Answer:
408.3%
Step-by-step explanation:
A numbered dice has sides labeled 1 to 8. What is the probability of landing on a number greater than 3?
Answer:
5/8
Step-by-step explanation:
The populations of two cultures of bacteria, A and B, after x hours are shown below. Which statement is a correct comparison of bacteria A and bacteria B?
Answer:
(c)
Step-by-step explanation:
Given
See attachment for A and B
Required
Compare A and B
First, we get the initial population of A and B.
The initial population is at when [tex]t =0[/tex]
From the table of bacteria A, we have:
[tex]Initial = 100[/tex] when [tex]t = 0[/tex]
From the graph of bacteria B, we have:
[tex]Initial = 75[/tex] when [tex]t = 0[/tex]
Since the initial of bacteria B is less than that of bacteria A, then (a) is incorrect.
Next, calculate the slope of A and B i.e. the rate
Slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{t_2 - t_1}[/tex]
Where
y = Number of bacteria
t = time
For bacteria A:
[tex](t_1,y_1) = (0,100)[/tex]
[tex](t_2,y_2) = (2,140)[/tex]
So, the slope is:
[tex]m_A = \frac{140 - 100}{2 - 0}[/tex]
[tex]m_A = \frac{40}{2}[/tex]
[tex]m_A = 20[/tex]
For bacteria B:
[tex](t_1,y_1) = (0,75)[/tex]
[tex](t_2,y_2) = (1,100)[/tex]
So, the slope is:
[tex]m_B = \frac{100- 75}{1 - 0}[/tex]
[tex]m_B = \frac{25}{1 }[/tex]
[tex]m_B = 25[/tex]
Since [tex]m_B > m_A[/tex], then the rate of bacteria B is greater than that of bacteria A.
Hence, (d) cannot be true
Next, we determine the equation of both bacteria
This is calculated using:
[tex]y = m(t - t_1) + y_1[/tex]
For bacteria A, we have:
[tex]y = m_A(t - t_1) + y_1[/tex]
Where:
[tex](t_1,y_1) = (0,100)[/tex]
[tex]m_A = 20[/tex]
So:
[tex]y = 20(t - 0) +100[/tex]
[tex]y = 20(t) +100[/tex]
[tex]y = 20t +100[/tex]
For bacteria B, we have:
[tex]y = m_B(t - t_1) + y_1[/tex]
Where:
[tex](t_1,y_1) = (0,75)[/tex]
[tex]m_B = 25[/tex]
So:
[tex]y = 25(t - 0) + 75[/tex]
[tex]y = 25(t) + 75[/tex]
[tex]y = 25t + 75[/tex]
At 3 hours, the population of bacteria A is:
[tex]y = 20t +100[/tex]
[tex]y = 20* 3 + 100[/tex]
[tex]y = 60 + 100[/tex]
[tex]y = 160[/tex]
At 3 hours, the population of bacteria B is:
[tex]y = 25t + 75[/tex]
[tex]y=25 * 3 + 75[/tex]
[tex]y=75 + 75[/tex]
[tex]y=150[/tex]
After 3 hours, bacteria B is 150 while A is 160.
This implies that (c) is correct because the population of B is less than that of A, at 3 hour
Lastly, to check if they will ever have equal population or not, we simply equate both equations.
So, we have:
[tex]y = y[/tex]
[tex]25t + 75 =20t + 100[/tex]
Collect like terms
[tex]25t - 20t = 100 - 75[/tex]
[tex]5t = 25[/tex]
Solve for t
[tex]t = 25/5[/tex]
[tex]t = 5[/tex]
They will have equal population at 5 hours.
Hence, b is incorrect
From the above computation, only (c) is correct
(2.5) . (1.4) *The dot stands for x*
Answer:
3.5 is the the answer if it is 2,5 × 1,4
otherwise it is 40 if (2×5) × (1×4)
Answer:
3.5
Hope that this helps!
What are the factors of the product represented below?
A. (4x + 1)(2x+3)
B. (2x+ 1)(4x+3)
c. (4x + 2)(3x + 1)
D. (8x + 1)(x+2)
A bag with 8 marbles has 8 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is yellow?
Write your answer as a fraction in simplest form.
Answer: 1
Step-by-step explanation:
8 yellow / 8 total = 8/8 = 1
Use limits to find the area between the curve of y = x and the x-axis for the interval from
x= 1 to x= 3.
Links will be reported.
Answer:
The area between the curves is 4 square units.
Step-by-step explanation:
We want to find the area bounded by:
y = x
x = 0
in the interval x = 1, x = 3
This is simply equal to the integral of the function f(x) = x between x = 1 and x = 3
Written as:
[tex]\int\limits^3_1 {x} \, dx[/tex]
And the integral of x is equal to x^2/2
Then:
[tex]\int\limits^3_1 {x} \, dx = (\frac{3^2}{2} - \frac{1^2}{2}) = (\frac{9}{2} - \frac{1}{2} ) = \frac{8}{2} = 4[/tex]
The area between the curves is 4 square units.
What is the area of this kite? A) 20 square meters
B) 36 square meters
C)40 square meters
D) 80 square meters
Answer:
D
Step-by-step explanation:
Answer:
C. 40 square meters
Step-by-step explanation:
The area for a kite can be figure out with this formula. pq/2. Substitute p for 8 & q for 10.
A = pq/2 {Substitutions made}
A = (8 * 10)/2 {Multiply 8 by 10 to get 80.}
A = 80/2 {Divide 80 by 2 to get 40.}
A = 40 square meters
The area of this kite of 40 square meters, which is C.
The model below is shaded to represent an expression. Which expression represnts the model?
Answer:
stop rushing me aaaaaaaaaahhhhhhhh
Step-by-step explanation:
An 18 kg weight is lifted up to 12 m in height and then released in free fall. What are the potential energy, kinetic energy and total energy at: The highest point? 3 m above the ground? At the ground?
Answer:
1) at the highest Point
KE= 0 PE=2116.8 N
2) 3 m above the ground
PE= 529.2 N KE=1587.6 N
3) at the ground
KE= 2116.8 N and PE=0
Step-by-step explanation:
The potential energy is given by
PE= mgh where m is the mass , g is the acceleration due to gravity which is equal to 9.8 m/s² and h is the height.
The kinetic energy is given by KE= 1/2 mv² where m is the mass of the body and v is the velocity.
1) at the highest Point
Now at the highest point the velocity is zero
KE= 1/2 mv²
KE= 0
PE = mgh
PE= 18 *9.8* 12= 2116.8 N
Total Energy = KE + PE= 0 + 2116.8 N= 2116.8 N
2) 3 m above the ground
At 3 m above the ground
PE= mgh
PE= 18 *9.8* 3= 529.2 N
According to law of conservation of energy the total energy ( sum of KE and PE) remains the same at every point.
Total Energy = KE + PE
2116.8 N-529.2N= 1587.6N
KE=1587.6 N
3) at the ground
at the ground the height will be zero
PE= mgh
PE= 18 *9.8* 0= 0 N
According to law of conservation of energy the total energy ( sum of KE and PE) remains the same at every point.
Total Energy = KE + PE
2116.8 N=2116.8 N + 0
KE= 2116.8 N
or
KE= 1/2 mv²
KE = 1/2* 18 *(15.36)²= 2116.8
3RD TIME ASKING PLS HELP
The angles surrounding the point p are 90 degrees
Then using the angle given, find the missing angles.
JPH = 90
HJP = 49
90+49 = 139
180 - 139 = 41
Therefore JHP = 41
HLP = HJP = 49
HLP = 49
KLP = 72
KLP + HLP = 72 + 49 = 121
Therefore, HLK = 121
LP = JP = 16
JP = 16
HL = HJ = 13
HL = 13
Hope this helps! =)
Chris bought a card for 35¢. He
gave the clerk 6 coins. What coins
did he give the clerk?
What is the angle through which the pendulum oscillates between two maximum positions?
Answer:
does this help
Step-by-step explanation:
What is the maximum angle of a pendulum?
Paul Appell pointed out a physical interpretation of the imaginary period: if θ0 is the maximum angle of one pendulum and 180° − θ0 is the maximum angle of another, then the real period of each is the magnitude of the imaginary period of the other.
Can someone please help me out
Answer:
7. The Puerto Rican Parrot's are the limiting factor in this scenario. 8. Yes because the hurricanes are limiting the Parrots population. 9. Other ways species can be limited because of the weather are either any natural disasters.
Step-by-step explanation:
Hope this helped : )
11. A rectangle has a diagonal of length 10 units and one side of length 6 units.
How many units long is the perimeter of the rectangle?
The required perimeter of the rectangle is 28 units.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
Let's denote the length of the rectangle as L and the width as W. We know that the diagonal of the rectangle has a length of 10 units, and we can use the Pythagorean theorem to relate the length, width, and diagonal,
L² + W² = diagonal² [= 10² = 100]
We also know that one side of the rectangle has a length of 6 units, which we can assume is the width W. Therefore, we can solve for the length L,
L² + 6² = 100
L² = 100 - 36
L² = 64
L = 8
So the length of the rectangle is 8 units.
To find the perimeter of the rectangle, we can use the formula P = 2L + 2W, where L is the length and W is the width:
P = 2(8) + 2(6)
P = 16 + 12
P = 28
Therefore, the perimeter of the rectangle is 28 units.
Learn more about rectangles here:
brainly.com/question/15019502
#SPJ2
Jacqueline had $.84 her brother gave her another $.61 write the amount of money Jacqueline now has as a decimal explain
Answer:
$1.45
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Money already had = $.84
Brother gave = $.61
So, total money Jacqueline has = Money already had + Brother gave money
= $.84 + $.61
= $1.45
Explanation : Total money Jacqueline has will be the total of the sum of the money she already had and the money her brother gave him.
Identify the terms and coefficients of each expression.
7 + 8p - 2^r g^2- 14h + 10
terms: terms:
coefficients : coefficient:
Is (10, –6) a solution to this system of equations? ASAP PLS IM IN CLASS
11x + 19y = –4
3x + 8y = –18
Answer:
Yes.
Step-by-step explanation:
(10, -6) are the values to substitute in for x and y, respectively.
11(10) + 19(-6) = 110 - 114 = - 14
3(10) + 8(-6) = 30 - 48 = -18
HELP PLEASEEEEEEEEEEEEEEEEEEEEE
Answer:
22%
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
A
Step-by-step explanation:
Which number line shows that point A is 4 units from 0?
Expand and simplify 2(x+3y)+5(2x+y)
Answer:
Step-by-step explanation:
2(x+3y)+5(2x+y)
2x + 6y + 10x + 5y
Solving like terms
12x + 11y
A triangle has two angles that measure 65 degrees and 35 degrees. What is the measurement of the third angle?
Answer:
THE MEASUREMENT ON THE THIRD ANGLE IS 180!!
Step-by-step explanation:
HELP PLEASE WILL MARK Brainliest. 20 POINTS!!
Answer:
Step-by-step explanation:
9 square + 4 square = c Square
81 + 16 = c Square
98 = c square
98 Square root = c
The answer is Acan you choose me brainliest?
A person swims 11 miles
downriver in the same time
they can swim 7miles
upriver. The speed of the
current is 4 mph, find the speed of the person in still water
hii please help asap ill give brainliest thanks
Answer: Job catagory.
Question below...15 points.
Answer: i think its c
Step-by-step explanation:
but im not totally sure
Answer:
B. s = 9 inches
Step-by-step explanation:
We are given a square with a perimeter of 36 inches, along with a key that the perimeter is given through the equation P = 4s, where "s" stands for the length of one side. We are then asked to find which number s is.
Perimeter is when you add 4 sides altogether, in our case we have 36 inches as our perimeter. Since 4s is the main factor as to how we got 36 inches, we need to set up one system equation.
P = 4s
36 = 4s
Now we need to find a number that multiplies with 4 to get us 36, simple as that. Let's get s alone to retrieve our answer :
36 = 4s
Divide 4 from both sides :
9 = s
s = 9
If an equation has two roots -4 and 7, what could be the
quadratic equation?
Answer:
f(x) = x^2 - 3x - 28
Step-by-step explanation:
The root -4 corresponds to the factor (x + 4); the root 7 corresponds to (x - 7). The equation is thus f(x) = (x + 4)(x - 7) = x^2 - 3x - 28, or
f(x) = x^2 - 3x - 28
Help ill give brainliest and 5 star and thx if u help with all of em and ill give 20 points
plz plz plzzz
Answer:
1. 3mg
2. 3050g
3. 0.025g
4. 5700mg
5. 0.294g
6. 32mg
7. 13700mg
8. 2.441kg
9. 8.24g
10. 0.075kg
11. 430g
12. 0.721g
Step-by-step explanation:
This should be right :)
Please help me. NO LINKS AND DONT USE ME FOR POINTS.
Answer:
111.2 Fahrenheit for the bottom one and 22.8 Celsius for the top one.
Step-by-step explanation:
Following the formulas for the numbers we can get this
Answer:
22.7 degree c
111.2 degree f
Step-by-step explanation:
pls help!!?!?!?!?!?!!?!?!?
Answer:
The first step is to subtract 4 to both sides. Next we must multiply both sides by 2. The answer is - 20