Answer: [tex]\frac{pr}{675}[/tex]
Step-by-step explanation:
cant have a negative exponent[tex]\frac{1}{(3p^{-1} r)^3(5pr^{-2} )^2} \\[/tex] split up (3p^-1 r)^3rewrite that part of the equation[tex]\frac{1}{(\frac{3}{p} )^{3} r^{3} }[/tex] raise 3 to the power of 3 = 27p to the power of 3 = [tex]p^{3}[/tex] Next part of the equation [tex](5p)^{2}[/tex] expand that[tex]5^{2} p^{2}[/tex] simplfy[tex]25p^{2}[/tex] Next part of the equation [tex](r^{-2})^{2}[/tex] multiply the exponents[tex]r^{-4}[/tex] rewrite the equation [tex]\frac{1}{\frac{27}{p^{3} }r^{3} (25p^{2})\frac{1}{r^{4} } }[/tex] combine [tex]\frac{27}{p^{3} } , and , r^{3}[/tex] = [tex]\frac{27r^{3} }{p^{3} }[/tex]combine 25 and [tex]\frac{27r^{3} }{p^{3} }[/tex] Multiply [tex]\frac{675r^{3} }{p^{3} }[/tex] combine [tex]\frac{675r^{3} }{p^{3} }[/tex] and [tex]p^{2}[/tex] [tex]\frac{675r^{3}p^{2} }{p^{3} }[/tex] multiply [tex]\frac{675r^{3}p^{2} }{p^{3} }[/tex] and [tex]\frac{1}{r^{4} }[/tex] [tex]\frac{1}{\frac{675r^{3}p^{2} }{p^{3}r^{4} }}[/tex] cancel the common factors and factor everything out [tex]r^{3}[/tex] comes out of [tex]{675r^{3}p^{2} }[/tex] [tex]r^{3}[/tex] can also come out of [tex]p^{3} r^{4}[/tex] Rewrite as [tex]\frac{1}{\frac{675p^{2} }{p^{3} r} }[/tex] cancel the common factor of [tex]p^{2}[/tex] and [tex]p^{3}[/tex] factor [tex]p^{2}[/tex] out of [tex]675p^{2}[/tex] by mulitiplying factor [tex]p^{2}[/tex] out of [tex]{p^{3} r} }[/tex] cancel the common factorrewrite the expression [tex]\frac{1}{\frac{675}{pr} }[/tex] and then multiply the numerator and denominator and you get the answerProbability.
It has been estimated that about 30% of frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens.
Answer: 0.0386
Step-by-step explanation:
Given: The probability hat the frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked : p= 0.30
Sample size : n = 12
Let x = Number of contaminated chickens
Here , two outcomes for any chicken (either contaminated or not) , so it follows binomial distribution.
Binomial probability formula:
[tex]P(X=x) = \ ^nC_x p^x(1-p)^{n-x}[/tex]
The probability that the consumer will have more than 6 contaminated chickens :-
[tex]P(X>6)=P(X=7)+P(X=8)+P(X=9)+P(X=10)+P(X=11)+P(X=12)\\\\=^{12}C_6(0.3)^6(0.7)^6+^{12}C_7(0.3)^7(0.7)^5+^{12}C_8(0.3)^8(0.7)^4+^{12}C_9(0.3)^9(0.7)^3+^{12}C_{10}(0.3)^{10}(0.7)^2+^{12}C_{11}(0.3)^{11}(0.7)^1+^{12}C_0(0.3)^{12}(0.7)^0[/tex]
[tex]=0.03860084306\approx0.0386[/tex] (simplified)
Hence, the required probability = 0.0386
8/10 = w/15 what does w stand for
Answer:
Step-by-step explanation:
its just an unknown variable usually it is one
Consider the expression: 7+4(n 3)
1) Which math word would NOT be used to describe the given
expression?
A)
divisor
B)
difference
subtract
D) product
The half-life of carbon 14 is 5, 730 years. How much would be left of an original 50-
gram sample after 2, 292 years?
Given :
The half-life of carbon 14 is 5,730 years.
To Find :
How much would be left of an original 50- gram sample after 2, 292 years.
Solution :
We know, rate law for first order reaction is given by :
[tex][A] = [A_o]e^{-kt}[/tex] ...1)
Here, [tex]A_o[/tex] is initial amount and [tex]A[/tex] is final amount.
And [tex]k = \dfrac{ln\ 2}{t_{0.5}}[/tex]
Putting value of half time in above equation, we get :
[tex]k = \dfrac{ln\ 2}{5730}\\\\k = 1.21\times10^{-4} \ /s[/tex]
Putting value of k in equation 1) , we get :
[tex][A] = 50\times e^{-1.21\times 10^{-4}\times 2292} = 37.89\ gm\\\\[/tex]
Hence, this is the required solution.
Answer: i have zero clue lol
What is 6.5 divided by 2.6 Equivalent Expression
Answer:
650÷26 I think hope this help
HELP PlZ DUE in 30 MIN
m∠6 =
Answer:
Angle 6 is 47°
Step-by-step explanation:
HELP HELP HELP
{TRUE OR FALSE}
a rational fraction is not defined for the values of x that make the denominator zero
Answer:
ture
Step-by-step explanation:
anything that divide by 0 is not defined.
Write the equation of the line based on the graph below
Answer:
The answer is
[tex]y = 2x + 4[/tex]
Step-by-step explanation:
Remember ↷
[tex]Slope = \frac{rise}{run} [/tex]
Find the measure of the missing angle.
Answer:
23º = x
Step-by-step explanation:
One straight line is ALWAYS 180º
(called a linear pair)
So your equation is
157º + x = 180
subtract x on both sides
and you get
23º
That is a question about angles.
The first thing that we should to note is that a line do a straight angle. A straight angle is an 180° angle.
So, we can say that the sum of the angle a and the angle of 157° is equal to a straight angle. Let's make and solve a equation:
[tex]a + 157 = 180\\a = 180 - 57\\a = 23[/tex]
Therefore, the missing angle is 23°.
I hope I've helped. :D
Enjoy your studies. \o/
what number is between-3/4 and 5/8
Answer: Any number between -6/8 and 5/8, so -5/8, -4/8, -3/8, -2/8, -1/8, 0, 1/8, 2/8 ,3/8, and 4/8.
ldentify the slope.
3x-2y= 10
Answer:
change it into slope intercept form: y=3/2x-5
Step-by-step explanation:
the slope is 3/2
Answer:
m = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
This is the answer because:
1) Use the slope-intercept form: y = mx + b to find the slope
1. The slope intercept form is y = mx + b where m is the slop and b is the y-intercept.
2. Subtract 3x from both sides of the equation:
-2y = 10 - 3x
3. Divide each term by -2 and simplify:
[tex]y=\frac{3}{2} -5[/tex]
4. Using the slope-intercept form, the slope is [tex]\frac{3}{2}[/tex]
Therefore, the answer is [tex]\frac{3}{2}[/tex]
Hope this helps! :D
isaac wants to buy a silver coat rack. The original price is $880, 20% off. What is the sale price?
Answer:
idon know the first point
Helppppp this is really hard
Answer:
0 is the right answer.Step-by-step explanation:
[tex]y = {(x + 7)}^{3} + 4 \\ [/tex]
There are no real zero in the equation.
How many cubes with side lengths of cm does it take to fill the prism?
4
1 cm
Pro
7
cm
4
2 cm
Express the sum of 32 and 24 as
product of the GCF and a sum.
768
Step-by-step explanation:
divide
What is the y-intercept?
Answer:
3
Step-by-step explanation:
The line crosses the y axis at 3
Step-by-step explanation:
I think the y intercept is 3
Heldi is placing an online order at her favorite clothing store. Each shirt that she is ordering costs $12.50. If she must
spend at least $50 In order to get free shipping, how many shirts must she buy to get free shipping.
To graph the solution set of this inequality, draw( open or closed)
circle on the boundary point and shade to the
Either left or right)?? ASAP
Answer:
She has to buy 4 shirts. I'm not sure how to graph this sorry.
Step-by-step explanation:
MATH LOVERS PLS!!!!!!!
What is the total surface area of this cylinder? (WILL GIVE BRAINLIEST) Help needed ASAP.
Answer:
1539.38
Step-by-step explanation:
a=2 pi r squared +h(2 pi r)
7 is the diameter
and 28 inches is the height
pls mark as brainliest!!!
13 - 0.69 = 0.05
Please help
The distance between two cities is 325 miles.
If the scale on a map reads 1 inch = 50 miles,
what is the distance between the two cities
on the map?
ANSWER NOW AND YOU GET 20 and ill answer one of ur questions
Answer:
300 gallons per hour.
Step-by-step explanation:
It takes 4 of 1/4 hours to make 1 hour. Now multiply gallons per quarter hour by four.
75 x 4 = 300
1.The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and \$7,100is collected. How many adults and how many children were at the fair?
Answer:
568 ADULTS
284 CHILDREN
Step-by-step explanation:
5C+10A=7100
A=2C
5C +10(2C)=7100
5C+20C=7100
25C=7100
C=284
A=2C
A=568
BRAINLIEST???
6x + ? = -10x
? =
Does anyone know this.
Answer:
-16x
Step-by-step explanation:
6+(-16)=-10. If they all have "x", just combine like terms.
Answer:
?=-16x
Step-by-step explanation:
6x+?=-10x
-6x -6x
?=-16x
I hope this is right, I don't know how to get the exact value of ? but if the ? was a number I would be able to solve for x.
Need help pls very important 25 points here for person who gives good answer will get brainlyest
Answer: D. 2
Step-by-step explanation:
-3t + 6 = 0
1. Subtract 6 from each side
-3t + 6 - 6 = 0 - 6
-3t = -6
2. Divide each side by -3 to isolate t and get the answer to the equation
-3t/-3 = -6/-3
t = 2
You can check your answer by plugging your calculated value back into the equation and evaluating to find that 0 = 0.
The constant term in the expression 3x2 + 5x − 4 is ? .
Answer:
[tex] \huge \boxed{3 {x}^{2} + 5x - 4}[/tex]
In this equation the constant is -4.
-4 is the right answer.how do you work
8x= -4x -3x
PLZ PLZ PLZ HELP MEEEE
Answer:
open comment
please mark me brilliant
The population of a small town is changing at a rate of —255 people per year. How long will it take for the change in population to be —2,040 people?
Answer:
Solution in photo
Step-by-step explanation:
this makes no sense to me lol
Answer:
me either lol sorry :)
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
Basically all you have to do is combine those equations. How do you do that? You add/subtract the equations from each other, OR use substitution. It's hard to explain I recommend searching it up.
However, in this equation this is not what they are asking for. Only ONE equation has a solution when combined/substituted. Some have false solutions such as 3=0, which is not true. Some have infinite solutions where every number works.
Solving A:
This works because it actually gives us the value of y and x instead of giving us an incorrect statement.
Solving B:
This works as well!
Solving C:
This has no solution. It doesn't work and it ends up with 0 = -6, which is not true.
Solving D:
This has more than 1 solution.
Solving E:
This does not work, it has no solutions. It ends up with 0 = -2.