In an optical fibre, the power drops by a factor of 10 approximately every 30 km. If the transmit power is 0. 35 W, how far will a signal be transmitted before the power is attenuated to 350 μW?
Answer:
30000 kmStep-by-step explanation:
First convert the transmit power into μW, considering 1 W = 1000000 μW:
0.35 W = 0.35*1000000 μW = 350000 μWFind how many factors of 10 the power dropped:
350000 / 350 = 1000Find the distance:
1000*30 km = 30000 kmHELP ASAP(FIRST ANSWER GETS BRAINLIST)!
Answer:
I would say B, but can't be sure because is part of the question cut off?
Step-by-step explanation:
Caroline is building a circular fence for her basil garden. She used 29.8 feet of fencing for the fence. What is the radius of the garden?
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Given :
Circumference = 29.8[tex] \\ [/tex]
To find:
[tex] \\ [/tex]
Radius of circle[tex] \\ [/tex]
Solution:-
[tex] \\ [/tex]
We know:-
[tex] \rm circumference = 2\pi r[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \looparrowright \sf circumference = 2\pi r[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf 29.8= 2\pi r[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf 29.8= 2 \times \dfrac{22}{7} \times r[/tex]
[tex] \\[/tex]
[tex] \looparrowright \sf \dfrac{298 \times7}{22 \times 2 \times 10} = r[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \dfrac{149 \times7}{22 \times 10} = r[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \dfrac{1043}{220} = r[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf r = 4.74[/tex]
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What are all the steps to solving a Quadratic Formula? (steps please)
Compose the quadratic condition in standard shape, ax2 + bx + c = 0. Recognize the values of a, b, c. Write the Quadratic Equation. At that point substitute within the values of a, b, c. Simplify. Check the arrangements.
Steven invests $20,000 in an account earning 3% interest, compounded annually for 10 years. Three years after Stevens's initial investment, Evan invests $10,000 in an account earning 7% interest, compounded annually for 7 years. Given that no additional deposits are made, compare the amount of interest earned after the interest period ends for each account. (round to the nearest dollar) A) Evan earned $820 more in interest in his account than Steven. B) Steven earned $820 more in interest in his account than Evan. C) Evan earned $1,249 more in interest in his account than Steven. D) Steven earned $1,249 more in interest in his account than Evan.
Steven earned $820 more in interest in his account than Evan.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter. The compound interest earned is given by the formula,
[tex]A_1 = P(1+\dfrac{r}{100})^n - P[/tex]
In order to compare the two of the given investment, we need to find the interest in each of the investments.
For the investment made by Steven of $20,000 at 3% interest compounded annually for 10 years. The interest that Steven made is,
[tex]A_1 = P(1+\dfrac{r}{100})^n - P\\\\\\A_1 = 20,00(1+0.03)^{10}-20,000\\\\\\A_1 = \$6,878.33[/tex]
For the investment made by Evan of $10,000 at 7% interest compounded annually for 7 years. The interest that Evan made is,
[tex]A_2 = P(1+\dfrac{r}{100})^n - P\\\\\\A_2 = 10,00(1+0.07)^{7}-10,000\\\\\\A_2 = \$6,057.82[/tex]
Now, if we find the difference in the interest earned by the two of the given person.
The difference in the interest earned
= Interest earned by Steven - Interest earned by Evan
= $6878.33 - $6,057.82
= $820.52 ≈ $820
Hence, Steven earned $820 more in interest in his account than Evan.
Learn more about Compound Interest:
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3x + 2y = 7
y=-3x + 11
O
(6, -7)
° (
19
4,
2
(6,-3)
o
(5, -4)
ASAP HELP! BRAINLIEST! can someone help me with this? i need work shown. will mark brainliest!
Answer:
4x^2 +12x +44 remainder 161x +84
Step-by-step explanation:
At each step, the quotient term is the ratio of the leading dividend term to the leading divisor term. The first quotient term, for example, is ...
(4x^4)/(x^2) = 4x^2
The quotient term found this way is multiplied by the divisor and subtracted from the dividend. The difference is the new dividend and the process repeats.
You're done when the degree of the dividend is less than the degree of the divisor. This remainder can be expressed as a fraction with the divisor as the denominator.
[tex]\dfrac{4x^4+5x-4}{x^2-3x-2}=4x^2+12x+44+\dfrac{161x+84}{x^2-3x-2}[/tex]
i do not know this answer
Answer:
The attachment is it
A welder is commissioned to make a gold metal cone from a cylindrical cone form, as shown. The height of the cylinder is 66 centimeters, and the diameter of the cylinder is 20 centimeters. The welder purchases tubs of material to fill up the shaded portion of the form to make the gold cone. The formula for the volume of a cone is V = 1 3 π r 2 h , while the formula for the volume of a cylinder is V = π r 2 h .
The shaded portion is equal to 13816cm^3
Data;
Height = 66cmd = 20cmVolume of a CylinderThe formula of volume of a cylinder is given as
[tex]v=\pi r^2 h[/tex]
Let's substitute the values and solve
[tex]v = \pi r^2 h\\\\r = d/2\\d = 20\\r = 20/2 = 10cm\\v = 3.14 * 10^2 * 66\\v = 20724cm^3[/tex]
Volume of a ConeThe volume of a cone is given as
[tex]v = 1/3 \pi r^2 h\\v = 1/3 * 3.14 * 10^2 * 66\\v = 6908cm^3[/tex]
The space remaining from creating the cone out of the cylinder is
[tex]20724 - 6908 = 13816cm^3[/tex]
The shaded portion is equal to 13816cm^3
Learn more on volume of cone and cylinder here;
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Determine if the equations are intersecting, parallel, or coincident.
bx - ay = 2
ax + by=3
-Intersecting
-Coincident
-Parallel
Answer:
Intersecting
Step-by-step explanation:
Adult racehorse weights are normally distributed, with a mean of 500 kg and a standard deviation of 33 kg. Approximately what percentage of the adult racehorses weigh more than 570 kg?
1.7%
98.3%
93.3%
0.12%
In a certain Algebra 2 class of 20 students, 8 of them play basketball and 7 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answer:
3/4
Step-by-step explanation:
add the students who play baceball and basketball together it will be your numerator
the total amount of students will be your denomanator
then simplify
by the way there can not be 23 students in a class that only has 20 kids so this answer may be wrong according to your wording
sorry
What angle does the minute hand of a clock spin through in 3 days?
Answer:
Step-by-step explanation:
Solution: The one full rotation of the minute hand on the clock represent one hour. So in 3 hours the minute hand will rotate 3 x 360 degrees or 1080 degrees or 6. 3 complete rotations with the minute hand at finish at the start of the three hours.
find the value of x please help
Answer:
x=52
Step-by-step explanation:
your triangle is 190 degrees so you take 107 away and get 83 then you subtract 31 and get 52
Find the area of the circle to the nearest tenth. Use 3.14 for π.
Answer:
37.7
Step-by-step explanation:
Area=cirumference.
to find circumference you will do 6*2 to get the diameter.
multiply that by 3.14
Answer:113m^2
Step-by-step explanation:
What is the solution set for the equation 8=x^2-2 x
Answer:
x=4,_2
Step-by-step explanation:
hope that help,good luck
Q17 Look at this shape, the circle exactly fits into the square. If the length of the
square is 4cm then find the circumference of the circle.
Answer:
25.13
Step-by-step explanation:
Formular
= C = 2πr
C = circumference
r = radius
2 × 3.14 × 4
= 25.13
x reduced by 5 is less than 12
Answer:
x < 17
Step-by-step explanation:
im guessing its simplify the equation.
just add 5 to both sides and positive 5 cancels out the subtract five.
twelve + five is 17.
18 divided by (9-12divided by 4. )
Answer:
24
Step-by-step explanation:
here's how I did it:
first, start in parentheses, following the order of operations, PEMDAS.
12 - 9 = 3
now, divide 3 by 4.
3 / 4 = 0.75 ( 3 quarters )
lastly, divide the sum of the numbers in the parentheses by 18.
18 / 0.75 = 24
12. Given two segments with lengths x and y (x not equal to y), what
special parallelograms meet the given conditions? Draw a sketch for
each scenario.
a. Both diagonals have length y and do not intersect at right angles.
b. One diagonal has length x, the other has length y. The diagonals intersect at right
angles.
Answer:
I'm pretty sure,
1. Is a Trapezoid
2. Is a Rhombus
Step-by-step explanation:
Look at a picture of them,
1. A trapezoid has equal length diagonals, but because of the outer legs? if you want to call them that, they're at an angle, same with its vertices, so, the angles at which they bisect are not right angles.
2. A Rhombus, has diagonals that are not the same length, one is longer than the other. Therefore, that solves the first part of the question. And when they bisect, they bisect at right angles because the side lengths of a Rhombus are congruent.
For Xin's lemonade recipe, 12 lemons are required to make 8 cups of lemonade. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
The computation of the ratio shows that 45 lemons are needed to make 30 cups of lemonade.
How to solve the ratio?From the complete information, it should be noted that 12 lemons are required to make 8 cups of lemonade.
Therefore, the ratio in this scenario is 12/8 = 3:2. Therefore, when there are 30 cups, the number of lemons needed will be:
= 30 × 3/2
= 45
In conclusion, 45 lemons are needed to make 30 cups of lemonade.
Learn more about ratio on:
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Bob has 28 bars. He gives 7 bars to 4 friends each. How many bars did each friend get?
Answer:
7
Step-by-step explanation:
It says "he gives 7 bars" to each of 4 friends.
Answer:
7
Step-by-step explanation:
28/4 = 7
Each friend gets 7 bars
Have an amazing day!
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Ms. Pena is grading math tests. If 212 x 51 = 10,812, is the student’s work below correct? Explain
2.12 x 5.1 = 1.0812
Find the volume of the pyramid.
Answer:
360 yd^3
Step-by-step explanation:
volume of hexagonal pyramid = √3/2 * s^2 * h
s = side
here side is not given. but base area is given
area of hexagon = 3√3/2 a^2
45 = 3√3/2 s^2
s^2 = 30√3 yd^2
volume = √3/2 * 30√3 *8
= 30 * 3 * 4= 360 yd^3
pls pls pls help me i need this fast
Answer:
20%
Step-by-step explanation:
(61200-51000)/51000×100
(102000/51000)×100
0.2×100=20%
Hope that helped! :)
How many data values are closer than one mean absolute devitation away from the mean? 34,37,48,32,25,34,35,23,33,30. HELP ME PLEASE
There are 60 students in a class. Out of the 60 students, there are 15 girls. Jill is the name of 5 of the girls.
What is the probability that a girl named Jill will be selected at random?
Mark all that apply.
A- 15/60
B- 1/12
C- 5/15
D- 5/60
E-1/3
Answer:
E or c
Step-by-step explanation:
The demometer is the maximum amount of the number of jills in the group so if 5 out of 15 in the group is named jill then turn it into a fraction like 5/15
But you could simplify by findin the similar factirs then dividing them by the equivalent amounts
A breakfast food company has decided to shrink the size of its cereal boxes by 5%
If the boxes currently hold 20 oz of cereal, how much less cereal will be contained in the new boxes?
Answer:
1oz
Step-by-step explanation:
5% as a decimal is .05
.05 x 20= 1
Find X:
tangent, cosine or sine?
Answer:
x ≈ 2.76
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan78° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{13}{x}[/tex] ( multiply both sides by x )
x × tan78° = 13 ( divide both sides by tan78° )
x = [tex]\frac{13}{tan78}[/tex] ≈ 2.76 ( to 2 dec. places )
best answer gets brainliest
Answer:
c and b hope it helps you in the long run
It will be c because when you do the equation they will give the answer a