Answer:
D
Step-by-step explanation:
I dont think this needs explained
Answer:
The last option, it is greater than the distance from the Movie Theater to the Arcade
Step-by-step explanation:
Distance from food court to store is 6 units
Distance from movie theater to arcade is 5 units
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $356 to drive 380 mi and in June it cost her $404 to drive 620 mi. The function is C(d)=0.2+280 (b) Use part (a) to predict the cost of driving 1800 miles per month. (c) Draw a graph (d) What does the slope represent? What does the C-intercept represent? Why does a linear function give a suitable model in this situation?
(b) $640 (c) y-int of 280, positive slope (d) It represents the cost (in dollars) per mile. It represents the fixed cost (amount she pays even if she does not drive). A linear function is suitable because the monthly cost increases as the number of miles driven increases.
To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.
(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).
The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.
This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.
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can someone answer this question really quick
Simplify the expression by combining like terms.
3.6x+5.9−2.2−1.7x
Enter your answer as an expression, like this: 42x+53
Answer:
\(1.9x+3.7\)
Step-by-step explanation:
\(3.6x-1.7x+5.9-2.2=1.9x+3.7\)
A sequence of translations maps triangle ABC to triangle A'B'C'.
Triangle ABC has vertices at G(-8,2), H(13.2), I(-2.10)
The coordinates of A' are (-1,-3).
What are the coordinates for B and Cl?
AM
M
Hi, did you ever get the answer?
I'm doing a test now and I was seeing if you could tell me the answer because I'm not 100% what it is.
Helppppp pleazeee!!!
Answer:
wooo
Step-by-step explanation:
Jessie flipped a coin twenty times. She got five heads and fifteen tails. What is the experimental probability of flipping heads?
The solution is obviously C since 68% heads is correct answer is C.
Experimental probability is the probability that is gotten from experiment
theoretical is from calculating it with math
so we look at the ones with experimental probability and cross the answers out with theoretical probability (cross out B and D)
look at others
probability is (desired outcomes )/(total possible outcomes)
find total possible by adding
62+38=100
head=62
tails=38
probability of
heads=62/100=62%
tails=38/100=38%
look at choices A and C
A, 32% heads
C, 62% heads
The answer is obviously C since 68% heads is correct answer is C.
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complete question:
Timmy flipped a coin one hundred times. He got 62 heads and 38 tails. Which statement best describes this situation?
A) 32% is the experimental probability of getting a head on a coin flip in this situation.
B) 62% is the theoretical probability of getting a head on a coin flip.
C) 62% is the experimental probability of getting a head on a coin flip in this situation.
D) 68% is the theoretical probability of getting a tail on a coin flip in this situation.
what is the measure of angle c
Answer:
? wouldn't it be obtuse
Step-by-step explanation:
What is the solution to the system of equations?
Which is a better buy, 5 for $4.25 or 8 for $6.88?
Answer:
5 for $4.25
Step-by-step explanation:
First you find how much of one each cost
4.25 divided by 5 = 0.85
6.88 divided by 8 = 0.86
The one for 5 for $4.25 is one cent less
one cent is still money
3. Explain why * =
61
if the marginal propensity to consume is 0.65, the spending multiplier is: 4. 1.33. 1.54. 2.86.
In conclusion the correct solution is 1.54 as the spending multiplier.
The spending multiplier is a measure of the impact of changes in spending on overall economic output. It represents the amount by which a change in spending is multiplied throughout the economy. In this case, the question provides a marginal propensity to consume (MPC) of 0.65.
The MPC represents the portion of additional income that individuals choose to spend rather than save. Since the MPC is 0.65, it means that for every additional dollar earned, individuals will spend 65 cents and save the remaining 35 cents.
To calculate the spending multiplier, we take the reciprocal of the MPC. In this case, the reciprocal of 0.65 is approximately 1.54. This means that a change in spending of $1 will result in a total change in economic output of approximately $1.54.
For example, if there is an increase in government spending by $100 million, the total impact on the economy will be approximately $154 million. This is because the initial increase in spending will lead to additional income for individuals, who in turn will spend a portion of that income, leading to further rounds of spending and economic activity.
Therefore, the correct answer is 1.54 as the spending multiplier.
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You have two jars of cookies, each of which starts with n cookies initially. every day, when you come home, you pick one of the two jars randomly (each jar is chosen with probability 1/2) and eat one cookie from that jar. one day, you come home and reach inside one of the jars of cookies, but you find that is empty! let x be the random variable representing the number of remaining cookies in non-empty jar at that time. what is the distribution of x?
The value of n affects how x is distributed. There is just one feasible value for x if n is odd, which is (n-1)/2. There are two possible values for x if n is even: n/2 and (n/2)-1.
We can think about how many different ways the cookies could have been consumed so that the quantity of cookies left is x to determine the likelihood of a specific value of x.
There are two cookies in the first jar and none in the second.
There are no cookies in the first jar and two cookies in the second jar.
In general, there are (n/2) ways that the cookies may have been consumed such that the number of cookies left over is x if n is even and x is (n/2)-d, where d is a non-negative integer. There is only 1 way that the cookies could have been consumed such that the number of cookies left over is x if n is odd and x is (n-1)/2.
This allows us to create the probability distribution for x shown below:
If n is odd, P(x=(n-1)/2)=1 applies.
P(x=n/2)=1/2
P(x=(n/2)-1)=1/2 if n is even.
answer is if n is odd then 1/2 and if n is even then 1/2.
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Which line is parallel with the line y = -4x + 2?
A. 4x + y = -5
B. -4x + y = 5
C. -x + 4y = 2
D. x + 4y = -2
Can anyone help me with this?
A composite function, also known as f of g of x, is formally denoted as f(g(x)) or (f g)(x), and it requires the substitution of x = g(x) in f. (x). Another way to read it is "f circle g of x." It is a process that joins two functions to create a third, distinct function.
What is composite function?The composite function F of G of X is composed of the two functions f(x) and g. (x). Let's use an actual situation to better comprehend f of g of x. We employ the slicer and the fryer for making french fries. Assume that x is a potato, that the fryer is performing the function f(x), and that the slicer is performing the function g(x) (frying the potato).
A composite function, also known as f of g of x, is formally denoted as f(g(x)) or (f g)(x), and it requires the substitution of x = g(x) in f. (x). Another way to read it is "f circle g of x." It is a process that joins two functions to create a third, unique function. The output of one function becomes the input of another function in f of g of x. It can be compared to a sequence of tools or processes.f(x) = 2x + 3 and g(x) = x2
f of g of x = (f ∘ g)(x) = f(g(x))
g of f of x = (g ∘ f)(x) = g(f(x))
How to Find F of G of x?We are aware that anytime we simplify a mathematical equation, we always operate on the elements inside the brackets first. Therefore, in order to obtain f(g(x)), we must first identify g(x), which we must then use as the input for f(x) and simplify. Here is an illustration to help you comprehend. Assume that g(x) = x2 and f(x) = 2x + 3. We'll discover f(g(3)).
Step 1: Find g(3).g(3) = 32 = 9.
Step 2: Find f(g(3)) by using g(3) as input for f(x).f(g(3)) = f(9) = 2(9) + 3 = 18 + 3 = 21.
Then
To find f(g(x)), substitute x = g(x) into f(x).To find g(f(x)), substitute x = f(x) into g(x).To know more about composite function refer to:
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Find the area of the surface generated when the given curve is revolved about the given axis. 1 8x y = = 7/6(e³x + e - 8x), for -3≤x≤ 3; about the x-axis 16 The surface area is square units. (Type an exact answer, using as needed.)
Step-by-step explanation:
The surface area generated by revolving the curve 8xy = 7/6(e³x + e-8x) about the x-axis for -3 ≤ x ≤ 3 is given by:
A = 2π∫(a to b) y(x) √(1 + [y'(x)]²) dx
where y(x) = 7/6(e³x + e-8x)/(8x) and y'(x) can be found using the quotient rule as:
y'(x) = [(8x)(3e³x - 8e-8x) - (7/2)(e³x + e-8x)(8)]/(8x)²
Simplifying this, we get:
y'(x) = (3e³x - 8e-8x - 28/3e³x - 28/3e-8x)/(4x²)
y'(x) = (-19/3e³x - 28/3e-8x)/(4x²)
Substituting these values into the formula for surface area, we get:
A = 2π∫(-3 to 3) [7/6(e³x + e-8x)/(8x)] √(1 + [-19/3e³x - 28/3e-8x)/(4x²)] dx
Simplifying this, we get:
A = π∫(-3 to 3) [7/24(e³x + e-8x)] √[(16x² - 19e³x - 28e-8x)/(3x²)] dx
This integral cannot be solved using elementary functions, so we must use numerical methods to approximate the value of the integral.
Using a calculator or software, we find that the surface area is approximately 532.121 square units.
Hope I helped ya...
what is 4 over 32 x 100% ??
Step-by-step explanation:
look at above picture ️️️
Which of the following statements is true? Square A'B'C'D' is the image of square ABCD after a dilation and a rotation. Square A'B'C'D' is the image of square ABCD after a reflection and a dilation. Square A'B'C'D'is the image of ABCD after a reflection and a translation Square A'B'C'D' is the image of ABCD after a rotation.
Answer:
Square A'B'C'D' is the image of ABCD after a reflection and a translation
Explanation:
Given the quadrilateral ABCD, with coordinates;
\((-2,9),(-7,9),(-7,4),(-2,4)\)From the given image A'B'C'D', the size of the image and that of the pre-image is the same so, there is no dilation since there is no change in size.
Looking at the orientation of the image, we can observe the pre-image was reflected across the x-axis;
\((x,y)\rightarrow(x,-y)\)Looking further, we can see that there has been a shift in the position of the image after the reflection. So, there is also a translation after the reflection.
Therefore, Square A'B'C'D' is the image of ABCD after a reflection and a translation
please answer correctly and I will give you a prize
Step 1: Distribute:
3(x+2) + 5(x+4) = 3•(x+2) + 5•(x+4)
= 3•x + 3•2 + 5•x + 5•4
= 3x + 6 + 5x + 20
Step 2: Combine Like terms
= 8x + 26
Find the y-intercept and the slope of the line.-4x+3y=-2
Answer: The y-intercept is -2/3
Step-by-step explanation: Im good at maths
. Decide whether each of these questions is statistical or non-statistical. How much sugar is in this cookie?
Answer:
i think its statistical
Step-by-step explanation:
Please help me
What’s the slope of this graph??
The slope of the line passing through the points (0, 30) and (8, 18) is -1.5.
Given is a graph of a line passing through the points (0, 30) and (8, 18).
To find the slope of the line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's use the points (0, 30) and (8, 18) to calculate the slope:
x1 = 0
y1 = 30
x2 = 8
y2 = 18
slope = (18 - 30) / (8 - 0)
= -12 / 8
= -1.5
Therefore, the slope of the line passing through the points (0, 30) and (8, 18) is -1.5.
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What do balloon mortgage and ARM have in common?
Answer:
In other respects, a balloon mortgage resembles an adjustable rate mortgage (ARM) with an initial rate period equal to the balloon period. A 7-year balloon, for example, is usually compared to a 7-year ARM. Both have a fixed-rate for 7 years, after which the rate will be adjusted.
Step-by-step explanation:
Answer:
Both are subject to current market rate after the initial rate period.
Step-by-step explanation:
Rebekah performed an experiment with a standard number cube. She rolled the cube and recorded the results in the frequency table. The frequency table is given below. Find the experimental probability of the cube landing on three.
Answer:
Step-by-step explanation:
The experimental probability of the cube landing on three is 1/10.
-5b+6=4-5b help me please someone it is due at the end of classs
Answer:
24
Step-by-step explanation:
Answer:
6 = 4
No Solution
Step-by-step explanation:
Solve and reduce to lowest terms: 8/11 x 1/2
Hii!
8/11×1/2 is 8/22
Simplified to
8/22->4/11
Hope dis helps:]]
Brainliest?
A club deposited $50,000 in a savings account at the beginning of the year. Interest will be paid at a rate of 3% at the end of the year. How much interest will the club receive for a year? Please help!
Is the function positive or negative over the interval (–8, –6)?
Answer:negative
Step-by-step explanation:
Because it should be on the bottom left corner if you are using a graph it is different in each corners of the graph. There is four sides for the graph.
x2 + 3x + 1 = 5. know the answer but need to understand how?
Answer:
\(x=-4,\: x=1\)
Step-by-step explanation:
\(x^2+3x+1=5\\\\x^2+3x-4=0\\\\(x+4)(x-1)=0\\\\x=-4,\: x=1\)
Make sure you use the Zero Product Property to solve for each factor when the equation is set equal to 0 and can be factored.
What is √84 simplified
The simplified form of √84 is 2√21.
To simplify the given value, first, we need to write down the prime factorization of 84.
The prime factorization of 84 = 2² × 3 × 7
Therefore,
√84 = √(2² × 3 × 7)
Applying the radical rule: √ab = √a × √b, we get
√84 = √2² × √(3 × 7)
Applying the radical rule: √a² = a, for a ≥ 0, we get
√84 = 2 × √(3 × 7)
Multiply the numbers 3 and 7 we get 3 × 7 = 21
√84 = 2 × √21
√84 = 2√21
Therefore, the simplified form of √84 is 2√21.
Refer to the attached image for the above steps.
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Enter a rational number that is equivalent to -24/4
Answer:
The rational number would be -6.
Step-by-step explanation:
A rational number that can be written as a fraction. In other words, it is a number that can be represented as one integer divided by another integer.
Hope this helps!
Answer:
-48/8
Step-by-step explanation:
Or another examples:
-72/12
-96/16
-120/20
If you know the answer to this question please help!! ASAP
7th grade Math
Answer:
22°
Step-by-step explanation:
a right angle have 90°
So
x+68°=90°
=>x=90-68
=22°