Answer:
There are 6 ways to run 10 m between two cones of the four cones giving a maximum available distance to run as 60 meters
Step-by-step explanation:
The parameters given are
Distance between two cones = 10 m
Number of cones = 4
Therefore, number of ways to choose two 10 m distances (distance between two cones) from the four cones = [tex]\binom{4}{2}[/tex] = 6
Hence there are only six 10 m distances to run between two cones which gives a maximum distance available to run as 60 m.
What is 2 with an exponent of -2 equal to?
Answer:
[tex] \boxed{\frac{1}{4} } [/tex]
Step-by-step explanation:
[tex]{2}^{ - 2} = \frac{1}{ {2}^{2} } \\ \\ \: \: \: \: \: \: \: \: \: = \frac{1}{4} [/tex]
[tex] Negative \: exponent \\ \\ = > {a}^{-x} = \frac{1}{{a}^{x}} [/tex]
Answer:
[tex]=\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]2^{-2}\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\2^{-2}=\frac{1}{2^2}\\=\frac{1}{2^2}\\2^2=4\\=\frac{1}{4}[/tex]
Find the equation of the circle whose center and radius are given. center ( 7, -3), radius = √7
Answer & Step-by-step explanation:
The equation of a circle is...
[tex](x-x1)^2+(y-y1)^2=r^2[/tex]
So all we have to do is plug in the numbers we are given.
So, the equation of the circle is (x - 7)² + (y + 3)² = √7²
Answer:
[tex](x - 7)^{2} + (y + 3)^{2} = 7[/tex]
Step-by-step explanation:
Just finished this quiz and checked the answer key.
Hope this helps
Write each statement as an algebraic expression. The quotient of the square of a number n and the cube of n increased by 5.
Will get brainiest answer
Answer:
n² / (n³ + 5)
An integer is chosen at random from first hundred natural numbers. The probability that the integer chosen the multiple of 5 is
Answer: 0.2
Step-by-step explanation:
The first hundred natural numbers are 1 to 100.
Now, the numbers that are multiples of 5 are the numbers that end in 5 or 0, so we have:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
So in the range, we have 20 multiples of 5.
Now, when we select at random, each number has the same probability of being selected, then the probability of randomly selecting a multiple of 5 is equal to the number of multiples of 5 divided the total number of options in the set.
we have 20 multiples of 5, and in the set we have a total of 100 numbers, then the probability is:
P = 20/100 = 0.2
At a sale , dresses were sold for 35% of their original price. If the dresses originally cost 40$ each how much did a dress cost on sale
Answer:
$ 14
Step-by-step explanation:
$ 40 --- 100%
$ x --- 35%
x = 40*35/100 = 14
Which equation is equivalent to 4 x = t + 2
Answer:
Its supposed to be x = s
like its in the picture
So we divide both sides by 4
we get t+2 / 4
That means the answer is C
Answer:
the correct answer for this question is c. s= t+2/4
source. edge.
What time is it if half of what has already passed remains until the end of today?
Answer:
4 p.m.Step-by-step explanation:
We know that a day contains 24 hours in total.
The time already passed will be represented by [tex]x[/tex].
The remaining time would be [tex]\frac{x}{2}[/tex], becasye half of what has already passed remains until the end of the day.
Basically, the sum of these two expression gives 24 hours in total.
[tex]x + \frac{x}{2} =24\\\frac{3x}{2}=24\\ x=16[/tex]
Therefore, the actual time is 4 p.m.
Paul needs to find 310% of 72%. which expression should he use?
Answer:
2.232, or 223.2%
Step-by-step explanation:
(3.1)(0.72)
Answer:
B
Step-by-step explanation:
i took the test and got it right
Need help with question B asap pls will give brainiest and high points
Answer:
x = 16
Step-by-step explanation:
(b)
Since the triangles are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{CB}{DE}[/tex] = [tex]\frac{AC}{AD}[/tex] , substitute values
[tex]\frac{x}{20}[/tex] = [tex]\frac{8}{10}[/tex] ( cross- multiply )
10x = 160 ( divide both sides by 10 )
x = 16
Sierra Movie Theater sold 189
tickets for $9.25 each on Friday
night. What was the total amount
of ticket sales for that night?
Answer:
$1748.25
Step-by-step explanation:
Multiply:
($9.25/ticket)(189 tickets) = $1748.25 (total amount of ticket sales)
Morgan wants to save to buy a car and decides to open a banking account that is offering an interest rate of 4.5% compounded annually. How much will Morgan have in the account after 5 years if $7,000 is deposited today?
Answer:
He'll have approximately $8723.3 on his account in five years.
Step-by-step explanation:
Since the amount invested is compounded yearly, we can calculate the amount he'll have in 5 years by using the following expression:
[tex]M = C*(1 + r)^t[/tex]
Where M is the final amount, C is the invested money, r is the interest rate and t is the time elapsed in years. Applying the data from the problem we have:
[tex]M = 7000*(1 + \frac{4.5}{100})^5\\M = 7000*(1 + 0.045)^5\\M = 7000*(1.045)^5\\M = 8723.274\\[/tex]
He'll have approximately $8723.3 on his account in five years.
1
The table shows the cost y (in dollars) of x cold drinks.
Drinks, x 0 2 4
6
0
Cost y
6
3
9
Graph the data
Answer: Attached graph in the explanation.
Step-by-step explanation:
Hi, to answer this question we have to graph points in a Cartesian coordinate graph.
The horizontal axis is called the x-axis, and the vertical axis is the y-axis.
To graph a point, first we have to locate its position on the x-axis, and then find its location on the y-axis, and finally plot where these meet.
For example, to plot the point (2, 3), we have to find the positive 2 on the x-axis and the positive 3 on the y-axis.
Finally when we have plotted all the points, we simply link all the points to form a line.
What is the perimeter of the trapezoid?
Answer:
17
Step-by-step explanation:
2+7+4+4 = 17
Add all of the sides hence perimeter
calculate using unit squares
Help me out with this^^
Answer: 76 m^2
Step-by-step explanation:
[tex]A=\frac{4+15}{2}*8 = 76\;m^2[/tex]
Carmen is dividing her rectangular garden with a diagonal fence. The length of the garden is 11 feet and the diagonal is 19 feet. Write an equation that can be used to find the width of the garden. Then find the width of the garden. Round to the nearest tenth, if needed.
Answer:
Equation: 19^2 - 11^2 = width
Step-by-step explanation:
use Pythagorean theorem to find the width.
so, 19^2 - 11^2 = 361-121= 240.
so width = square root of 240
Answer:
19^2 - 11^2 = width
Step-by-step explanation:
The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farms.
Complete Question:
The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farmers.
According to the plot, which value is the best estimate of the correlation coefficient of the data?
A. -0.2 B. -0.9 C. 0.9 D. 0.2
*See attachment for the scatter plot.
Answer:
C. 0.9
Step-by-step explanation:
The scatter plot given in the graph attached shows a relation between oranges picked and the number of lemon that is harvested as the line slopes in an upward direction. This suggest a positive correlation coefficient, because as the variable on the Y-axis increases, the variable on the X-axis also increases in the same direction. Hence, our correlation coefficient would be a positive value.
Also, the correlation coefficient would be close to 1, because the points on the scatter plot seem clustered and aligned along the line slope.
Therefore, the best estimated value for the correlation coefficient would be C. 0.9.
Inscribed Angles - Find the value of x - WILL GIVE BRAINLIEST!
Answer:
137
Step-by-step explanation:
The degrees of the inscribed arc of 43 is 43 * 2 = 86
Since the total degrees in a circle is 360, x is equal to
(360-86)/2 = 137
Answer:
x = 137
Step-by-step explanation:
opposite angles are supplementary when they are in a quadrilateral inscribed in a circle
43+x = 180
Subtract 43 from each side
x =180-43
x=137
Use the figure below to complete the following problem Given : R,S,T are midpoints of AC, AB, and CB.
Answer:
RT || AB
Step-by-step explanation:
The answer to your question is that segment RT is parallel to AB.
And for those of you who encounter AB || ?
The answer is RT.
Both questions are rewrites.
RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
R, S, and T are midpoints of AC, AB, and CB.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
A line is parallel to the right side if it divides any two triangles sides in a similar ratio.
RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.
More about the triangle link is given below.
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Which expression is equivalent to StartRoot 400h^8 j^4 k^6 EndRoot?
Answer:
[tex]20h^4j^2k^3[/tex]
Step-by-step explanation:
[tex]\sqrt{400h^8j^4k^6}[/tex]
Since it's square root, you divide the exponents by 2.
[tex]20h^4j^2k^3[/tex]
Answer:
[tex]20h^{4} j^{2} k^{3}[/tex]
Step-by-step explanation:
Mrs. Smith’s students are trying to guess her age. She gives them 3 clues: (1) “My age is a factor of 60.” (2) “My age is a multiple of 5.” (3) “My age is more than 20 but less than 50.”
a
How old is Mrs. Smith?
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
If angle P= 50 then angle R=
Answer:
it matters what the whole angles is.
Step-by-step explanation:
for example if it's a 180 degree angle P=50 then R would equal to 130 degrees
second example if P=50 and it's a 90 degree angle R=40
For anyone on OW, it's 130.
What are the two main methods for solving a system of equations?
Answer:
substitution, and 2) elimination
Step-by-step explanation:
Step-by-step explanation:
elimination
substitution
Sue invests £9000 in an account for one year.
At the end of the year, interest is added to her account.
Sue pays tax on this interest at a rate of 20%
She pays £30.24 tax.
Work out the percentage interest rate for the account.
Answer:
£151.20
Step-by-step explanation:
20%= 100%divided by 5
To find 100% from 20% you x by 5
so you times 30.24 by 5
30.24x 5 = 151.2
So the answer is £151.20
interest percentage rate would be 1.6754%
The interest rate for the account is 1.68%
What is interest rate?The interest rate is the amount a lender charges a borrower and is a percentage of the principal the amount loaned.
Given that,
Sue invests £9000 in an account for one year.
She pays £30.24 at a rate of 20%
So, 20% of the interest = £30.24
Let the interest be x,
X0.2 = 30.24
X = £151.2
The total interest was = £ 151.2
The rate R at which generated this interest =
R = (100 × 151.2)/(1 × 9000)
R = 15120/9000
R = 1.68%
Hence, the interest rate = 1.68%
Learn more about interest rate, click;
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Find the volume of prism
Pls!! Show how you got the volume pls
A piece of timber is x cm long. how long would 10 pieces of timber be put together in a line?
Answer:
10x cm
Step-by-step explanation:
e.g.
5cm cm x 10 = 50cm
--> 10x cm
The length of the 10 pieces together will be, 10x.
What is length?The length is the distance between the extreme ends of the object.
It is known that the length of one piece of timber is x cm.
Multiply 10 and x to determine the total length of 10 pieces of timber together.
10·x=10x
Thus, the total length of 10 pieces of timber will be 10x cm.
To learn more about length click:
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I need help please :((
Answer:
Function, passes the vertical line test
Step-by-step explanation:
The graph is a function. The points have a one to one correspondences as demonstrated by the vertical line test. Since only one point on the graph is touching a vertical line at a time, it will pass the vertical line test
I really need help with this question
Step-by-step explanation:
∠1 = ∠4 = 57° (vertical angles)
∠6 = 123° (same side interior angles are supplementary)
Answer:
The answer is 123
Step-by-step explanation:
Angle 5 is the same measure as angle one, and a straight line measures 180 degrees. Subtract 57 from 180, and you get the remaining angle. 123 degrees.
What is the image of (9,-5) after a dilation with the scale factor of 2.5?
O (23, 12)
O (22.5, -12.5)
O (-22.5, 12.5)
O (18, 12)
Answer:
(B) (22.5, -12.5)
Step-by-step explanation:
When the point [tex](9,-5)[/tex] is dilated by with a scale factor of 2.5
In a dilation, when its scale factor is less than 1, the pre-image will be lesser than the image.
However, when the scale factor is greater than 1, the pre-image will be greater than the image.
The Image of the dilation of [tex](9,-5)[/tex] with a scale factor of 2.5 is therefore:
[tex](9*2.5,-5*2,5)\\=(22.5, -12.5)[/tex]
The correct option is B.
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer:
C
Step-by-step explanation:
Since the graph hits 0 at x = 0, your y intercept is 0.
The graph is decreasing which means you have a negative slope.
They gave you a coordinate so use it to find the slope.
[tex]\frac{1-0}{-3-0} = \frac{-1}{3}[/tex]
That's your slope.
C is the correct answer.
y=-1/3x
mark brianliest if my answer suits ur question.