Answer:it would also be 20:
Step-by-step explanation:they have to be equal
What value of x is in the solution set of 9(2x+1) <9x-18?
Answer:
x = 0
Step-by-step explanation:
9(2x+1) < 9x - 18
Distribute the 9 through
18x + 9 < 9x - 18
Get like terms on the same sides
9x < -27
Divide both sides by the value in front of the x
x < -3
Hope this helps! :)
two of the ten insist on sitting side-by-side. in how many ways can the ten be seated together in a row?
Hence, there are 725,760 ways to seat the ten people together in a row, taking into account the two individuals who insist on sitting side-by-side.
If two of the ten people insist on sitting side-by-side, we can consider them as a single entity or a pair. So, essentially, we have nine entities (including the pair) to be seated in a row.
The number of ways to arrange these nine entities in a row is 9!, which is the factorial of 9.
However, within the pair, the two individuals can be arranged in 2! = 2 ways.
Therefore, the total number of ways to seat the ten people together, considering the pair as one entity, is 9! * 2!.
Simplifying this expression:
9! * 2! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 * 2 = 725,760
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34x2256+35x2 i need help like bad
Answer: 76774
Step-by-step explanation: (34 x 2256) + (35 x 2) = 76774.
Answer:
76,774
Step-by-step explanation:
Break the question down, and you will get the same answer :)
What is the slope of the graphed line?
Answer:
The slope is 1/3
Step-by-step explanation:
Just use the rise over run method i told you about earlier.
The right point is 3 units higher and 9 units more to the right.
3/9 = 1/3.
i hope this helped :)
Mark this question as brainliest if you think it was the best answer.
This is the right answer.
If a circle is cut from a square piece of fabric, how much fabric would be leftover? Use 3.14 for pi. (round to nearest hundredth).
Answer:
0.22 square units
Step-by-step explanation:
Area of the left over fabric = Area of the square piece - Area of the circle
let the side length of the square piece be 1 unit
Area of the square piece = 1 * 1
Area of the square piece = 1 square units
Area of the circle = πd²/4
d is the diameter of the circle = 1 unit (equivalent to the side length of the square)
Area of the circle = π(1)²/4
Area of the circle = 3.14/4
Area of the circle = 0.785square units
Area of the left over fabric = 1- 0785
Area of the left over fabric = 0.215 square units
Hence the amount of fabric that would be leftover is 0.22 square units
Answer:
0.22 square units
Step-by-step explanation:
Hope this helps
The value of y is directly proportional to the value of x. If y = 65 when x =325, what it is the value of y when x = 30?*
a - 6
b - 35
c - 95
d - 4
What is the surface area of the pyramid?
Answer:
56 inches squared
Step-by-step explanation:
(4x6) ÷ 2 = 12
12 x 4 = 48
4 x 4 = 16
48 + 16 = 56
Kim accidentally leaves the water hose running for half a day the graph represents the loss of water during that time
fifijfjgjgfghj
Step-by-step explanation:
Answer:
We need to see the graph to help you
Step-by-step explanation:
Consider the exponential function f(x) = b^x, where b ≠ 1. Explain WHY the base has such a restriction.
If b = 1, then the function would be a straight line, f(x) = 1 which isn't exponential.
A relationship between two quantities, normally expressed as the quotient of one divided by another. A comparison of two numbers or measurements.
The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio
The relationship that is normally expressed as the quotient of one quantity divided by another is called a ratio. A ratio is a comparison of two numbers or measurements, and it can be written in different ways.
For example, if we have two quantities A and B, the ratio of A to B can be written as
A/B
A:B
"A is to B"
The ratio of A to B tells us how many times A is contained within B, or how many units of A we would need to have to match the amount of B.
Ratios are useful in many fields, such as finance, engineering, and science, where they are used to compare and analyze different quantities and their relationships.
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You sold your car for $1,000 which had cost $1,450. How much did you lose expressed as a %?.
Answer:
45%
Step-by-step explanation:
1,450 - 1,000 = 450
the 450 becomes 0.45
to make 0.45 a percent, we multiply it by 100
0.45 x 100 = 45
45%
Evaluate the limit: Show your work (take the highest power of x term from the numorator and denominator) and justify your answer. If needed, enter oo for [infinity] and oo for −[infinity]
limx→[infinity] −10x²+7x−11/4x-8 =limx→[infinity]
because
• the limit is always stayed as [infinity].
• the limit of −x at infinity is neagtive infinity.
• the limit of a constant is the constant.
• the limit of x at infinity is positive infinity.
• None of the above.
The limit of the function (-10x² + 7x - 11)/(4x - 8) as x approaches infinity is -5/2 Therefore, the correct choice is "None of the above."
To evaluate the limit lim(x → ∞) of the function (-10x² + 7x - 11)/(4x - 8), we need to take the highest power of x from the numerator and denominator.
In this case, the highest power of x in the numerator is x², and the highest power of x in the denominator is x.
To simplify the expression, we divide both the numerator and denominator by x:
lim(x → ∞) (-10x² + 7x - 11)/(4x - 8)
= lim(x → ∞) (-10 + 7/x - 11/x²)/(4 - 8/x)
As x approaches infinity, the terms with 1/x and 1/x² tend to zero, as the reciprocal of a large number approaches zero. Therefore, we can simplify the expression further:
lim(x → ∞) (-10 + 7/x - 11/x²)/(4 - 8/x)
= (-10 + 0 - 0)/(4 - 0)
= -10/4
= -5/2
So, the limit of the function (-10x² + 7x - 11)/(4x - 8) as x approaches infinity is -5/2
Therefore, the correct choice is "None of the above."
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a real estate agent believes that the value of houses in the neighborhood she works in has increased from last year. to test this claim, she randomly selects houses in this neighborhood and compares their estimated market value in the current year to their estimated market value in the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market value of the previous year from the market value of the current year. assume that the values are normally distributed. using a test statistic of t≈7.496, the significance level α
The hypothesis is called the alternative hypothesis test.
According to the statement
We have to explain about the alternative hypothesis.
So, For this purpose, we know that the
The alternative hypothesis is one among ll|one amongst |one in every of} two mutually exclusive hypotheses in a hypothesis test. the choice hypothesis states that a population parameter doesn't equal a specified value.
From the given information:
she randomly selects houses during this neighborhood and compares their estimated market price within the current year to their estimated value within the previous year. suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market price of the previous year from the value of the present year.
Then
the alternative hypothesis test usually suggests that there's an opportunity of variation (difference) within the data observed.
Hence, since we are told the "real real estate agent believes that the values of homes within the neighborhood she works in have increased (the chance of variation) from last year," which "each difference is calculated by subtracting the market price of the previous year from the market price of this year," we are able to reach the conclusion that this can be an example of an alternate hypothesis test.
So, The hypothesis is called the alternative hypothesis test.
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Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.
Number of years:1, 2, 3
Car 1 (value in dollars) 18,500, 17,390, 16,346.60
Car 2 (value in dollars) 18,500, 17,500, 16,500
Part A: What type of function, linear or exponential, can be used to describe the value of each of the cars after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each car to describe the value of the car f(x), in dollars, after x years. (4 points)
Part C: Baxter wants to purchase a car that would have the greatest value in 10 years. Will there be any significant difference in the value of either car after 10 years? Explain your answer, and show the value of each car after 10 years.
Answer:
A) car 1: exponential
car 2: linear
B) car 1: \(f(x)=18500(0.94)^{x-1}\)
car 2: \(f(x)=-1000x+19500\)
C) Yes, there will be a significant difference of $1,100.40 which is approx 10% of the value of the cars after 10 years.
Step-by-step explanation:
Part A
Car 1: exponential as the projected value is not decreasing by the same amount each year
Car 2: linear as the projected value decreases by the same amount each year ($1000)
Part B
Car 1
General form of exponential function: \(y=ab^x\)
a = initial value = 18500
b = growth factor = \(\dfrac{17390}{18500}=0.94\)
\(\implies f(x)=18500(0.94)^{x-1}\)
NB We have to change x to "x-1" since we are told in the table that after 1 year the car's value is 18500.
Car 2
General form of linear function: \(y=mx+b\)
\(m=\dfrac{\textsf{change in} \ y}{\textsf{change in} \ x}=\dfrac{17500-18500}{2-1}=-1000\)
\(y-y_1=m(x-x_1)\)
\(\implies y-17500=-1000(x-2)\)
\(\implies f(x)=-1000x+19500\)
Part C
Car 1 after 10 years: \(\implies f(10)=18500(0.94)^{10-1}=\$10,600.40\)
Car 2 after 10 years: \(\implies f(10)=-1000(10)+19500=\$9,500\)
Difference = 10600.40 - 9500 = 1100.40
Yes, there will be a significant difference of $1,100.40 which is approx 10% of the value of the cars after 10 years.
get it right for brainliest
Answer:
U={1,2,3,4,5,6,7,8,9,}
A={1,3,5,7,9}
B={2,4,6,8}
C={1,2,3,4,5,6}
now,
A∩B={nothing}U c
={1,2,3,4,5,6,7}
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Makers were placed at altitudes of 10 and 15 feet below sea level. Enter the integer that represents the altitude closer to sea level.
Answer:
The answer is 10
Step-by-step explanation:
help me out thankyou
Answer: A
Step-by-step explanation:
I took the test
5. Money market instruments: Federal funds Which of the following are typical federal fund loan denominations? Check all that apply. $750,000
$3,000,000
$9,000,000
$12,000,000
Which of the following are properties of federal funds? Check all that apply. The interbank loan volume outstanding is less than $100 billion. Most loan transactions have a maturity of 1 to 7 days. The federal funds market enables depository institutions to lend or borrow short-term funds from each other at the discount rate. Most loan transactions are for $5 million or more.
Federal fund loan denominations: $750,000, $3,000,000, $9,000,000, $12,000,000.
Properties of federal funds: Interbank loan volume < $100 billion, loan maturity of 1-7 days, enables lending/borrowing at the discount rate, most transactions are not for $5 million or more.
Typical federal fund loan denominations:
- $750,000 (not checked)
- $3,000,000 (not checked)
- $9,000,000 (not checked)
- $12,000,000 (not checked)
Properties of federal funds:
- The interbank loan volume outstanding is less than $100 billion. (checked)
- Most loan transactions have a maturity of 1 to 7 days. (checked)
- The federal funds market enables depository institutions to lend or borrow short-term funds from each other at the discount rate. (checked)
- Most loan transactions are for $5 million or more. (not checked)
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Show why PX=2) = P(X= 3) in a binomial distribution where n = 5 and p=0.5. [3]
P(X = 2) is not equal to P(X = 3)
How to show that P(X = 2) = P(X = 3) in a binomial distribution with n = 5 and p = 0.5?To show that P(X = 2) = P(X = 3) in a binomial distribution with n = 5 and p = 0.5, we need to use the formula for the probability mass function (PMF) of a binomial distribution.
The PMF of a binomial distribution is given by the formula:
P(X = k) = C(n, k) *\(p^k * (1-p)^{(n-k)}\)
where n is the number of trials, k is the number of successes, p is the probability of success, and C(n, k) represents the binomial coefficient.
In our case, n = 5 and p = 0.5. Let's calculate P(X = 2) and P(X = 3) using the formula:
P(X = 2) = \(C(5, 2) * (0.5)^2 * (1-0.5)^{(5-2)}\)
= 10 * 0.25 * 0.125
= 0.3125
P(X = 3) = C(5, 3) * \((0.5)^3 * (1-0.5)^{(5-3)}\)
= 10 * 0.125 * 0.125
= 0.125
As we can see, P(X = 2) = 0.3125 and P(X = 3) = 0.125.
Therefore, P(X = 2) is not equal to P(X = 3) in this specific case of a binomial distribution with n = 5 and p = 0.5.
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If trapezoid Q’U’A’D’ is diluted by the factor of 3/4 with respect to the origin to create trapezoid Q”U”A”D” what are the coordinates of A”?
A. (2,-4)
B.(-2,4)
C. [3/2, -3]
D. [-3/2,3]
Please help me out . :)
Answer:
1080ft cubed
Step-by-step explanation:
The formula is "lenght times width times height."
This question has three parts.
Bruce deposited a certain amount of money in a simple interest bearing savings account.
He neither deposited nor withdrew any money from his account for 4 years.
He kept track of the money in his account by making a graph as shown.
Part A:
What was Bruce’s principle (initial amount deposited)
Part B:
How much interest did Bruce earn after 1 year?
Part C:
What was the interest rate that Bruce’s savings account was earning
Bruce's principle is $140.
The interest that Bruce earned is $9.80
The interest rate that Bruce savings account is 7%.
What is the simple interest?Simple interest is the interest that that is earned a certain amount over a period of time given a principal and the number of years.
Simple interest = amount deposited x time x interest rate.
A graph can be described as a pictorial representation of data. A graph has a y-axis and the x-axis. The y-intercept is a point where the graph touches the y-axis. The y-intercept represents the initial amount that is deposited. The principle is $140.
The slope of the graph represents the rate at which the amount invested increases in value.
Interest Bruce earned after 1 year : change in the slope
149.80 - 140 = $9.80
Interest rate = Interest / (principle x time)
9.80 / (140 x 1) = 0.07 = 7%
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Bailey runs 4/5 of a kilometer each day. How many kilometers does Bailey run in 9 days?
Answer:
7.2 kilometers or 7 and 1/5 kilometers
Answer:
36/5 or 7 1/5 kilometers
Step-by-step explanation:
Step 1:
4/5 × 9 Equation
Step 2:
4/5 × 9/1 Turn 9 into a fraction
Step 3:
36/5 Multiply
Answer:
36/5 or 7 1/5
Hope This Helps :)
Please help what is the answer
Answer: D
Step-by-step explanation:
The degree of the equation is 1.
The reason it's not A is because |x| can be represented as a piecewise function composed of 2 different linear functions.
An advertising company is purchasing a new industrial-sized color printer. The company has been approved for a $75,000 loan at two different
banks. The terms of each loan are:
Offer 1: 4.99% annual simple interest, with a total account balance of $91,529.38 after a 53-month term
Offer 2: 3.5% annual interest compounded monthly for a 62-month term
Assuming no payments are made, what is the difference in the account balances at the end of the loan terms. Round your answer to the nearest
penny.
O $1,624.49
$1,686.87
$1,894.02
O $2,207.67
The difference in the account balances at the end of the loan terms is given as follows:
$1,686.87.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameters for the offer 2 are given as follows:
P = 75000, r = 0.035, n = 12, t = 62/12.
Hence the balance of the offer 2 is given as follows:
B = 75000 x (1 + 0.035/12)^(12 x 62/12)
B = $89,842.51.
The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:
91529.38 - 89842.51 = $1,686.87.
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Which of the following numbers is closest to 10?
O A. /102
O B. /97
O C. /98
OD. / 99
Answer:
99
Step-by-step explanation:
Did the quiz
I will give 30 points if u help now
Answer:
3. x=16
4. x=51
Step-by-step explanation:
3. 3x-8=x+24
2x=32
x=16
4. 2/3(x+27)= 180-(3x-25)
2/3x+18=180-3x+25
11/3x=187
11x=561
x=51
Step-by-step explanation:
Excercise 3:
By Alternate Exterior angles,
(x + 24)° = (3x - 8)°.
=> 2x = 32, x = 16.
Excercise 4:
By C-angles,
2/3 * (x + 27)° + (3x - 25)° = 180°.
=> 2x/3 + 18 + 3x - 25 = 180
=> 11x/3 = 187
=> x = 187 * (3/11) = 51.
Can you abstractly square the number, "0" ?
Answer: No, you cannot.
Step-by-step explanation: A square number cannot be a perfect number.
The numbers: 0, 1, 5, 14, 30, 55, 91, 140, 204, 285, 385, 506, 650, 819, 1015, 1240, 1496, 1785, 2109, 2470, 2870, 3311, 3795, 4324, 4900, 5525, 6201 are examples of perfect numbers.
Ok so i need help to connect these lines i will mark as branliest pls answer as fast as possible
Answer:
12
Step-by-step explanation:
Mark brainliest pls
Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a) 2 sin(16°) cos(16) Remember to use a degree symbol. (b) 2 sin(40) cos(40) Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) tan(0) --
Using Double-Angle Formulas, 2 sin(16°) cos(16°)= sin(32°), 2 sin(40°) cos(40°) = sin(80°)., tan(0) = 0.
To simplify the expressions using Double-Angle Formulas and solve the equation.
(a) 2 sin(16°) cos(16°)
Using the Double-Angle Formula for sine: sin(2x) = 2sin(x)cos(x), we can rewrite the expression as:
sin(2 * 16°) = sin(32°)
So, the simplified expression is sin(32°).
(b) 2 sin(40°) cos(40°)
Using the same Double-Angle Formula for sine: sin(2x) = 2sin(x)cos(x), we can rewrite the expression as:
sin(2 * 40°) = sin(80°)
So, the simplified expression is sin(80°).
Now, let's solve the given equation:
tan(0) = 0
There is no need to provide a comma-separated list of answers because tan(0) is always equal to 0.
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