A train is traveling at a constant speed and goes 6.5 kilometers in 7 minutes. How far does the train go in 50 minutes?
Answers
Related Questions
which property of exponents must you apply to the express p 1/2 to derive p as the result
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The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.
The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.
For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.
Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
So we have derived p as the result using the Power of a Power Property.
In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.
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Given a mean of 34 and a standard deviation of 5. Find the following z-scores.
Answers
The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.
To find the z-scores, we need to use the formula:
z = (x - μ) / σ
where:
z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.
Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:
z = (39 - 34) / 5
z = 5 / 5
z = 1
So, the z-score for the raw score of 39 is 1.For a raw score of 30:
z = (30 - 34) / 5
z = -4 / 5
z = -0.8
The z-score for the raw score of 30 is -0.8.
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A survey asked 50 students if they play an instrument and if they are in band.
1.25 students play an instrument.
2. 20 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency?
Answers
C, just look at the "Total" for each single information.
the values in the inner grid combine multiple informations.
The table shows these data correctly entered in a two-way frequency is table C.
What is Two way Frequency?Two-way frequency tables show the potential connections between two sets of categorical data visually. The table's four (or more) inside cells contain the frequency (count) data, which is displayed above and to the left of the table's designated categories.
We have been the information 25 students play an instrument 20 are in a band 30 are not in a band.
So, the two way table is:
Band Not in Band Total
Play instrument 20 5 25
Do not play instrument 0 25 25
Total 20 30 50
So, Table C is Correct.
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1. In a science lab, you collect the following sets of data. Which of the
four data sets are linear functions? If linear, determine the slope.
Answers
Answer:
data set: a ; slope: 1/2
Step-by-step explanation:
If an equation is linear, then the first common differences are all the same.
In table a:
17-12 = 5
22-17 = 5
27-22 = 5
etc.
Equation:
m represents slope
y = mx + b
y = mx + 12 (y-intercept is 12)
17 = 10m + 12
10m = 17-12
10m = 5
m = 10/5 = 1/2
IS THIS RIGHT? (28 points easy!!)
Answers
Step-by-step explanation:
yes, the step is correct.
a² = cx | multiply by c
ca² = c²x
I am just not sure how that simplified the equation.
what do you want to achieve ? what's the goal here ?
to solve the equation for x it would be to divide both sides by c, which gives
a²/c = x
Of(x) = x² - 6x-1-
Mark thic and return
24
-10-8-8-22-
-8
-8
-10
2
B
8 10 x
What is the axis of symmetry
Answers
The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.
How to determine the axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry, Xmin = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
By substituting the parameters, we have the following:
Axis of symmetry, Xmin = -b/2a
Axis of symmetry, Xmin = -(-6)/2(1)
Axis of symmetry, Xmin = 6/2
Axis of symmetry, Xmin = 3.
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factorise 18x-6
will give brainly to whoever answers first
Answers
Answer:
6(3x-1)
Step-by-step explanation:
They both have a common factor of 6
So divide 6 and take it out to give:
6(3x-1)
Given f(x) = 1/2 (3 - x) ^ 2, what is the value of f(15)?
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If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.
The given function is:
f(x) = 1/2 (3 - x)²
To find the value of f(15), we need to substitute 15 for x in the function:
f(15) = 1/2 (3 - 15)²
Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:
f(15) = 1/2 (144)
f(15) = 72
Therefore, the value of f(15) is 72.
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The solution to a system of equations is (6,3) choose 2 equations that might make up the system
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3)Find the square of the following by using formula: i) (6x-3y) ii) (a-1/a)
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Step-by-step explanation:
hopefully it makes sense
:)
Solve the following inequality:
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Answer:
\(r \geqslant - 16\)
Step-by-step explanation:
\( \frac{ - 10 + r}{2} \geqslant - 13\)
multiply both sides by 2:
\( - 10 + r \geqslant - 26\)
add 10 on both sides:
\(r \geqslant - 16\)
Answer:
\(r \ge -16\)
Step-by-step explanation:
To solve any equation/inequality:
1. get the variable to show up exactly once
2. isolate it
\(\frac{-10+r}{2} \ge -13\)
Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)
\(\frac{-10+r}{2} *2 \ge -13 *2\)
\(-10+r \ge -26\)
Add 10 to both sides, and simplify
\((-10+r)+10 \ge (-26)+10\)
\(r \ge -16\)
The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answers
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
Answers
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help
Answers
Answer: -27
Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
We can start by looking at the differences between consecutive terms in the list:
9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12
Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:
-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21
Therefore, we predict that the most probable next number in the list is -27.
Identify the terms and like terms in the question 3n+7-n-3
Answers
Answer:
like terms: (3n,-n),(7,-3)
Step-by-step explanation:
Answer:=2n+2
Step-by-step explanation:
3n+7-n-3=2n+2
the opposite sides of a parallelogram are ? congruent
A: always
b: sometimes
c: never
Answers
A: always
Suppose we want to choose 5 letters, without replacement, from 15 distinct letters
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\(\text{order does not matter}\)
\(\text{sample space}= \text{15 letters}\)
\(\text{no repetition}\)
\(\text{P(A)}= \text{15C5}= \text{3003 ways}\)
What percent of 125 is 375?
A) 33.33%
B) 250%
C) 300%
D) 468.75%
Show work
Answers
Answer:
To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.
375 / 125 = 3
So 375 is 3 times 125. Multiplying 3 by 100, we get:
3 * 100 = 300%
So the correct answer is C) 300%.
Succes!
Answer:
C) 300%
Step-by-step explanation:
Percent of 125 means the value of x/125.
Where x is the value 375.
375/125 = 3
3 * 1 =
3 * 100% = 300%
It can be mistaken as 33.33% since 125 is 33.33% of 375.
^^ This question is asking 125 is what percent of 375.
But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.
A square has a perimeter of 24 m and an area of 36m ^ 2 The square is dilated by a scale factor of 3. Find the perimeter and area of the dilated figure.
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A square has a perimeter of 24 m and an area of 36m ^ 2 The square is dilated by a scale factor of 3.The perimeter of the dilated figure is 72 m, and the area is \(324 m^2\).
Let's begin by finding the side length of the original square. Since the perimeter of the square is given as 24 m, we can divide it by 4 (as a square has four equal sides) to find the length of each side. Therefore, the original square has a side length of 6 m.
To find the perimeter of the dilated figure, we need to multiply the side length of the original square by the scale factor of 3. So, the new side length of the dilated figure is 6 m * 3 = 18 m. Since the dilated figure is also a square, all its sides are equal. Therefore, the perimeter of the dilated figure is 18 m + 18 m + 18 m + 18 m = 72 m.
To find the area of the dilated figure, we need to square the new side length of 18 m: \(18 m * 18 m = 324 m^2\). Hence, the area of the dilated figure is \(324 m^2.\)
The perimeter of the dilated figure is 72 m, and the area is \(324 m^2\).
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11. Which of the following equations has NO
solution?
A a + 2 = a + 2
B a= -a + 2
C a + 2 = a - 2
D a + a = 2
Answers
Find the x-intercept and y-intercept of the line . 7/3x - 1/3y = 1
Answers
Answer:
Step-by-step explanation:
The general equation of a line is y = mx+b
Rewrite the given equation (7/3)x -(1/3)y = 1 in the form of the general equation y=mx+b, where b is the y-intercept.
(7/3)x -(1/3)y = 1
-(1/3)y = -(7/3)x +1 , subtract (7/3)x from both sides
(1/3)y = (7/3)x -1 , multiplyed both sides by (-1)
y= 3(7/3)x -3, multiply both sides by 3
y= 7x -3, so
y-intercept is -3 or you can say that the y-intercept is at point (0, -3)
The x -intercept is at point (something, 0) so our y coordinate is 0 there
y= 7x -3, yet y=0 we said so substitute y with 0 in the equation and find x
0=7x-3 , add 3 to both sides
3= 7x, divide both sides by 7
3/7 = x
x-intercept is 3/7 or you can say that the x-intercept is at point (3/7, 0)
5V
Find the inverse of f(x) =
Graph both fand f-1
on the same set o
Find the inverse function.
F1(x) = for
(Type a compound inequality.)
Answers
Answer:
??
Step-by-step explanation:
Section 1- Question 8
Mr. Johnson instructed his students to use the Pythagorean Theorem to draw a line that is precisely V√13 units long from the star to another grid point. The dots are one unit apart.
Using right triangles to determine the distance, how many different lines could Mr. Johnson's students create without going off the paper?
C2022
A
B
3
4
Answers
Answer:I have the same question I need help noww!!!
Step-by-step explanation:
Answer:
Step-by-step explanation:
so she started off to tell msjhonson she have nun due to Mr. Johnson instructed his students to use the Pythagorean Theorem to draw a line that is precisely V√13 units long from the star to another grid point. The
The amount W of water used varies directly with the population N of people. City A has a population of 480,000 people and used 33.9 billion gallons of water in a fiscal year. Find out how many billion gallons of water we would expect City B to use if we know that its population is 180,000
.
Answers
Answer: 120,000 gallons per day, Im notthe smartest, but I'm pretty sure its right
Step-by-step explanation:
hich linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)
Answers
The function with the steepest slope is \(y = 7x - 3\).
The correct answer is C.
The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.
Let's compare the coefficients of x in each of the given functions:
\(y = -8x + 5\)
Slope: -8
\(y - 9 = -2(x + 1)\)
Simplifying, we get \(y - 9 = -2x - 2\)
Rearranging, we have \(y = -2x + 7\)
Slope: -2
\(y = 7x - 3\)
Slope: 7
\(y + 2 = 6(x + 10)\)
Simplifying, we get \(y + 2 = 6x + 60\)
Rearranging, we have \(y = 6x + 58\)
Slope: 6
Therefore, the steepest slope is the \(y = 7x - 3\).
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Function c
is defined by the equation c(n)=50+4n
. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n
.
True or False? The inverse function is as follows:
n=(c(n) − 50)×4
Responses
Answers
Answer:
False
Step-by-step explanation:
1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4
Rita is driving to San Francisco. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of −0.75. See the figure below. Rita has 45 miles remaining after 36 minutes of driving. How many miles will be remaining after 48 minutes of driving?
Answers
GIVEN:
We are given a graph that shows the relationship between the driving time and the remaining distance after driving a given number of minutes. The slope of the line represnting this relationship is given as -0.75.
Also, after driving for 36 minutes, Rita has 45 miles remaining.
Required;
To determine how many miles will be remaining after 48 minutes of driving.
Step-by-step solution;
What we have is a linear relationship such that as one variable increases, the other decreases. We know this because the slope of the line is a negative one, moving downwards from left to right.
The slope-intercept form of an equation is given as follows;
\(y=mx+b\)The variables x and y can be determined from the graph as;
\((x,y)=(36,45)\)The slope m, is given as;
\(m=-0.75\)Now we can substitute these into the equation in slope-intercept form;
\(\begin{gathered} y=mx+b \\ \\ 45=-0.75(36)+b \\ \\ 45=-27+b \\ \\ Add\text{ }27\text{ }to\text{ }both\text{ }sides: \\ \\ 72=b \end{gathered}\)Now we can derive an equation for the relationship between time driven and miles remaining;
We substitute the values of m and b into the equation quoted earlier;
\(\begin{gathered} y=mx+b \\ \\ \rightarrow y=-0.75x+72 \end{gathered}\)Next, we want to determine how many miles will be remaining after 48 minutes of driving. In other words, we have the value of x, and we want to determine the corresponding value of y.
We now have,
\(\begin{gathered} y=-0.75x+72 \\ \\ y=-0.75(48)+72 \\ \\ y=-36+72 \\ \\ y=36 \end{gathered}\)ANSWER:
After 48 minutes of driving, there will be 36 miles remaining.
Find the rule, and type the missing number in the sequence.
96, 192, ____, 384
Answers
Answer:
Missing number is 288, and the rule is +96
Step-by-step explanation:
First subtract 96 from 192, which is 96
then add that to 192 and the missing value is 288
you should also add 96 to 288 just to make sure it gets you to the last number which is 384.
Which sentence describes a way to determine the missing number number in the pattern?
Answers
Answer:
70910 not sure
Step-by-step explanation:
70.91 x 10 = 709.1 70.91 x 100 = 7,091 70.91 x 1,000 =
A recipe for 1 batch of muffins calls for 3/4 cups of almond milk. Rose has 6 cups of almond milk. How many batches of muffins could she make
Answers
Answer:
8
Step-by-step explanation:
3/4 cup leaves 1/4 cup from each cup
1/4+1/4+1/4=3/4
so it would be 3/4+3/4+3/4+3/4+3/4+3/4+3/4+3/4=8 cups