Answers
The closest point is (3.5, 1.9) and the distance is 1.96 units
How to determine the point and the distance?The coordinate is given as:
(4, 0)
The equation of the function is
y = √x
The distance between two points is calculated using
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have the following points
(x1, y1) = (4, 0) and (x2, y2) = (x, 0)
This gives
d = √(x - 4)^2 + (√x - 0)^2
Evaluate the difference
d = √(x - 4)^2 + (√x)^2
Evaluate the exponent
d = √x^2 - 8x + 16 + x
Evaluate the like terms
d = √x^2 - 7x + 16
Next, we differentiate using a graphing calculator
d' = (2x - 7)/[2√(x^2 - 7x + 16)]
Set to 0
(2x - 7)/[2√(x^2 - 7x + 16)] = 0
Cross multiply
2x - 7 = 0
Add 7 to both sides
2x = 7
Divide by 2
x = 3.5
So, we have:
Substitute x = 3.5 in y = √x
y = √3.5
Evaluate
y = 1.9
So, the point is (3.5, 1.9)
The distance is then calculated as:
d = √(x2 - x1)^2 + (y2 - y1)^2
This gives
d = √(3.5 - 4)^2 + (1.9 - 0)^2
Evaluate
d = 1.96
Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units
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Related Questions
Sasha does push-ups each day for five days. The numbers of push-ups she does each day or shown below.
22, 36, 21, 25, 27
Answers
The mean average of push ups Sasha does in 5 days is 26.2.
Mean averageNumber of days = 5Day 1 = 22 push upsDay 2 = 36 push upsDay 3 = 21 push upsDay 4 = 25 push upsDay 5 = 27 push upsMean average = Total push ups done / number of days
= (22 + 36 + 21 + 25 + 27) / 5
= 131 / 5
= 26.2
Therefore, the mean average of push ups Sasha does in 5 days is 26.2.
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elsa sold 24 drawings for $12 each at the art fair. She is going to use 1/3 of the money to buy books. The rest of the money is going into her savings account. How much money will she put into her savings account?
Answers
If we multiply the 24 drawing by $12 for each drawing we get $288, the total she made at the art fair. By multiplying this total by 1/3, we get $96 which is the amount she spent on books. If we subtract the $96 spent from the $288 she made, we get $192, the amount she put into her savings account.
24 * $12 = $288
$288 * 1/3 = $96
$288 - $96 = $192
HELP!!!! Which of the following statements must be true to prove lines m and n are parallel? Question 19 options: A) ∠1 ≅ ∠6 B) m∠3 + m∠5 = 180° C) m∠2 + m∠6 = 180° D) ∠4 ≅ ∠8
Answers
Answer: B) m∠3 + m∠5 = 180°
Step-by-step explanation:
Concept:
For this question, we will be looking at each answer choice and eliminating the incorrect ones
A) ∠1 ≅ ∠6
∠1 is an exterior angle
∠6 is an interior angle
They are in an alternative position
Since they are neither both exterior nor interior, they are not congruent
[tex]\large\boxed{FALSE}[/tex]
B) m∠3 + m∠5 = 180°
∠3 is an interior angle
∠5 is an interior angle
They are in a same-side position
Since they are both interiors, they fulfill the same-side interior angle theorem, which states: that if a transversal cuts two parallel lines, then the interior angles on the same side of the transversal are supplementary, which means their sum adds up to 180°.
[tex]\Huge\boxed{TRUE}[/tex]
C) m∠2 + m∠6 = 180°
∠2 is an exterior angle
∠6 is an interior angle
They are in a same-side position
Since they are on the same side, they fulfill the corresponding angle theorem which states: the angles that occupy the same relative position at each intersection are congruent to each other.
However, they are only congruent, they don't add up to 180°
[tex]\large\boxed{FALSE}[/tex]
D) ∠4 ≅ ∠8
∠4 is an interior angle
∠8 is an exterior angle
They are in an alternative position
Since they are neither both exterior nor interior, they are not congruent
[tex]\large\boxed{FALSE}[/tex]
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(1+m)²= (1-m)²+ 4lm,
Answers
The expression is simplified to give 2 ( m² + m + 2Im ) = 0
How to simplify the expression
Given the expression;
(1+m)²= (1-m)²+ 4lm,
Expand the expression
( 1 +m) ( 1 + m) = ( 1 + m) ( 1 - m) + 4Im
1 + m + m + m² = 1 - m + m - m² + 4Im
collect like terms
1 + 2m + m² = 1 - m² + 4Im
1 - 1 + m² + m² + 2m + 4Im
2m² + 2m + 4lm = 0
simplify
2 ( m² + m + 2Im ) = 0
Thus, the expression is simplified to give 2 ( m² + m + 2Im ) = 0
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Solve:
55) A pool is filling at 3 pts per min. How many gallons per hour is that?
Answers
2 pints = 1 quart
4 quarts = 1 gallon
60 minutes = 1 hour
15 pints/minute x 60 minutes/hour x 1 quart/2 pints x 1 gallon/4 quarts = 112.5 gallons/hour
Anu is a photographer and was recently hired to photograph a wedding in Hawaii. While there, Anu had some time to
explore the island and capture other beautiful pictures.
During the trip, Anu took a total of 1,200 photographs. Of these, 25% were wedding photos, 35% were pictures of Lanikai
Beach, and the rest of the pictures were taken at the Honolulu Zoo. How many of Anu's pictures were taken at the Honolulu
Zoo?
Answers
ANSWER: 480 out of 1200 were taken at the Honolulu Zoo.
Question
Find the point-slope form of the equation of the line satisfying the given conditions and use this to write the slope-intercept form of the equation.
x-intercept - 5 and y-intercept = 4
Answers
Answer:
y=(−2)x−-6
Step-by-step explanation:
Use the slope −2 and the point (−5,4) to find the y-intercept.
y=mx+b
⇒4=(−2×−5)+b
⇒−4=10+b
⇒b=−6
Write the equation in slope intercept form as:
y=mx+b
⇒y=(−2)x−-6
Which of the following is the equation of the line that passes through the point (-5,-7) and has a slope of 2/5?
No multiple choice
Answers
Step by step.
The equation of the straight line y = m x +b.
We need to find y intercept, or “b”.
Substitute (-5,-7) and slope 2/5 into the equation y= mx + b.
So
-7 = 2/5 (-5) + b
-7 = -2 + b
b= -7-2
b = -9
By using slope intercept form, the equation of the line that passes through the point (-5, -7) and has a slope of 2/5 is
y = 2/5x -9.
The equation of the line passing through the point (-5, -7) with a slope of 2/5 is y = (2/5)x - 5.
How did we get the values?To find the equation of a line, we can use the point-slope form of a linear equation:
y - y₁ = m(x - x₁),
where (x₁, y₁) is the given point on the line and m is the slope.
In this case, the given point is (-5, -7) and the slope is 2/5. Substituting these values into the equation, we have:
y - (-7) = (2/5)(x - (-5)).
Simplifying further:
y + 7 = (2/5)(x + 5).
Distributing the 2/5:
y + 7 = (2/5)x + 2.
Subtracting 7 from both sides:
y = (2/5)x - 5.
Therefore, the equation of the line passing through the point (-5, -7) with a slope of 2/5 is y = (2/5)x - 5.
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A kite is flying 95 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 59 degrees. Find the length of the string. Round your answer to the nearest tenth.
Answers
If a kite is flying 95 ft. off the ground, and its string is pulled taut. The angle of elevation of the kite is 59 degrees. Then the length of the string will be 110.8 ft.
Given information constitutes the following,
The distance of the flying kite from the ground, length AB (refer the figure) = 95 ft.
The angle of elevation of the kite, ∠ACB = 59°
We have to find the length of the string, that is the length AC. For that, we can apply Trigonometry as shown in the next steps of the solution.
In ΔABC, as shown in the attached figure,
sin (∠ACB ) = AB / AC
⇒ sin (59°) = 95 / AC
0.8572 = 95 / AC
AC = 95 / 0.8572
AC = 110.814
AC ≈ 110.8 ft. [After rounding off to the nearest tenth]
Hence, the length of the string comes out to be 110.8 ft.
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Let a be an even integer number, b be an odd integer number and c be an integer number.
Which of the following statements is NOT true?
a.
If a+b=c, then c is odd integer.
b.
If b+b=c, then c is even integer.
c.
If b×b=c, then c is even integer.
d.
If a×b=c, then c is even integer.
Answers
The false statement is given by:
c. If b×b=c, then c is even integer.
When is the addition of two integers even or odd?It both numbers are even or both are odd, the addition is even.It one number is even and the other is odd, the addition is odd.When is the multiplication of two integers even or odd?It at least one of the numbers is even, the multiplication is even.If the two numbers are odd, the multiplication is odd.Hence, since b is odd, b x b = c is odd, hence statement c is false.
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IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
Answers
Applying the congruent chords theorem, the value of x is: 7.
Length of segment LP is: 6 units.
What is a Chord in Geometry?In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.
What is the Congruent Chords Theorem?In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.
In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.
According to the congruent chords theorem, NS = PS, thus:
8 = 2x - 6
8 + 6 = 2x
14 = 2x
Divide both sides by 2
14/2 = 2x/2
7 = x
x = 7
LP = 1/2(12)
LP = 6 units.
In summary, applying the congruent chords theorem, the value of x is: 7.
Length of segment LP is: 6 units.
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Given that m/_a=40 and m/_b=61 find that the measure of angles x and y
Answers
y = 140, x = 159
Step-by-step explanation:
Angle y:
we can find this angle by subtracting 40 from 180, 180-40 = 140 = y
Angle x:
Some measure of an angle plus angle b is equal to 180 degrees: 180-61 = 119
We can now find the measure of the third angle of the triangle: 180-(119+40) = 21
The third angle plus angle x is equal to 180: 180-21 = 159 = x
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
x = 159°y = 140°[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
[tex]\qquad❖ \: \sf \:y + a = 180[/tex]
( linear pair )
[tex]\qquad❖ \: \sf \:y + 40 = 180[/tex]
[tex]\qquad❖ \: \sf \:y = 180 - 40[/tex]
[tex]\qquad❖ \: \sf \:y = 140 \degree[/tex]
And
[tex]\qquad❖ \: \sf \:x = a +( 180 - b)[/tex]
( Exterior angle = sum of opposite interior angles )
[tex]\qquad❖ \: \sf \:x = 40 + (180 - 61)[/tex]
[tex]\qquad❖ \: \sf \:x = 40 + 119[/tex]
[tex]\qquad❖ \: \sf \:159 \degree[/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
x = 159°y = 140°Two triangles are similar. The sides of the first triangle are 4,5,and 6. The largest side of the second triangle is 24. Find the perimeter of the second triangle.
Answers
Answer:
The perimeter of the second triangle is 60 units.Step-by-step explanation:
If two triangles are similar, their corresponding sides will be k times greater or smaller, where k is the scale factor.
We have two corresponding sides given, 6 and 24 or 6k. Using this info, find the value of k:
k = 24/6 = 4The other sides of the larger triangle are:
4k = 4*4 = 165k = 5*4 = 20The perimeter is the sum of sides:
P = 16 + 20 + 24 = 601. Assuming that the company sells all that it produces, what is the profit function?
2. What is the domain of P(x) ?
3. The company can choose to produce either 50 or 60 items. What is their profit for each case, and which level of production should they choose? Profit when producing 50 items? Profit when producing 60 items?
4. Can you explain, from our model, why the company makes less profit when producing 10 more units?
Answers
The profit function is R(x) = -0.5 (x - 50²) + 1150
The domain of P(x) is: 0 ≤ x ≤ 150 Profit when producing 50 items = 1150 Profit when producing 60 items = 1100 What is the profit function about?Note that:
1. Profit = Revenue - cost
P (x) = 0.5 ( x - 90²) + 4050 - 40x - 100
= 0.5 ( x² - 180 + 8100 + 4050 - 40x - 100
=0.5 x² - 50x - 100
=0.5( x² - 100x) - 100
= -0.5 (x - 50²) + 1150
2. Since the minimum unit is 50.
Then x ≤ 150
X = describe the item so it need to be a negative number
x ≥ 0Hence the domain of P(x) is: 0 ≤ x ≤ 150
3. Assume x = 50 , 60
R(50) = 1150 , R (60 ) = -0.5 (60-50)² + 1150 = 1100
4. R (x) = -0.5 (x-50)² + 1150 then 50 more unit is removed hence, Profit when producing 60 items = 1100
Therefore, The profit function is R(x) = -0.5 (x - 50²) + 1150
The domain of P(x) is: 0 ≤ x ≤ 150 Profit when producing 50 items = 1150 Profit when producing 60 items = 1100Learn more about profit function from
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In a survey of 2035 workers, 73% reported working out 3 or more days a week. What is the margin of error? What is the interval that is likely to contain the exact percent of all people who work out 3 or more days a week? Show all work.
Your work needs to be your own. If you need help, reach out to your teacher. Use this formula:
Answers
The margin of error is 1.9%. and the interval that likely contains the true percent of all people who work out 3 or more days a week is: (71.1%, 74.9%)
What is the Margin of Error?Margin of error is the critical value (t score or z score) multiplied by the standard error (standard deviation of the sample). Thus;
ME = Critical value × S.E
Since n > 30, we can use the z-score as the critical value.
Assuming 95% confidence level, then z = 1.96
The standard error for a proportion is given by the formula:
s = √(p (1 − p) / n)
We are given;
p = 0.73
n = 2035:
Thus;
s = √(0.73 (1 − 0.73) / 2035)
s = 0.0098
Thus, the margin of error is:
ME = 1.96 × 0.0098
ME = 0.019
The margin of error is 1.9%.
The interval that likely contains the true percent of all people who work out 3 or more days a week is:
73% ± 1.9% = (71.1%, 74.9%)
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The large rectangle was reduced to create the small rectangle.
A large rectangle has a length of 18 inches and width of 12 inches. A smaller rectangle has a length of 6 inches and width of x inches.
Not drawn to scale
What is the missing measure on the small rectangle?
2 inches
3 inches
4 inches
5 inches
Answers
Answer:
4 inches
Step-by-step explanation:
large rectangle - 18:12 ratio = 3:2
small rectangle - 6:4 = 3:2
If 2/3x − 1 = 4, then x=
Answers
Answer: 15/2 or 7.5
Step-by-step explanation:
2/3x = 5
5 divided by 2/3 or 5 x 3/2
= 15/2 or 7.5
Answer: 15/2
Step-by-step explanation:
[tex]\frac{2}{3} x-1=4\\\\\frac{2}{3}x=5\\ \\x=5(\frac{3}{2})\\\\x=\frac{15}{2}[/tex]
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 39 ounces and a standard deviation of 5 ounces.
Use the Standard Deviation Rule, also known as the Empirical Rule.
Suggestion: sketch the distribution in order to answer these questions.
Answers
The answer to these questions are
Option A: This is in the attachmentOption B : 24 and 54Option C: 97.59%Option D: 84.13%
How to find the point where the distribution lies at 99.7%. The data is 3 sd from mean
Hence
39 - 3*(5) = 24
39 + 3*(5) = 54
The widget lies between 24 and 54
c. P(29.0 < x < 54.0)
= 29 - 39 / 5 and 54 - 39 / 5
= -2.0 and 3.0
We have to find P(Z < 3.0) - P(Z < -2.0)
= 0.9987 - 0.0228
= 97.59%
d. x = 44
= 44 - 39/ 5
= 1
We are to find P(z < 1.0) = 84.13%
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0
100
200
300
400 500 600 700
Quantity Supplied
nstructions: Refer to the graph and answer the questions below.
Suppose the price is $6. What is the Quantity Supplied?
Suppose the Quantity Supplied is 200. What must the price be?
Suppose the price is $5 resulting in a Quantity Supplied of 300. Then the pric
Answers
Answer:
a. 400
b. 4$
Step-by-step explanation:
2$ equals 0 Quantity
3$ equals 100 Quantity
4$ equals 200 Quantity
We can see that starting from 2$, a dollar will increase the Quantity by 100
2) Find the perimeter and area of the figures:
a)
P =
A =
8
8 ft.
b)
P =
A =
12
5m
Answers
Answer:
8+8+12+5= 33
Step-by-step explanation:
8+8+12+5=33
Solve the inequality
21≥t+10
Answers
The answer is t ≤ 11.
Subtract 10 from each side.21 - 10 ≥ t + 10 - 10t ≤ 11In the parallelogram below,
y = [? ]°
2
Z
1240
33%
Answers
Answer:
y = 33
Step-by-step explanation:
Angle y and 33 are alternate interior angles since the figure is a parallelogram and alternate interior angles are equal
y = 33
Answer:
y = 33°
Step-by-step explanation:
The diagonal of the parallelogram (a transversal) intersects two opposite and parallel sides of the parallelogram
Then
The angles of measures y° and 33° are Alternate interior angles
Then
they are congruent.
In other words , y = 33°
jake made some tarts. He sold 3/5 of them and gave 1/4 of the remainder to his friends. If he had 150 tarts left, how many did he sell?
Check what other students also ask
Answers
Answer:
300 tarts
Step-by-step explanation:
we must solve this equation by going backwards
3/4 of something (as 1/4 was given away) is 150
150 / 3/4 is what you must do
or
150 * 4/3
that is
200
3/5 was sold so 2/5 was left
2/5 of something is 200
200 / 2/5
200 * 5/2
that is
500
3/5 of that was sold
so
500 * 3/5 is 300
300 tarts were sold
f(x)=cos(2x) and state the amplitude and period. Enter exact answers
Answers
The amplitude of function f(x)=cos(2x) is 1 and the period is 2.
Given that the function of x is f(x)=cos(2x).
We are required to find the value of amplitude and period of function f(x) which is given in the question.
Amplitude basically refers to maximum displacement from the equilibrium that an object in periodic motion show. It is a product analytics platform or term that helps businesses to track visitors with the help of collaborative analytics.
Period is basically the time interval between two waves. A function that repeats its values at regular intervals or periods is known as periodic function.
The amplitude of f(x)=cos(2x) is 1 because the highest value that cos Θ can give 1. We can also see in graph that the value of cos 2x is going to 1 and starts decreasing again.
The period of f(x) is 2. From the graph we can say that the vertical distance between upper point and lower point is 2.
Hence the amplitude of function f(x)=cos(2x) is 1 and the period is 2.
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need heeeelp please
Answers
Answer: [tex]\Large\boxed{x=-\frac{4}{5} }[/tex]
Step-by-step explanation:
Given equation
[tex]-9+log_{4}(-5x)=-8[/tex]
Add 9 on both sides
[tex]-9+log_{4}(-5x)+9=-8+9[/tex]
[tex]log_{4}(-5x)=1[/tex]
Simplify the logarithm
[tex]-5x=4^1[/tex]
[tex]-5x=4[/tex]
Divide -5 on both sides
[tex]-5x\div-5=4\div-5[/tex]
[tex]\Large\boxed{x=-\frac{4}{5} }[/tex]
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In the circle below, O is the center and mGl= 145°. What is the measure of the central angle ZGOR? H G 0 145° I
Answers
The measure of the central angle is 290 degrees
How to determine the measure of the central angle?The measure of arc GI is given as:
mGI = 145 degrees
The measure of the central angle is calculated as:
Central angle = 2 * mGI
Substitute the known values in the above equation
Central angle = 2 * 145
Evaluate the product
Central angle = 290
Hence, the measure of the central angle is 290 degrees
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QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
WILL GIVE BRAINLIEST FOR ACCURATE ANWSER
Answers
The central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BD)/18.
Given that BD is diameter of the circle and angle BAC is 100°.
We are required to find the central angle, major arc, minor arc, m BEC, BC.
Angle is basically finding out the intensity of inclination of something on the surface.
In the circle central angles are many like BAC and CAD. We can write CAD as DAC also.
Major arc of a circle is that arc whose length is larger than all other arcs in the circle.
In our circle the major arc is arc BED.
Minor arc of a circle is that arc whose length is smaller.
In our circle the minor arc is arc ADC.
We know that arc's length is 2πr(Θ/360)
In this way BC=2π*(BD/2)*100/360
=(5π*BD)/18
We cannot find angle BEC.
Hence the central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BA)/18.
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Show that the function f(x)=sin3x + cos5x is periodic and it’s period.
Answers
The period of [tex]f(x)[/tex] is [tex]\boxed{2\pi}[/tex].
Recall that [tex]\sin(x)[/tex] and [tex]\cos(x)[/tex] both have periods of [tex]2\pi[/tex]. This means
[tex]\sin(x + 2\pi) = \sin(x)[/tex]
[tex]\cos(x + 2\pi) = \cos(x)[/tex]
Replacing [tex]x[/tex] with [tex]3x[/tex], we have
[tex]\sin(3x + 2\pi) = \sin\left(3 \left(x + \dfrac{2\pi}3\right)\right) = \sin(3x)[/tex]
In other words, if we change [tex]x[/tex] by some multiple of [tex]\frac{2\pi}3[/tex], we end up with the same output. So [tex]\sin(3x)[/tex] has period [tex]\frac{2\pi}3[/tex].
Similarly, [tex]\cos(5x)[/tex] has a period of [tex]\frac{2\pi}5[/tex],
[tex]\cos(5x + 2\pi) = \cos\left(5 \left(x + \dfrac{2\pi}5\right)\right) = \cos(5x)[/tex]
We want to find the period [tex]p[/tex] of [tex]f(x)[/tex], such that
[tex]f(x + p) = f(x)[/tex]
[tex] \implies \sin(3x + p) + \cos(5x + p) = \sin(3x) + \cos(5x)[/tex]
On the left side, we have
[tex]\sin(3x + p) = \sin(3x + 2\pi + p - 2\pi) \\\\ ~~~~~~~~ = \sin(3x+2\pi) \cos(p-2\pi) + \cos(3x+2\pi) \sin(p-2\pi) \\\\ ~~~~~~~~ = \sin(3x) \cos(p-2\pi) + \cos(3x) \sin(p - 2\pi)[/tex]
and
[tex]\cos(5x + p) = \cos(5x + 2\pi + p - 2\pi) \\\\ ~~~~~~~~ = \cos(5x+2\pi) \cos(p-2\pi) - \sin(5x+2\pi) \sin(p-2\pi) \\\\ ~~~~~~~~ = \cos(5x) \cos(p-2\pi) - \sin(5x) \sin(p-2\pi)[/tex]
So, in terms of its period, we have
[tex]f(x) = \sin(3x) \cos(p - 2\pi) + \cos(3x) \sin(p - 2\pi) \\\\ ~~~~~~~~ ~~~~+ \cos(5x) \cos(p - 2\pi) - \sin(5x) \sin(p - 2\pi)[/tex]
and we need to find the smallest positive [tex]p[/tex] such that
[tex]\begin{cases} \cos(p - 2\pi) = 1 \\ \sin(p - 2\pi) = 0 \end{cases}[/tex]
which points to [tex]p=2\pi[/tex], since
[tex]\cos(2\pi-2\pi) = \cos(0) = 1[/tex]
[tex]\sin(2\pi - 2\pi) = \sin(0) = 0[/tex]
4 1/3 - 1 2/3 how to solve this please
Answers
Answer:
[tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
1) Convert [tex]4\frac{1}{3}[/tex] to improper fraction. Use this rule: [tex]a\frac{b}{c} =\frac{ac+b}{c}[/tex].
[tex]\frac{4\times3+1}{3} -1\frac{2}{3}[/tex]
2) Simplify 4 * 3 to 12.
[tex]\frac{12+1}{3}[/tex]
3) Simplify 12 + 1 to 13.
[tex]\frac{13}{3} -1\frac{2}{3}[/tex]
4) Convert [tex]1\frac{2}{3}[/tex] to improper fraction. Use this rule: [tex]a\frac{b}{c} =\frac{ac+b}{c}[/tex].
[tex]\frac{13}{3} -\frac{1\times3+2}{3}[/tex]
5) Simplify 1 * 3 to 3.
[tex]\frac{13}{3} -\frac{3+2}{3}[/tex]
6) Simplify 3 + 2 to 5.
[tex]\frac{13}{3} -\frac{5}{3}[/tex]
7) Join the denominators.
[tex]\frac{13-5}{3}[/tex]
8) Simplify.
[tex]\frac{8}{3}[/tex]
9) Convert to mixed fraction.
[tex]2\frac{2}{3}[/tex]
(Decimal Form: 2.666667)
Thank you,
Eddie
could anyone help me solve this?
Answers
Step-by-step explanation:
The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.
So here it is (2,7) exclusive then (7,10) exclusive.
A constant speed means a slope of 0. Here it is (3,6).
c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis
So we would get
Above is the function, don't worry bout the math part.
D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it
We must use the original graph because acceleration is a vector meaning it can be negative.
We would get
the second graph is acceleration vs time