Answers
Answer:
f(f(5)) = 11
Step-by-step explanation:
\(f(f(5)) \\ from \: the \: table \: f(5) = 9 \\ so \: f(f(5)) = f(9) \\ also \: from \: the \: table f(9) = 11 \\ so \: f(f(5)) = 11\)
I hope that is useful for you
Related Questions
4.25 x 10^5 is more than, the same as, or less than 425000?
Answers
Answer:
Your answer is " the same as "
Step-by-step explanation:
Answer:
same as
Step-by-step explanation:
10^5 is 100000, and 100 times 4.25 is 425, so it must be 425000! You're welcome!
John worked 18hrs last week. He earned $171. What was his hourly rate? Explain
Answers
Explanation: To calculate his hourly pay you have to divide $171 by 18 hrs
171/18 is 9.5
Now just convert that to dollars and you’ll get $9.50
Answer:
$9.5
Step-by-step explanation:
First, you have to find the unit rate for the hourly rate. So just divide 171 by 18 and you get 9.5 So John made $9.50 per hour.
You deposit $5000 in an account earning 3% interest compounded monthly. How much will you have in the
account in 10 years?
Answers
Compound interest, also known as interest on principal and interest, is the practice of adding interest towards the principal amount of a loan or deposit.
How does compound interest work?The yearly interest rate is raised to the amount of compounded periods minus one, and the starting principal amount is multiplied by both of these factors. The resulting value is subsequently deducted from the loan's entire original amount.
P = $5,000 for the principle (initial investment)
Annual interest rate equals 0.03 (as a decimal)
t = the number of years (10).
Euler's number is e = 2.718281.
A = the sum at time t, or A = P·(e(rt))
\(\sf A = 5000(2.718281^{(0.03\times10)})\)
\(\sf A = \$6,749.29\)
After 10 years, you'll have $6,749.29 in your account.
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Question #3
Given the following stemplot, determine the maximum value of the original data set.
O 100
8
98
9
0000
Test Scores
5
479
6 146779
7 002557799
8 12223455789
9 000333368
Answers
The maximum value of the original data set is 109.
To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.
Looking at the stemplot:
O 10 | 0 0 8 9 8 9 0 0 0
0 20 | 5 4 7 9 6
0 30 | 1 4 6 7 7 9 7
0 40 | 0 0 2 5 5 7 7 9 9 8
0 50 | 1 2 2 2 3 4 5 5 7 8 9 9
0 60 | 0 0 0 3 3 3 3 6 8
The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".
Therefore, the maximum value of the original data set is 109.
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A (n) = -6 + (n-1)(6)
Answers
Answer: 84
Step-by-step explanation:
Question requires finding the 16th term in this sequence:
= -6 + ( n - 1 )(6)
= -6 + ( 16 - 1) (6)
= -6 + (15 * 6)
= 84
-x2 - 4x + 21
Factorise
Answers
= -6x +21
9514 1404 393
Answer:
-(x -3)(x +7)
Step-by-step explanation:
Apparently, you're supposed to match the given expression with the parts of the identity ...
(x + a)(x + b) = x² +(a +b) +ab
First of all, we notice that the sign of x² in our given expression is negative. So, we factor -1 out of the expression first.
-x² -4x +21 = -(x² +4x -21)
Now, matching the coefficients of x, and the constant to those in our identity, we see ...
a + b = 4 . . . . . coefficients of x
ab = -21 . . . . . . constants
It is relatively easy to find the factors of -21. We are interested in those factor pairs such that the sum is positive:
-21 = -1(21) = -3(7) = -7(3) . . . . at this point the sum -7+3 becomes negative
The factor pair a=-3, b=7 will satisfy ...
a + b = -3 + 7 = 4
ab = (-3)(7) = -21
So, our factorization is ...
-x² -4x +21 = -(x² +4x -21) = -(x -3)(x +7)
As part of their application for a loan to buy Lakeside Farm, a property they hope to develop as a bed-and-breakfast operation, the prospective owners have projected:
Monthly fixed cost (loan payment, taxes, insurance, maintenance) $6000
Variable cost per occupied room per night $ 20
Revenue per occupied room per night $ 75
a. Write the expression for total cost per month. Assume 30 days per month.
b. Write the expression for total revenue per month, first using the general variables, and second including the values of known variables).
c. If there are 12 guest rooms available, can they break even? What would be the profit with 12 rooms?
d. What percentage of rooms would need to be occupied, on average, to break even?
Answers
Answer:
Instructions are below.
Step-by-step explanation:
Giving the following information:
Monthly fixed cost= $6,000
Variable cost per occupied room per night= $20
Revenue per occupied room per night= $75
First, we need to structure the total cost formula:
Total cost= 6,000 + 20*x
x= occupied room
Now, we can find the expression for total revenue:
Revenue= selling price per unit*units - fixed cost - unitary variable cost*units
Revenue= 75*x - 6,000 - 20*x
I assume that the 12 rooms will be occupied for the 30 days:
Revenue= 75*(12*30) - 6,000 - 20*(12*30)
Revenue= $13,800
Finally, we need to determine the break-even point in units:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 6,000 / (75 - 20)
Break-even point in units= 109 rooms
On percentage= (109/360)*100= 30.28%
Blake is going to invest in an account paying an interest rate of 1.5% compounded quarterly. How much would Blake need to invest to the nearest dollar, for the value of the account to reach $910 in 10 years
Answers
Answer:
$783.46
Step-by-step explanation:
Compounded interest rate (quarterly) formula: A = P(1 + r/4)^4t
Simply plug in our known variables and solve:
910 = P(1 + 0.015/4)^4(10)
910 = P(1.00375)^40
910 = 1.16151P
P = 783.464
Answer: 783
Step-by-step explanation:
A store is having a sale on almonds and jelly beans. For 3 pounds of almonds and 8 pounds of jelly beans, the total cost is $34. For 5 pounds of almonds and 2 pounds of jelly beans, the total cost is $17. Find the cost for each pound of almonds and each pound of jelly beans.
Answers
Answer:
Almonds: $2
Jelly Beans: $3.5
Step-by-step explanation:
Let the cost of a pound of almonds be A and the cost of a pound of jelly beans be J.
3A + 8J = 34 (Equation 1)
5A + 2J = 17 (Equation 2)
Use simultaneous equations.
Times equation 2 by 4
4(5A + 2J = 17) = 20A + 8J = 68
(20A + 8J) - (3A + 8J) = 68 - 34
17A = 34
A = 2
3A = 6
34 - 6 = 28
28/8 = 3.5
Checking:
3(2) + 8(3.5)
= 6 + 28
= 34
5(2) + 2(3.5)
= 10 + 7
= 17
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Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
{−2x/3−15y=−6, 10x−6y=−4
Select the correct answer below:
elimination
substitution
Answers
Answer:
I would use elimination in this scenario. Because in both equations there is a coefficient on both variables, it would be difficult to isolate one variable and would leave the equation as a fraction. Instead, use elimination. Multiply the first equation by -15, which changes it to 10x + 225y = -90, and then subtract the second equation, thus cancelling out the 10x's and letting you solve for Y. Hope this helps!
which of these is most likely to weigh 2 kilograms car roast chicken horse egg tea bag
Answers
The item most likely to weigh 2 kilograms is a roast chicken.
Which of them would weight 2 kilograms?
The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.
The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.
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Based upon extensive data from a national high school educational testing program, the standard deviation of national test scores for mathematics was found to be 121 points. If a sample of 256 students are given the test, what would be the standard error of the mean?
Answers
Answer:
The standard error of the mean is 7.56Step-by-step explanation:
The standard error of the mean is defined as the ratio of standard deviation to the square root of the sample size of a data. The standard error of the mean is mathematically expressed as shown below;
\(X = \frac{\sigma}{\sqrt{n} }\)
X is the standard error of the mean
\(\sigma\) is the standard deviation
n is the sample size.
Given;
\(\sigma = 121\\n = 256\)
On substitution into the formula we have;
\(X = \frac{121}{\sqrt{256} }\)
\(X = \frac{121}{16} }\\\)
X ≈ 7.56
Find the set An B.
U = {1, 2, 3, 4, 5, 6, 7, 8)
A = {1, 2, 3, 4)
B = {1, 2, 6}
Answers
Step-by-step explanation:
I assume A n B means the intersection of the sets A and B.
that means all the elements that are in A and in B.
that is the set {1, 2}
What is 631,056.11 to base 10
Answers
Base 10 is a decimal numbering system based on the powers of ten, with ten digits that can be used to represent any number. It is widely used in science and engineering, and 631,056.11 is already in base 10 and does not require conversion.
How to determine the base?Base 10 is the decimal numbering system that we use on a daily basis, and it is based on the powers of ten. There are ten digits in base ten (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) that can be used to represent any number, and the position of the digits determines the value of the number.
The science and engineering fields frequently employ the logarithm base 10, also known as the decimal or common logarithm. The normal logarithm has the number e ≈ 2.718 as its base; due to its extremely straightforward derivative, its application is widespread in physics and mathematics.
As a result, 631,056.11 is already in base 10 and does not require conversion.
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The graph at the right illustrates the rate at which Dave and Joe are saving money.
a. Estimate the solution to the system.
b. Explain what this means in the context of
the saving money scenario.
Answers
This problem can be solved using a system of equations.
What is the system of equations?
A set or group of equations that are solved collectively is referred to as a system of equations. Both algebraic and graphical solutions are possible for these equations. The point of intersection of two lines represents the system of equations' solution.
Line 1
Taking two points on this line (0,300) and (4,450)
Equation of line y = mx+c
m = \(\frac{450 - 300}{4 - 0}\) = 37.5
y = 37.5x + c
Substituting (0,300) in the above equation
300 = 37.5 * 0 + c
c = 300
Line equation y = 37.5x + 300
Line 2
Taking two points on this line (0,400) and (5,500)
m = \(\frac{500 - 400}{5 - 0}\) = 20
y = 20x + c
Substituting (0,400) in the above equation
400 = 250* 0 + c
c = 400
Line equation y = 20x + 400
a) The solution of the system is when both lines coincide
37.5 x + 300 = 20x + 400
17.5 x = 100
x = 5.7
y = 20 * 5.7 + 400 = 514
Therefore the solution of the system is ( 5.7 , 514)
b) In terms of saving money scenario. This means that Dave and Joe have the same amount of savings at this point.
Therefore these are the solutions to the above system of equations.
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An equation is a statement that is true for every value in the domain.
O True
O False
Answers
explaination: hope this helped
Answer:
the answer is FALSE the other answer is wrong
Step-by-step explanation:
i took a test
Find the slope of the line to the right.
Answers
9514 1404 393
Answer:
-3/2
Step-by-step explanation:
Points are marked 2 units apart on the x-axis. Between a given point and the one to its right, the y-value changes by -3. The slope is ...
slope = rise/run = (change in y)/(change in x)
slope = -3/2
During practice, the players on a softball team warm up by running the bases. This graph shows the relationship between the number of hours, x, of practice the players attend and the number of minutes, y, the players spend running the bases.
How many minutes do the players spend running the bases during each hour of practice?
Answers
The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
In the context of this problem, the variables x and y are given as follows:
Variable x: number of hours.Variable y: time spent running the bases.The equation for the constant is given as follows:
k = y/x.
Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.
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Hi help please quick
Answers
Answer:
Initial amount: 934 g
After 80 years: 147 g
Step-by-step explanation:
\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)
The initial amount occurs at t = 0.
\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)
\( A(0) = 934 (\dfrac{1}{2})^0 \)
\( A(0) = 934 \times 1 \)
\( A(0) = 934 \)
After 80 years, t = 80.
\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)
\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)
\( A(80) = 934 (0.15749) \)
\( A(80) = 147 \)
Fill in the blank
In the expression 7+(2x6), the term (2x6) is the _ of two _ 2 and 6.
words to fill the blank
-power
-sum
-different
-ratio
-base
-coefficient
-factors
-product
-variable
-terms
-quotient
Answers
Answer:
..................................................................................
Step-by-step explanation:
hahaahahah
A number is chosen from the set {1, 2, 3, 4,..., 18). What is the probability that the number is a factor of 6?
• 1/2
0 2/3
0 2/9
0 3/8
0 4/5
Answers
Answer:
2/9
Step-by-step explanation:
set: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 (18 numbers)
factors of 6: 1,2,3,6 (4 numbers)
probabilty that the number is a factor of 6: 4/18 = 2/9
The commutative property does not work for which operations?check all that applys.
Answers
Answer: The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.
Step-by-step explanation:
Hope this is right!!!!
Hello, I need help with this 8th Grade Math Problem. Thank You!
Answers
Step 1;
To find the slope of a line, pick two points from the line and find the slope.
Points ( 2, 1 ) , (10 , 13 ) { Reason because the two points have both x and y coordinates)
Step 2
\(\begin{gathered} Slope\text{ formula m = }\frac{y_2-y_1}{x_2-x_1} \\ x_1\text{ = 2} \\ y_1=1_{} \\ x_2\text{ = 10} \\ y_2\text{ = 13} \\ m\text{ = }\frac{13\text{ - 1}}{10\text{ - 2}} \\ \text{m = }\frac{12}{8} \\ m\text{ = }\frac{3}{2} \end{gathered}\)The slope of the line = 3/2
Step 3:
Equation of the line:
To find the equation of a line, use two-point forms equation of a line
\(\begin{gathered} \frac{y-y_1}{x-x_1\text{ }}\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ \frac{y\text{ - 1}}{x\text{ - 2}}\text{ = }\frac{13\text{ - 1}}{10\text{ - 2}} \\ \frac{\text{y - 1}}{x\text{ - 2}}\text{ = }\frac{3}{2} \\ 2(y\text{ - 1) = 3(x - 2)} \\ 2y\text{ - 2 = 3x - 6} \\ 2y\text{ = 3x - 6 + 2} \\ \text{2y = 3x - 4} \end{gathered}\)Step 4:
To find b, plug x = 6 and y = b in the equation of a line formula.
\(\begin{gathered} 2y\text{ = 3x - 4} \\ 2b\text{ = 3}\times\text{6 - 4} \\ 2b\text{ = 18 - 4} \\ 2b\text{ = 14} \\ b\text{ = }\frac{14}{2}\text{ = 7} \\ \text{b = 7} \end{gathered}\)Step 5
To find a, plug x = a and y = 10 in the equation of a line formula.
\(\begin{gathered} 2y\text{ = 3x - 4} \\ 3\text{ }\times\text{ 10 = 3a - 4} \\ 30\text{ = 3a - 4} \\ 3a\text{ = 30 + 4} \\ 3a\text{ = 34} \\ \text{a = }\frac{34}{3} \end{gathered}\)Help pleaseee!! I will give brainlist
Answers
The length FE in the circle is 6 units
The arc AE has a measure of 64 degrees
Calculating the length FEFrom the question, we have the following parameters that can be used in our computation:
The circle
Given that the lengths from the center to either chords are equal
This means that
FE = 6 units
Calculating the measure of arc AEFor the other circle, we have
BC = 58 degrees
AB = ED
The arc AE is calculated as
AE = 180 - BC - ED
Where
AB = ED = BC = 58 degrees
So, we have
AE = 180 - 58 - 58
Evaluate
AE = 64
Hence, the arc AE is 64 degrees
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Fill in the table 'using this function rule.
y = -5x+2
x
-1
0
1
2
y
0
0
0
X
4
S
Answers
Answer:
7, 2, -3, -8
Step-by-step explanation:
y = -5x + 2 Substitute in -1 for x
y = -5(-1) + 2
y = 5 + 2
y = 7
y = -5x + 2 Substitute in 0 for x
y = -5(0) + 2
y = 0 + 2
y = 2
y = -5 + 2 substitutes in 1 for x
y = -5(1) + 2
y = -5 + 2
y = -3
y = -5x + 2 Substitute in 2 for x
y = -5(2) + 2
y = -10 + 2
y = -8
Helping in the name of Jesus.
I WILL GIVE 5 STARS, BRAINLIEST AND A HEART TO WHOEVER HELPS ME
IM BEGGING YOU PLEASE
(Please answer all the questions)
Answers
Answer:
1. Group B
2. Group A
3. The median.
Answer:
1. Group B has the lowest age range out of both groups. Group B has at least 18 students under 16 and Group A has ages from 5 through 30.
2. Group A has more of a variability of ages because it is more scrambled than Group B. Group B had more students that had ages that were all close to each other.
3. I think it's best to use the median because it measures the age above which is found. If we use the mean, it will only be calculated by adding all numbers together and then dividing the sum of the numbers by the number of numbers.
74752/360 simplified as a whole fraction
Answers
Answer:
\(\frac{9344}{45}\)
Step-by-step explanation:
\(\frac{74752}{360}\)
Simplify by 8, and we get
\(\frac{9344}{45}\)
We can't simplify any more, so the answer is \(\frac{9344}{45}\)
The required answer is the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.
To simplify the fraction 74752/360 as a whole fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both of them by it.
Step 1: Find the GCD of 74752 and 360. The GCD can be calculated using various methods, such as prime factorization or the Euclidean algorithm. In this case, use the Euclidean algorithm.
Let's find the GCD using the Euclidean algorithm:
Divide 74752 by 360:
74752 ÷ 360 = 207 R 272
Divide 360 by 272:
360 ÷ 272 = 1 R 88
Divide 272 by 88:
272 ÷ 88 = 3 R 8
Divide 88 by 8:
88 ÷ 8 = 11 R 0
Since the remainder is 0, the GCD is the last non-zero remainder, which is 8.
Step 2: Divide both the numerator and denominator of the fraction by the GCD.
74752 ÷ 8 = 9344
360 ÷ 8 = 45
The simplified whole fraction is 9344/45.
A whole fraction refers to a fraction in which the numerator is equal to or greater than the denominator. It represents a whole number and a fraction together. For example, 3 1/4 is a whole fraction where the whole number part is 3 and the fractional part is 1/4.
Hence, the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.
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I spent half of my savings on cloths and half of what was left on shoes. if I had#100.00 balance, what had I at first?
Answers
Answer:
Step-by-step explanation:
50$
alex is working to simplify 5 x (-8) x 2
Answers
Answer: -80
Step-by-step explanation:
5*(-8)= -40
-40*2+= -80
Hope this helps you!
Suppose the sequence StartSet a Subscript n Baseline EndSet is defined by the recurrence relation a Subscript n plus 1equalsnegative 2na Subscript n, for nequals1, 2, 3,..., where a1equals5. Write out the first five terms of the sequence.
Answers
Answer:
-10, 40, -240, 1,920 and -19, 200
Step-by-step explanation:
Given the recurrence relation of the sequence defined as aₙ₊₁ = -2naₙ for n = 1, 2, 3... where a₁ = 5, to get the first five terms of the sequence, we will find the values for when n = 1 to n =5.
when n= 1;
aₙ₊₁ = -2naₙ
a₁₊₁ = -2(1)a₁
a₂ = -2(1)(5)
a₂ = -10
when n = 2;
a₂₊₁ = -2(2)a₂
a₃ = -2(2)(-10)
a₃ = 40
when n = 3;
a₃₊₁ = -2(3)a₃
a₄ = -2(3)(40)
a₄ = -240
when n= 4;
a₄₊₁ = -2(4)a₄
a₅ = -2(4)(-240)
a₅ = 1,920
when n = 5;
a₅₊₁ = -2(5)a₅
a₆ = -2(5)(1920)
a₆ = -19,200
Hence, the first five terms of the sequence is -10, 40, -240, 1,920 and -19, 200