Answers
Answer:
12) F.0
13) 3/2
Step-by-step explanation:
12)
(5, 0) and (10, 0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0-0)/(10-5)
m = 0
13)
(3, 2) and (-1, -4)
Slope:
m=(y2-y1)/(x2-x1)
m=(-4-2)/(-1-3)
m=(-6)/(-4)
m= 3/2
Related Questions
Y=-4. Y=x-8 solve for substitution
Answers
Or x=4, y=-4
Answer:
ok
Step-by-step explanation:
I think
If you wanted to put a fence around your garden, would you find the perimeter or the area of the garden??
Answers
Answer:
U would find the perimeter.
Step-by-step explanation:
Simply each answer .
Answers
Answer:
मुझे गर्म गले पसंद है
Step-by-step explanation:
Sofia asked 50 students at her school whether they prefer music class or art class as an
elective. This table shows the relative frequencies from the survey.
Answers
Answer:
1 and 4
or say it as
More seventh graders prefer art class to music class as an elective
There is no association between a student's grade level and the electives they prefer
A circle passes through the points (3,2) and (7,2) and has radius 2√2. Find the two possible equations for this circle
Answers
Answer:
18 because of its addition
Step-by-step explanation:
πr²=3+2+7+2+2+2
=5+9+4
=18
What is the area of a square that has 2/4 units on each side
Answers
Answer:
1/4 of 0.25
Step-by-step explanation:
2/4 x 2/4 = 1/4
at first an athlete jogs at 4 miles per hr and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours. how long does the athlete jogs at each speed? the athlete jogged ? hours at a speed of 4 miles per hr and ? hour(s) at a speed of 6 miles per hour?
Answers
Answer:
The athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.
Step-by-step explanation:
Given that at first an athlete jogs at 4 miles per hour and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours, to determine how long does the athlete jogs at each speed the following calculation must be performed:
4 x 1.5 + 6 x 0 = 6
4 x 1 + 6 x 0.5 = 7
4 x 0.75 + 6 x 0.75 = 7.5
4 x 0.5 + 6 x 1 = 8
Therefore, the athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.
If ∠R and ∠S are supplementary angles and m∠R = 39°, find m∠S.
Answers
Answer: m∠S=141°
Step-by-step explanation:
Here, we need to know the definition of supplementary angles. Supplementary angles are two angles that add up to 180°. If you need a more detailed graphical explanation, please refer to the attachment below.
---------------------------------------------------------------------------------------------
Given
m∠R=39°
Solve
Given
m∠R + m∠S=180
Substitute value
39 + m∠S=180
Subtract 39 on both sides
39 + m∠S - 39=180 - 39
m∠S=141
Hope this helps!! :)
Please let me know if you have any questions.
Shown above is a slope field for the differential equation dydx=y2(4−y2). If y = g(x) is the solution to the differential equation with the initial condition g(−2)=−1, then, limx→∞g(x) is
Answers
The value limx→∞g(x) is zero option (c) is correct.
What is a differential equation?The differential equation involves the function and its derivative to represent a relationship between the functions and their derivative. In simple words, the differential equation is the mathematical relation that consists of one or more functions with its derivative.
We have a differential equation:
[tex]\rm \frac{dy}{dx} =y^2(4-y^2)[/tex]
[tex]\rm\frac{dy}{y^2(4-y^2)} = dx[/tex] (rearranging the equation to solve)
[tex]\int \rm\frac{dy}{y^2(4-y^2)} = \int dx[/tex]
[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+c[/tex] (after integrating both sides)
For the given initial condition g(-2) = -1
When x = -2, y = -1
[tex]\rm \frac{ln(|-1+2|)}{16} -\frac{1}{4(-1)} -\frac{ln(|-1-2|)}{16} = -2+c[/tex]
[tex]\rm \frac{1}{4} -\frac{ln(|-3|)}{16}+2 = c[/tex]
The value of c = 2.18
The equation we get:
[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+2.18[/tex]
As we can see the value of g(-2) is negative and from the graph of the above equation it goes to infinity and it touches the x-axis at the infinity.
The value [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] when x reaches infinity the value of function g(x) becomes zero. ie.
[tex]\displaystyle \lim_{x \to \infty}g(x) =0[/tex]
Thus, the value [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] is zero option (c) is correct.
Learn more about the differential equation here:
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Malik is using a cookbook to make a recipe, but he cannot find his
measuring cups! He has, however, found a tablespoon. Inside the
back cover of the cookbook, it says that 1 cup = 16 tablespoons.
Determine how he could use the tablespoon to measure out the
following ingredients. Show each step of your solution.
• 2 cups of flour
• 12 cup sunflower seeds
• 194 cup of oatmeal in
Answers
Answer:
a. Given a number of tablespoons, find the number of cups:
1. Since he needs 2 cups, he can use 2×16=32 tablespoons.
2.Since he needs 1/2 cup, he can use 1/2×16=8 tablespoons.
He needs 1 1/4 cups. 1 cup is 16 tablespoons. 1/4 cup is 1/4×16=4 tablespoons. So altogether he needs 16+4=20 tablespoons.Given a number of cups, find the number of tablespoons:
I already found that 20 tablespoons is 1 1/4 cups. So for 28 tablespoons I need an additional 8 tablespoons, or an additional 1/2 cup. 1 1/4+1/2=1 3/4, so 28 tablespoons gets him 1 3/4 cups. (Alternatively, we might say that 1 tablespoon is 1/16 cups. 1/16×28=28/16, which we can rewrite as 1 12/16 or 1 3/4.)
I notice that to convert from tablespoons to cups, I always divide by 16. 6÷16=6/16, which we can write as 1 3/8. (Alternatively, 1 tablespoon is 1/16 cups. 1/16×6=6/16, which we can rewrite as 1 3/8.)
Step-by-step explanation:
Acellus
Find Y.
Round to the nearest tenth.
20 ft/
\22 ft
Y
Х 18 ft
Y= [? ]°
Law of Cosines: c2 = a2 + b2 - 2ab cos C
Enter
Answers
Answer:
58.9
Step-by-step explanation:
y²=x²+z²-2×z cos(y)
20²=22²+18²-2(22)(18) cos (y)
400=484+324-792 cos(y)
-408=-772 cos (y)
408/792=cos y
y=cos⁻¹(408/792)=58.9
hope it helps...
have a great day!!
y = x + 45
What is the y-intercept of the relationship?
A. 45
B. x + 45
C. x
D. y - 45
Answers
Answer:
A. 45
Step-by-step explanation:
Answer: A. 45
Step-by-step explanation:
In the y=mX+b formula the number by itself with no variable or b is the y-intercept.
Canadians who visit the United States often buy liquor and cigarettes, which are much cheaper in the United States. However, there are limitations. Canadians visiting in the United States for more than 2 days are allowed to bring into Canada one bottle of liquor and one carton of cigarettes. A Canada Customs agent has produced the following joint probability distribution of the number of bottles of liquor and the number of cartons of cigarettes imported by Canadians who have visited the United States for 2 or more days.
a. Find the marginal probability distribution of the number of bottles imported.
P(0 Bottles) =
P(1 Bottle) =
b. Find the marginal probability distribution of the number of cigarette cartons imported.
P(0 Cartons) =
P(1 Carton) =
c. Compute the mean and variance of the number of bottles of liquor imported.
Mean =
Variance =
d. Compute the mean and variance of the number of cigarette cartons imported.
Mean =
Variance =
e. Compute the covariance and the coefficient of correlation.
Covariance =
Coefficient of Correlation =
Answers
Answer:
(a): Marginal pmf of x
[tex]P(0) = 0.72[/tex]
[tex]P(1) = 0.28[/tex]
(b): Marginal pmf of y
[tex]P(0) = 0.81[/tex]
[tex]P(1) = 0.19[/tex]
(c): Mean and Variance of x
[tex]E(x) = 0.28[/tex]
[tex]Var(x) = 0.2016[/tex]
(d): Mean and Variance of y
[tex]E(y) = 0.19[/tex]
[tex]Var(y) = 0.1539[/tex]
(e): The covariance and the coefficient of correlation
[tex]Cov(x,y) = 0.0468[/tex]
[tex]r \approx 0.2657[/tex]
Step-by-step explanation:
Given
x = bottles
y = carton
See attachment for complete question
Solving (a): Marginal pmf of x
This is calculated as:
[tex]P(x) = \sum\limits^{}_y\ P(x,y)[/tex]
So:
[tex]P(0) = P(0,0) + P(0,1)[/tex]
[tex]P(0) = 0.63 + 0.09[/tex]
[tex]P(0) = 0.72[/tex]
[tex]P(1) = P(1,0) + P(1,1)[/tex]
[tex]P(1) = 0.18 + 0.10[/tex]
[tex]P(1) = 0.28[/tex]
Solving (b): Marginal pmf of y
This is calculated as:
[tex]P(y) = \sum\limits^{}_x\ P(x,y)[/tex]
So:
[tex]P(0) = P(0,0) + P(1,0)[/tex]
[tex]P(0) = 0.63 + 0.18[/tex]
[tex]P(0) = 0.81[/tex]
[tex]P(1) = P(0,1) + P(1,1)[/tex]
[tex]P(1) = 0.09 + 0.10[/tex]
[tex]P(1) = 0.19[/tex]
Solving (c): Mean and Variance of x
Mean is calculated as:
[tex]E(x) = \sum( x * P(x))[/tex]
So, we have:
[tex]E(x) = 0 * P(0) + 1 * P(1)[/tex]
[tex]E(x) = 0 * 0.72 + 1 * 0.28[/tex]
[tex]E(x) = 0 + 0.28[/tex]
[tex]E(x) = 0.28[/tex]
Variance is calculated as:
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
Calculate [tex]E(x^2)[/tex]
[tex]E(x^2) = \sum( x^2 * P(x))[/tex]
[tex]E(x^2) = 0^2 * 0.72 + 1^2 * 0.28[/tex]
[tex]E(x^2) = 0 + 0.28[/tex]
[tex]E(x^2) = 0.28[/tex]
So:
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
[tex]Var(x) = 0.28 - 0.28^2[/tex]
[tex]Var(x) = 0.28 - 0.0784[/tex]
[tex]Var(x) = 0.2016[/tex]
Solving (d): Mean and Variance of y
Mean is calculated as:
[tex]E(y) = \sum(y * P(y))[/tex]
So, we have:
[tex]E(y) = 0 * P(0) + 1 * P(1)[/tex]
[tex]E(y) = 0 * 0.81 + 1 * 0.19[/tex]
[tex]E(y) = 0+0.19[/tex]
[tex]E(y) = 0.19[/tex]
Variance is calculated as:
[tex]Var(y) = E(y^2) - (E(y))^2[/tex]
Calculate [tex]E(y^2)[/tex]
[tex]E(y^2) = \sum(y^2 * P(y))[/tex]
[tex]E(y^2) = 0^2 * 0.81 + 1^2 * 0.19[/tex]
[tex]E(y^2) = 0 + 0.19[/tex]
[tex]E(y^2) = 0.19[/tex]
So:
[tex]Var(y) = E(y^2) - (E(y))^2[/tex]
[tex]Var(y) = 0.19 - 0.19^2[/tex]
[tex]Var(y) = 0.19 - 0.0361[/tex]
[tex]Var(y) = 0.1539[/tex]
Solving (e): The covariance and the coefficient of correlation
Covariance is calculated as:
[tex]COV(x,y) = E(xy) - E(x) * E(y)[/tex]
Calculate E(xy)
[tex]E(xy) = \sum (xy * P(xy))[/tex]
This gives:
[tex]E(xy) = x_0y_0 * P(0,0) + x_1y_0 * P(1,0) +x_0y_1 * P(0,1) + x_1y_1 * P(1,1)[/tex]
[tex]E(xy) = 0*0 * 0.63 + 1*0 * 0.18 +0*1 * 0.09 + 1*1 * 0.1[/tex]
[tex]E(xy) = 0+0+0 + 0.1[/tex]
[tex]E(xy) = 0.1[/tex]
So:
[tex]COV(x,y) = E(xy) - E(x) * E(y)[/tex]
[tex]Cov(x,y) = 0.1 - 0.28 * 0.19[/tex]
[tex]Cov(x,y) = 0.1 - 0.0532[/tex]
[tex]Cov(x,y) = 0.0468[/tex]
The coefficient of correlation is then calculated as:
[tex]r = \frac{Cov(x,y)}{\sqrt{Var(x) * Var(y)}}[/tex]
[tex]r = \frac{0.0468}{\sqrt{0.2016 * 0.1539}}[/tex]
[tex]r = \frac{0.0468}{\sqrt{0.03102624}}[/tex]
[tex]r = \frac{0.0468}{0.17614266944}[/tex]
[tex]r = 0.26569371378[/tex]
[tex]r \approx 0.2657[/tex] --- approximated
how do I get the answer to this
Answers
Quick answers please!!!!!!
I literally have no idea
Answers
Answer:
The solution to this question is 104.25cm²
Step-by-step explanation:
u
Answer:
hi
Step-by-step explanation:
i think so
A=
[tex] = \pi \times {r}^{2} [/tex]
=3,14×5,76²=104,177
hope it helps
have a nice day
Without solving, tell what is true of the product of 3 and 2/3 =?
Answers
Answer:
3 is a whole number while 2/3 is less than 3
Step-by-step explanation:
The correct expression for a number which is 9 times as big as the number obtained after p has been increased
by 4
Answers
Answer:
9(p + 4)
Step-by-step explanation:
One of the unknown variable is p.
First of all, we know that the number is 9 times as big (multiplication) as the new number obtained through the addition of four to p i.e (p + 4).
Translating the word problem into an algebraic expression, we have;
9 * (p + 4) = 9(p + 4)
Simplifying further, we have;
9p + 36
Helppp plssssssssssss
Answers
Answer:
The answer is C
Step-by-step explanation:
If you plot them carefully.
someone anwser this please
Answers
Square root 81 = one side length = 9m volume = 9^3 = 729
Verify the following identity and show steps
(Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)
Answers
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
A decimal that stops (like 2.48) is which type of number?
A.rational
B.whole number
C.irrational
D.integer
Answers
Answer: B rational
Step-by-step explanation:
A computer is on sale for 80% of the original price. If the computer originally cost $400, what is its sale price?
Answers
Answer:
$320
Step-by-step explanation:
400*0.8(decimal form of 80%) = 320
Answer:$80
Step-by-step explanation:
$400x0.80=$320 off
400-320=$80
Or
$400 x 0.20= $80 sale price
The function g is defined by g(x) = x² +4.
Find g(5n)
Answers
Answer:
g(5n)=5n^2+4
Step-by-step explanation:
Substitute 5n for x
5n^2+4
You can't really do much with this so that is the answer
PLS HELP FAST ITS THE LAST DAY TO DO THIS TEST NO LINKSSSS
An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.
When this linear relationship is graphed, which value represents the slope?
A. 3
B. 40
C. 75
D. 195
Answers
Answer:
40 because every hour he charges 40 dollas so its 40x+75=y
Step-by-step explanation:
The slope is 40 because every hour he charges 40 dollars so its 40x+75=y
We have given that,
An electrician charges $40 per hour plus an initial service fee of $75. He charges a customer $195 for 3 hours of work.
We have to determine,
When this linear relationship is graphed, which value represents the slope.
What is the slope?
The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as a rising overrun.
The slope is 40 because every hour he charges 40 dollars so its 40x+75=y
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if y=12 and x=89, then what is the value of z?
Answers
Answer:
z = 166°
Step-by-step explanation:
Given:
x = 89
y = 12
An angle with its vertex in a circle = ½(intercepted arcs)
Thus:
x = ½(y + z)
Substitute
89 = ½(12 + z)
Multiply both sides by 2
2(89) = 12 + z
178 = 12 + z
178 - 12 = z
z = 166°
Find the area of the shaded region in the figure below, if the radius of the outer circle is 8 and the radius of the inner circle is 4. Keep your answer in terms of π.
Answers
Answer:
48 π
Step-by-step explanation:
Area of Circle =πr∧2
Big Circle Area = π(8)∧2 = 64π
Small Circle Area =π(4)∧2= 16π
Shaded Region = 64π - 16π = 48π
using angle A as the reference angle, what is the ratio of the opposite side to the adjacent side?
write the ratio as a fraction
Answers
Answer:
20/21
Step-by-step explanation:
Opposite / Adjacent = RT / AR
You have to find RT
Use the Pythagorean Theorem
AR^2 + TR^2 = AT^2
21^2 + TR^2 = 29^2
441 + TR^2 = 841 Subtract 441 from both sides
TR^2 = 841 - 441
TR^2 = 400
sqrt(TR^2) = sqrt(400)
TR = 20
Ratio: TR / AR = 20/29
Help me with the math pretty easy
Answers
A bag of marbles contains 4 red marbles, 5 yellow marbles, 2 green marbles, and
7 blue marbles. You draw one marble from the bag. Select ALL FALSE statements.
1.) The probability of drawing a red marble is 33%
2.) The probability of drawing a green marble is 1/9.
3.) The probability of drawing a blue marble is twice as much as the probability of
drawing a green marble.
4.) It is more likely to choose a red marble than a green marble.
Answers
Answer:2 and 3
Step-by-step explanation:
They just aren't correct im not sure how to explain
Dominic is going to invest $1,800 and leave it in an account for 17 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Dominic to end up with $4,700?
Answers
Answer: 5.8%
Step-by-step explanation: got it right lol