Suppose you run 2 miles from your house to a friends house at a speed of 7 mi/hr. When the time comes to return home, you are tired and walk the same 2 miles at 3 mi/hr. How long did you spend running to your friends house? How long did you spend walking home?
Answers
Answer:
\(Time = 17.143\ mins\) -- When going
\(Time = 40\ mins\) -- When coming back
Step-by-step explanation:
Given
\(Speed\ to = 7mi/hr\)
\(Speed\ from = 3mi/hr\)
\(Distance = 2\ mi\)
Required
Determine time taken to your friend's house
Determine time taken from your friend's house
Distance is calculated as:
\(Time = \frac{Distance}{Speed}\)
From the question, we understand that:
\(Distance = 2\ mi\)
When going:
\(Speed\ to = 7mi/hr\)
So, we have:
\(Time = \frac{2mi}{7mi/hr}\)
\(Time = \frac{2}{7}hr\)
Express in Minutes
\(Time = \frac{2}{7} * 60\)
\(Time = \frac{120}{7}\)
\(Time = 17.143\ mins\)
When coming back:
\(Speed\ from = 3mi/hr\)
\(Time = \frac{2mi}{3mi/hr}\)
\(Time = \frac{2}{3}hr\)
Express in Minutes
\(Time = \frac{2}{3} * 60\)
\(Time = \frac{120}{3}\)
\(Time = 40\ mins\)
Related Questions
Every morning Jim runs for 15 minutes. If Jim runs 4 miles per hour, how far does Jim travel? Use the equation d=rt, where d is distance, r is rate, and t is time.
Answers
Given that Jim runs for 15 minutes, which is 1/4 of an hour. Also, his rate is 4 miles per hour.
Therefore, we can write:
d = rt
d = 4 miles/hour * (1/4) hour
d = 1 mile
So, Jim runs 1 mile every morning.
Find the measure of arc AB
Answers
measure of arc AB = 2 × 82
= 164
It is a rule there isn't much to say :>
Select the angle(s) with measures that are greater than m ∠1.
Answers
The angles whose measure are greater than the measure of ∠1 are ∠2, ∠3, ∠7, ∠5 .
What are angles? What are dihedral angles?In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles.Given is a geometrical image as shown in the image.
The angles whose measure are greater than one are as follows -
∠2 > ∠1
∠3 > ∠1
∠7 > ∠1
∠5 > ∠1
Therefore, the angles whose measure are greater than the measure of ∠1 are ∠2, ∠3, ∠7, ∠5 .
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If 3 log(x) + 5 log(x) - 6 log(x) = 64 what is X ?
Answers
Answer:
x=\(10^{32}\)
Step-by-step explanation:
\(3\log _{10}\left(x\right)+5\log _{10}\left(x\right)-6\log _{10}\left(x\right)=2\log _{10}\left(x\right)\)
\(\frac{2\log _{10}\left(x\right)}{2}=\frac{64}{2}\)
\(\log _{10}\left(x\right)=32\)
\(x=10^{32}\\\)
Evaluate + for x = 6, y = -4, and z = -2.
-27
Answers
The value of the expression \(+ = x^3 - y - 2z^3$ for $x = 6$, $y = -4$, and $z = -2$\) is \(236\).
To find the value of the expression \(+ = x^3 - y - 2z^3$ for $x = 6$, $y = -4$, and $z = -2$\), we substitute the given values into the expression and simplify step by step:
Step 1: Substitute the values of \(x, $y$, and \ $z$\) into the expression:
\(\[+ = (6)^3 - (-4) - 2(-2)^3\]\)
Step 2: Evaluate the exponents:
\(\[+ = 216 - (-4) - 2(-8)\]\)
Step 3: Simplify the negations:
\(\[+ = 216 + 4 + 16\]\)
Step 4: Combine like terms:
\(\[+ = 236\]\)
The concept used in evaluating the expression is substitution. In mathematics, substitution involves replacing variables in an expression with specific values. By substituting the given values for x, y, and z into the expression, we can calculate the result. This allows us to simplify the expression and obtain a numerical value. Substitution is a fundamental concept used in algebraic calculations to solve equations, evaluate functions, and perform various mathematical operations. It enables us to work with specific values and obtain meaningful results in mathematical computations.
Therefore, the answer to \(+ = x^3 - y - 2z^3$ for $x = 6$, $y = -4$, and $z = -2$\) is \(236\).
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f(3) = 5x + 5, find f(-4)
Answers
Answer:
-15
Step-by-step explanation:
substitute -4 for x:
5(-4)+5
-20+5
= -15
HELLLLLLLPPPPPPPPPPPP PLEASEEEEEEEEEE.
Thirty students in an art class each receive an identical set of 20 markers. As part of a project, each student is asked to close their eyes and select from his or her set at random. You developed a model that predicts the probability of a student randomly picking a yellow marker is 0.1. Which result would most likely cast doubt on your model? (Hint: what is the theoretical probability of 30 students choosing a yellow marker each from a pack of 20 markers.)
10 student pick red markers.
10 student pick yellow markers.
2 student pick blue markers.
2 student pick yellow markers.
3 students pick yellow markers.
3 students pick green markers.
Answers
okay 1 student = 1/20 chance of picking yellow
1/20 (30/30) = 30/600 chance of picking yellow out of 30 studnets
30/600 = 0.05 = 5% chance of choosing yellow.
I each studnet picks 1 yellow marker. Is that all the options?
The graph below is on a semi log scale
Answers
A student states that −x is always equal to a negative integer. Complete the following statement to determine if the student is correct.
Answers
Answer:
iF X IS POSITIVE THEN -X IS ALWAYS NEGATIVE
IF X IS NEGATIVE, THEN -X IS ALWAYS POSITIVE
THE NEGATIVE OF A POSITIVE IS ALWAYS POSITIV
THE NEGATIVE OF A NEGATIVE IS ALWAYS POSITIVE
Step-by-step explanation:YS
−x is always equal to a negative integer is an incorrect statement.
The student is not correct.
What is Number system?A number system is defined as a system of writing to express numbers.
−x is always equal to a negative integer when x is positive integer
−x is always equal to a positive integer when x is negative integer
Which means the value of -x changes on the integer of x.
If x is positive then -x will be always negative, If x is negative then -x is positive.
The negative of a negative integer is positive and the negative of positive integer is negative.
Hence −x is always equal to a negative integer is an incorrect statement.
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What explicit equation represents the relationship between X and Y in the graph below
Answers
The numerator of a fraction is 18 and the denominator is 8. All of the following numbers are equivalent
except:
A- 9/4
B- 2 1/4
C- 36/16
D- 6/4
Answers
The fractions in the options are equivalent to the fraction 18/8, except the option
D; 6/4
What is a fraction?A fraction is a representation of a part of an item, by the expressing the proportion consisting of a numerator, divided by a numerator, between which is the divisor bar.
The fraction is; 18/8
Therefore, we get; 18/8 = (2 × 9)/(2 × 4)
The like terms indicates that we get;
(2 × 9)/(2 × 4) = 9/4
Therefore; 18/8 = 9/4
The above fraction is an improper fraction, therefore, we get;
9/4 = (2 × 4 + 1)/4 = 2 1/4
However; 18/8 = (2 × 18)/(2 × 8) = 36/16
Therefore, the numbers in the options A, B, and C are equivalent to the fraction 18/8
The fraction 6/4 is not equivalent to the fraction 18/8
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Find values of p for which the integral
∫10xpln(x)dx
converges and calculate the value of the integral for these values of p.
Answers
The integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.
To determine the values of p for which the integral ∫10x^p * ln(x) dx converges, we need to consider the convergence of the integrand for different values of p. The integral will converge if the integrand is well-behaved and does not exhibit any divergence.
Let's analyze the integrand in two separate cases:
Case 1: p ≠ -1
When p ≠ -1, the integrand is well-defined for all x > 0. We can proceed with evaluating the integral.
∫10x^p * ln(x) dx = [x^(p+1) * ln(x)] / (p+1) + C
To calculate the value of the integral for a specific value of p, we can substitute the limits of integration into the antiderivative expression and evaluate the resulting expression.
Case 2: p = -1
When p = -1, the integrand becomes 10x^(-1) * ln(x), which poses a potential issue at x = 0. To determine if the integral converges for this case, we need to examine the behavior of the integrand near x = 0.
As x approaches 0, the expression ln(x) approaches negative infinity, which would cause the integrand to diverge. Therefore, for p = -1, the integral does not converge.
In summary, the integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.
Please note that when evaluating the definite integral for specific limits of integration, you should substitute the limits into the antiderivative expression and then calculate the difference of the resulting expressions evaluated at the upper and lower limits.
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The normal condition for sample proportions In the year 2012, 12% of the residents of the US moved to a different residence. Suppose that several census workers took random samples of n = 150 residents from the population and computed the proportion p of residents in each sample who had moved in 2012. What would be the shape of the sampling distribution of p? Choose 1 answer: A)Skewed to the left B)Skewed to the right C)Approximately normal D) Uniform
Answers
The correct option is C
The distribution is Approximately Normal
Explanation:The sample size is 150, this is large.
The standard deviation is finite .
We say that the distribution is Approximately Normal
See image below!!
The food service manager conducted a random survey of 200 students to determine their preference for new lunch menu items. There are 1,500 students in the school. Select all the manager’s predictions that are supported by the data.
Answers
1 & 3 are true, 2/4/5 are false
Barry is thinking of a number.
He says, "My number is even. It is a factor of 30 and a multiple of 5”.
There are two possible numbers Barry can be thinking of.
Write down these two numbers.
Answers
Answer:
10 and 30
Step-by-step explanation:
Let's focus on the first 2 parts of the hints :
The number must be even and a factor of 30 :
Let's write out the factors of 30 :
1 , 2 , 3 , 5 , 6 , 10 , 15 , 30
Now let's pick out the even ones :
2 , 6 , 10 , 30
Now let's take out the multiples of 5 :
10 and 30
These are the answers
Hope this helped and have a good day
what is bigger 0.17 or 0.158
Answers
Comparison between decimals 0.17 and 0.158 is that 0.17 is bigger than 0.158.
What are the rules for comparing decimals ?For comparing decimals
First compare the whole numbers. If they are same move to step 2 otherwise which has bigger whole number is the bigger number.Now we will check for tenth place of decimal expansion if tenth place is same in the both numbers then move to step 3 otherwise whosoever has bigger tenth place in expansion is bigger.Check for hundredth place in decimal expansion, if they are same move to step 4 otherwise which has bigger hundredth place is bigger.Compare thousandth places in decimal expansion , if they are same procced to next place and so on.Given are two numbers 0.17 and 0.158
Their whole number part is same which is 0.
Therefore we move to compare their tenth places that is 1 in both numbers
Then we move to hundredth place in decimal expansion and hundredth place of 0.17 is 7 which is bigger than 5 which is the hundredth place of 0.158
Therefore, 0.17 is bigger than 0.158
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Calls originate from Dryden according to a rate 12 Poisson process. 3/4 are local and 1/4 are long distance. Local calls last an average of 10 minutes, while long distance calls last an average of 5 minutes. Let M be the number of local calls and N the number of long distance calls in equilibrium. Find the distribution of (M,N). what is the number of people on the line.
Answers
The distribution of (M,N) is a bivariate Poisson distribution with parameters λ_1 = 9 (rate of local calls) and λ_2 = 3 (rate of long distance calls) since the rates of the two processes are independent Poisson processes. and the number of people on line are 60.
The joint probability mass function of (M,N) is given by:
\(P(M=m, N=n) = e^{-(\lambda_1 +\lambda_2) (lambda_1^m/ m!) (\lambda_2^n/ n!)\)
The number of people on the line is the expected value of the total number of minutes of all calls, which can be calculated as E[10M + 5N] = 10E[M] + 5E[N].
Since M and N are independent Poisson random variables, we have E[M] = λ_1/(1-p_1) and E[N] = λ_2/(1-p_2), where p_1 and p_2 are the probabilities of a call being local or long distance, respectively.
Substituting in the given values, we get:
E[10M + 5N] = 10(9/3) + 5(3/1) = 45 + 15 = 60
Therefore, the expected number of people on the line is 60.
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HELP ASAP IM TIMED!!!!
Answers
Corresponding angles
Answer:
c
Step-by-step explanation:
took it on edge
Negative four and one-fifth minus negative thirteen and one-tenth
Answers
Answer:
8 nine tenths
Step-by-step explanation:
(-21/5) - (-131/10)
(-42/10)-(-131/10)
131-42=89
89/10
8 and nine- tenths or 8 9 divided by 10
A fly-fishing line is cast in a parabolic motion with an initial velocity of 30 meters per second at an angle of 60° to the horizontal and an initial height of 1 meter. The following parametric equations represent the path of the end of the line: x(t) = (30cos(60°))t and y(t) = -9.812 + (30sin(60°))t + 1 Graph the parametric equations to complete the statements.
1. To the nearest meter, the line travels a horizontal distance of_____
A. 2.6
B. 18
C. 20
D. 40
2. To the nearest tenth of a second, the end of the line reaches its maximum height after_____ seconds.
A. 1.3
B. 2.6
C. 18.2
D. 40.0
Answers
Answer:
1. 40
2. 1.3
Step-by-step explanation:
edge :)
Answer:
here ya go!
Step-by-step explanation:
What is 3 1/2 - 1 1/4
Subtract the fractions
Ty!
Answers
Answer:
The answer is 2 1/4. <3
I need help pretty please :( :(
Answers
Answer:
rotation
Step-by-step explanation:
Indicate below weather the equation in the box is true or false
Answers
Answer:
False
Step-by-step explanation:
4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Answers
Answer:
B
Step-by-step explanation:
In each one, they add two arrows that are to the right as much as they possibly can be
Mikey has 32 Kit Kat bars and 24 Tootsie Rolls. He wants to give out bags of candy to his friends in his class. What is the GREATEST number of bags Mikey can make that would have a equal amount of Kit Kat and Tootsie Rolls?
Answers
Given the function w(x) = 9x + 8, evaluate w(5).
a.53
b.28
c.96
d.12
Answers
w(5)=(45+8)
=53
a.53
Sandeep says that the expression
9x + 3 is equivalent to the expression
3(3x + 1). Is Sandeep correct?
Answers
Answer:
YES
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Distributive Property:
3(3x+1)
9x+3
Task 22 Playing Cards Five playing cards (three Kings and two Queens) are shuffled and laid face down on a table. As part of a game, Laura turns the cards over one by one and leaves them face up on the table until the first Queen appears. The random variable X gives the number of cards lying face up at the end of a game. Task: Determine the expectation value of the random variable X. E(X) = [0/1 point]
Answers
The expected number of cards lying face up at the end of the game is 3/10.
To determine the expectation value of the random variable X, we need to calculate the probability distribution of X and then apply the formula for expected value:
E(X) = Σ x P(X=x)
where x is the value of X and P(X=x) is the probability of X taking that value.
Let's consider the possible values of X and their probabilities:
X=0: This happens if the first card turned over is a Queen. The probability of this happening is 2/5 (since there are two Queens out of five cards).
X=1: This happens if the first card turned over is a King and the second card turned over is a Queen. The probability of this happening is (3/5) * (2/4) = 3/10.
X=2: This happens if the first two cards turned over are Kings and the third card turned over is a Queen. The probability of this happening is (3/5) * (2/4) * (1/3) = 1/10.
Therefore, the expectation value of X is:
E(X) = 0*(2/5) + 1*(3/10) + 2*(1/10) = 3/10
So the expected number of cards lying face up at the end of the game is 3/10.
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Use the figure below to answer questions #18 - #21.
18. ∠1 = ___°
19. ∠2 = ___°
20. ∠3 = ___°
21. ∠5 = ___°
Answers
Answer: 5
Step-by-step explanation:
18. ∠1 = ___°
19. ∠2 = ___°
20. ∠3 = ___°
21. ∠5 = ___°
PLS answer these questions or just one is fine i need answers
Answers
Answer:
4 = the top row would be 1,2,3,4,5
the bottom row would be 14,28,42,56,70
the equation is y= 14x
5 = yes it is proportional. y=21x
6 =no it is not proportional.
7 = yes it is proportional because y= 7x
Step-by-step explanation: