Answer: Yes
Step-by-step explanation: A rational number is a number that can be described as a fraction. -92 can be a fraction, therefor it's rational.
No
A rational number is any number that can be expressed as a ratio of two integers. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi is irrational since it cannot be written as a fraction.
Can you help me with this question please??
Answer:
D
Step-by-step explanation:
value of each:
A) 100/1000 + 20/1000 + 8/1000 = 128/1000 = 0.128
B) 3/10 = 0.30
C) 7/100 = 0.07
D) 24/1000 = 0.024
I NEED HELP FAST ASAP PLS
Answer:
The answer is 25 plants because all the frequencies add up to 25. While this graph could represent plants when they’re growing, all bars would be the same length though as all plants would hit a certain height.
B) Interval 150-155 has the highest frequency as 8 plants are 150-155cm.
Step-by-step explanation:
Find the 9th term of the geometric sequence 5, -25, 125, ...
9514 1404 393
Answer:
1,953,125
Step-by-step explanation:
The first term is a1 = 5; the common ratio is r = -25/5 = -5. The generic term is ...
an = a1×r^(n-1)
an = 5×(-5)^(n-1)
So, the 9th term is ...
a9 = 5×(-5)^(9-1) = 1,953,125
Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were million barrels of oil in the well; six years later barrels remain.At what rate was the amount of oil in the well decreasing when there were barrels remaining
Answer:
The amount of oil was decreasing at 69300 barrels, yearly
Step-by-step explanation:
Given
[tex]Initial =1\ million[/tex]
[tex]6\ years\ later = 500,000[/tex]
Required
At what rate did oil decrease when 600000 barrels remain
To do this, we make use of the following notations
t = Time
A = Amount left in the well
So:
[tex]\frac{dA}{dt} = kA[/tex]
Where k represents the constant of proportionality
[tex]\frac{dA}{dt} = kA[/tex]
Multiply both sides by dt/A
[tex]\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}[/tex]
[tex]\frac{dA}{A} = k\ dt[/tex]
Integrate both sides
[tex]\int\ {\frac{dA}{A} = \int\ {k\ dt}[/tex]
[tex]ln\ A = kt + lnC[/tex]
Make A, the subject
[tex]A = Ce^{kt}[/tex]
[tex]t = 0\ when\ A =1\ million[/tex] i.e. At initial
So, we have:
[tex]A = Ce^{kt}[/tex]
[tex]1000000 = Ce^{k*0}[/tex]
[tex]1000000 = Ce^{0}[/tex]
[tex]1000000 = C*1[/tex]
[tex]1000000 = C[/tex]
[tex]C =1000000[/tex]
Substitute [tex]C =1000000[/tex] in [tex]A = Ce^{kt}[/tex]
[tex]A = 1000000e^{kt}[/tex]
To solve for k;
[tex]6\ years\ later = 500,000[/tex]
i.e.
[tex]t = 6\ A = 500000[/tex]
So:
[tex]500000= 1000000e^{k*6}[/tex]
Divide both sides by 1000000
[tex]0.5= e^{k*6}[/tex]
Take natural logarithm (ln) of both sides
[tex]ln(0.5) = ln(e^{k*6})[/tex]
[tex]ln(0.5) = k*6[/tex]
Solve for k
[tex]k = \frac{ln(0.5)}{6}[/tex]
[tex]k = \frac{-0.693}{6}[/tex]
[tex]k = -0.1155[/tex]
Recall that:
[tex]\frac{dA}{dt} = kA[/tex]
Where
[tex]\frac{dA}{dt}[/tex] = Rate
So, when
[tex]A = 600000[/tex]
The rate is:
[tex]\frac{dA}{dt} = -0.1155 * 600000[/tex]
[tex]\frac{dA}{dt} = -69300[/tex]
Hence, the amount of oil was decreasing at 69300 barrels, yearly
Tell whether the question is a statistical question. Explain.
Part 1
Answers:
Statistical questionNot a statistical questionStatistical question==========================================
Explanations:
The phrasing here is a bit vague, but I think your teacher means "your" in the sense that it is directed at whoever is taking the survey and not a specific single person. If it was directed at exactly one person, and one person only, then no statistics are needed. You can simply count the number of songs on the device and that's the end of that story. However, when it comes to multiple people, statistics is used to give an idea of how the population is overall. Recall that the sample is supposed to represent the population, assuming no biases are present. I'll assume that your teacher is aiming for the more broader definition of "your" and that's why this is a statistical question. Similar reasoning will apply for problem 3.Unlike problems 1 and 3, this is not a statistical question. Why not? Because we know exactly how many feet are in 1 yard, and that will not change no matter what happens. It's simply a definition we set up earlier, and have stuck to. Having it change won't help things. Statistical questions address variables in which not only are allowed to change, but do so randomly (according to some pattern). Here we have 3 feet to a yard and no statistics are needed to address this.Similar to problem 1. I'm assuming your teacher is asking a broader audience and not exactly one single specific person. In this case, the name of the favorite movie would be considered qualitative categorical data, and also considered nominal as well. We don't have ordinal data because movies cannot be ordered or ranked, as that is subjective. I'm not considering alphabetical order. We have a statistical question here for the broader audience because the variable "favorite movie" is allowed to change, and is subject to some degree of randomness. Hence the phrasing "random variable".Answer:
multiply the length value by 3
so its 3 foot
your answers
Factor this expression completely and then place the factors in the proper location on the grid.
904 62
Answer: 9a^4 - b^2
= (3a^2)^2 - b^2
= (3a^2 + b)(3a^2 - b) using a^2 - b^2 = (a+b)(a-b)
hope it helps.
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
10
14
Answer: [tex]\sqrt{96}[/tex] or [tex]4\sqrt{6}[/tex], if you want the decimal form then its 9.79.
Step-by-step explanation:
14²-10²=96
[tex]\sqrt{96}[/tex] or [tex]4\sqrt{6}[/tex], if you want the decimal form then its 9.79.
Reed has an aquarium that holds 12 gallons of
water. There are approximately 4 liters in one
gallon. Which measurement is closest to the
number of liters in Reed's aquarium?
Answer:
48
Step-by-step explanation:
12*4=48
what is x+19=21 jsjwidhsnwnd
Answer:
x=2
Step-by-step explanation:
x+19=21
subtract 19 so x can be by itself, move it to the 21 side
and subtract21-19=2
Answer:
You solve. for X. The photo is the work and answer
Describe the transformation of f(x) = sin x to g(x) = sin (x-pi/4)
Answer:
A
Step-by-step explanation:
AP EX
The transformation of f(x)=sin(x) to g(x)=sin(x-π/4), means that the function f(x) is shifted to the right by (π/4) units.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The transformation of f(x)=sin(x) to g(x)=sin(x-π/4), means that the function f(x) is shifted to the right by (π/4) units.
Learn more about Function:
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A business suit that is regularly $250 is put on sale. They are reducing the price by
30% each day. How much will the suit be worth in 10 days?
Answer:
On the 10th day, the suit should cost around $11.38.
Step-by-step explanation:
It was a long process. Not sure if it is right because that price drop is very drastic, but these math problems are always extreme. LOL
Good Luck!!
EASY 7TH GRADE MATH, WILL GET BRAINLIEST.. AGAIN
Answer:
B. 1/3
Step-by-step explanation:
If we take the fist two boxes on top of the grid, we can divide 7 1/2 by 2 1/2 to find the ratio. In this case, the ratio is 3, meaning that for every cup of sugar their is 3 cups of flour. This means that 1 cup of flour would equal 1/3 cups of sugar.
Ben in n years old chloe is twice as old as Ben Dan is 5 years younger than Ben
The total of bens age, chloes age, and Dan’s age is T years
Find a formula for T in terms of n
Answer:
T = 4n - 5
Step-by-step explanation:
Ben = n
Chloe = 2n
Dan = n - 5
n + 2n + (n - 5) = T years
3n + n - 5 = T years
4n - 5 = T years
Jen used a 15% off coupon on a $250 television. How much did she pay for the television?
37.5
Hope this helps :T
g Suppose, for simplicity, that three main parts of a laptop are CPU, RAM, and hard drive;so if one of theses components fails, the laptop fails. Assume that the life times of CPU, RAM, and hard drive are exponentially distributed with mean 3 years, 2 years, and 5 years, respectively. If the company that sells these laptops guarantees the replacement of any laptops that fail in the first year, anda replacement costs $500, what would be the average yearly replacement cost
Answer:
The average yearly replacement cost is approximately $32,211,500
Step-by-step explanation:
Exponential Distribution
P(X < x) = 1 - e -x/
[tex]P(X < x) = 1 - e^{\dfrac{-x}{\mu}}[/tex]
For the CPU, μ = 3 years
The probability that a CPU fails in less than 1 year is therefore;
P(C) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{3}} \approx 0.2835[/tex]
For the RAM, μ = 2 years
The probability that a RAM fails in less than 1 year is therefore;
P(R) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{2}} \approx 0.3935[/tex]
For the hard drive, μ = 5 years
The probability that a hard drive fails in less than 1 year is therefore;
P(H) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{5}} \approx 0.1813[/tex]
The probability that either a CPU, or a RAM or a hard drive fails in 1 year so that a replacement is required, P(C ∪ R ∪ H), is given as follows;
P(C ∪ R ∪ H) = P(C) + P(R) + P(H) - P(C∩R) - P(C∩H) - P(R∩H) + P(C∩R∩H)
∴ P(C ∪ R ∪ H) = 0.2835 + 0.3935 + 0.1813 - (0.2835 × 0.3935) - (0.2835 × 0.1813) -(0.3935 × 0.1813) + (0.2835 × 0.3935 × 0.1813) ≈ 0.64423
∴ P(C ∪ R ∪ H) ≈ 0.64423
There is a 0.64423 chance that a laptop will require replacement
For 100,000 laptops sold a year and a replacement cost of $500 per laptop, we have;
The average yearly replacement cost, 'Cost' is given as follows;
Cost = 500 × 100,000 × 0.64423 = 32,211,500
The average yearly replacement cost, Cost ≈ $32,211,500
i will give lots of points for these 4 answers
Answer:
1&3 are wrong 4 and 2 are right
Step-by-step explanation:
may i be marked brainliest
Alternate exterior angles are congruent which angle forms a pair of alternate exterior angles with angle 2?
Find the value of x and the measure of the missing angle 66 x 40
Answer:
66x40
Step-by-step explanation:
Answer:
x= 180 - (66+40)= 74
2/3 (x-6) = 6
Pls I need help
Answer:
x=15
Step-by-step explanation:
Answer:
x = 15Explanation:
2/3 (x-6) = 6
2x/3 - 12/3 = 6
(2x-12)/3 = 6
2x-12 = 18
2x = 18+12
2x = 30
x = 15
X is inversely proportional to y, and x = 18 when y = 4. find x when y is 30
Answer:
X= 2.4
Step-by-step explanation:
x = k/y............eqn1
18= k/4
k= 18×4
k= 72
Using the first equation
x= 72/30
x= 2.4
Which situations are BEST modeled by a linear function? es A) A monthly gym membership fee. B) The cost of milk by the gallon. 0) The price of pears by the pound D) The interest rate on a car lone. E) The half-life of a radiative material.
Answer:
B) The cost of milk by the gallon.
C) The price of pears by the pound.
Step-by-step explanation:
A linear function is one that both the dependent and independent variables increases or decreases proportionally.
Thus from the given options:
i. If the gallons of milk increase, then the cost of milk also would increase proportionally. A decrease in the gallons of milk would also reduce the cost of milk.
ii. An increase in the pounds of the pearls would cause an increase in the price of the pearls. Also, a decrease in the pounds of pearls would reduce the price of the pearls.
Thus, the answers to the question are options B and C.
Answer:
The other guy is correct however he missed one
The Answer is actually A, B, C
Step-by-step explanation:
I took the test on Usa test prep.
Can somebody help me?
Answer:I cannot see photo
f(x)=- square root x-2. +3
Answer:
Hi, The.
The domain of a function is the set of all possible values for x. The range is all possible values for y.
You should be able to see these pretty easily from the graph. If I understand your function correctly:
f(x) = square root(x+2) - 3
then x cannot be less than -2. Your domain is x > -2. In interval notation [-2,∞)
The lowest value for y is -3 so the range is y > -3. In interval notation [-3,∞)
Hope this helps!
line.
4
6 You are given that z>2. Grup
Write an inequality for each expression.
a 2z + 9
b 3(z - 4) C 4 + 2z
d 5(3z-2)
Answer:
a ko ans
= 2×2+9
=4+9
= 13ans
What is the correct answer of this question
I gave 20 points
And I also mark brainlist
Answer:
(b) we learn from the students that we should also help people who are in need
Step-by-step explanation:
hope it helps ❤️
Find the volume of a box that is 2in x 4in x 3in
Answer:
fhshegshffdfsfjdegddfhgfedhdrgdddetfrdesjdhgdhdjdjdhdhdjdjejdhdhdjdjhhgwhejdjdhdsewwhehsjrhdgddjdjfhwhdddfjfhshdjjhdhdjdjffjdjshwghhjrjehwhhejjfjfjejehekwkjjhfkwkejhsekskwjdjfjjt
Step-by-step explanation:
fhjjhcnncxfgnnng
C. A musician had 1.2 x 102
fans at his very first show
ever played. Six years later,
84,000 people were at his
show. How many times more
people were at his most recent
show compared to the very
first show he played?
Answer:
688 people
Step-by-step explanation:
If y varies inversely with x
and y is 10 when x is 5,
then what is y when x is 2?
Answer: X = 2 so Y=25, hope this helped!!
Step-by-step explanation:
Which expressions are equivalent to 4(7/8y-4-3/8y+7)? Choose ALL that apply.
The expressions equivalent to the given expressions are; (2y+12), 4(y/2+3) and 4(y/2-4+7)
What is expression?An algebraic expression consists of unknown variables, numbers and arithmetic operators. It does not contain any equality or inequality symbols.
Given an expression, 4(7/8y-4-3/8y+7)
4(7/8y-4-3/8y+7) = 7/2y-16-3/2y+28
= 1/2(7y-32-3y+56)
= 1/2(4y+24)
= 2y+12
or, 4(1/2y+3) or 4(1/2y-4+7)
Hence, The expressions equivalent to the given expressions are; (2y+12), 4(y/2+3) and 4(y/2-4+7)
For more references on expression, click;
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6 1/4 quarts =___ pints?
Answer:12.5
Step-by-step explanation:
Answer:
12.5 pints
Step-by-step explanation: