Answer:
2 slices
Step-by-step explanation:
Divide
12 divided by 6= 2
(11x^2+5y^2-8xy)+(x^2-7y^2+4x)
Answer:
4x2 - 3xy - 9y2
Step-by-step explanation:
Suppose the smoking habits of the parents are indepedent and the prob- ability that the mother is a current smoker is .4, where the probability that the father is a current smoker is .4, whereas the probability that the father a current smoker is .5. What is the probability that both the father and mother are current smokers?
The probability that both the father and mother are current smokers is 0.2 or 20%.
To find the probability that both the father and mother are current smokers, we need to find the joint probability. The joint probability is the probability of both events happening at the same time. In this case, the events are the father being a current smoker and the mother being a current smoker.
The probability that both the father and mother are current smokers can be found by multiplying the probabilities of each event.
P(father is a smoker) = 0.4
P(mother is a smoker) = 0.5
Therefore,
P(both father and mother are smokers) = P(father is a smoker) × P(mother is a smoker) = 0.4 × 0.5 = 0.2
So, the probability that both the father and mother are current smokers is 0.2 or 20%.
To know more about probability, here
https://brainly.com/question/30034780
#SPJ4
3. How many four letter codes can be made from the English alphabet? Uppercase and Lowercase letters can
be used (this means A is different from a) and the letters can be repeated.
4. How will your answer change from problem 3 if the letters cannot be repeated?
Answer:
3) 7311616
4) 6497400
Step-by-step explanation:
3) There are 26 letters in the alphabet
Total letters = total uppercase letters + total lowercase letters
= 26 + 26
= 52
Since the letters are allowed to be repeated, the number of ways:
52*52*52*52
= 52⁴
= 7311616
4) if the letters cannot be repeated then the number of ways is:
\(^{52}P_4\\\\= \frac{52!}{(52-4)!} \\\\= \frac{52!}{48!}\\ \\= \frac{52*51*50*49*48!}{48!} \\\\= 52*51*50*49\\\\=6497400\)
Can anyone please help?
Q: A baseball is hit into the air by the Blue Jays' batting coach.
It's height h, in meters, after t seconds is h = - 4.9t² + 27.44t + 0.584
(a) write the equation in vertex form by completing the square
b) How high off the ground was the ball when it was hit?
c) When does the ball reach it's maximum height? what is it's maximum height?
d) For how long is the ball in the air ? Round answer to 1 decimal place
The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.
The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:
h = -4.9(t² - 5.6t) + 0.584
Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:
h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584
Simplifying, we get:
h = -4.9((t - 2.8)² - 2.8²) + 0.584
Expanding further:
h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584
Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328
b) The ball's height when it was hit can be found by evaluating the equation at t = 0:
h = -4.9(0 - 2.8)² + 34.328
h = -4.9(-2.8)² + 4.328
h = -4.9(7.84) + 34.328
h ≈ 0.784 meters
To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.
The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:
0 = -4.9(t - 2.8)² + 34.328
4.9(t - 2.8)² = 34.328
(t - 2.8)² ≈ 7
t - 2.8 ≈ ±√7
t ≈ 2.8 ± √7
Since time cannot be negative in this context, we can ignore the negative value.
For more such questions on decimal
https://brainly.com/question/29078018
#SPJ8
A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
A. 3, 13, 23
B. 10, 30, 90
C. 10, 13, 16
D. 3, 30, 300
Answer:
B
Step-by-step explanation:
using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then
a₁ = 10
a₂ = 3a₁ = 3 × 10 = 30
a₃ = 3a₂ = 3 × 30 = 90
the first 3 terms are 10 , 30 , 90
If m2A = 110 degrees and m2B = 35 degrees, find m21.
A)
35 degrees
B)
75 degrees
C)
110 degrees
D)
145 degrees
Answer:
c
Step-by-step explanation:
i have a degree in mathematics so you can trust this
What is the solution to the inequality? |x−2|≥9
Due to modulus there can be two answers, one with greater than equal to and one with less than equal to. So the answer is 11 and -7.
Solve the inequality |x−2|≥9
Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa.
a) |x−2|≥9 = x-2≥ 9
=> x≥ 9+2
=> x≥ 11
b) |x−2|≥9 = x-2≥ -9 (when sign the negative the greater than equal to sign changes to less than equal to sign)
= x ≤ -9+2 ≤-7
To learn more about inequality visit:
brainly.com/question/20383699
#SPJ1
LOOK AT PICTURE, WHOEVER HAS CORRECT ANSWER, I WILL MARK BRAINIEST :)
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
find the mean, variance, and standard deviation for the number of heads when 17 coins are tossed. round your answers to three decimal places.
Factorials and the binomial theorem are utilized in the binomial distribution, a discrete probability distribution. Checking the sample space is the first step in deciding whether or not to use a binomial distribution with a given data set.
The binomial distribution would apply if there were multiple trials of the same experiment and only two outcomes in the sample space.
S=T,H,THT,H,THH,HTH,HHT,HHH in this case.
∴ n(S)=8.
Thus, the probability of each and every outcome is 18.
When tossing three coins, let X be the number of heads.
There can be 0, 1, 2, or 3 heads.
Therefore, X's possible values are 0, 1, 2, and 3.
P(X=0) = P (no head) = P(T) = 18.
P(X=1) = P (getting a single head) = P(HorTHTorH) = 38.
P (X=P (getting 2 P (THH, HTH, HHT)=38.
To learn more about binomial distribution here
https://brainly.com/question/14565246
#SPJ4
Find the 87th term in the following
arithmetic sequence:
-2, 6, 14, 22, ...
Hint: Write a formula to help you.
1st term + common difference (desired term - 1)
Answer:
first term (a)=-2
common difference (d)=8
Now,
87th term=a+(n-1)d
=-2+(87-1)×8
=-2+86×8
=-2+688
=686
simplified form for 2x(y+3)-4xy?
Answer:
-2xy+6x
Step-by-step explanation:
The average snail can move 1.81 X 10³ mi in 5 hours. What is its rate of speed in miles per hour?
Answer:
Step-by-step explanation:
How Far Can A Snail Travel In One Hour
If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.
Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.
This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.
Guess a number between 1-3 whoever gets it gets brainliest
how did u get this and what is it I need help so bad
Answer:
y=6x+5
Step-by-step explanation:
I am not sure if this is the answer but it's worth a try...
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
for such more question on mean
https://brainly.com/question/14532771
#SPJ8
A landscape architect accrued $7,883.42 in credit card debt. If the architect makes a monthly payment of $500 (and makes no additional charges on the account), how many months will it take to repay the debt if the annual interest rate on the credit card is 19.2%? (Round your answer up to the nearest month.)
Rounding up to the nearest month, it will take 24 months (2 years) to pay off the debt.
To solve this problem, we need to use the formula for the monthly payment on a credit card:
\(M = (Pr(1 + r)^n) / ((1 + r)^n - 1)\)
where:
M is the monthly payment
P is the principal (the amount of the debt)
The yearly interest rate is divided by 12 to get the monthly interest rate, or r.
n is the number of months it will take to pay off the debt
We know that the principal is 7,883.42 and the monthly payment is 500. We need to find n.
We must first figure out the interest rate every month:
r = 0.192 / 12 = 0.016
Next, we can rearrange the formula to solve for n:
n = log(M / (M - Pr)) / log(1 + r)
Substituting the values we know:
n = log(500 / (500 - 7883.42 × 0.016)) / log(1 + 0.016)
n = 23.5
Rounding up to the nearest month, it will take 24 months (2 years) to pay off the debt.
for such more question on months
https://brainly.com/question/24924853
#SPJ11
What is the constant proportionality if x = 9 and y = 4.5
100 pts if right math
The height of the goal post is 40.4 ft
How to find the height of the goal postThe height of the goal post is calculated using trigonometry
Using SOH CAH TOA
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
tan 74 = Opposite / Adjacent
tan 74 = x / 10
x = tan 74 * 10
x = 34.87
The height from ground
= 34.87 + 5.5
= 40.37
= 40.4 ft
Learn more about SOH CAH TOA here:
https://brainly.com/question/29402966
#SPJ1
Answer: 40.4ft
Step-by-step explanation:
-7 = p/4
Please help
At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?
Answer:
884.4
Step-by-step explanation:
Answer:
The original price is 895.12$
I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this
Step-by-step explanation:
Zakhele needs to draw up a budget of his monthly expenses. He earns R6500 per month. His bills in one month are rent R1650, electricity R300, car payments R12500 and petrol R400, account repayment R12500 and groceries R1200 . Given his current expenses. How much money is available for saving
Answer: -R22,050
Step-by-step explanation:
To find how much money Zakhele has available for saving, we need to subtract his total expenses from his income. So, we have:
Total expenses = Rent + Electricity + Car payments + Petrol + Account repayment + Groceries
Total expenses = R1650 + R300 + R12500 + R400 + R12500 + R1200
Total expenses = R28,550
Income = R6500
Available money for saving = Income - Total expenses
Available money for saving = R6500 - R28,550
Available money for saving = -R22,050
Based on these numbers, it appears that Zakhele's expenses are greater than his income, and he does not have any money available for saving. In fact, he has a deficit of R22,050, meaning he would need to borrow money or dip into his savings to cover his expenses for the month. If there was an error in the numbers provided, please let me know so I can adjust my calculations accordingly.
help me asp HELPPPPPPPPP ME
Answer:
C is the answer
Step-by-step explanation:
Because he have most tresures.
Answer: deep diving dan
Step-by-step explanation: he dived 26 times and found 104 treasure boxes
(a-b)·z+3(b-a)^2
Factor
Answer:
(a-b)-z+3(b-a)²
(a-b)-z+3(b²-a²)
a-b-z+3b²-a²
a-a²+3b²-b-z
(a-a²)+(3b²-b)-z
a(1-a)+b(3b-1)-z
Answer:
Step-by-step explanation:
(a-b)·z+3(b^2-a^2)
z(a-b)+3b^2-3a^2
z(a-b)+3ab(b-a)
z(a-b)-3ab(a-b)
(z-3ab)(a-b)
pls help me. I'm lost
Answer:
f(-2) = 13
g(4) = -9
Explanation:
Whenever a question is asking you to find something like, in this example, f(-2) or g(4), you have to substitute whatever number is in the parentheses for every x in the function with that letter.
Let's try to find f(-2). We have to substitute -2 for every x in the function f and simplify:
\(f(-2) = -2 (-2)^{3} -3\\f(-2) = -2(-8)-3\\f(-2) = 16 - 3 \\f(-2) = 13\)
Therefore, \(f(-2) = 13\).
Next, let's try to find g(4). We have to substitute 4 for every x in the function g and simplify:
\(g (4) = -2(4) - 1\\g(4) = -8-1\\g(4) = -9\)
Therefore, \(g (4) = -9.\)
which statement is true about the solutions to the equation x^2 + 4x + 5 = 0
A. The equation has no solution
B. The equation has one solution: 5.
C. The equation has two solutions: -2 and 0.
D. The equation has infinitely solutions.
Sammy wants to spend no more than $35 at the arcade. If he is playing games at the arcade that each cost $0.75, which inequality can be used to find g, the number of games that Sammy can play and stay within his goal
Answer:
0.75 g ≤ 35
Step-by-step explanation:
if each games costs $0.75, then the answer of g will be given by 35/0.75.
he can go up to exactly $35 but not over
so, the inequality is given by 0.75 g ≤ 35
please help I need help
Answer:
Step-by-step explanation:
well if he road 12miles in 55 mines all u have to do is divide is 55 to 12.
Incorrect 00:00 Evaluate the expression for x = 1.7. Enter your answer in the box. х2 + 3x
Answer:
7.99
Step-by-step explanation:
x^2 +3x
Let x=1.7
(1.7)^2 +3(1.7)
2.89+5.1
7.99
The Patel family threw a 100th birthday party for Grandma Patel. They saved
money and deposited $2.500.00 into a new party account. The family invited 200
people, but they only expected 100 guests to come. Each guest cost $20.50.
Instead of 100 guests, 144 guests came. When the Patels paid the bill, what was
their new account balance was
Step-by-step explanation:
Ok so lets begin with what we know. Each guest is $20.50, 144 guests arrived, and they started with $2,500.
The equation would be 2,500-20.5(144)
20.5(144)=$2,952
Now the issue here is that the payment is more than the account balance and so im guessing either they want the answer as $0, they want the negative value which is -$452, or there was another part before this with the old account info.
need help asap please
Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.
How to explain the strategies usedMary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.
Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.
Learn more about price on
https://brainly.com/question/1153322
#SPJ1
The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.