The equation that gives the length of an arc, denoted by s, intersected by a central angle of 3 radians in a circle with a radius of 4 inches is:
s = r * θ
where s is the arc length, r is the radius of the circle, and θ is the central angle in radians.
Substituting the given values:
s = 4 * 3
s = 12 inches
Therefore, the length of the arc intersected by a central angle of 3 radians in a circle with a radius of 4 inches is 12 inches.
It is important to note that in this case, the equation s = r * θ simplifies to s = r * θ because the radius is already given as 4 inches. If the radius were different, the equation would be s = (radius) * θ.
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please help ASAP !!
Choose the system of equations that matches the following graph:
Picture included!
Answer:
Choice 2
Step-by-step explanation:
If im wrong im so sorry
If im right can i hav brainliest plz?
Answer:
b
Step-by-step explanation:
So you start at x-axis work your way down to the y-axis and you get your answer.
Ant Farming You have an ant farm with 33 ants. The population of ants in your farm will double
every 3 months. The table shows the population growth of the ants over nine months. Decide whether
the table represents a linear function or a nonlinear function. After one year, how many ants will there
be in the ant farm?
Population of Ants
Number of
0 3 6 9
Months
Population 33 66 132 264
The table represents a __
function.
After one year there will be __ ants in the ant flarm.
Answer:
linear, 264*2 = 528
Step-by-step explanation:
help quickly please! question : Put the following equation of a line into slope intercept form, simplifying all fractions.
3y - 9x = 21
Answer:
y = -3x -7
Step-by-step explanation:
Subtract 21 and it would be 3y - 9x -21 = 0
Then divide by three and simplify
So your answer would be y = -3x - 7
PLEASE ANSWER ASAP!! I'LL GIVE THE FIRST PERSON BRAINLIEST!!
Jessica is selling books during the summer to earn money for college. She
earns a commission on each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking
door-to-door, she figures out that her weekly earnings are approximately a
a linear function of the number of doors she knocks on.
She writes the equation of the function like this: E(X) = 7x - 25, where x is the
number of doors she knocks on during the week and E(x) is her earnings for
the week in dollars.
Which of the following are reasonable interpretations of the y-intercept of
Jessica's function?
Check all that apply.
A. Her expenses are $25 per week.
B. If she does not knock on any doors at all during the week, she will lose $25.
C. She will lose $7 per week if she does not knock on any doors.
D. She can earn $7 per week even if she does not knock on any doors.
Answer:
B.
Step-by-step explanation:
You convert this to y=mx+b and b=y-value. So, the answer is B.
f(x) = 3+3x-1+3x^4 , g(x) = -x^3+x^2-x+2-x^4. tính f(x)+g(x) và f(x) -g(x)
Step-by-step explanation:
= 3+3x-1+3x^4 , g(x) = -x^3+x^2-x+2-x^4. tính f(x)+g(x) và f(x) -g(x)
I can find the 3 third side of the triangle
Answer:
15
Step-by-step explanation:
First side is 20
Second side is 20 * (3/2), as it is 1 and 1 half times longer than the first
Second side is 30(as calculated above)
65-20-30 = 15
Mr. Green washed 3 8 of his laundry. His son washed 1 3 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
Mr.Green washed the most laundry with .375 of it done
what remains is .291
Step-by-step explanation:
3/8 or 3 divided by 8 is .375
1/3= .3333 repeating or rounded to .334
.375+.334= .709
1.000 - .709= .291
hopes this helps
Answer:
1. Mr. Green washed more laundry 2. 7/24 of the laundry still needs to be washed
Step-by-step explanation:
If you find a common denominator you can compare them. I used the common denomiator of 24. Next, you need to change both fractions so that they have the same denominator. To do that we have to multiply both the numerator and denominator of 3/8 by 3. When you do that, you end up with 9/24. Then you have to do the same for 1/3 but this time multiplying the numerator and the denominator by 8. That will leave us with 9/24 and 8/24 which proves that Mr. Green did more laundry.
For the second question, we will need to add the two amounts of laundry already washed and then find out how much remains from there. We can use the fractions that already have a common denominator from the explanation above. Now we have to add 9/24 and 8/24 together. Once we add them together, we will get 17/24 which is how much laundry is already done. Now, we need to take the remaining amount from 17/24 which is 7/24, and that represents how much laundry sitll needs to be washed.
(sorry if this is confusing but I hope it helped!)
Why do banks pay you interest?
A. They want you to become rich
B. With their extra money, they want to make their customers happy
C. They are borrowing your money and rewarding you for keeping your money with them
D. If they find change on the ground, they add it to the account of whoever they think dropped it
Step-by-step explanation:
option C . they are borrowing your money and rewarding you for keeping money with them
Select the correct answer.
Which graph represents this equation?
Y=3/2x to the second -6x
Answer:
the answer is D
Step-by-step explanation:
First you make the y = 0 then you swap the sides
3/2x^2-6x=0 then you factor the expressions X * (3/2x-6)=0. when the product of factors 0, one of the factors are 0. X=0 finally solve for the other X. 3/2x-6=0 X=0 X=4
A cricket club has 14 members that are used to field 11 distinct positions on the cricket field. How many ways can the club assign 11 of the 14 members to each of the distinct positions?
The number of ways the cricket club can assign 11 of its 14 members to the 11 distinct positions on the cricket field is 8,008,840, using the concept of combinations.
In the explanation, we'll provide a step-by-step calculation using the concept of combinations.
To summarize the answer, there are 8,008,840 possible ways to assign 11 members to the 11 positions.
To explain the calculation, we'll use the concept of combinations. In this scenario, we need to select 11 members out of 14 without regard to their order or position. Since the order doesn't matter, we use combinations rather than permutations.
The formula for combinations is given by C(n, r) = n! / (r! * (n - r)!), where n is the total number of members (14) and r is the number of members to be selected (11).
Using this formula, we can calculate the number of ways to assign 11 members to the 11 positions as follows:
C(14, 11) = 14! / (11! * (14 - 11)!)
= 14! / (11! * 3!)
= (14 * 13 * 12 * 11!) / (11! * 3 * 2 * 1)
= (14 * 13 * 12) / (3 * 2 * 1)
= 2184
Therefore, there are 2,184 possible ways to assign 11 members to the 11 positions on the cricket field.
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PLEASE HELP ME ANSWER ASAP
L = k/f, where k is the variational constant, is the formula for the inverse variation.
Inverse proportionsA mathematical relationship between two variables in which they vary in opposing directions is referred to as an inverse proportion, also known as an inverse relationship. When one variable increases while the other decreases, this is known as having inverse proportions.
Using the variables length of violin 'l' and frequency of vibration 'f'
If the length of violin 'l' is inversely proportional to the frequency of vibration 'f', this is expressed as:
l α 1/f
l = k/f
Hence the formula for the inverse variation is l = k/f where k is the constant of variation.
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please help asap!
hhhhhhhhhh
Answer:
Step-by-step explanation:
11). f(x) = x → f(x) = x - 1
Translation → Function f(x) has been shifted 1 units down
12). f(x) = 2x → f(x) = 2(x + 2)
Translation → Function f(x) has been shifted horizontally left by 2 units
13). f(x) = 3x + 2 → f(x) = 3x - 2 + 2
Translation → Function f(x) has been shifted by 2 units down.
14). f(x) = 2x - 4 → f(x) = 2(x + 8) - 4
Translation → Function f(x) shifted horizontally left by 8 units
Solve for x:
(5x + 12) = 18
Answer:
x=6/5
Step-by-step explanation:
5x+12=18→ 5x=18-12
5x=6 divide
x=6/5
Answer:
x=6/5
Step-by-step explanation:
(5x+12)=18
5x+12=18
5x=18-12
5x=6
x=6/5
Please make sure the answer is right I only have 6 questions help?
Answer:
i told you the answer is -8
Answer:all
recall that the inside angles of a triangle add up to 180
Step-by-step explanation:
now add up all the angles and make it equal to 180 :)
as follows
X+58+45+85 = 180
now use algebra ... and solve for X :)
X = 180-58-45-85
my calculators tells me....
X = -8
what does that answer mean?
it's saying ... like this 58-8 is that angle.. does that help ? :)
(1) A pizza restaurant had 3/5 of a gallon of pizza sauce left at the end of the evening and
divided it equally among 6 pizzas. How much sauce did they put on each pizza?
Answer:
The pizza restaurant put 1/10 of the sauce on each pizza.
Step-by-step explanation:
Take the 3/5, and on a calculator divide the 3 by the 5:
0.6
Then, take the 0.6 and divide it by the 6 pizzas:
0.1, converted into a fraction equals 1/10.
The pizza restaurant put 1/10 of the sauce on each pizza.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Find the distance between the two points in simplest radical form. (-8,-4),(1,-6)
The distance between the two points in a radical form is √85 units
How to determine the distance between the two points?From the question, we have the following coordinate points that can be used in our computation:
(-8,-4),(1,-6)
The distance between the points is calculated as
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (-8,-4),(1,-6)
Substitute the known values in the above equation, so, we have the following representation
distance = √[(1 + 8)² + (-6 + 4)²]
Evaluate
distance = √85
Hence, the distance is √85
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Solve for X - 18 points.
Answer:
x = 1 1/2
Step-by-step explanation:
1/3 x + 1/4 = 3/4
Solving for x
Subtract 1/4 from each side
1/3 x + 1/4 -1/4 = 3/4-1/4
1/3 x = 2/4
Simplify
1/3x = 1/2
Multiply each side by 3
1/3 x * 3 = 1/2 * 3
x = 3/2
Changing to a mixed number
x = 1 1/2
Answer:
\(\sf \frac{3}{2} = 1 \frac{1}{2} \\ \)
Step-by-step explanation:
\( \sf \frac{1x}{3} + \frac{1}{4} = \frac{3}{4} \\ \)
To solve easily, multiply the whole equation by it's LCM ( LCM of 3 & 4 is 12 ).
\( \sf12 \times ( \sf \frac{1x}{3} + \frac{1}{4} = \frac{3}{4} ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \\ \\ \sf \frac{1x}{3} \times 12 + \frac{1}{4} \times 12= \frac{3}{4} \times 12\\ \\ \sf \sf \frac{12x}{3} + \frac{12}{4} = \frac{36}{4} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf4x + 3 = 9 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
And now solve for x.
First, subtract 3 from both sides.
\( \sf4x = 9 - 3 \\ \sf4x = 6\)
Divide both sides by 4.
\( \sf \: x = \frac{6}{4} \\ \)
To write the fraction in its simplest form, divide both the numerator and denominator by 2.
\( \sf \frac{3}{2} = 1 \frac{1}{2} \\ \)
5) A and B are independent events. P(A) = 0.7 and P(B) = 0.5. Calculate P(A | B).
The probability of event A given that event B has occurred is equal to the probability of event A, which is 0.7.
If A and B are independent events, then the occurrence of event B does not affect the probability of event A. Therefore, we can use the formula for conditional probability, P(A|B) = P(A ∩ B) / P(B), to calculate the probability of event A given that event B has occurred.
However, since A and B are independent, we know that P(A ∩ B) = P(A) x P(B), which gives us:
P(A | B) = P(A ∩ B) / P(B) = (P(A) x P(B)) / P(B) = P(A) = 0.7
This makes sense because the independence of A and B implies that knowing the outcome of event B does not provide any additional information about the probability of event A.
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the movie is 204 minutes long How many hours and minutes is 204 minutes
Answer:
3 hours and 24 minutes
Step-by-step explanation:
Each our is 60 minutes long, so we have to times 60 by x until we get to 204, or close to it.
The closest we can get to 204 is 180, which is 60 times 3, hence the 3 hours.
Now we have to do 204-180, which is 24.
So the movies is 3 hours and 24 minutes long.
Hope this helps!
Answer:
Step-by-step explanation:
Recall that 60 min = 1 hr.
First divide 204 min by (60 min / 1 hr):
204 min
----------------- = 3.4 hr
60 min/1 hr
Break this up further: 3.4 hr = 3 hr plus 0.4 hr
= 3 hr plus 0.4 hr (60 min / 1hr)
= 3 hr plus 24 min
Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.
Which choice represents the sample space, S, for this event?
S = {PQR}
S = {PQR, PRQ, QPR, QRP, RPQ, RQP}
S = {PQ, PR, QR}
S = {PQ, QP, PR, RP, QR, RQ}
Answer:
S = {PQ, QP, PR, RP, QR, RQ}
Step-by-step explanation:
We have 3 friends:
Patty (who we can represent with the letter P)
Quinlan (who we can represent with the letter Q)
Rashad (who we can represent with the letter R)
There are two positions, that can be represented as:
First-Second.
Where "first" refers to the student whose name is chosen first, this student will be the president.
"second" refers to the student whose name is chosen second, this student will be the vice president.
For example:
PQ
refers for the case where Patty is the president and Quinlan is the vice-president.
Notice that PQ is different than QP.
The sample space will be the set of all the possible combinations of the elements (P, Q, and R) of the form First-Second, which are just the permutations:
PQ, QP, PR, RP, QR, RQ
Then the sample space is:
S = {PQ, QP, PR, RP, QR, RQ}
The correct option is the last one.
Answer:
D. S = {PQ, QP, PR, RP, QR, RQ}
What function is represented below?
Answer:
the answer is a
Step-by-step explanation:
A function assigns values. The function that represents the graph is (1/4)^(x+2).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function of the graph that will represent the graph given below is
\(y = (\dfrac{1}{4})^{(x+2)}\)
Thus, the function that represents the graph is (1/4)^(x+2).
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two cars start moving from the same point. one travels south at 64 mi/h and the other travels west at 48 mi/h. at what rate is the distance between the cars increasing four hours later?
One car travel South at 64 mi/h and the other travels west at 48 mi/h. The distance between the cars increases with rate at 80 mi/h.
To find the rate of change, we need to find the derivative of the variables with respect to time.
Let:
p = distance between 2 cars
q = distance between car 1 and the start point
r = distance between car 2 and the start point
Using the Pythagorean Theorem:
p² = q² + r²
Take the derivative with respect to time:
2p dp/dt = 2q dq/dt + 2r dr/dt
dq/dt = speed of car 1 = 64 mi/h
dr/dt = speed of car 2 = 48 mi/h
The distance of car 1 and car 2 from the start point after 4 hours:
q = 64 x 4 = 256 miles
r = 48 x 4 = 192 miles
Using the Pythagorean theorem:
p² =256² + 192²
p = 320 miles
Hence,
2p dp/dt = 2q dq/dt + 2r dr/dt
p dp/dt = q dq/dt + r dr/dt
320 x dp/dt = 256 x 64 + 192 x 48
dp/dt = 80
Hence, the distance between the cars increases with rate at 80 mi/h
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if x has cumulative distribution function f(x) = x2 on [0, 1], find the following. (a) p(0.7 ≤ x ≤ 1)
Given the cumulative distribution function (CDF) f(x) = x^2 on the interval [0, 1], we need to find the probability P(0.7 ≤ x ≤ 1). The probability that x lies between 0.7 and 1 with the given CDF is 0.51.
To do this, we'll use the CDF to calculate the probabilities at the given bounds and then subtract the lower bound probability from the upper bound probability.
For the upper bound (x = 1), the CDF value is:
f(1) = 1^2 = 1
For the lower bound (x = 0.7), the CDF value is:
f(0.7) = (0.7)^2 = 0.49
Now, subtract the lower bound probability from the upper bound probability to find the probability in the given interval:
P(0.7 ≤ x ≤ 1) = f(1) - f(0.7) = 1 - 0.49 = 0.51
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5 POINTS, 5 STARS, BRAINLIEST, AND THANKS
Find F'(x): F(x) = Sx 3 t^1/3 dt
The derivative of F(x) is \(F'(x) = x^{(1/3)\).
What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.
Let's compute F'(x):
F(x) = ∫[0 to x] \(t^{(1/3)} dt\)
To differentiate the integral with respect to x, we'll use the Leibniz integral rule:
F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)
According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.
\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\) [applying the chain rule to the upper limit]
Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.
\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)
\(F'(x) = x^{(1/3)\)
Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).
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Evaluate the integral
∫ 3cos8x-2sin4x+2sectanx)dx
Therefore, the integral ∫ (3cos(8x) - 2sin(4x) + 2sec(tan(x))) dx cannot be expressed in terms of elementary functions.
To evaluate the integral ∫ (3cos(8x) - 2sin(4x) + 2sec(tan(x))) dx, we can simplify each term and then integrate term by term.
Let's start by simplifying each term:
∫ 3cos(8x) dx - ∫ 2sin(4x) dx + ∫ 2sec(tan(x)) dx
To integrate each term, we can use standard integration formulas:
∫ cos(ax) dx = (1/a) sin(ax) + C
∫ sin(ax) dx = -(1/a) cos(ax) + C
∫ sec²(u) du = tan(u) + C
Applying these formulas, we have:
(3/8) ∫ cos(8x) dx - (2/4) ∫ sin(4x) dx + 2 ∫ sec(tan(x)) dx
= (3/8) (1/8) sin(8x) - (1/2) (-1/4) cos(4x) + 2 ∫ sec(tan(x)) dx
= (3/64) sin(8x) + (1/8) cos(4x) + 2 ∫ sec(tan(x)) dx
Now, we need to evaluate the integral of sec(tan(x)) dx. This integral does not have a simple closed-form expression, so we cannot integrate it directly. It is often denoted as "non-elementary" or "special" integral.
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-3 |-2•4 | =
.........
Answer:
-24
Step-by-step explanation:
FILL IN THE BLANK. 1. the steps of the analytical problem-solving model include: identifying the problem,___, selecting alternatives, implementing a solution, and evaluating the situation.
The steps of the analytical problem-solving model include: identifying the problem, exploring alternatives, building an implementation plan, implementing a solution, and evaluating the situation.
What is analytical problem solving ?Analytical problem solving, as we've defined it above, refers to the approaches and methods you use rather than the particular issue you're trying to resolve.
Analytical issue solving is a crucial prerequisite for problem resolution; the problem itself does not determine whether you need it.
Analytical problem solving involves recognising a problem, investigating it, and then creating ideas (such as causes and solutions) around it.
Solving analytical problems calls for inquiry, examination, and analysis that encourages additional study of the subject (including causality, symptoms, and solution).
According to the steps involved in analytical problem solving model:
The ability to examine a situation, The ability to research and focus on key aspects,The ability to analyze the facts and data around the situationThe ability to prioritize and identify critical aspectsThe ability to build an argument to define a problem The ability to investigate and propose root cause(s), while also highlighting the strengths and weaknesses of this argument.To learn more about analytical model, visit:
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Apples cost $0.95 per pound and bananas cost $1.10 per pound.
Leah bought a total of 8 pounds of apples and bananas for $8.05.
a+b=8
The system of equations
models this
0.95a + 1.10b = 8.05
situation, where a is the number of pounds of apples and b is
the number of pounds of bananas. How many pounds of each did
Leah buy?
1
Answer:
I think the answer would be 3.92682926829
Step-by-step explanation:
Honestly i dont think i did this right at all. But i hope i did.
Here is what i did:
0.95 + 1.10 = 2.05
8.05 divided by 2.05 = 3.92682926829
Im so sorry if you get this wrong. I honestly am having an off day. Good luck :(
someone help please!