Answers
1. 5 (3m + 1)
2. 2x * (5x + y - 8)
3. 48y * (2y - x)
Hope this helps
Related Questions
Is 9 a rational or non-rational number
Answers
Answer: 9 is a rational number.
Step-by-step explanation:
it is a Rational number
.
9
.
.
.
.
does anybody know how to do the rest of this? also I'll give brainliest ;p
Answers
Answer:
I what you gotta do is this where they say subtract previous temperature from current temperature all you have to do is on that row subtract the temperature written there from the one directly above it that is all I can advise you to do that is what it means also in the other one that says the same thing that's all you have to do nothing more nothing less
Find the supremum and infimum of each of the following sets of real numbers
S = {3x 2 − 10x + 3 < 0}
Answers
Answer:
[tex]\sup(S) = 3[/tex].
[tex]\displaystyle \inf(S) = \frac{1}{3}[/tex].
Step-by-step explanation:
When factored, [tex]3\,x^{2} - 10\, x + 3[/tex] is equivalent to [tex](3\, x - 1)\, (x - 3)[/tex].
[tex]3\, x^{2} - 10\, x + 3 < 0[/tex] whenever [tex]\displaystyle x \in \left(\frac{1}{3},\, 3\right)[/tex].
Typically, the supremum and infimum of open intervals are the two endpoints. In this question, [tex]\sup(S) = 3[/tex] whereas [tex]\displaystyle \inf(S) = \frac{1}{3}[/tex].
Below is a proof of the claim that [tex]\sup(S) = 3[/tex]. The proof for [tex]\displaystyle \inf(S) = \frac{1}{3}[/tex] is similar.
In simple words, the supremum of a set is the smallest upper bound of that set. (An upper bound of a set is greater than any element of the set.)
It is easy to see that [tex]3[/tex] is an upper bound of [tex]S[/tex]:
For any [tex]x > 3[/tex], [tex]3\,x^{2} - 10\, x + 3 > 0[/tex]. Hence, any number that's greater than [tex]3\![/tex] could not be a member [tex]S[/tex]. Conversely, [tex]3[/tex] would be greater than all elements of [tex]S\![/tex] and would thus be an upper bound of this set.To see that [tex]3[/tex] is the smallest upper bound of [tex]S[/tex], assume by contradiction that there exists some [tex]\epsilon > 0[/tex] for which [tex](3 - \epsilon)[/tex] (which is smaller than [tex]3\![/tex]) is also an upper bound of [tex]S\![/tex].
The next step is to show that [tex](3 - \epsilon)[/tex] could not be a lower bound of [tex]S[/tex].
There are two situations to consider:
The value of [tex]\epsilon[/tex] might be very large, such that [tex](3 - \epsilon)[/tex] is smaller than all elements of [tex]S[/tex].Otherwise, the value of [tex]\epsilon[/tex] ensures that [tex](3 - \epsilon) \in S[/tex].Either way, it would be necessary to find (or construct) an element [tex]z[/tex] of [tex]S[/tex] such that [tex]z > 3 - \epsilon[/tex].
For the first situation, it would be necessary that [tex]\displaystyle 3 - \epsilon \le \frac{1}{3}[/tex], such that [tex]\displaystyle \epsilon \ge \frac{8}{3}[/tex]. Let [tex]z := 1[/tex] (or any other number between [tex](1/3)[/tex] and [tex]3[/tex].)
Apparently [tex]\displaystyle 1 > \frac{1}{3} \ge (3 - \epsilon)[/tex]. At the same time, [tex]1 \in S[/tex]. Hence, [tex](3 - \epsilon)[/tex] would not be an upper bound of [tex]S[/tex] when [tex]\displaystyle \epsilon \ge \frac{8}{3}[/tex].With the first situation [tex]\displaystyle \epsilon \ge \frac{8}{3}[/tex] accounted for, the second situation may assume that [tex]\displaystyle 0 < \epsilon < \frac{8}{3}[/tex].
Claim that [tex]\displaystyle z:= \left(3 - \frac{\epsilon}{2}\right)[/tex] (which is strictly greater than [tex](3 - \epsilon)[/tex]) is also an element of [tex]S[/tex].
To verify that [tex]z \in S[/tex], set [tex]x := z[/tex] and evaluate the expression: [tex]\begin{aligned} & 3\, z^{2} - 10\, z + 3 \\ =\; & 3\, \left(3 - \frac{\epsilon}{2}\right)^{2} - 10\, \left(3 - \frac{\epsilon}{2}\right) + 3 \\ = \; &3\, \left(9 - 3\, \epsilon - \frac{\epsilon^{2}}{4}\right) - 30 + 5\, \epsilon + 3 \\ =\; & 27 - 9\, \epsilon - \frac{3\, \epsilon^{2}}{4} - 30 + 5\, \epsilon + 3 \\ =\; & \frac{3}{4}\, \left(\epsilon\left(\frac{16}{3} - \epsilon\right)\right)\end{aligned}[/tex].This expression is smaller than [tex]0[/tex] whenever [tex]\displaystyle 0 < \epsilon < \frac{16}{3}[/tex]. The assumption for this situation [tex]\displaystyle 0 < \epsilon < \frac{8}{3}[/tex] ensures that [tex]\displaystyle 0 < \epsilon < \frac{16}{3}\![/tex] is indeed satisfied. Hence, [tex]\displaystyle 3\, z^{2} - 10\, z + 3 < 0[/tex], such that [tex]z \in S[/tex].At the same time, [tex]z > (3 - \epsilon)[/tex]. Hence, [tex](3 - \epsilon)[/tex] would not be an upper bound of [tex]S[/tex].Either way, [tex](3 - \epsilon)[/tex] would not be an upper bound of [tex]S[/tex]. Contradiction.
Hence, [tex]3[/tex] is indeed the smallest upper bound of [tex]S[/tex]. By definition, [tex]\sup(S) = 3[/tex].
The proof for [tex]\displaystyle \inf(S) = \frac{1}{3}[/tex] is similar and is omitted because of the character limit.
Maths Option answers.
Answers
Answer:
3, 4, 5
Step-by-step explanation:
so, we need to find all integers for which
23 <= 7x + 2 <= 37
=>
21 <= 7x <= 35
3 <= x <= 5
so, that is correct for x = 3, x = 4 and x = 5.
Lines k and I are parallel and the measure of angle ABC is 22 degrees. Find the measure of the other angles.
What is the measure of angle DCE?
Α. 158
B. 73
C. 124
D. 22
Answers
Answer:
A. 158
Step-by-step explanation:
Angle ABC and Angle ECF have the same tick mark(little line over the angle). The means they are congruent, the same. Since Angle ECF + Angle DCE = 180 degrees, 180 - 22 is the measure of angle DCE, or 158. You're welcome, and brainliest me.
Wanted to add that this is not at all college math. This like middle school lvl bro.
The mass of the eggs laid by a certain breed of hen is a normally distributed random variable with mean 0.06kg and standard deviation 0.009kg. If a random sample of 1800 eggs are sold, how many would you expect to have mass; (i)Less than 0.052 kg (standard size). (ii)Between 0.052 kg and 0.075kg (medium size).(iii)Greater than 0.075 kg (large size).
(b)If the cost of producing an egg in (a) is Gh¢0.45 and selling price of each standard, medium and large size eggs are Gh¢0.60, Gh¢0.80, and Gh¢0.95 respectively, calculate (i)The expected profit to be made from selling the standard size, medium size and large size eggs. (ii)The overall profit.
Answers
a (i) The number of standard size is 288 eggs
a (ii) The number of medium size is 1,476 eggs
a (iii) The number of large size is 36 eggs
b (i) The expected profit made from selling the standard size is Gh¢43.2
b (ii) The expected profit made from selling the medium size is Gh¢516.6
b (iii) The expected profit made from selling the large size is Gh¢16.2
The given parameters:
the mean of the distribution, m = 0.06 kg
standard deviation (std) of the distribution, d = 0.009 kg
number of the samples, n = 1800 eggs
(i) Find the position of "less than 0.052 kg (standard size)":
1 standard deviation below the mean = m - d m - d = 0.06 kg - 0.009 kg = 0.051 kg(the standard size is 1 standard deviation below the mean)
less than 1 standard deviation below the mean in a normal distribution is equal to 16% of the data samplesNumber of standard size = 0.16 x 1800 = 288 eggs(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":
0.052 kg is 1 standard deviation below the mean2 standard deviation above the mean = m + 2dm + 2d = 0.06 + 2(0.009) = 0.078 kg(the medium size is between 1 std below the mean and 2 std above the mean)
Between 1 std below the mean and 2 std above the mean in a normal distribution = (68 + 14)% = 82%Number of medium size = 0.82 x 1800 = 1,476 eggs(iii) Find the position of "Greater than 0.075 kg (large size)":
0.078 kg is 2 standard deviation below the meangreater than 2 std above the mean in a normal distribution = 2 % of the data samples Number of large size = 0.02 x 1800 = 36 eggsCheck: 288 eggs + 1476 eggs + 36 eggs = 1,800 eggs
(b) the cost of production of an egg = Gh¢0.45
the selling price of the standard size = Gh¢0.60
the selling price of the medium size = Gh¢0.80
the selling price of the large size = Gh¢0.95
(i) The expected profit made from selling the standard size:
Profit = total revenue - cost of production
Profit = 288(0.6) - 288(0.45) = Gh¢43.2
(ii) The expected profit made from selling the medium size:
Profit = total revenue - cost of production
Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6
(iii) The expected profit made from selling the large size:
Profit = total revenue - cost of production
Profit = 36(0.9) - 36(0.45) = Gh¢16.2
Learn more here: https://brainly.com/question/22520030
The data below represent the per capita (average) disposable income (income after taxes) for 25 randomly selected cities in a recent year.
Answers
Frequency distribution allows finding the occurrence of events: 12, 9, 0, 1
The frequency distribution is a grouping of data in exclusive categories, where the number of occurrences of each event is indicated
In this case the categories and their occurrences are
Categories Occurrence Frecuencie relative (%)
30,000 - 36,000 12 54.5%
36000 - 42000 9 40.9%
42000 - 48000 0 0%
48000 - 54000 1 4.5%
With these data, bar graphs can be built where the category is placed on the x-axis, an independent variable, and the occurrences on the y-axis, a dependent variable.
With these distributions, relative frequency is defined, which is the number of times a category appears among the total number of events.
fr = occurrence /n
Where fr is the relative frequency and n is the number of events, sometimes it is given as a percentage by multiplying by one hundred
In this case the number of events is n = 22
Category 30000- 36000
fr₁ = 12/22
fr₁ = 0.5454
fr₁% = 54.5%
Category 36000 - 42000
fr₂ = 9/22
fr₂ = 0.4090
fr₂% = 40.9%
Category 42000-48000
fr₃ = 0
fr₃% = 0%
Category 48000 - 54000
fr₄ = 1/22
fr₄ = 0.04545
fr₄% = 4.5%
The frequency distribution allows finding the occurrence of the events:
12, 9, 0, 1
Learn more about frequency distribution here: brainly.com/question/17008997
Dave's favorite baseball team has won 10 fewer games than Kimiko's favorite baseball team. Write an algebraic expression for the number of games Dave's favorite team has won. Be sure to induct what variable is your expression represents.
Answers
Let x be the variable, and the unknown that gives the number of games Dave's favorite team has won.
Let y be the variable that express the number of games Kimiko's favorite baseball team has won.
Since Dave's favorite baseball team has won 10 games less than Kimiko's favorite baseball team, we can express this situation this way :
y - 10 = xy = x+10Sayyida has a circular garden of radius 21m. She ran round the garden twice. what distance did she cover?
Answers
answer
C = 263.76 m
Step-by-step explanation:
C = 2×pi×r
C = 2×3.14×21
C = 131.88 m
For 2 rounds,
C = 131.88 x 2
C = 263.76 m
suppose that a country has approximately 3,900 cellular phones per 1000 people express the number of phones per person as a whole or mixed number. The number of phones per person is?
Answers
Answer:
40,0000000000000000000
Answer:
3 9/10
Step-by-step explanation:
One angle of a triangle measures 136º. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
Answers
Answer:
22°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
x + x + 136° = 180°
2x + 136° = 180° ( subtract 136° from both sides )
2x = 44° ( divide both sides by 2 )
x = 22°
Consider this expression.
m^2+ n^2
When m
-5 and n =
3, the value of the expression is
Answers
Step-by-step explanation:
m^2+ n^2 = (-5)² + 3² = 25+9 = 34
Answer:
34
Step-by-step explanation:
Edmentum/Plato
I am a 2 digit number.I have six in the one place.I am less than 24.What number am I talking about?
Answers
Answer:
16
Step-by-step explanation:
The digit '6' is in the ones place.
It is a 2 digit number so the number is between 10 and 24.
=> 16
Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation
Answers
Answer:
x = 2
Step-by-step explanation:
x+4=3x
-x -x
----------
4 = 2x
/2 /2
---------
2 = x
Sam glued 21 identical cubes together to form the solid shown below. He painted the exposed faces of the solid including the base. Find the total area that Sam painted.
Answers
Answer:
[tex]3456\; \rm cm^{2}[/tex].
Step-by-step explanation:
The diagram suggests that the length of a row of five cubes is [tex]40\; \rm cm[/tex]. Hence, the length of the edge of each cube would be:
[tex]\displaystyle \frac{40\; \rm cm }{5} = 8\; \rm cm[/tex].
That would correspond to an area of [tex](8\; \rm cm)^{2} = 64\; \rm cm^{2}[/tex] for each face of the cube.
Refer to the diagram attached.
Viewing from the front and from the rear each shows [tex]11[/tex] faces of the cubes.
Viewing from the top and from the bottom each shows [tex]10[/tex] faces of the cubes.
Viewing from the left and from the right each shows [tex]6[/tex] faces of the cubes.
When viewed from the six perspectives, [tex]2 \times 11 + 2 \times 10 + 2 \times 6 = 54[/tex] faces of the cubes are visible in total.
For this particular construction, all faces that need to be painted are visible when viewed from exactly one of the six perspectives: front, rear, top, right, left, right. Hence, Sam would need to paint [tex]54[/tex] of such [tex]64\; \rm cm^{2}[/tex] squares.
The area that Sam needs to paint would be [tex]54 \times (64\; \rm cm^{2}) = 3456\; \rm cm^{2}[/tex].
Solve for x: 2(x + 6) = 22
Answers
Answer:
5
Step-by-step explanation:
2(x+6)=22
(x+6)=11
x=5
x = 5
Step-by-step explanation:
2(x + 6) = 22
2x + 12 = 22
2x = 10
x = 5
___________________
Hope this helps!
Love you.
- doomdabomb
To which set of numbers does 0.02020020002 belong?
Answers
9514 1404 393
Answer:
A. irrational only
Step-by-step explanation:
A decimal fraction is not a natural number or integer, so choices C and D can be eliminated immediately.
The decimal has a predictable pattern, but that pattern guarantees it does not repeat. A non-repeating, not-terminating decimal is an irrational number.
In ΔRST, m < R = 104°, r = 20, and t = 10. Find the m < S, to nearest degree.
Answers
9514 1404 393
Answer:
47°
Step-by-step explanation:
The law of sines helps you find angle T. From there, you can find angle S.
sin(T)/t = sin(R)/r
sin(T) = (t/r)sin(R) = (10/20)sin(104°)
T = arcsin(sin(104°)/2) ≈ 29°
Then angle S is ...
S = 180° -R -T = 180° -104° -29°
∠S = 47°
Choose the correct statement. Consider the expression: 6.43
А
The product of one rational number and one irrational number is rational.
B
The product of one rational and one irrational number is irrational.
C
The product of two irrational numbers is irrational.
D
The product of two rational numbers is rational.
Answers
Answer:
D
Step-by-step explanation:
Goky kwiwiwjwjjwiwjwiw
Is 3.1245769 a irrational number or a rational
Answers
. Mr. Sheng is using a faucet attachment to fill the fish tank in his blology classroom. The graph below shows the amount of water in the
tank during the first several minutes since he turned on the faucet. What is the slope of a line joining the points on the graph? If your
answer is not an integer, express it as a decimal.
Answers
Answer:
8
Step-by-step explanation:
Slope = (change in y) / (change in x) = (y₂-y₁)/(x₂-x₁)
We have two points on the graph, (2, 16) and (6, 48)
Let's say (2, 16) = (x₁, y₁) ( there's no reason why (6, 48) can't be (x₁, y₁), but one of them has to be it) and (6, 48) = (x₂, y₂). Our slope is then
(y₂-y₁)/(x₂-x₁) = (48-16) / (6-2) = 32 / 4 = 8
How do I find the size of CDO AND AOD
Answers
Answer:
you can use a protector for finding the angles and a ruler finding the length of the lines
Answer:
CDO=26cm
AOD=32cm
Step-by-step explanation:
Simplify the expression. Write your answer using only positive exponents (3t^-4)
Answers
Answer:
[tex]\frac{3}{t^{4}}[/tex]
Step-by-step explanation:
x^-y=1/(x^y) so 3t^-4=3/(t^4)
Select all of the following that have the same value as 30,452.
A. (3 x 1,000) + (4 x 100) + (5 x
10) + (2 x 1)
B. (3 x 104) + (4 x 10') + (5 x 10²) + (2 x 10')
C. 30,000 + 400 + 50 + 2
D. thirty thousand, four hundred fifty-two
E. (3 x 104) + (4 x 10²) + (5 x 10') + (2 x 10°)
F. thirty-four thousand, fifty-two
Answers
Considering the values of each digit, the expressions that have the same values as 30,452 are given by:
C. 30,000 + 400 + 50 + 2.
D. thirty thousand, four hundred fifty-two
What are the values of the digits in a number?We start at the final digit, the unit digit, with value 1, and moving to left, each digit has a value multiplied by 10.
Hence, for number 30,452, we have that:
Digit 2 has a value of 1.Digit 5 has a value of 10.Digit 4 has a value of 100.Digit 0 has a value of 1000.Digit 3 has a value of 10,000.Hence the number, multiplying each digit by it's value, can be written as:
C. 30,000 + 400 + 50 + 2.
The number is also read as:
D. thirty thousand, four hundred fifty-two
More can be learned about the values of the digits in a number at https://brainly.com/question/2041524
#SPJ1
Find the equation of a line passing through the point of intersection of line 2x+y-8=0 and 3x-4y=3 and is parallel to line Y=2x-8
Answers
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.Jean can bake 42 loaves of bread every 4 hours. At this rate, how many loaves of bread can he bake in one
week (7 days) if he works 8 hour days?
HELPPPP
Answers
Answer:
588 loaves
Step-by-step explanation:
First determine how many hours in the 7 days that he works
7 days * 8 hours = 56 hours
Using a ratio
42 loaves x loaves
-------------- = ----------------
4 hours 56 hours
Using cross products
42* 56 = 4x
Divide by 4
42 *56/4 = x
588 loaves
compare and explain.
Answers
Given that the mean of a set of data is 25 and the standard deviation is 3,
what is the coefficient of variation?
A) 0.12
B) 12%
C) 8.33
D) 833%
Answers
CV = 3/25 *100%
Cv = 12%
PLS HELP!! Will give brainliest!
Angle AOC measures 84 degrees. Angle AOB = 3x and BOC is x
First, write the equation you would use to find the answer then find the value of x
Answers
Answer:
∠AOB + ∠BOC = ∠AOC we will be using this equation
x = 21 this is the value of x
Step-by-step explanation:
Angle AOC = 84
Angle AOB = 3x
Angle BOC = x
it is given that Angle AOC = 84so we just need to add Angle AOB and Angle BOC
now lets make the equation we that we will be using
∠AOB + ∠BOC = ∠AOC
3x + x = 84
4x = 84
x = 84 ÷ 4
x = 21
Step-by-step explanation:
Here, we have,
AOC=84°
AOB=3x
BOC=x
Now, the required equation will be;AOC=AOB+BOC[whole part axiom]
or, 84°=3x+x
or, 84°=4x
or, 84°÷4=x
or, x=21°
Thus, the equation to find the answer is AOC=AOB+BOC and the value of x is 21°.
If my weekly income was to increase by 15% next year.
How much would I be earning in a week then? (was $750 a week)
Answers
Answer:
862.50
Step-by-step explanation:
First find the amount of increase
750 * 15%
750 *.15
112.50
Add this to the original amount
750+112.50
862.50