A commuter train travels 45 miles in 34 minutes. What is its speed in miles per hour?
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Related Questions
Sarah takes her 3 children to the zoo, Abi is 2 years
old, Max is 5 years old and Ty is 7 years old.
Under 5 year olds cost £1.50
5-12 year olds cost £3
How much do the 3 children cost?
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The total cost of all three children is £7.50. To solve the problem, we need to find the cost of each child and add them together as they are of different ages.
The cost of the child is based on their age, which is less than 5 years or 5-12 years. Abi is 2 years old, and under 5 years, so she will cost £1.50. Max is 5 years old, so he will be categorized as 5-12 years old and will cost £3.
Finally, Ty is 7 years old, and he falls under the category of 5-12 years, so he will cost £3. Therefore, the total cost of the three children is:
£1.50 (for Abi) + £3 (for Max) + £3 (for Ty) = £7.50. Therefore, the total cost of all three children is £7.50, which is the sum of Abi, Max, and Ty's individual costs of £1.50, £3, and £3, respectively.
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1. Simply the answers
2. State domain in interval notation
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When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead. The expression's total value can then be calculated.
What is the substitute f(x) for x in the expression?Using the given functions, we have:
\(f(x) = x^2 + 3\)
\(g(x) =\) \(\sqrt{(x-4)}\)
To find f(g(x)), we substitute g(x) for x in the expression for f(x):
\(f(g(x)) = (g(x))^2 + 3\)
= (\(\sqrt{(x-4))^2 + 3}\)
\(= (x-4) + 3\)
\(= x - 1\)
Therefore,\(f(g(x)) = x - 1.\)
To find g(f(x)), we substitute f(x) for x in the expression for g(x):
\(g(f(x)) =\) \(\sqrt{((f(x)) - 4)}\)
= \(\sqrt{((x^2 + 3) - 4)}\)
= \(\sqrt{(x^2 - 1)}\)
= |x|\(\sqrt{(x^2 - 1)}\)
Therefore, \(g(f(x)) =\) |x| \(\sqrt{(x^2 - 1)}\)
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Patrick managed to sell the 20th most bicycles last year of all the salespeople at the company.He also managed to sell the 20th least bicycles last year of all the salespeople at that company.How many salespeople were there at that company?Assume that no one sold the same number of bicycles than another
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definitely missing a number so it's prolly something like
a/20=20
sorry if this doesn't help you didn't give us much to work on
What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
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An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.
In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.
Order-Preserving Function:
A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.
Increasing Function:
If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).
Isomorphism:
A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:
a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).
b. f is onto (surjective): Every element in Q has a pre-image in P.
When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.
Automorphism:
An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.
These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.
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*) Which of the following numbers is 90 divisible by?
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3) Which graph represents a function?
X
2
10
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Answer:
D (Bottom right choice)
Step-by-step explanation:
This is because we have a linear line that changes the same amount every time.
The bottom right graph
Explanation:
Because the graph is going in a straight line. And the rate of change is constant
Which expressions represent rational numbers? Check all that apply.
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Answer:
Step-by-step explanation:
NVM ITS WRONG
A population of rare birds in town is currently listed at 2,000. It is declining at a rate of 2% per year. How many birds will be left after 20 years? Round your answer to the nearest whole number.
A. 1,335 birds
B. 1,980 birds
C. 2,972 birds
D. 23 birds
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Option(A) is the correct answer is A. 1,335 birds.
To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.
We can use the formula for exponential decay:
N = N₀ * (1 - r/100)^t
Where:
N is the final number of birds after t years
N₀ is the initial number of birds (2,000 in this case)
r is the annual decline rate (2% or 0.02)
t is the number of years (20 in this case)
Plugging in the values, we get:
N = 2,000 * (1 - 0.02)^20
N = 2,000 * (0.98)^20
N ≈ 2,000 * 0.672749
N ≈ 1,345.498
Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.
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What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer.
다.
1
-2
-2
1
-1
7
0
2
X
tiw b
- یہ
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9514 1404 393
Answer:
(c) -3/4
Step-by-step explanation:
Subtracting a positive number moves you to the left on the number line. Subtracting a negative number moves you in the opposite direction, to the right.
Here, we start at -2 1/2 = -5/2, and we move 1 3/4 = 7/4 to the right from there. Each mark on this number line is 1/4 unit, so we move 7 marks. The results is ...
-2 1/2 -(-1 3/4) = -5/2 +7/4
= -10/4 +7/4 = -3/4
suppose that we have collected information on how much a sample of households spend on clothing per year. if we are 90% confident that the true population mean will lie between $1,500 and $2,100, the chance that the population mean will either be less than $1,500 or above $2,100 is %.
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10% of the time, the population mean will go below $1,500 or exceed $2,100.
Given that,
Assume that we have data on the annual spending on apparel of a sample of families. The probability that the population mean will fall below $1,500 or rise over $2,100 is ________% if we are 90% positive that the genuine population mean will be between $1,500 and $2,100.
We have to fill the blank.
We know that,
90% of the time, the real population mean will fall in the range of $1,500 and $2,100.
The genuine population mean will therefore most likely fall between $1,500 and $2,100, with a 90% probability.
So, the probability that it will fall outside of this range (i.e., be either less than $1,500 or beyond $2,100) is 100-90, or 10%.
Therefore, 10% of the time, the population mean will go below $1,500 or exceed $2,100.
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Nicky opened a savings account with a single deposit of R1 000 on 1 April 2011. She
then makes 18 inonthly deposits of R700 at the end of every month. Her first payment
is made on 30 April 2011 and her last payment on 30 September 2012. The account
earns interest at 15% per annum compounded monthly.
Determine the amount that should be in her savings account inmediately after her last
deposit is made (that is on 30 September 2012).
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The amount that should be in Nickey's savings account immediately after her last deposit on September 30, 2012, using the future value concept, is R15,282.91.
What is the future value?The future value refers to the compounded value (at an interest rate) of the present value, including the periodic cash investments, over a period.
The future value can be determined using either the future value formula, future value table, or an online finance calculator, as below.
Data and Caluclations:N (# of periods) = 18 months
I/Y (Interest per year) = 15%
PV (Present Value) = R1,000
PMT (Periodic Payment) = R 700
Results
FV = R15,282.91 (R12,600 + R1,000 + R1,682.91)
Sum of all periodic payments = R12,600 (R700 x 18)
Total Interest = R1,682.91
Thus, the amount that should be in Nickey's savings account immediately after her last deposit on September 30, 2012, using the future value concept, is R15,282.91.
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Find the sum. Include all calculations in your answer.
-4 5/8 + 2 1/2
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Answer:
-2 1/8
Step-by-step explanation:
If a dose of 100 milligrams is contained in 4 milliliters, how many milliliters are in 40 milligrams?
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Need help on this please
Answers
Answer:
the last one
Step-by-step explanation:
PLZZZZ ANSWER FAST. THANK YOU!
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Answer:
3 ounces of water
Step-by-step explanation:
Ratios are equivalent:
6:4 is equivalent to 3:2
Graciela begins the month with $300 and is spending $20 per
week. Her brother Sergio begins the month with $150 and is saving $10 per week. Sergio wants to know when they will have the same amount of money.
W
Let represent the number of weeks since the beginning of the
month. Which equation represents this situation?
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Answer:
300-20w=?
150+10w=?
Step-by-step explanation:
Answer:
Step-by-step explanation:
320
what is the result when -7/8 is multiplied by -3.5?
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Answer:
Step-by-step explanation:
First, I will convert the decimal as a fraction or decimal, whichever one you prefer. I did fraction. So, -3.5 is the same as -7/2.
Second, for fraction multiplication, you will multiply the numerator and then the denominator.
\(\frac{-7 times -7}{8 times 2} = \frac{49}{10}\)
Third, we will convert the improper fraction to a mixed fraction by using long division 49 divided by 16 = 3R1.
3 WILL BE YOUR WHOLE NUMBER. 1 IS YOUR NUMERATOR AND 16 IS YOUR DENOMINATOR.
The Answer is 3 \(\frac{1}{16}\). Letter D
1/2, 2/3, 1/4, 5/6 order from least to greatest
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you’re welcome :))
3×/5 2×/3 + 1/5 = 0
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Answer:
what is the question. the equation is invalid.
From the equation, find the axis of symmetry of the parabola.
y=-4x² + 24x-35
a. X=1
b. x=-1
PD
Ο Α
OB
O C
OD
C.
d.
x=3
X=-3
Please select the best answer from the choices provided
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The equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.
We know that the method to find the axis of the symmetry of the parabola is given by:
x = - b / 2 a
We have the general equation of the parabola as:
y = a x² + b x + c
We have the equation of the parabola as:
y = - 4 x² + 24 x - 35
Comparing from this equation, we get that:
a = - 4
b = 24
c = - 35
Now, substituting the values, we get that:
x = - 24 / 2 (- 4)
x = - 24 / - 8
x = 24 / 8
x = 3
Therefore, the equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.
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summarize the relationship between the number of Faces, the number of Vertices and the number of Edges of a three-dimensional object
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Answer:
The relationship between the number of faces, vertices, and edges of a three-dimensional object is described by Euler's formula, which states that for any polyhedron (a solid object bounded by flat faces), the number of faces (F), vertices (V), and edges (E) satisfy the equation F + V - E = 2. This formula is true for any convex polyhedron, such as a cube or a regular tetrahedron.
The formula is based on the fact that every face of a polyhedron is bounded by a closed loop of edges, and each vertex is where three or more edges meet. The total number of edges is the sum of the number of edges around each face, which is equal to twice the number of faces since each edge is shared by two faces, and the number of edges meeting at each vertex, which is equal to the degree of the vertex (the number of edges meeting at the vertex).
Therefore, by knowing the number of faces, vertices, and edges of a three-dimensional object, we can determine if it is a convex polyhedron and use Euler's formula to check if the numbers are consistent with a solid shape.
marcels financial goal is to purchase a house to make Marcels financial goal of purchasing a house a specific goal he can
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Marcel can set a goal of purchasing the house in 5 years. The timeframe Factor enables Marcel to work towards his financial goal within a specified period.
Marcel's financial goal is to purchase a house. To make Marcel's financial goal of purchasing a house a specific goal, he can identify the following factors:
Specificity: Marcel should specify the type of house he wants to purchase. This includes the size of the house, the number of rooms, the location, the neighborhood, and the amenities he wants in the house. For instance, Marcel can specify that he wants to purchase a 3-bedroom bungalow house located in a suburban area.
Measurability: Marcel should identify how much money he needs to purchase the house. This means that he should set a financial target that he wants to achieve to be able to purchase the house. For instance, Marcel can set a target of saving $100,000 in 3 years to purchase the house. The measurability factor enables Marcel to track his progress toward achieving his financial goal.
Attainability: Marcel should set a financial goal that is achievable based on his income and financial situation. For instance, if Marcel's current income cannot enable him to save $100,000 in 3 years, he can adjust his financial goal to suit his financial situation.
Realistic: Marcel should set a realistic financial goal that he can achieve given his resources and time frame. For instance, Marcel should not set a financial goal that is too high that he cannot achieve it or too low that it does not challenge him.
Time-bound: Marcel should set a timeframe within which he wants to achieve his financial goal. This means that Marcel should set a specific date by which he wants to purchase the house.
For instance, Marcel can set a goal of purchasing the house in 5 years. The timeframe factor enables Marcel to work towards his financial goal within a specified period.
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HELP! PLEASE.............
Answers
9514 1404 393
Answer:
B. negative trend
Step-by-step explanation:
The sign of the slope of the best-fit line is the sign of the "trend". A line that slopes downward has a negative slope. Such a best-fit line indicates a negative trend.
I need some explaining this is so unclear
Answers
Question
Question 2
5 pts
You deposit $5000 in an account earning 7% interest compounded
monthly. How much will you have in the account in 10 years?
5 nts
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\(s = 5000(1.07) {}^{t} \)
\(s = 5000(1.07) {}^{10} \)
\(s = 5000(1.96715)\)
\(s = 9835.756 \: dollars\)
Select the graph of the equation below.
A.
B.
C.
D.
y= 1/2x^2 + 2x -6
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The graph of the equation above include the following: D. graph D.
What is the graph of a quadratic function?In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first graph of a quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0).
Since the leading coefficient (value of a) in the given quadratic function y= 1/2x² + 2x -6 is positive 1/2, we can logically deduce that the parabola would open upward and the solution would be on the x-intercepts. Also, the value of the quadratic function f(x) would be minimum at -8.
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A normal distribution has a mean of u = 60 and a standard deviation of o = 18. For each of the follow-
ing samples, compute the z-score for the sample mean
and determine whether the sample mean is a typical,
representative value or an extreme value for a sample
of this size.
a. M= 67 for n = 4 scores
b. M = 67 for n = = 36 scores
Answers
Answer:
HI
Step-by-step explanation:
HOW ARE
Figures are similar. Find x.
Answers
Answer:
24.3
Step-by-step explanation:
18/20 = x/20 (similar triangles)
If y = -x - 4 is horizontally stretched by a factor of 5, what is the equation after the transformation?
Answers
Answer:
y = - 1/5x - 4------------------------------
The function f(x) is horizontally stretched when the function f(bx) has the value of b between 0 and 1.
We have a function y = - x - 4.
If we need to find the equation of horizontally stretch of this function by a factor of 5, then our b = 1/5.
So the function is:
y = - 1/5x - 4Click on all the points that are solutions to y = x^2 - 9.
A) (0,-3)
B) (2,-5)
C) (3.-3)
D) (3,0)
E) (7,4)
Answers
9514 1404 393
Answer:
B) (2, -5)
D) (3, 0)
Step-by-step explanation:
I find it convenient to let a graphing calculator plot the points and the graph.
The only two points on the graph of the curve are ...
(2, -5) and (3, 0)
