Only 4 students have won the track races this year gina has won 4 times Hal has won 3 times Isabel has won 3 times and Jamal has won 4 times
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Related Questions
The point S is on the line AB so that lengths AS:SB are in the ration 3:2. If A = (21,3) and B = (6, 33) then find the co ordinate of S
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From the section formula, it was found that the coordinate for the point S is (12,21).
Section Formula
The coordinates of the point S which divides the line AB into two sections can be found from the application of the Section Formula that is presented below:
[tex]S=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})[/tex], where
[tex]ratio=\frac{m}{n}[/tex]
[tex]x_1[/tex] and [tex]y_1[/tex] are coordinates of A
[tex]x_2[/tex] and [tex]y_2[/tex] are coordinates of B
Find the point SThe question gives r=[tex]\frac{3}{2}[/tex], A=(21,3) and B=(6,33). From the ratio, you can find m=3 and n=2.
Next step, applying the internal section formula. Then, you have:
[tex]S=(\frac{3*6+2*21}{3+2}, \frac{3*33+2*3}{3+2})\\ \\ S=(\frac{18+42}{5}, \frac{99+6}{5})\\ \\ S=(\frac{60}{5}, \frac{105}{5})\\ \\ S=(12, 21)[/tex]
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please awnser the equation below
Answers
Answer:
the answer for all of this question should be
C=( -10, -2)
D=(0, -2)
E=(0,8)
F=(-10,8)
so remember the quadruants and remember if the x is negative or positive and if the y is either negative or positive so hopefully those are the correct one and if not tell me whats wrong so i can edit it to make it better.
Step-by-step explanation:
Graph the circle with center (−3, −3) that passes through (2, −3). Find the area in terms of π and to the nearest tenth. Use 3.14 for π.
Answers
[tex]\fcolorbox{red}{blue}{Answer}[/tex]
78.5 units²
Step-by-step explanation:
[tex] \textsf{\large{\underline{To find :-}}}[/tex]
The area of circle on graph
[tex] \textsf{\large{\underline{Given :-}}}[/tex]
[tex] \sf (x_1,y_1) = (-3,-3) \\ \sf (x_2,y_2) = (2,-3)[/tex]
[tex] \textsf{ \huge{\underline{\underline{Solution :-}}}}[/tex]
We can see in the above question that we have been provided the center of thee circle and line of the circle passes through a point.
So to find the radius we have to find the distance between center of circle and the point from which line passes.
[tex] \sf \blue{ Distance = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }[/tex]
Now substituting the required values
[tex] \sf \implies\sqrt{ { \{2 - ( - 3) \}}^{2} + { \{ - 3 - ( - 3) \}}^{2} } \\ \\ \sf \implies \sqrt{ {(2 + 3)}^{2} + {( - 3 + 3)}^{2} } \\ \\ \sf \implies \sqrt{ {5}^{2} + {0}^{2} } \\ \\ \sf \implies \sqrt{25} \\ \\ \sf \implies 5 \: units[/tex]
So the radius will be 5 units
Now we will simply formula for area of circle
[tex] \sf \green{ Area \: of \: circle = \pi {r}^{2} }[/tex]
Now substituting the required values
[tex] \sf \hookrightarrow Area = 3.14 \times {5}^{2} \\ \\ \sf \hookrightarrow Area = 3.14 \times 25 \\ \\ \red{\boxed {\hookrightarrow \frak{78.5 \: {units}^{2} } }}[/tex]
The graph of the circle is plotted with clarity and the area is obtained as 78.5 square units.
How to graph a circle?The graph of a circle can be plotted by knowing its centre and radius.
If radius is not given, then it can be found by knowing the coordinate of any point lying on it.
The radius can be calculated by the distance formula.
The centre of the given circle is at (-3, -3) and it passes through (2, -3).
Now, radius is the distance between the centre and a point lying on circle.
The radius can be calculated by distance formula as below,
√((-3 - 2)² + (-3 - (-3))²) = 5
The graph of the given circle can be drawn as follows,
Now, the area of the circle is πr² = 3.14 × 5² = 78.5
Hence, the graph of the circle is drawn properly and the area is given as 78.5 square units.
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Eliminate the parameter in the equations x = 5cos(t) – 7 and y = 5sin(t) 9. how can the rectangular equation be described? circle ellipse parabola hyperbola
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The equation here can be described to be a circle.
How to solve for the parameterWe have the following equations
x = 5cos(t) - 7, and
y = 5sin(t) + 9
When rearranged we have
x + 7 = 5cos(t),
y - 9 = 5sin(t)
Square both equations
(x + 7)² = 25cos²(t), and
(y - 9)² = 25sin²(t)
Sum the equations
(x + 7)² + (y - 9)² = 25cos²(t) + 25sin²(t)
(x + 7)² + (y - 9)² = 25
(x + 7)² + (y - 9)² = 5²
The equation above is that of a circle. The radius is 5 units. The center is (-7,9)
The formula for the equation of a circle is
(x -a)² + (y - b)² = R², this is similar to (x + 7)² + (y - 9)² = 5²
The equation can be described as a circle.
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Answer: cirlce
Step-by-step explanation:
did it
geometric mean of 25 and 35
Answers
Answer:
sooo i think, it is
Step-by-step explanation: it screen shot cause i worked it out on my computer !
(a) A farmer has x apple trees which produce 25 kg of apples per tree. Write an expression,b
in terms of x, for the total mass of apples produced.
(b) He uses 800 ml of fertiliser for each tree. The fertiliser is sold in 5-litre containers.
Write down an expression, in terms of x, for the number of containers of fertiliser
required, given that there is no left-over.
(c) Each container costs $90. If the total cost of the fertiliser is $648,
(i) form an equation in x.
(ii) Solve this equation to find the number of apple trees
Answers
Answer:
the number of apple trees = 45
Step-by-step explanation:
a) the total mass of apples produced = 25x
b) the number of containers of fertilizer required :
[tex]=\frac{0.8x}{5} \\= 0.16x[/tex]
c)
(i) the equation :
648 = 90 × (0.16x)
⇔ 648 = 14.4x
(ii) solving :
648 = 14.4x
⇔ x = 648 ÷ 14.4
= 45
77. the volume of a cube is increasing at a rate of [tex]10 \mathrm{~cm}^{3} / \mathrm{min}[/tex] . how fast is the surface area increasing when the length of an edge is [tex]30 \mathrm{~cm} ?[/tex]
Answers
Answer:
[tex]\displaystyle \frac{4}{3}\text{cm}^2/\text{min}[/tex]
Step-by-step explanation:
Given
[tex]\displaystyle \frac{dV}{dt}=10\:\text{cm}^3/\text{min}\\ \\V=s^3\\\\SA=6s^2\\\\\frac{d(SA)}{dt}=?}\:;s=30\text{cm}[/tex]
Solution
(1) Find the rate of the cube's edge length with respect to time at s=30:
[tex]\displaystyle V=s^3\\\\\frac{dV}{dt}=3s^2\frac{ds}{dt}\\ \\10=3(30)^2\frac{ds}{dt}\\ \\10=3(900)\frac{ds}{dt}\\\\10=2700\frac{ds}{dt}\\\\\frac{10}{2700}=\frac{ds}{dt}\\\\\frac{ds}{dt}=\frac{1}{270}\text{cm}/\text{min}[/tex]
(2) Find the rate of the cube's surface area with respect to time at s=30:
[tex]\displaystyle SA=6s^2\\\\\frac{d(SA)}{dt}=12s\frac{ds}{dt}\\ \\\frac{d(SA)}{dt}=12(30)\biggr(\frac{1}{270}\biggr)\\\\\frac{d(SA)}{dt}=\frac{360}{270}\biggr\\\\\frac{d(SA)}{dt}=\frac{4}{3}\text{cm}^2/\text{min}[/tex]
Therefore, the surface area increases when the length of an edge is 30 cm at a rate of [tex]\displaystyle \frac{4}{3}\text{cm}^2/\text{min}[/tex].
There are four people in an elevator that is about to make four stops on four different floors of the building. What is the probability that each person gets off on a different floor
Answers
The probability that each person gets off on a different floor is; 3/32
How to find the Probability?
We are told that there are 4 people on the elevator. We are also told that there are four stops on four different floors. Thus;
Total number of ways to get off on the floors = 4 * 4 * 4 * 4 = 256 ways
Now, the number of ways that each person can get off on a different floor is 4! = 24. Thus, the probability that each person gets off on a different floor is;
P(each person gets off on a different floor) = 24/256 = 3/32
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Find (a) arc length and (b) Area of a sector.
Answers
Answer:
a) 38.40 yd (2 dp)
b) 211.18 yd² (2 dp)
Step-by-step explanation:
Formula
[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)[/tex]
[tex]\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}[/tex]
Calculation
Given:
[tex]\theta[/tex] = 200°r = 11 yd[tex]\begin{aligned}\implies \textsf{Arc length} &=2 \pi (11)\left(\dfrac{200^{\circ}}{360^{\circ}}\right)\\ & = 22 \pi \left(\dfrac{5}{9}\right)\\ & = \dfrac{110}{9} \pi \\ & = 38.40\: \sf yd \:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{200^{\circ}}{360^{\circ}}\right) \pi (11)^2\\& = \left(\dfrac{5}{9}\right)\pi \cdot 121\\& = \dfrac{605}{9} \pi\\& = 211.18\: \sf yd^2 \:(2\:dp)\end{aligned}[/tex]
Please note: As you have not specified if π should be approximated, I have not used an approximation for π.
simplify -3sqrt84x^3
answer asap please
Answers
Answer to your question
-6x sqrt21x
the perimeter of a rhombus whose sides are 12 units in length is:
48
144
192
Answers
Answer:
48
Step-by-step explanation:
12*4=48
Please belpppp don’t understand
Answers
Answer:
[tex]3w^2\sqrt[4]{2w^3}[/tex]
Step-by-step explanation:
hope this helps!:)
In a group of 30 high school students, 15 play football, 19 play basketball and 6
do not play either sport. DRAW a Venn Diagram in the space below to DETERMINE
how many students play basketball but not football.
Answers
Answer:
Hope the picture will help you........
Handedness: 18 left-handed
22 right-handed
The incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth grade students at Keisel Middle School. There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. if there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)
A) 0.410
B) 0.357
C) 0.333
D) 0.250
If shoppers enter a store at an average rate of r shoppers per minute and each stays in the store for average time of T minutes, the average number of shoppers in the store, N, at any one time is given by the formula N=rT. This relationship is known as Little's law.
The owner of the Good Deals Store estimates that during business hours, an average of 3 shoppers per minute enter the store and that each of them stays an average of 15 minutes. The store owner uses Little's law to estimate that there are 45 shoppers in the store at any time.
Little's law can be applied to any part of the store, such as a particular department or the checkout lines. The store owner determines that, during business hours, approximately 84 shoppers per hour make a purchase and each of these shoppers spend an average of 5 minutes in the checkout line. At any time during business hours, about how many shoppers, on average, are waiting in the checkout line to make a purchase at the Good Deals Store?
Answers
Answer:
Let x be the number of left handed female students and let y be the number of left handed male students.
Then the number of right handed female students will be 5x and the number of right handed male students will be 9y. Since the total number of left handed students is 18 and the total number of right handed students is 122, the following system of equations must be satisfied.
x+y=18 and 5x+9y=122
Solving this system gives x=10 and y=8.
Thus, 50 of the 122 right handed students are female. Therefore, the probability that a right handed student selected at random is female is the fraction 50/122
which to the nearest thousandth is 0.410.
T is average time spend by shoppers in minutes
N average number of shoppers.
Here, shoppers/hour =84.
Hence r=
60
84
T=5
Hence N=rT=
60
84
×5=7
Average number of shoppers waiting at checkout =7
Answer:
EMMA ITS KAIDN. text back.
Step-by-step explanation:
I had already answered this.
The average speed of a car on the highway is 65 miles per hour? How many feet per
second is this?
Answers
Answer:
95.3333 ft/s
Step-by-step explanation:
There are eight swimmers in a competition where the top three swimmers advance. in how many ways can three swimmers advance?
Answers
The number of ways in which three swimmers can advance is 56.
What is a combination?The combination is the selection of items without taking the order of arrangement into consideration.
The formula used in calculating the combination is:
[tex]\mathbf{C(n,r) = \dfrac{n!}{r!(n-r)!}}[/tex]
[tex]\mathbf{C(n,r) = \dfrac{8!}{3!(8-3)!}}[/tex]
[tex]\mathbf{C(n,r) = \dfrac{8\times 7\times 6 \times 5!}{3!(5)!}}[/tex]
[tex]\mathbf{C(n,r) = 8\times 7}[/tex]
C(n, r) = 56
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Consider the following function f(x) = x² + 5.
Part A: Write a function, in vertex form, that shifts f(x) right 3 units.
Part B: Write a function, in vertex form, that shifts f(x) left 10 units.
Answers
Part A
To shift the curve 3 units to the right, we'll replace x with x-3. What this does is move the xy axis 3 units to the left. If we held the curve in place as the axis moves, then it gives the illusion the curve is moving 3 units to the right.
[tex]f(x) = x^2 + 5\\\\f(x-3) = (x-3)^2 + 5\\\\g(x) = (x-3)^2 + 5\\\\[/tex]
Do not expand out the (x-3)^2 term, because you want to keep the function in vertex form. The old vertex of (0,5) moves three units to the right to arrive at (3,5)
Answer: [tex]g(x) = (x-3)^2 + 5[/tex]==============================================================
Part B
We use the same idea as before. This time we're moving the curve 10 units to the left, so we'll replace x with x+10
[tex]f(x) = x^2 + 5\\\\f(x+10) = (x+10)^2 + 5\\\\g(x) = (x+10)^2 + 5\\\\[/tex]
What is the answer please?
Answers
Answer:
If yo translate ABC down 5 units and to the right 2 units, it coincides with GHI.
Step-by-step explanation:
You just have to follow the directions
I don't know what to do! please help!
Answers
Answer:
128
Step-by-step explanation:
As they have added the same shape onto the top of the rectangle as they have taken away from the bottom, just do 16x8.
A circle has a radius of 16 m. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
16 m
Answers
Answer:
C=100.53 CM²
Step-by-step explanation:
Formula to the circumference of a circle is 2π·r
2π=6.28
6.28·16=100.53 CM²
A loaf of bread and 4 scones cost £3.30. If the loaf costs 90 pence how much would one scone cost ? .
Answers
Answer:
Step-by-step explanation:
Givens
4 scones
1 loaf of bread
Total cost = 3.30
Equation
Let the loaf of bread = b
Let the scones = s
Cost = b + 4s
Solution
Substitute the givens into the equation
b + 4s = Cost
90 + 4s = 3.30 Subtract 90 from both sides
90-90 + 4s = 3.30-90 Combine
4s = 2.40 Divide by 4
4s/4 = 2.40/4
s = 0.6 of a pound
Answer: 1 scone = 60 pence.
jacob has 96 books to stack on library shelves. each half can hold 9 books.how many shelves will he need to stack all his books
Answers
Answer:
11 shelves.
Divide 96 by 9
96 ÷ 9 = 10.6
Since 10.6 rounds to 11, and it is more than 10, we will need 11 shelves to store the books, since there is no such thing as a half-bookshelf here.
I need help finding the slope and what m=
Answers
Jacqueline is cleaning the barn and needs to give her horse freshwater.the water trough holds 70 gallons of water the hose she has to use as a flow rate of 6 gallons per minute. how long will it take to fill the water trough?
Answers
Then 70 gallons will flow in ;
70 * 1/6. = 11.7 minutes
It will takes 11.7 minutes to fill the water trough
SOMEBODY HELP ME PLEASE
Answers
Answer:
68
Step-by-step explanation:
the interior angles of a triangle always adds up to 180. So if you add 59 and
53 together you would get 112. Then subtract that from 180 and you would get 68.
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly: startfraction 2 over x squared minus 36 endfraction minus startfraction 1 over x squared 6 x endfraction = startfraction 2 over (x 6) (x minus 6) endfraction minus startfraction 1 over x (x a) endfraction. = startfraction b x over (x 6) (x minus 6) x endfraction minus startfraction x minus c over (x 6) (x minus 6) x endfraction. = startfraction d x minus x e over (x 6) (x minus 6) x endfraction. = startfraction x f over (x 6) (x minus 6) x endfraction. = startfraction g over x (x minus 6) endfraction a = b = c = d = e = f = g =
Answers
The values for the highlighted variables that show how to subtract the rational expressions correctly are a = 6, x^2 + 6x is equal to x(x+6), and b=2.
How to explain rational expressions?From the informaation, the denominator and numerator of the first term are multiplied by x.
The second term is multiplied by (x-6)/(x-6).
Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term. In the same way as d is carried over from b, e is carried over from c.
We factor out the (x+6) from the numerator and denominator.
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Simplify the expression. Write your answer as a power.
6¹⁰/6⁴
The simplified expression is
Answers
Answer:
The answer is 6^6
Step-by-step explanation:
When you divide exponents, you actually substract the exponent from the equation
Answer:
[tex]6^4[/tex]
Step-by-step explanation:
Recall the exponent quotient rule [tex]\displaystyle \frac{x^a}{x^b}=x^{a-b}[/tex]
This means that [tex]\displaystyle \frac{6^{10}}{6^4}=6^{10-6}=6^4[/tex]
Sharon brought $19.50 to the state fair. She bought a burger, a souvenir, and a pass. The burger was 1/3 as much as the souvenir, and the souvenir cost 1/2 the cost of the pass. Sharon had $2.00 left over after buying these items.
What was the cost of each item?
Answers
The cost of pass is $10.5, the cost of burger is $1.75, and the cost of souvenir is $5.25 if the Sharon brought $19.50 to the state fair.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the cost of the pass is $x
The souvenir cost 1/2 the cost of the pass, which is x/2
The burger was 1/3 as much as the souvenir, which is (1/3)(x/2) = x/6
x + x/2 + x/6 + 2 = 19.50
x = 21/2
x = $10.5
The cost of pass = $10.5
The cost of burger = $1.75
The cost of souvenir = $5.25
Thus, the cost of pass is $10.5, the cost of burger is $1.75, and the cost of souvenir is $5.25 if the Sharon brought $19.50 to the state fair.
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What is the measure of each angle of a regular 13-gon if necessary round to the nearest tenth
Answers
[tex]\textit{sum of all interior angles in a regular polygon}\\\\ \theta n=180(n-2) ~~ \begin{cases} \theta =\stackrel{degrees}{angle}\\ n=\stackrel{side's}{number}\\[-0.5em] \hrulefill\\ n=13 \end{cases}\implies \theta (13)=180(13-2) \\\\\\ 13\theta =180(11)\implies 13\theta =1980\implies \theta =\cfrac{1980}{13}\implies \theta \approx 152.3^o[/tex]
PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answers
Answer:
The correct answer is the last one, [tex]\frac{\pi }{6}[/tex].
Step-by-step explanation:
Assuming you need this urgently so I won't explain.
Hope this helps:) Goodluck!
Answer:
5π/6, 7π/6
Step-by-step explanation:
Solving :
cos⁻¹ (-[tex]\frac{\sqrt{3} }{2}[/tex])
cos⁻¹ (-cos30°)
cos 30° is negative in Quadrant II and Quadrant III
Value in QII :
cos (180° - 30°)cos (150°)5π/6Value in QIII :
cos (180° + 30°)cos (210°)7π/6The answer is 5π/6, 7π/6
