Answer:
minden new yemilew yihegnaw tiyake
[4+3]
2071 Q. No. 14 (0)
State Bolazano Weirstrass theorem. If A is any set in R then prove A = AUA'. [1+3]
2071 Q. No. 14 (ii) a
Define isolated point.
And find the isolated point for the set A = (0, 1){2}.
2072 Q. No. 2
The notation A = {0,1, 2} is an illustration of sets
The set A do not have isolated points
What is an isolated point?
An isolated point is an element of a set that belongs to a set A and any neighboring sets N, such that the set N do not contain other elements of set A
The isolated point for set A?The set A is given as:
A = {0,1, 2}
The elements of the set A do not exists in other sets
So, we can say that set A do not have isolated points
Read more about sets at:
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5. The sports store sold three times as many basketballs as footballs last month. If they sold
140 fewer footballs than basketballs, how many of each type of ball did they sell last
month?
Answer:
basketballs = 210 footballs = 70
Step-by-step explanation:
footballs =b
basketballs= 3b
if there ate 140 fewer footballs than basketballs it means that the difference between basketballs and footballs sold is 140
hence 3b - b = 140
2b= 140
b= 70
hence footballs are 70
while basketballs are 70×3 = 210
Let f(x) =5x-1, h(x)= -x+5.
Find (h of)(3).
(hof)(3)
(h ◦ f)(x) is the composition of h(x) with f(x),
(h ◦ f)(x) = h(f(x))
which we can compute by simplying replacing in h(x) every instance of x with f(x) itself:
(h ◦ f)(x) = h(f(x))
(h ◦ f)(x) = h(5x - 1)
(h ◦ f)(x) = -(5x - 1) + 5
(h ◦ f)(x) = -5x + 1 + 5
(h ◦ f)(x) = -5x + 6
Then
(h ◦ f)(3) = -5 • 3 + 6
(h ◦ f)(3) = -15 + 6
(h ◦ f)(3) = -9
PLEASE HELP!! WILL MARK BRAINLIEST!!!
Set up the triple integral for the volume of the sphere ρ=4 in spherical coordinates.
In Cartesian coordinates, the volume is
[tex]\displaystyle \iiint_R \mathrm dV[/tex]
where R is the set
[tex]R = \left\{(x,y,z) \, : \, -4\le x\le4 \text{ and } -\sqrt{16-x^2} \le y \le \sqrt{16-x^2} \text{ and }\right. \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~\left.-\sqrt{16-x^2-y^2} \le z \le \sqrt{16-x^2-y^2} \right\}[/tex]
Converting to spherical coordinates, we take
[tex]\begin{cases}x=\rho\cos(\theta)\sin(\phi) \\ y=\rho\sin(\theta)\sin(\phi) \\ z = \rho\cos(\phi)\end{cases}[/tex]
and we can compute the Jacobian to find
[tex]dV = dx\,dy\,dz = \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi[/tex]
and the set R transforms to
[tex]R' = \left\{(\rho,\theta,\phi) \,:\, 0\le \rho\le4 \text{ and }0\le\theta\le2\pi \text{ and } 0\le\phi\le\pi\right\}[/tex]
The new integral and hence the volume is then
[tex]\displaystyle \iiint_R \mathrm dV = \iiint_{R'} \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi \\\\ = \boxed{\int_0^\pi \int_0^{2\pi} \int_0^4 \rho^2 \sin(\phi) \, d\rho \, d\theta \, d\phi}[/tex]
Use calculus to find the volume of the following solid S:
The base of S is a circular disk with radius r. Parallel cross-sections perpendicular to the base are squares.
I assume the base of S is the disk centered at the origin, or x² + y² ≤ r². Solving for y gives two solutions corresponding to the upper and lower halves of the circular boundary,
[tex]x^2+y^2 = r^2 \implies y = \pm \sqrt{r^2-x^2}[/tex]
and the vertical distance between them - i.e. the side length of each cross section - is
[tex]\sqrt{r^2-x^2} - \left(-\sqrt{r^2-x^2}\right) = 2\sqrt{r^2-x^2}[/tex]
Then the volume of each square cross section 4 (r² - x²) ∆x, and the volume of S is
[tex]\displaystyle \int_{-r}^r 4(r^2-x^2) \, dx[/tex]
By symmetry, this is the same as
[tex]\displaystyle 8 \int_0^r (r^2-x^2) \, dx[/tex]
which gives a volume of
[tex]\displaystyle 8 \int_0^r (r^2-x^2) \, dx = 8 \left(r^3 - \frac{r^3}3\right) = \boxed{\frac{16r^3}3}[/tex]
PLEASE HURRY 30 POINTS
A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 2 and the coln
toss is heads?
Write your answer as a fraction in simplest form.
hope it helps...!!!!
The probability that the number rolled is greater than 2 and the coin toss is heads is,
⇒ 1/ 3
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Now, In probability theory, "AND" means multiplication and "OR" means "addition".
Hence, We can find the 2 probabilities separately and multiply them (as there is "AND")
So, Probability for number rolled greater than 2 = number of numbers that are greater than 2/total number of numbers
Since, There are 4 numbers greater than 2 in a die (3, 4, 5, 6) and total 6 numbers, so
P(number greater than 2) = 4/6 = 2/3
Now, Probability that heads come up in coin toss = 1/2 (there are 1 tail and 1 head in a coin)
Hence,
P(number greater than 2 and heads in coin) = 2/3 × 1/2 = 1/3
Thus, the probability that the number rolled is greater than 2 and the coin toss is heads is,
⇒ 1/ 3
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Hello I would really appreciate if someone could help me with this math question. I’m so confused
Answer:
a. f = 17.5/c
b. 8.75 N
Step-by-step explanation:
(a)Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...
f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)
We find the value of k using data given for a specific instance.
3.5 N = k(1/(5 cm)) . . . . use the given values
17.5 N·cm = k . . . . . . multiply by the denominator
Then the equation of interest is ...
f = 17.5/c . . . . . . . where c is in cm, and f is in newtons
__
(b)Using the above equation, we find the force to be ...
f = 17.5/2 = 8.75 . . . . newtons
_____
Additional comment
We often look at several different kinds of proportionality:
y = kx . . . . directy = k(1/x) . . . . inversey = kx² . . . . proportional as the squarey = kx·z . . . . jointly proportional to x and zand there are combinations of these, such as ...
y = kr²h . . . . jointly proportional to h and the square of rYou may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x ⇒ xy = k
__
We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.
f = (17.5 N·cm)/(2 cm) = 8.75 N . . . . . units of cm cancel
On the 11th of March, 2011, an earthquake along the eastern shore of Japan caused a tsunami, which
then damaged a nuclear power plant. Several radioactive elements were released into the air and ocean.
Use an exponential decay formula to model how long some of these elements can be expected to persist
in the environment.
4. Cesium-137 has a decay constant of
0.0231 (a 30 year half-life). If 20
pounds of cesium-137 were released
into the Pacific Ocean by the tsunami,
how much will still be there ten years
later?
5. Strontium-90 has a decay constant of
0.0248 (a 28 year half-life). If 80
pounds of strontium-90 were
released into the Pacific Ocean by the
tsunami, how much will be left in 75
years?
6. When strontium-90 decays, it transforms into yttrium-90, which has a half-life of
only 64 hours, (0.007302 years). If the decay constant of yttrium-90 is -94.93,
what percentage of a one-pound sample will be left after one month ( of a
year)?
The radioactive sponteanous decay of the parent nucleus gives rise to the daughter nucleus.
What is radioactivity?Radioactivity refers to the sponteanous decay of a substance. We have the formula;
N(t) = Noe^-kt
Where;
N(t) = amount of radioactive material left after time t
No = amount of radioactive material initially present
k = decay constant
t = time taken
Let us now solve the questions individually;
a)
No = 20 pounds
N(t) = ?
k = 0.0231
t = 10 years
N(t) = 20e^-(0.0231 * 10)
N(t) = 16 pounds
b)
No = 80 pounds
N(t) = ?
k = 0.0248
t = 75 years
N(t) =80e^-(0.0248 * 75)
N(t) = 12.45 pounds
Learn more about radioactivity: https://brainly.com/question/15289741?
PLEASE HELP: PICTURE ATTACHED
Multiply 80 by number of copies sold and add to her salary:
P = 80N + 1700
Now replace N with 26:
P = 80(26) + 1700
P = 3,780
Answer:
P=1,700+80n
Total Pay if Yoko sells 26 Copies; 3,780
Hope This Helps! :) Please Mark Brainliest!
LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN=13x-9 and MP=4x+5
Answer:
x = 3.25 Each diagonal = 34.25. Step-by-step explanation: LMNP is a rectangle and it has diagonals LN and MP. Now, given that LN = 13x - 8 and MP = 9x + 5 Now, we know that the two diagonals of a rectangle are of the same length. So, LN = MP ⇒ 13x - 8 = 9x + 5 ⇒ 4x = 13 ⇒ x = 3.25 (Answer) Therefore, the each diagonal is of (13 × 3.25 - 8) = 35.25 length. (Answer)
Read more at Answer.Ya.Guru – https://answer-ya.com/questions/4694576-lmnp-is-a-rectangle-find-the-value-of-x-and-the-length-of-each.html
Step-by-step explanation:
Answer:
Can you provide an Attachment?
Step-by-step explanation:
^^
The area of the circle
Answer:
A=1
4πd2=1
4·π·122≈113.09734
Step-by-step explanation:
Answer:
113.04 feet :)
Step-by-step explanation:
First we divide 12 by 2 to find the radius!
12/2 = 6
Now we can solve!!
3.14(6^2)
3.14(36)
113.04
Have an amazing day!!
Please rate and mark brainliest!!
You invest $30,000 for 6 years, in an account that earns 14% interest. How much money is in your account at the end of 6 years?
A
$69,153.95
B
$95,848.50
C
$35,849.18
D
$65,849.18
Solve the absolute value inequality 3x-1<8
Answer:
3
Step-by-step explanation:
3x - 1 < 8
Solve this inequality like a two-step equation.
Add 1 to both sides to cancel the -1.
3x - 1 < 8
3x < 9 Divide both sides by 3 to cancel the 3 in 3x.
x < 3
Find the absolute value (distance the number is from 0).
Absolute value = 3
I hope this helps and please mark me as brainliest!
What is the lateral surface area of the triangular prism?
Round to the hundredths place.
Answer:
A triangular prism is a three-dimensional shape having two triangular bases and three rectangular sides.
Donna received a $90 gift card for a coffee store. She used it in buying some coffee that cost $7.59 per pound. After buying the coffee, she had $59.64 left on her card. How many pounds of coffee did she buy?
Answer: 4 pounds
Step-by-step explanation:
First, we will see how much the coffee cost by subtracting what was left by the total gift card.
$90 - $59.64 = $30.36
Now, we will divide how much the coffee cost by how much one pound costs. This will give us how many pounds she bought, and the answer to your problem
$30.36 / $7.59 = 4
She bought four pounds of coffee.
2 (b) The area of a rectangular window is 6272 cm cm? If the length of the window is 98 cm, what is its width?
Answer:
The width would be 64 cm
Step-by-step explanation:
Because the equation to find area is length times height
Since you have the area and the length, divide the area by the length to find the width
I hope this helps!
Please I need a lot of help
Answer:
that's a computer I'm sorry di ko po Alam
Step-by-step explanation:
ty sa points
what is the volume of this now I don't really get it
Answer:
12
Step-by-step explanation:
Answer:
24 cubic units
Step-by-step explanation:
Count the front layer by fours because there are 3 rows of 4 and 3 rows of 4 on the other side.So count by 4's on the front layer then the back layer.
I can't manage. Can you help? Ty :)
first question is true and second question is 6cm
If the total profit per month is Rs 200,000 and the revenue per month can be obtained as twice
the cost per month minus 50,000, find the revenue and cost per month.
Answer:
200000×2
=R400 000 and minus 50000
=300000
The hypotenuse of a right triangle measures 7 cm and one of its legs measures 2 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth
solve the following
Step-by-step explanation:
1.
so 90 km on 17 liters.
that is a 90/17 ratio (or proportion).
that means it runs 90/17 km on 1 liter.
and therefore (90/17)×20 on 20 liters.
90×20/17 = 105.8823529... km
2.
the ratio is 66/22 based on the RPMs.
66/22 = 3/1 = 3
so, the larger gear has then 3×6 = 18 teeth.
3.
the ratio is 150/75 based on the RPMs.
the circumference of a circle is
2×pi×r
so, it is a linear relationship with the radius r (and therefore the diameter d).
so, the diameter of the larger pulley is 2×10 = 20 in
4.
the ratio here is 18/6.
18/6 = 3/1 = 3.
again, this relates to the circumference, which is a linear relationship with the radius or diameter.
the smaller gear has then 72/3 = 24 teeth.
5.
the ratio is 2/3.
so, the larger pulley has 3450×2/3 RPM.
= 2,300 RPM
6.
2.5 kg cost 110.
that is a 2.5/110 ratio :
and that means we get 2.5/110 kg for one unit of money.
and therefore we get 80 × 2.5/110 kg for 80 units of money.
80 × 2.5/110 = 8 × 2.5/11 = 20/11 = 1.818181818... kg
The flower shop makes bouquets with ten flowers in each bouquet.
The florist said she can't make any bouquets because she has 207 flowers and there is a 0 in the tens place of 207!
Do you agree or disagree with the florist? Explain why in a full sentence below.
simplify the expression m^-6n^-3/m^-13n^-1
A)m^7n^2
B)n^-9/n^-14
C)m^3n^12
D)m^7/n^2
[tex]\dfrac{m^{-6} \cdot n^{-3}}{m^{-13} \cdot n^{-1}}\\\\=m^{-6-(-13)} \cdot n^{-3-(-1)}\\\\=m^{-6+13} \cdot n^{-3+1}\\\\=m^7 \cdot n^{-2}\\\\=\dfrac{m^7}{n^2}[/tex]
Brainliest and 100 points! I need this answer ASAP.
What is the equation of the graphed function?
Enter your answer in the box.
f(x)=______________
Answer:
f(x) = x² - 4x + 2 or f(x) = (x - 2)²
Step-by-step explanation:
The parabola touches the x-axis at only one pointIf we use y = a(x − h)² + k, we can see from the graph that h = 2 and k = 0This gives us y = a(x − 2)²What is the value of "a"?
We also see that the y-intercept is (0, 4)We can plug it into the equation4 = a(0 - 2)²4a = 4a = 1So, our quadratic equation will be :
y = 1(x - 2)²y = x² - 4x + 2 or y = (x - 2)²Answer:
f(x)=(x-2)^2
Step-by-step explanation:
They deleted my first answer, the one you marked brainliest :/
Promise this is correct, but i don't know how to explain it. The person above me did it wonderfully though. Hope this helped <3, Have a great day!
Simplify the expression 20+6k-14+k WILL MARK BRAINLIEST
Answer:
7k + 6
Steps:
Subtract the numbers 20+6k-14k+k
6+6k+k
Combine the terms:
6+6k+k
6+7k
Rearange terms:
6+7k
7k+6
absolute value of 19/24
Answer:
-19/-24 ?
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between −19 and 0 is 19 .
-24 has an absolute value of 24
Answer:
0.791666667 I hope this helped
Step-by-step explanation:
Express (x+9)^2 as a trinomial in standard form.
Answer:
x^2 + 18x + 81
Step-by-step explanation:
(x+9) (x+9)
then distributive property
[tex](x+9)^2\\\\=x^2 + 2\cdot 9 \cdot x + 9^2\\\\=x^2 +18x+81[/tex]
Jia is thinking of a number she gives
three clues about the number. the number is
even, the number is less than 12 and the absolute
value of the number is between 9 and is what
is Jia's number? Explain how
you know.
PLEASE HURRY What is the surface area of this right rectangular prism?
Enter your answer as a mixed number in simplest form
first off, let's change all the mixed fractions to improper fractions.
Check the picture below.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{left and right}}{2\left( \frac{4}{3}\cdot \frac{5}{2} \right)}~~ + ~~\stackrel{\textit{front and back}}{2\left( 3\cdot \frac{4}{3} \right)}~~ + ~~\stackrel{\textit{top and bottom}}{2\left( 3\cdot \frac{5}{2} \right)}} \\\\\\ \cfrac{20}{3}+8+15\implies \cfrac{89}{3}\implies 29\frac{2}{3}[/tex]