Distance traveled
It is a total length of space between two positions. The distance travelled is the path taken by a body to get from an initial point to an end point in a given period of time, at a certain velocity.
Hope it helps you! ＼(^ᴥ^)／
Find the equation of the line containing the points (5/7,4) and (-5/7,3)
Answer:
y=[tex]\frac{7}{10}x+\frac{7}{2}[/tex]
Step-by-step explanation:
Hi there!
We want to find the equation of the line containing the points (5/7,4) and (-5/7, 3)
The most common way to write an equation of the line is slope-intercept form, which is given as y=mx+b where m is the slope and b is the y intercept
So first, let's find the slope of the line
The formula for the slope calculated from two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where ([tex]x_1[/tex],[tex]y_1[/tex]) and ([tex]x_2[/tex],[tex]y_2[/tex]) are points
We have everything needed to find the slope, but let's label the values of the points to avoid any confusion
[tex]x_1[/tex]=5/7
[tex]y_1[/tex]=4
[tex]x_2[/tex]=-5/7
[tex]y_2[/tex]=3
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{3-4}{\frac{-5}{7}-\frac{5}{7}}[/tex]
Subtract and simplify
m=[tex]\frac{-1}{\frac{-10}{7}}[/tex]
m=-1*[tex]\frac{7}{-10}[/tex]
m=[tex]\frac{-7}{-10}[/tex]
m=[tex]\frac{7}{10}[/tex]
So the slope of the line is [tex]\frac{7}{10}[/tex]
Here is the equation of the line so far:
y=[tex]\frac{7}{10}x[/tex]+b
We need to find b
As the equation of the line passes through both (5/7, 4) and (-5/7, 3), we can use either one of them to solve for b
Let's take (5/7, 4) for this case
Substitute x as 5/7 and y as 4
4=[tex]\frac{7}{10}[/tex]*[tex]\frac{5}{7}[/tex]+b
Multiply and simplify the fractions
4=[tex]\frac{1}{2}[/tex]+b
subtract 1/2 from both sides
[tex]\frac{7}{2}[/tex]=b
So the equation of the line is y=[tex]\frac{7}{10}x[/tex]+[tex]\frac{7}{2}[/tex]
Hope this helps!
simplify 2√3 x 3√8
i’ll give u brainiest pls
Answer:
[tex]12 \sqrt{6} [/tex]
Step-by-step explanation:
[tex]2 \sqrt{3} \times 3 \sqrt{8} \\ (2 \times 3) \sqrt{(3 \times 8)} \\ 6 \sqrt{24} \\( 6 \times 2) \sqrt{6 } \\ 12 \sqrt{6} [/tex]
What is the value of x in the equation 8x-2y=48, when y =4
Answer:
x = 5
I hope it's helps you
Answer:
x=5 this might be helpful to you.
The volume of a boys' basketball is 434 cubic inches. Dan would like to get a ball
with half the volume for his son. What is be the diameter of the ball that Dan will buy
for his son?
A 9.4 inches
B 4.7 inches
C 3.7 inches
D 7.4 inches
Answer:
The correct answer is A. 9.4 inches.
Step-by-step explanation:
Given that the volume of a boys' basketball is 434 cubic inches, and Dan would like to get a ball with half the volume for his son, to determine what is the diameter of the ball that Dan will buy for his son, the following calculation has to be done, knowing that the volume of a sphere is four thirds multiplied by pi multiplied by the radius cubed:
4/3 x 3.14 x X ^ 3 = 434
4.186 x X ^ 3 = 434
X ^ 3 = 434 / 4.186
X = 3√ 103.662
X = 4.7
In turn, since the radius of a sphere is equal to half its diameter, the diameter of the basketball is 9.4 inches (4.7 x 2).
The triangles shown below must be congruent.
A. True
B. False
Answer:
Step-by-step explanation:
True. They are both 30-60-90 triangles, and the side opposite the 60° angle is 5 in both. The side opposite the 30° angle is 5/√3 and the side opposite the 90° angle is 10/√3.
Find the x- and y-intercepts of the following line: 4x − 3y = 12
Answer:
x-intercept: (3,0)
y-intercept: (0,-4)
Step-by-step explanation:
To find the x and y-intercepts, we first need to understand what they are. X and y-intercepts are points on the line that passes through the x-axis and y-axis. When a point is an x-intercept, it passes through the x-axis. This means the x-coordinate is an integer, while the y-coordinate is always 0. This can be denoted by (x,0). When a point is a y-intercept, it passes through the y-axis. This means the y-coordinate is an integer, while the x-coordinate is always 0. This can be denoted by (0,y).
Now that we know what x and y-intercepts are, we can plug in x=0 and y=0 to find the intercepts.
x-intercept
4x-3y=12 [plug in y=0]
4x-3(0)=12 [multiply]
4x-0=12 [add both sides by 0]
4x=12 [divide both sides by 4]
x=3
---------------------------------------------------------------------------------------------------------
y-intercept
4x-3y=12 [plug in x=0]
4(0)-3y=12 [multiply]
0-3y=12 [subtract both sides by 0]
-3y=12 [divide both sides by -3]
y=-4
Therefore, the x-intercept is (3,0) and y-intercept is (0,-4).
Need help due tomorrow
find the surface area of a solid cylinder with radius 2m and length 6m ( famula)π=3.14
Answer:
100.544m
Step-by-step explanation:
Surface area of a cylinder = 2pie x rh + 2pie x r² where pie = 3.142
Therefore, (2x3.142x2x6) + (2x3.142x2²) =100.544m
In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?
1:3
3:1
1:4
3:4
=============================================================
Explanation:
Consider a very small town of only 4 people.
If 1 person bikes to work, then 1/4 = 0.25 = 25% of the population commutes by bicycle. We see that the remaining 4-1 = 3 people don't travel by bike.
The odds against selecting someone who uses their bike to get to work is 3:1 which is why the answer is choice B
We list the number of people we don't want first, and then the number of people we do want (those who use a bike). A colon separates the two values to form the odds ratio.
We can say "3:1" as "3 to 1". It means we're 3 times more likely to select someone we don't want vs someone we do want. The odds are against the bike person which is why the value we don't want is listed first.
In contrast, if your teacher asked "what are the odds in favor of selecting someone who commutes by bicycle?" then the answer would be 1:3. We simply swap the positions of what we set up earlier.
Work out 45% of $200.00
Answer:
If you are using a calculator, simply enter 45÷100×200 which will give you 90 as the answer.
Mark me brainliest plz.
Economists have found that the amount of corruption in a country's government is correlated to the gross domestic product (GDP) per capita of that country. This can be modeled by y=507x−8030 where x is the corruption score and y is GDP per capita in dollars. Corruption scores range from 0 to 100 with 0 being highly corrupt and 100 being least corrupt.
Using this model, a country with a corruption score of 99 would have what GDP per capita? Round your answer to the nearest dollar.
A. $46,853
B. $36,444
C. $42,163
D. $50,546
Answer:
B i think
Step-by-step explanation:
What is the slope of the line on the graph?
What is 4 log Subscript one-half Baseline w + (2 log Subscript one-half Baseline u minus 3 log Subscript one-half Baseline v) written as a single logarithm?
4 log Subscript one-half Baseline 2 Superscript 4 Baseline u squared minus v cubed
log Subscript one-half Baseline w Superscript 4 Baseline (StartFraction u squared Over v cubed EndFraction)
log Subscript one-half Baseline (StartFraction w Superscript 4 Baseline Over u squared v cubed EndFraction)
log Subscript one-half Baseline (w (StartFraction u squared Over v cubed EndFraction)) Superscript 4
Given:
The expression is:
[tex]4\log_{\frac{1}{2}}w+(2\log_{\frac{1}{2}}u-3\log_{\frac{1}{2}}v)[/tex]
To find:
The single logarithm for the given expression.
Solution:
We have,
[tex]4\log_{\frac{1}{2}}w+(2\log_{\frac{1}{2}}u-3\log_{\frac{1}{2}}v)[/tex]
It can be written as:
[tex]=\log_{\frac{1}{2}}w^4+(\log_{\frac{1}{2}}u^2-\log_{\frac{1}{2}}v^3)[/tex] [tex][\because \log a^b=b\log a][/tex]
[tex]=\log_{\frac{1}{2}}w^4+\log_{\frac{1}{2}}\dfrac{u^2}{v^3}[/tex] [tex][\because \log \dfrac{a}{b}=\log a-\log b][/tex]
[tex]=\log_{\frac{1}{2}}\left(w^4\times \dfrac{u^2}{v^3}\right)[/tex] [tex][\because \log ab=\log a+\log b][/tex]
[tex]=\log_{\frac{1}{2}}\dfrac{w^4u^2}{v^3}[/tex]
Therefore, the correct option is B.
Answer:
The answer is B :))
Step-by-step explanation:
simplify
log(125) + log(625) / log(25) - log(5)
Answer:
3.39794000867
Step-by-step explanation:
first add log 125 and 625 and divide the answer by log 25 and minus the answer by 5
Answer:
The answer is 7.
6. The expected value of a discrete random variable x: a.is the value it is expected to assume in the next trial. b.is the most likely or highest probability value for the random variable. c.is the average value for the random variable over many repeats of the experiment. d.will always be one of the values x can take on, although it may not be the highest probability value for the random variable.
Answer:
c.is the average value for the random variable over many repeats of the experiment.
Step-by-step explanation:
Expected value of a discrete random variable:
To find the expected value of a discrete random variable, we multiply each outcome of the variable by it's probability, which over many repeats of the experiment, will give the average value, and thus, the correct answer is given by option c.
Even though a discrete random variable takes only discrete values, the mean can be a continuous(decimal) value.
how old is sherif now ? ahmed is eight years younger than sherif in seven years, the sum of their ages will be 7/10 th of 100
Answer:
32year
Step-by-step explanation:
let Ahmed be x years then sheriff will be x+8
in 7years time
sheriff will be x+8+7=x+15
Then Ahmed will be x+7
sum of their ages will be 7\10×100=70years
x+15+x+7=70
collect like terms
2x+22=70
2x=70-22
2x/2=48/2
x=24years
Sheriff=24+8
32years
10^2x+3=5
Solve, expressing your answer in an exact form involving a common logarithm and showing your steps.
Help please
At the city museum, child admission is S5.80 and adult admission is $9.20. On Monday, twice as many adult tickets as child tickets
were sold, for a total sales of $895.40. How many child tickets were sold that day?
[tex]You can call c the number of children and a for adults; you get:5.20c+8.50a=1097.60anda=4c meaning that the number of adults was four times the children.Substituting this value of a into the first equation we get:5.2c+8.5(4c)=1097.65.2c+34c=1097.6rearranging:c=1097.639.2=28and so:a=4c=4⋅28=112[/tex]
I got: 28 children and 112 adults.
(2/5-1/2)+3/5 . [7/2-3/5÷(1/4-1/5)]
Answer: -8
Step-by-step explanation: So we after simplification we get
[(2/5) - (1/2) + (3/5)+ (7/2)] - [(3/5)/(1/4) - (1/5)]
After this I suppose it's just addition & subtraction, and can be easily done to get -8.
I need help ASAP!!!!
Suppose 5 men and 7 women are on a crowded elevator. At the next floor, four people get off the elevator. Find the probability that three are women.
0.010
0.354
0.424
0.25
Answer:
B. 0.354Step-by-step explanation:
Combination of 4 out of 5 + 7 = 12 is:
12C4 = 12!/8!4! = 495Combination of 1 man and 3 women is:
5C1*7C3 = 5*7!/4!3! = 5*35 = 175Required probability:
P(3W) = 175/495 ≈ 0.353Correct choice is B
Please help me answer this question if you have time
Answer:
C: [tex]\frac{7x}{4} + 5y[/tex]
Step-by-step explanation:
1. Realize that 12 inches is 1 feet and 36 inches is 1 yard.
2. Multiply it so that both are inches.
[tex]\frac{5y}{12} * 12 = 5y[/tex]
[tex]\frac{7x}{144} * 36 = \frac{7x}{4}[/tex]
3. Add together [tex]\frac{7x}{4} + 5y[/tex]
Answer:
C.
Step-by-step explanation:
I also recommend to just search these things on the internet. it would be much faster.
1 ft = 12 in
1 yd = 3 ft = 3×12 = 36 in
so, we need to multiply a given number of ft by 12, and a given number of yards by 36 to get the inches.
5y/12 × 12 = 5y
7x/144 × 36 = 7x/4
that is all there is to it.
find the missing length indicated.
Answer:12
Step-by-step explanation:
Square root of 16x9=12
Answer:
Step-by-step explanation:
When the height of the rightangle is drawn to the hypotenuse, the hypotenuse is divided into two parts that when multiiplied = the square of the height.
x^2 (the height) = 16 * 9
x^2 = 144 Take the square root of both sides
sqrt(x^2) = sqrt(144)
x = 12
If the surface area of an orange is 616 cm2 what is its radius?
9514 1404 393
Answer:
7.0 cm
Step-by-step explanation:
The relationship between radius and area of a sphere is ...
A = 4πr²
Then the radius as a function of area is ...
r = √(A/(4π)) = (√(A/π))/2
For an area of 616 cm², the corresponding radius is ...
r = (√(616/π))/2 ≈ 7.0 cm . . . . radius of the orange
Hope you could understand.
If you have any query, feel free to ask.
Subtract the following polynomials.
(3.1x+2.8z)−(4.3x−1.2z)
Answer:
-2/5 (3x-10z)
Step-by-step explanation:
ALEKS MAKES ME WANNA DIE
Answer:
Initial value is $295,300
Function represents decay
House value decreases by 13% each year
hope that helps...btw are u ok? like u good right?
The measurement of the radius of the end of a log is found to be 9 inches, with a possible error of 1/2 inch. Use differentials to approximate the possible propagated error in computing the area of the end of the log.
Answer:
[tex]\pm 9in^2[/tex]
Step-by-step explanation:
We are given that
Radius of end of a log, r= 9 in
Error, [tex]\Delta r=\pm 1/2[/tex]in
We have to find the error in computing the area of the end of the log by using differential.
Area of end of the log, A=[tex]pi r^2[/tex]
[tex]\frac{dA}{dr}=2\pi r[/tex]
[tex]\frac{dA}{dr}=2\pi (9)=18\pi in^2[/tex]
Now,
Approximate error in area
[tex]dA=\frac{dA}{dr}(\Delta r)[/tex]
Using the values
[tex]dA=18\pi (\pm 1/2)[/tex]
[tex]\Delta A\approx dA=\pm 9in^2[/tex]
Hence, the possible propagated error in computing the area of the end of the log[tex]=\pm 9in^2[/tex]
Answer:
[tex]A = (254.34 \pm 28.26) in^2[/tex]
Step-by-step explanation:
radius, r = 9 inches
error = 0.5 inch
The area of the end is
A = 3.14 x r x r = 3.14 x 9 x 9 = 254.34 in^2
[tex]A = \pi r^2\\\\\frac{dA}{dr}=2\pi r\\dA = 2 pi r dr \\\\dA = 2 \times 3.14\times 9\times 0.5 = 28.26[/tex]
So, the area is given by
[tex]A = (254.34 \pm 28.26) in^2[/tex]
What is the best interpretation of the y-intercept of the line
Answer:
vertical line
Step-by-step explanation:
because horizontal means horizon which goes left to right across a board
Hi there!
The y-intercept of a line represents its initial value. On a graph, the y-intercept would represent the value of y when the line crosses the y-axis.
For example, if an equation were to model the amount of money someone had in their bank account overtime starting from the day they opened their account, the y-intercept would represent the original amount of money they had.
I hope this helps!
Which diagram best shows how fraction bars can be used to evaluate One-half divided by one-fourth? A fraction bar labeled 1. Under the 1 are 2 boxes containing one-half. Under the 2 boxes are 4 boxes containing one-fourth. 2 one-fourths are circled. A fraction bar labeled one-fourth. Under the one-fourth are 2 boxes containing one-half. Under the 2 boxes are 4 boxes containing 1. 2 boxes containing 1 are circled. A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 8 boxes containing one-half. One box containing one-half is circled. A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 2 boxes containing one-half. One box containing one-half is circled.
Answer:
Step-by-step explanation:
The description is too ambiguous to reconstruct the diagram. You need to post the actual diagram.
That diagram is just one way to view division by a fraction. An easier way: DIVIDING by a fraction is the same as MULTIPLYING by the upside-down fraction. For example,
(1/2) ÷ (1/4) = (1/2) × (4/1) = 2
That doesn’t help you answer this particular question, though.
Answer:
C
Step-by-step explanation:
Which equation models the same quadratic relationship as function f? f(x) = 2x^2 - 12x + 11
A) y = 2(x + 6)^2 + 2
B) y = 2(x - 3)^2 -7
C) y = 2(x - 6)^2 + 5
D) y = 2(x + 3)^2 - 7
Answer:
im not sure but i think the answer is C) y = 2(x - 6)^2 + 5
The equation models the same quadratic relationship as function f(x) = 2x^2 - 12x + 11 will be 2(x-3)²-7.Option B is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the function is,
f(x) = 2x^2 - 12x + 11
We have to find the equation models the same quadratic relationship as the given function,
⇒2x²-12x+11
Take common 2 in the complete equation,
⇒2(x²-6x+11/2)
Add and subtract 9 from the complete equation,
⇒2(x²-6x+9-9+11/2)
Rearrange the equation as,
⇒2[(x-3)²-(7/2)]
⇒2(x-3)²-7
Thus, the equation models the same quadratic relationship as function f(x) = 2x^2 - 12x + 11 will be 2(x-3)²-7.Option B is correct.
Learn more about the equation here,
https://brainly.com/question/10413253
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