Answer:
D.
Step-by-step explanation:
The required inequality is given as x ≥ 100 as the water boils at 100°C and above, Option B is correct.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
As given in the question,
Water boils at 100°C and above,
So let x be the temperature of the water,
And according to the condition,
x ≥ 100° C
Thus, the inequality x ≥ 100 is shown in option B.
Thus, the required inequality is given as x ≥ 100 as the water boils at 100°C and above, and Option B is correct.
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In slope-intercept form, what is the equation of a line perpendicular to y = 2x+ 7 that passes through the point (5,8)?
1
y=0.5x - 10.5
O 2
y = -0.5x + 10.5
3
y = 2x + 10.5
4
y = -2x - 10.5
Answer:
2
y = -0.5x + 10.5
Step-by-step explanation:
put a negative sign and 1 on top of the number next to the x to get the line thats perpendicular
2
y = -0.5x + 10.5
2) Consider the quadratic sequence 72, 100, 120, 132
2.1.1) Determine Tn the nth term of the quadratic.
Answer:
Tn = -4n²+40n+36
Step-by-step explanation:
A general quadratic sequence, Tn = an²+bn+c, where n is the term of the sequence.
So, when n = 1, Tn = 72, which means T1 = a+b+c=72.
when n = 2, Tn = 100, which means T2= 4a+2b+c = 100
when n = 3, Tn = 132, which means T3 = 9a+3b+c = 132.
Now, use a calcaulatot to solve the 3 variable simultaneous equation. According to my calculator, a = -4, b = 40, c = 36.
Hence, you a, b, and c in the Tn equation given above.
Therefore, Tn = -4n²+40n+36
what is 4 9/6 as a mixed number
Answer:
33
Step-by-step explanation:
6x4+9= 33
I’m so confused. Need the help
1.621 kN
Step-by-step explanation:
Let the centerline of the canal be the x-axis. Because the forces exerted by the horses are symmetric to the centerline, only the x-components of these forces contribute to the resultant force on the barge, i.e., the y-components cancel out. Each x-component is equal to [tex]F_x = 839\cos 15[/tex] = 810.4 N. Therefore, the resultant force on the barge is twice this:
[tex]F_{net} = 2(839\:\text{N})\cos 15 = 1620.8\:\text{N}[/tex]
[tex]= 1.621\:\text{kN}[/tex]
Diane bought new headphones originally listed for $70.99. They are 25% off. Which equation can be used to find the amount Diane will save?
Step-by-step explanation:
100% = $70.99
there is a discount of 25%.
that means 75% (100 - 25) of the original price remains.
the equation to get any x% amount of a 100% total is simply
x% amount = 100% total amount × x/100
25% = 70.99 × 25/100 = $17.75
Yanni read 24 pages of
a book. One third of the book is
still left to read. How many
pages are there in the
whole book?
Answer:
36 pages
Step-by-step explanation:
If one third of the book is left to read until completion, then Yanni has read two thirds of the book so far.
24 pages is equal to two thirds, so one third will be half of this; 12 pages.
The whole book is three thirds, so 12 * 3, which is 36 pages
Answer:
di gun0ifulgwuytid5
Step-by-step explanation:
DJ e57
Given the coordinates of two points on a line, explain two methods to determine the slope of the line.
Answer:
Step-by-step explanation:
1. Use the slope formula (y2 - y1 / x2 - x1)
2. Use the graph. Take two points and count the rise over the run.
What value of x makes the equation 3x +7=22
Answer:
x = 5
Step-by-step explanation:
Your goal is to isolate x
3x + 7 = 22
Subtract 7 from both sides and you are left with
3x = 15
In order to isolate x divide both sides by 3
x = 5
In the figure, L1 || L2. 2x=174º. Find Za+Zb.
9514 1404 393
Answer:
12°
Step-by-step explanation:
We assume you mean ...
∠x = 174°
Angle a is supplementary to angle x, so is ...
∠a = 180° -174° = 6°
Angle b is a vertical angle with respect to angle 'a', so is the same measure.
∠a +∠b = 6° +6° = 12°
What is the value of the expression below when w =
9 and x = 2?
w – 4x
Which expressions are equivalent to -6n+(-12)+4n
Choose all answers that apply:
A. 4(n-3) -6n
B. 2(2n-6)
C. None of the above
Answer:
i THINK its A. 4(n-3) -6n
Step-by-step explanation:
Have a wonderful day!!
Can you please help me
Answer:
you will type your answers and send
Answer:
Step-by-step explanation:
⅔-2/5 = 4/15
!!!!!!!!PLEASE HELP NOW !!!!!!!!!!!!!!!!!!
What is the following product?
45 47 47.45
4(977)
O AN
74
7
Answer:
7
Step-by-step explanation:
You can convert the fourth square roots to [tex]7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}} * 7^{\frac{1}{4}}}[/tex]. Using the product of powers rule, we can add the four terms' exponents, resulting in [tex]7^1[/tex], which is 7.
What is the difference between the temperature - 7 Celsius and - 12 Celsius on a scatter diagram
Answer:
Sự khác biệt giữa nhiệt độ - 7 độ C và - 12 độ C trên biểu đồ phân tán là gì
Step-by-step explanation:
The pie chart shows student participation in fundraisers
at Mountain View Middle School.
Mountain View Middle School
Fundraisers
Which describes a bar diagram showing the percent of
students who participated in dances?
1 shaded square out of 10 squares
2 shaded squares out of 10 squares
3 shaded squares out of 10 squares
4 shaded squares out of 10 squares
20
Carnival
Car Wash
Bake Sale
Talent Show
10
50
5
15
Dances
Answer:
Step-by-step explanation:
If you add all of the numbers up, you get 100. Dances are colored purple, and that is 20. 20/100 simplified is 1/5. 1/5 is equivalent to 2/10. Therefore, the answer is 2 shaded squares out of 10 squares.
Now suppose that not every player can play in every position. The outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch. Suppose a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers.
How many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled?
Answer:
The team can assign field positions to 9 of the 19 players in 181,440 different ways.
Step-by-step explanation:
Since the outfielders (left field, center field, right field) can play any outfield position, the infielders (1st base, 2nd base, 3rd base, short stop) can play any infield position, the pitchers can only pitch, and the catchers can only catch, supposing a certain team has 20 players, of whom 3 are catchers, 4 are outfielders, 6 are infielders, and 7 are pitchers, to determine how many ways can the team assign field positions to 9 of the 19 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled, the following calculation must be performed:
3 x 7 x 6 x 5 x 4 x 3 x 4 x 3 x 2 = X
21 x 30 x 12 x 24 = X
630 x 12 x 24 = X
181,440 = X
Therefore, the team can assign field positions to 9 of the 19 players in 181,440 different ways.
How many solutions will each system of linear equation have?
Answer:
The top system of equations has one solution, the middle system has infinitely many, and the bottom system has no solution.
Step-by-step explanation:
We can immediately see the top system has one solution because the two equations have different slopes.
For the middle system, we can rearrange terms and multiply by 3 to get that the equations are the same line, so there are infinitely many solutions.
Finally, we can move the -2x to the other side in the first equation of the bottom system to get 2x+y=5. But it also equals -7 from the second equation! This is impossible, so there are no solutions to the bottom system.
A car has 2gallons of gas. The car gets 30miles/gallon. Enter the conversion factor
The car will run 60 miles on 2 gallons of gas.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that A car has 2 gallons of gas. The car gets 30 miles/gallon.
The run of the car will be calculated as,
1 gallon = 30 miles
2 gallons = 30 x 2 miles
2 gallons = 60 miles
Therefore, the car will run 60 miles on 2 gallons of gas.
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HELPPP I need help ASAP please help me
9514 1404 393
Answer:
the first is two points; the second is the interval between (and including) those two points
Step-by-step explanation:
The equation ...
4 = |x +5|
has two solutions:
x ∈ {-9, -1}
__
In the interval between those two solutions the absolute value expression is less than 4. So, the second expression has a solution that is a range of values. Those values are in the interval whose boundaries are -9 and -1.
x ∈ [-9, -1]
__
The solution to the second expression can be found as ...
4 ≥ |x +5|
4 ≥ x+5 ≥ -4 . . . . express as a compound inequality
-1 ≥ x ≥ -9 . . . . . . subtract 5
__
The attached graph shows the two solutions. The solution to the first equation is the pair of (black) lines, x=-9 and x=-1. The solution to the second equation is the (orange) shaded interval -9 ≤ x ≤ -1.
What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?
1
–1
i
–i
Answer:
B. -1 should be the answer
Step-by-step explanation:
What is the maximum amount of a loan you can get if you pay $700 each month at a yearly rate of 0.89% for 10 years?
Answer:
$785.17
Step-by-step explanation:
Given data
PV is the loan amount
PMT is the monthly payment
i is the interest rate per month in decimal form (interest rate percentage divided by 12)
n is the number of months (term of the loan in months)
PMT =$700
n = 10 years
i = 0.89%
The formula for the loan amount is
Find the value of t for at distribution with 40 degrees of freedom such that the area between-1 and equals 99 %. Round your answer to three decimal places, if nescarry
Answer:
The value is [tex]t = 2.705[/tex].
Step-by-step explanation:
In this question, we have to find the critical value for the t-distribution, with 40 degrees of freedom, and a 99% confidence level.
99% confidence level:
We have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a two-tailed value of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.705.
The value is [tex]t = 2.705[/tex].
The jury pool for the upcoming murder trial of a celebrity actor contains the names of 100,000 individuals in the population who may be called for jury duty. The proportion of the available jurors on the population list who are Hispanic is .40. A jury of size 12 is selected at random from the population list of available jurors. Let X = the number of Hispanics selected to be jurors for this jury.
a. What is the expected number of hispanic jurors being on the jury?
b. What is the expected value (or theoretical mean) of a great earthquake off the coast of Oregon in two years?
c. Use the poisson distribution to appropriate the probability that there will be at least one major earthquake in the next two years.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Have a Spanish Jury possibility[tex]= 0.40[/tex]
Jury member No. to be chosen[tex]= n= 12[/tex]
Hispanic Juror Expected [tex]= np = 12\times 0.40 = 4.8[/tex]
The jury group will be constituted by Hispanic Jurors [tex]4.8[/tex]
OR
The binomial distribution defines the behavior of a count variable X, provided:
There are a set number of data points n.
Set [tex]n=12[/tex]
Each perception is independent. This will not affect others if your first juror is selected
One of two results is that each observation ("success" or "failure"). English or not
Each result has the same chance of "success" p. for every [tex]p=0.40[/tex]
Well by the binomial distribution. Mean[tex]=E(x)=np=4.8[/tex]
Consider the sequence {an}={3n+13n−3n3n+1}. Graph this sequence and use your graph to help you answer the following questions.
Part 1: You can simplify [tex]a_n[/tex] to
[tex]\dfrac{3n+1}{3n}-\dfrac{3n}{3n+1} = \dfrac1{3n}+\dfrac1{3n+1}[/tex]
Presumably, the sequence starts at n = 1. It's easy to see that the sequence is strictly decreasing, since larger values of n make either fraction smaller.
(a) So, the sequence is bounded above by its first value,
[tex]|a_n| \le a_1 = \dfrac13+\dfrac14 = \boxed{\dfrac7{12}}[/tex]
(b) And because both fractions in [tex]a_n[/tex] converge to 0, while remaining positive for any natural number n, the sequence is bounded below by 0,
[tex]|a_n| \ge \boxed{0}[/tex]
(c) Finally, [tex]a_n[/tex] is bounded above and below, so it is a bounded sequence.
Part 2: Yes, [tex]a_n[/tex] is monotonic and strictly decreasing.
Part 3:
(a) I assume the choices are between convergent and divergent. Any monotonic and bounded sequence is convergent.
(b) Since [tex]a_n[/tex] is decreasing and bounded below by 0, its limit as n goes to infinity is 0.
Part 4:
(a) We have
[tex]\displaystyle \lim_{n\to\infty} \frac{10n^2+1}{n^2+n} = \lim_{n\to\infty}10+\frac1{n^2}}{1+\frac1n} = 10[/tex]
and the (-1)ⁿ makes this limit alternate between -10 and 10. So the sequence is bounded but clearly not monotonic, and hence divergent.
(b) Taking the limit gives
[tex]\displaystyle\lim_{n\to\infty}\frac{10n^3+1}{n^2+n} = \lim_{n\to\infty}\frac{10+\frac1{n^3}}{\frac1n+\frac1{n^2}} = \infty[/tex]
so the sequence is unbounded and divergent. It should also be easy to see or establish that the sequence is strictly increasing and thus monotonic.
For the next three, I'm guessing the options here are something to the effect of "does", "may", or "does not".
(c) may : the sequence in (a) demonstrates that a bounded sequence need not converge
(d) does not : a monotonic sequence has to be bounded in order to converge, otherwise it grows to ± infinity.
(e) does : this is true and is known as the monotone convergence theorem.
please answer all the questions and get 15 pts
Answer:
Here you go
Ans is in pictures.
Use the method of cylindrical shells to write out an integral formula for the volume of the solid generated by rotating the region bounded by the curve y = 2x - x^2 and the line y = x about the y-axis.
Answer:
The answer is "[tex]\frac{5\pi}{6}[/tex]"
Step-by-step explanation:
Please find the graph file.
[tex]h= y=2x-x^2\\\\r= x\\\\Area=2\pi\times r\times h\\\\= 2 \pi \times x \times (2x-x^2)\\\\= 2 \pi \times 2x^2-x^3\\\\volume \ V(x)=\int \ A(x)\ dx\\\\= \int^{x=1}_{x=0} 2\pi (2x^2-x^3)\ dx\\\\= 2\pi [(\frac{2x^3}{3}-\frac{x^4}{4})]^{1}_{0} \\\\= 2\pi [(\frac{2}{3}-\frac{1}{4})-(0-0)] \\\\= 2\pi \times \frac{5}{12}\\\\=\frac{5\pi}{6}\\\\[/tex]
what is the solution for this equation?
In(x+6)-in(2x-1)=0
answers in the image!
Answer:
x=7
Step-by-step explanation:
ln(x+6)-ln(2x-1)=0
add ln(2x-1) to each side
ln(x+6) = ln(2x-1)
Raise each side to the base e
e^ln(x+6) = e^ln(2x-1)
x+6 = 2x-1
Subtract x from each side
x+6-x = 2x-1-x
6 = x-1
Add 1 to each side
6+1 = x-1+1
7=x
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]
[tex]\sf ln(x+6)-ln(2x-1)=0\\\\\tt ln(x+6)=ln(2x-1)\\\\ \sf e^{ln(x+6)}=e^{ln(2x-1)}\\\\ \tt x+6=2x-1\\\\\sf 2x-1=6+1\\\\\bold x=7[/tex]
(752+158)-625
Compute in most convenient way
Answer:
285
Step-by-step explanation:
First, you would add 752 and 158. The sum is 910. Then, you subtract 625 and get 285.
Which polynomial is prime?
Plz help!
In a gambling game a person draws a single card from an ordinary 52-card playing deck. A person is paid $17 for drawing a jack or a queen and $5 for drawing a king or an ace. A person who draws any other card pays $2. If a person plays this game, what is the expected gain
Answer:
[tex]E.G=\$2[/tex]
Step-by-step explanation:
Sample size 52 card
Pay for J or Q [tex]=\$17[/tex]
Pay for King or Ace [tex]=\$5[/tex]
Pay for others [tex]=-\$2[/tex]
Therefore
Probability of drawing J or Q
[tex]P(J&Q)=\frac{8}{52}[/tex]
Probability or drawing King or Ace
[tex]P(K or A)=\frac{8}{52}[/tex]
Probability or drawing Other cards
[tex]P(O)=\frac{36}{52}[/tex]
Therefore
Expected Gain is mathematically given as
[tex]E.G=\sum_xP(x)[/tex]
[tex]E.G=17*\frac{8}{52}+5*\frac{8}{52}+(-2)*\frac{36}{52}[/tex]
[tex]E.G=\$2[/tex]