Answer:
The inverse of f(x)=3x+1 is f(x)−1=13x−13
Step-by-step explanation:
Answer:
[tex]f(x)^{-1} = \frac{1}{3}x - \frac{1}{3}[/tex]
Step-by-step explanation:
Inverse means the opposite of the original function.
You decide to purchase a bond for $500. It pays 5% simple interest per year and matures in 5 years. How much interest will you earn once the bond matures? Round your answer to the nearest dollar.
Do NOT round until you have calculated your final answer.
Answer:
$625
Step-by-step explanation:
You start with $500
The interest per year is 5% or 500 x 0.05 = $25
If it matures 5 years and each year has an increase of $25 then
Year 1 - $525
Year 2 - $550
Year 3 - $575
Year 4 - $600
Year 5 - $625
Answer:
Step-by-step explanation:
We express the interest rate r in decimal form, so we have r=5%=5100=0.05. The principal is P=500 and the time in years is t=5. So, the interest is I=Prt=(500)(0.05)(5)=$125. The interest earned is $125.
find the slope and y- of the table
Answer:
y = (3/2) x +6
Step-by-step explanation:
The y-intercept is clearly at y = 6 point (0, 6) of the table.
The slope can be calculated using any two pairs, for example (-4,0) and (-2, 3)
slope = (y2 - y1)/(x2 - x1) = (3 - 0) / (-2 + 4 ) = 3/2
Then the equations of the line in slope y-intercept form is:
y = (3/2) x +6
I need to solve for n.
2x2 + x + 5 = 0 i don’t know how to do this please help
9514 1404 393
Answer:
x = -0.25+√2.4375i or -0.25-√2.4375i
Step-by-step explanation:
The quadratic formula works for this. The quadratic equation ...
ax² +bx +c = 0
has solutions given by the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Your equation ...
2x² +x +5 = 0
has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...
[tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]
The decimal equivalents are ...
x = -0.25+√2.4375i or -0.25-√2.4375i . . . . . . the 'i' is outside the radical
A particle travels along the x axis such that it’s position at time t is given by the function x(t)=2t+t. What is the average speed of this particle over the interval 2
The required average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is 32 meters/second.
Given that,
A particle travels along the x-axis such that its position at time t is given by,
Function; [tex]\rm x(t)=2t^2+t[/tex]
We have to find,
What is the average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10?
According to the question,
The position of the particle is given by,
[tex]\rm x(t)=2t^2+t[/tex]
The average speed of this particle is determined by differentiating the function with respect to x,
[tex]\rm \dfrac{dx}{dt} = \dfrac{d(2t^2+t)}{dx}\\\\\dfrac{dx}{dt} = 4t + 1 \\\\v(t) = 4t+1[/tex]
Then,
The average speed of the particle over interval 2 is,
[tex]\rm v(t) = 4t+1 \\\\v(2) = 4(2)+1\\\\v(2) = 8+1 \\\\v(2) = 9 \ meter \ per \ second[/tex]
And the average speed of the particle over interval 10 is,
[tex]\rm v(t) = 4t+1 \\\\v(10) = 4(10)+1\\\\v(10) = 40+1 \\\\v(10) = 41 \ meter \ per \ second[/tex]
Therefore,
The average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is,
[tex]\rm v(t) = v(10)-v(2)\\\\v(t) = 41-9\\\\v(t)= 32 \ meter \ per \ second[/tex]
Hence, The required average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is 32 meters/second.
For more details refer to the link given below.
https://brainly.com/question/2292357
Answer:
Very basically, the answer is 3
Step-by-step explanation:
Know this cause Edge 2023
Guys pls help if I don’t know if I’m correct
Answer:
Yes u are correct
Samantha is training for a race. The distances of her training runs form an arithmetic sequence. She runs 1 mi the first day and 2 mi the seventh day.
a. What is the explicit definition for this sequence?
b. How far does she run on day 19?
Raise to the power: (–2abx)4
Answer:
(16a^4b^4x^4)
Step-by-step explanation:
wilma buys a new game that is priced at 43.89. She gets successive discounts of 15% followed by 5% off on the game. The purchase price of Wilma's game is what percentage of the original price?
Answer:
C
Step-by-step explanation:
Edge 2020
Answer:
c edg
Step-by-step explanation:
help me idk what it is
the answer is the bottom one on the first row
PLEASE HELP!
How do you calculate the cost of repaying a car loan
Answer:
Multiply and divide
Step-by-step explanation:
Answer:
To determine how much you can expect to pay in finance charges over the life of the loan, multiply the Monthly Payment Amount by the Number of Payments, minus the Amount Borrowed. This should give you the Total Amount of Finance Charges that you can expect to pay.
Step-by-step explanation:
Hope This Helps probably not but here!
Which of the following is equal to 7%?
O A. A
O B. 73
O C. 173
O D.
SUBMIT
The decimal equivalent of 7% is, C. 0.07.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
We know, Percentages and decimals are related to each other.
Decimals can be converted into percentages by multiplying them by 100
and vice versa.
Given, We have to find the decimal equivalent of 7%.
The decimal equivalent of 7% is,
= 7/100.
= 0.07.
Q. Which of the following is equal to 7%?
A. 7.
B. 0.7.
C. 0.07.
D. 7%.
learn more about percentages here :
https://brainly.com/question/24159063
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If adult females are randomly selected, find the probability that they have pulse rates with a mean between 70beats per minute and 82beats per minute.
This question is incomplete.
Complete Question
Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of 12.5 beats per minute. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 82 beats per minute. The probability is (Round to four decimal places as needed.)
Answer:
0.3688
Step-by-step explanation:
The formula for calculating a z-score when given a random sample of numbers is is z = (x-μ)/σ/√n
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
mean = 76.0 beats per minute and a standard deviation = 12.5 beats per minute.
n = number of random samples = 1
For 70 beats per minute
z = 70 - 76/12.5/√1
z = -0.48
Probability value from Z-Table:
P(x = 70) = 0.31561
For 82 beats per minute.
z = 82 - 76/12.5/√1
z = 0.48
Probability value from Z-Table:
P(x = 82) = 0.68439
The probability that her pulse rate is between 70 beats per minute and 82 beats per minute.
P(x = 82) - P(x = 70)
0.68439 - 0.31561
= 0.36878
≈ 0.3688
There are 20 students in a class and 70% of these students passed their Biology test.
What number of these students passed their test? Round your answer to the nearest whole
number if necessary.
Answer:
The answer is 14 students.
Step-by-step explanation:
70% of 20 = 14
I need help please help me out .
which represents 8(95) using the distributive property to simplify
Answer:
8*90 + 8*9 = 760
Step-by-step explanation:
Because, 8(95) just means 8 times 95 so you just distribute 8 to 90 and 5.
Which expression is equivalent to |-5| + |-3|
Answer:
5+3
Step-by-step explanation:
5+3
Answer:
5+3=8
Step-by-step explanation:
What is 1.6 + 4x > 14.
Answer:
Simplifying
1.6 + 4x = 14
Solving
1.6 + 4x = 14
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.6' to each side of the equation.
1.6 + -1.6 + 4x = 14 + -1.6
Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 4x = 14 + -1.6
4x = 14 + -1.6
Combine like terms: 14 + -1.6 = 12.4
4x = 12.4
Divide each side by '4'.
x = 3.1
Simplifying
x = 3.1
Step-by-step explanation:
Explain how to use the distributive property to find an expression that is equivalent to 20+16.
Step-by-step explanation:
distributive property is a*(b+c) = a*b + a*c
20+16 = 4* (5+4)
Suppose the equation of line t is y = x. Which shows the graph of A'B'C' for Rt?
Answer:
A'(1, -1), B'(-1, 1), C'(-1, -1)
Step-by-step explanation:
Coordinates of the vertices of the given triangle ABC are,
A(-1, 1), B(1, -1), C(-3, -1)
We have to find the new coordinates of these vertices after reflection across y = x,
Rule for the reflection of a point across a line, (y = x) is,
(x, y) → (y, x)
Following the given rule of transformation,
A(-1, 1) → A'(1, -1)
B(1, -1) → B'(-1, 1)
C(-3, -1) → C'(-1, -3)
muggsy weigh 5/7 as much as his friend bruno. bruno weighs 125 lb. how many does muggsy weigh?
Answer:
Muggsy weighs 89 2/7 lbs.
Just the picture, Geometry.
∠2 = ∠3 ( vertically opposite angles )
= 112° = 112°
= ∠3 = ∠7 ( corresponding angles )
Therefore , m∠7 = 112° .
lincoln middle school has a total of $200 to spend on notebooks and tablets
Answer:
Oh um ok. Is there supposed to be like a 2nd part to this??
Step-by-step explanation:
A student takes a multiple-choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Let X be the number of questions the student gets correct. (a) Find P(X = 3). (b) Find P(X > 2). (c) To pass the test, the student must answer 7 or more questions correctly. Would it be unusual for the student to pass? Explain.
Answer:
1)0.2502
2)0.475
3)0.003505
Step-by-step explanation:
Total No. of question n= 10
There are four choices in each question
So, Probability of success [tex]p = \frac{1}{4}[/tex]
Probability of failure q = [tex]1- \frac{1}{4}=\frac{3}{4}[/tex]
We will use binomial over here
[tex]P(X=x)=^nC_r p^r q^{n-r}[/tex]
1)
[tex]P(X = 3)=^{10}C_3 (\frac{1}{4})^3 (\frac{3}{4})^7\\P(X = 3)=\frac{10!}{3!7!} (\frac{1}{4})^3 (\frac{3}{4})^7\\P(X = 3)=0.2502[/tex]
2) [tex]P(X > 2)=1-P(X\leq 2)[/tex]
P(X>2)=1-(P(X=0)+P(X=1)+P(X=2))
[tex]P(X>2)=1-(^{10}C_0 (\frac{1}{4})^0 (\frac{3}{4})^{10}+(^{10}C_1 (\frac{1}{4})^1 (\frac{3}{4})^9+^{10}C_2 (\frac{1}{4})^2 (\frac{3}{4})^8)[/tex]
[tex]P(X>2)=1-((\frac{1}{4})^0 (\frac{3}{4})^{10}+(\frac{10!}{1!9!} (\frac{1}{4})^1 (\frac{3}{4})^9+\frac{10!}{2!8!} (\frac{1}{4})^2 (\frac{3}{4})^8)[/tex]
P(X>2)=0.475
3)
[tex]P(X\geq 7)=P(X=7)+P(X=8)+P(X=9)+P(X=10)\\\\P(X\geq 7)=^{10}C_7 (\frac{1}{4})^7 (\frac{3}{4})^{3}+(^{10}C_8 (\frac{1}{4})^8 (\frac{3}{4})^2+^{10}C_9 (\frac{1}{4})^9 (\frac{3}{4})^1+^{10}C_{10} (\frac{1}{4})^{10} (\frac{3}{4})^0\\\\P(X\geq 7)=\frac{10!}{7!3!} (\frac{1}{4})^7 (\frac{3}{4})^{3}+\frac{10!}{8!2!} (\frac{1}{4})^8 (\frac{3}{4})^2+\frac{10!}{9!1!} (\frac{1}{4})^9 (\frac{3}{4})^1+\frac{10!}{10!0!}(\frac{1}{4})^{10} (\frac{3}{4})^0\\\\P(X\geq 7)=0.003505[/tex]
Which figure represents the image of parallelogram LMNP after a reflection across the line y = x?
Answer:
Quick answer option C
Step-by-step explanation:
An object is moving at a speed of 2 feet every 8.5 minutes. Express this speed in meters per hour.
Answer:
67 meters per hour
Step-by-step explanation: becasue i need pints
Little Bo Peep needs to buy 10 new sheep.
Farm M: one sheep costs $20
Farm Q: Set of 5 sheep costs $75.
How much will it cost Little Bo Peep to buy 10 sheep from Farm M?
Answer:
200$
Step-by-step explanation:
10 TIMES 20 IS 200
Colin invests £1200 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
2x+3=10
Simplify to the nearest term.
Answer:
x = 4.
Step-by-step explanation:
2x + 3 = 10.
Simplify 3 - 10 = -7.
2x = -7.
Divide 2x = -7 to 4.
Hope this helps!
Have a good day ma'am/sir.
Be safe!
spend 54.49 and 79.99. how much in total
Answer:
25.5
Step-by-step explanation:
Answer:2.25
Step-by-step explanation: