Answer:
18
Step-by-step explanation:
Let the number be 'x'
Sum of 'x' and 12 = x +12
The product of 8 and the sum of a number and 12 = 8* (x +12)
= 8*x + 8*12
= 8x + 96
8x + 96 = 240
Subtract 96 from both sides
8x + 9 6 - 96 = 240 - 96
8x = 144
Divide both sides by 8
x = 144/8
x = 18
Find the volume of the cone
Answer:
100.53
Step-by-step explanation:
V = π r^2 h/3fill in what you know V= π 4^2 6/3solvethe item is $21 and has a 30% increase. what is the amount of increase
Answer:
21 multiplyed by .3%
Step-by-step explanation:
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
multipaction equation that will help find the number 23
Answer:
23*1, -23*-1
its prime sorry bestie
it's a prime equation sorry
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.
If x + y = 5 and x - y = 3, then x^2 - y^2 = ?
A) 9
B) 15
C) 16
D) 25
E) 34
With steps pleaseee
Answer:
B) 15
Step-by-step explanation:
Using basic logic we find that x = 4 and y = 1
4^2 = 16
1^2 = 1
16 - 1 = 15
there are 47 numbers Find the probability that i will pick the 6 winning numbers in a draw
Answer: You have six numbers on your ticket. In drawing the first number from the collection of 45, one of those six numbers must be drawn in order for you to still have a chance of winning the big prize. So following the draw, the probability is only 6/45 (or 1/9) that you’re still in the game.
You can now see that on each successive draw the probability steadily drops- to 5/44, 4/43, 3/42, 2/41, and for the last number 1/40. As other answers have stated, there are 8,145,060 possible draws of six numbers and only one makes you a winner.
If you bought ten tickets for every drawing, the odds reach a 50% chance of having won at about 520,550 drawings. Assuming two drawings per week, the chance of winning reaches 50% in about 5,200 years.
Of course, SOMEONE will win and if you don’t play, your chance of winning is zero. It’s kind of fun to occasionally buy lottery tickets just for the dream of winning but don’t spend a lot of money on them.
5.9K viewsView upvotes · Answer requested by Arthur C. Thorpe
7
Related Questions (More Answers Below)
Step-by-step explanation:
1/3 of 3/7=__
pls i need help
Answer:
the answer is 0.14285714285 theres whole answer because i dont know if u need it rounded or not
Step-by-step explanation:
the bitly stuff is not real
A study finds that the number of gallons of water used each month per household in a
residential neighborhood are normally distributed with a mean of 470 gallons and a
standard deviation of 50 gallons. A household is randomly selected. What is the
probability that the household uses 480 gallons of water or less per month?
Answer:
0.5793 = 57.93% probability that the household uses 480 gallons of water or less per month
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 470 gallons and standard deviation of 50 gallons.
This means that [tex]\mu = 470, \sigma = 50[/tex]
What is the probability that the household uses 480 gallons of water or less per month?
This is the pvalue of Z when X = 480. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{480 - 470}{50}[/tex]
[tex]Z = 0.2[/tex]
[tex]Z = 0.2[/tex] has a pvalue of 0.5793
0.5793 = 57.93% probability that the household uses 480 gallons of water or less per month
Can somebody help me?
Answer:I cannot see photo
Find the area of the circle. Leave your answer in terms of
4.1.
A) 4.2025
B) 8.405
C) 16.81
D) 11.2
A) 4.2025
Area= pir^2 r=d/2 4.1/2=2.05 pi(2.05)^2 final answer: 4.2pi
Pls help extra points
Answer:
4
Step-by-step explanation:
hope it helps
A 5-pack of baseball caps costs $5.18. What is the unit price?
Answer:
5.18÷5=1.036 so round up to 1.04
Step-by-step explanation:
work is shown and pictured.
Is 5.094 greater or less than 5.904
Answer:
Less
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
5.904 is greater because the 9 is closer to the decimal than the 9 of 5.094
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 24
and AD = 12, what is the length of AC?
A
12
D
24
Answer: x=48
Step-by-step explanation:
The length AC of the right-angle triangle will be 48 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
According to the hypotenuse-leg (HL) principle, a right triangle is harmonious if each of its third side and legs are congruent with its equivalent hypotenuse and legs in another right triangle. The HL theorem proves that these triangles are identical.
AC / AB = AB / AD
AC / 24 = 24 / 12
AC = 48 units
The length AC of the right-angle triangle will be 48 units.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ2
18,250 new species are discovered each year on plane earth. how many are found each day? ( giving brainliest )
Answer:
50 species every day
Step-by-step explanation:
Plz help me fast!!! Plzzzz
Step-by-step explanation:
tan = opp/adj
tan B = x/y
hope this helps
A police officer estimated the distance from one side of a street to the other to be 14m . The actual distance was 13.4.
Find the absolute error and the percent error of the police officer's estimate. If necessary, round your answers to the nearest tenth.
NO LINKS
Answer:
Part A. The absolute error is 0.2
Part B. The percent error is 1.45
Step-by-step explanation:
Hope this helps! :)
P.S I can tell that you have experience with the bots who ask you to go press a link. :)
Billy invites 11 friends to his house for a meal.
He decides to make apple pie.
Billy has this list of ingredients.
Apple pie
serves 4 people
750 g apples
25 g caster sugar
150 g plain flour
50 g butter
75 g brown sugar
Billy has 2500 g of apples.
(a) Does he have enough apples to make apple pie for 12
people?
Show a check of your working.
(4)
Answer:
the answer is in the photo
Step-by-step explanation:
What is the length of EF?
Answer:
4n
Step-by-step explanation:
All of the following should be considered when designing a study except __________. A. the type of research method to use B. how to interpret collected data C. who the participants will be D. the type of measurement to use Please select the best answer from the choices provided A B C D
Answer:
b. How to interpret collected data.
Step-by-step explanation:
Answer:
All of the following should be considered when designing a study except __________.
( A.) the type of research method to use
( B.) how to interpret collected data (ANSWER)
( C.) who the participants will be
( D.) the type of measurement to use
the product of (y + 2) and (y - 2) if y=7
£150 is divided between Nick, June & Sushil so that Nick gets twice as much as June, and
June gets three times as much as Sushil. How much does June get?
Answer:
Amount June get = £45
Step-by-step explanation:
Given:
Total amount divided = £150
Amount Nick get = 2 x Amount June get
Amount June get = 3 x Amount Sushil get
Find:
Amount divided between Nick June and Sushil
Computation:
Assume;
Amount Sushil get = a
Amount June get = 3 x Amount Sushil get
Amount June get = 3a
Amount Nick get = 2 x Amount June get
Amount Nick get = 2 x 3a
Amount Nick get = 6a
Amount Sushil get + Amount June get + Amount Nick get = Total amount
So,
a + 3a + 6a = 150
10a = 150
a = 15
So,
Amount Sushil get = £15
Amount June get = 3a
Amount June get = 3 x 15
Amount June get = £45
Amount Nick get = 6a
Amount Nick get = 6 x 15
Amount Nick get = £90
A gardener makes a new circular flower bed. The bed is teen feet in diameter. Calculate the circumference and the area of the circular flower bed.
Answer:
I. Circumference of circular flower bed = 31.42 ft.
II. Area of circular flower bed = 78.55 ft²
Step-by-step explanation:
Given the following data;
Diameter = 10 ft
Radius = diameter/2
Radius = 10/2
Radius, r = 5 ft
I. To find the circumference of the circular flower bed;
Circumference of circle = 2πr
Substituting into the formula, we have
Circumference of circular flower bed = 2*3.142*5
Circumference of circular flower bed = 31.42 ft
II. To find the area;
Area of circle = πr²
Substituting into the formula, we have;
Area of circular flower bed = 3.142*5²
Area of circular flower bed = 3.142*25
Area of circular flower bed = 78.55 ft²
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
Help me plssss NO LINKS PLSSSSSSS
Answer:
perimeter- 36 in.
area- 77 [tex]in^2[/tex]
Step-by-step explanation:
to find the perimeter you add all of the sides, so
7 + 7 + 11 + 11 = 36
*** the opposite side of the 7 is also 7, same with the 11 :)
to find the area for a rectangle, you use the formula A=b*h
so, the base(b)=7 and the height(h)= 11
therefore, 7 * 11 = 77
I hope this helps!! :) if it does, brainliest?? :)
Joe ran 12 laps around the field to run a total of 1 km on Sunday. How many laps will he need to run on Monday to run 4/6 of a km?
Answer:
[tex]4 \div 6 \times 12 = 4 \times 2 \\ \\ 4 \times 2 = 8[/tex]
so, 8 laps
please mark it brainliest
on January 17 2014 snow fell for 3 3/4 hours in Amarillo Texas if it snowed a total of 3 feet how much snow fell per hour?
Answer:
Step-by-step explanation:
1 2/8 feet of snow
Expand and simplify (2x - 3)(3x -5)
Answer:
Step-by-step explanation:
Bonjour,
2x*3x =6x²
2x* -5 = -10x
-3 * 3x = -9x
-3*-5 = 15
=>
6x² -10x - 9x +15 = 6x ² -19x +15
Answer:
6x^2 - 19x + 15.
Step-by-step explanation:
(2x - 3)(3x -5)
= 2x(3x - 5) - 3(3x - 5)
= 6x^2 - 10x - 9x + 15
= 6x^2 - 19x + 15.
Evaluate: 2x-5y for x=-7 and y=-2
Answer:
-4
Step-by-step explanation:
1. Substitute the x values and y values
2(-7) -5(-2)
-14 +10
-4