Answer:
D
Step-by-step explanation:
Like I said last time, since the graph is moved up by 3 units, the answer is choice D. Hope this helps!
12+5(4x-6) in distributive property
Based on a poll, 66% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among 3 randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond?
Answer:
.
Step-by-step explanation:
The final margin of an NFL football game is approximately normally distributed, with a mean equal to the gambling point spread and a standard deviation of 14 points. Recall the great 2008 Super Bowl in which the Giants upset the Patriots. The Patriots had been favored by 12 points. What does that fact imply about the Giants' initial (i.e., pre-game) chances of winning
Answer:
The Giants had 0.1949 = 19.49% probability of winning initially.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean equal to the gambling point spread and a standard deviation of 14 points. The Patriots had been favored by 12 points.
This means that \(\mu = 12, \sigma = 14\)
What does that fact imply about the Giants' initial (i.e., pre-game) chances of winning
P(X > 0): Probability of Patriots winning.
P(X < 0): Probability of Giants winning.
So we want to find P(X < 0), which is the pvalue of Z when X = 0. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{0 - 12}{14}\)
\(Z = -0.86\)
\(Z = -0.86\) has a pvalue of 0.1949
The Giants had 0.1949 = 19.49% probability of winning initially.
How do average speed, distance, and time all relate to each other?
A.
The time is equal to the distance divided by the average speed.
B.
The average speed is equal to the distance multiplied by the time.
C.
The time is equal to the distance multiplied by the average speed.
need help asappppppp
Answer:
for what
Step-by-step explanation:
If a and b are positive numbers, find the maximum value of f(x) = x^a(5 − x)^b on the interval 0 ≤ x ≤ 5.
The maximum value of f(x) = x^a(5 − x)^b on the interval 0 ≤ x ≤ 5 is 0 ≤ x ≤ 5 is 5^b.
What is the maximum value?Generally, To find the maximum value of a function on a given interval, it is generally helpful to find the critical points (points, where the derivative is equal to zero or the function, is undefined) and the endpoints of the interval, and then evaluate the function at these points to find the maximum value.
The d/dx f(x) is given by:
f'(x) = ax^(a-1)(5-x)^b - bx^a(5-x)^(b-1)
Setting this equal to zero and solving for x, we find that the critical points are x = 0, x = 5, and x = (5b)/(a+b).
We can then evaluate the function at these points to find the maximum value. At x = 0, f(x) = 0^a*(5-0)^b = 5^b.
At x = 5, f(x) = 5^a*(5-5)^b = 0.
At x = (5b)/(a+b),
f(x) = [(5b)/(a+b)]^a*(5-[(5b)/(a+b)])^b.
Since a and b are positive, the maximum value must occur at either x = 0 or
x = (5b)/(a+b).
To determine which of these points gives the larger value of f(x), we can compare the values of
5^b and [(5b)/(a+b)]^a*(5-[(5b)/(a+b)])^b.
The expression [(5b)/(a+b)]^a*(5-[(5b)/(a+b)])^b is equal to [(5b)/(a+b)]^a*[(a+b-5b)/(a+b)]^b.
Since a and b are positive, [(5b)/(a+b)]^a and [(a+b-5b)/(a+b)]^b are both greater than or equal to 1, so the expression [(5b)/(a+b)]^a*[(a+b-5b)/(a+b)]^b is greater than or equal to 1.
Therefore, the maximum value of f(x) is 5^b, which occurs at x = 0.
Thus, the maximum value of f(x) = x^a(5 − x)^b on the interval 0 ≤ x ≤ 5 is 5^b.
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6. Journalise the following transactions
1. Bricks for Rs 60,000 and timber for Rs 35,000 purchased for
the construction of building. The payment was made by cheque.
2. Placed in fixed deposit account at bank by transfer from current
account Rs 13,000.
3. Appointed Mr. S.N. Rao as Accountant at Rs 300 p.m. and
Received Rs 1000 as security Deposit at 5% p.a. interest.
4. Sold goods to shruti for Rs 80,000 at 15% trade discount and
4% cash discount. Received 75% amount immediately through a
cheque.
5. Purchased goods from Richa for Rs 60,000 at 10% trade
discount and 5% cash discount. 60% amount paid by cheque
immediately.
6.
On 18th jan,Sold goods to shilpa at the list price of Rs 50,000
20% trade discount and 4% cash discount if the payment is made
within 7 days. 75% payment is received by cheque on Jan 23rd.
7. On 25th jan, sold goods to garima for Rs 1,00,000 allowed her
20% trade discount and 5% cash discount if the payment is made
within 15 days. She paid 1/4th of the amount by cheque on Feb 5th
and 60% of the remainder on 15th in cash.
8. Purchased land for Rs 2,00,000 and paid 1% as brokerage and
Rs 15,000 as registration charges on it. Entire payment is made by
cheque.
9. Goods worth Rs 25,000 and cash Rs 40,000 were taken away
by the proprietor for his personal use.
10. Sold goods costing Rs 1,20,000 to charu at a profit of 33% 3 %
on cost less 15% trade discount.
9
11. Paid rent of building Rs 60,000 by cheque. Half the building is
used by the proprietor for residential purpose.
12. Sold goods costing Rs 20,000 to sunil at a profit of 20% on
sales less 20% trade discount .
13. Purchased goods for Rs 1000 from nanda and supplied it to
helen for Rs 1300. Helen returned goods worth Rs 390, which in
turn were returned to nanda.
14. Received invoice at 10% trade discount from rohit and sons
and supplied these goods to madan, listed at Rs 3000.
1.Bricks and timber purchased for construction. (Debit: Bricks - Rs 60,000, Debit: Timber - Rs 35,000, Credit: Bank - Rs 95,000)
2.Transfer of Rs 13,000 to fixed deposit account. (Debit: Fixed Deposit - Rs 13,000, Credit: Current Account - Rs 13,000)
3.Appointment of Mr. S.N. Rao as Accountant. (Debit: Salary Expense - Rs 300, Debit: Security Deposit - Rs 1,000, Credit: Accountant - Rs 300)
4.Goods sold to Shruti with discounts. (Debit: Accounts Receivable - Shruti - Rs 80,000, Credit: Sales - Rs 80,000)
5.Goods purchased from Richa with discounts. (Debit: Purchases - Rs 60,000, Credit: Accounts Payable - Richa - Rs 60,000)
6.Goods sold to Shilpa with discounts and received payment. (Debit: Accounts Receivable - Shilpa - Rs 50,000, Credit: Sales - Rs 50,000)
7.Goods sold to Garima with discounts and received partial payment. (Debit: Accounts Receivable - Garima - Rs 1,00,000, Credit: Sales - Rs 1,00,000)
8.Purchase of land with additional charges. (Debit: Land - Rs 2,00,000, Debit: Brokerage Expense - Rs 2,000, Debit: Registration Charges - Rs 15,000, Credit: Bank - Rs 2,17,000)
9.Proprietor took goods and cash for personal use. (Debit: Proprietor's Drawings - Rs 65,000, Credit: Goods - Rs 25,000, Credit: Cash - Rs 40,000)
10.Goods sold to Charu with profit and discount. (Debit: Accounts Receivable - Charu - Rs 1,20,000, Credit: Sales - Rs 1,20,000)
11.Rent paid for the building. (Debit: Rent Expense - Rs 60,000, Credit: Bank - Rs 60,000)
12.Goods sold to Sunil with profit and discount. (Debit: Accounts Receivable - Sunil - Rs 24,000, Credit: Sales - Rs 24,000)
13.Purchased goods from Nanda and supplied to Helen. (Debit: Purchases - Rs 1,000, Debit: Accounts Payable - Nanda - Rs 1,000, Credit: Accounts Receivable - Helen - Rs 1,300, Credit: Sales - Rs 1,300)
14.Purchased goods from Rohit and Sons and supplied to Madan. (Debit: Purchases - Rs 2,700, Credit: Accounts Payable - Rohit and Sons - Rs 2,700, Debit: Accounts Receivable - Madan - Rs 3,000, Credit: Sales - Rs 3,000)
Here are the journal entries for the given transactions:
1. Bricks and timber purchased for construction:
Debit: Bricks (Asset) - Rs 60,000
Debit: Timber (Asset) - Rs 35,000
Credit: Bank (Liability) - Rs 95,000
2. Transfer to fixed deposit account:
Debit: Fixed Deposit (Asset) - Rs 13,000
Credit: Current Account (Asset) - Rs 13,000
3. Appointment of Mr. S.N. Rao as Accountant:
Debit: Salary Expense (Expense) - Rs 300
Debit: Security Deposit (Asset) - Rs 1,000
Credit: Accountant (Liability) - Rs 300
4. Goods sold to Shruti:
Debit: Accounts Receivable - Shruti (Asset) - Rs 80,000
Credit: Sales (Income) - Rs 80,000
5. Goods purchased from Richa:
Debit: Purchases (Expense) - Rs 60,000
Credit: Accounts Payable - Richa (Liability) - Rs 60,000
6. Goods sold to Shilpa:
Debit: Accounts Receivable - Shilpa (Asset) - Rs 50,000
Credit: Sales (Income) - Rs 50,000
7. Goods sold to Garima:
Debit: Accounts Receivable - Garima (Asset) - Rs 1,00,000
Credit: Sales (Income) - Rs 1,00,000
8.Purchase of land:
Debit: Land (Asset) - Rs 2,00,000
Debit: Brokerage Expense (Expense) - Rs 2,000
Debit: Registration Charges (Expense) - Rs 15,000
Credit: Bank (Liability) - Rs 2,17,000
9. Goods and cash taken away by proprietor:
Debit: Proprietor's Drawings (Equity) - Rs 65,000
Credit: Goods (Asset) - Rs 25,000
Credit: Cash (Asset) - Rs 40,000
10. Goods sold to Charu:
Debit: Accounts Receivable - Charu (Asset) - Rs 1,20,000
Credit: Sales (Income) - Rs 1,20,000
Credit: Cost of Goods Sold (Expense) - Rs 80,000
Credit: Profit on Sales (Income) - Rs 40,000
11. Rent paid for the building:
Debit: Rent Expense (Expense) - Rs 60,000
Credit: Bank (Liability) - Rs 60,000
12. Goods sold to Sunil:
Debit: Accounts Receivable - Sunil (Asset) - Rs 24,000
Credit: Sales (Income) - Rs 24,000
Credit: Cost of Goods Sold (Expense) - Rs 20,000
Credit: Profit on Sales (Income) - Rs 4,000
13. Goods purchased from Nanda and supplied to Helen:
Debit: Purchases (Expense) - Rs 1,000
Debit: Accounts Payable - Nanda (Liability) - Rs 1,000
Credit: Accounts Receivable - Helen (Asset) - Rs 1,300
Credit: Sales (Income) - Rs 1,300
14. Goods received from Rohit and Sons and supplied to Madan:
Debit: Purchases (Expense) - Rs 2,700 (after 10% trade discount)
Credit: Accounts Payable - Rohit and Sons (Liability) - Rs 2,700
Debit: Accounts Receivable - Madan (Asset) - Rs 3,000
Credit: Sales (Income) - Rs 3,000
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How many apples do you need to baked 3 apple pies if each pie need 5 apples?
Answer:
15
Step-by-step explanation:
Each pie requires 5 apples
5x3=15
Answer:
Step-by-step explanation:
1 apple pie = 5 apples
3 apple pies x 5 apples = 15 apples
If f(x) = 4^x-8 and g(x) = 5x+6, find (f + g)(x)
A. (F+g)(x) = -4^x - 5x + 2
B.(F+g)(x) = 4^x + 5x - 2
C.(F+g)(x) = 4^x - 3x + 6
D.(F+g)(x) = 9x - 2
Hey there!
We are given two functions - one is Exponential while the another one is Linear.
\( \large{ \begin{cases} f(x) = {4}^{x} - 8 \\ g(x) = 5x + 6 \end{cases}}\)
1. Operation of Function
(f+g)(x) is a factored form of f(x)+g(x). We can common factor out x. Therefore:\( \large{(f + g)(x) = f(x) + g(x)}\)
2. Substitution
Next, we substitute f(x) = 4^x+8 and g(x) = 5x+6.\( \large{(f + g)(x) = ( {4}^{x} - 8) + (5x + 6)}\)
3. Evaluate/Simplify
Cancel out the brackets and combine like terms.\( \large{(f + g)(x) = {4}^{x} - 8 + 5x + 6} \\ \large{(f + g)(x) = {4}^{x} + 5x - 8 + 6} \\ \large{(f + g)(x) = {4}^{x} + 5x - 2}\)
4. Final Answer
(f+g)(x) = 4^x+5x-2In the similar quadrilaterals below, what is the length of AB?
A. 9 cm
B. 12.5 cm
C. 4.5 cm
D. 2.25 cm
Which of the following equations show the relationship between x and y in the table?
1. y= x+3
2. Y= 3x+1
3. Y=2x+2
4.y=4x
Answer:
y=2x+2
Step-by-step explanation:
you have to substitute x and y in the given equations and which one works
for y=x+3 , 4=1+3 true , 6=2+3 false
for y=3x+1, 4=3*1+3 false
for y=2x+2, 4= 2*1+2 true, 6= 2*2+2 true, 8= 2*3+2 true, 10=2*4+2 true
for y=4x, 4=4*1 true, 6= 4*2 false
Mr.Bhal has a circular wading pool with a radius of 3.5 feet. He bought a larger pool witha diameter of 21 feet. The measurements of each pool are shown below. How many times the circumference of the old pool is the circumference of the new pool?
Answer: i think c
Step-by-step explanation:
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
Find the average rate of change of g(x) =– 1x - 5 between the points (-4,-1) and (1,-6)
Answer:
m= -1
Step-by-step explanation:
Lucia is making invisibility potions. Each potion requires 222 eyes of newt.
How many invisibility potions can Lucia make with 161616 eyes of newt?
Lucia has all of the other ingredients she needs.
Answer:
728
Step-by-step explanation:
you just take 161616 and divide it by 222
Answer:
8 pointon
Step-by-step explanation:
given the following table with selected values of f(x) and g(x) evaluate f(g(1))
The value of f(g(1) from the table of functions is given as 1.
What is Functions ?Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.
when x = 1
g(x) = 3
or f(g(1) = f(3) = 1
The value of f(g(1) from the table of functions is given as 1.
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A washer and a dryer cost $1020.00 combined. The washer costs $70.00 more than the dryer. What is the cost of the dryer?
Answer:475 and 545
Step-by-step explanation:
Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.
Which statements about the function are true? Select three options.
The vertex of the function is at (–4,–15).
The vertex of the function is at (–3,–16).
The graph is increasing on the interval x > –3.
The graph is positive only on the intervals where x < –7 and where
x > 1.
The graph is negative on the interval x < –4.
Answer:
The vertex of the function is at (–3,–16)
The graph is increasing on the interval x > –3
The graph is positive only on the intervals where x < –7 and where
x > 1.
Step-by-step explanation:
The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:
\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)
So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval
Manny plans to save 1/12 of his salary each week. If his weekly salary is $420 find the amount he will save each week.
Answer:
$37.50
Step-by-step explanation:
1/12 × 450 = 37.50
Answer:
35
Step-by-step explanation:
you can do this problem two different ways
you can multiply 420 by 1/12
OR
you can divide 420 by 12
they both equal 35
In a Monopoly market, a firm is a price maker since there are no close substitutes to the product. You are asked to find the company's Proft-Maximization point. Fixed Costs remains at $1,000.00. Calculate the revenue, profit (any), and costs on the graph,
1. The set containing no element in it is called
Answer:
Empty set
Step-by-step explanation:
The set containing no element in it is called an empty set.
One of the example of an empty set is as follows :
A = {x : x² = 4, x is odd}
In this case, if x = 2, then x² = (2)² = 4
There is no number other than 2 whose square is equal to 4.
Hence, this is an empty set.
3^3-5(6) simplify this equation
Answer:
-3
Step-by-step explanation:
27-30
Answer:
-3
Step-by-step explanation:
3³-5(6)
3*3*3-30
27-30
-3
please help me Arithmetic Reasoning
Dave has a 30% off coupon for a pair of jeans priced at $78.95. He will also have to pay 6% sales tax and a 1% local option tax at the register. How much will he have to pay for the jeans?
Step-by-step explanation:
Price of Jeans = $78.35
30% coupon = 30% × $78.35 = $23.51
6% sales tax = 6% × $78.35 = $4.70
1% local option tax = 1% × $78.35 = $0.78
Total cost of jeans = $78.35 - $23.51 + $4.70 + $0.78 = $60.32
4. Choose the expression that matches the following statement: three times the difference of
two times a number and 7 taken from 8 of a number.
a) 2x+21
b) 2x - 21
c) -2x - 21
d) -2x - 7
Abigail volunteers as a gift wrapper at a children's bookstore during the holiday season. She can gift wrap a book in 3.5 minutes. Let t be the total number of books she wraps, and let m be the total minutes she spends wrapping. The equation m=3.5t represents this situation. Graph the equation.
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Solve all this
1) 2x-8=11x-10
2)6x-6=3x+1
3)1/2x+4=1/3x+1
4)-2/5x+1/3=1/2x+1/4
5)5/3x2=1/2x-2/3
Answer: hii :)
1. 2x-8=11x-10 = 2/9
2. 6x-6=3x+1 = 7/3
3. 1/2x+4=1/3x+1 = -18
4. -2/5x+1/3=1/2x+1/4 = 5/54
5. I dont know the answer to <3
Step-by-step explanation:
Hopefully this helps you,
Sorry for being late on the question.
- Matthew
Ms. Rios washed 2 5 of her laundry. Her son washed 1 3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
The son has washed most of the laundry.
Step-by-step explanation:
Which of the following sets of numbers could represent side
lengths of a right triangle?
Select one:
15 cm, 18 cm. 33 cm
15 cm, 20 cm, 25 cm
15 cm, 16 cm, 17 cm
15 cm, 15 cm, 18 cm
9514 1404 393
Answer:
(b) 15 cm, 20 cm, 25 cm
Step-by-step explanation:
Because you know that the triple (3, 4, 5) is a Pythagorean triple, you know that every multiple of it will also give side lengths of a right triangle. Multiplying that triple by 5 gives (15, 20, 25), matching the 2nd choice on the list.
__
Comments on other choices
You also know that (3, 4, 5) is the only Pythagorean triple that has constant differences, so 15, 16, 17 cannot be a right triangle. (It is very nearly an equilateral triangle.)
A right triangle with same-length sides will have a hypotenuse that is √2 times that length, so no right triangle will have two equal integer legs and an integer hypotenuse.
The lengths 15, 18, 33 form a straight line, not even a triangle.
__
For those who insist on seeing an equation:
15^2 +20^2 = 225 +400 = 625 = 25^2 . . . 15, 20, 25 will form a right triangle
Can someone show me an example of an equation in point slope form. I don't need an explanation just literally any equation in point slope form please.