In the model for exponential growth or decay, the amount, or size, at t=0 is represented by __ the amount, or size, at time t is represented by __
In the model for exponential growth or decay, the amount, or size, at t=0 is represented by [tex]N=N_{0}[/tex]. and at time t is represented by [tex]N=N_{0}e^{kt}[/tex]
Let us consider that [tex]N_{0}[/tex] is the initial amount and N is represent that amount after growth or decay in time t .
Model for exponential growth or decay is,
[tex]N=N_{0}e^{kt}[/tex]
Amount at t=0 is,
[tex]N=N_{0}e^{k*0}=N_{0}[/tex]
Learn more:
https://brainly.com/question/12626186
How many kilometers are in 60 miles? Note: There are 1.609kms in 1mi.
Answer:
Your answer is 96.5606 Kilometers.
Step-by-step explanation:
1.609 x 60 = 96.5606
Mark as brainliest if it's correct!
Answer:
96.5606kms
Step-by-step explanation:
What is the chance of rolling two dice and the dice add up to six?
around 13% chance
Step-by-step explanation:
David is traveling at a rate of 62 feet per second. Select all of the following rates that are equivalent or approximately equivalent to David’s rate of 62 feet per second.
Answer:
.68.0314 m/s
.42.272752125mph
68.0314km/h
Step-by-step explanation:
Mario paid $30 to activate his cellular phone plus $50 per month. Type an equation:_
Answer:
50x + 30
Step-by-step explanation:
50 is the amount per month and x is how many months he's paying. If he's paying for 5 months then you replace x with 5 so on and so forth. the + 30 is the amount he paid to active his phone
Answer:
pa rompa pero no poden con mi pom pom con pom pom con pom pom
Step-by-step explanation:
Simplify the following radical:
84
Answer:
±2√21.
Step-by-step explanation:
First, you break 84 down into √4⋅√21.
That is equal to ±2√21.
Hope I helped! Please mark Brainliest!
Answer: 2√21
The answer is 2 radical 21
Step-by-step explanation:
To gather data involving their classmates, 50 fourth graders each filled out a personal information survey sheet. In the category of pets, 22 students had a cat, 17 students had a dog, and 9 students had both a dog and a cat. If a student is randomly selected from this class, what is the probability the student will have a dog or a cat
Answer:
0.60
Step-by-step explanation:
In the category of pets
22 students had a cat = P(C)
17 students had a dog = P(D)
9 students had both a dog and a cat = P(C and D)
The formula to find the Probability of two events =
P(C or D) = P(C) + P(D) - P(C and D)
P(cat or dog) = P(cat) + P( dog) - P(cat and dog)
P(cat or dog) = 22/50 + 17/50 - 9/50
P(cat or dog) = 0.44 + 0.34 - 0.18
P(cat or dog) = 0.60
The probability the student will have a dog or a cat is 0.60
Which expression has the same value as 4÷25 in fraction form
Answer:
4/25
Step-by-step explanation:
It is a fraction with 4 in the numerator and 25 in the denominator.
4
__
25
Joaana saves nickels and quarter in a jar
Answer:
The jar problem
Step-by-step explanation:
Joaana saves nickels and quarter in a jar
She looked to see if she had enough coins to fix her car
She didn't so she went on the side of the street to play her guitar
She played for money by a food bar
She worried she wouldn't make a lot
So she bet illegally on some chickens that fought
She was scared the cops would come and she would get caught
The saw the cops coming and her eyes lit up like a match
She grabbed $500 and she was one they wouldn't catch
It turns out she only needed $10 to fix a tiny scratch
She only had $5 is coins in her jar
Now she has $500 and can fix her car
Hope this helps ya! Keep smiling!
Help me with this please
Answer:
The First Table
Step-by-step explanation:
The y-values increase inconsistently, while the other tables are constant.
what is 3t – 6 = t –2.
Answer:
t=2
Step-by-step explanation:
3t-6=t-2(Group like terms)
3t-t=-2+6
2t=4(Divide both sides by 4)
t=2( This is because when you divide both sides by 2, 2 can divide 4 2 times so that's why we have t as equal to 2)
You start at (-5, 5). You move right 4 units and left 2 units. Where do you end?
Answer:
(-1,3)
Step-by-step explanation:
for the x coordinate all you do is -5 + 4 because you are moving right, and moving right is positive, so if you are moving to the positive direction you add
for the y coordinate you have to do 5 - 2 because you are going left, and left is negitave, so you subtract
What is the exact value of sin(75°)?
Step-by-step explanation:
sin 75°: Now using the formula for the sine of the sum of 2 angles, sin(A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees.
Answer:
D.)
Step-by-step explanation:
Edge
En un molino azucarero cada trabajador recibe un bono mensual de $100.00 el trabajadorbtiene la opcion de gtar dicho bono comorando azucar de ingenio a un precio preferencial de 9.75 el kilogramo
suponiendo que dispone de $100 pesos extras para comprar
¿a partir de cuantoa kilogramos el trabajos empieza a pener de su dienero?
¿cual es la expresion algebraica que representa la situacion del trabajador?
69 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be
given to the second-place finisher, and a bronze medal is to be given to the third-place finisher.
Assume that there are no ties. In how many possible ways can the 3 medals be distributed?
Answer:
The order of finishing is important here, therefore you use permutations rather than combinations. Athlete A winning a gold medal, athlete B silver, and athlete C bronze is not the same as athlete A bronze, athlete B silver and athlete C gold for instance
69P3 = 69! / (69 -3!)
Step-by-step explanation:
A bank teller has 47 $20 and $5 bills in her cash drawer. The value of the bills is $490. How many $20 bills are
there?
Answer:
A bank teller has 47 $20 and $5 bills.
The value of the bills is $490.
Number of $20 bills --> x
Number of $5 bills --> y
x + y = 47 --> x = 47-y
20x + 5y = 490 --> 20x = 490-5y
so
20(47-y) = 490 -5y
940-20y = 490-5y
940-490 = -5y+20y
15y = 450
y= 30
so
x = 47-30
x = 17
IN TOTAL --> 17 $20 bills and 30 $5 bills.
Answer:
x = 17 $20 bills
y = 30 $5 bills
General Formulas and Concepts:
Order of Operations: BPEMDASMultivariable SystemsStep-by-step explanation:
Step 1: Define variables
x = # of $20 bills
y = # of $5 bills
Step 2: Set up systems of equations
[tex]\left \{ {{x+y=47} \atop {20x+5y=490}} \right.[/tex]
Step 3: Solve for x
Rewrite: [tex]\left \{ {{y=47-x} \atop {20x+5y=490}} \right.[/tex]Substitute: [tex]20x+5(47-x)=490[/tex]Distribute 5: [tex]20x+235-5x=490[/tex]Combine like terms: [tex]15x+235=490[/tex]Subtract 235 on both sides: [tex]15x=255[/tex]Divide both sides by 15: [tex]x=17[/tex]By solving for x, we now know that we have 17 $20 bills.
Step 4: Solve for y
Define: x + y = 47Substitute: 17 + y = 47Subtract 17 on both sides: y = 30Now we know that we have 30 $5 bills.
What is your average speed in miles per hour and in feet per second if you travel a mile in 18 minutes?
Answer:
3.3 mph
4.84 ft/s
Step-by-step explanation:
Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.
Please help me as soon as possible! :)
1 1/8 + b ≥ 7/16
Answer: 42
Step-by-step explanation:
Example:
Solve x + 7 < 15
Solution:
x + 7 < 15
x + 7 – 7 < 15 – 7
x < 8
Inequalities Of The Form “x – a < b” or “x – a > b”
Please mark me brainliest if this helped you ! (by clicking the little crown on my answer) it helps a lot thnx! (*≧∀≦*)
The solution of the inequality 1 1/8 + b ≥ 7/16 will be;
⇒ - 11/16 ≤ b
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ 1 1/8 + b ≥ 7/16
Now,
Solve the inequality as;
The inequality is,
⇒ 1 1/8 + b ≥ 7/16
Solve for b as;
⇒ 9/8 + b ≥ 7/16
Subtract 9/8 as,
⇒ 9/8 + b - 9/8 ≥ 7/16 - 9/8
⇒ b ≥ (7 - 18) / 16
⇒ b ≥ - 11/16
⇒ - 11/16 ≤ b
Thus, The solution of the inequality 1 1/8 + b ≥ 7/16 will be;
⇒ - 11/16 ≤ b
Learn more about the inequality visit:
https://brainly.com/question/24372553
#SPJ2
Solve for f: (-1/8)f - (3/4) -
(1/4)f = 11
Answer: The answer is f= –31 1/3.
Step-by-step explanation: To solve for f, you’ll need to simplify the both sides of the equation, and then isolating the variable. Use online advanced calculators to calculate the equation to view all the steps.
A Ferris wheel can accommodate 55 people in 30 minutes. How many people could ride the Ferris wheel in 5 hours? What was that rate per hour?
Answer:
i believe your answer is 550 people, which would be 110/hr
Step-by-step explanation:
Hope that helps!
mrs. wilkerson cut some oranges into 20 equal pieces to be shared by 6 friends how many pieces did each person get and how mant pieces were left over
Answer:
Each friend would get 3 slices and there would be 2 slices left over.
Help no troll answer plz
Answer:
Step-by-step explanation:
Q 4. (25m + 25m) ÷ 25 sec. = 2 m/sec.
Q 5. This question belongs to Physics and not Mathematics!!!
Wavelength (lambda) = Velocity (v) ÷ Frequency ( [tex]sec^{-1}[/tex] or Hz )
f = v / (lambda)
f = 3 / 2 = 1.5 (Hz)
Q 6. 0.060 ÷ 2 = 0.030 m
Matthew went to a amusement park during his summer vacation. He went
with four of his best friends. The admission fee for the park was $10.50. The cost of each ride
ticket is $5.50. His favorite ride was the tilt-O-whirl. Matthew had $36.75 to spend at the
amusement park. How many ride tickets can Matthew buy?
Answer:
4 rides
Step-by-step explanation:
36.75-10.5= 26.25 cost of admission
26.25 divded by 5.5= 4.7777777
so 4 rides with left over change
Answer:he can buy 4 tickets
Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find:
(a) the probability that a single score drawn at random will be greater than 110
(b) the probability that a sample of 25 scores will have a mean greater than 105
(c) the probability that a sample of 64 scores will have a mean greater than 105
(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105
Answer:
(a) 0.2033
(b) 0.0188
(c) 0.0004
(d) 0.095
Step-by-step explanation:
(a) the probability that a score at random is greater than 110 is obtained with a normal distribution of mean 100 and standard deviation 12 can be estimated using the z-table for Z = (110 - 100)/12 = 0.83
So P (X > 110) = P (Z > 0.83) = 0.2033
(b) Probability that a sample of 25 scores will have a mean greater than 105:
we use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{25} = 5[/tex]. That is a standard deviation of 12/5 = 2.4. which gives a Z-value of (105-100) / 2.4 = 2.08
P (X> 105) = P (Z > 2.08) = 0.0188
(c) Probability that a sample of 64 scores will have a mean greater than 105:
we use a standard distribution with the same mean (100) but the standard deviation reduced by a factor of [tex]\sqrt{64} = 8[/tex]. That is a standard deviation of 12/8 = 1.5. which gives a Z-value of (105-100) / 1.5 = 3.33
P (X> 105) = P (Z > 3.33) = 0.0004
(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105
This will be the addition of the two probabilities. We use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{16} = 4[/tex]. That is a standard deviation of 12/4 = 3. which gives us two different Z values to study:
(105-100) / 3 = 1.67
and for X= 95 ==> Z = (95 - 100)/3 = - 1.67
P (X > 105) = P (Z > 1.67) = 0.0475
P (X < 95) = P (Z < -1.67) = 0.0475
which add up to: 0.095.
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.
b) 0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.
c) 0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.
d) 0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 100, hence [tex]\mu = 100[/tex].Standard deviation of 12, hence [tex]\sigma = 12[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 110, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 100}{12}[/tex]
[tex]Z = 0.83[/tex]
[tex]Z = 0.83[/tex] has a p-value of 0.7967.
1 - 0.7967 = 0.2033
0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.
Item b:
Sample of 25, hence [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex].
This probability is 1 subtracted by the p-value of Z when X = 105, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{2.4}[/tex]
[tex]Z = 2.08[/tex]
[tex]Z = 2.08[/tex] has a p-value of 0.9812.
1 - 0.9812 = 0.0188
0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.
Item c:
Sample of 64, hence [tex]n = 64, s = \frac{12}{\sqrt{64}} = 1.5[/tex].
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{1.5}[/tex]
[tex]Z = 3.33[/tex]
[tex]Z = 3.33[/tex] has a p-value of 0.9996.
1 - 0.9996 = 0.0004
0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.
Item d:
Sample of 16, hence [tex]n = 16, s = \frac{12}{\sqrt{16}} = 3[/tex].
Both 105 and 95 are the same distance of the mean, so we find one probability, and multiply by 2.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a p-value of 0.9525.
1 - 0.9525 = 0.0475.
2 x 0.0475 = 0.095
0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.
A similar problem is given at https://brainly.com/question/24663213
Select The correct Description giving brainliest:)
Answer:
D. The quotient of a difference and a number
Step-by-step explanation:
its the only one that makes sense since you are getting the quotient and the sum in the equation. hope this helped!:)
Answer:
C!!!!
Step-by-step explanation:
It is 11:45 AM when can you put the bread in the oven if the brain needs to bake for 30 minutes what time will the bread finished baking
Answer:
The bread will be done baking at 12:15
Step-by-step explanation:
11:45+30=12:15
Answer:
12:15 pm
Step-by-step explanation:
30 minutes is two sets of 15 minutes
15+45=60
Therefore, 12:00pm is 15 minutes of back time
Add the second set of 15 minutes and you get 12:15 pm
where does 3.5 belong o the venn diagram
Answer:
I think i would be c or a but im not sure
step-by-step explanation:
whats the area of a circle if the diameter 6
Answer:
28.27
Step-by-step explanation:
Answer:
18.84
Step-by-step explanation:
6x3.14 = 18.84. multiply by pi
Solve for x: 5x + 15 = 28
Answer:
x= 2 [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
5x + 15 = 28
5x + 15 (-15) = 28 (-15)
5x = 13
5/5x = 13/5
x= 2 [tex]\frac{3}{5}[/tex]
Answer:
x=2.6
Step-by-step explanation:
1)write equation
2)put line through equal sign(if on paper, its way easier to put a line through.)
3)subtract 15 from 15
4)subtract 15 from 28(13)
If it were to be a negative 15 youd add 15. Never add or subtract to a number with a letter!
5)what's left over is 5×=28 divide 5 on both sides.
6)13÷5=2.6
3x + 17 < 47
43<8x-9 can you answer this ASAP please !!!
Answer:
3x + 17 < 47 solving for x = x<10
43<8x-9 solving for x = x = 13/2