Answer:
a) grilling
b) 12 grilling process per hour
Step-by-step explanation:
the bottleneck in this process is grilling, which slows down production by taking a considerable amount of time.
Grilling takes 5 minutes, which is the longest of any other stage of process
In one hour there are 60 minutes
The hourly rate of grilling is therefore 60/5 = 12 grilling process per hour
"759,993 rounded to the nearest hundread
Answer:
760,000
Step-by-step explanation:
759,993
we round 993 up to 1,000
ej bisects def, m dej-5x+7, m JEF=8x-8. find x
Answer:
[tex] x = 5 [/tex]
Step-by-step explanation:
Given that segment EJ bisects angle DEF, it implies that angle DEF is divided into two equal angles, namely, angle DEJ = 5x + 7, and angle JEF = 8x - 8.
To find the value of x, let's derive an equation by setting m<DEJ equal to m<JEF, since both are equal parts of angle DEF bisected by segment EJ.
Thus:
[tex] 5x + 7 = 8x - 8 [/tex]
Solve for x
[tex] 5x + 7 - 8x = 8x - 8 - 8x [/tex] (subtracting 8x from both sides)
[tex] -3x + 7 = - 8 [/tex]
[tex] -3x + 7 - 7 = - 8 - 7 [/tex] (Subtracting 7 from both sides)
[tex] -3x = -15 [/tex]
[tex] \frac{-3x}{-3} = \frac{-15}{-3} [/tex] (dividing both sides by -3)
[tex] x = 5 [/tex]
Which expression represents the prime factorization of 484?
Answer: 2*2*11*11
Step-by-step explanation:
484 = 2 times 242 = 2 times 2 times 121 = 2 times 2 times 11 times 11.
"*" = mean multiply/times.
2*2*11*11
2*2*11*11
HOPE THIS HELPED!
A 7 volume numbered set of books is placed randomly on a shelf. What is the probability that the books will be numbered in the correct order from left to right?
Answer:
The probability of them being in the right order would be a fraction of 1/7
Jennifer is a runner and ran a 10k last weekend. The function t=7k represents the relationship between kilometers, k, and the total running time, t. What is a reasonable range for this situation?
Answer:
We know that Jennifer ran 10k last weekend.
Now, we have the function:
t = f(k) = 7*k
(notice that this is a linear function)
First, let's define what is the range.
The range is the possible values that the outcome, t, can take.
To see the range, we first must see the domain (the possible values of of the input)
In this case, we know that the minimum value of k is 0 (the time to run 0 kilometers)
t(0) = 7*0 = 0
Here we found the minimum of the range.
Now, the maximum value in the domain is 10 (because she ran 10km, we can not have a value of k larger than 10)
The time is:
t(10) = 7*10 = 70
This will be the maximum of the range.
Then the range can be written as:
R = [0, 70]
Simplify the expression: 4(–6p − 2)
Answer:
-24p -8
Step-by-step explanation:
4(–6p − 2)
Distribute
4 * -6p -4*2
-24p -8
Find the average of all scores
there are:
ten scores of 9
eight scores of 8
ten scores of 7
three scores of 6
Round to one decimal place
Answer:
9880
Step-by-step explanation:
because u have to use the last number and round it up to the closes while number then add ur Decimal
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by: P(x)=-12x^2+120x What current will produce the maximum power?
Answer:
A current of 5 amperes will produce the maximum power.
Step-by-step explanation:
Let be [tex]p(x) = -12\cdot x^{2}+120\cdot x[/tex], where [tex]p(x)[/tex] is measured in watts and [tex]x[/tex] in amperes. At first we must obtain the first and second derivatives of the function to determine the current associated with maximum power. That is:
First derivative
[tex]p'(x) = -24\cdot x + 120[/tex]
Second derivative
[tex]p''(x) = -24\cdot x[/tex]
Now, we equalize the first derivative to zero and solve it afterwards: (First Derivative Test)
[tex]-24\cdot x + 120 = 0[/tex]
[tex]x = 5\,A[/tex]
The only critical point is [tex]x = 5\,A[/tex].
As next step we need to assure that critical point leads to an absolute maximum by evaluating the critical point found above in the second derivative: (Second Derivative Test)
[tex]p(5)'' = -24\cdot (5)[/tex]
[tex]p''(5) = -120[/tex]
Which indicates that critical point leads to an absolute maximum.
A current of 5 amperes will produce the maximum power.
Answer: 5
Step-by-step explanation:
khan
Mrs Perry shares out 21 biscuits between
Gemma and Zak in the ratio 1 : 6
How many biscuits does each child get?
biscuits.
Gemma gets
biscuits and Zak gets
Answer:
Gemma gets 3 biscuits
Zak gets 18 biscuits
Step-by-step explanation:
1:6 = 1+6
= 7
1/7 * 21 = 3
6/7 * 21 = 18
Step-by-step explanation:
x+6x=21
7x=21
x=3
6x=3×6= 18
Gemma gets 3 and Zak got 18
The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 275 - 16t^2.
(a) Find the average velocity of the pebble for the time period beginning when t − 4 and lasting (i) 0.1 seconds (ii) 0.05 seconds (iii) 0.01 seconds (b) Estimate the instantaneous velocity of the pebble after 4 seconds.
Answer:
Our equation for the height is:
y(t) = 275 - 16*t^2.
a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:
[tex]AV = \frac{y(t2) - y(t1)}{t2 - t1}[/tex]
Then:
i) t1 = 4s, t2 = 4s + 0.1s = 4.1s
The average velocity is:
[tex]AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6[/tex]
And the units will be ft/s, so the average speed is:
-129.6 ft/s
The minus sign is because te pebble is falling down.
ii) t1 = 4s, t2 = 4s + 0.05s = 4.05s
The average velocity is:
[tex]AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8[/tex]
So the average speed is -128.9 ft/s
iii) t1 = 4s, t2 = 4s + 0.01s = 4.01s
The average speed is:
[tex]AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16[/tex]
The average speed is -128.16 ft/s.
b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.
v(t) = dy(t)/dt.
v(t) = -2*16*t + 0
Then the velocity at t = 4s is:
v(4s) = -32*4 = -128
The instantaneous velocity at t = 4s is -128 ft/s.
a). The average velocity of the pebble for the time period would be:
i). [tex]-129.6[/tex]
ii). [tex]-128.8[/tex]
iii). [tex]-128.16[/tex]
b). The instantaneous velocity of the pebble post 4 seconds would be:
[tex]-128[/tex]
a). We need to find the average velocity,
i). [tex]t1 = 4s, t2 = 4s + 0.1s = 4.1s[/tex]
Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]
by putting the values,
[tex]= y(4.1) - y(4) / 4.1 - 4[/tex]
[tex]= 275 - 16(4.1)^2 - 275 - 16(4)^2 / 0.1[/tex]
[tex]= 275 - 16*16.81 - 275 - 16(16) / 0.1[/tex]
[tex]= 6.04 - 19 / 0.1[/tex]
[tex]= -12.96 /0.1[/tex]
[tex]= -129.6[/tex]
ii). Now,
[tex]t_{2} = (4 + 0.05 = 4.05s)[/tex]
Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]
[tex]= y(4.05) - y(4) / 4.05 - 4[/tex]
[tex]= -6.4 / 0.05[/tex]
[tex]= -128.8[/tex]
iii). Now,
[tex]t_{2} = 4.01s[/tex]
Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]
[tex]= y(4.01) - y(4) / 4.01 - 4[/tex]
[tex]= -1.28 / 0.01[/tex]
[tex]= -128.16[/tex]
b). Instantaneous velocity
[tex]y = 275 - 16t^2[/tex]
[tex]dy/dx = -32t[/tex]
Considering [tex]t = 4[/tex]
∵ Instantaneous velocity post 4 seconds [tex]= -32(4)[/tex]
[tex]= -128[/tex]
Learn more about "Velocity" here:
brainly.com/question/18084516
Find the distance between M and N. The locations of M and N are -10 and -20
Answer:
10
Step-by-step explanation:
Subtract the two distances
-10 - -20
-10 +20
10
The distance is 10
Your company offers warranty coverage for MP3 players. The policy provides for the replacement of MP3 players that fail within 3 years of purchase of the MP3 player. The lifetime of a particular model of player is subject to a constant force of mortality, and the expected lifetime is 5 years. On January 1, coverage is purchased for 1000 MP3 players. Calculate the expected number of MP3 players replaced in the first year. (Ans 181.
Answer:
181 MP3 players
Step-by-step explanation:
Given data:
Replacement of MP3 that fail within 3 years
expected lifetime of MP3 = 5 years
number of MP3 players purchased = 1000
number of MP3 players replaced in the first year = ?
To determine the number of MP3 replaced in the first year we will employ this formula:
[tex]E(To) = \frac{1}{u} = e_{x} ^{0} =\int\limits^a_0 {po} \, dt[/tex]
a = ∞
since the given problem is an exponential distribution
1/u = 5 hence u = 0.2
next we will determine the number of MP3's to fail in its first year of purchase
qo = failure
po = success
number of purchase = 1000
attached below is the remaining part of the solution
Suppose bananas, b, cost $0.29 each. Write an expression for the cost of buying a certain quantity of bananas.
Answer:
0.29b =
Step-by-step explanation:
each banana costs .29 $ so if you replace b with any number, you would have the cost the certain quantity of bananas
Given f(x)=20x+12, find f(5)
Answer:
212
Step-by-step explanation:
20(5)+12
200+12
212
Jessica has a $100 gift card from
Starbucks. She spends $5 each day
until the balance is zero.
Answer:
I'm not sure what answer you want from this but it would take her 20 days to use the entire gift card
Answer:
so she spend $5 for 20 days
Step-by-step explanation:
hope it is helpfull.
please mark me as a brainlist...
Find the ratio y:x, if 3x=11y,
Answer:
3:11
Step-by-step explanation:
3x=11y
Rearrange to the format of the ratio.
11y = 3x
Let's find y/x. y/x is y:x.
11y = 3x
Divide both sides by 11.
11y/11 = 3x/11
y = 3x/11
NOW LET'S DIVIDE BOTH SIDES BY x TO GET x AS THE DENOMINATOR OF y.
y = 3x/11
y/x = (3x/11)/x
y/x = (3x/11) * 1/x
y/x = 3/11
Therefore, y:x = 3:11
Please thank, rate 5 stars, and give brainliest. Thank you.
QUESTION 1 1 POINT
Factor: 27m3
64.
Provide your answer below:
Content attribution
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{(3m - 4)(9 {m}^{2} + 12m + 16)}}}}[/tex]
Step-by-step explanation:
[tex] \sf{27 {m}^{3} - 64}[/tex]
[tex] \dashrightarrow{ \sf{( {3m)}^{3} - {(4)}^{3} }}[/tex]
Use the formula of a³ - b³ = ( a - b) ( a² + ab + b² )
[tex] \longrightarrow{ \sf{(3m - 4)(3 {m}^{2} + 3m \times 4 + {4}^{2} }})[/tex]
[tex] \longrightarrow{ \sf{(3m - 4)( {9m}^{2} + 12m + 16}})[/tex]
Hope I helped!
Best regards! :D
-1+(-8) is how many units away from 4 on the number line
Answer:
13 units
Step-by-step explanation:
-1 + (-8) = -9
|-9| = 9 + 4 = 13
(-9) is 13 units from 4
Hopefully this helps you :)
pls mark brainlest ;)
Hello i need help.
Answer:
477,900
Step-by-step explanation:
Which best describes the association shown in the scatter plot?
Answer:
A- Strong Positive
Step-by-step explanation:
hopes this helps
Answer:
strong positive
Step-by-step explanation:
The system shown below is
.
x + 3y = 4
3x + 9y = 12
Answer:
Consistent and Dependent
Step-by-step explanation:
Just did the question
The perimeter of the polygon above is
Answer:
30cm
Step-by-step explanation:
5+5+12+8
Which symbol correctly compares the two fractions?
Use >, <, or =.
Enter your answer in the box.
5/12
3/6
Answer:
5/12<3/6
Step-by-step explanation:
3/6 is 1/2 and 5/12 is smaller than 1/2
Answer:
5/12 < 3/6
Step-by-step explanation:
3/6 is equivalent to 6/12 because 3 times 2 is 6 and 6 times two is 12. 6 (the new numerator of 3/6) is greater than the numerator of 5/12- 5. 5<6. They have the same denominator so 5/12< 6/12 which is the same as 5/12 < 3/6. Hope that helped!
In a large accounting firm, the proportion of accountants with MBA degrees and at least five years of professional experience is 75% as large as the proportion of accountants with no MBA degree and less than five years of professional experience. Furthermore, 35% of the accountants in this firm have MBA degrees, and 45% have fewer than five years of professional experience. If one of the firm's accountants is selected at random, what is the probability that this accountant has an MBA degree or at least five years of professional experience, but not both
Answer:
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3
Step-by-step explanation:
From the given study,
Let A be the event that the accountant has an MBA degree
Let B be the event that the accountant has at least 5 years of professional experience.
P(A) = 0.35
[tex]P(A)^C[/tex] = 1 - P(A)
[tex]P(A)^C[/tex] = 1 - 0.35
[tex]P(A)^C[/tex] = 0.65
[tex]P(B)^C[/tex] = 0.45
P(B) = 1 - [tex]P(B)^C[/tex]
P(B) = 1 - 0.45
P(B) = 0.55
P(A ∩ B ) = 0.75 [tex]P(A^C \ \cap \ B^C)[/tex]
P(A ∩ B ) = 0.75 [ 1 - P(A ∪ B) ] because [tex]P(A^C \ \cap \ B^C)[/tex] = [tex]P(A \cup B)^C[/tex]
SO;
P(A ∩ B ) = 0.75 [ 1 - P(A) - P(B) + P(A ∩ B) ]
P(A ∩ B ) = 0.75 [ 1 - 0.35 - 0.55 + P(A ∩ B) ]
P(A ∩ B ) - 0.75 P(A ∩ B) = 0.75 [1 - 0.35 -0.55 ]
0.25 P(A ∩ B) = 0.075
P(A ∩ B) = [tex]\dfrac{0.075}{0.25}[/tex]
P(A ∩ B) = 0.3
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is: P(A ∪ B ) - P(A ∩ B)
= P(A) + P(B) - 2P( A ∩ B)
= (0.35 + 0.55) - 2(0.3)
= 0.9 - 0.6
= 0.3
∴
The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3
find the l.c.m of 2,4,6 and 8
Answer:
24.
Step-by-step explanation:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
4 , 8 , 12, 16, 20, 24
6, 12, 18, 24
8, 16, 24
Looking at the multiples of these numbers, we choose the multiple they all have in common. I usually do this for the two biggest numbers, (8 and 6;) and check my work with the others. If you would like more examples from me or need extra help, feel free to ask! I am on Brainly replying to questions and comments from 1 pm - 2 pm EST. Hope this helped!
Is this answer correct?
Answer:
YES
Step-by-step explanation:
PLEASE MARK AS BRAINLIST ANSWER
5. Francisco enjoys scuba diving. He descends 7 feet below sea level. He descends the same
distance 5 more times. What is Francisco's final elevation? Explain using 2-3 sentences how you
got to your answer.
Answer:
35
Step-by-step explanation:
I got my answer by multiplying the sea level he descended to the number of time he descended.
0.000487 in scientific notation
Answer:
4,87×10⁴ thats the answer:)
Answer:
[tex]10^{4} x 4.87[/tex]
Step-by-step explanation:
Which diagram shows plane C and plane D intersecting at ←XY→?
Answer: The bottom left option.
Step-by-step explanation:
←XY→ is the line that connects the points X and Y.
The fact that the planes C and D intersect at this linea, means that all the points where the planes are intersecting are points in the given line.
Then the correct option is the bottom left one, because the planes D and C are intersecting in a line, and the line passes through the points X and Y, so that line is called ←XY→.
y = 1/9 * x - 8 what is the slope ?
Answer:
1/9
Step-by-step explanation:
the slope is m in y=mx+b
hope this helps!
