Almost any kind of quantitative data can be represented by a graph and some of these graphs represent functions. This is why functions and graphs are the objects analyzed by calculus. The next two problems illustrate data which can be represented by a graph. Match the following descriptions with their graphs below:
Answers
Using the relation between velocity, distance and time, the items and graphs are matched as follows:
1. D.
2. B.
3. A.
4. C.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
Hence the distance is given by:
d = vt.
Along a city street, we have that:
The velocity would have a few peaks and few moments where it diminishes, due to breaking moments, hence item 4 matches with graph c.The distance would have a few slow increases and a few moments where it remains almost constant, hence item 1 matches with graph 4.We can verify this that when graph C(velocity) is zero, graph D(position) is constant.
Along a superhighway we have that:
The velocity would increase until the maximum velocity then remain constant there, hence item 3 matches with graph a.The distance would have an almost constant increase, hence item 2 matches with graph b.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
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Related Questions
An isosceles right triangle has a hypotenuse that measures 32 inches. To the nearest inch,
what is the measure of each leg of the triangle?
Answers
Answer:
28 inch or 27.7 inch
other side is 16 inch
Step-by-step explanation:
We double the triangle and find each hypotenuse for two triangles to determine base as equilateral
32^2 = base
To find height we half base and multiply by slant = 32 inches
32/2 = 16 inch
Height = 32^2 - 16^2 = a^2 = sq rt 1024 - sqrt 256 = sq rt 768
a^2 = sq rt 768 = 27.7128129 = 28 inch or 27.7 inch
I need help asap, giving 30 points and brainiest!
Answers
The sum of angles of a linear pair is always equal to 180°.
7x + 12 + 8x + 3 = 180
Simplify
15x + 15 = 180
-15
15x = 165
/15
x = 11
Answer = x = 11
Have a good day ^^
Answer:
\(x=11\)
Step-by-step explanation:
It is a linear pair
\(7x + 12 + 8x + 3 = 180\)
\(15x + 15 = 180-15\\15x = 165\)
\(x=11\)
Last year Bobs market ordered 5 2/3 cups of strawberries for an event. This year they plan to order 6 1/2 times as many strawberries as they did last year as well as 1/6 of a cup of blueberries. Then they are going to mix the berries together and sell them in 6 ounce bags. How many complete bags can they sell if they use all the berries?
Answers
Since we cannot have a fraction of a bag, Bob's market can sell a total of 41 complete bags of mixed berries.
How to find How many complete bags can they sell if they use all the berriesLast year, Bob's market ordered 5 2/3 cups of strawberries. This year, they plan to order 6 1/2 times as many strawberries as last year.
Therefore, the quantity of strawberries this year is:
Strawberries = 5 2/3 cups * 6 1/2 = (17/3) cups * (13/2) = (221/6) cups.
They also plan to order 1/6 of a cup of blueberries.
Total berries = Strawberries + Blueberries = (221/6) cups + (1/6) cups = (222/6) cups.
Since they want to sell the berries in 6-ounce bags, we need to convert the cup measurement to ounces.
1 cup = 8 ounces.
Total berries = (222/6) cups * 8 ounces/cup = (1488/6) ounces = 248 ounces.
Now, we can find the number of complete 6-ounce bags they can sell:
Number of bags = Total ounces / 6 ounces = 248 ounces / 6 ounces = 41.3333.
Since we cannot have a fraction of a bag, Bob's market can sell a total of 41 complete bags of mixed berries.
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please help me please i really need help please
Answers
9514 1404 393
Answer:
62°
Step-by-step explanation:
Angles A and H are alternate exterior angles, so are congruent.
∠H = 62°
cindy throws one red and one blue dice. find the probability that the sum of the two dice is less than 4.
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The probability that the sum of the two dice is less than 4 is 3/36, which simplifies to 1/12.
What is dice probability?Dice probability refers to the likelihood of a certain outcome when rolling one or more dice. The probability of rolling a particular number on a fair six-sided die, for example, is 1 in 6 or approximately 16.67%. The probability of rolling any number from 1 to 6 on a single die is always the same since each face has an equal chance of landing face up.
Given by the question.
To finds the probability that the sum of the two dice is less than 4, we need to list all the possible outcomes when Cindy throws one red and one blue dice, and then count the number of outcomes that satisfy the condition.
Possible outcomes when throwing two dice:
Red Blue
1 1
1 2
1 3
1 4
1 5
1 6
2 1
2 2
2 3
2 4
2 5
2 6
3 1
3 2
3 3
3 4
3 5
3 6
4 1
4 2
4 3
4 4
4 5
4 6
5 1
5 2
5 3
5 4
5 5
5 6
6 1
6 2
6 3
6 4
6 5
6 6
There are 36 possible outcomes when throwing two dice.
Outcomes where the sum of the two dice is less than 4:
Red Blue
1 1
1 2
2 1
There are 3 outcomes where the sum of the two dice is less than 4.
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find the surface area of a rectangular prism measuring 7yd and 3yd along the base and 9yd tall
Answers
Answer:
222 yd²
Step-by-step explanation:
Bottom and top area, each = 7 * 3 = 21 yd²
Two lateral surdaces, each = 7 * 9 = 63 yd²
Two lateral surdaces, each = 3 * 9 = 27 yd²
Total area = 2 x (21 + 63 + 27) = 222 yd²
ABC and ADC are triangles. The area of triangle ADC is 52m^2
Answers
Given that,
ABC and ADC are triangles.
The area of ΔADC is 52 m².
Suppose , AD is the median.
According to figure,
We need to find the area of ΔABC
Using theorem of triangle
\(\bigtriangleup ADB +\bigtriangleup ADC=\bigtriangleup ABC\)
Here, Δ ADB = Δ ADC
So, \(2 \bigtriangleup ADC=\bigtriangleup ABC\)
Put the value of Δ ADC
\(\bigtriangleup ABC =2\times52\)
\(\bigtriangleup ABC = 104\ m^2\)
Hence, The area of ΔABC is 104 m².
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answers
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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please answer
: B
tysm
Answers
Answer:
-2
Step-by-step explanation:
(7 - 0)/(0 - 3.5) = -2
Answer: -2
Step-by-step explanation: Remember rise over run. Two points you are given from the graph are (0,7) and (1, 5).
\(\frac{7-5}{0-1} = \frac{2}{-1} = -2\)
The ratio of blue paint to yellow paint in a certain color of green paint is 2.1. A painter wants a total of 14 quarts of green paint Blue paint is
$16.64 per quart and $34.96 per gallon. Buying the least amount needed, how much will it cost to purchase the blue paint in the most economic
way?
Answers
Answer:
The blue paint with a unit price of \(34.96\,\frac{USD}{gal}\) is the most economic option for the painter. (Cost: \(x = 8.74\,\frac{USD}{qt}\))
Step-by-step explanation:
Both gallon and quart are capacity units, we must keep in mind that a gallon equals 4 quarts. We need to convert each price in the same units. In this case, we decided to use US dollars per quart as our reference unit. Hence:
Blue paint 1 (\(16.64\,\frac{USD}{qt}\))
No unit conversions are needed.
Blue paint 2 (\(34.96\,\frac{USD}{gal}\))
We proceed to the following conversion:
\(x = 34.96\,\frac{USD}{gal}\times \frac{1\,gal}{4\,qt}\)
\(x = 8.74\,\frac{USD}{qt}\)
The blue paint with a unit price of \(34.96\,\frac{USD}{gal}\) is the most economic option for the painter. (Cost: \(x = 8.74\,\frac{USD}{qt}\))
Write the next three terms of the geometric sequence 81, -27, 9, -3,...
Answers
1, -1/3, 1/9
it is divided by negative 3 or -3
To find that you need to divide the the first term with the next term
81÷-27=-3
Sasha has a coupon to a local store that gives her 15% off one item. If the item she buys costs ddollars, the amount she will be charged can be represented by this
expression
0.850
Which of these is equivalent to the expression?
1 d+0.15d
2 d-0.15d
3 0.15d
4 1.15d
Answers
Answer:
2
Step-by-step explanation:
If d was $10 then 10x.15= $1.50. Then you take 10-1.5 and get $8.50
helppppppppppppppppppppppppppp
Answers
3.
X=1
AB/DE=BC/EF
6/18=9/9(x+2)
1/3=1/(x+2)
(x+2)=3
X=3-2
x=1
You need 100L of a solution that is 12% alcohol. You have a 5% alcohol solution and a 15% alcohol solution. How much of each should you combine?
Answers
Answer:
You would have 32% of alcohol and still have 100L of a solution.Because i took the test.
Step-by-step explanation:
12%+5%+15%=
17%+15%=
32%
Find the area of the shaded region.
Round to the nearest tenth.
123°
18.6 m
Area = [ ? ] m2
Answers
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant. The area of the shaded region is 226.2724 m².
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The area of the sector that is making a 123° angle at the centre is,
Area of the sector = π × (18.6 m)² × (123/360)
= 371.3456 m²
The area of the triangle is,
Area of the triangle = 0.5 × (18.6 m)² × (Sin 123°) = 145.0732 m²
Now, the area of the shaded region is,
Area of the shaded region = 371.3456 m² - 145.0732 m²
= 226.2724 m²
Hence, the area of the shaded region is 226.2724 m².
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![Find the area of the shaded region.Round to the nearest tenth.12318.6 mArea = [ ? ] m2](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/nSCkUj6drZiVxl9mjbb3kCXMguOAtVGK.jpeg)
Write y = 5(x - 8)^2 + 4 in standard form
Answers
Answer:
\(y=5x^2-80x+324\)
Step-by-step explanation:
in a boxplot, the dashed vertical line in the middle of the box represents which of the following measures of location?
Answers
Box plot is the use of a rectangle to represent data where the vertical sides of the rectangle represents the lower and upper quartile.
From the box plot,
The minimum is 153 cm
The first quartile is 168.4 cm
The second quartile is 174.2 cm
The third quartile is 183.9
The maximum is 195 cm
See attachment for the missing box plot.
There are 5 vertical lines in a box plot
The first represents the minimum value
The second represents the first quartile
The third represents the second quartile i.e. the median
The fourth represents the third quartile
The last represents the maximum quartile
From the attached box plot.
The first vertical line is 153 cm
The second vertical line is 168.4 cm
The third vertical line is 174.2 cm
The fourth vertical line is 183.9 cm
The firth vertical line is 195 cm
Hence:
The minimum is 153 cm
The first quartile is 168.4 cm
The second quartile is 174.2 cm
The third quartile is 183.9
The maximum is 195 cm
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Which expressions are equivalent to -3(2w + 6) - 4
Answers
hope this is what u asked for
Marc practiced guitar 25 minutes each day in July.In august,he practiced 60 mins per day.Which is the percent increase in Marc’s practice time from July to August
Answers
The percent increase from July to August is 140%.
Answer:
the answer is 140%.....
find f(2) PLEASE HELP SOLVE!! MATH!!!
Answers
The numeric value of the function f(x) = 14/[3 + ae^(kx)] at x = 2 is given as follows:
f(2) = 0.172.
How to obtain the numeric value of the function?The function for this problem is defined as follows:
f(x) = 14/[3 + ae^(kx)]
When x = 0, y = 2, hence we can obtain the coefficient a as follows:
2 = 14/(3 + a)
6 + a = 14
a = 8.
Hence:
f(x) = 14/[3 + 8e^(kx)]
When x = 1, y = 1/2, hence the coefficient k is given as follows:
0.5 = 14/(3 + 8e^k)
1.5 + 4e^k = 14
4e^k = 12.5
e^k = 12.5/4
k = ln(12.5/4)
k = 1.14.
Hence:
f(x) = 14/[3 + 8e^(1.14x)]
Then the numeric value of the function at x = 2 is given as follows:
f(2) = 14/[3 + 8e^(1.14(2))]
f(2) = 0.172.
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Use a table to find (5g + 3)(g + 8).
Answers
Answer:
5g(g + 8) + 3(g + 8)
5g² + 40g + 3g + 24
5g² + 43g +24
use implicit differentiation to find y" in terms of y and y.
Answers
The value of y' by implicit differentiation, the value of y is \(y = \sqrt{5x +c}\)
What is implicit differentiation?We differentiate each side of an equation with two variables by taking one as a variable and the rest are constant.
Given
The function is \(y^2 + 5 = 5x\)
where x and y are variables..
On differentiating the equation, we have;
\(2yy' + 0 = 5\)
on simplifying, we have
2yy' = 5
Now solve the equation explicitly for y and differentiate to get y' in terms of x.
2yy' = 5
Separate the variables
\(y^2 = 5x + c\)
Taking square root on both the side
\(y = \sqrt{5x +c}\)
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The x and y intercepts for the linear equation x – 2y = -8 is
Answers
Answer:
x- intercept = - 8 , y- intercept = 4
Step-by-step explanation:
to find the x- intercept let y = 0 in the equation and solve for x
x - 2(0) = - 8
x - 0 = - 8
x = - 8 ← y- intercept
to find the y- intercept let x = 0 in the equation and solve for y
0 - 2y = - 8
- 2y = - 8 ( divide both sides by - 2 )
y = 4 ← y- intercept
Seven years ago, Grogg's dad was 6 times as old as Grogg, and 3 years ago, his dad was 4 times as old as Grogg. How old is Grogg's dad currently?
Answers
Answer:
Grogg's dad is 22
Step-by-step explanation:
Let D = dad's current age
Let g = Grogg's current age
6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g
4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g
Set the two equations equal to each other and solve for d
6d - 35 = 4d - 9 Subtract 4d from both sides
2d -35 = -9 Add 35 to both sides
2d = 44 Divide both sides by 2
d = 22
Helping in the name of Jesus.
Answer:
Step-by-step explanation:
d = current dad age
g = current grogg age
d-7 = 6(g-7)
d-3 = 4(g-3)
Let's solve the first equation first:
Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35
Substitude d = 6g - 35 for d in d - 3 = 4g - 12
(6g-35)-3 = 4g-12 = 6g-38 = 4g-12
Subtract 4g from both sides: 2g - 38 = -12
Add 38 to both sides: 2g = 26
Easy: g = 13
And now substitude g in for any equations.
d-3 = 52-12
d = 43
What is the missing term?
+1 4x -3
3x 12x²?
4x - 3
Answers
Answer:
83
Step-by-step explanation:
41 plus 36 plus 36 is 83 is the answer for me
Find the results of the given vector subtractions for u = <-8, 4> and v = <2, 7>.
Answers
Answer:
\(\huge\boxed{\overrightarrow{u}-\overrightarrow{v}=\left<-10;\ -3\right>}\)
Step-by-step explanation:
\(\overrightarrow{u}=\left<-8;\ 4\right>;\ \overrightarrow{v}=\left<2;\ 7\right>\\\\\overrightarrow{u}-\overrightarrow{v}=\left<-8;\ 4\right>-\left<2;\ 7\right>=\left<-8-2;\ 4-7\right>=\left<-10;\ -3\right>\)
Answer:
Step-by-step explanation:
-u-v = 6,-11
u-v = -10,-3
v-u = 10,3
If 4 out of 21 people prefer diet soda to regular soda, about how many regular sodas should be bought to serve 864 people, if each person
receives one soda?
Answers
~700 regular sodas to server 864 people
(the actual answer is 699.4285)
The number of regular sodas that should be bought will be 700 regular sodas.
If out of 21 people prefer diet soda to regular soda, then it means that 17 people prefer regular soda.
Since the number of people are 864 people, then the number of regular sodas that'll be bought will be:
= 17/21 × 864
= 699.42
= 700 Approximately
Therefore, the number of regular sodas that should be bought will be 700 regular sodas.
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find the solution to the system by the substitution method. Check your answer.
-x+7y= -44
5x-y= 50
Answers
Answer:
#1 x=44+7y
#2
\(x =10 + \frac{y}{5} \)
Step-by-step explanation:
used math.way hope this helps
Ok look I need #9 and #19 done
That’s all! I’ll give u the brain thing too is so easy for u! Pls don’t take my points :D
Answers
Answer:
#9 = 24
#19 = -33
Step-by-step explanation:
What is the value of p
3/5 + 1/5(40 - p) = 0
Answers
Answer:
Answer is -43
Step-by-step explanation:
1/5(40-p)= -3/5
40-p = (-3/5)/(1/5)
40-p = -3
-p = - 43
p = 43