Answer:
11 and 13
because prime number is the number which can be factorised by 1 or itself
Answer:
B. 11 and D. 13 because they are odd primes
If the semi-circle and the parabola are the respective graphs of fx= square root of 9-x2,gx=b- 1/4 x2, find the value of b.
The value of b is 2.
To find the value of b, we need to equate the equations of the semi-circle and the parabola.
The equation of the semi-circle is given as fx = √(9 - x²).
The equation of the parabola is given as gx = b - (1/4)x².
Since both graphs represent the same function, we can equate them and solve for the value of x:
√(9 - x²) = b - (1/4)x²
To simplify the equation, let's square both sides:
9 - x² = (b - (1/4)x²)²
Expanding the right side of the equation:
9 - x² = b² - 2b(1/4)x² + (1/16)x⁴
Combining like terms:
9 - x² = b² - (1/2)bx² + (1/16)x⁴
Since the two sides of the equation are equal for all values of x, the coefficients of each power of x must be equal. Comparing the coefficients, we have:
-1 = -b/2 (coefficient of x² term)
0 = 1/16 (coefficient of x⁴ term)
From the coefficient of the x² term, we can solve for b:
-b/2 = -1
b/2 = 1
b = 2
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What is the slope of the graph?
Answer:
-3
Step-by-step explanation:
It's a negative slope and you do 3/1= 3 as it is negative the slope is -3
Hope this helped :)
Models of inventory systems frequently consider the relationships among a beginning inventory,
a production quantity, a demand or sales, and an ending inventory. For a given
production period j, let
sj-1 = ending inventory from the previous period (beginning inventory for period j)
xj = production quantity in period j
dj = demand in period j
sj = ending inventory for period j
a. Write the mathematical relationship or model that shows ending inventory as a function
of beginning inventory, production, and demand.
b. What constraint should be added if production capacity for period j is given by Cj?
c. What constraint should be added if inventory requirements for period j mandate an
ending inventory of at least Ij?
a. This equation states that the ending inventory for period j (sj) is equal to the beginning inventory from the previous period (sj-1) plus the production quantity in period j (xj), minus the demand in period j (dj).
b. This constraint ensures that the production quantity in period j (xj) does not exceed the production capacity for that period (Cj).
c. This constraint ensures that the ending inventory for period j (sj) is greater than or equal to the required inventory level for that period (Ij).
a. The mathematical relationship or model that shows ending inventory as a function of beginning inventory, production, and demand can be represented as:
sj = sj-1 + xj - dj
This equation states that the ending inventory for period j (sj) is equal to the beginning inventory from the previous period (sj-1) plus the production quantity in period j (xj), minus the demand in period j (dj).
b. If the production capacity for period j is given by Cj, the constraint that should be added is:
xj ≤ Cj
This constraint ensures that the production quantity in period j (xj) does not exceed the production capacity for that period (Cj).
c. If inventory requirements for period j mandate an ending inventory of at least Ij, the constraint that should be added is:
sj ≥ Ij
This constraint ensures that the ending inventory for period j (sj) is greater than or equal to the required inventory level for that period (Ij).
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When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000 radioactive atoms decayed to 974,728 radioactive atoms, so 25,272 atoms decayed during 365 days a. Find the mean number of radioactive atoms that decayed in a day b. Find the probability that on a given day, 50 radioactive atoms decayed
a) The mean number of radioactive atoms that decayed in a day is approximately 69.28 atoms. and b) the probability that on a given day, 50 radioactive atoms decayed is approximately 2.314685e-47.
a. To find the mean number of radioactive atoms that decayed in a day, we can divide the total number of atoms decayed over 365 days by the number of days:
Mean number of radioactive atoms decayed per day = Number of atoms decayed / Number of days
Mean number of radioactive atoms decayed per day = 25,272 atoms / 365 days
Mean number of radioactive atoms decayed per day ≈ 69.28 atoms
Therefore, the mean number of radioactive atoms that decayed in a day is approximately 69.28 atoms.
b. To find the probability that on a given day, 50 radioactive atoms decayed, we can use the Poisson distribution. The Poisson distribution is often used to model the number of events occurring in a fixed interval of time or space.
The formula for the Poisson distribution is:
P(X = k) = [tex](e^(-λ) * λ^k) / k![/tex]
Where:
P(X = k) is the probability that k events occur,
e is Euler's number, approximately 2.71828,
λ is the average number of events occurring in the given interval,
k is the number of events we are interested in.
In this case, the average number of radioactive atoms decayed in a day is approximately 69.28 atoms (calculated in part a). Therefore, λ = 69.28.
Substituting the values into the Poisson distribution formula:
P(X = 50) =[tex](e^(-69.28) * 69.28^50)[/tex] / 50!
Calculating [tex]e^(-69.28):[/tex]
[tex]e^(-69.28)[/tex] ≈ 2.67048178576e-31
Calculating [tex]69.28^50:[/tex]
[tex]69.28^50[/tex] ≈ 2.64267020807e+80
Calculating 50! (factorial of 50):
50! ≈ 3.04140932017e+64
Substituting these values back into the formula:
P(X = 50) ≈ (2.67048178576e-31 * 2.64267020807e+80) / 3.04140932017e+64
P(X = 50) ≈ 2.314685e-47
Therefore, the probability that on a given day, 50 radioactive atoms decayed is approximately 2.314685e-47.
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A pool membership during the summer
costs $7 per week. The total cost of a membership is given by
f(x) = 7x. The pool also rents out lockers for $2 per week. The
total cost of a membership and a rental is given by g(x) = 9x.
What is the difference between a 12-week membership
if you get a locker and if you don't? Explain how you
got your answer.
6(6b+7n-2n) btw its distrubitive property im kinda confused
Answer:
36b + 30n
Step-by-step explanation:
1. solve your like terms inside the parentheses to get 6(6b + 5n)
2. distribute the 6 on the outside, to get 36b + 30n
:)
Factorise the given question: 3p^-7p-6
Answer:
(p−3)⋅(3p+2)
Step-by-step explanation:
STEP 1 :
Equation at the end of step 1
(3p2 - 7p) - 6
STEP 2 :
Trying to factor by splitting the middle term
2.1 Factoring 3p2-7p-6
The first term is, 3p2 its coefficient is 3 .
The middle term is, -7p its coefficient is -7 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 3 • -6 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -7 .
-18 + 1 = -17
-9 +2 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 2
3p2 - 9p + 2p - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
3p • (p-3)
Add up the last 2 terms, pulling out common factors :
2 • (p-3)
Step-5 : Add up the four terms of step 4 :
(3p+2) • (p-3)
Which is the desired factorization
Final result :
(p - 3) • (3p + 2)
helpp!!! i will mark as brainliest
Answer:
i. no
ii. yes
iii.no
️️️️
What is the answer to 4 (-1/2)?
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
-1/2 = -0.5
-0.5 x 4 = -2
Simplify by combining like terms.
25pq + 13pq - 6 - 35pq + 4
Answer:
3pq-2
Step-by-step explanation:
25pq + 13pq = 38pq
Next
38pq - 35pq = 3pq
so thats ur first like terms combined then you have to do.
-6+4 = -2
So then you have your answer
3pq-2
Answer:
-17pq-2
Step-by-step explanation:
Devin wants to buy some t-shirts from a store in the mall. He has $20 in his pocket and the t-shirts cost $5 each. The situation can be modeled by the function F(t) = 5t, where F(t) represents the total cost of t t-shirts. State a reasonable domain and range for this situation.
Pls help
Answer:
25 bbgdswweghjyyhhhhhh
please help me! <3 :(
Answer:
ill help
Step-by-step explanation:
Answer:
Slope = 2 (i think)
Step-by-step explanation:
work work out the value of 3 ^ 2 plus 2 ^ 3
Answer:
Step-by-step explanation:
First 3 to the power of 2 is 3 X 3 which is nine. Next 2 the power of three is 2 X 2 X 2 which is 8. 9+8=17.
farmer janet can plant nine feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in half an hour.Justify your answer.
Answer:
a. Farmer janet
b.Farmer janet = 36 feet, daughter = 34 feet
Step-by-step explanation:
a. When moving both rates to the same common denominator we get 18/30 for janet and 17/30 for daughter
b. janet = 18/30 = 36/60, daughter = 17/30 = 34/60
Write these fractions in their simplest form:
A. 49/84
B. 216/64
Answer:
A. 7/12
B. 27/8 or 3 & 3/8
how are Mass and distance related to gravity
Answer:
here.
Step-by-step explanation:
The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.
I hope this helps! :D
Answer:
look at explanation
Step-by-step explanation
The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.
can you tell me what function family this graph belongs to
Answer:
Quadratic
Step-by-step explanation:
The type of graph is quadratic
a cleaning service lets customers decide which way they would like to be charged.
• for choice A, the total cost is $25 dollars per hour of cleaning.
•for choice B, the total cost is $50+$15h, where h is the number of hours of cleaning.
which of the following statements is true?
• Choice A always costs more $10 more than choice B
• Choice B is always more expensive
• Choice A charges less for a cleaning job that takes 5 hours
• Choice B charges more for a cleaning job that takes 3 hours.
Answer:
the 4th statement
Step-by-step explanation:
subsititute the values for h, use numbers between 1-10 to help find the answer.
A student said that 42% of 78 is 45. Is this answer reasonable? Explain.
Answer:
No because 42% of 78 is 32.76
Step-by-step explanation:
Answer:
Answer: Sample response: 42% can round to 40%, and 78 can round to 80. 40% of 80 is 32, so 42% of 78 should be about 32. 45 is much greater than 32, so the answer is not reasonable.Step-by-step explanation:
Hope this helps :)how many bottles of chocolate can you buy with $20 if one cost $4?
One step equation
pls help now plz On your own paper, please write a fraction with x^-5*y^4*z^18 in the numerator and x^-6*y^19*z^-2 in the denominator. Simplify this fraction.
Answer:
xz^20 / y^15
Step-by-step explanation:
x^-5*y^4*z^18
------------------------
x^-6*y^19*z^-2
We are dividing so we subtract the exponents
First simplify the x terms
x^ -5 / x^ -6 = x^( -5 - -6) = x^ (-5+6) = x
Then simplify the y terms
y^ 4 / y^ 19 = y^( 4 - 19) = y^ (-15)
Finally simplify the z terms
z^ 18 / z^ -2 = z^( 18 - -2) = z^ (18+2) = z^20
x y ^ -15 z^20
The positive exponent terms are in the numerator and the negative exponent terms are in the denominator ( they change to positive exponents)
xz^20 / y^15
Answer:
I like gave the other dude the answr so I am chillin
Step-by-step explanation:
thanks for da points doe g
15+5n+-5n-5+6n
-5, 5, -1, -3
WHICH ONE
Answer:
it is th3 or forth your welcome
Step-by-step explanation:
Let f(x)= ax^2+bx+c and g(x)= ax^2-bx+c. If f(1) = g(1)+2 and f(2)=2, find g(2).
Answer:
first lets calculate f(1)=g(1)+2
a+b+c=a-b+c+2 so b=1
next lets calculate f(2)=2 remembering that we found b=1
4a+2*1+c=2 so c=-4a
Now lets find g(2)
g(2)=4a-2b+c= -c-2+c=-2 this is the final response
A lawnmower was purchased at rupees 1100 and rupees 50 were paid as transportation charges. It was sold at 14% profit. Find its selling price
Answer:
Rs 1311
Step-by-step explanation:
1100 + 50 = 1150
1150 * 114%
NB : since the profit is 14% means it is 14% hence 114% = 100% + 14% meaning the 100% original amount + the 14% profit
= Rs 1311
HELP ME PLEASE, SEE THE PICTURE!
Answer:
5 students
Step-by-step explanation:
85 has the stem of 8.
The only leaf in stem 8 that has a number higher than the leaf 5 is 8.
The stem 9 is higher than the stem 8 so all of it's leaves are higher than 85.
There are 4 leaves under the stem 9 and there is one leaf in stem 8 that's higher than 5.
So there are 5 students that have a score higher than 85.
Translate the word phrase into a variable expression:
five times the sum of 2 and y
Answer:
5×(2+Y) is one way you can put the expression. Hope this helps. :)
What is 2+2? I NEED EXPLANATION PLS I DONT HAVE A LOT OF TIME I NEED EXPLANATION AND WHY I REALLY DONT KNOW I NEED HELP
Answer:
4
Step-by-step explanation:
WKKSKSK
BEACUSE
2+2=4
bOom
Answer:
4
Step-by-step explanation:
Because if you have 2 dollars and someone else has 2 dollars and they gave the 2 dollars to you. You have 4 dollars.
There are 10 fish in a tank. 30% of them are guppies. What is the probability that
fish chosen at random will be a guppy?
GUYS I NEED HELP!!
9514 1404 393
Answer:
30%
Step-by-step explanation:
If 30% of the fish are guppies, a randomly chosen fish will be a guppy with probability 30%.
A vacation resort rents SCUBA equipment to certified divers. The resort charges an up-front fee of $25 and another fee of $12.50 an hour. What is the amount if you rent the SCUBA equipment for 1 hour and 15 minutes? • $40.63 $28.13 $50 $41
The amount for renting SCUBA equipment for 1 hour and 15 minutes is (1) $40.63, including an up-front fee of $25 and an hourly rate of $12.50.
To calculate the amount for renting SCUBA equipment for 1 hour and 15 minutes, we need to consider the up-front fee and the hourly rate.
The up-front fee is $25, which is a fixed cost.
The additional fee for each hour is $12.50. Since we have 1 hour and 15 minutes, we can consider it as 1.25 hours.
Therefore, the total cost can be calculated as:
Total cost = up-front fee + (hourly rate × number of hours)
Total cost = $25 + ($12.50 × 1.25)
Total cost = $25 + $15.63
Total cost = $40.63
Hence, the amount for renting the SCUBA equipment for 1 hour and 15 minutes is $40.63.
Therefore, the correct answer is: (1) $40.63
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Let’s see who’s smart i made this myself
Answer:
$20.2
Step-by-step explanation:
Answer:
21.06
Step-by-step explanation:
17 percent of 18=3.06
3.06+18=21.06
