 3(64)
f(8) = 3 + 192
f(8) = 195
Hope this helps!
Answer:
195
Step-by-step explanation:
plug 8 =x into the equation
Use Pythagorean theorem to solve the following right triangles, put your answer in simplest radical form:
Answer:
Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx
bit.[tex]^{}[/tex]