The entire trip takes 18 hours (9 hours for the first part and 9 hours for the second part).
How to find time of the entire tripLet the distance between city A and city B = x miles, and
the distance between city B and city C = y miles.
x + y = 225
since time is equal, we write the average speed in terms of time to have
x/17 = y/8
8x = 17y
x = 17/8 y
substituting 17y/8 for x in the first equation:
17y/8 + y = 225
Multiplying both sides by 8, we get:
17y + 8y = 1800
Simplifying:
25y = 1800
y = 72
using the equation
x + y = 225
x = 225 - y = 225 - 72 = 153
Then we solve for time using
x/17 = y/8
153/17 = 72/8
9 = 9
So it takes 9 hours to travel from A to B (and from B to C).
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Josh says that (4)(-7)(-1) is equal to (4)(7). Evangelina says (4)(-7)(-1) is
equal to (-28)(-1). Who is correct? *
O Josh
O Evangelina
O Both
O No one
Answer:
Evangelina and Josh can be considered correct but this can be simplified to just 28. so if you want the simplification of this problem it would be no one but both are correct if you just want to see if they equal the same answer
Step-by-step explanation:
they are correct because they could simplify it
Evangelina and Josh can be considered correct but this can be simplified to 28.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.
Given that Josh says that (4)(-7)(-1) is equal to (4)(7).
Evangelina says (4)(-7)(-1) is equal to (-28)(-1).
(4)(-7)(-1) = (4)(7) =28
Similalray;
(-28)(-1) = 28
We can see that the answer of the both the simplification are correct.
Evangelina and Josh can be considered correct but this can be simplified to 28.
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Life insurance companies take risks much like arcade game owners take risks. Mollie has a booth on a popular beach boardwalk. She charges $2 per game. Winners receive a $5 prize. The probability of winning the game is 0.1.
Mollie can expect to lose $1.50 per game played.
To solve this problem
What is Mollie's expected profit per game, assuming players play only once?
First, let's calculate the expected revenue per game:
Probability of winning: 0.1
Revenue from winners: $5
Probability of losing: 0.9
Revenue from losers: $0
Expected revenue per game = (0.1 x $5) + (0.9 x $0) = $0.50
Now, let's calculate the expected cost per game:
Cost per game: $2
Expected cost per game = $2
Therefore, Mollie's expected profit per game is:
Expected profit per game = Expected revenue per game - Expected cost per game
Expected profit per game = $0.50 - $2
Expected profit per game = -$1.50
This means that, on average, Mollie can expect to lose $1.50 per game played.
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15. Express the repeating decimal 4.61 as an exact fraction using a geometric series with 0.01 being the repeating decimal.
Answer:
4 11/18------------------------
We have a repeating decimal 4.6(1).
Let's express it as a GP:
4.6(1) = 4.6 + 0.01 + 0.001 + 0.0001 + ...Fund the sum of infinite GP, with the first term of a = 0.01 and common ratio of r = 0.1:
S = a/(1 - r) S = 0.01/(1 - 0.1) = 0.01/0.9 = 1/90Add 4.6 to the sum:
4.6 + 1/90 =4 + 0.6 + 1/90 =4 + 6/10 + 1/90 = 4 + 54/90 + 1/90 = 4 + 55/90 = 4 + 11/184 11/18Hence the fraction is 4 11/18.
The_____
number in a data set is called the MEDIAN.
Answer:
The middle number in a data set is called the MEDIAN.
Step-by-step explanation:
Answer:
Always middle number..
1) Write a polynomial equation for a function with a graph that bounces off the x-axis at (-1,0),
crosses it at (4,0), and goes through the point (-2, -18).
Answer:
f(x) = 3x³ -6x² -21x -12
Step-by-step explanation:
You want a polynomial function that touches the x-axis at x = -1, crosses it at x = 4, and goes through the point (-2, -18).
Factored formEach zero (p) of a polynomial corresponds to a linear factor (x -p). If the zero has even multiplicity, the function will not change sign there, but will touch the x-axis and "bounce".
The requirements indicate a factor (x +1) with even multiplicity, and a factor (x -4). The least-degree such polynomial will have the factored form ...
f(x) = a(x +1)²(x -4)
ScalingThe value of this polynomial at x = -2 is ...
f(-2) = a(-2 +1)²(-2 -4) = -6a
We want this to be -18, so ...
-6a = -18 ⇒ a = 3
Then the factored polynomial is ...
f(x) = 3(x +1)²(x -4)
When we multiply this out, we get ...
f(x) = 3x³ -6x² -21x -12
__
Additional comment
The attached graph verifies the desired characteristics.
siddharth and alek's new restaurant is doing really well. it has a gigantic location that just opened nearby uw campus. however, the restaurant is takeout only. the restaurant accepts orders through various food delivery apps, such as ubereats, doordash, fantuan, etc. the restaurant uses k total apps, each with their own queue of customers.
Siddharth and Alek's new restaurant, located near the UW campus, is experiencing great success.
Despite being takeout-only, the restaurant is able to accept orders through multiple food delivery apps, including UberEats, DoorDash, Fantuan, and more. The restaurant utilizes a total of k apps, each having its own queue of customers.
The restaurant's decision to accept orders through various food delivery apps allows them to reach a wider customer base and cater to the preferences of different users.
By partnering with multiple platforms like UberEats, DoorDash, and Fantuan, the restaurant can tap into their respective user bases and leverage their delivery infrastructure. Each of these apps likely operates independently, maintaining their own queues of customers and managing orders received through their platform.
By utilizing k total apps, the restaurant can efficiently handle a large volume of orders and effectively serve its customers while benefiting from the popularity and reach of multiple delivery platforms.
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pls solve ty
What is the volume of this prism?
864 ft³
952 ft³
1008 ft³
Answer:
1008 ft cubed
Step-by-step explanation:
18 times 7 times 8 equals 1008
Answer: 1008 ft³
If you're in k12 this is the answer :P
Joe has dimes and nickels in his piggy bank totaling $1.45. The number of nickels he has is 5 more than twice the number of dimes, d. Write an equation that can be used to find the numbers of dimes, d, Joe has.
The number of dimes Joe has is 6.
Joe has dimes and nickels, the total amount is $1.45
We have to find the number of dimes Joe has.
Suppose the number of dimes is d, so we have the number of nickels is 2d + 5
Now from the question, we get an equation:
0.10d + 0.05( 2d+ 5) = $1.45
To know the value of d we need to solve the equation:
0.10d + 0.10d + 0.25 = 1.45
0.20d = 1.20
d = 120/20
= 6
Hence we get the total number of dimes Joe has is 6.
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what is x?: 8+9.8x+9=3.8x - 16+3.8x
Answer:
-15
Step-by-step explanation:
calculate a correlation matrix for the following data. data correlations fructosamine group visits.xlsxdownload data correlations fructosamine group visits.xlsx fructosamine number of group visits attended infant birthweight in grams 152 6 3175 173 5 3225 174 4 3350 175 4 3400 176 3 3530 183 2 3540 188 3 3525 192 3 3650 202 2 3600 205 2 3550 210 1 3950 215 2 3325 220 2 4500 258 1 4800 how would you interpret the correlation between the number of group visits attended and fructosamine level? group of answer choices strong moderate weak weak to moderate
A moderately negative correlation between both of them variables is shown by the resultant correlation coefficient of -0.55.
We can construct a correlation matrix to determine the relationship between the number the group visits received and the fructosamine level. This indicates that the fructosamine level typically decreases as the amount of group visits increases.
This could imply that patients can keep better control of glucose, as seen by lower fructosamine levels, by participating in group visits and getting support or education about managing diabetes.
It's crucial to remember that a connection does not necessarily indicate a cause.
Further study is required to show a causal link between the fructosamine level and the number the group visits that participants attended. Overall, the moderately negative correlation points to some potential benefits of group visits for treating diabetes.
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Find the number of days in (a) 5 weeks, (b) 12 weeks, (c) n weeks.
Answer:
Step-by-step explanation:
a. 5x7 = 35 days
b. 12 x 7 = 84 days
c. not sure, its missing the number
What is the sum of all the integers that are greater than -7 but less than 7
Answer:
0
Step-by-step explanation:
All the numbers equal each other out.
for example:
-6+6=0
so if you have -6+-5+-4+-3+-2+-1+0+1+2+3+4+5+6, all of the numbers equal each other out.
Hope this helps!
What is the slope of a line that is parallel to the line y = x 2?
Daniel Baked 18 pies in 6 days find the unit rate to identify how many pies Daniel baked each day
Answer: 2 pies
Step-by-step explanation: 18/6 = 2
Please help!!
I'll give brainlist!
Step-by-step explanation:
Perpendicular : means two lines meet at 90°
1) angle B = 90° - 50°
= 40°
2) Angle D = 90° - 30°
= 70°
What is the length of segment AC?
The y difference of the 2 lines are 6(you can just count these)
The x difference of the 2 lines are 8(again you can count this)
Now calculate distance using distance formula (the pythag theorem)
sqrt(6^2+8^2)=sqrt 100= 10
Therefore the distance of AC is 10.
Given: ABC, D AC.
BD = DC, m1=mZ2,
mBDC = 100°
Find: m A, MB, mC
Answer:
see explanation
Step-by-step explanation:
since BD = DC then Δ BCD is isosceles with base angles being congruent
∠ C = ∠ 2 = \(\frac{180-100}{2}\) = \(\frac{80}{2}\) = 40°
since ∠ 1 = ∠ 2 then ∠ 1 = 40° , so
∠ B = ∠ 1 + ∠ 2 = 40° + 40° = 80°
the sum of the 3 angles in Δ ABC = 180° , then
∠ A = 180° - ∠ B - ∠ C = 180° - 80° - 40° = 180° - 120° = 60°
then
∠ A = 60° , ∠ B = 80° , ∠ C = 40°
Write the chain rule for the function:
dh/dx, where h(x) = f(x, u(x), v(x))
The chain rule for the function: dh/dx = df/dx * du/dx * dv/dx, where df/dx, du/dx and dv/dx are the derivatives of f, u and v with respect to x.
The chain rule is a rule used to calculate the derivative of a composite function. It states that the derivative of the composite function is equal to the product of the derivatives of each of its component functions. In the case of the function dh/dx, where h(x) = f(x, u(x), v(x)), the chain rule can be written as:
dh/dx = df/dx * du/dx * dv/dx
This means that the derivative of h with respect to x is equal to the product of the derivatives of f with respect to x, u with respect to x, and v with respect to x. This can be broken down further, where df/dx is the derivative of f with respect to x, du/dx is the derivative of u with respect to x, and dv/dx is the derivative of v with respect to x.
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What is 185/100 + 50% + 4%
-------------------------------------------------------------------------------------------------------------
Answer: 2.39
-------------------------------------------------------------------------------------------------------------
Given: \(\textsf{185/100 + 50\% + 4\%}\)
Find: \(\textsf{Convert to simplified decimal}\)
Solution: In order combine the numbers together we must first convert all of them to a fraction. The first number is already in fraction form, but the other ones are in a percent form. What a percent value means is just a number out of 100 which we can use to change 50% to 50/100 and 4% to 4/100.
Now we have 185/100 + 50/100 + 4/100 which we can combine together to 239/100 to which we can use a calculator and figure out that the answer in decimal form would be 2.39
\(\huge\text{Hey there!}\)
\(\mathsf{\dfrac{185}{100} + 50\% + 4\%}\\\\\mathsf{= \dfrac{185}{100} + \dfrac{50}{100} + \dfrac{4}{100}}\\\\\mathsf{= \dfrac{185\div 5}{100\div 5} + \dfrac{50\div50}{100\div50} + \dfrac{4\div4}{100\div4}}\\\\\mathsf{= \dfrac{37}{20} + \dfrac{1}{2} + \dfrac{1}{25}}\\\\\mathsf{= 1\dfrac{17}{20} + \dfrac{1}{2} + \dfrac{1}{25}}\\\\\mathsf{= \dfrac{47}{20} + \dfrac{1}{25}}\\\\\mathsf{= 2 \dfrac{7}{20} + \dfrac{1}{25}}\\\\\mathsf{= 2\dfrac{39}{100}}\\\\\mathsf{= \dfrac{239}{100}}\\\\\mathsf{\approx 2.39}\)
\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{239}{100}\ or\ 2.39}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
Pls help!!!! Match each equation with its solution
Determine if the given set is a subspace of P2. Justify your answer. The set of all polynomials of the form p(t) = at, where a is in R. Choose the correct answer below. O A. The set is a subspace of P2. The set contains the zero vector of P2, the set is closed under vector addition, and the set is closed under multiplication on the left by mx 2 matrices where m is any positive integer. OB. The set is a subspace of P2. The set contains the zero vector of P2, the set is closed under vector addition, and the set is closed under multiplication by scalars. O C. The set is not a subspace of P2. The set is not closed under multiplication by scalars when the scalar is not an integer. OD. The set is not a subspace of P2. The set does not contain the zero vector of P2
The correct answer is B. The set is a subspace of P2. The set contains the zero vector of P2, the set is closed under vector addition, and the set is closed under multiplication by scalars.
1. The set contains the zero vector of P2:
When a=0, p(t) = 0t = 0, which is the zero vector in P2.
2. The set is closed under vector addition:
Let p1(t) = a1t and p2(t) = a2t be any two polynomials in the set. Their sum is:
p1(t) + p2(t) = a1t + a2t = (a1 + a2)t
Since a1 + a2 is also in R, the sum is still in the same set.
3. The set is closed under multiplication by scalars:
Let p(t) = at be a polynomial in the set and let c be any scalar in R. Then:
cp(t) = c(at) = (ca)t
Since ca is also in R, the product is still in the same set.
Since all three conditions are satisfied, the set is a subspace of P2.
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The price of a computer is reduced by 17.5%
The reduced is £264
By how much is the price reduced
Answer:
To find out by how much the price was reduced, we can use the following equation:
price reduction = original price * reduction percentage
We know that the price reduction is £264 and the reduction percentage is 17.5%, so we can plug those values into the equation to get:
price reduction = £264 / 17.5%
To solve this equation, we need to express the percentage as a decimal. We can do this by dividing the percentage by 100:
price reduction = £264 / (17.5 / 100)
This simplifies to:
price reduction = £264 / 0.175
Solving this equation gives us a price reduction of £1512.
So, the original price was reduced by £1512.
Step-by-step explanation:
select the correct volume. sarah has a solid wooden cube with a length of centimeter. from each of its 8 corners, she cuts out a smaller cube with a length of centimeter. what is the volume of the block after cutting out the smaller cubes?
The volume of the block after cutting the smaller cubes is:
volume = 56/125 \(cm^{3}\)
What is volume?
Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies.
The formula to calculate the volume of the cube is given by:
Volume = \(a^{3}\), where a is the length of its sides or edges
Length of solid wooden cube= \(\frac{4}{5} cm\)
Length of smaller wooden cube= \(\frac{1}{3} cm\)
Volume of the large cube = \((\frac{4}{3} )^{3}\)
Volume of the large cube = \(\frac{64}{125} cm^{3}\)
Volume of the small cube = \(\frac{1}{5} cm^{3}\)
Volume of the small cube = \(\frac{1}{125} cm^{3}\)
Volume of block after cutting out the smaller cubes is
= \(\frac{64}{125} -\frac{(8)(1)}{125}\)
= \(\frac{64-8}{125}\)
=\(\frac{56}{125}\)\(cm^{3}\)
Hence, the volume of the block after cutting the smaller cubes is:
volume = 56/125 \(cm^{3}\)
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help me with this please
The values of a, b, c are 152°, 28°, 152° respectively.
What are angle at a point?Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.
The sum of angles at a point will give 360°.
This means that a + b + c + 28 = 360
c +28 = 180° ( angle on a straight line)
c = 180 -28
c = 152°
c = a( alternate angles are equal)
therefore the value of a = 152°
b = 28( alternate angles are equal)
therefore the value of b is 28
therefore the values of a, b, c are 152°, 28°, 152° respectively
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Frank the lumberjack has a log that is 291 centimetres long. He cuts it into three pieces. Work out the length of the third piece if the first two pieces are 67cm and 181cm long.
Answer:
43cm
Step-by-step explanation:
Given
Length of Log = 291cm
First Piece = 67cm
Second Piece = 181cm
Required
Determine the length of the third piece
Given that the log was cut into three;
this implies that;
Length of Log = First Piece + Second Piece + Third Piece
Substitute values for first piece, second piece and length of log;
\(291 = 67 + 181 + Third\ Piece\)
\(291 = 248 + Third\ Piece\)
Subtract both sides by 248
\(291 - 248 = 248 - 248 + Third\ Piece\)
\(43 = Third\ Piece\)
\(Third\ Piece = 43\)
Hence, the length of the third piece is 43cm
Can somebody help me please hurry
Answer:
The lime represents 0 im pretty sure.
I believe so because on the bottom left it says that lime + cherry = cherry, which could only mean that the lime has a value of 0, otherwise the sum would be different.
Compute 123 × 45 + 246 × 30 + 369 × 15.
Answer:
Step-by-step explanation: 123 × 45 + 246 × 30 + 369 × 15.= 18450
A) A researcher believes that a particular study exhibits large sampling error. What does the researcher mean by sampling error? B) How can sampling error be diminished? C) Discuss why one of the following methods of sample selection might yield sampling error: convenience, snowball, or judgmental.
Sampling error refers to the discrepancy between sample characteristics and population characteristics. It can be diminished by increasing the sample size, using random sampling techniques, and improving response rates.
A) Sampling error refers to the difference between the characteristics of a sample and the characteristics of the population from which it was drawn.
In other words, sampling error refers to the degree to which the sample statistics deviate from the population parameters.
B) Sampling error can be diminished by increasing the sample size, using random sampling techniques to ensure that the sample is representative of the population, and minimizing sources of bias in the sampling process.
C) Convenience sampling, snowball sampling, and judgmental sampling are all methods of non-probability sampling, which means that they do not involve random selection of participants.
As a result, these methods are more likely to yield sampling error than probability sampling methods.
Convenience sampling involves selecting participants who are readily available, which may not be representative of the population of interest.
Snowball sampling involves using referrals from existing participants, which may create biases in the sample.
Judgmental sampling involves selecting participants based on the researcher's judgment of who is most relevant to the study, which may not be representative of the population of interest.
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Find each value.
p(4,4)
p(6,3)
p(9,5)
Answer:
the probability: (4,4) it is certain to happen. (6,3) it is not likely nor unlikely
because it is half. (9,5) it is likely to happen.
Step-by-step explanation:
3/4-5/8 as a mixed number
Answer:
2/16
Step-by-step explanation:
First you need to find a common multiple of 4 and 8. Let's do sixteen.
Since we have changed the denominator, we need to change the numerator aswell
3/4 turns to 12/16 because to get sixteen, 4 is multiple by four, so we do the same to the 3 (multiply it by 4)
5/8 turns in 10/16, because we multiplied the 8 (denominator) by 2, so we have to do the same to the 5 (numerator).
12/16-10/16=2/16,
you can also simplify it to 1/8, if you want.