Answers
Answer:
15
Step-by-step explanation:
a²+b²=c²
12²+9²= 144+81=225²
√225 = 15
Answer:
33.24m
Step-by-step explanation:
c²=32²+9²
c²=1105
c=33.24m
Related Questions
Given the following functions, find the indicated values.f(x)=8−3x(a) f(−3) (b) f(0) (c) f(9)
Answers
f(-3)=17
f(0)=8
f(9)=18
Explanation
Evaluating a function means finding the value of f(x) that corresponds to a given value of x, so we need to input the given value and operate
Step 1
given
\(f(x)=8-3x\)a) f(-3)
this is when x=-3, so replace and calculate
\(\begin{gathered} f(x)=8-3x \\ f(-3)=8-3(-3) \\ f(-3)=8+9=17 \\ f(-3)=17 \end{gathered}\)hence
f(-3)=17
Step 2
f(0)
so, let x= 0 ,replace and calculate
\(\begin{gathered} f(x)=8-3x \\ f(0)=8-3(0)=8-0 \\ f(0)=8 \end{gathered}\)so
f(0)=8
Step 3
f(9)
finally, for x=9
so
\(\begin{gathered} f(x)=8-3x \\ f(9)=8-3(9)=8-27 \\ f(9)=-18 \end{gathered}\)so
f(9)=18
A shop sells three packs of the same light bulb.
Calculate the price per bulb for each pack.
Write down which pack is better value for money in the comment box.
2.
Pack of 4
£13
Pack of 5
£16
Pack of 8
£28
4-pack: £
5-pack: £
8-pack price = £
Answers
Answer: Pack of 5 would be best.
Step-by-step explanation:
If you buy 2 packs of 5 you get 10 light bulbs and for only $28!!!!
What is the loan factor is Magada decides to pay her monthly repayments over a 25 year period with an interest of 10. 75%
Answers
Magada's loan factor is approximately 0.006367. This means that for every $1 borrowed, Magada will have to pay approximately $0.006367 per month for the next 25 years to repay the loan with an interest rate of 10.75%.
To calculate the loan factor, we first need to calculate the monthly interest rate and the total number of monthly payments.
Monthly interest rate = Annual interest rate / 12
= 10.75% / 12
= 0.8958%
Monthly payments = Number of years * 12
= 25 * 12
= 300
Now, we can use loan factor formula, which is:
Loan factor = [monthly interest rate * (1 + monthly interest rate)^n] / [(1 + monthly interest rate)^n - 1]
Substituting the values, we get:
Loan factor = [0.008958 * (1 + 0.008958)^300] / [(1 + 0.008958)^300 - 1]
= 0.006367
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what is the length of a 0.2-mm object expressed in μ m?
Answers
It’s 2000
mary has 7 1/6 yards of cloth she uses 3 1/4 yards she claims that she has 4 1/2 yards of cloth left do you agree explain
Answers
Mary had 7 1/6 yards of cloth. She used 3 1/4 yards of it, so the amount of cloth she has left is:
7 1/6 - 3 1/4
To subtract these two mixed numbers, we need to find a common denominator:
7 2/12 - 3 3/12
Now we can subtract the fractions:
4 11/12 - 3 3/12 = 1 8/12
Simplifying this result gives us:
1 2/3
So Mary has 1 2/3 yards of cloth left, which is not the same as her claim of 4 1/2 yards. Therefore, we do not agree with Mary's claim.
Please brainliest to help me
In a 30% off sale, the price of an item is reduced by £27.
What is the original cost of the item?
Answers
Answer: the original cost of the item is 90$
Step-by-step explanation:
30% off of the item = 27$
27 dollar is 30% of the item
thus 27 = 0.30X
0.30X = 27
time both side by 10
3X = 270
270/3 = 90
Which statements are true? Check all that apply.
A is in quadrant 1.
B is on the x-axis
C is in quadrant 1.
D is in quadrant 111.
E is on the x - axis
F is on the x-axis
G is on the y-axis
Please help I will give brainliest:)
Answers
Answer:
A is in quadrant 1. - True
B is on the x-axis - False
C is in quadrant 1. - False
D is in quadrant 111. - True
E is on the x - axis - False
F is on the x-axis - True
G is on the y-axis - False
Step-by-step explanation:
An investor wants to invest 30000 in corporate bonds that are rated AAA, A, and B. The lower rated ones pay higher interest, but pose a higher risk as well. The average yield is 5% on AAA bonds, 6% on A bonds, and 10% on B bonds. Being conservative, the investor wants to have twice as much in AAA bonds as in B bonds. How much should she invest in each type of bond to have an interest income of 2000?
Answers
The investor should invest $5000 in AAA bonds, $2500 in B bonds, and the remaining $22500 in A bonds to have an interest income of $2000.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let x be the amount invested in AAA bonds.
Since the investor wants to have twice as much in AAA bonds as in B bonds, the amount invested in B bonds is x/2.
The remaining amount invested in A bonds is 30000 - x - x/2 = 30000 - 3x/2.
The interest income from AAA bonds is 0.05x.
The interest income from A bonds is 0.06(30000 - 3x/2) = 1800 - 0.09x.
The interest income from B bonds is 0.1(x/2) = 0.05x.
The total interest income is the sum of the interest income from each type of bond, which is given to be $2000.
0.05x + 1800 - 0.09x + 0.05x = 2000
Simplifying and solving for x, we get:
-0.04x + 1800 = 2000
-0.04x = 200
x = 5000
Hence, the investor should invest $5000 in AAA bonds, $2500 in B bonds, and the remaining $22500 in A bonds to have an interest income of $2000.
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Sophia owns a small business selling used books. She knows that in the last week 15 customers paid cash, 50 customers used a debit card, and 15 customers used a credit card. Based on these results, express the probability that the next customer will pay with a debit card as a decimal to the nearest hundredth.
Answers
The probability that the next person will pay with a debit card is:
P = 0.63
How to find the probability?
We want to find he probability that the next customer will pay with a debit card.
That probability can be estimated as the quotient between the number of customers that paid with debit card and the total number of customers.
We know that:
15 paid in cash.
50 paid with debit card.
15 paid with credit card.
For a total of 15 + 50 + 15 = 80
Then the probability is:
P = 50/80 = 0.63
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Dianne used a $50 note to pay for a tour of the Perth
Mint. The amount of change she received was $20
more than the cost of the tour. Find the cost of the
tour.
Answers
Answer: $30
Step-by-step explanation:
isnt it just 50-20
Answer: 30
Step-by-step explanation:
Since Dianne used a 50$ note to pay and then received 20 as change it would just be 50-20=30
Answer 30
Towns K and L are shown on a map.
a) Work out the actual distance
between towns K and L.
b) A third town, M, is 150 km due
South of town K.
Mark M on the map with X.
c) Measure the bearing of town L
from town K.
Answers
A)The actual distance between towns K and L is 10 cm .
B) The bearing of town L from town k is 117 degree
What is mean by actual distance?The length of the line segment connecting the two sites is used to measure distance between them. The shortest line segment between a point and a line will have a length equal to the distance between them.
The following list includes four distance metrics that are maybe the most often employed in machine learning: the Hamming Distance. Distance in Euclid. New York City distance
The distance a number is from 0 on the number line is its absolute value. Because -7 is 7 units away from 0, its absolute value is 7. Because it is 5 units away from 0, the number 5 has an absolute value of 5. Any number that is less than zero is considered to be negative.
Given ,
A)The actual distance between towns K and L is 10 cm .
B) check the photo of my work
C) The bearing of town L from town k is 117 degree
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Question: A Capacitor Is Discharged Through A 90.0Ω Resistor. Part A The Discharge Current Decreases To 27.0% Of Its Initial Value In 1.40 Ms. What Is The Value Of The Capacitor? Express Your Answer With The Appropriate Units.
Answers
Given that the discharge current decreases to 27% of its initial value in 1.40 ms, we can use the equation of discharge current:
The capacitance of the capacitor is 0 F.
Part A:
Given that the discharge current decreases to 27% of its initial value in 1.40 ms, we can use the equation of discharge current:
I = I₀e^(-t/RC)
Here,
I₀ = initial current
R = resistance
C = capacitance
t = time
We are given that the current is 27% of the initial value, so the equation becomes:
0.27 = \(1e^(-1.40*10^-3/RC)\)
Simplifying the equation, we find:
RC =\(3.28* 10^-3 s\) ----(1)
Part B:
The time taken to discharge a capacitor through a resistance R is given by:
t = RC ln (Vc/V₀)
where Vc = voltage across the capacitor at time t and V₀ = initial voltage across the capacitor.
Substituting the values, we have:
\(1.40*10^-3\) = C*90 ln (0/100)
Since a fully discharged capacitor has a voltage of 0, we set Vc = 0. Thus, the equation becomes:
\(1.40*10^-3\)= C*90 ln (0)
The natural logarithm of 0 is negative infinity. Therefore, the equation becomes:
\(1.40*10^-3\)= C*90*(-infinity)
Simplifying further, we find:
C = 0
Thus, the value of capacitance is 0 F.
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Are the lines y = 2 and x = 4 parallel, perpendicular, or neither? Explain using complete sentences.
Answers
The lines y = 2 and x = 4 are neither parallel nor perpendicular.
The given lines are y = 2 and x = 4.
The line y = 2 is a horizontal line because the value of y remains constant at 2, regardless of the value of x. This means that all points on the line have the same y-coordinate.
On the other hand, the line x = 4 is a vertical line because the value of x remains constant at 4, regardless of the value of y. This means that all points on the line have the same x-coordinate.
Since the slope of a horizontal line is 0 and the slope of a vertical line is undefined, we can determine that the slopes of these lines are not equal. Therefore, the lines y = 2 and x = 4 are neither parallel nor perpendicular.
Parallel lines have the same slope, indicating that they maintain a consistent distance from each other and never intersect. Perpendicular lines have slopes that are negative reciprocals of each other, forming right angles when they intersect.
In this case, the line y = 2 is parallel to the x-axis and the line x = 4 is parallel to the y-axis. Since the x-axis and y-axis are perpendicular to each other, we might intuitively think that these lines are perpendicular. However, perpendicularity is based on the slopes of the lines, and in this case, the slopes are undefined and 0, which are not negative reciprocals.
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ILL MARK U BRILLIANT PEASE I NEED HELP! the independent variable of a relationship represents the hours someone is driving and the dependent variable represents the number of miles, what does the ordered pair (2,100) represent?
Answers
Answer:
x or 2= amount of hours someone is driving and y or 100= the number of miles
Step-by-step explanation:
what’s the answer ??
Answers
Answer:
Left box: 1/2n
Right box = 2n - 22
Step-by-step explanation:
Since we want one-half the number and n represents the unknown number, we have 1/2n on the left-hand side of the equation.
Thus, you want to put 1/2n in box on the left.
Twice the number and 22 less than this is given by: y: 2n - 22 less than this means we subtract. Thus, we have 2n - 22 as the numerator on the right hand side of the equation.
Thus, you want to put 2n - 22 in the box on the right.
3.
Solve the system using elimination.
[-x+ y = 9
X-y=-9
A:infinite solutions
b:no solution
c:(2,-1)
d:(-2,1)
Answers
Answer:
no solution..........
5. (4 pts) Independence (a) Suppose that E, F and G are independent events. Prove that P[En(FUG)] = P(E)P(FUG) (b) Let A and B be independent events, then prove that - A and B are also inde- pendent. (c) Let X be the random variable that counts the number of heads when two fair coins are flipped. Let Y be the random variable that records whether both coin flips are the same (i.e., 1 if both heads or both tails, 0 otherwise). Are X and Y independent? Show why or why not.
Answers
(a) P(En(FUG)) = P(E)P(FUG) found by using the multiplication rule of probability.
Using the multiplication rule of probability, we have P(En(FUG)) = P(En∩F∩G) = P(E)P(F)P(G), since E, F, and G are independent events. Therefore, P(En(FUG)) = P(E)P(FUG).
(b) We want to show that P(A∩B) = P(A)P(B), given that A and B are independent events. Using the definition of independent events, we know that P(A∩B) = P(A)P(B|A) = P(A)P(B), since P(B|A) = P(B) by the independence of A and B. Therefore, A and B are independent events.
(c) To determine whether X and Y are independent, we need to check if P(X=x∩Y=y) = P(X=x)P(Y=y) for all x and y. We have P(X=0∩Y=0) = 1/2, P(X=0) = 1/2, and P(Y=0) = 1/2.
Therefore, P(X=0∩Y=0) ≠ P(X=0)P(Y=0), which implies that X and Y are not independent. In fact, we can compute all possible joint probabilities and see that none of them satisfy the condition for independence.
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If g(x) = 3x + 2 and f(x) = 5x - 4, what is f(g(x)) ?
Answers
Answer:
y = 15x + 6
Step-by-step explanation:
Answer:
you set them = to each other
3x+2= 5x-4 (subtract 5x from both sides)
-2x +2 = -4 (subtract 2 from both sides)
-2x = -6 (divide by -2)
x = 3 (your answer)
A soccer game is m minutes long. The game includes 90 minutes plus x minutes of time-outs. Translate the words into an algebraic expression. How long is the game with 8 minutes of time-outs
Answers
The game with 8 minutes of time-outs is 98 minutes long.
What is an algebraic expression?
An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations such as addition, subtraction, multiplication, and division.
In this case, the algebraic expression that represents the length of the soccer game would be:
m = 90 + x
where m represents the total length of the game in minutes, 90 represents the fixed length of the game, and x represents the variable length of time-outs in minutes.
To find the length of the game with 8 minutes of time-outs, we substitute x = 8 into the expression:
m = 90 + 8 = 98
Therefore, the game with 8 minutes of time-outs is 98 minutes long.
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CAN SOMEONE HELP ME PLEASE ASAP!?
Answers
Answer:
Plane TVW
Step-by-step explanation:
A plane is named by using a single capital letter, which isn't present in the figure, another way to name it is using three non-collinear points (points that don't lie on the same line), and the only two choices that mention three points are the first and third choice, the first choice mentions three points that are collinear, leaving the third choice being the correct answer.
Jessica school bus stop is 60 yards from her house.For a normal school week, how many feet will Jessica walk to and from the bus stop?
A 300 feet
B 600 feet
C 900 feet
D 1,800 feet
winner gets 100 points
Answers
Answer:
d
Step-by-step explanation:
school is only 5 days a week and if she walks 60 yards to the bus stop and 60 yards back from the bus stop than she walks a total of 120 yards a day
120 x 5 =600 the answers are in feet so we need to convert to feet and to do that we need to multiply by 3
600x3=1800
so she walks 1800 feet in a normal school week
Answer:
Step-by-step explanation:
the value 4 is an upper bound for the zeros of the funtion shown below
Answers
f(x)=4x^3 - 12x^2 - x + 15
how many servings of popcorn are in 5 1/2 cups of each person receives 3/4 cup of popcorn?
Answers
Answer:
7.3333, so if you round down, 7.
Step-by-step explanation:
5 1/2 divided by 3/4 is 7.3333
Janie uses a reflecting tool to reflect Point B onto Point A. Which of the following statements are true/false about the line of reflection?
Reflection line is perpendicular to AB. (T/F) true
Reflection line does not bisect AB. (T/F) false
Reflection line passes through the midpoint of BA. (T/F) true
Reflection line forms two equal angles with segment AB. (T/F)true
Answers
Answer:
1. True 2. False 3. True 4. True
Step-by-step explanation:
Answer:
You are right
Step-by-step explanation:
You are right
the zerodivisionerror exception is raised when the program attempts to perform the calculation x/y if y = 0.
Answers
The statement " the zero division error exception is raised when the program attempts to perform the calculation x/y if y = 0 " is true
Th given statement is
The zero division error exception is raised when the program attempts to perform the calculation x/y if y = 0.
Zero Division Error is defined as the built-in Python exception that is executing when a number is divided by 0. Therefore the Zero division error is executed when the denominator of the rational number is zero
Here, in the given situation the it attempting to perform the calculation x / y, and the value of the denominator y = 0. Therefore, the zero division error will be executed in such a situation
Therefore, the given statement is true
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A graphed function may display different properties and characteristics over certain intervals of the graph in A and B below, describe the part of the function over the specified intervals, as “linear”or “nonlinear”and “increasing”or “decreasing”.
Help Needed,Thank you for whoever can help me out
Answers
The part of the function over the interval (-2,2) is nonlinear and decreasing.
Linear and nonlinearInterval: (-2, 2):The part of the function over the interval (-2,2) is nonlinear and decreasing.Over this interval, the graph starts at a peak of (0,2), before steadily decreasing and then sharply decreasing to a low point of (2,-2).This sharp decrease in the graph indicates that the function is nonlinear, as the rate of change is not constant.Additionally, the graph decreases over this interval, indicating that the function is decreasing. Interval: (2, 4):The part of the function over the interval (2, 4) is linear and increasing.Over this interval, the graph steadily increases; starting at the low point of (2,-2) and increasing to a peak of (4,2).This linear increase in the graph indicates that the function is linear, as the rate of change is constant.Additionally, the graph increases over this interval, indicating that the function is increasing.To learn more about Linear and nonlinear refer to:
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which coordinate pair represents the reflection of poin A across the y-axis
Answers
Answer:
i need and image
Step-by-step explanation:
The system of linear equations represented in the graph is ______
The solution of this system of equations is ____
Answers
Answer:
(- 3, - 5 )
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (- 3, - 5 ) ← solution
Answer:
The system of linear equations represented in the graph is y=x-2, y=3x+4.
The solution of this system of equation is (-3,-5)
A cell phone company charges a monthly fee of $30 for the first 2000 text messages and 10 cents for each additional text message. MiriamÂs bill for text messages for the month of June is $35.10. How many text messages did she send that month?
Answers
What is cumulative distribution function?
Answers
The cumulative distribution function (CDF) is a important statistical tool used to describe the distribution of a random variable. It gives the probability that the value of a random variable is less than or equal to a certain value. In this explanation, we'll look at what the cumulative distribution function is, how it's defined and how it's used.
A cumulative distribution function is a function that describes the distribution of a random variable. For any given real number x, the cumulative distribution function F(x) gives the probability that the value of the random variable X is less than or equal to x. In other words, F(x) represents the cumulative probability up to x.
Formally, the cumulative distribution function is defined as follows:
F(x) = P(X <= x)
where P(X <= x) represents the probability that the value of X is less than or equal to x.
CDFs are always non-decreasing functions, meaning that as x increases, so does the value of F(x). In addition, CDFs always have a range of [0, 1], with F(x) equal to 0 for all values less than the minimum value of X, and equal to 1 for all values greater than the maximum value of X.
The CDF is a useful tool for understanding the distribution of a random variable, and is often used in hypothesis testing, confidence intervals, and to make predictions about future values of a random variable. It can be used to describe the distribution of continuous and discrete random variables, and can be graphed as a step function or as a smooth curve.
In conclusion, the cumulative distribution function is a useful tool for understanding and describing the distribution of a random variable, and is used in a variety of applications in statistics and probability.
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