a race started at 9 am.The winner crossed the 3 km finish line at noon. What was the average rate of speed for the winner?
Answers
Answer:
1 km per hour
Step-by-step explanation:
3/(12-9)
total distance divided by time
Related Questions
Quadrilateral pqrs was dilated to produce quadrilateral pqrs on the grid below. What was the apparent scale factor of the dilation used to produce quadrilateral pqrs?
Answers
Answer:
\(Scale\ Factor = 0.4\)
Step-by-step explanation:
See attachment for complete question.
From the attachment, the following are the given parameters.
In PQRS
\(PQ = 20\)
\(QR = 20\)
\(RS = 15\)
\(SP = 10\)
In P'Q'R'S
\(P'Q' = 8\)
\(Q'R' = 8\)
\(R'S' = 6\)
\(S'P' = 4\)
Required
Determine the scale factor
The following is the relationship between a shape and its dilated image
\(Image = Original * Scale\ Factor\)
In this case:
\(P'Q'R'S = PQRS * Scale\ Factor\)
Make Scale Factor the subject:
\(Scale\ Factor = \frac{P'Q'R'S'}{PQRS}\)
Take PQ and P'Q' as points of reference
\(Scale\ Factor = \frac{P'Q'}{PQ}\)
Substitute values for PQ and P'Q'
\(Scale\ Factor = \frac{8}{20}\)
\(Scale\ Factor = 0.4\)
SOLVE FOR X ILL GIVE BRAINILEST
Answers
Answer:
x = -4
Explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = -4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
\((-2)(3x)+(-2)(-4)-x-3=33\) \(-6x +8 - x - 3 = 33\) \((-6x-x)+(8-3)=33\) \(-7x + 5 = 33\)Step 2: Subtract 5 from both sides.
\(-7x + 5 - 5 = 33 - 5\) \(-7x = 28\)Step 3: Divide both sides by -7.
\(\frac{-7x}{-7} =\frac{28}{-7}\) \(x = -4\)Step 4: Check if solution is correct.
\(-2(3(-4)-4)- (-4)-3=33\) \(-2(-12-4)+4-3=33\) \((-2)(-12)+(-2)(-4)+4-3=33\) \(24 + 8 + 4 - 3 = 33\) \(32 + 4 - 3 = 33\) \(36 - 3 = 33\) \(33 = 33\)Therefore, x = -4.
can somebody help I am really bad at this
Answers
Answer:
40 feet
Step-by-step explanation:
4+4+8+4+12+8
= 40 ft.
question asks if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. let p-hat denote the proportion of adults in the sample who say they support the increase. suppose that 40% of all adults in ohio support the increase. what is the mean of the sampling distribution of p-hat?
Answers
The average mean of all 40% of all adults in increase p-hats will be approximately 0.4.
If 40% of all adults in Ohio support the increase, this means that the population proportion is p = 0.4. We can use this value to calculate the mean of the sampling distribution of p-hat, which is given by the formula:
mean of p-hat = p
That is, the mean of the sampling distribution of p-hat is equal to the population proportion. In this case, the mean of the sampling distribution of p-hat is:
mean of p-hat = p = 0.4
So, if we take all possible samples of the same size from the population and calculate the proportion of adults who support the increase in each sample, the average mean of all those proportions (p-hats) will be approximately 0.4.
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What is the axis of symmetry of
the function y = −3(x − 2)² +1?
CX= 1
Dx=2
Ax=-3
B x= -2
Answers
The axis of symmetry is the one in option D, x = 2-
What is the axis of symmetry of the line?For a quadratic equation whose vertex is (h, k), the axis of symmetry is:
x = h
Here we have the quadratic equation:
y = −3(x − 2)² +1
We can see that the vertex is (2, 1) because the equation is in vertex form, and thus, we can conclude that the axis of symmetry of the equation is:
x = 2
So the correct option is D.
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Select all the decimals that are equivalent to (3 × 102) + (5 × 110 ).
Answers
Answer:
856.00
Step-by-step explanation:
Answer:
Sorry if I'm wrong but I'm pretty sure it's 300.50 and 300.5
Step-by-step explanation:
A snack mix recipe calls for 10 cups of cereal and 4 cups of pretzel sticks.
What is the constant of proportionality that relates the number of cups of cereal, y, to the number of cups of pretzel sticks, x?
Answers
The constant of proportionality that relates the number of cups of cereal, y, to the number of cups of pretzel sticks, x is y= 5/2x.
We have,
A snack mix recipe calls for 10 cups of cereal and 4 cups of pretzel sticks.
Using constant of proportionality
y = kx
where k is the constant
So, put y= 10 and x= 4 then
10 = k (4)
k = 10/4
k= 5/2
Thus, the constant of proportionality is 5/2.
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The probability that a student chosen at random from a class has brown
hair is 7/13
The probability that they have ginger hair is 5/26
What is the probability that a student chosen from the class at random has
either brown hair or ginger hair?
Give your answer as a fraction in its simplest form.
Answers
Answer:
5/26+7/13
5/26+14/26
19/26
The probability that a student chosen from the class at random has either brown hair or ginger hair is 19/26.
Given that, the probability that a student chosen at random from a class has brown hair is 7/13 and the probability that they have ginger hair is 5/26.
Probability that student have either brown hair or ginger hair
= 7/13 + 5/26
= 14/26 + 5/26
= (14+5)/26
= 19/26
Therefore, the probability that a student chosen from the class at random has either brown hair or ginger hair is 19/26.
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This object is a portion of a line. It starts at
one point and ends at another point.
Answers
Answer:
D. Line Segment
Step-by-step explanation:
Using MATLAB or equivalent program, simulate the trajectories of particles undergoing a one-dimensional random walk based on the equation in class: Xi(n) = Xi(n−1)±δ where xi(n) represents the position of the ith particle after n steps, which has a 50% probability of moving forward by deltaδ and a 50% probability of moving backwards by deltaδ. Let δ = 12 and simulate M = 100 particles (all starting at x = 0), for 150 timesteps. Plot all 100 particle positions xi(n) from n = 1 to 151 timesteps. HINT: MATLAB function randi returns random integer values chosen uniformly from between a specified interval. Alternatively, PYTHON function random.randint(a,b) will return a random integer between a specified interval (requires importing the random module) HINT2: MATLAB programs run faster when vectorized. Note that Xi can be represented as a vector of (M x 1) particle positions, and that randi can output random integer values as a vector of (M x 1) forward or backward steps.
Answers
% Initialize variables
delta = 1/2;
M = 100;
N = 150;
% Create a vector of particle positions
x = zeros(M, N);
% Simulate the random walk
for n = 1:N
for i = 1:M
x(i, n) = x(i, n - 1) + randi([-1, 1], 1, 1) * delta;
end
end
% Plot the particle positions
figure
plot(x)
xlabel('Timestep')
ylabel('Position')
The first paragraph of the answer summarizes the code. The second paragraph explains the code in more detail.
In the first paragraph, the code first initializes the variables delta, M, and N. delta is the step size, M is the number of particles, and N is the number of timesteps. The code then creates a vector of particle positions, x, which is initialized to zero. The next part of the code simulates the random walk.
For each timestep, the code first generates a random number between -1 and 1. The random number is then used to update the position of each particle. The final part of the code plots the particle positions. The x-axis of the plot represents the timestep, and the y-axis represents the position.
The code can be modified to simulate different types of random walks. For example, the step size can be changed, or the probability of moving forward or backward can be changed. The code can also be used to simulate random walks in multiple dimensions.
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KL, LM, MN and KN are tangent to the circle. what is the perimeter of KLMN
Answers
Answer:
perimeter = 46
Step-by-step explanation:
Segments of tangents to a circle from the same external point are congruent.
KL = 3 + 4 = 7
LM = 4 + 10 = 14
MN = 10 + 6 = 16
NK = 6 + 3 = 9
Perimeter = 7 + 14 + 16 + 9 = 46
Peyton has a number cube and a
coin. What is the probabiltiy that he
will roll a prime number and flip tails?
(ANSWER IN PERCENT
Answers
Answer:
Hello Darling! Answer: 14%
Step-by-step explanation:
Now I'm not always accurate, I can re-check myself if you think it isn't right! c;
Write a function rule for the table.
f(x) = 4 – x
f(x) = –4x
f(x) = x + 4
f(x) = x – 4
Answers
Answer:
f(x) = x – 4
checking for all the functions by replacing x as 3
f(x) = 4 – x
f(3) = 4 - 3
f(3) = 1
does not match
f(x) = –4x
f(3) = -4(3)
f(3) = -12
does not match
f(x) = x + 4
f(3) = 3 + 4
f(3) = 7
does not match
f(x) = x – 4
f(3) = 3 - 4
f(3) = -1
matches
Answer:
f(x) = x - 4
Step-by-step explanation:
The options are:
f(x) = 4 – x
f(x) = –4x
f(x) = x + 4
f(x) = x – 4
For f(x) = 4 – x, when x=3, f(x)=1 so it cannot be right.
For f(x) = –4x, when x=3, f(x)=-12 so it cannot be right either.
f(x) = x + 4, when x=3, f(x)=7 so it cannot be right.
The only choice left which is also the right answer is f(x) = x – 4
PLZ PLZ I NEED THIS TODAY!!
A line passes through (4, 5) and (8, 9). Which equation best represents the line? (4 points)
A.y = x + 1
B.y = 1
C.y = 2x + 1
D.y = 5x + 8
Answers
Answer:
A
Step-by-step explanation:
y=x+1
=> put y=5
5=x+1
x=5-1
x= 4
(4,5)
same put y=9
so, x= 8
(8,9)
the residents of the state of texas pay an 8.25% sales tax on most purchases.which decimal represents the texas state sales tax?
A) 0.825
B)0.00825
C)0.0825
D)8.250
Answers
There are 86{,}40086,40086, comma, 400 frames of animation in 111 hour of anime. How many frames are there per second? There are 3600 seconds in one hour
Answers
Answer
24 frames per second
Step-by-step explanation:
Total frames=86,400
Total time=1 hour
Find frame per second
1 hour= 60 minutes*60 seconds
1 hour=3600 seconds
Frame per second=Total frames/Total number of seconds
=86,400/3600
=24 frames per second
Use the diagram to complete the statement.
BC =
Answers
The measurement of BC in the given figure is 4√2.
Given is figure we need to find the measurement of BC,
∠GBC = ∠CDF = 45° [alternate angles]
So, in triangle DCF,
Cos 45° = DF/DC
1/√2 = DF/12√2
DF = 12
Now we see that the triangles DCF and BCG are similar triangles by AA rule,
So, according to the definition of similar triangles,
DC/BC = DF/BG
12√2/BC = 12/(7-3)
12√2/BC = 12/4
12√2/BC = 3
3BC = 12√2
BC = 4√2
Alternatively, you can find the value of BC, using the trigonometric ratios in triangle GBC,
Cos 45° = GB/BC
GB = 7-3 = 4
Therefore,
Cos 45° = 4/BC
1/√2 = 4/BC
BC = 4√2
Hence the measurement of BC in the given figure is 4√2.
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Find hf if ge= 43 yd.
Answers
Step-by-step explanation:
Area of this kit = 1/2 (gf * hf)
258 yd^2 = 1/2 (43 * HF )
HF = 258 *2 / 43 = 12 yds
x^2 + 6x +15=0 solve the equation using the quadratic formula
Answers
Convert the mixed numbers to improper fractions.
Answers
Aim :
We have to convert them into improper fractions as they are into mixed fractions. So let's start..!!
Solution :
1) \( \bf{ 1\dfrac{5}{8} }\)
Multiply 8 into 1 and add 5 into it,
\(: \: \implies \: \sf{ \dfrac{8 \times 1 \: + \: 5}{8}} \\ \\ : \: \implies \: \sf{ \dfrac{8 \: + \: 5}{8}} \\ \\ : \: \implies \: \red{\sf{ \dfrac{13}{8}}}\)
_______________________________________
2) \( \bf{ 4\dfrac{2}{5} }\)
Multiply 4 into 5 and add 2 into it.
\(: \: \implies \: \sf{ \dfrac{4\times 5 \: + \: 2}{5}} \\ \\ : \: \implies \: \sf{ \dfrac{20 \: + \: 2}{5}} \\ \\ : \: \implies \: \red{\sf{ \dfrac{22}{5}}}\)
_______________________________________
3) \( \bf{ 2\dfrac{6}{8} }\)
Multiply 8 into 2 and add 6 into it after multiplying.
\(: \: \implies \: \sf{ \dfrac{2 \times 8 \: + \: 6}{8}} \\ \\ : \: \implies \: \sf{ \dfrac{16 \: + \: 6}{8}} \\ \\ : \: \implies \: \red{\sf{ \dfrac{22}{8}}}\)
A grocer can buy strawberries for $1.38 per pound. What is the constant of proportionality?
Answers
It means that the grocer has to pay $1.38 for each pound of strawberries. So the constant of proportionality for this scenario is $1.38
What is proportionality?Proportionality is a mathematical relationship between two variables, where the ratio of one variable to the other is always the same, regardless of the values of the variables. The variables are said to be in proportion if there is a constant of proportionality "k" such that one variable is equal to "k" times the other variable. In other words, if y is proportional to x, the relationship is represented by an equation of the form y = kx, where "k" is the constant of proportionality.
What is constant?A constant is a value that does not change. In mathematical terms, it refers to a value in an equation that remains the same and does not depend on the variables. For example, in the equation y = kx, "k" is a constant. It is a fixed numerical value that relates two variables in a proportionality relationship. Constants can be represented by a number, a letter or a symbol.
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The art club is designing a rectangular mural for the school hallway. Three corners are located in a coordinate plane at the following locations: (–1, –1), (–1, 1), and (4, 1).
What is the ordered pair for the fourth corner?
Answers
Answer:
That fourth ordered pair is (4, -1)
Step-by-step explanation:
A rectangle is a set of permutations of x and y
x can either be -1, or 4
y can either be -1, or 1
the only one missing from this set is (4, -1)
A penny is dropped from the top of a new building. Its height in feet can be modeled by the equation y = 256 - 16^{2} , where x is the time in seconds since the penny was dropped. How long does it take for the penny to reach the ground?
I would greatly appreciate help with this word problem, thanks!
≧◠ᴥ◠≦✊
Answers
Answer:
4 seconds
Step-by-step explanation:
Given equation:
\(y=256-16x^2\)
where:
y = The height of the penny (in feet).x = The time since the penny was dropped (in seconds).The penny reaches the ground when the height is zero, so when y = 0.
Substitute y = 0 into the given equation and solve for x:
\(\begin{aligned}y&=256-16x^2\\y=0 \implies 0&=256-16x^2\\0+16x^2&=256-16x^2+16x^2\\16x^2&=256\\\dfrac{16x^2}{16}&=\dfrac{256}{16}\\x^2&=16\\\sqrt{x^2}&=\sqrt{16}\\x&=\pm4\end{aligned}\)
As time is positive, x = 4 only.
Therefore, it takes 4 seconds for the penny to reach the ground.
pls help i need help on homework. and i dont understand:
6 = 7y - 8
please solve using inverse operations
I offer a crown and 20 points
Answers
Answer:
6=7y-8
6+8=7y-8+8(addition inverse operation)
14=7y
14/7=7y/7(division inverse operation)
2=y
Step-by-step explanation:
Answer:
y=2
Step-by-step explanation:
6=7y-8
(to get all the numbers on the right side and the letters on left side we can swap 6 with 7y)
-7y= -6-8
(since both were positive before we used the inverse method to turn both into a negative number)
-7y= -14
÷7 ÷7
(to get y on its own we divide both sides by 7)
y=2
Hope this helped you- have a good day bro cya)
If y varies directly as x and z, and Y=40 when x =5 andz = 4, find y when x=2 and z = 1
Pls answer it ASAP
Answers
Answer: When x=2 and z = 1, then the value of y =4.
Step-by-step explanation:
Given: y varies directly as x and z i.e. \(y\ \alpha \ xz\)
\(y=k(xz)\) (i) , where k is the proportionality constant.
Put Y=40 ,x =5 and z = 4, then we get
\(40=k(5\times4)\\\\\Rightarrow\ k=\dfrac{40}{20}\\\\\Rightarrow\ k=2\)
Required equation: \(y=2(xz)\) [Put value of k in (i)]
Now put x=2 and z = 1, then we get
\(y=2(2\times1)=2(2)=4\\\\\Rightarrow\ y=4\)
Hence, when x=2 and z = 1, then the value of y =4.
There is a leaky faucet in a bathroom, and Joey places a bucket underneath the faucet. After 2/3 of an hour, 1/8 cup of water has been collected in the bucket. At what rate, in cups per hour, is water leaking from the faucet?
A. 1/12
B. 3/16
C. 13/24
D. 19/24
—
please help-
Answers
Answer:c
Step-by-step explanation:
i think
Answer:
B
Step-by-step explanation:
You have to divide the fractions and make the answer a reciprocal.
Hope this helps!
please answer the question fast i need it
Answers
Answer:
\(\frac{6}{5}\)
Step-by-step explanation:
The similarity ratio is the ratio of corresponding sides, image to original
ratio = \(\frac{LK}{FG}\) = \(\frac{24}{20}\) = \(\frac{6}{5}\) ( = 1.2 )
A relaxed 3-coloring of a graph G assigns each vertex of G one of three colors (for example, red, green, and blue), such that at most one edge in G has both endpoints the same color.
Determine if the problem is :
A. Give an example of a graph that has a relaxed 3-coloring, but does not have a proper 3 - coloring (where every edge has endpoints of different colors).
B. Prove that it is NP-hard to determine whether a given graph has a relaxed 3-coloring
Answers
The problem described is option A: "Give an example of a graph that has a relaxed 3-coloring but does not have a proper 3-coloring (where every edge has endpoints of different colors)."
To illustrate this, consider a cycle graph with four vertices. Let's label the vertices as A, B, C, and D. We can assign the colors red, green, and blue to the vertices in the following way:
A -> red
B -> green
C -> red
D -> blue
This is a relaxed 3-coloring because no edge has both endpoints with the same color. However, it is not a proper 3-coloring because vertices A and C are both assigned the color red, and they are connected by an edge.
Regarding option B, proving that it is NP-hard to determine whether a given graph has a relaxed 3-coloring would require a more in-depth analysis and proof based on complexity theory and reduction from known NP-hard problems.
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Salmonella bacteria grow rapidly at room temperature. After a contaminated chicken is cut up, a population of bacteria are left on a cutting board ending up in a salad. Suppose that the number present in the salad after t hours is given by S(t)= 250 x 6t How often do the bacteria double? State the answer in hours using four significant figures.
Answers
As per the temperature, the population of Salmonella bacteria in the salad will double approximately every 2.87 hours if the conditions for growth remain constant.
The population of Salmonella bacteria can increase over time if they have the necessary nutrients and temperature for growth. In this case, we have a cutting board contaminated with Salmonella bacteria, which ends up in a salad. The number of bacteria present in the salad after t hours is given by the formula S(t) = 250 x 6t, where t is the time in hours.
To understand how often the population of bacteria doubles, we need to look at the growth rate of the bacteria.
To calculate the doubling time, we can use the formula Td = ln(2) / r, where Td is the doubling time, ln is the natural logarithm, and r is the exponential growth rate. In this case, the growth rate can be found by taking the derivative of S(t) with respect to t, which gives us r = 6ln(6).
Plugging in the values, we get Td = ln(2) / 6ln(6) = 2.87 hours
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A small class has 10 students, 5 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the
probability that the first student chosen will be a girl and the second will be a boy? Write your answer as a fraction in simplest form?
Answers
Answer:
the chances are most likely going to be 50/50
Step-by-step explanation:
50
50
Answer: 1/5
Step-by-step explanation: