Answer:
m = 3/2
b = 0
y = 3/2x
Step-by-step explanation:
M is the slope, which is the rise/run of a line.
Using this, we know m is 3/2.
B is the y-intercept, which is where the line crosses the y-axis. In this case, B equals 0.
We use this information to put together our final equation of y= 3/2x (since B equals 0, there is no + or - after the slope)
The table lists selected values of Sam's walking speed, in kilometers per hour (km/h), and his corresponding
pulse, in beats per minute (bpm). There is a linear relationship between Sam's speed, x, and his pulse, f(x).
Which of the following equations describes f(x)?
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Answer:
(C) f(x) = 5x +57
Step-by-step explanation:
Heart rate increases as speed increases, so only equations with a positive x-coefficient are of interest. It is pretty easy to see that ...
f(x) = x+57
doesn't give ...
f(4) = 77
However, the other reasonable choice is ...
f(x) = 5x +57
which does give f(4) = 77.
A wealthy businessman invests $10,000 and expects a 6.62% rate of return annually. How
many years will it take the investment to reach $15,000 in value?
Answer:
3
Step-by-step explanation:
It would take.him.about 3 years
PLS HELP I DONT KNOW THE ANSWERSSSS
Answer:
1 - proper fraction
2 - mixed number
3 - equivalent fractions
4 - improper fraction
5 - denominator
6 - numerator
Step-by-step explanation:
Answer:
1. proper fraction
2. mixed number
3. equivalent fraction
4. improper fraction
5. denominator
6. numerator
Step-by-step explanation:
please help meeee I need help
Answer:
Option 1
Step-by-step explanation:
Answer:
Option 2.
Step-by-step explanation:
The slope is negative, so it goes down from left to right.
Increase £15837.77 by 8.5%
Answer:
32,100 Millimeters
3,210 Centimeters
3.21 Decameters
Hope It Helps
Step-by-step explanation:
PLEASE HELP MEEEEEE I REALLY NEED HELP WITH THISSSSSSSSS QUESTION PLEASE I NEEEEDDD HELPPPP IM BEGGGING YOUUUU
Answer:
volume of figure = 74 cm³
Reid earns $9.00 per hour painting furniture and has already earned $22.50. The number of hours, x, for which Reid painted can be found using the equation 22.50=9x.
How many hours did Reid paint?
Answer:
2.5 hours or 2 hours and 39 min
Step-by-step explanation:
22.50/9
Improvements in which area would help reduce the possibility of damage to the environment when using uranium as a fuel?
more-efficient extraction techniques
better control of fusion reactions
stronger-pumping wells
thicker shielding around the reactor
Answer:
Improvements in which area would help reduce the possibility of damage to the environment when using uranium as a fuel?
A.) more-efficient extraction techniques
Step-by-step explanation:
To curb these detrimental effects, it is required to provide more-efficient extraction techniques when using uranium as a fuel.
What are environmental pollutants?Environmental pollutants are substances released into the natural environment that cause negative effects, such as damaging health or inflicting various sorts of damage.
Uranium mining has far-reaching consequences, polluting the environment with radioactive particles, radon gas, water-borne pollutants, and higher concentrations of radiation levels.
To curb these detrimental effects and to improve the possibility of damage caused to the environment, it is required to provide more-efficient extraction techniques when using uranium as a fuel.
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The length of a beige is 500 miles if 1 inch represent 25 miles what is the length of the bridge ?
Answer:
20 inch
Step-by-step explanation:
500 divided by 25 is 20.
While doing an article on the high cost of college education, a reporter took a random sample of the cost of new textbooks for a semester. Her sample consisted of 20 students with a mean of $212.45 and a standard deviation of $38.92. A. Find the 99% confidence interval estimate of the true mean textbook cost for the semester based on her sample. Assume the cost of new textbooks is normally distributed.B. Based on part a, is an average cost of $200 for a semester a likely value for the population mean? Why or why not?
Answer:
The answer is below
Step-by-step explanation:
Given that:
mean (μ) = $212.45, standard deviation (σ) = $38.92 and sample size (n) = 20 students.
a) Confidence (C) = 99% = 0.99
α = 1 - C = 1 - 0.99 = 0.01
α/2 = 0.01/2 = 0.005
The z score of α/2 is the same as the z score of 0.495 (0.5 - 0.005) which is equal to 2.576. This means that Z(α/2) = 2.576
The margin of error (E) is given as:
[tex]E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\Substituting:\\\\E=2.576*\frac{38.92}{\sqrt{20} } \\\\E=8.7[/tex]
The confidence interval = (μ ± E) = (212.45 ± 8.7) = (203.75, 221.15)
Hence the 99% confidence interval is between 203.75 and 221.15.
b) The population mean is the same as the sample mean. Hence the population mean = $212.45
(b) Given one of the zeros of equation 2x³ - 23x + 78x +k=0 is 3/2
Find value k, hence,
solve the equation.
Answer:
k = -55 x - 2 x^3
Step-by-step explanation:
Solve for k:
2 x^3 + 55 x + k = 0
Hint: | Solve for k.
Subtract 2 x^3 + 55 x from both sides:
Answer: k = -55 x - 2 x^3
3/2 is not a Root of this equation - see below, those are the Roots/Zeros.
Solve for x:
2 x^3 + 55 x + k = 0
Divide both sides by 2:
x^3 + (55 x)/2 + k/2 = 0
Change coordinates by substituting x = y + λ/y, where λ is a constant value that will be determined later:
k/2 + 55/2 (y + λ/y) + (y + λ/y)^3 = 0
Multiply both sides by y^3 and collect in terms of y:
y^6 + y^4 (3 λ + 55/2) + (k y^3)/2 + y^2 (3 λ^2 + (55 λ)/2) + λ^3 = 0
Substitute λ = -55/6 and then z = y^3, yielding a quadratic equation in the variable z:
z^2 + (k z)/2 - 166375/216 = 0
Find the positive solution to the quadratic equation:
z = 1/36 (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)
Substitute back for z = y^3:
y^3 = 1/36 (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)
Taking cube roots gives (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)/6^(2/3) times the third roots of unity:
y = (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)/6^(2/3) or y = -((-1)^(1/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3))/6^(2/3) or y = ((-1)^(2/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3))/6^(2/3)
Substitute each value of y into x = y - 55/(6 y):
x = (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)/6^(2/3) - 55/(6^(1/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)) or x = -(55 (-1)^(2/3))/(6^(1/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3)) - ((-1)^(1/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3))/6^(2/3) or x = (55 ((-1)/6)^(1/3))/(sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3) + ((-1)^(2/3) (sqrt(3) sqrt(27 k^2 + 332750) - 9 k)^(1/3))/6^(2/3)
Bring each solution to a common denominator and simplify:
Answer: x = (6^(1/3) (sqrt(81 k^2 + 998250) - 9 k)^(2/3) - 55 6^(2/3))/(6 (sqrt(81 k^2 + 998250) - 9 k)^(1/3)) or x = -((-1)^(1/3) ((sqrt(81 k^2 + 998250) - 9 k)^(2/3) + 55 (-6)^(1/3)))/(6^(2/3) (sqrt(81 k^2 + 998250) - 9 k)^(1/3)) or x = ((-1)^(1/3) ((-1)^(1/3) (sqrt(81 k^2 + 998250) - 9 k)^(2/3) + 55 6^(1/3)))/(6^(2/3) (sqrt(81 k^2 + 998250) - 9 k)^(1/3))
PLEASE HELP!!
4 Digit Lock *
Enter 4 digit number code with no spaces
WILL GIVE YOU BRAINLIEST IF CORRECT
Answer:
im guessing?
Step-by-step explanation:
each=4921
What is 24 x 1/6 as a fraction
The solution of the expression (24 x (1/6) is ( 4 / 1 ).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression will be calculated as:-
E = 24 x 1/6
E = 24 / 6
E = 4 / 1
Hence, the solution of the given expression is ( 4 / 1).
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A person invests 2000 dollars in a bank. The bank pays 6.25% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5900 dollars?
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Answer:
17.6 years
Step-by-step explanation:
The compound interest formula is useful for figuring this out.
A = P(1 +r/n)^(nt) . . . . . interest r compounded n per year for t years
Filling in the given values and solving for t, we have ...
5900 = 2000(1 +.0625/2)^(2t)
2.95 = 1.03125^(2t) . . . . divide by 2000, simplify
log(2.95) = 2t×log(1.03125) . . . . take logarithms
t = log(2.95)/(2×log(1.03125) . . . . divide by the coefficient of t
t ≈ 17.6
The person must leave the money in the bank for 17.6 years.
NEGATIVE INTEGER LESS THAN -5
Answer:
-6
Step-by-step explanation:
-6, -7, -8... and so on are less than -5
Answer:
-6, -7, -8... etc.
Step-by-step explanation:
An overcoat is $2,070.How much do you need to pay if you get a 15% discount?
Answer:
You need to pay $1,759.50 if you get a 15% discount.
Step-by-step explanation:
100%-15%=85%
0.85x2,070=$1,759.50
I need help please!!! I will give five stars and Brainiest for correct answer.
Answer:
in my thought 4isthe answer
Use GEMS to evaluate the expression when x=5
3x - (-2 + 4x)
PLEASE HELP!
Answer:
how to get gems?
Step-by-step explanation:
Inverse Rational Function:
g(x)=6x-1/4x+7
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Answer:
g^-1(x) = (7x+1)/(6 -4x)
Step-by-step explanation:
Substitute y for x and solve for y.
g(y) = x
(6y -1)/(4y +7) = x
6y -1 = x(4y +7) . . . . multiply by 4y+7
6y -4xy = 7x +1 . . . . add 1-4xy
y(6 -4x) = 7x +1 . . . . factor out y
y = (7x +1)/(6 -4x) . . . divide by the coefficient of x
[tex]\boxed{g^{-1}(x)=\dfrac{7x+1}{6-4x}}[/tex]
If you eat 225% of a pizza, how many pizzas did you eat?
Answer:
Prolly 2 and 1/4 pizza but DON'T quote me on it :(
Step-by-step explanation:
Answer:
2 1/4 Pizzas
Step-by-step explanation:
If 1 pizza is 100% of a pizza you just do simple division to find the answer.
225 / 100 = 2.25 pizzas
BEST ANSWER WILL BE MARKED BRAINIEST AND AWARDED HIGHEST POINTS\
Give an example of translation symmetry in nature, like when you take a walk outside. (do not use honey hives as an example.)
One example I've seen many times when I walk in the park, or just outside my house, is the pattern on the back of a moth. Here's an example of one. I hope this helps.
A student received a score of 38/50 on a math test and wants to convert the points into percentages.
An important step in the process involves dividing the
number of incorrect answers by the number of correct answers.
number of correct answers by the number of incorrect answers.
total number of questions by the number of correct answers.
number of correct answers by the total number of questions.
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Answer:
number of correct answers by the total number of questions
Step-by-step explanation:
The first step in the process is to express the score as a fraction. That has already been done here, but apparently, we're to say what that fraction is.
The required fraction that must be found as a first step is found by dividing the ...
number of correct answers by the total number of questions
Answer:
number of correct answers by the total number of questions
Step-by-step explanation:
source : m4thw4y
How do you find lower class limit
Answer:
Its the upper limit and lower limit of the class
1/3 + a =5/4
what does a equal
Answer:
the answer to this is a = 11/12
Step-by-step explanation:
Someone help please!!!
Answer:
y intercept = -5
slope= 4
equation: y = 4x - 5
EXPLANATION:
FIRST, you must write the formula for a linear graph , which is y = m(x) + c
where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.
SOLUTION:
y = mx + c
finding the gradient (m)
m = y2 - y1
x2 - x1
=( (-1)-(-5) ) ÷ (1-0)
= -1+5 ÷ 1
= 4
Therefore, the slope is 4
finding the y intercept.
y = 4x + c
in the above equation, I substituted the value I had for the slope or the gradient or m.
SO NOW IM ABOUT TO FIND C
TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.
I CHOOSE MY Y = 3 and X = 2
Now I'm going to substitute those values into the formula.
(3) = 4(2) + C
since it's an equation with one variable, no need for simultaneous equations.
3 = 8 + c
3-8 = c
-5 = c
SO THATS HOW WE ARRIVED AT -5 AND 4.
WITH THAT, the equation of the line is y = 4x - 5.
I HOPE IT WAS HELPFUL.
Help PLZ I am failling math
A duck population is modeled by
Pn=200⋅(1.02)n
where n is the number of years after the year 2010. How many ducks does the model predict for the year 2025? Round to the nearest whole number of ducks.
Answer:
3060 ducks
Step-by-step explanation:
There are 2 possibilities here. We can plug in 15 for n since 2025 is 15 years after 2010, or we can graph it and find the value.
If we do the first method, we have
[tex]P=200*1.02(15)\\P=3060[/tex]
So the population in 2025 is 3060 ducks.
We can check our answer by graphing on a calculator. If we enter the equation and then use calc>value we can see that when x=15, y=3060.
Hope this helps!
Find the value of x that will make A||B.
А
5X
(4x + 12
x
< = [?]
Answer:
x=12
Step-by-step explanation:
Lines A and B are parallel, with a transversal passing through them.
The properties of two parallel lines and a transversal tells us that angles 5x and 4x+12 must be equal, because they are a pair of alternate exterior angles.
To solve for x, we do 5x=4x+12
Subtract 4x on both sides
x=12
Answer: 12
Step-by-step explanation:
A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. What is the 90% confidence interval for the mean score, , of all students taking the test?
Answer:
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 29.5
Standard deviation r = 5.2
Number of samples n = 59
Confidence interval = 90%
z-value (at 90% confidence) = 1.645
Substituting the values we have;
29.5+/-1.645(5.2/√59)
29.5+/-1.645(0.676982337100)
29.5+/-1.113635944529
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
can someone help me out with this problem?...REAL ANSWERS ONLY