Answer:
36
Step-by-step explanation:
Substitute a and b
3|-9-3|
3|6|
Multiply your answer and you get 36
Hello! if anyone could help me I'd really appreciate it!. Thanks !
Answer:
the first one i think
Step-by-step explanation:
-3 is the y-intercept and that i all i got, sorry :(
Answer:
Its the first one! <3
Find (g∘k)(1)for g(x)=11x2−4x+6and k(x)=4x−11. (g∘k)(1)=
The first step you have to follow is to find k(1) by replacing each x in k(x) for 1:
\(k(1)=4(1)-11=4-11=-7\)Now, find g(k(1)), it means, g(-7):
\(g(-7)=11(-7)^2-4(-7)+6=573\)(g°k)(1)=573.
Find the slope of the line through each pair of points using the formula.
(17, -19) (4, -15)
Answer:
-4/13
Step-by-step explanation:
(17 , -19) ; (4 , -15)
Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
\(= \frac{-15-[-19]}{4-17}\\\\=\frac{-15+19}{4-17}\\\\=\frac{4}{-13}\\\\= \frac{-4}{13}\)
Answer:
- 4 / 13
Step-by-step explanation:
Algebra work is easy :)
good luckkk
A bank offers a CD that pays a simple interest rate of 11.5% how much how must you put in this CD now in order to have 3500 for a home-entertainment center in 5 years ( round up to the nearest cent) .
You must put 59.83 cents into the CD to have an amount of 3500 cents for a home-entertainment center in 5 years.
What is Simple Interest?
Calculating the amount of interest charged on a sum at a particular rate and for a certain duration of time is done using Simple Interest (SI). Contrary to compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.To calculate simple interest, multiply the daily interest rate by the principle and the number of days between payments.What is Amount?
When someone takes out a loan from a bank, they are required to pay it back, and the amount they pay back is referred to as Amount (A).Amount (A) is the total sum of Principal (P) and Simple Interest (SI). It is calculated using the formula, \(A=P(1+RT)\), where R and T are the Rate of Interest and Time Duration respectively.Here, the Simple Interest Rate (R) is given as 11.5%.
The Amount (A) is equal to 3500 cents.
The Time Duration (T) is given as 5 years.
Using the equation for calculating Amount, we get
\(A=P(1+RT)\\\implies 3500 = P(1+11.5 \times 5)\\\implies 3500 = 58.5P\)
Solving, we get
\(P=59.83\)
Therefore, you must put 59.83 cents into the CD to have an amount of 3500 cents for home-entertainment center in 5 years.
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PLEASE HELPP!!! (look at pic)
Answer:
1/5 miles per minute
Step-by-step explanation:
1/10 is equivalent to 1/2 so you multiply both by 2:
1/5 is equivalent to 1
Angle FGH is a right angle.
The measure of angle JGH is 50.
The measure of angle FGJ is
What is the value of x?
Answer:
since its a triangle then angles have to be 90 (the right angle) and 50 (which is given)
180-90-50 = 40
Answer = 40
Step-by-step explanation:
guysssss plzzz help
Answer:
x=32
Step-by-step explanation:
(2x+60)+(3x-40)=180
5x+20=180
5x=160
x=32
An icecream shop has 10 flavors. One can choose 4 different
flavors. What is the total number of possible flavor
combinations?
a.
252
b.
462
c.
120
d.
330
e.
210
2.
An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.
In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.
Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors
.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).
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On April 5, 2019, Janeen Camoct took out an 65% loan for $16,000. The loan is due March 9, 2020. Janeen’s terms are ordinary interest. Sabrina Bowers took out the same loan as Janeen. Sabrina’s term, however, are exact interest. (Ignore leap year) (Use days in a year table.)
a. What is Sabrina's difference in interest? (Do not round intermediate calculations. Round your answer to the nearest cent.)
b. What will she pay on March 9, 2020? (Do not round intermediate calculations. Round your answer to the nearest cent.)
Sabrina's difference in interest is approximately $7,050.68, and she will pay approximately $23,050.68 on March 9, 2020.
To calculate Sabrina's difference in interest and the amount she will pay on March 9, 2020, we need to consider the interest calculations for both Janeen and Sabrina.
a. Sabrina's Difference in Interest:
Since Sabrina's terms are exact interest, the interest is calculated based on the exact number of days.
First, let's determine the number of days between April 5, 2019, and March 9, 2020:
Number of days = 365 (days in a year) - 31 (days in March) - 4 (days in April) = 330 days
Now we can calculate Sabrina's interest:
Interest = Principal x Rate x Time
Interest = $16,000 x 65% x (330/365)
Interest = $16,000 x 0.65 x 0.90410958904
Interest ≈ $7,050.68
b. Sabrina's Payment on March 9, 2020:
To find the total amount Sabrina will pay, we need to add the interest to the principal.
Total Payment = Principal + Interest
Total Payment = $16,000 + $7,050.68
Total Payment ≈ $23,050.68
Therefore, Sabrina's difference in interest is approximately $7,050.68, and she will pay approximately $23,050.68 on March 9, 2020.
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The notebook costs £ 1.10, the pen is £ 33 and the pencil £ 25 buys (Remy) 4 pencils, one pen, two sharpeners and some paint.
what do you need to know? you should write the question
How to do this with steps please help
Answer:
Y =112 alternate angle
4x =y vertically opp
then x=112/4 = 28
what is the probability that the person selected is older than 20 years old and watching the drama movie
The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.
We have,
The total number of people who watch drama.
= 12 + 20 + 19
= 51
The total number of people who is older than 20 years who watch drama.
= 20 + 19
= 39
Now,
The probability that the person selected is older than 20 years old and watching the drama movie.
= 39/51
= 0.765
Thus,
The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.
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Find the value of x and EF. A and B are midpoints.
Answer:
x = 5.5
EF = 14
Step-by-step explanation:
We can use ratios to solve
AG 7
----------- = -----------------
EG 2x+3
We know that EG is 2 times AG since A is the midpoint
AG 7
----------- = -----------------
2 AG 2x+3
Canceling like terms
1 7
----------- = -----------------
2 2x+3
Using cross products
1 (2x+3) = 2*7
2x+3 = 14
Subtract 3 from each side
2x+3-3 = 14-3
2x =11
Divide by 2
x = 11/2
x = 5.5
EF = 2x+3 = 2*5.5+3 = 14
find the characteristic polynomial of the matrix a=⎡⎣⎢3055−510−10⎤⎦⎥.
The characteristic polynomial of the given matrix is λ(λ - 3055).
The characteristic polynomial of a matrix is obtained by taking the determinant of the matrix subtracted by a scalar multiplied by the identity matrix. In this case, the given matrix is a 2x2 matrix. Therefore, the characteristic polynomial can be obtained by:
det(a - λI) =
| 3055 - λ -5 |
| -1 0 - λ |
= (3055 - λ) * (-λ) - (-5 * -1)
= λ^2 - 3055λ
= λ(λ - 3055)
Therefore, the characteristic polynomial of the given matrix is λ(λ - 3055).
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How can we determine whether the solution is a ray or a segment?
A ray has only one endpoint. A segment has two endpoints.
What is a line?
A line is an object in geometry that is infinitely long and has neither width nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional spaces, they are one-dimensional objects. In everyday language, a line segment with two points designating its ends is also referred to as a "line."
A ray and a segment are parts of a line.
This line segment has two fixed-length endpoints, A and B. The distance between this line segment's endpoints A and B is its length.
In other words, a line segment is a section or element of a line with two endpoints. A line segment, in contrast to a line, has a known length.
A line segment's length can be calculated using either metric units like millimeters or centimeters or conventional units like feet or inches.
Ray has only one endpoint and the other ends go infinity.
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Please help me with this algebra problem, it’s in the picture. I’ll give you brainliest if it’s correct!!
Please Mark brainliast
please
a pizza shop runs a special where you can buy a large pizza with one cheese, one vegetable, and one meat for $9. You have a choice of seven Cheese's, 11 vegetables, and 6 Meats. Additionally, you have a choice of Three crusts and two sauces. How many different variations of the pizza special are possible?
The possible number of pizza special is (7 x 11 x 6 x 3 x 2 = 2772 variations.
n order to eliminate data redundancy and avoid update anomalies, find the 1nf, 2 nf, and 3nf of the following bookorder tables
Without specific table structures and dependencies provided, it is not possible to determine the 1NF, 2NF, and 3NF of the bookorder tables.
Please provide the table structures and dependencies of the bookorder tables to determine their 1NF, 2NF, and 3NF.?To determine the 1NF, 2NF, and 3NF of the bookorder tables, we need to consider the normalization process and identify any dependencies among the attributes. Without the specific table structures and dependencies provided, it is not possible to provide a specific answer. However, in general, the normalization process aims to eliminate data redundancy and update anomalies by organizing data into separate tables based on functional dependencies. In 1NF, each attribute should hold atomic values. In 2NF, non-key attributes should depend on the entire key. In 3NF, non-key attributes should depend only on the key, not on other non-key attributes. The specific normalization steps depend on the specific attributes and dependencies in the given tables.
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Prove that X^n + Y^n is divisible by X + Y for any odd natural number n, where n ≥ 1.
Step-by-step explanation:
We can prove that X^n + Y^n is divisible by X + Y for any odd natural number n, where n ≥ 1, using mathematical induction.
Base case: n = 1 When n = 1, we have X^1 + Y^1 = X + Y, which is clearly divisible by X + Y.
Inductive step: Assume that X^k + Y^k is divisible by X + Y for some odd natural number k ≥ 1. We will show that X^(k+2) + Y^(k+2) is divisible by X + Y.
We can expand X^(k+2) + Y^(k+2) using the binomial theorem: X^(k+2) + Y^(k+2) = (X^2)(X^k) + (Y^2)(Y^k)
We can factor out X + Y from the first term and Y + X from the second term, since X + Y = Y + X: X^(k+2) + Y^(k+2) = (X + Y)(X^k + XY^k) + (X + Y)(Y^k + XY^k)
We can then simplify this expression by factoring out XY^k from the first term and X^kY from the second term: X^(k+2) + Y^(k+2) = (X + Y)XY^k + (X + Y)X^kY X^(k+2) + Y^(k+2) = (X + Y)XY^k + (X + Y)X^kY
We can then factor out (X + Y) from this expression to get: X^(k+2) + Y^(k+2) = (X + Y)(XY^k + X^kY)
Since X + Y is a common factor of X^(k+2) + Y^(k+2), we have shown that X^(k+2) + Y^(k+2) is divisible by X + Y.
Therefore, by mathematical induction, we have proven that X^n + Y^n is divisible by X + Y for any odd natural number n, where n ≥ 1.
Consider x = 10-y.
a. Complete the table for the equation.
y
X
0
1
2
Answer: 0-10
1-9
2-8
Step-by-step explanation:
What is the value of (2/5)^3
The value of the exponent (2/5)^3 is \(\frac{8}{125}\)
In the above question, it is given that
(2/5)^3
The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.
We need to solve it and then find the value of the exponent
(2/5)^3
= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)
= \(\frac{2 . 2. 2}{5 . 5 . 5}\)
= \(\frac{8}{125}\)
Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)
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Na Campanha contra fome , foram arrecadados 1480 quilo de açúcar, 1207 kg de açúcar e 678 quilos de feijão. Quantos quilos de mantimento foram arrecadados?E ajudem por favor Não esqueção do cálculo por favor
Answer:
3,365 quilo
Step-by-step explanation:
Aqui, temos a tarefa de calcular os quilos de mantimentos coletados.
Para conseguir isso, o que fazemos é somar todos os quilos que temos aqui.
Matematicamente, isso representaria 1480 kg de açúcar + 1207 kg de açúcar + 678 kg de feijão = 1480 + 1207 + 678 = 3,365 kg de mantimentos
Which answer choice is equivalent to the expression below? Negative 7 (2 + n) + one-third (negative 9 minus 6 n) Negative 17 minus 9 n Negative 14 minus 12 n 11 + 5 n 14 + 2n
Answer:
a. -17 -9n
Step-by-step explanation:
Question written clearly below:
Which answer choice is equivalent to the expression below?
-7(2+n)+1/3(-9-6n)
a.-17 -9n
b, -14-12n
c. 11+5n
d. 14+2n
Solution
-7(2+n)+1/3(-9-6n)
Open parenthesis
(-14-7n)+(-9/3-6/3n)
= -14-7n+(-3-2n)
= -14-7n-3-2n
Collect like terms
= -14-3-7n-2n
= -17-9n
The answer is option a. -17 -9n
Answer:
-17 -9n
Step-by-step explanation:
i got it right on edge
the volume of this cube is 8 cubic inches. what is the surface area of this cube
Answer:
Step-by-step explanation:
find the height, width, and length.
multiply them
V=lwh
or
V=Bh
B=lw
how many solutions are there to square root x =9
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3
Given circle O , m∠EDF=31° . Find x .
The calculated value of x in the circle is 59
How to calculate the value of xFrom the question, we have the following parameters that can be used in our computation:
The circle
The measure of angle at the center of the circle is calculated as
Center = 2 * 31
So, we have
Center = 62
The sum of angles in a triangle is 180
So, we have
x + x + 62 = 180
This gives
2x = 118
Divide by 2
x = 59
Hence, the value of x is 59
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Please help! This is Geometry I don't know what to do
Answer:
\(\huge\boxed{x=6}\)
Step-by-step explanation:
\(\triangle ABC\ \text{and}\ \triangle ADB\ \text{are similar (AA). Therefore corresponding sides are in proportion.}\\\\\dfrac{BD}{BC}=\dfrac{AB}{AC}\\\\\text{We have}\\\\BD=x\\BC=10\\AB=7.5\\AC=12.5\\\\\text{Subtitute:}\\\\\dfrac{x}{10}=\dfrac{7.5}{12.5}\\\\\dfrac{x}{10}=\dfrac{7.5\cdot10}{12.5\cdot10}\\\\\dfrac{x}{10}=\dfrac{75:25}{125:25}\\\\\dfrac{x}{10}=\dfrac{3}{5}\qquad|\text{cross multiply}\\\\(5)(x)=(3)(10)\\\\5x=30\qquad|\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{30}{5}\\\\x=6\)
On the unit circle, where 0 < theta < or equal to 2pi, when is tan theta undefined?
A. Theta=pi and theta=2pi
B. sin theta = cos theta
C. theta = pi/2 and theta=3pi/2
D. sin theta = 1/cos theta
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.
To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).
Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.
At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.
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write the formula for the coefficient of quartile deviation
Step-by-step explanation:
How to Calculate the Semi Interquartile Range / Quartile Deviation. As the SIR is half of the Interquartile Range, all you need to do is find the IQR and then divide your answer by 2. Note: You might see the formula QD = 1/2(Q3 – Q1). Algebraically they are the same.
You work in Social Media as a consultant. You are working on a new report to examine trends in Social Media usage and age. You conducted a survey of 1072 people randomly selected in the United States (you limited minimum age to 12). The file "Usagef.xlsx" has results of the survey. For each Social Media platform you have a 0/1 variable indicating whether or not the person said they used the platform in the last 6 months. For each of those variables, 1 means the person did use the platform in the last 6 months and 0 means they did not. You also have the age of each respondent calculated based on birth date (so 43.56 means the individual is 43.56 years old). There are two additional variables:
Young adult: 1=respondent is under 35; 0=respondent is 35 or over.
Platforms Used: The total number of Social Media platforms used in the last 6 months.
Please use this information and the data in the excel spreadsheet "Usagef.xlsx" to answer the following questions:
Assuming the sample is a random sample of the U.S. population, what is the upper bound of the 95% confidence interval for the average age in the U.S?
The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.
Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.
Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.
Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.
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