Answer:
Therefore, the total Resistance: R = 93.9 Ω
Step-by-step explanation:
Given
R₁ = 1 × 10²
R₂ = 2.5 kΩ = 2.5 × 10³ Ω
R₃ = 4 kΩ = 4 × 10³ Ω
Given that the given resisters are connected parallel, so using the formula to calculate the total Resistance R:
[tex]\frac{1}{R}\:=\:\frac{1}{R_1}\:+\:\frac{1}{R_2}+\frac{1}{R_3}[/tex]
susbtituting R₁ = 1 × 10², R₂ = 2.5 × 10³ Ω, and R₃ = 4 × 10³ Ω
[tex]\frac{1}{R}=\frac{1}{1\times \:10^2}+\frac{1}{2.5\times \:10^3}+\frac{1}{4\times \:10^3}[/tex]
Multiply by LCM of R, 100, 2500, and 4000: 20000 R
[tex]\frac{1}{R}\cdot \:20000R=\frac{1}{1\cdot \:10^2}\cdot \:20000R+\frac{1}{2.5\cdot \:10^3}\cdot \:20000R+\frac{1}{4\cdot \:10^3}\cdot \:20000R[/tex]
simplify
[tex]20000=213R[/tex]
Switch sides
[tex]213R=20000[/tex]
Divide both sides by 213
[tex]\frac{213R}{213}=\frac{20000}{213}[/tex]
Simplify
[tex]R=\frac{20000}{213}[/tex]
[tex]R = 93.9[/tex] Ω
Therefore, the total Resistance: R = 93.9 Ω
Find the Prime Factorization of 120.
A. 2x 32 x 5
B. 23 x 3 x 5
C. 4x6x5
D. 8 x3 x 5
Answer:
option (c)
Step-by-step explanation:
4*6*5
please mark as brainliest
Solve this equation: 8(3x – 6) = 6(4x + 8)
Answer:
안녕하세요 멍청한 새끼들. 시험하고 빨리 답이 필요해 .. 네 개년들 고마워
The expression 42+57 shows how much money Nate spent at a store. Which expression also shows how much
money Nate spent?
Answer:
The first one
Step-by-step explanation:
42+57=99
The only answer that is equal to 99 is the first one. 3(14+19) = 3(33) = 99
Answer:
66+33
Step-by-step explanation:
42+57= 99
__________
My expression
66+33= 99
Hopefully that helps you out.
Sonya walks on a treadmill at a constant rate of 3.5 miles per hour. A graph showing the relationship between the time she walks and the distance she travels passes through the origin and the point (1, 3.5) Name three other points that lie on the graph of the line.
Answer:
7, 10.5, 14
because you have to keep adding 3.5 like from 3.5 you add another 3.5 to get the 7.
8 + __ = 4(2+4) I need help on this also can you explain it to me so I know next time
Answer:
16.
Step-by-step explanation:
We need 8 + a number to equal 24. We need it to equal 24 because 2 + 4 = 6 and 6 x 4 = 24. To find the missing number we need to subtract 8 from 24. 24 - 8 = 16. Let's plug 16 into the equation.
8 + 16 = 4(2 + 4)
24 = 4(2 + 4)
24 = 4(6)
24 = 24
Therefore, 16 is the correct answer.
Select the correct product
(x2+4) (x2-4)
x4 16
x4+16
x2+8x+16
x2 8x 16
Answer:The answer would be x^4 -16
Explanation: use the FOIL method.
(x^2 +4)(x^2 -4)= x^4 +4x -4x -16. 4x and -4x cancel each other out. You are left with x^4 -16.
F- irst
O- uter
I- nner
L- ast
Step-by-step explanation:Hope this helps
(m - 5) = 4 where m=17
Answer:
If m = 17 then the equation would be 12 = 4 which is not true
So this whole equation is false
Step-by-step explanation:
can someone help please!
Answer:
1. B. <1 and <2
2. C. 37°
3. B. 40°
Step-by-step explanation:
1. Complementary angles add up to 90°.
From the diagram given, <1 and <2 are complementary because they sum up to 90°.
The answer is B. <1 and <2
2. Given that,
m<1 = 37°, m<4 = 37° also.
This is because m<1 and m<4 are Vertical angles. Vertical angles pair are equal.
The answer is: C. 37°
3. If m<1 = 50°, then:
m<5 = 90 - m<4
m<1 = m<4 = 50° (vertical angles)
m<5 = 90 - 50 (substitution)
m<5 = 40°
Answer is B. 40°
A store has 7 red shirts, 15 black shirts, 13 white shirts, and 5 green shirts. Select the portion of the shirts that are black.
Answer:
g
Step-by-step explanation:
Find the zeroes of the function g(x).
g(x) = (x - 8)(x + 7)
Write your answer as a list of values separated by commas,
Answer:
-15
Step-by-step explanation:
=(x - 8)(x + 7)
=x2-15x-56
= (0)2 - 15(0) -15
= -15
1 2 3
5
6
7
The scale in the drawing is 4 cm:5 m. Drag and drop the correct numbers into the boxes to glve the
length, width, and area of the actual room.
16 cm
8 cm
The length is
meters, the width is
meters, and the area is
square meters.
8
16
200
20
10
128
How do I get the answer?
Answer:
Step-by-step explanation:
im so unfused what subject if yall ask a question putt the subject
You are building a door frame. The two sides are parallel and the top and bottom are also parallel. Which additional statement does not give enough information to conclude that the door frame forms a rectangle?
Answer:
"The diagonals of the door frame are congruent."
Step-by-step explanation:
The statement that would not give enough information would be "The diagonals of the door frame are congruent." This is because a rectangle does have congruent diagonals but a rhomboid also has congruent angles and has opposing parallel sides. Therefore, this statement does not give sufficient information to prove that the object in question is a rectangle. We would need more information such as the length of the sides or the degree of the angles.
what is 6/10 equivalent to
Answer:
3/5
Step-by-step explanation:
If you cut 6 in half you get 3. If you cut 10 in half you get 5. Equaling 3/5.
I hope this helps!
Answer:
3/5
or 0.6
Step-by-step explanation:
depends on what you mean equals let me know if this answers your question
The diagram below show the dimensions of a container of sand that is shaped like a rectangular prism . The container is filled up to 1/2 foot from the its top . What is the volume of the sand in the container?
Answer:
Its B
Step-by-step explanation:
Answer:
the anwser is b
Step-by-step explanation:
1. AB = 32
BE = 6x + 8
Answer:
x = 4
Step-by-step explanation:
6x + 8 = 32
6x = 32 ‐ 8
6x = 24
x = 24/6
x = 4
Find the size of angle XYZ give your answer to 1 decimal place plssss hellllpppp
Answer:
hey mate here's your answer
Step-by-step explanation:
(hypothenuse)²=(base)²+(perpendicular)²
15²=6²+P²
322=36+p²
322-36=p²
286=p²
√286=p
16.91=p
hope it helps you
plz mark me as brainiest
Please help I'm so confused
Answer:
(-2, -4), (-1, -1), (0, 0), (1, -1), (2, -4)
Step-by-step explanation:
You plug in x values to get the y values are dot-in the points!
y = -x^2
You plug in -2 and get -(2)^2 = -(4) = -4
Same thing with all other values.
Find the determinant of the following matrix. A =
-2 6
3 5
Answer:
[tex]|A| = - 28[/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right][/tex]
Required
Determine the determinant
For a two by two matrix, A such that:
[tex]A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]
The determinant |A| is:
[tex]|A| = a * d - b * c[/tex]
So, in
[tex]A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right][/tex]
The determinant is:
[tex]|A| = -2 * 5 - 6 * 3[/tex]
[tex]|A| = -10 - 18[/tex]
[tex]|A| = - 28[/tex]
Suppose that U is an infinite universal set, and A and B are infinite subsets of U . Answer the following questions with a brief explanation. Must A c be finite? Must A ∪ B be infinite? Must A ∩ B be infinite?
Answer:
A c must not be finite.
A ∪ B must be infinite.
A ∩ B must not be infinite.
Step-by-step explanation:
Must A c be finite?
Suppose
U = {....-4,-3,-2,-1,0,1,2,3,4.......}
A = {....-4,-2,0,2,4.......} which is infinite set
B = {....-3,-1,0,1,3.......} which is also infinite set
So We need to calculate the A compliment
[tex]A^{c}[/tex] = U - A = {....-4,-3,-2,-1,0,1,2,3,4.......} - {....-4,-2,0,2,4.......} = {....-3,-1,0,1,3.......}
Hence [tex]A^{c}[/tex] is also an infinite set.
The statement "Must A c be finite?" is incorrect.
Must A ∪ B be infinite?
In AUB all the elements of set A and set B are combined into a single set to get the union of A and B. If A and B are the infinite set then their union must also be an infinite set because all the elements of infinite sets will be there so the union of these infinite sets will also be an infinite set.
The Statement "Must A ∪ B be infinite?" is correct.
Must A ∩ B be infinite?
In A∩B the common elements of both sets will be the answer to the intersection of A and B set. If we consider the A and B are the infinite subsets of a Universal set that carry all the elements then there will not be any common element in both sets A and B.
The Answer of A∩B is { } or empty set.
The statement "Must A ∩ B be infinite? " is incorrect.
Factor out the GCF of 18x3y4+24x2y5
(A) 6x3y5(7)
(B) 6(3x3y4+4x2y5)
(C) 6x2y4(3x+4y)
(D) 42x5y9
Answer:
c
Step-by-step explanation:
18x³y⁴ = 2 * 3 * 3 * x³ * y⁴
24x²y⁵ = 2 * 2 * 2 * 3 * x² * y⁵
GCF = 2 * 3 * x² * y⁴ = 6x²y⁴
18x³y⁴ + 24x²y⁵ = 6x²y⁴(3x + 4y)
Suppose that two electronic components in the guidance system for a missile operate independently and that each has a length of life governed by the exponential distribution with mean 3 (with measurements in hundreds of hours). Find the probability density function for the average length of life of the two components.
Answer:
attached below
Step-by-step explanation:
Assuming that Y1 and Y2 are independent exponential random variable with mean 3
where : U = Y1 + Y2 applying the property of exponential distribution sum of exponentials will follow a gamma distribution
i.e. ∝ = 2 , and β = 1
note : U = 2X
Hence probability distribution function X =
Fx (x) = p( X ≤ x )
= p( U ≤ 2x )
= Fu (2x)
probability density function X
f (x) = [tex]\frac{dF(2x)}{dx}[/tex] = 2 Fu (2x)
attached below is the remaining part of the solution
In this exercise we have to use probability knowledge to calculate the density of the function, so we have to:
[tex]f(u) \left \{ {{ue^u: u>0} \atop {0}} \right.[/tex]
[tex]f(x) \left \{ {{4xe^{-2x}: x>0} \atop {0}} \right.[/tex]
Assuming that [tex]Y_1[/tex] and [tex]Y_2[/tex] are independent exponential random variable where:
[tex]U = Y_1 + Y_2[/tex]
Applying the property of exponential distribution sum of exponentials will follow a gamma distribution, we have:
[tex]\alpha = 2[/tex][tex]\beta = 1[/tex] [tex]U = 2X[/tex]
Hence probability distribution function X , will be:
[tex]F_x (x) = p( X \leq x )\\= p( U \leq 2x )\\= F_u (2x)[/tex]
So we can say that:
[tex]f (x) = \frac{dF}{du} = 2 F_u (2x)[/tex]
See more about probability at brainly.com/question/795909
Please help me i don't understand
Answer:
-49 degrees Fahrenheit sorrry don’t have time gtg
Step-by-step explanation:
Which two points have an undefined slope?
Answer:is there a pic
Step-by-step explanation:
More info?
An infant weighs 22kg . How many pounds does the child weigh? ANSWER IS NOT 48.5LBS .
Answer:
Hey, do you know how to screenshot images? There is also a website for Brainly if needed
Step-by-step explanation:
Compute the sample variance for the following scores: 25, 36, 41, 28, 29, 32, 39, 37, 34, 34, 37, 35, 30, 36, 31, 31
Answer:
Step-by-step explanation:
From the given information:
The mean [tex]\hat x = \dfrac{\sum x}{n}[/tex]
[tex]\hat x = \dfrac{25+36+41+28+29+32+29+37+34+34+37+35+30+36+31+31}{16}[/tex]
[tex]\overline{x} = \dfrac{535}{16}[/tex]
[tex]\overline{x} = 33.44[/tex]
The sample variance is as follows:
[tex]S^2 = \dfrac{\sum dx^2 - ( \dfrac{\sum dx)^2}{n} )}{n-1}[/tex]
[tex]S^2 = \dfrac{279- ( \dfrac{7}{15} )^2}{15}[/tex]
[tex]S^2 = 18.585[/tex]
(3x-3) (2x-1)
ill pay u ill bid if u want
Answer: 6x^2 - 9x + 3
Step-by-step explanation:
first, i multiplied the parentheses.
3x x 2x - 3x - 3 x 2x - 3 x (-1)
then, i calculated/multiplied it.
6x^2 - 3x - 6x + 3
finally, i collected the like terms.
6x^2 - 9x + 3
Answer:
6x^2-9x+3
More solutions:
factored: 3(x-1)(2x-1)
sum-product pattern: 3(2x^2+2x+x+1)
common factor: 3(2x^2+3x+1)
You created a blog and after 2 weeks you get your first subscriber. The number of subscribers grows quickly, quadrupling each week afterwards.
Excited about your blog's popularity you wonder, how many subscribers will the blog have 12 weeks after you create it?
Answer:
1 x 4 x 12 = 48
Step-by-step explanation:
48 subs
The number of subscribers at 12 weeks is required.
Number of subscribers at 12 weeks would be 1048576.
a = Initial subscriber count at 2 weeks = 1
Week at which number of subscribers is required is 12.
x = Duration between the weeks = [tex]12-2=10[/tex]
r = Rate of increase = 4
The required formula is
[tex]f(x)=ar^x\\\Rightarrow f(10)=1(4)^{10}\\\Rightarrow f(10)=1048576[/tex]
Number of subscribers at 12 weeks would be 1048576.
Learn more:
https://brainly.com/question/16954106?referrer=searchResults
Help plz:)))I’ll mark u Brainliest
The distance from Adamsville to Hampton Mills is 24.1 km. Which statement is true about the
distance from Adamsville to Springfield
Answer:-
Option A
Step by step explanation :-
Distance between Springfield to Longmeadow is 3.8 km.
Adamsville to Springfield is 7.6 km.