consider the diagram. lines ac and rs are
Answer:
Skew.
Step-by-step explanation:
Answer:
D- skew
Step-by-step explanation:
Just took the test today and got it right :)
what is the answer to 5/3x + 4 = 2/3x
Answer:
5/3x + 4 = 2/3x
Step One- Subtract 5/3x to isolate the variable
4 = -3/3x
Step Two- Divide –3/3 to make your equation easier
4 = -x
Step Three- Divide by -1 (the lone negative cannot be there. It always represents a –1)
-4 = x is your answer!
Hopefully this helped! Feel free to mark brainliest!
A standard working day is 8 hours, if you were to work 125% of a normal day, how many total hours would you work?
Answer:
10 hours
Step-by-step explanation:
It is given that,
Standard working day is 8 hours
If you were to work 125% of a normal day, then it means that,
[tex]125\%\ \text{of}\ 8\ \text{hours}\\\\=\dfrac{125}{100}\times 8\\\\=10\ \text{hours}[/tex]
Hence, you will work for 10 hours.
When the system is executed, the system crashes with probability 0.05 if only Module A fails. The system crashes with probability 0.12 if only Module B fails. The system crashes with probability 0.60 if both Module A and Module B fail. The system crashes with probability 0.01 if neither fails. (a) When the system is executed, what is the probability the system will crash
Answer:
P (system will crash) = 0.101528
P(A and B jails / System crash) = 0.5390
Step-by-step explanation:
The complete question is as stated below
"Suppose a system has two modules, A and B , that function independently. Module A fails with probability 0.24 and Module B fails with probability 0.38 ,when the system is executed. When the system is executed, the system crashes with probability 0.05 if only Module A fails. The system crashes with probability 0.12 if only Module B fails. The system crashes with probability 0.60 if both Module A and Module B fail. The system crashes with probability 0.01 if neither fails.
(a) When the system is executed, what is the probability the system will crash?
(b) If the system crashes, what is the probability that both modules A and B crashed?"
Solution
P(A fails) = 0.24
P(B fails) = 0.38
P(A ∩ B) = P (A) * P (B) = 0.24 * 0.38 = 0.0912
P(only A fails) = P(A) - P(A ∩ B) =0.24 - 0.24*0.38 = 0.1488
P(only A fails) =P(B) - P(B ∩ A) = 0.38 - 0.24*0.38 = 0.2888
P(Both fails) = P(A) * P(B) = 0.24*0.38 = 0.0912
P(Neither fails) = P(A) * P(B) =1-(0.24+0.38-0.0912) = 0.4712
P(Add to 1)
a) P (system will crash) = 0.1488*0.05+0.2888*0.12+0.0912*0.6+0.4712*0.01 P (system will crash) = 0.101528
b) P(A and B jails / System crash) = 0.0912*0.6 / 0.101528
P(A and B jails / System crash) = 0.5390
8(3-z)=4z please help
Answer:
z = 2
Step-by-step explanation:
Answer:
z=2
Step-by-step explanation:
8(3-z)=4z
multiply 8 by 3 and 8 by -z
24-8z=4z
subtract 24 from both sides
-8z=4z-24
subtract 4z from both sides
-12z=-24
divide both sides by -12
z=2
1+1 lol dats da question
Answer:
yellow?
Step-by-step explanation:
so you have 1 then add another an get yellow, bam im a genius
Answer:
i think you have to first find the first 50 numbers of pi then x that my 96,1000 then you should turn on then off the works to but if you have a switch it wont work so after that you have to tell who ever you live with that they need to keep talking and never stop being them and that they are nice person then you get the answer
Step-by-step explanation:
this only works if you are cool enough
Find the missing angle
measures marked with
question marks.
Answer:
First one- The ? across from 70 degrees is 70 degrees, and the ones on the side are both 110 degrees.
The second one- The one across 53 degrees is 53 degrees and the ones are the side are both 127 degrees.
Step-by-step explanation:
Take the shown angle and subract that by 180 degrees to get your answer for the missing angles. And the one across from the shown angle is the same number.
Hope this helped im not sure if its right though.
If C is the part of the circle (x/5)^2 + (y/5)^2 = 1 in the first quadrant, find the following line integral with respect to arc length. integral_c (8x - 3y)ds = _______.
Convert to polar coordinates, in which the circle's equation becomes
[tex]\left(\dfrac x5\right)^2+\left(\dfrac y5\right)^2=1\implies x^2+y^2=5^2\implies r^2=5^2\implies r=5[/tex]
where [tex]x=5\cos\theta[/tex] and [tex]y=5\sin\theta[/tex], and we get the part of the circle in the first quadrant with [tex]0\le \theta\le\frac\pi2[/tex].
So the integral is
[tex]\displaystyle\int_C(8x-3y)\,\mathrm ds=\int_0^{\frac\pi2}(8x(\theta)-3y(\theta))\sqrt{\left(\dfrac{\mathrm dx}{\mathrm d\theta}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm d\theta}\right)^2}\,\mathrm d\theta[/tex]
[tex]=\displaystyle\int_0^{\frac\pi2}(40\cos\theta-15\sin\theta)\sqrt{25\cos^2\theta+25\sin^2\theta}\,\mathrm d\theta[/tex]
[tex]=\displaystyle25\int_0^{\frac\pi2}(8\cos\theta-3\sin\theta)\,\mathrm d\theta[/tex]
[tex]=25(8\sin\theta+3\cos\theta)\bigg|_0^{\frac\pi2}=200-75=\boxed{125}[/tex]
Line integral involves integrating a function along a curve
The value of the line integral is 125
The equation is given as:
[tex]\mathbf{(\frac{x}{5})^2 + (\frac{y}{5})^2 = 1}[/tex]
Expand
[tex]\mathbf{\frac{x^2}{5^2} + \frac{y^2}{5^2} = 1}[/tex]
Multiply through by 5^2
[tex]\mathbf{x^2 + y^2 = 5^2}[/tex]
The equation of a circle is represented as:
[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]
So, by comparison
[tex]\mathbf{r^2 = 5^2}[/tex]
[tex]\mathbf{r = 5}[/tex]
Where:
[tex]\mathbf{x = rcos\theta}[/tex]
[tex]\mathbf{y = rsin\theta}[/tex]
So, we have:
[tex]\mathbf{\int_c (8x - 3y)ds}[/tex]
Because it is in the first quadrant (i.e. 0 to pi/2), the integrand becomes
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_0 (8x - 3y)rd\theta}[/tex]
Convert to polar forms
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_0 (8x - 3y)\sqrt{x^2 + y^2}d\theta}[/tex]
Substitute [tex]\mathbf{x = rcos\theta}[/tex] and [tex]\mathbf{y = rsin\theta}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c (8rcos(\theta) - 3rsin(\theta))\sqrt{(rcos(\theta))^2 + ( rsin(\theta))^2}d\theta}[/tex]
Substitute 5 for r
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c (40cos(\theta) - 15sin(\theta))\sqrt{25cos^2\theta + 25sin^2\theta}\ d\theta}[/tex]
Factor out 5
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))\sqrt{25cos^2\theta + 25sin^2\theta}\ d\theta}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))\sqrt{25(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))5\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 25(8cos(\theta) - 3sin(\theta))\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_c (8cos(\theta) - 3sin(\theta))\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]
In trigonometry
[tex]\mathbf{cos^2\theta + sin^2\theta = 1}[/tex]
So, we have:
[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_c (8cos(\theta) - 3sin(\theta))\sqrt{1}\ d\theta}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_0 (8cos(\theta) - 3sin(\theta))\ d\theta}[/tex]
Integrate
[tex]\mathbf{\int_c (8x - 3y)ds =25 \times [ (8sin(\theta) + 3cos(\theta))\ } ]|\limits^{\frac{\pi}{2}}_0}[/tex]
Expand
[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8sin(\frac{\pi}{2}) + 3cos(\frac{\pi}{2})] - ([ (8sin(0) + 3cos(0)])}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8\times 1 + 3\times 0)] - ([ (8\times 0 + 3\times 1])}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8] - [ 3])}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds =25 \times 5}[/tex]
[tex]\mathbf{\int_c (8x - 3y)ds =125}[/tex]
Hence, the value of the line integral is 125
Read more about line integrals at:
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Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound.
How can you use this info to assess the possible cost of the service project? If the Senior Class collects 235 pounds of trash, what is the cost
going to be?
Answer:
$17,640
Step-by-step explanation:
Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound. If the Senior Class collects 235 pounds of trash, the cost is going to be $17,640.
235 ⋅ 75 = 17,625
17,625 + 15 = 17,640
Therefore, the answer is $17,640.
Write three DIFFERENT properties that are equivalent to 3 4
Answer:
6/8
9/12
12/16
Step-by-step explanation:
Which equation represents the data shown in the table below?
x
y
2
5
moll
6
7.
5
8
O A. y = 2x
B. y = x + 3
O C. y = 3x
D. y = x + 1
Answer:
the answer will be y=2x
Step-by-step explanation:
HELP HELP I NEED HELP PLEASE
Answer: 76 degrees
Step-by-step explanation:
m<abc = m<1 + m<2
4x+12=(2x-7)+(3x-4)
x=23
180=4x+12+m<3
m<3=76
Who can help me :(??
Answer:
3rd option
Step-by-step explanation:
7.6, 7.42, square 48, 79%=0.79
Answer:
C
Step-by-step explanation:
To make this easier, simplify all values to rational numbers (simplify from percentages and roots):
79% → 79÷100 → 0.79
√48 ≈ 6.9
Now order from greatest to least (descending):
[tex]7.6,7.42,6.9,0.79[/tex]
Re-insert the given values before simplification:
7.6, 7.42, √48, 79%
The correct answer is option C.
:Done
9. If LK MK, LK = 7x - 10, KN = x + 3, MN = 9x - 1), and KJ = 28, find L.
Answer:LJ = 18 + 28 = 46
Step-by-step explanation:
Suppose J, K, L, M, N are points on the same line.
MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14
Since LK = MK and LK = 7x - 10, then
7x - 10 = 8x - 14
8x - 7x = -10 + 14
x = 4
LJ = MK + KJ
MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18
LJ = 18 + 28 = 46
The expression 15n + 2(3p) represents the amount Isaiah spent buying gasoline and snacks, where n represents the price of each gallon of gasoline and p represents the cost of each snack that he bought. Which statement is true about the amount Isaiah spent?
He spent 6p dollars on gasoline.
He spent n + p dollars in all.
He bought 15 gallons of gasoline.
He bought 6 dollars worth of snacks.
Answer:
He bought 15 gallons of gasoline.
Step-by-step explanation:
In the expression [tex]15n+2(3p)[/tex]
[tex]n=[/tex] price of each gallon of gasoline
[tex]p=[/tex] cost of each snack bought
We can go ahead and distribute.
[tex]15n+6p[/tex]
The [tex]6p[/tex] means he bought 6 snacks. The [tex]15n[/tex] means he bought 15 gallons of gasoline.
Answer:
c
Step-by-step explanation:
Identify the segment bisector of AB¯¯¯¯¯¯¯¯. Then find AB.
Answer:
is there more to the question? this does not make seince
Step-by-step explanation:
You are going to buy some folders to file
your orders. After doing research, you find
that the most cost-effective price is $7.40
per
box of 100 folders. You have $15 to
spend. How many 100 count boxes can
you buy?
PART 1
A.5x=3x
B.5=3
1) How can we get Equation B from Equation A?
Choose 1 answer:
A) Add/subtract the same quantity to/from both sides
B)Add/subtract a quantity to/from only one side
C)Multiply/divide both sides by the same non-zero constant
D)Multiply divide both sides by the same variable expression
PART 2
Based on the previous answer, are the equations equivalent? In others words , do they have the same solution?
choose 1 answer:
A) yes
B) No
Answer:
не знаю Не до х#я не знаю
Find two consecutive whole numbers that 141 lies between
Answer:
140 and 142?
Step-by-step explanation:
Which operation should you perform last in the expression 3^2 + 2?
Answer:
8
Step-by-step explanation:
Polly bought a cracker for $7 and then bought a parrot for $2. By how much did Polly's account change after her transactions?
Answer:
[tex]Changes = -\$9[/tex]
Step-by-step explanation:
Given
[tex]Cracker = \$7[/tex]
[tex]Parrot = \$2[/tex]
Required
Determine the changes in the account
First, we need to determine the total amount spent;
[tex]Total = Cracker + Parrot[/tex]
[tex]Total = \$7 + \$2[/tex]
[tex]Total = \$9[/tex]
Hence, the changes in her account is a debit of $9 i.e. -$9
Solve the following inequality:
4x^2-25<0
I will give the person who answers this correctly brainiest.
Answer:
−2.5<x<2.5
Step-by-step explanation:
Let's find the critical points of the inequality.
4x2−25=0
4x2−25+25=0+25(Add 25 to both sides)
4x2=25
4x24=25/4(Divide both sides by 4)
x2=25/4
x=±√254(Take square root)
x=2.5,−2.5
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x<−2.5(Doesn't work in original inequality)
−2.5<x<2.5(Works in original inequality)
x>2.5(Doesn't work in original inequality)
[tex]\frac{(2xy^2)^5}{(4x^2y)^2 (xy^2)}[/tex]
Please solve this and also mention the steps
Answer:
2 y^6
Step-by-step explanation:
Simplify the following:
(2 x y^2)^5/((4 x^2 y)^2 x y^2)
Hint: | Distribute exponents over products in (4 x^2 y)^2.
Multiply each exponent in 4 x^2 y by 2:
(2 x y^2)^5/(4^2 x^(2×2) y^2 x y^2)
Hint: | Multiply 2 and 2 together.
2×2 = 4:
(2 x y^2)^5/(4^2 x^4 y^2 x y^2)
Hint: | Evaluate 4^2.
4^2 = 16:
(2 x y^2)^5/(16 x^4 y^2 x y^2)
Hint: | Distribute exponents over products in (2 x y^2)^5.
Multiply each exponent in 2 x y^2 by 5:
(2^5 x^5 y^(5×2))/(16 x^4 y^2 x y^2)
Hint: | Multiply 5 and 2 together.
5×2 = 10:
(2^5 x^5 y^10)/(16 x^4 y^2 x y^2)
Hint: | Compute 2^5 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.
2^5 = 2×2^4 = 2 (2^2)^2:
(2 (2^2)^2 x^5 y^10)/(16 x^4 y^2 x y^2)
Hint: | Evaluate 2^2.
2^2 = 4:
(2×4^2 x^5 y^10)/(16 x^4 y^2 x y^2)
Hint: | Evaluate 4^2.
4^2 = 16:
(2×16 x^5 y^10)/(16 x^4 y^2 x y^2)
Hint: | Multiply 2 and 16 together.
2×16 = 32:
(32 x^5 y^10)/(16 x^4 y^2 x y^2)
Hint: | In (32 x^5 y^10)/(16 x^4 y^2 x y^2), divide 32 in the numerator by 16 in the denominator.
32/16 = (16×2)/16 = 2:
(2 x^5 y^10)/(x^4 y^2 x y^2)
Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (2 x^5 y^10)/(x^4 y^2 x y^2).
Combine powers. (2 x^5 y^10)/(x^4 y^2 x y^2) = 2 x^(5 - 1 - 4) y^(10 - 2 - 2):
2 x^(5 - 1 - 4) y^(10 - 2 - 2)
Hint: | Evaluate 5 - 1 - 4.
5 - 1 - 4 = 0:
2 x^0 y^(10 - 2 - 2)
Hint: | Evaluate 10 - 2 - 2.
10 - 2 - 2 = 6:
2 x^0 y^6
Hint: | Any nonzero expression to the zero power is one.
x^0 = 1:
2×1 y^6
Hint: | Simplify the expression.
Write 2×1 y^6 as 2 y^6:
Answer: 2 y^6
A car travel 300 miles on 10 gallons of gas,whats the ratio
Answer:
30/1
Step-by-step explanation:
300 miles per 10 gallons or 300/10.
simplify by dividing both numbers by the greatest common denominator. which in this case is 10. so divide 300 and 10 by ten and you get 30/1. it can't be simplified any more so thats the final simplified ratio.
electricity in a dash power station
Answer:
Most of U.S. electricity generation is from electric power plants that use a turbine or similar machine to drive electricity generators. A turbine converts the potential and kinetic energy of a moving fluid (liquid or gas) to mechanical energy.
Step-by-step explanation:
pls mark brainliest
Answer:
most power stations make use of turbines which drives power generators. A turbine converts potential and kinetic of moving fluid to mechanical energy.
Show work for f(4) = 3x + 2
The solution of the given function will be F(4)=14
Since we know that Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, it is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable . In physical sciences, functions are indispensable for formulating physical relationships.
We have been given a function as;
F(x)=3x+2
F(4)=3x+2
WE have to substitute the value of x as 4 then we get;
F(4)=3(4)+2
F(4)=14
Therefore, the value of the given function will be as 14.
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Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded.
Maximize p=x+ysubject to
x+3y≤4
3x+y≤4
x≤0
y≤0
Answer:
P = 4
Step-by-step explanation:
The LP is:
Maximize p = x+y
x+3y≤4
3x+y≤4
x ≥ 0
y ≥ 0
Solving graphically using the geogebra graphing calculator which is attached, the points are A(0, 4), B(0, 1.33), C(1.33, 0), D(4, 0) and E(1, 1)
The maximum objective is:
For point A(0, 4): Maximize p = x + y = 0 + 4 = 4
For point B(0, 1.33): Maximize p = x + y = 0 + 1.33 = 1.33
For point C(1.33, 0): Maximize p = x + y = 1.33 + 0 = 1.33
For point D(4, 0): Maximize p = x + y = 4 + 0 = 4
For point E(1, 1): Maximize p = x + y = 1 + 1 = 2
Hence, the maximum point is at A(0, 4) which gives P = 4
State whether the given pairs are complementary or supplementary
1) 75 °, 105 °
2) 62 ° , 28 °
3) 132 ° , 48 °
4) 76 ° , 14 °
5) 118 ° , 62 °
6) 19 ° , 71 °
A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his sample mean is 177.5 cm and the sample standard deviation is 2. The sample size is 25. Which statement is correct?
a) The result of the survey is statistically significant.
b) The sample mean and population mean is the same.
c) The result of the survey is biased.
d) The difference exists due to chance since the test statistic is small
Answer:
d) The difference exists due to chance since the test statistic is small
Step-by-step explanation:
From the given information:
Population mean = 178 cm
the sample mean = 177.5 cm
the standard deviation = 2
the sample size = 25
The null hypothesis and the alternative hypothesis can be computed as:
Null hypothesis:
[tex]H_o: \mu = 178[/tex]
Alternative hypothesis:
[tex]H_1: \mu \neq 178[/tex]
The t-test statistics is determined by using the formula:
[tex]t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}[/tex]
[tex]t = \dfrac{-0.5}{\dfrac{2}{5}}}[/tex]
[tex]\mathbf{t= -1.25}[/tex]
Degree of freedom df = n- 1
Degree of freedom df = 25 - 1
Degree of freedom df = 24
At the level of significance ∝ = 0.05, the critical value = 2.064
Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance
Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small
Answer:
d. The difference exists due to chance since the test statistic is small
Step-by-step explanation:
With a very small sample size of 25, a difference of 0.5 cm is most likely due to chance.
The perimeter of a rectangle is 92 cm. If the length is 16 cm, how wide is the rectangle?
Answer:
30cm
Step-by-step explanation:
2w+2L=Perimeter of rectangle
2w+2*16=92
2w+32=92
2w=92-32
2w=60
w=30
check : 16 +16 +30 +30 =92cm