Answer:
Exact Form:
-1/2
Decimal Form:
0.5
Step-by-step explanation:
turn 0.25 into a decimal and there you go!
0.25 = 1/4
-3/4 + 1/4 = -2/4 = -1/2
Your answer should be -1/2 or, in decimal form, -0.5
If the required reserve ratio is 10 percent, currency in circulation is $1,200 billion, checkable deposits are $1,600 billion, and excess reserves total $2,500 billion, then the m1 money multiplier is.
If the required reserve ratio is 10 percent, currency in circulation is $1,200 billion, checkable deposits are $1,600 billion, and excess reserves total $2,500 billion
Given that
Reserve ratio is 10 percent
Currency in circulation is $1,200 billion
Checkable deposits are $1,600 billion
Excess reserves total $2,500 billion
Here we are calculating M1 measure of money supply
C: Currency in circulation
D: Checkable Deposits
M1=C+D = 1200+1600= 2800
C: Currency in circulation
D: Checkable Deposits
Currency Deposit Ratio= C/D = 1200/1600 = 0.75
ER: Excess Reserves
CD: Checkable Deposits
Excess Reserve Ratio= ER/CD= 2500/1600 = 1.56
The formula for the M1 money multiplier is:
M1 money multiplier= M1/MB
M1 money multiplier= C+D / R+C
M1 money multiplier= C+D / q∗D+ER+C
M1 money multiplier= (1,200+1,600) / (0.1∗1,600+2,500+1,200)
M1 money multiplier= 0.73
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Find the exact values of the remaining five trigonometric functions of theta. Suppose theta is an angle in the standard position whose terminal side is in Quadrant III and sec theta = -13/12
Answer:
C
Step-by-step explanation:
We know that secant is the same as \(\frac{1}{cos}\) , so knowing that we can immediately find cosΘ by flipping the given secant value to be \(\frac{12}{-13}\) . Since only C has this for cosΘ, this is your answer. However, if you wanted to check further using a triangle. Using the knowledge that secant is \(\frac{1}{cos}\) and cosine is adjacent over hypotenuse (SOH CAH TOA), we can find that our hypotenuse is -13 and the adjacent side is 12. From there we can find the remaining functions using 5 as your opposite (given in the solutions) and SOH CAH TOA for each sine, cosine and tangent, flipping each for cosecant and cotangent.
Help me solve and show my way
1. The correct exponential function for each graph is
a. f(x) = 2ˣ is graph (III) b. f(x) = 2⁻ˣ is graph (I) c. f(x)= -2ˣ graph (II) D. f(x) = -2⁻ˣ is graph (IV)
2. The evaluated exponential functions are;
a. f(1) = 1 b. f(-1) = 0.1 c. f(0) = 0.3
3. The exponential function for the graph is f(x) = \(\frac{1}{2}^x\)
4. The model for the rate population is N(t) = 320 × \(2^{t}\) . After 8 years, the population will be 81,920.
5. The compounded interest after 2 years: 2628.17. After 3 years 2694.7. After 6 years 2904.57
6. The compounded interest after a) 3 years = 4221.81 b) 6 years = 5092.47 c) 9 years = 6142.69
7. At time t = 0, the mass is 13 kg. After 45 days, the mass is approximately 6.62 kg
How do we evaluate the exponential functions?1. For the exponential function,
a. f(x) = 2ˣ has a coordinate (0,1). f(1) = 2⁰ = 1 It matches (III)
b. f(x) = 2⁻ˣ When x = -1, f(x) = 2, x = 0, f(x) = 1, x = 1, f(x) = 0.5; x = 2, f(x) = 0.25. If you plot this coordinates, you will see the graph falls from left to right
c. f(x)= -2ˣ it should pass through (0, -1), x = -1, when f(x) = -0, x = 0, f(x) = -1, x = 1, f(x) = -2
d. f(x) = -2⁻ˣ will pass through the point (0, -1). When x = -1, f(x) = -2; x = 0, f(x) = -1; x = 1, f(x) = -0.5. The graph should rise from left to right.
2. If the exponential function is f(x) = 3ˣ⁻¹ then we evaluate
f(1) = 3¹⁻¹ = 3⁰ = 1
f(-1) = 3⁻¹⁻¹ = 3⁻² = 1/3² or 0.1
f(0) = 3⁰⁻¹ = 3⁻¹ = 1/3 or 0.3
3. For the graph whos exponential function should be in the form f(x) = aˣ, we can find the actual function by looking at the coordinated (-3, 8)
a⁻³ = 8
a = \(8^1/-3\)
a = 1/2
f(x) = (1/2)ˣ
4. The mouse population can be modeled as
N(t) = N₀ × (1 + \(r)^{t}\) ⇒ N(t) = 320 × \(2^{t}\)
After 8 years ⇒ N(8) = 320 × 2⁸
N(8) = 320 × 256
N(8) = 81920
5. We use the formula A = P(1 + \(r/n)^{nt}\)
$2500 invested at an annual interest rate of 2.5% compounded daily,
After 2 years (t = 2): After 3 years
A = 2500(1 + 0.025/365)⁽³⁶⁵ˣ²⁾ A = A = 2500(1 + 0.025/365)⁽³⁶⁵ˣ³⁾
A = 2628.17 A = 2694.7
After 6 years
A = 2500(1 + 0.025/365)⁽³⁶⁵ˣ⁶⁾
A = 2904.57
6. For a continuous compounded interest, we use the formula;
A = P × \(e^{rt}\)
the principal is $3500, the interest rate is 6.25%, or 0.0625 as a decimal.
a) After 3 years: After 6 years: After 9 years
A = 3500 × \(e^{0.0625 * 3}\) A = 3500 × \(e^{0.0625 * 6}\) A = 3500× \(e^{0.0625 * 9}\)
A = 4221.81 A = 5092.47 A = 6142.69
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a building is 68 meters high. an elevator is halfway between the ground floor and the top floor. what is the value of x?
Answer:
\(x = 34m\)
Step-by-step explanation:
Given
\(Height = 68\ metres\)
Required
Determine the halfway
Represent the halfway with x
\(x = \frac{1}{2} * Height\)
Substitute 68 for Height
\(x = \frac{1}{2} * 68m\)
\(x = \frac{68m}{2}\)
\(x = 34m\)
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The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
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Which expression represents 10 times the sum of 2 and 1?
This is hard I’d love help
The sales department has determined that the average purchase value for their catalog business is normally distributed with a mean of $41.34 and a standard deviation of $13.54. What is the purchase value at the 30th percentile
Answer:
The purchase value at the 30th percentile=34.24
Step-by-step explanation:
We are given that
Mean,\(\mu=41.34\)
Standard deviation,\(\sigma=13.54\)
We have to find the purchase value at the 30th percentile.
\(xth percentile =\mu+Z\times \sigma\)
Where Z is the critical value of x% confidence interval
x=30
Critical value of Z at 30% confidence interval=-0.5244
Using the formula
30th percentile=\(41.34+(-0.5244)(13.54)\)
30th percentile=\(41.34-7.100376\)
30th percentile\(\approx 34.24\)
Hence, the purchase value at the 30th percentile=34.24
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
A square has sides of 7.5 cm, measured correctly to 1 d. p.
What are the upper and lower bounds for the length of the sides?
Lower bound
cm
Upper bound
cm
What are the lower and upper bounds for the area of the square?
Round your answers to 1 d. p.
Lower bound
cm
Upper bound
cm
Answer:
1.45cm
Step-by-step explanation:
I just added
A square of the length of the sides are:
The upper bound is 7.6.
The lower bound is 7.4
The area of the square:
The value of upper bound is :
\(7.6^2 = 54.76 cm^2\)
The value of lower bound is:
\(7.4^2= 57.76cm^2\)
We have the following information from the question is:
A square has sides of 7.5 cm, measured correctly to 1 d. p.
We have to calculate the Upper and lower bounds for the length of the sides.
and, the lower and upper bounds for the area of the square.
Now, According to the question:
1 d. p. = 1 decimal place.
A square has side is 7.5 cm
The upper bound is going to be 7.5 plus . 1, which would be 7.6.
The lower bound is going to be 7.5 minus . 1, which is going to be 7.4
Now, The lower and upper bounds for the area of the square is:
We know the
area of square = side^2
So, the value of upper bound is 7.6
\(7.6^2 = 54.76 cm^2\)
Similarly, The value of lower bound is:
\(7.4^2= 57.76cm^2\)
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If f(x)=x^(2 )+4 then verify (fof^(-1))(x)=(f^(-1) of)(x)=x. (Consider the positive values only)
Answer:
Step-by-step explanation:
If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved
What is a function?A relation is a function if it has only One y-value for each x-value.
Composite functions are when the output of one function is used as the input of another.
If f(x)=x²+4
Then we have to prove f⁻¹of(x)=f⁻¹(f(x)
Let us consider fof⁻¹(x)
f(f⁻¹(x))
x
So (fof⁻¹(x))=x
Now f⁻¹of(x)=f⁻¹(f(x)
=x
Hence, If f(x)=x²+4 then (fof⁻¹)(x)=(f⁻¹of)(x)=x is proved
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The sum of two consecutive even integers is ninety-four. Find the
numbers.
Answer:
46, 48
Step-by-step explanation:
The average of the two integers will be the odd integer that lies between them. The average of the two integers is half their sum.
SolutionThe average is ...
n = 94/2 = 47
The two even integers are (n-1) = 46, and (n+1) = 48.
Write how many tens. Then add.
60+ 10 =
Enter the correct numbers in the boxes.
Tens + tens = tens
Answer:
60 contain 6 tens
then
60+10
contain
7 tens
the
correct answer
is
7 tens
Answer:
6 tens + 1 ten = 7 tens
Step-by-step explanation:
6 tens = 60
1 ten = 10
7 tens = 70
find the volume……,,..,,,,,…,,,,..
Answer:
I am pretty sure the answer is 27.02.
Step-by-step explanation:
Hope this helps!
The histogram shows the result of a survey about the number of hours students watch television on the weekend.
How many students participated in the survey?
The number of students who participated in the survey, based on the histogram showing the number of hours students watch television on the weekend, is 125.
What is a histogram?A histogram is a pictorial or graphical representation of categorical data, proportional to the frequency of a variable and whose width is equal to the class interval.
The number of students who watched between 0 - 4 hours = 20
The number of students who watched between 5 - 9 hours = 40
The number of students who watched between 10 - 14 hours = 30
The number of students who watched between 15 - 19 hours = 20
The number of students who watched between 20 - 24 hours = 15
The total number of students who participated = 125
Thus, using the histogram, the total number of students who participated in the survey was 125.
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HELP PLSS I NEED HELP WITH THIS
Answer:
The answer is measles
Step-by-step explanation:
a rectangular park is 16 miles long and 8 miles wide. how long is the pedestrian route that runs diagonally across the park
Answer:
17.89 miles long.
Step-by-step explanation:
The pedestrian route that runs diagonally across the rectangular park is the hypotenuse of a right triangle whose legs are the length and width of the park. We can use the Pythagorean theorem to find the length of this diagonal route.
According to the Pythagorean theorem, the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of its legs. In this case, one leg of the right triangle is 16 miles long and the other leg is 8 miles long. So, we have:
d² = 16² + 8²
d² = 256 + 64
d² = 320
d = √320
d ≈ 17.89
So, the pedestrian route that runs diagonally across the park is approximately 17.89 miles long.
I need help please!!
Answer:
Sorry I could only find the answer to the second part.
y=56x
Write an equation of the line that passes through the point (2, 3) with slope 3
Answer:
y=3x-3
Step-by-step explanation:
-|8-15| what is the answer
Answer:
-7
Step-by-step explanation:
8-15 = -7 but since it's an absolute value, it is 7 and then you add the negative sign in front since it is not in the absolute value.
this month the middle school media newspaper has 25 pages. Twenty-five schools order the paper for each of their students. Each of the students has 25 classrooms with 25 students in each classroom. What expression with an exponent shows the total number of pages in all of the newspapers?
Answer:
56
Step-by-step explanation:
7 times 8=56
9/8 into a proper fraction
Answer:
1 1/8
Step-by-step explanation:
Answer:
1 1/8
Step-by-step explanation:
hope this is right
Suppose that half of the population of a town consumeKsh of rice. One hundred investigatoKsh are appointed to find out it's truth. Each investigator interviewed 10 individuals. How many investigatoKsh do you expect to report three or less of the people interviewed consumeKsh of rice?
The expected number of investigators who will report that 3, 4, or 5 people are consumers of rice is 57 investigators.
How to find the investigators ?The binomial distribution B(n, p) describes the behavior of a count X of successes in n independent trials, each with its own boolean-valued outcome: success (with probability p) or failure (with probability q = 1-p).
We want to find the probability that an investigator reports 3, 4, or 5 people are consumers of rice. The probability P(X=k) for a binomial distribution is given by the formula:
P(X=k) = C(n, k) * p^k * q^(n-k)
So we want to find P(X=3) + P(X=4) + P(X=5) :
P(X=3) = C(10, 3) * (0.5)^3 * (0.5)^(10-3)
= 0.117
P(X=4) = C(10, 4) * (0.5)^4 * (0.5)^(10-4)
= 0.205
P(X=5) = C(10, 5) * (0.5)^5 * (0.5)^(10-5)
= 0.246
The expected number of investigators who will report three or less of the people interviewed consumed is :
= P(X=3) + P(X=4) + P(X=5)
= 0.117 + 0.205 + 0.246
= 0.568
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Full question is:
Suppose that half the population of a town are consumers of rice. Each of 100 investigators interviews 10 individualas to see wheather they are consumers of rice. How many investigators do you expert to report that three or more but less than six people are consumers of rice?
Multiply and reduce to lowest terms. Convert into a mixed number if necessary.
Answer correctly you get brainliest.
Answer:
Step-by-step explanation:
44/8
= 5 whole 4 by 8
= 5 4/8
Answer:
5/2 = 2.5
Step-by-step explanation:
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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study the graph to see how grasshoppers of three different body colors survive predation by blue jays in a mostly green environment. grasshopper numbers are shown before and after blue jays preyed on them. which statements are supported by the data in the table? choose three correct answers.
The statement A and statement B are supported by the data in the table. The solution has been obtained by studying the bar graph.
What is a bar graph?
Bar graphs or bar charts are visual depictions of groups of data that are made up of vertical or horizontal rectangular bars with lengths that are equal to the data's measure.
We are given a graph showing grasshopper numbers before and after blue jays preyed on them.
From the graph, we can observe that there is no change in the number of green grasshoppers. This means that blue jays did not prey them.
Also, there is a great fall in the brown grasshoppers which means that they are most visible to the blue jays.
Hence, the statement A and statement B are supported by the data in the table.
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The complete question has been attached below
!!SOMEBODY PLEASE HELP ME OUT!!
What is the slope of the line??
Answer:
i think it's -1 / -1
nut i'm not sure so if its wrong then sorry , and don't thank's me...
In a certain isosceles right triangle, the altitude to the hypotenuse has length 6. What is the area of the triangle?
Length is 6 area is 000 it most be answer you please write in your copy.
The table shows three unique functions.
x f(x) g(x) h(x)
-2
4
6
-3
-1
1
2
1
4-
2
1
1
55 752
6
8
1
Hit
6:
Mark this and return
-25
Which statements can be used to compare the
characteristics of the functions? Select two options.
Of(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
Oh(x) has a range of all negative numbers.
All three functions share the same domain.
Answer:
The statements that can be used to compare the characteristics of the functions are:
1. g(x) has the greatest maximum value.
2. All three functions share the same domain.
Explanation:
- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.
- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.
- We can see that g(x) has the highest maximum value among the three functions, which is 8.
- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.
- We cannot say anything about the domain or range of f(x) based on the given table.
- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 4340 seats. The students left 2387 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer: 45%
Step-by-step explanation: