Answer:
b
Step-by-step explanation:
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer:
A. x - 4
D. x + 8
Step-by-step explanation:
To find the two binomial that are factors of the trinomial, you split the middle term into two:
[tex]x^2[/tex] + 4x - 32
[tex]x^2[/tex] - 4x + 8x - 32
Group:
([tex]x^2[/tex] - 4x) (8x - 32)
Take out GCF (Greatest Common Factor):
x(x - 4) 8(x - 4)
(x + 8) (x - 4)
Figure 4 shows a container in the shape of an inverted right circular cone which contains some water.
The cone has an internal radius of 2.5 m and a vertical height of 4 m.
At time t seconds, the height of the water is h m, the volume of the water is V m3 and water is modelled as leaking from a hole in the bottom of the container at a rate of h m3 s –1.
see on picture!
Given that the container was initially full of water,
(b) find an equation, in terms of h and t, to model this situation.
(3)
It takes close to 43 minutes for the container to empty.
(c) Use this information to comment on the suitability of this model.
Answer: a) See below; b) 2/5([tex]h^{\frac{5}{2} }[/tex]) = - [tex]\frac{1}{200}[/tex].t + 0.215
Step-by-step explanation:
a) To determine the radius (x) of the volume of water remaining, use proportionality of similar triangles:
[tex]\frac{x}{2.5} = \frac{h}{4}[/tex]
x = 0.625h
Volume is
V = 1/3.π.(0.625h)².h
V = 1/3.π.0.391.h³
Using the chain rule to determine the rate of change of height in function of t:
[tex]\frac{dV}{dt} = \frac{dV}{dh} . \frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt} = \frac{dV}{dt}/\frac{dV}{dh}[/tex]
[tex]\frac{dh}{dt} =[/tex] (π/512).[tex]\sqrt{h}[/tex] / 0.391.π.h²
[tex]\frac{dh}{dt} =[/tex] (π . [tex]\sqrt{h}[/tex]) / 512.0.391.π.h²
[tex]\frac{dh}{dt} =[/tex] [tex]\frac{h^{\frac{-3}{2} } }{200}[/tex]
[tex]h^{\frac{3}{2} }\frac{dh}{dt}=\frac{-1}{200}[/tex]
b) To find an equation:
[tex]h^{\frac{3}{2} }[/tex] dh = -(1/200) dt
∫ [tex]h^{\frac{3}{2} }[/tex] dh = -1/200 ∫dt
[tex]\frac{2.h^{\frac{5}{2} } }{5}[/tex] = [tex]\frac{-1.t}{200}[/tex] + c
It is known that it takes 43 minutes to empty the cone, so:
0 = [tex]\frac{-1.43}{200}[/tex] + c
c = 0.215
The equation is:
[tex]\frac{2.\sqrt[5]{h^{2}} }{5}[/tex] = [tex]\frac{-t}{200}[/tex] + 0.215
c) The equation shows how height and time are inversely proportional to each other: as time goes up, height goes down. Mathematically, though, time cannot be negative. So, the model is suitable for modeling time and height but is not mathematically correct.
What would your life be if you were shrek?
Answer:
No more lonely time
Step-by-step explanation:
I have shriek to keep me company in bed;)
Answer:
- Something unpredictable -
Step-by-step explanation:
I would just scream all day about my appearance
Liv hizo un ponche al mezclar 2,8 litros de jugo de naranja, 0,75 litros de jugo de piña y 1,2 litros de ginger ale. Liv dividirá el golpe en partes iguales entre 5 contenedores. ¿Cuánto golpe habrá en cada contenedor?
What Value if n makes the equation true
1/2(n + 4)=6
N=8
1/2 x (8+4) = 6
1/2 x 12 = 6
Solve for a given 2e^a =4b
Answer:
a = ln(2b)
Step-by-step explanation:
Divide by 2 and take the natural log.
e^a = (4b)/2 = 2b
a = ln(2b)
At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.5 per day on a typical Wednesday. Let X be the number of cancellations on a particular Wednesday. (a) Justify the use of the Poisson model. Cancellations are not independent. Cancellations are independent and similar to arrivals. Most likely cancellations arrive independently. (b) What is the probability that no cancellations will occur on a particular Wednesday
Answer:
a) Cancellations are independent and similar to arrivals.
b) 22.31% probability that no cancellations will occur on a particular Wednesday
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given time interval.
Mean rate of 1.5 per day on a typical Wednesday.
This means that [tex]\mu = 1.5[/tex]
(a) Justify the use of the Poisson model.
Each wednesday is independent of each other, and each wednesday has the same mean number of cancellations.
So the answer is:
Cancellations are independent and similar to arrivals.
(b) What is the probability that no cancellations will occur on a particular Wednesday
This is P(X = 0).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231[/tex]
22.31% probability that no cancellations will occur on a particular Wednesday
What is the product of 1/2 x 3
Answer:
3/2
Hope this helps!
how do u solve -10 + z - 1 = 7z - 5 ?
Answer:-1
Step-by-step explanation:
-10+z-1=7z-5
Collect like terms
7z-z=-10-1+5
6z=-6
Divide both sides by 6
6z/6=-6/6
z=-1
karen brought 3/8 of a gallon of ice tea to a party. Robin brought 15/16 of a gallon of ice tea to the same party. How much ice tea did they have together?
Answer:
1 5/16 gallon
Step-by-step explanation:
Gallon of ice brought by Karen = 3/8
Gallon of ice brought by Robin = 15/16
Total ice team brought by them is sum of Gallon of ice brought by Karen + Gallon of ice brought by Robin
Total ice team brought by Karen and Robin = 3/8 + 15/16
=> 3*2/8*2 + 15/16
we are multiplying with 2 both numerator and denominator in 3/8 so sas the denominator becomes 16 as in other fraction denominator is 16
=> 6/16 + 15/16
=> (6+15)/16 = 21/16
since 21/16 is improper fraction, converting it in mixed fraction we have
21/16 = 1 5/16 gallon
Thus , Karen and Robin have 1 5/16 gallon ice tea together.
What is the difference in the results if you calculate
(−7)² versus −7² . Why does the parentheses give us a
different result?
Answer:
Order of Operations.
Step-by-step explanation:
If we include -7 in the parenthesis, the exponent acts the negative as well. Therefore:
(-7)²= 49.
However, when squaring without the parenthesis, it will give us a negative number because:
The order of operations, or PEMDAS, states that exponents come before multiplication. Therefore, when doing '-7²', you would first need to square the '7', giving us:
-7² = -49
However, within parenthesis, everything inside will be squared.
Need help with this question
Answer:
10 pennies 13 nickels
Step-by-step explanation:
pennies are worth 1 cent and nickels are worth 5. 13 times 5 is 65 and 10 times 1 is 10. 65 plus 10 is 75 and 13 is 3 more nickels than 10 pennies.
There are 20 peoples in a singing group. The mean age of 12 of the members is 18years. The mean age of the remaining 8 is 23 years. What is the mean age of the 20 members of the singing group?
Answer:
20
Step-by-step explanation:
The sum of the ages of the first 12 is ...
12×18 = 216
The sum of the ages of the remaining 8 is ...
8×23 = 184
So, the sum of ages of all 20 people is ...
216 +184 = 400
and their average age is ...
400/20 = 20
The mean age of the members of the group is 20.
_____
The mean of a data set is the total of the values, divided by the number of values.
Find the value of each unknown variable in the given figures ?
10) a. 130
Step-by-step explanation:
[tex]180 - 50 = 130[/tex]
write 3/60 as a fraction in its simplest form
Answer:
3/60 in the simplest form is 1/20
Step-by-step explanation:
You divide the numerator to the denominator. So, in this case I would divide 3 by 60 and I got 20 so 20 would be my denominator and then, I would think how many times can 3 go in 3 and the answer would be one because 3 goes inside 3 only one time so 1/20 would be your answer.
I would like Brainliest please. :)
In the simplest form, we can write the fraction (3/60) as (1/20).
What is fraction? What are mixed fractions?A fraction is expressed in the form of {x/y}, where {y ≠ 0}.For example, we can write 2.3 in the form of fraction as : 2.3 = 23/10 and, we can write 2.2 in the form of fraction as : 2.2 = 22/10 = 11/5Mixed fractions are of the form : [tex]$x\frac{y}{z}[/tex]We can simplify them as : (z × x + y}/zGiven is to write 3/60 as a fraction in its simplest form.
The given fraction is : 3/60
Simplest form means reducing the given fraction in a way such that the numerator and denominator cannot be further subdivided.
In the simplest form, we can write the fraction as -
3/60 = 3/(3 x 20) = 1/20
Therefore, in the simplest form, we can write the fraction (3/60) as (1/20).
To solve more questions on fractions, visit the link below-https://brainly.com/question/10354322
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A right triangle has one leg 3 meters long and a hypotenuse 5 meters long. What is the length of the other leg? A. 4 m B. 5 m C. 15 m D. 25 m
Answer:
A
Step-by-step explanation:
Using the Pythagorean Theorem, you can find that the length of the final leg is:
[tex]\sqrt{5^2-3^2}=\sqrt{25-9}=\sqrt{16}=4[/tex]
Therefore, the answer is A. Hope this helps!
what is 5/8 - 4/7 but simplified? i dont know how to do it
Answer:3/56
Step-by-step explanation:
5/8-4/7
(35-32)/56
3/56
On a coordinate plane, a line goes through (negative 4, 0) and (0, 2).
The graph of the equation y = 1
2
x + 2 is displayed. Which equations would intersect the orange line at the y-intercept? Check all that apply.
y = 7x + 2
y = 3x + 5
y = 2 minus StartFraction 7 Over 3 EndFraction x
y – 2 = 4x
3y = –9x – 6
The answer is 1, 3, and 4 (i guessed and got it right)
Answer:
A C D
Step-by-step explanation:
Answer: 1, 3, and 4
Step-by-step explanation:
If a 3 ft tall globe casts a 1 ft long shadow, then how tall is an adult giraffe that casts a 6 ft shadow?
Answer:
it has to be 18
Step-by-step explanation:
because 3 to 1 so 6 just multiply 3 by 6
Solve the problem 5x+(x+6)+3x
what how am I solving do I simplify
convert the decimal 0.085to a percent
Answer:
8.5%
Step-by-step explanation:
Answer:
8.5%
Step-by-step explanation:
0.085
1: Ignore the 0 and take the numbers that is 85
2: Add a percent
3: Answer is 8.5%
Hope this helps.
The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 52 and a standard deviation of 5. Using the empirical rule, what is the approximate percentage of lightbulb replacement requests numbering between 47 and 52
Answer:
34% of lightbulb replacement requests numbering between 47 and 52
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 52
Standard deviation = 5
Between 47 and 52:
52 is the mean and 47 is one standard deviation below the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.
Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).
So
34% of lightbulb replacement requests numbering between 47 and 52
parker spends 1/4 of his earnings on rent and 1/6 of his earnings on entertainment
Answer:
Cool
Step-by-step explanation:
Panat has assets that total $9,500. His liabilities total $1,900. Which expression will find Patrick's net worth?
$9.500-$1.900
$1.900-$9.500
$1.900-$9.500
$9.500-$1.900
Helppp
Answer:
D
Step-by-step explanation:
assets total - liabilities/deductions = net worth
his income is what his net worth it, but liabilities is what you dont have. its what you owe/need to pay/dont own. subtracting these two will give you your real net wroth.
The correct expression to find Patrick's net worth is D: $9,500 - $1,900.
What is the net worth?The difference between an individual's assets and liabilities is described as net worth.
As per the question, Patrick's assets are given as $9,500 and his liabilities are given as $1,900.
To find his net worth, we need to subtract his liabilities from his assets.
Thus, the expression for Patrick's net worth is:
Net worth = Assets - Liabilities
Net worth = $9,500 - $1,900
Net worth = $7,600
Therefore, Patrick's net worth is $7,600.
Learn more about the net worth here :
https://brainly.com/question/17199792
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Two Variable Statistics
Scatter Plots and Function Models AND PLEASE ANSWER ALL OF THE PART IF
Answer:
see step by step
Step-by-step explanation:
sorry rough sketch.
Answer:
idk
Step-by-step explanation:
Can you send the integers worksheet question and answer for 6th grade
Charles’s law states that if the pressure of a dry gas is held constant, then the volume V of the gas and its temperature T, measured in degrees Kelvin, satisfy the relationship V=cT, where c is a constant. Which of the following best describes the relationship between the rate of change, with respect to time t, of the volume and the rate of change, with respect to time t, of the temperature?
a) dV/dt = T dc/dt
b) dV/dt = c * dT/dt
c) dV/dT = c
d) 1 = c * dT/dV
Answer:
b) dV/dt = c * dT/dt
Step-by-step explanation:
Differentiating the equation with respect to time, you have ...
V = cT
dV/dt = c·dT/dt . . . . matches choice B
23. A popular brand of AAA batteries has an effective use time of 12.3 hours, on average. A startup company claims that their AAA batteries last longer. The startup company tested 24,000 of their new batteries and computed a mean effective use time of 12.32 hours. Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).
It is appropriate to conclude which of the following?
A) The startup company has strong evidence that their AAA batteries last longer, on average.
B) The startup company has moderate evidence that their AAA batteries last longer, on average.
C) The startup company has proved that their AAA batteries last longer, on average.
D) None of the answer choices are correct. With such a large sample size, statistically significant results may not be of any practical importance.
Answer:
Option B
Step-by-step explanation:
Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).
Since the P-value was less than 0.0001, the null hypothesis in this case can be rejected (H₀: ∪=12.3), concluding that the startup company has moderate/enough evidence that their AAA batteries last longer, on average.
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 12.3
For the alternative hypothesis,
µ > 12.3
This is a right tailed test.
The decision rule is to accept the null hypothesis if the significance level is lesser than the p value and reject the null hypothesis if the significance level is greater than the p value.
Let us assume a significance level of 0.05.
Since alpha, 0.05 > than the p 0.0001, then we would reject the null hypothesis.
The correct option would be
A) The startup company has strong evidence that their AAA batteries last longer, on average.
9. The temperature at noon was 84° F and it began to drop 0.8° each hour. If the current temperature is 79.2° F, write and solve an equation to determine the number of hours that have passed.
Answer:6 hours have passed by.
Step-by-step explanation:
0.8x= 84-79.2 where x is the number of hours.
O.8x = 4.8
Divide both sides by 0.8
X= 6
Subtract: (3x2 - 8x + 3) - (-5x2 + 4x – 5)
