Which group of measurements could be the side lengths of a right triangle?
A.
57 in, 86 in, 95 in
B.
47 in, 76 in, 95 in
C.
57 in, 76 in, 95 in
D.
57 in, 76 in, 105 in
Find the slope of the line that contains the points named. C(3, 8), D(-2, 5) -3/5 3/5 5/3
Answer: [tex]\dfrac{3}{5}[/tex]
Step-by-step explanation:
The slope of a line passing through two points X(a,b) and Y(c,d) is given by :-
[tex]m=\dfrac{d-b}{c-a}[/tex]
Given points : C(3, 8) and D(-2, 5)
Then , the slope of a line passing through two points C(3, 8) and D(-2, 5) is given by :-
[tex]m=\dfrac{5-8}{-2-3}=\dfrac{-3}{-5}=\dfrac{3}{5}[/tex]
Hence, the slope of the line that contains the points C(3, 8) and D(-2, 5) is [tex]\dfrac{3}{5}[/tex]
.
Lena runs 2/3 mile each day she wants to know how many miles she has to run before she has has run a whole number
Which of the following is the image of D after a rotation of 90° about the origin?
(-2, 1)
(2, 1)
(-1, -2)
Answer:
The answer is (2,1)
Step-by-step explanation:
Given a vector in the plane, we can describe the rotation as a function :
X is the vector
T is the function that represents the rotation
[tex]T(X)=AX[/tex]
Where A is the rotation matrix
The rotation matrix about the origin in counterclockwise sense for an angle ''a'' is :
[tex]A=\left[\begin{array}{cc}cos(a)&-sin(a)\\sin(a)&cos(a)\end{array}\right][/tex]
If we replace ''a'' by 90 ⇒
[tex]\left[\begin{array}{cc}cos(90)&-sin(90)\\sin(90)&cos(90)\\\end{array}\right][/tex]
[tex]A=\left[\begin{array}{cc}0&-1\\1&0\\\end{array}\right][/tex]
If we want to rotate the vector D = (1,-2) :
[tex]T(D)=AD=\left[\begin{array}{cc}0&-1\\1&0\\\end{array}\right]\left[\begin{array}{c}1&-2\end{array}\right]=\left[\begin{array}{c}2&1\end{array}\right][/tex]
The rotation of the vector (1,-2) about the origin for an angle of 90 and in counterclockwise sense is (2,1)
If logx 2 =1/3 what is the value of x
The population P(t) of a species satisfies the logistic differential equation dP/dt= P(2-(P/5000)) where the initial population 3,000 and t is the time in years. What is the lim t>infinity P(t)?
The lim t>infinity P(t) is 5,000, which is the carrying capacity of the species.
Explanation:The logistic differential equation dP/dt = P(2-(P/5000)) models the population growth of a species. To find the lim t>infinity P(t), we need to find the stable population when t becomes very large. In this equation, the population growth rate is initially exponential, but as the population approaches its carrying capacity (Q), the growth rate slows down and levels off to zero.
Solving the differential equation, we find that the equation represents logistic growth. The solution to the equation is P(t) = Q / (1 + (Q/Po)e^(-rt)), where Po is the initial population, Q is the carrying capacity, and r is the growth rate.
In this case, the initial population is given as 3,000. To find the carrying capacity (Q), we set dP/dt = 0 and solve for P. Substituting the values into the equation, we find Q = 5,000.
As t becomes very large, e^(-rt) approaches 0, and the equation simplifies to P(t) = Q. Therefore, the lim t>infinity P(t) is 5,000, which is the carrying capacity of the species.
Two or more lines on a graph together is known as a
On a particular Saturday, 60% of the visitors to an art museum were students. Iff 144 students visited the museum, how many total visitors did the art museum had Saturday?????????? Will be fan and rewarded a medal if solved.
(TIMED)Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan uses 1/3 cup of oil and 2 eggs. For a tray of bran muffins, Alan uses 1/2 cup of oil and 1 egg. Alan has 4 cups of oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan wants to maximize the money raised at the bake sale. Let x represent the number of blueberry muffins and y represent the number of bran muffins Alan bakes. What are the constraints for the problem?
Answer:
Let x represent the number of blueberry muffins [tex]x\geq 0[/tex]
Let y represent the number of bran muffins [tex]y\geq 0[/tex]
Tray of blueberry muffins: 1/3 cup of oil & 2 eggs
Tray of bran muffins: 1/2 cup of oil & 1 egg
Alan has 4 cups of oil and 12 eggs on hand.
He sells a tray of blueberry muffins for $12 each.
He sells a tray of bran muffins for $9 each.
[tex]\frac{x}{3}+\frac{y}{2}\leq 12[/tex]
The constraints for the problem are 4 cups of oil and 12 eggs.
Alan should not exceed 4 cups of oil and 12 eggs as it will create shortage. He should get the correct proportion of both the muffins to maximize his profit.
In equation form it is : [tex]\frac{x}{3}+\frac{y}{2}\leq 4[/tex]
For a machine, the output force is 20 N, and the output distance is 4 m. Which must be true about the work input? A. It equals 80 J. B. It must be greater than 80 J. C. It must be less than 80 J.
how do graphs of y=1/x and y=5/(x+6) compare? I know the second graph shifts to left by 6 units but does it move down and how many units?
Answer:
y = 5/x +6 makes your raises your graph 6 units higher.
Step-by-step explanation:
does the following function represent exponential growth, exponential decay or niether? How can you tell? Y=2*.68^x
simplify the expression
9(10 + 5) / (6 - 5)
A.95
B.135
C.85
D.17
What is the reciprocal of 4 3/7? Please help!
The reciprocal of number 4 3/7 is 7/31.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
Given the mixed number
4 3/7 = (7×4 + 3)/7
⇒ 31/7
Now reciprocal is nothing but an interchange of numerator and denominator.
So
Reciprocal of 31/7 → 7/31
Hence "The reciprocal of number 4 3/7 is 7/31".
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Voluntary sampling is one type of sampling method that is not probability based. This means that
a)each member of a population is equally likely to be chosen for the survey.
b)the results of the survey cannot reliably be extended and generalized.
c)the likelihood of a member of the population volunteering to be surveyed is not probable.
d)the results of the survey are not mathematically probable.
Answer:
b)the results of the survey cannot reliably be extended and generalized.
Step-by-step explanation:
Voluntary sampling is a type of convenience sample; it is convenient for the researcher to perform.
However, voluntary sampling can lead to bias; usually only people who feel strongly one way or the other about the survey will volunteer to be members of a sample.
Since there is a possibility of bias, the results of the survey cannot reliably be extended and generalized.
The correct statement is,
b) the results of the survey cannot reliably be extended and generalized.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, We know that;
Voluntary sampling is a type of convenience sample and it is convenient for the researcher to perform.
However, voluntary sampling can lead to bias; usually only people who feel strongly one way or the other about the survey will volunteer to be members of a sample.
Now, Since there is a possibility of bias,
Hence, the results of the survey cannot reliably be extended and generalized.
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A bag of marbles contains 5 red, 10 blue, 3 yellow and 7 green marbles. lisa chooses one marble at random from the bag. what is the probability of not choosing a red marble?
5. (10.01 MC) If sin θ = 1 over 4 and tan θ > 0, what is the value of cos θ? (1 point)
To find the value of cos θ when sin θ = 1/4 and tan θ > 0, use the Pythagorean identity. As the angle is in the first quadrant, cos θ is positive and equals the square root of 15/16 or √15/4.
If sin θ = 1/4 and tan θ > 0, we need to determine the value of cos θ. When the sine of an angle is positive and the tangent is positive, we know the angle must be in the first quadrant, where all trigonometric functions are positive. To find cos θ, we utilize the Pythagorean identity sin2 θ + cos2 θ = 1. Rewriting this identity for cos θ, we get cos2 θ = 1 - sin2 θ.
Substituting the given value of sin θ, we have:
cos2 θ = 1 - (1/4)2
cos2 θ = 1 - 1/16
cos2 θ = 15/16
Since θ is in the first quadrant, and cos θ is positive, the value of cos θ is the positive square root of 15/16:
cos θ = √(15/16)
cos θ = √15/4 or approximately 0.9682
write an equation of the line that is parallel to the line y = -x + 4 and passes through the points 0, 10.
Please help me!
People who reach retirement age will have accidents and health issues. True False
Answer:
Its FALSE on odyssey
Jared is a boxer. He can box in the Heavyweight class if his mass is at least 100 \text{ kg}100 kg100, space, k, g by the end of the month. Write an inequality that is true only for masses (m)(m)left parenthesis, m, right parenthesis at which Jared can box in the Heavyweight class.
Answer:
Inequality for the given condition for the weight (m) ≥ 100 (greater than or equal to)
Explanation:
let suppose weight of Jared is "m" according to the given question.
His weight should be atleast (greater than or equal to ) 100 kilogram in order to box is heavy weight class.
So, our inequality equation for the above condition is :
m is greater than or equal to 100
m ≥ 100 That's the final answer.
I hope it will help you.
On a hot, sunny day, a random selection of people in a small town were given a photo of a skating rink in a big city and asked the following question: "Do you think our town should look into building an outdoor skating rink?" Which of the following might be a problem with the survey?
Select one:
a. Timing
b. Privacy
c. Bias
d. Cost
check my work please will give medals if you tell if this is right or not!!!
Let f(x)=x+5 and g(x)=x^2. find (g o f) (4)
A. 9 <--- my answer
B. 81
C. 20
D. 1
2. police can estimate the speed of a vehicle before the brakes are applied using the formula 0.75d=s^2/30.25, where s is the speed in miles per hour and d is the length of the vehicle's skid marks. what was the approximate speed of a vehicle that left skid marks measuring 140 feet?
A. about 10 miles per hour <-- my answer
B. about 75 miles per hour
C. about 15 miles per hour
D. about 56 miles per hour,
Runaround Corporation sells running shoes and during January they ran production machines for??? 20,000 hours total and incurred??? $9,000 in maintenance costs. During July they ran production machines for??? 14,000 hours total and incurred??? $7,200 in maintenance costs.
Based on this??? data, what is the cost formula for maintenance??? costs?
The cost formula for maintenance cost is : y = 3.33x + 10000
The cost formula for maintenance cost can be written in the form :
y = bx + c b = slope ; c = interceptUsing the pair of points ;
(9000, 20000) ; (7200, 14000)Slope = (14000 - 20000) / (7200 - 9000)
Slope = -6000 / 1800
Slope, b = 3.33
We have ;
y = 3.33x + c
Using the point (9000, 20000)
20000 = 3.33(9000) + c
20000 = 30000 + c
c = 10000
Now we have;
y = 3.33x + 10000
The cost formula for maintenance cost is : y = 3.33x + 10000
darren has 3/4 of a gallon of soil.he needs to plant 5 small plants.if he splits the soil evenly between the plants.how much soil will each plant get?
longer
congruent
shorter
proportional
The storage container below is in the shape of a rectangular prism with a height of 6 feet and a length that is 2 feet more than its width. recall that the formula for the volume of a rectangular prism is v = l · w · h, where l is the length, w is the width, and h is the height. write the equation that represents the volume of the storage container in terms of its width.
Answer:
V = 6w² + 12w
Step-by-step explanation:
20 POINTS!! EASY QUESTION! WILL MARK BRAINLIEST!! READ THE INFO! THEN FILL IN THE BLANKS!
The cost for a single class session for each dance class is below.
Clodagh’s Dance = $6.00
New Steps = $7.50
Stepping High = $6.50
The class hours are below.
Clodagh’s Dance = 3:00pm - 4:00pm
New Steps = 4:00pm - 5:30pm
Stepping High = 9:00am - 10:15am
How would these answers change if you were to write the unit rate in cost per hour?
Fill in the blanks!
Dance Classes | Total Hours for Each Payment | Cost Per Hour
| |
Clodagh’s Dance | $6.00 | $6.00
New Steps | $7.50 | _____
Stepping High | $6.50 | _____
To find the unit rate in cost per hour, you will write the amount of money over the total time for each class. Then divide the cost by the time to find the unit rate.
New Steps: $7.50/1.5 hours = $5 per hour
Stepping High: $6.50/1.25 hours = $5.20 per hour
Answer:
To find the unit rate in cost per hour, you will write the amount of money over the total time for each class. Then divide the cost by the time to find the unit rate.
New Steps: $7.50/1.5 hours = $5 per hour
Stepping High: $6.50/1.25 hours = $5.20 per hour
The trinket store is open for 14 hours per day. They sell an average of 5 trinkets per hour. The back storeroom currently has 560 trinkets in it
Use the table below to answer this question:
x y
−1 -3
0 -1
2 3
Find the average rate of change for the given function from x = −1 to x = 2.
Find the slope of the line that passes through the points (2 , 0) and (2 , 4).
The slope of the line passing through the given points (2, 0) and (2, 4) is ∞ (undefined).
Given the following data:
Points on the x-axis = (2, 2)Points on the y-axis = (0, 4)To find the slope of the line passing through the given points (2, 0) and (2, 4):
The slope of a straight line.Mathematically, the slope of a line is given by the following formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the points into the formula, we have;
[tex]Slope, \;m = \frac{4 - 0}{2 - 2}\\\\Slope, \;m = \frac{4}{0}[/tex]
Slope, m = ∞ (undefined).
Note: A mathematical expression is considered to be undefined when its denominator is zero (0).
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