Answer:
2,7 2,3 3/4
Step-by-step explanation:
2,7 = 0.29 2,3 = 0.67 3/4 = 0.75
show that the subset is the partial ordering on the power set of S.
refer to the attachment
HELPPPPPPPPPPPPPPPPPPPPP
Answer:
2
35
6
Step-by-step explanation:
14/7=2
5*7=35
42/7=6
A radioactive substance decays to 30% of its original mass in 15 months. Determine the half-life of this radioactive substance to the nearest tenth. Show your work.
please help
Answer:
The half-life of this radioactive substance is of 8.6 months.
Step-by-step explanation:
Exponential decay of an amount:
The equation that models an amount after t units of time, subject to exponential decay, is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A radioactive substance decays to 30% of its original mass in 15 months.
This means that [tex]A(15) = 0.3A(0)[/tex]. We use this to find 1 - r.
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.3A(0) = A(0)(1-r)^{15}[/tex]
[tex](1-r)^{15} = 0.3[/tex]
[tex]\sqrt[15]{(1-r)^{15}} = \sqrt[15]{0.3}[/tex]
[tex]1 - r = (0.3)^{\frac{1}{15}}[/tex]
[tex]1 - r = 0.9229[/tex]
So
[tex]A(t) = A(0)(0.9229)^t[/tex]
Determine the half-life of this radioactive substance to the nearest tenth.
This is t for which A(t) = 0.5A(0). So
[tex]A(t) = A(0)(0.9229)^t[/tex]
[tex]0.5A(0) = A(0)(0.9229)^t[/tex]
[tex](0.9229)^t = 0.5[/tex]
[tex]\log{(0.9229)^t} = \log{0.5}[/tex]
[tex]t\log{0.9229} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.9229}}[/tex]
[tex]t = 8.6[/tex]
The half-life of this radioactive substance is of 8.6 months.
Find the length of side y.
y=_ft
Answer:
y = 5.66388 feet, (round that to whatever you need to round to)
Step-by-step explanation:
cos (51) = y/9
cos(51)*9=
y = 5.66388 feet
What is the measure of angle c?
Answer:
c=29°
Step-by-step explanation:
angle b=97°{ vertically opposite angle}
now,
97°+54°+c=180°{ sum of angle of triangle}
x=180-151x=29°stay safe healthy and happy.Answer: I'm pretty sure it's 29 degrees.
Step-by-step explanation:
Angle b is directly opposite of 97, and is the same. So b is equal to 97. Every triangle is 180 degrees, so all you have to do is 180 - 54 - 97, which is 29. I hope that helps!!
PLS ANWER ASAP!! person with correct answer will be marked brainliest
Answer:
62 degrees since there are supplementary angles
Step-by-step explanation:
∠PQO= 180 degrees - 118 degrees
∠PQO= 62 degrees is the answer.
∠PQO= 180°-∠RQO -------(Supplementary Angles)
∠PQO= 180° - 118°
∠PQO= 62° answer.
what is 10000000000+10000000000
Answer:
20000000000000000000000000000
23
A university administered a survey to all incoming students regarding living arrangements for the upcoming school year. The results of the survey are displayed in the following two-way relative frequency table.
University Living Arrangements
On-Campus Off-Campus Total
Freshmen 0.44 0.28 0.72
Transfer Students 0.21 0.07 0.28
Total 0.65 0.35 1
What percentage of incoming freshmen plan to live on-campus?
A.
61.11%
B.
67.69%
C.
56%
D.
44%
The probability of incoming freshmen who plan to live on-campus in percentage will be 61.11%. Then the correct option is A.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A university administered a survey to all incoming students regarding living arrangements for the upcoming school year.
The results of the survey are displayed in the following two-way relative frequency table.
On-Campus Off-Campus Total
Freshmen 0.44 0.28 0.72
Transfer Students 0.21 0.07 0.28
Total 0.65 0.35 1
Then the probability of incoming freshmen who plan to live on-campus in percentage will be
P = (0.44 / 0.72) x 100
P = 0.6111 x 100
P = 61.11%
The probability of incoming freshmen who plan to live on-campus in percentage will be 61.11%.
Then the correct option is A.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ5
GUYS PLEASE HELP ALMOST DUE
Answer:
1/5
Step-by-step explanation:
y = 12
12 = 1/5 x 60
12= 12
y = 9
9 = 1/5 x 45
9 = 9
and so on and it always results to one fifth
B Reading Choose the best estimate for the multiplication problem below. 85 x 86
A. 8100
B. 10,400
C. 12,200
Answer:
A. 8100
Step-by-step explanation:
85 x 86
To estimate, we multiply 85*100, which is the easiest multiplication, as a multiplication by 100 is the same as placing two zeros at the end of the number.
85*100 = 8500
Since 86 < 100, 85*86 < 8500. Thus, the correct estimate is given by option A.
Suppose you are investigating the relationship between two variables, traffic flow and expected lead content, where traffic flow is a predictor of lead content. You find the 95% CI for expected lead content when traffic flow is 15, based on a sample of n= 10 observations, is (461.7, 598.1).
Required:
What parameter is this interval estimating?
Answer:
The answers is " Option B".
Step-by-step explanation:
[tex]CI=\hat{Y}\pm t_{Critical}\times S_{e}[/tex]
Where,
[tex]\hat{Y}=[/tex] predicted value of lead content when traffic flow is 15.
[tex]\to df=n-1=8-1=7[/tex]
[tex]95\% \ CI\ is\ (463.5, 596.3) \\\\\hat{Y}=\frac{(463.5+596.3)}{2}\\\\[/tex]
[tex]=\frac{1059.8}{2}\\\\=529.9[/tex]
Calculating thet-critical value[tex]t_{ \{\frac{\alpha}{2},\ df \}}=-2.365[/tex]
The lower predicted value [tex]=529.9-2.365(Se)[/tex]
[tex]463.5=529.9-2.365(Se)\\\\529.9-463.5=2.365(Se)\\\\66.4=2.365(Se)\\\\Se=\frac{66.4}{2.365} \\\\Se=28.076[/tex]
When [tex]99\%[/tex] of CI use as the expected lead content: [tex]\to 529.9\pm t_{0.005,7}\times 28.076 \\\\=(529.9 \pm 3.499 \times 28.076)\\\\=(529.9 \pm 98.238)\\\\=(529.9-98.238, 529.9+98.238)\\\\=(431.662, 628.138)\\\\=(431.6, 628.1)[/tex]
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is miles per hour, with a standard deviation of miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and miles per hour. (Assume the data set has a bell-shaped distribution.)
Approximately % of vehicles travel between 61 miles per hour and 71 miles per hour.
Answer:
68%
Step-by-step explanation:
We observe that the mean of the sample is (61+71)/2 = 66 mph which means the standard deviation of the sample is 5 because 66-5=61 and 66+5=71. The Empirical Rule states that for data observed in a normal distribution, 68% of data will fall within one standard deviation of the mean. Therefore, approximately 68% of vehicles travel between 61 miles per hour and 71 miles per hour.
If the integral of the product of x squared and e raised to the negative 4 times x power, dx equals the product of negative 1 over 64 times e raised to the negative 4 times x power and the quantity A times x squared plus B times x plus E, plus C , then the value of A B E is
Answer:
[tex]A + B + E = 32[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{1}{64}e^{-4x}[Ax^2 + Bx + E]C[/tex]
Required
Find [tex]A +B + E[/tex]
We have:
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{1}{64}e^{-4x}[Ax^2 + Bx + E]C[/tex]
Using integration by parts
[tex]\int {u} \, dv = uv - \int vdu[/tex]
Where
[tex]u = x^2[/tex] and [tex]dv = e^{-4x}dx[/tex]
Solve for du (differentiate u)
[tex]du = 2x\ dx[/tex]
Solve for v (integrate dv)
[tex]v = -\frac{1}{4}e^{-4x}[/tex]
So, we have:
[tex]\int {u} \, dv = uv - \int vdu[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = x^2 *-\frac{1}{4}e^{-4x} - \int -\frac{1}{4}e^{-4x} 2xdx[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} - \int -\frac{1}{2}e^{-4x} xdx[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} +\frac{1}{2} \int xe^{-4x} dx[/tex]
-----------------------------------------------------------------------
Solving
[tex]\int xe^{-4x} dx[/tex]
Integration by parts
[tex]u = x[/tex] ---- [tex]du = dx[/tex]
[tex]dv = e^{-4x}dx[/tex] ---------- [tex]v = -\frac{1}{4}e^{-4x}[/tex]
So:
[tex]\int xe^{-4x} dx = -\frac{x}{4}e^{-4x} - \int -\frac{1}{4}e^{-4x}\ dx[/tex]
[tex]\int xe^{-4x} dx = -\frac{x}{4}e^{-4x} + \int e^{-4x}\ dx[/tex]
[tex]\int xe^{-4x} dx = -\frac{x}{4}e^{-4x} -\frac{1}{4}e^{-4x}[/tex]
So, we have:
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} +\frac{1}{2} \int xe^{-4x} dx[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} +\frac{1}{2} [ -\frac{x}{4}e^{-4x} -\frac{1}{4}e^{-4x}][/tex]
Open bracket
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{x^2}{4}e^{-4x} -\frac{x}{8}e^{-4x} -\frac{1}{8}e^{-4x}[/tex]
Factor out [tex]e^{-4x}[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = [-\frac{x^2}{4} -\frac{x}{8} -\frac{1}{8}]e^{-4x}[/tex]
Rewrite as:
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = [-\frac{1}{4}x^2 -\frac{1}{8}x -\frac{1}{8}]e^{-4x}[/tex]
Recall that:
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = -\frac{1}{64}e^{-4x}[Ax^2 + Bx + E]C[/tex]
[tex]\int\limits {x^2\cdot e^{-4x}} \, dx = [-\frac{1}{64}Ax^2 -\frac{1}{64} Bx -\frac{1}{64} E]Ce^{-4x}[/tex]
By comparison:
[tex]-\frac{1}{4}x^2 = -\frac{1}{64}Ax^2[/tex]
[tex]-\frac{1}{8}x = -\frac{1}{64}Bx[/tex]
[tex]-\frac{1}{8} = -\frac{1}{64}E[/tex]
Solve A, B and C
[tex]-\frac{1}{4}x^2 = -\frac{1}{64}Ax^2[/tex]
Divide by [tex]-x^2[/tex]
[tex]\frac{1}{4} = \frac{1}{64}A[/tex]
Multiply by 64
[tex]64 * \frac{1}{4} = A[/tex]
[tex]A =16[/tex]
[tex]-\frac{1}{8}x = -\frac{1}{64}Bx[/tex]
Divide by [tex]-x[/tex]
[tex]\frac{1}{8} = \frac{1}{64}B[/tex]
Multiply by 64
[tex]64 * \frac{1}{8} = \frac{1}{64}B*64[/tex]
[tex]B = 8[/tex]
[tex]-\frac{1}{8} = -\frac{1}{64}E[/tex]
Multiply by -64
[tex]-64 * -\frac{1}{8} = -\frac{1}{64}E * -64[/tex]
[tex]E = 8[/tex]
So:
[tex]A + B + E = 16 +8+8[/tex]
[tex]A + B + E = 32[/tex]
7 x [(26 - 5) - (5 + 6)]
Answer:70x
Step-by-step explanation: FIND BY OWN
The measure of an angle is 89. Find the measure of its supplementent
a. 91
b. 89
c.90
d. 80
Answer:
A) 91
Step-by-step explanation:
Supplementary angels are 2 angels whos sum is 180
To find the supplement of angle 89, substract 89 from 180
180-89 = x
91 = x
A coach collected data for his runners for 2 weeks. Week 1: Mean = 14.5 miles/ MAD = 1.15 Week 2: Mean = 16 miles/ MAD = 1.5. Which statement correctly compares the variability from Week 1 to Week 2? *
How can you rewrite -8 − 10 as an addition problem?
A
-8 + (-10)
B
-8 + 10
C
-8 + 18
D
-8 + (-18)
Answer:
A
Step-by-step explanation:
-8 + (-10) = -8 -10
pls pls i need the answer and A REALLY GOOD EXPLANATION pls pls
Answer:
15/50 will be your answer 30%
Step-by-step explanation:
First add them all up.
Then you want to make a simple equation
15/50
Answer:
30%
Step-by-step explanation:
15+10+2+20+3 = 50
therefore 15 is 30% of 50
Find (−5x−9)−(−6x−1)
At the neighborhood block party, Hassan served 3 gallons of hot chocolate and 1/2 of a gallon of apple cider. How much more hot chocolate than apple cider did Hassan serve?
Write your answer as a fraction or as a whole or mixed number.
Answer:
2 gallons and 1/2
Step-by-step explanation:
You just have to subtract 1/2 from 3.
3 - 1/2 = 2 1/2
or
3 - .5 = 2.5
And 2 1/2 is how much more he served.
Answer: 5 times more hot chocolate
Step-by-step explanation:
One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow?
Answer:
2 is the probability
Step-by-step explanation:
Mrs. Smith decides to buy three sweaters and a pair of Jeans. She has $129 in her wallet.
If the price of the Jeans Is $40.05, what is the highest possible price of a sweater, each sweater is the
same price?
Variable:
Equation:
Solution:
Answer:
Step-by-step explanation:Herely/3fcEdSx's li[tex]^{}[/tex]nk to the answer:
bit.[tex]^{}[/tex]
POSSIBLE POINTS 50
Mr Franklin needs to pay for his three kids to go to college. He figured out that college will cost an average of
$50,000 per year per child when they are ready to go to college. To pay for this, Mr. Franklin bought a cylindrical
gas truck, The truck is 40 feet long and the radius of the base is 60 inches, Gas has a density of five pounds per
cubic foot. Mr. Franklin makes $2.50 per pound of gas when he sends a delivery. How many trips of full tanks of
gas will Mr. Franklin have to send to pay for his three kids to go to four years of college each?
Be sure to label each step and show all work. Don't forget units.
a) Find the volume of the cylinder
b) Find the mass of the gas in one truckload by using the density formula
c) Find the amount of money one truckload will generate.
d) Find the amount of money four years of college will cost for Mr. Franklin's three children.
e) Find the amount of trips it will take Mr. Franklin to make enough money to pay for college,
5
x Clear
Und
Answer:
2500
Step-by-step explanation:
Select the correct answer. Which of the following is equal to the expression below? (8 - 320) 3 OA. 40 O B. 30 OC. 10 5 OD. 835
Answer:
Quesiton is not clear. here is the asnswer basing on our understand
Step-by-step explanation:
(8-32)3 = (-24*3) = =72
30 ft.
6 ft.
4 ft.
20 ft.
?
25 ft.
PLEASE HELP QUICK
Answer:
5 ft
Step-by-step explanation:
30/6 = 5
20/4 = 5
25/x = 5
25/5 = 5
x = 5
Answer:
5 feet
Step-by-step explanation:
the triangles are scaled by the factor of 5
What is the area of the base of the cone below? 12ft v=90ft^3
Answer: C 22.5 ft2!
Step-by-step explanation:
i took the test, have a great day:) <3
Answer:
right
Step-by-step explanation:
8. True or False. The correlation coefficient is a measure of the strength of an
association between two variables.
Help I need this answer ASAP
Answer: c
Step-by-step explanation: because yes
Answer:
d po answer
yan po sinagot ko
hehe
Only please help #2,3,5, and 6
Answer:
3.$0.9
5.9:3 =3:1
Step-by-step explanation:
3.$5.40÷6=$0.9
Which numbers are irrational? Select all that apply.
Answer:
I believe Option 1, 2 and 4 are all irrational numbers Hope this helps
Step-by-step explanation: