A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure. Find a) the distance travelled by motorcycle. b) the displacement
Answers
The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.
What is Distance and Displacement ?Distance and Displacement both are the measure of the movement of an Object from one point to another.
Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.
Distance travelled will always be positive but Displacement can be positive , negative and zero.
A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure
The missing figure is attached with the answer.
(a) The distance covered by the motorcycle is
2πr = 2 * 3.14 * 5 = 31.4 km
(b) The displacement will be equal to 0 as the starting and the ending point is same.
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Related Questions
Determine when both options will cost you the same amount and how much is that?
Answers
Answer:
after 25 months both options cost $2000
Step-by-step explanation:
the options are the same at the point of intersection of the 2 lines
the lines intersect at (25, 2000)
That is after 25 months both options will cost $2000
write in standard form
(2×10³)+(4×10²)+(4×10¹)+(4×1)
can somebody answer this please.
c:
Answers
Answer: 2,444
Step-by-step explanation: We can find the answer to this problem by simplifying the scientific notation, and then adding. You would end up with 2,000 + 400 + 40 + 4 if done correctly. Hope this helps!
Please Help I Don't Understand!
Answers
The value of x is 8 from the diagram given.
How do you calculate the sides of similar triangles?The corresponding sides of a similar triangle are said to be in proportion if and only if the corresponding angle are also equal.
To calculate the side of line x (|x|), we have to determine the ratios of the corresponding sides as:
[tex]\mathbf{\dfrac{BC}{DC} = \dfrac{AC}{EC}}[/tex]
[tex]\mathbf{\dfrac{x}{10} = \dfrac{12}{15}}[/tex]
x = 120/15
x = 8
Therefore, we can conclude that the value of x is 8.
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three numbers are in the ratio 1:3:5 and their sum is 270. find the largest number.
Answers
Answer:
150
Step-by-step explanation:
Let :
⇒ The numbers can be denoted as x, 3x, and 5x
=============================================================
Solving :
⇒ It mentions their sum is 270
⇒ x + 3x + 5x = 270
⇒ 9x = 270
⇒ x = 30
=============================================================
Largest number :
⇒ 5x
⇒ 5(30)
⇒ 150
Answer :
Largest number is 150.Step by step explaination :
Here we have been given with the ratio of three numbers that is 1 : 3 : 5. So let us assume a common factor for them , we are assuming it as y.
Therefore,
First number = 1 → 1 × y = 1y Second number = 3 → 3 × y = 3yThird number = 5 → 5 × y = 5ySum of them is 270 :
>> 1y + 3y + 5y = 270
>> 4y + 5y = 270
>> 9y = 270
>> y = 270 / 9
>> y = 90 / 3
>> y = 30
Henceforth, value of y is 30.
★ Finding out first number :-
>> First number = 1y
>> First number = 1 × 30
>> First number = 30
★ Finding out second number :-
>> Second number = 3y
>> Second number = 3 × 30
>> Second number = 90
★ Finding out third number :-
>> Third number = 5y
>> Third number = 5 × 30
>> Third number = 150
Solve the system.
3x + 4y = 7
2x-y=1
What does x and y equal
Answers
Answer:
x=1 y=1
Step-by-step explanation:
Let's use the elimination method.
3x+4y=7
2x-y = 1 (multiply both sides by 4)
8x-4y=4
3x+4y=7
(add both equations together)
11x=11
x=1
Plug x=1 into either of the equations
2(1) - y=1
2-y=1
2=1+y
y=1
bobs snowplow business charges 300$ per season plus 10$ for each walkway shoveled, while mikes snow removal charges 250$ per season plus 15$ per walkway.
using technology, how many walkways must be shoveled to result in equal billing from both companies?
Answers
The number of walkways that must be shoveled to result in equal billing from both companies is 10
Calculating costFrom the question, we are to determine how many walkways must be shoveled to result in equal billing from both companies
Let the number of walkways be x
From the given information,
Bobs snowplow business charges 300$ per season plus 10$ for each walkway shoveled
∴ If x walkways are shoveled
the billing will be $300 + $10x
For Mikes snow removal
Mikes snow removal charges 250$ per season plus 15$ per walkway
∴ If x walkways are shoveled
the billing will be $250 + $15x
Now, we are to determine the value of x for which the billings from both companies will be equal,
That is,
$300 + $10x = $250 + $15x
$15x - $10x = $300 - $250
$5x = $50
x = $50 / $5
x = 10
Hence, the number of walkways that must be shoveled to result in equal billing from both companies is 10.
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URGENT PLEASE ANSWER
2 Increase 280 in the ratio 5:2
Answers
Answer:
300:288
Step-by-step explanation:
5+2=7
280 /7 = 4
20:8
300:288
Smita types 5400 words per hour. How many words does she type per minute?
Answers
Answer:
here we have to divide the number of words per hour to the number of minutes per hour.
Step-by-step explanation:
5400÷60
=90.
therefore in a minute she types 90 words.
HOPE IT HELPS.BRAINLIESTHELP PLEASE I WILL MARK BRAINLIEST
Answers
Hope that made sense
Paint can be purchased in two sizes: 1 gallon for $45.99 or 1 quart for $14.99.(round to the hundredths place)a.unit ratio of 1 quart (32oz) for $14.99is __________b.unit ratio of 1 gallon (128oz) for $45.99is __________c.which is the better deal?
Answers
Answer:
a. $0.47 per ounce
b. $0.36 per ounce
c. the gallon size costs less per ounce
Step-by-step explanation:
A unit rate is a rate that is expressed with one unit in the denominator. That is, it is <some amount> per unit. The <some amount> value will generally depend on what unit is chosen. This problem suggests the desired unit is 1 oz of paint.
__
a.Unit cost for a quart:
ratio = cost/ounces = $14.99/(32 oz) ≈ $0.468/oz ≈ $0.47/oz
__
b.Unit cost for a gallon:
ratio = cost/ounces = $45.99/(120 oz) ≈ $0.359/oz ≈ $0.36/oz
__
c.The cost per ounce is less for the gallon size. If at least 3 quarts of paint is needed, then buying it in the gallon size will cost less.
If less than 3 quarts are needed, then a gallon container will cost more than is necessary for the paint required. The "better deal" depends on the amount of paint required.
Angles A and B are complementary. If sin A = 5x + 9 and cos B = 3x + 21, what is the value of x? (1 point) 2 6 15 39
Answers
The value of x is 6.
What are complementary?Complementary angles are angles that sum up to 90°.
Analysis:
For angles A and B, to be complementary, the sine of angle A must be equal to the cosine of angle B.
sin A = cos B
5X+9 = 3x+21
5x - 3x = 21 - 9
2x = 12
x = 6
In conclusion, the value of x to make angles A and B complementary is 6.
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A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.
What is the probability of drawing a red marble out of the bag without looking?
Answers
[tex]|\Omega|=1+2+3+3=9\\|A|=3\\\\P(A)=\dfrac{3}{9}=\dfrac{1}{3}\approx33,3\%[/tex]
a straight line has gradient -2 and passes through the point (-3 , 10).
work out the equation of the line
give your answer in the form y=mx+c
Answers
Answer:
y = 4 - 2x
Step-by-step explanation:
That is the formula, in y = a + mx but it you want it in y = mx+c, it is y = -2x + 4
Amy and alexis share a pizza. amy eats 4/9 and alexis eats 5/12 how much of the pizza is left ? give you answer in the simplest form.
Answers
Exact Form:
5
27
Decimal Form:
0.
¯¯¯¯¯¯
185
i hope this helps please have a nice day/night
Answer:
Exact Form:
5
27
Decimal Form:
0.
¯¯¯¯¯¯
185
i hope this helps please have a nice day/night
Step-by-step explanation:
Please help
Find f(f(x))
f(x)=x^2
Answers
We know f(x) = x^2, which can be substituted into f(f(x)) like this: f(x^2) = (x^2)^2.
—Using the exponent rule, multiply the powers 2*2=4.
(x^2)^2 = x^4.
On a piece of paper, draw a box plot to represent the data.
Then determine which answer choice matches the box plot
you drew.
12, 14, 17, 23, 25, 30, 32, 37, 38, 40, 41
Answers
You have to find the median, lower quartile and upper quartile.
rotate 90 dgrees answer me
Answers
Step-by-step explanation:
here, given points are
(-2,-1),(-5,-3),(-5,-4)
now
(X,y)________ (-y,X)
(-2,-1)________ (1,-2)
(-5,-3)________ (3,-5)
(-5,-4)________ (4,-5)
now plot the points in the graphs
The slope of a line is 3. The y intercept of the same line is -12
Complete the slope intercept form equation
Answers
Answer:
y = 3x - 12
Step-by-step explanation:
Forming the slope-intercept equation :
y = mx + b
m = slopeb = y-interceptSubstitute m = 3 and b = -12 in the equation :
y = 3x - 12Answer:
y = 3x - 12
Step-by-step explanation:
The slope intercept form of a line is y = mx + b, where m is the slope and b is the y intercept. Here, m = 3 and b = -12. Therefore, the slope intercept form for this line is y = 3x - 12.
Please help I’m begging you!!
Answers
Answer:
Here is the ans ...hope it helps:)
A book is chosen randomly. complete the steps to find the probability that the book is nonfiction given that it is hard-covered. find the probability that a chosen book is nonfiction and hard-covered. p(n ∩ h) = find the probability that a chosen book is hard-covered. p(h) = calculate the conditional probability. startfraction p (n intersection h) over p (h) endfraction =
Answers
The probability that the book is nonfiction given that it is hard-covered is 4/11
How to determine the probability?From the complete question, we have:
Total = 20
n(H ∩ N) = 4
n(H) = 11
This means that:
P(H ∩ N) = n(H ∩ N)/Total
So, we have:
P(H ∩ N) = 4/20
The conditional probability is then calculated using:
P(N | H) =4/20 ÷ 11/20
Evaluate
P(N | H) = 4/11
Hence, the probability that the book is nonfiction given that it is hard-covered is 4/11
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Answer:
Step-by-step explanation:
4/20
11/20
4/11
yw :)
Look at the top 3 banking activities done via mobile banking vs. online banking. what characteristics do you
notice for both?
Answers
The characteristics I notice in top 3 mobile banking vs. online banking. is that:
They are both flexible.They are both used for transferring fundsThey can both be used to Online bill pay.Both can be used to monitor account.What are the top 3 banking activities done via mobile banking?They are:
Checking of an account balance or checking recent transactions.Downloading of mobile banking app.Transferred money between two accounts.The top 3 banking activities done via online banking are:
Transferring of fundsLooking at account balances at any time.Looking or printing statements.Therefore, the characteristics I notice in top 3 mobile banking vs. online banking. is that:
They are both flexible.They are both used for transferring fundsThey can both be used to Online bill pay.Both can be used to monitor account.Learn more about banking activities from
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find an equation of the circle that has center (-5, 0) and passes through (4, -6).
PLEASE HELP !!!!
Answers
Answer:
[tex](x+5)^2+y^2=117[/tex]
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given:
center = (-5, 0)[tex]\implies (x-(-5))^2+(y-0)^2=r^2[/tex]
[tex]\implies (x+5)^2+y^2=r^2[/tex]
To find r², input the coordinates of the given point (4, -6) into the equation:
[tex]\implies (4+5)^2+(-6)^2=r^2[/tex]
[tex]\implies 81+36=r^2[/tex]
[tex]\implies r^2=117[/tex]
Therefore, the equation of the circle is:
[tex]\implies (x+5)^2+y^2=117[/tex]
Answer:
Standard form = (x + 5)² + y² = 117
General Form = x² + 10x + y² - 92 = 0
Explanation:
(x - h)² + (y - k)² = r²
center: (h, k)Find radius using:
[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]\rightarrow \sf radius : \sqrt{(-5-4)^+(0-(-6))^2} \ = \ 3\sqrt{13} \ \ units[/tex]
Find equation inserting values: Given center: (-5, 0)
⇒ (x - (-5))² + (y - 0)² = (3√13)²
⇒ (x + 5)² + y² = 117
⇒ x² + 10x + 25 + y² - 117 = 0
⇒ x² + 10x + y² - 92 = 0
Find the value of x.
Round to the nearest tenth.
B
29
26
X
Α'
C
50
x = [?]°
Law of Cosines: c² = a² + b² - 2ab cos C
Please Help
Answers
The measure of the missing angle x is 23.22 degrees
Cosine ruleThe expression for representing cosine rule is expressed as:
c² = a² + b² - 2ab cos C
Given the following parameters
a = 26
b = 50
c = 29
Substitute
c² = a² + b² - 2ab cos C
29² = 26² + 50² - 2(26)(50) cos C
841 = 676 + 2500 - 2600cosC
2335 =2600cos C
cos C = 2335/2660
C = 23.22 degrees
Hence the measure of the missing angle x is 23.22 degrees
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Answer:
23.2 is the correct answer given you need to round to the nearest tenth.
Solve-2x6x + 9.
A. x > -3
B. x < -5
OC. x>-5
D. x <-3
Answers
Step-by-step explanation:
please mark me as brainlest
The mean test score of 12 students is . 42
A student joins the class and the mean becomes .43
Find the test score of the student who joined the class.
Answers
Answer:
45 becasue it has to be over 43
Step-by-step explanation:
The test score of the student who joined the class will be;
⇒ 55
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The mean test score of 12 students = 42
And, A student joins the class and the mean becomes 43.
Now,
Total score for 12 students is,
⇒ x / 12 = 42
⇒ x = 42 × 12
⇒ x = 504
Here, A student joins the class and the mean becomes 43.
Let the student who join = y
So, We get;
⇒ (504 + y) / 13 = 43
⇒ 504 + y = 43× 13
⇒ 504 + y = 559
⇒ y = 559 - 504
⇒ y = 55
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A glass marble has a diameter of 18 millimeters. What is the approximate volume of the marble? Use 3.14 for .
A.
3,052.08 cubic millimeters
B.
1,356.48 cubic millimeters
C.
24,416.64 cubic millimeters
D.
339.12 cubic millimeters
Answers
The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.
What is the volume of sphere?If the given sphere is of radius r units, then its volume is given as:
[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]
A glass marble has a diameter of 18 millimeters.
The radius is 9
[tex]V= \dfrac{4}{3} (3.14) (9)^3 \: \rm unit^3\\\\V = 3,052.08 cubic millimeters[/tex]
The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.
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solve for x
4x + 9
16x - 9
Answers
Answer:
9
Step-by-step explanation:
Vertical lines are parallel so the given interior angles are supplementary and their sum is equal to 180:
4x + 9 + 16x - 9 = 180 add like terms
20x = 180 divide both sides by 20
x = 9
find the volume to the nearest tenth
Answers
A ball is kicked upward with an initial velocity of 52 feet per second. The ball's height, h (in feet), from the ground Is
modeled by h= -16t^2 +52t where t is measured in seconds. How much time does the ball take to reach its highest
point? What is its height at this point?
Answers
Check the picture below.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+52}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 52}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (52)^2}{4(-16)}\right) \implies \left( - \cfrac{ 52 }{ -32 }~~,~~0 - \cfrac{ 2704 }{ -64 } \right)[/tex]
[tex]\left( \cfrac{13}{8}~~,~~\cfrac{169}{4} \right)\implies \underset{\stackrel{\uparrow \hspace{3em}}{seconds\qquad }}{\stackrel{\stackrel{\qquad feet}{\hspace{3em}\downarrow }}{\left( 1\frac{5}{8}~~,~~42\frac{1}{4} \right)}}[/tex]
What is (f−g)(x)?
f(x)=x^3−3x^2+2x−3
g(x)=4x^2−5x+7
Enter your answer in the box.
(f−g)(x)=
Answers
Answer:
[tex]\large\boxed{\sf x^3 - 7x^2 + 7x - 10}[/tex]
Explanation:
Given:
(a) f(x) = x³ - 3x² + 2x - 3
(b) g(x) = 4x²- 5x + 7
Solve for (f - g)(x) = f(x) - g(x) :
⇒ x³ - 3x² + 2x - 3 - (4x²- 5x + 7)
distribute inside parenthesis
⇒ x³ - 3x² + 2x - 3 - 4x² + 5x - 7
group the variables
⇒ x³ - 3x² - 4x² + 2x + 5x - 3 - 7
add or subtract variables
⇒ x³ - 7x² + 7x - 10
Answer:
x³ - 7x² + 7x - 10
Step-by-step explanation:
Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)
Given:
f(x) = x³ - 3x² + 2x - 3g(x) = 4x² - 5x + 7Simplify:
(x³ - 3x² + 2x - 3) - (4x² - 5x + 7)
(x³ - 3x² + 2x - 3) - (4x²) + - (- 5x) - (7)
x³ - 3x² + 2x - 3 - 4x² + 5x - 7
x³ - 3x² - 4x² +2x + 5x - 3 - 7
x³ - 7x² + 7x - 10
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