The Equation of the line turns out to be
\(y=-\frac{4}{3}x+36\)And the x-intercept is the point (x, 0) and it is given by
\(0=-\frac{4}{3}x+36\)which gives
\(x=-27\)Hence, the x-intercept is (-27,0)
This means 27 seconds before departure the distance from the school is 0.
Putting this in another way, we can also say that 27 is the time it takes to reach the school; Hence, the correct option is the second one.
At the fast food restaurant, an order of fries costs $1.17 and a drink
costs $0.90. How much would it cost to get 4 orders of fries and 5
drinks? How much would it cost to get f orders of fries and d drinks?
Answer:
Cost of fries = $ 1.17
order of fries =4
Total cost of fries =4 × 1.17
= $ 4.68
cost of drinks = $0.90
no. of drinks = 5
total cost of drinks =0.90 × 5
=$4.50
total cost of drinks and fries = cost of drinks + cost of fries
=$ 4.50 + 4.68
ans = $ 9.18
Step-by-step explanation:
At a food restaurant, it costs $ 9.18 to get 4 orders of fries and 5 drinks.
It is obtained by adding the individual costs for a given number of orders of fries and drinks. It costs \(1.17f + 0.90d\) for f orders of fries and d order of drinks.
Calculating the individual costs:Cost for an order of fries = $ 1.17
Then, the cost for 4 orders = 4 × $ 1.17 = $ 4.68
Cost for an order of drink = $ 0.90
Then, the cost for 5 drinks = 5 × $ 0.90 = $ 4.50
Calculating the total cost:Then the total cost = Cost for 4 fries + Cost for 5 drinks
= $ 4.68 + $ 4.50
= $ 9.18
Similarly,
The cost for f fries = f × $ 1.17 = 1.17f
The cost for d drinks = d × $ 0.90 = 0.90d
Therefore, the total cost for f fries and d drinks = 1.17f + 0.90d
Thus, it costs $ 9.18 to get 4 orders of fries and 5 drinks and it costs 1.17f + 0.90d to get f orders of fries and d drinks.
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From a table of integrals, we know that for ,≠0a,b≠0,
∫cos()=⋅cos()+sin()2+2+.∫eatcos(bt)dt=eat⋅acos(bt)+bsin(bt)a2+b2+C.
Use this antiderivative to compute the following improper integral:
∫[infinity]01cos(3)− = limT→[infinity]∫0[infinity]e1tcos(3t)e−stdt = limT→[infinity] if ≠1s≠1
or
∫[infinity]01cos(3)− = limT→[infinity]∫0[infinity]e1tcos(3t)e−stdt = limT→[infinity] if =1.s=1. help (formulas)
For which values of s do the limits above exist? In other words, what is the domain of the Laplace transform of 1cos(3)e1tcos(3t)?
help (inequalities)
Evaluate the existing limit to compute the Laplace transform of 1cos(3)e1tcos(3t) on the domain you determined in the previous part:
()=L{e^1t cos(3)}=
"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)
\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)
and
\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)
Use this antiderivative to compute the following improper integral:
\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)
For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?
Evaluate the existing limit to compute the Laplace transform of on the domain you determined in the previous part:
\(\[L\{e^t \cos(3t)\\).
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The First person to get this gets brainliest!(After 2 people answere)
4x4
8x8
11x11
12x12
10x10
what is the solution to the following system? (picture)
a. (2,3,4)
b. (4,3,-2)
c. (4, 3, 2)
d. (6, 7, -2)
option C
PLS MAKE ME AS THE BRAINLIEST ANSWER
What is a definition of Domain of a function in math?
Jonathan run each day after chool to train for hi cro country team. He ran 3 mile the firt week, 5 the econd week, and 7 mile the third week. If thi pattern continue, how many mile will he be running during the fifteenth week of chool?
If Jonathan ran 3 mile in first week , 5 mile in second week , then the distance he will be running in 15th week is 31 miles .
If Jonathan is running 3 miles, 5 miles, and 7 miles on consecutive weeks. This pattern is an increasing sequence by 2 miles each week.
we have to find out how many miles Jonathan will be running during the fifteenth week of school,
we use the formula for the nth term of an Arithmetic Sequence:
⇒ aₙ = a₁ + (n-1)d, where "a₁" is the first term, "n" is the term number, and "d" is the common difference ;
Here, a₁ = 3, n = 15, and d = 2,
So , a₁₅ = 3 + (15-1)×2
⇒ 3 + 14×2
⇒ 3 + 28
⇒ 31 ;
Therefore, Jonathan will be running 31 miles during the fifteenth week of school.
The given question is incomplete , the complete question is
Jonathan run each day after school to train for his cross country team. He ran 3 mile the first week, 5 the second week, and 7 mile the third week. If this pattern continue, how many mile will he be running during the fifteenth week of school ?
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What are the coordinates of points B, C, and E?
Answer:
B (-4, 8)
C (3, 5)
E ( 7, 0 )
Step-by-step explanation:
Text Book
A new washing machine used 2 4/9 gallons of water per full load to clean clothes. If Cody used washed 4 5/6 loads of clothes, how many gallons of water would be used?
Answer:
Why might Washington have fought inequality privately instead of openly calling for an end to legal discrimination
Step-by-step explanation:
noono
lines a and b are parallel in the diagram what is the measure of angle 1
Answer:
45
Step-by-step explanation:
Upon examining the graph, you can realize that angle 3x is the same as the angle directly to the left of 9x. Since that makes a straight line, we can realize that that sums up to 180. We call this a linear pair.
so you have:
3x+9x = 12x = 180
x = 15
A important concept to know here is vertical angles. Vertical angles occur when two lines intersect each other. The opposite angles formed at an intersection are congruent, which is why 1 is congruent to 3x.
Therefore, angle 1 is 45 degrees.
4 attempts left Check my work Find the absolute extrema of f(x) = 2x23 on the interval |-4, -1). f(x) = 5 is the absolute maximum. 3:00:41 fx) - 0 is the absolute minimum. 4 attempts left Check my w
Based on the information given, the absolute extrema of f(x) = 2x^2 on the interval [-4, -1) are:
- The absolute maximum is f(x) = 5, which means that the highest point on the graph of f(x) within the interval is (x, 5).
- The absolute minimum is f(x) = 0, which means that the lowest point on the graph of f(x) within the interval is (x, 0).
It is important to note that the notation "4 attempts left" and "Check my work" do not affect the solution to the given problem.
In mathematics, the absolute extrema (or global extrema) of a function refer to the maximum and minimum values that the function can attain over its entire domain.
To find the absolute extrema of a function, you need to evaluate the function at all critical points and at the endpoints of the domain. A critical point is a point in the domain where the derivative of the function is zero or undefined.
For example, consider the function f(x) = x^2 - 4x + 5 on the interval [0, 3].
To find the critical points, you need to take the derivative of the function:
f'(x) = 2x - 4
Setting f'(x) = 0, you get x = 2, which is the only critical point in the interval [0, 3].
Next, you need to evaluate the function at the critical point and at the endpoints of the interval:
f(0) = 5
f(2) = 1
f(3) = 2
Therefore, the absolute maximum value of the function on the interval [0, 3] is 5, which occurs at x = 0, and the absolute minimum value is 1, which occurs at x = 2.
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What is slope ? Help me please
Answer:
Step-by-step explanation:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x). there you go.
3=m/12
help asap Have a great day:)
Answer:
3=m/12
3×12=m
36=m.
................
Charles correctly answered 23 questions on a test, receiving a grade of 92%. How many questions were on the test?
Answer:
Let's start by using a proportion to find the total number of questions on the test. We know that Charles answered 23 questions correctly and received a grade of 92%, which means he missed 8% of the questions.
Let x be the total number of questions on the test. Then 8% of the questions that Charles missed can be expressed as 0.08x.
The number of questions that Charles answered correctly plus the number of questions he missed must add up to the total number of questions on the test:
23 + 0.08x = x
Simplifying and solving for x, we get:
0.92x = 23
x = 23 / 0.92
x ≈ 25
Therefore, the total number of questions on the test was approximately 25.
What is the probability that the test will fail to decide
is true when in reality =72. 5?
Determined by various factors such as sample size, statistical significance, and the chosen level of confidence. the probability that the test will fail to decide that the true value is 72.5 when it is indeed 72.5.
In order to calculate the probability of a Type II error, one would need to know the specific details of the test being used, such as the sample size, the statistical power of the test, and the chosen level of significance.
In general, the probability of a Type II error increases as the sample size decreases and the level of significance decreases. This means that if the test being used is not sufficiently powered or if the level of confidence is too low, there is a higher probability of failing to detect a true effect.
If the test is not able to accurately determine if the statement is true or not when the actual value is 72.5, then there is a possibility that a Type II error has occurred. The probability of this error depends on the specific details of the test being used and cannot be determined without further information.
The probability of a test failing to decide a certain hypothesis is true, when it is actually true, can be determined using the concept of Type II error or false negative rate. In statistical hypothesis testing, Type II error (β) refers to the probability of failing to reject a false null hypothesis. These factors influence the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false. The power of the test (1 - β) is complementary to the probability of making a Type II error.
In this case, the null hypothesis (H0) could be that the value is not equal to 72.5,
while the alternative hypothesis (H1) states that the value is equal to 72.5.
The probability you are looking for is the Type II error rate when the true value is 72.5.
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ds dt = 12t (3t^2 - 1)^3 , s(1) = 3
One solution is t ≈ 0.4515, which corresponds to s ≈ 4.2496.
To solve this differential equation, we can use separation of variables:
ds/dt = 12t(3t^2 - 1)^3
ds/(3t(3t^2 - 1)^3) = 4dt
Integrating both sides:
∫ds/(3t(3t^2 - 1)^3) = ∫4dt
Using substitution, let u = 3t^2 - 1, du/dt = 6t
Then, we can rewrite the left-hand side as:
∫ds/(3t(3t^2 - 1)^3) = ∫du/(2u^3)
= -1/(u^2) + C1
Substituting back in u = 3t^2 - 1:
-1/(3t^2 - 1)^2 + C1 = 4t + C2
Using the initial condition s(1) = 3, we can solve for C2:
-1/(3(1)^2 - 1)^2 + C1 = 4(1) + C2
C2 = 2 - 1/16 + C1
Substituting C2 back into the equation, we get:
-1/(3t^2 - 1)^2 + C1 = 4t + 2 - 1/16 + C1
Simplifying:
-1/(3t^2 - 1)^2 = 4t + 2 - 1/16
Multiplying both sides by -(3t^2 - 1)^2:
1 = -(4t + 2 - 1/16)(3t^2 - 1)^2
Expanding and simplifying:
49t^6 - 48t^4 + 12t^2 - 1 = 0
This is a sixth-degree polynomial, which can be solved using numerical methods or approximations. One solution is t ≈ 0.4515, which corresponds to s ≈ 4.2496.
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please answer :,)
What is the median of this data set?
The line graph is titled Amount of Rainfall. The Y axis is labeled inches. The X axis is labeled weeks. Week 1 has a dot at 2 inches. Week 2 has a dot at 3 inches. Week 3 has a dot at 1 inch. Week 4 has a dot at 3 inches. Week 5 has a dot at 5 inches. Week 6 has a dot at 4 inches. The dots are connected one to the next by a line to show a change in the amount of rainfall.
4
3
2
1
Answer: 2.5 is the answer. To find median you make a list of numbers from least to greatest then simply find the middle number if theres two in the middle add them both together then divide by two thats your answer.
Step-by-step explanation:
80 divided by 192.0!!!!!!!!!!!!!!!
Answer: .416666667
Step-by-step explanation: Take 80 and divide it by 192.0= .416666667
Can someone please help me understand this problem!!’?
Answer:
THE ANSWER IS 4 I SWEAR
Step-by-step explanation:
a restaurant mixes 2 gallons of milk containing 1at and 3 gallons of milk containing 2at. what is the percent of fat in the mixture? express your answer to the nearest tenth of a percent.
Answer:
2. A restaurant mixes 2 gallons of milk containing 1% fat and 3 gallons of milk containing 2% fat. What is the percent of fat in the mixture? Express your answer to the nearest tenth of a percent.
Step-by-step explanation:
1% of 2 = .02 gallons of fat
2% of 3 = ,06 gallons of fat
% fat in the mixture = [ .02 + .06 \ / [ 2 + 3 ] = .08 / 5 = .016 = 1.6%
BRAINY REWARD!!Help me pls.
Answer:
A \(1.3 - 5.6 = - 4.3\)
Step-by-step explanation:
\(1.3 - 5.6 = - 4.3\)
Hope this helps! Pwease mark me brainliest! Have a great day!
−xXheyoXx
Answer:
just answering so you can give the other person brainliest :D
Step-by-step explanation:
Question 12 (1 point) One microfarad is equivalent to how many picotarads? A) 100,000 B) \( 1,000,000 \) C) 1,000 D) 10 Question 13 (1 point) The St prefix pico is equal to \( 10^{12} \). True False Q
One microfarad is equivalent to 1,000,000 picofarads. A microfarad is a unit of capacitance, and a picofarad is also a unit of capacitance. The prefix "micro" means "10<sup>-6</sup>", and the prefix "pico" means "10<sup>-12</sup>".
Therefore, one microfarad is equal to 10<sup>-6</sup> farads, and one picofarad is equal to 10<sup>-12</sup> farads. To convert one microfarad to picofarads, we can use the following formula:
1 \mu F = 10^{-6} F = 10^{-6} \times 10^{12} pF = 10^{6} pF
Therefore, one microfarad is equivalent to 1,000,000 picofarads.
The prefix "micro" is often used in electronics to denote a very small quantity. The prefix "pico" is even smaller than the prefix "micro", and is often used to denote very small quantities in electronics and physics.
The unit of capacitance is the farad, and it is named after Michael Faraday. The farad is a very large unit of capacitance, and is rarely used in practice. Smaller units of capacitance, such as the microfarad and the picofarad, are more commonly used.
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how much 3458 is less than a million
Using the subtraction operation, 3458 is 996542 less than a million .
Subtracting numbersThe subtraction operation gives how much a value or number is greater than the other.
Given the values :
3458 and 1,000,000The subtraction operation would give us how much 1000000 is greater than 3458
1000000 - 3458 = 996542Therefore, the required value is 996542.
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help now please, i wasn't there at all last week.
What is the area of the rectangle?
4
What is the area of the triangle?
2
Rectangle explanation:
If the Base and Height of the rectangle is 2, then we just have to multiply, and we get 4 as our answer.
Triangle explanation:
The area of the scalene triangle can be calculated using different formulas, Using base and height: (1/2) × base × height. Using Heron's formula: √s(s−a)(s−b)(s−c) s ( s − a ) ( s − b ) ( s − c ) , where where a, b, c are the sides and s is the semi-perimeter, s = (a + b + c)/2.
And I used just that formula to find my answer!
If you found my answer helpful, mark me brainliest! Have a great day!
HELP NO LINKS OR FILES DUE TODAY
Answer:
for every 13 dogs, there are 25 cats.
Step-by-step explanation:
It's simple you put dog on top since it came first and then cats on bottom. I hope this help :)
Find the measure of angle KMU
Answer:
140°
Step-by-step explanation:
The other angle inside is 40 so 180-40 is 140°
The measure of the angle KMU is 140 degrees.
What is an angle?It is formed by two rays or lines that share a common endpoint.
Given that for the triangle KLM, angle KLM is 90° and angle LKM is 50°.
The sum of the angles inside the triangle is 180°.
The angle KML is given by
angle KML = 180-(90+50) = 180 - 140 = 40
The angle KMU = 180 - 40= 140.
Hence the 140° is the measure of the angle KMU.
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What is an inherent zero? describe three examples of data sets that have inherent zeros and three that do not.
The inherent zero is simply a zero. The three instances for both are-
the average age among college graduates, average monthly body weight, maximum wind velocity during a hurricane with intrinsic zero.Year of birth, body weight in space, and year of automobile accidents are three that do not.What is inherent zero?The absolute zero is another name for the intrinsic zero. This is not included in the interval scale because, while the disparity between the two observations makes sense, the ratio does not because it lacks an inherent zero.
Some key features of inherent zero are-
In statistics, the inherent zero is regarded as the starting point or reference point for the ratio scale. The scale with an inherent zero is called as the ratio scale, since we can then compute the ratio between observations and comment on the number of times one observation is less than or bigger than another.To know more about the inherent zero, here
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A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.
What is the probability of drawing a red marble out of the bag without looking?
\(|\Omega|=1+2+3+3=9\\|A|=3\\\\P(A)=\dfrac{3}{9}=\dfrac{1}{3}\approx33,3\%\)
Choose the set that is the possible side lengths of a right triangle.
a)1,1,2 b)3,5,9 c)3,4,7 d)1,1,square root2
Answer:
D
Step-by-step explanation:
Mathematically, for us to have a right triangle, Pythagoras’ theorem must be obeyed
From the theorem, the square of the hypotenuse (longest side) equals the sum of the squares of the two other sides
Let us take a look at the given set of numbers:
2 square is not same as 1 squared + 1 squared
9 squared is not equal to 3 squares + 5 squared
7 squared is not equal to 4 squared + 3 squared
But;
root 2 squared equals 1 squared plus 1 squared and that is our answer
Free brainliest!!! I'll give it to anyone who answer's! (just put something random!)
write an equation of the line that passes through (-5,2) and is (a) parallel to and (b) perpendicular to y=2x-3.
Answer:
a) y = 2x + 12. b) y = -1/2 x -1/2.
Step-by-step explanation:
a) parallel to will have same gradient, ie gradient of 2.
y - y1 = m(x - x1)
y1 is y-coordinate of point, x1 is x-coordinate of point, m is gradient.
y - 2 = 2(x - -5) = 2 (x + 5) = 2x + 10
y = 2x +10 + 2
y = 2x + 12
b) gradient of perpendicular = -1/m = -1/2.
y - 2 = -1/2 (x - -5) = -1/2 (x + 5) = -1/2 x - 5/2
y = -1/2x -5/2 + 2
y = -1/2 x -1/2