25.0% complete question two cars, x and y, started from the same point and traveled on a straight course in opposite directions for 2 hours, at which time they were 208 miles apart. if car x traveled, on average, 8 miles per hour faster than car y, what was the average speed, in miles per hour, of car x for the 2-hour trip?
The average speed, in miles per hour, of car X for the 2-hour trip is 56 mph.
The average speed, in miles per hour, of car x for the 2-hour trip is 56 mph.Let’s first identify what the given is.The problem states that car X and car Y started from the same point and traveled on a straight course in opposite directions for 2 hours, at which time they were 208 miles apart. The problem also states that car X traveled, on average, 8 miles per hour faster than car Y.So we have two cars, X and Y, that traveled in opposite directions.
In this problem, we are asked to find the average speed of car X for the 2-hour trip.Let’s use the formula that relates distance, speed, and time. For any given problem, this formula will help us determine which variable we need to solve for.distance = speed × timeSo, in this problem, we know the time and distance, but we need to find the speed.
We can use the information given in the problem to set up an equation for the two cars.Using the formula, we can set up the following equation for car X:dX = speedX × 2Using the same formula, we can set up the following equation for car Y:dY = speedY × 2Since car X traveled, on average, 8 miles per hour faster than car Y, we can write this as speedX = speedY + 8.
Now we know that the sum of the distances that car X and car Y traveled is equal to the total distance that separates them. Using this information, we can set up the following equation:dX + dY = 208To solve for the speed of car X, we need to isolate speedX in the equation that relates speedX and speedY. We can do this by substituting the equation for dX and dY in the equation that relates speedX and speedY.
This gives us the following equation:(speedY + 8) × 2 + speedY × 2 = 208Simplifying this equation, we get:4 speedY + 16 = 2084 speedY = 192speedY = 48 mphNow that we know the speed of car Y, we can use the equation for speedX and speedY to find the speed of car X. This gives us:speedX = speedY + 8 = 48 + 8 = 56 mph.
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Simplify each expression.
5¹/₂ . 5¹/₂
The expression 5¹/₂ . 5¹/₂ simplifies to 25¹/₄, which means the result is 25 and one-fourth.
In the expression 5¹/₂ . 5¹/₂, both numbers are whole numbers with fractions.
First, we multiply the whole numbers, which gives us 5 * 5 = 25. Then, we simplify the fraction part. Multiplying the fractions, we have ¹/₂ * ¹/₂ = ¹/₄.
Combining the whole number and fraction, we get 25¹/₄. The fraction ¹/₄ cannot be further simplified since the numerator (1) and the denominator (4) have no common factors other than 1.
Therefore, the final simplified expression is 25¹/₄. This means that 5¹/₂ . 5¹/₂ is equal to 25¹/₄ or 25 and one-fourth.
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4. Aubrey and Charlie are driving to a city that is 120 miles from their house.
They have already traveled 20 miles, and they are driving at a constant rate
of 50 mi/h. Write a function that models the distance they drive as a
function of time. What is a reasonable domain for this situation?
Function notation in slope-intercept form: y=50x + 20
A reasonable domain is 0hr ≤x≤ 2hr.
5. Use the function you wrote in Item 4 to complete the following:
f(1.5) =__________ The value indicates that after
Aubrey and Charlie will have traveled
hours of driving,
miles.
f(1.5) = 50(1.5) + 20 = 85 miles. After 1.5 hours of driving, Aubrey and Charlie will have traveled 85 miles.
The domain is the set of input or the x-values that can be plugged into the function, in this case the time they spend driving. The domain is reasonable because the time cannot be negative or less than 0 and they cannot drive for more than 2 hours (as they are driving to a city that is 120 miles from their home, and they are driving at a rate of 50 miles per hour)
Which number is greater?
A. 3.33 x 10^7
B. 2.34 x 10^5
Answer:
3.33times 10^7 because when it is possible to substract 2.24times10^5 from it
Answer:
Answer: A) 3.33 x 10⁷
Step-by-step explanation:
A is the correct answer because you're adding 7 to the left. Whereas for B, it's only 5 times, and the number is less than 3.33.
3.33 ⇒ 33.3 ⇒ 333 ⇒ 3330 ⇒ 33300 ⇒ 333000 ⇒ 3330000 ⇒ 33300000
2.34 ⇒ 23.4 ⇒ 234 ⇒ 2340 ⇒ 23400 ⇒ 234000
I hope this helps!
Simplify the expression below.
(x^3)^2
A.
x3
B.
x5
C.
x6
D.
x32
Answer:
(c)
Step-by-step explanation:
x^3+3 = x^6
hope it helped :)
The length of a rectangle is 3 less than 4 times
the width. The perimeter is 34. Find the length
and width.
Let
x = width
4x-3 = length
w=x
P = 2w + 2L
34 = 2x + 2(4x-3)
L=4x-3
→ Perimeter = 2( Length + Width)
→34 = 2x + 2(4x-3)
→34 = 2x + 8x - 6
→34 = 10x -6
→10x = 34 +6
→10 x = 40
→x = 40/10
→x = 4
Width is 4 unit and length is (4*4 -3) = 13 unit.Hope this helped you!
Select the following correlation that demonstrates the WEAKEST correlation between two variables.
a) +.20
b) - 50
c) +.75 d
) - 76
The correlation that demonstrates the weakest correlation between two variables is option a) +.20.
Among the given options, the correlation that demonstrates the weakest correlation between two variables is option b) -50.
In correlation coefficients, the value ranges from -1 to +1, where -1 represents a perfect negative correlation, +1 represents a perfect positive correlation, and 0 represents no correlation or a very weak correlation.
Let's analyze the options provided:
a) +.20:
This indicates a positive correlation, but the value is relatively small (0.20).
It suggests a weak positive relationship between the variables.
b) -50:
This option appears to be a typographical error since the correlation coefficient cannot be negative 50.
Assuming it is meant to be -0.50, this indicates a moderate negative correlation.
c) +.75:
This option represents a strong positive correlation.
With a coefficient of 0.75, it suggests a relatively strong positive relationship between the variables.
d) -76: Similar to option b, this value appears to be a typographical error. A correlation coefficient cannot exceed the range of -1 to +1.
Assuming it is meant to be -0.76, this indicates a strong negative correlation.
Comparing the given options, the weakest correlation is option b) -50, assuming it was intended to be -0.50. A correlation coefficient of -0.50 represents a moderate negative correlation, which is weaker than the other options but still indicates some relationship between the variables.
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25 points!!!!!!!!!!!!!!!!!!
Answer:
cos 32° = 12/x
x = 14.15
Step-by-step explanation:
Solve the following equation for x.
(x - 5)/2 = -6
Answer:
-7
Step-by-step explanation:
(x-5)/2=-6
x-5=-12
x=-7
Answer:
x = -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
(x - 5)/2 = -6
Step 2: Solve for x
Multiply 2 on both sides: x - 5 = -12Add 5 to both sides: x = -7In the figure below, m||n. Match the angle pairs with the
correct label for the pairs.
On solving the provided question, by properties of parallel lines we got to know that - 1 - A 2 - C 3 - B 4 - D
what is alternate exterior angles?When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.
Matches are -
1 - A
2 - C
3 - B
4 - D
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please help me im stuckkkkkkk
The change in the amount of money that Noah's mother has can be represented by the expression $(17-8) . The expression can be simplified to $9, which shows that Noah still owes $9 to his mother.
How to calculate the amount the Noah still owes his Mother?The amount of money the Noah borrowed from his mother = $17
The amount of money that he was able to pay back = $8
Therefore the amount of money that is remaining = 17-8 =$9
Therefore, the change in the amount of money that Noah's mother has can be represented by the expression $(17-8) . The expression can be simplified to $9, which shows that Noah still owes $9 to his mother.
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Which are factors of x2 – 4x – 5? Select two options. (x – 5) (x – 4) (x – 2) (x 1) (x 5).
Answer:
\((x+1)(x-5)\)
Step-by-step explanation:
Factor by Grouping
\(x^2-4x-5\\\\x^2+x-5x-5\\\\x(x+1)-5(x+1)\\\\(x-5)(x+1)\\\\(x+1)(x-5)\)
Therefore, \((x+1)(x-5)\) is correct
The factors of the equation are (x-5) and (x+1).
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown.
We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Given
Polynomial; \(\rm x^2-4x-5=0\)
To find the factors of the polynomial follow all the steps given below.
Then,
The factors of the polynomial are;
\(\rm x^2-4x-5=0\\\\x^2-5x+x-5=0\\\\x(x-5)+1(x-5)=0\\\\(x-5)(x+1)=0\)
Hence, the factors of the equation are (x-5) and (x+1).
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a characteristic, usually a numerical value, which describes a sample is called a _______. a. parameter b. statistic C. constant d. variable
Answer: B. statistic
Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.
This graph displays a linear function. What is the rate of change?
Answer:
5/1 or 5
Step-by-step explanation: You find two points that the line goes on. So in this it would be 1,1 for the first one, the second one is 2,4. Then you go from the first point up or down to get to the same level at the second point. Then you go over to the left or right to meet the second point, in this graph you will go up 5 times to get to the same level. Then over 1 time to get to the point. Then you divide the rise over the run the rise is 5 and the run is 1, so you would do 5 divided by 1 and the answer of that is 5.
Hope this helps you in the future
Smiles, MysticCryptic (Aka) Jordan
Answer:
5
Step-by-step explanation: I am very late
57 - ( - 13 ) =
please help i do not know it
negative times negative =postive
so 57 +13 = 70
neka cases a check for $245. The teller gave him two 50- dollar bills, six 20-dollar bills and f 5 dollar bills. determine the value of f.
There 5 5 dollars in the amount given by the teller to Neka
What is the total value of a single denomination?
The total value of a single denomination is the number of that denomination received by Neka multiplied by the value of each denomination
In other words, the total value of 50-dollar is $50 multiplied by 2 since there 2 50- dollar bills, the same applies all other bills.
Total amount=($50*2)+($20*6)+($5*f)
total amount=$245
$245=($50*2)+($20*6)+($5*f)
$245=$100+$120+($5*f)
$245=$220+($5*f)
$245-$220=$5*f
$25=$5*f
f=$25/$5
f=5
In essence, there are 5 5 dollar bills
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100 POINTS. ILL GIVE BRAINLIEST TO THE FIRST PERSON WHO GETS IT RIGHT.
Answer:
a
Step-by-step explanation:
Total for Likes Burritos: 70
Does not like burritos: 81
Total for does not like hamburgers: 95
I don't fully know if it's right because I got help from someone else
Find x . Round your answer to the nearest tenth of a degree.
Answer:
x ≈ 59.0°
Step-by-step explanation:
using the tangent ratio in the right triangle
tanx = \(\frac{opposite}{adjacent}\) = \(\frac{30}{18}\) , then
x = \(tan^{-1}\) ( \(\frac{30}{18}\) ) ≈ 59.0° ( to the nearest tenth )
Find the area (please hurry if you are answering, due soon)
Area of the figure is 171 cm²
See the attachment......
Area of triangle:-
1/2(12)(19)6(19)114cm²Area of square:-
7²49cm²Area of rectangle:
5(3)15cm²Total:-
15+49+114178cm²Using the descriptive statistics excel tool, what % of women in the sample has a masters degree?
To determine the percentage of women in a sample with a master's degree using Excel, you need to follow:
First, make sure your data is organized in columns, with one column for gender and another for education level.
Next, use the filter feature in Excel to display only the rows where the gender is "Female" or "Woman". This will help isolate the data for women in the sample.
Then, focus on the education level column and filter it to show only the rows where the education level is "Master's Degree". This will narrow down the data to women with a master's degree.
Count the number of women with a master's degree by using the COUNTIFS function in Excel. Set the criteria to match "Female" or "Woman" in the gender column and "Master's Degree" in the education level column. This will provide the count of women with a master's degree.
Now, calculate the total number of women in the sample by using the COUNTIF function. Set the criteria to match "Female" or "Woman" in the gender column. This will give you the count of all women in the sample.
Finally, divide the count of women with a master's degree by the count of all women in the sample and multiply by 100 to obtain the percentage. This will represent the percentage of women in the sample with a master's degree.
By following these steps and adapting them to your specific dataset in Excel, you can determine the percentage of women in the sample with a master's degree.
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Pls help with my homework I need help
Answer:
tan G = 1.6071
Step-by-step explanation:
tan G = 45/28
tan G = 1.6071
who is kay floxk i so confused so help me wit this
Do you mean Kay Flock? Because they are a rapper.
https://en.m.wikipedia.org/wiki/Kay_Flock
Currently, you have $80 and your sister has $145. You decide to save six dollars per week of your allowance. Your sister decides to spend her whole allowance plus seven dollars each week. How many weeks will it take for you to have as much money as your sister? Please include an equation.
Answer:
It will take you nearly 11 weeks
Step-by-step explanation:
80+6x = 145
6x = 145-80
6x = 65
x = 65/6 (weeks)
What is the expression 6k + 50.5 equal to? How do you write this equation?
Answer:
\( \huge\green{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}\)
\(6k + 50.5 = 0 \\ 6k = - 50.5 \\ k = \frac{ - 50.5}{6} \\ k = - 8.4166..\)
\( \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}\)
1. Place these numbers in order from smallest to largest:
8/5 , -3, 6, 3.1 , -2.5, 1/4, - 3/4 - 3/8
:)
Answer:
Step-by-step explanation:
-3/8, - 3/4, - 3, - 2. 5, 1/4, 8/5 3.1, 6
Zahra likes to go rock climbing with her friends. In the past, Zahra has climbed to the top of the wall 7 times in 28 attempts. Determine the odds against Zahra climbing to the top. 3:1 4: 1 3: 11 3:4
The odds against Zahra climbing to the top can be determined by calculating the ratio of unsuccessful attempts to successful attempts. In this case, the odds against Zahra climbing to the top are 3:1.
To determine the odds against Zahra climbing to the top, we need to compare the number of unsuccessful attempts to the number of successful attempts. In this case, Zahra has climbed to the top of the wall 7 times in 28 attempts. This means that she has been successful in 7 out of 28 attempts.
To calculate the odds against Zahra climbing to the top, we need to find the ratio of unsuccessful attempts to successful attempts. The number of unsuccessful attempts can be obtained by subtracting the number of successful attempts from the total number of attempts.
Total attempts - Successful attempts = Unsuccessful attempts
28 - 7 = 21
Therefore, Zahra has had 21 unsuccessful attempts. Now we can express the odds against Zahra climbing to the top as a ratio of unsuccessful attempts to successful attempts, which is 21:7. Simplifying this ratio, we get:
21 ÷ 7 = 3
So, the odds against Zahra climbing to the top are 3:1.
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One half divided by negative one seventh
Answer:
7/2 (7 over 2)
An Arrow-Debreu security pays $1 at expiry node (6,2). The upstate risk neutral probability is π=0.4 and the return over one time-step is R=1.05. What is the premium of this Arrow-Debreu security?
The value of the Arrow-Debreu security is calculated as the present value of its expected payoff, discounted at the risk-neutral rate. As a result, the premium of the Arrow-Debreu security can be computed using the following formula: \($P_{t}=\frac{1}{(1+R)^{n-t}}\times \pi$,\)
where π=0.4, R=1.05, n=6, and t=2 (expiry node).
By substituting the values, we obtain:
\($P_{2}=\frac{1}{(1+1.05)^{6-2}}\times 0.4 = \frac{0.4}{(1.05)^4} \approx 0.3058$.\)
Therefore, the premium of the Arrow-Debreu security is approximately $0.3058.
Arrow-Debreu securities are typically utilized in financial modeling to simplify the pricing of complex securities. They are named after Kenneth Arrow and Gerard Debreu, who invented them in the 1950s. An Arrow-Debreu security pays $1 if a particular state of the world is realized and $0 otherwise.
They are generally utilized to price derivatives on numerous assets that can be broken down into a set of Arrow-Debreu securities. The value of an Arrow-Debreu security is calculated as the present value of its expected payoff, discounted at the risk-neutral rate. In other words, the expected value of the security is computed using the risk-neutral probability, which is used to discount the value back to the present value.
The formula is expressed as:
\($P_{t}=\frac{1}{(1+R)^{n-t}}\times \pi$\),
where P_t is the price of the Arrow-Debreu security at time t, π is the risk-neutral probability of the security’s payoff, R is the risk-free rate, and n is the total number of time periods.However, Arrow-Debreu securities are not traded in real life. They are used to determine the prices of complex securities, such as options, futures, and swaps, which are constructed from a set of Arrow-Debreu securities.
This process is known as constructing a complete financial market, which allows for a more straightforward pricing of complex securities.
The premium of the Arrow-Debreu security is calculated by multiplying the risk-neutral probability of the security’s payoff by the present value of its expected payoff, discounted at the risk-neutral rate.
The formula is expressed as
\($P_{t}=\frac{1}{(1+R)^{n-t}}\times \pi$,\)
where P_t is the price of the Arrow-Debreu security at time t, π is the risk-neutral probability of the security’s payoff, R is the risk-free rate, and n is the total number of time periods. Arrow-Debreu securities are not traded in real life but are used to price complex securities, such as options, futures, and swaps, by constructing a complete financial market.
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may some one plz help me out to this
Can you provide the solution for this exercise?
Let u(w) = −(b − w)c. What restrictions on w, b, and c are required to ensure that u(w) is strictly increasing and strictly concave? Show that under those restrictions, u(w) displays increasing absolute risk aversion.
under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.
To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.
To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.
Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.
In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.
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