The owner of a music store gathered data from several schools about the number of students in their concert and marching bands. The scatter plot shows the data she gathered and the line of best fit
Answers
Answer:
25 students
Step-by-step explanation:
What we need to do here is to do some tracing. We simply need to go to the point on the concert band where we have the value 35.
After sighting this value, we then make a tracing to the line of best fit. Then from this line of best fit, we trace the point on the matching band that correlated with the value 35.
If properly traced, we would arrive at a value of 25 on the marching band
Related Questions
What is the product of 7/16 and -6/13 I will make you the brainlest
Answers
Answer:
[tex]\frac{7}{16} *\frac{-6}{13} = \frac{-42}{208}[/tex]
Step-by-step explanation:
[tex]\frac{7}{16} *\frac{-6}{13} = \frac{-42}{208}[/tex] . First multiply 7*-6=-42.
Then do 16*13=208.
Simplify by dividing both by 2.
You get [tex]\frac{-42}{208}=\frac{-21}{104}[/tex].
Your final simplified answer is [tex]\frac{-21}{104}[/tex]
I hope this helps!
Kelly needed to use 3 pounds 15 ounces of clay to make a bowl and twice as much to make a vase. If she had a 12-pound bag of clay available, did she have enough clay to make both items?
Answers
Answer:
yes
Step-by-step explanation:
so first you would convert pounds into ounces (It's easier for me)
and there are 16 ounces in one pound so for 3 pounds you would have 48 ounces then add the 15 ounces to get 63 ounces and if she needs twice as much to make a vase she would need 126 ounces for a vase then you would add the other 63 to that to get a total of 189 ounces of clay in order to create the bowl and vase, and in order to find out how many ounces are in a 12 pound bag you would just multiply 12 by 16 to get 192 ounces. So yes she does have enough clay to make a bowl and a vase.
In triangle $ABC$, $AB = BC = 25$ and $AC = 40$. What is $\sin \angle ACB$?
Answers
Answer:
Sine angle of <ACB = 38.68°
Step-by-step explanation:
Hello,
To solve this problem, we need a good representation of the sides and the angle.
See attached document for better illustration.
Assuming it's a right angled triangle,
AC = hypothenus
AB = opposite
BC = adjacent
AC = 40
BC = 25
AB = 25
From trigonometric ratios
Sinθ = opposite/ hypothenus
Sinθ = AB / AC
Sinθ = 25 / 40
Sinθ = 0.625
θ = sin⁻¹0.625
θ = 38.68°
Sine angle of <ACB = 38.68°
Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x = 1 x = negative 1 and x = 1 x = 0, x = negative 1, and x = 1
Answers
Answer:
x = 1
Step-by-step explanation:
Using the rules of logarithms
log [tex]x^{n}[/tex] ⇔ n log x
[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
3[tex]log_{2}[/tex] (2x) = 3
[tex]log_{2}[/tex] (2x)³ = 3
(2x)³ = 2³
8x³ = 8 ( divide both sides by 8 )
x³ = 1 ( take the cube root of both sides )
x = 1
Answer:
x=1 is the correct answer
Step-by-step explanation:
got it right on edge!!!!
Please answer this question now only answer if you know the answer
Answers
Answer:
v = 10.997
Step-by-step explanation:
For this, simply use the law of cosines.
v^2 = (16)^2 + (6)^2 - 2(16)(6)cos(27)
v^2 = 256 + 36 - 171.073
v^2 = 120.927
v = 10.997
Cheers.
Answer:
[tex]\boxed{11}[/tex] unitsStep-by-step explanation:
To solve the length of UW, you can use the Law of Cosines for a SAS case:
[tex]\boxed{v^2=\sqrt{u^2+w^2-2(uw)cos(V)} }[/tex]
Substitute the values and solve with a calculator:
[tex]\boxed{\sqrt{16^2+6^2-2(16*6)cos(27)} = 10.99666983 \approxeq 11}[/tex]
The length of UW is 11 units.
Which two features of igneous rocks are determined by their cooling rate?
color and shininess
shininess and hardness
hardness and crystal size
crystal size and rock texture
Answers
Answer:
crystal size and rock texture D
Step-by-step explanation:
:)
Hence, the option (D) is the correct answer i.e., crystal size and rock texture.
What is the texture?
The texture is defined as a tactile quality of an object's surface. It appeals to our sense of touch, which can evoke feelings of pleasure, discomfort, or familiarity.
The texture of an igneous rock is dependent on the rate of cooling of the melt slow cooling allows large crystals to form, fast coolng yields small crystals.
Hence, the option (D) is the correct answer i.e., crystal size and rock texture.
To know more about the texture
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1. Following is the Receipt and Payment A/c. of a club for the year ended 31-03-2014.
Receipt ₹ Payment ₹
To Balance b/d 75,000 By Salaries 22,000
To Subscription By office expenses 8,000
2012-13 35,000 By Sports equipment
2013-14 9,50,000 (Purchased on 1-10-2013) 6,00,000
2014-15 55,000 10,40,000 By Telephone charges 12,000
To Donation 90,000 By Electricity charges 18,000
To Entrance Fees 60,000 By Travelling Expenses 6,000
To Locker rent 20,000 By 10% Fixed Deposit
To Donation for Building 1,50,000 (made on 1-07-2013) 7,00,000
By balance c/d. 69,000
14,35,000 14,35,000
Additional information:
a) Outstanding subscription for 2013-14 ₹80,000. Outstanding salaries as on 1-04-2013 were ₹2,000 and as on 31-03-2014 were ₹4,000.
b) One third of Entrance fee to be treated as General income.
c) Locker rent rate is ₹2,000 per month.
d) Depreciation on sports equipment 10% p.a.
Prepare Income and Expenditure A/c. for the year ending 31-03-2014.
Answers
Answer:
Excess of income over expenditure is ₹1,185,500.
Step-by-step explanation:
Note: The data in this question are merged together. They are therefore sorted before answering this question. See the attached pdf file for the sorted question.
The question is now answered as follows:
Question: Prepare Income and Expenditure A/c. for the year ending 31-03-2014.
Answer and explanation:
Note: See the attached excel file for the Income and Expenditure A/c. for the year ending 31-03-2014.
Both receipts and payments account and income and expenditure account are prepared by not-for-profit organizations such as charity organizations, human right campaign, clubs, etc.
Receipts and payments account is an account gives a summary of all the cash transitions, cash received and paid, that the organization engaged in during a particular period. It is similar to the cash book prepared by profit making organizations. The receipts and payments account is prepared in or to determine the balance of cash in hand or at bank or bank overdraft at the end of the period.
Income and expenditure account is an account gives a summary of all incomes and expenses of an organization during a particular period. It is similar to the trading and profit and loss account prepared by profit making organizations. The income and expenditure account is prepared in order to determine whether there is a surplus or a deficit balance during the period.
Find: ∠a ∠b ∠c Plaese help
Answers
Answer:
i believe a=105, b=29, and c=45
help please thank you
Answers
Answer:
(0,-3)
Step-by-step explanation:
The volume of a cylinder is approximately 72 feet cubed. Which is the best approximation of the volume of a cone with the same base and height as the cylinder? 24 feet cubed 216 feet cubed 24 pi feet cubed 216 pi feet cubed
Answers
Hey there! I'm happy to help!
To find the volume of a cylinder, you multiply the base by the height and then divide by three. The volume of a cone is the same as the volume of a cylinder with the same dimensions divided by three.
So, since a cone's volume is 1/3 of that of a cylinder, we just divide 72 by 3!
72/3=24
Therefore, the volume of the cone is 24 feet cubed.
Have a wonderful day! :D
Answer: its 24.
Step-by-step explanation:
Help asap please and please explain so I could try the rest on my own
Answers
Answer:
7
Step-by-step explanation:
It has a 45 45 90 ratio, so if the hypotenuse is 7 root 2, then the two sides have to be 7.
Suppose a geyser has a mean time between eruptions of 72 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 23 minutes. Complete parts (a) through (e) below.
(a) What is the probability that a randomly selected time interval between eruptions is longer than 82minutes? The probability that a randomly selected time interval is longer than 82 minutes is approximately nothing. (Round to four decimal places as needed.)
(b) What is the probability that a random sample of 13 time intervals between eruptions has a mean longer than 82 minutes? The probability that the mean of a random sample of 13 time intervals is more than 82 minutes is approximately nothing. (Round to four decimal places as needed.)
(c) What is the probability that a random sample of 34 time intervals between eruptions has a mean longer than 82 minutes? The probability that the mean of a random sample of 34 time intervals is more than 82 minutes is approximately nothing. (Round to four decimal places as needed.)
(d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. Fill in the blanks below. If the population mean is less than 82 minutes, then the probability that the sample mean of the time between eruptions is greater than 82 minutes ▼ increases decreases because the variability in the sample mean ▼ decreases increases as the sample size ▼ decreases. increases.
(e) What might you conclude if a random sample of 34 time intervals between eruptions has a mean longer than 82 minutes? Select all that apply.
A. The population mean may be less than 72.
B. The population mean must be more than 72, since the probability is so low.
C. The population mean cannot be 72, since the probability is so low.
D. The population mean is 72, and this is just a rare sampling.
E. The population mean may be greater than 72.
F. The population mean is 72, and this is an example of a typical sampling result.
G. The population mean must be less than 72, since the probability is so low.
Answers
Answer:
(a) The probability that a randomly selected time interval between eruptions is longer than 82 minutes is 0.3336.
(b) The probability that a random sample of 13-time intervals between eruptions has a mean longer than 82 minutes is 0.0582.
(c) The probability that a random sample of 34 time intervals between eruptions has a mean longer than 82 minutes is 0.0055.
(d) Due to an increase in the sample size, the probability that the sample mean of the time between eruptions is greater than 82 minutes decreases because the variability in the sample mean decreases as the sample size increases.
(e) The population mean must be more than 72, since the probability is so low.
Step-by-step explanation:
We are given that a geyser has a mean time between eruptions of 72 minutes.
Also, the interval of time between the eruptions be normally distributed with a standard deviation of 23 minutes.
(a) Let X = the interval of time between the eruptions
So, X ~ N([tex]\mu=72, \sigma^{2} =23^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean time = 72 minutes
[tex]\sigma[/tex] = standard deviation = 23 minutes
Now, the probability that a randomly selected time interval between eruptions is longer than 82 minutes is given by = P(X > 82 min)
P(X > 82 min) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{82-72}{23}[/tex] ) = P(Z > 0.43) = 1 - P(Z [tex]\leq[/tex] 0.43)
= 1 - 0.6664 = 0.3336
The above probability is calculated by looking at the value of x = 0.43 in the z table which has an area of 0.6664.
(b) Let [tex]\bar X[/tex] = sample mean time between the eruptions
The z-score probability distribution for the sample mean is given by;
Z = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean time = 72 minutes
[tex]\sigma[/tex] = standard deviation = 23 minutes
n = sample of time intervals = 13
Now, the probability that a random sample of 13 time intervals between eruptions has a mean longer than 82 minutes is given by = P([tex]\bar X[/tex] > 82 min)
P([tex]\bar X[/tex] > 82 min) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] > [tex]\frac{82-72}{\frac{23}{\sqrt{13} } }[/tex] ) = P(Z > 1.57) = 1 - P(Z [tex]\leq[/tex] 1.57)
= 1 - 0.9418 = 0.0582
The above probability is calculated by looking at the value of x = 1.57 in the z table which has an area of 0.9418.
(c) Let [tex]\bar X[/tex] = sample mean time between the eruptions
The z-score probability distribution for the sample mean is given by;
Z = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean time = 72 minutes
[tex]\sigma[/tex] = standard deviation = 23 minutes
n = sample of time intervals = 34
Now, the probability that a random sample of 34 time intervals between eruptions has a mean longer than 82 minutes is given by = P([tex]\bar X[/tex] > 82 min)
P([tex]\bar X[/tex] > 82 min) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] > [tex]\frac{82-72}{\frac{23}{\sqrt{34} } }[/tex] ) = P(Z > 2.54) = 1 - P(Z [tex]\leq[/tex] 2.54)
= 1 - 0.9945 = 0.0055
The above probability is calculated by looking at the value of x = 2.54 in the z table which has an area of 0.9945.
(d) Due to an increase in the sample size, the probability that the sample mean of the time between eruptions is greater than 82 minutes decreases because the variability in the sample mean decreases as the sample size increases.
(e) If a random sample of 34-time intervals between eruptions has a mean longer than 82 minutes, then we conclude that the population mean must be more than 72, since the probability is so low.
Answer:
The probability that a randomly selected time interval between eruptions is longer than 82minutes = [tex]0.3336[/tex]The probability that a random sample of 13 time intervals between eruptions has a mean longer than 82 minutes = [tex]0.0594[/tex]The probability that a random sample of 34 time intervals between eruptions has a mean longer than 82 minutes = [tex]0.0057[/tex]Step-by-step explanation:
From the given data
mean, u = 72
Standard deviation [tex]\rho[/tex] = 23
A) Probability that a randomly selected time interval between eruptions is longer than 82minutes
[tex]P (x > 82) = P[\frac{x-u}{\rho} > \frac{82-72}{23}]\\\\P (x > 82) = P[z > 0.43]\\\\P (x > 82) = 0.3336[/tex]
B)
[tex]P (x > 82) = P[\frac{x-u}{\frac{\rho}{\sqrtn}} > \frac{82-72}{\frac{23}{\sqrt{13}}}]\\\\P (x > 82) = P[z > 1.5676]\\\\P (x > 82) = 0.0594[/tex]
C)
[tex]P (x > 82) = P[\frac{x-u}{\frac{\rho}{\sqrtn}} > \frac{82-72}{\frac{23}{\sqrt{34}}}]\\\\P (x > 82) = P[z > 2.5351]\\\\P (x > 82) = 0.0057\\\\[/tex]
D) If the mean is less than 82minutes, then the probability that the sample mean of the time between eruptions is greater than 83 minutes decrease because the variability in the sample mean decrease as the sample size increases
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What is the y-intercept of the function y=4-5x?
Answers
Answer:
4
Step-by-step explanation:
y=mx+b
b=y-intercept.
In this case...
mx=-5<-- this is the slope of the line.
b=4<-- y intercept.
Hope this helps, any further questions, please feel free to ask.
what is 2 add 1 PS first person to get it correct gets brainiest and thank
Answers
Hey There!!
Your answer will be 3.
Step-by-step explanation:
Because, 2 + 1 = 3
Answer:
Hey!
Your answer is 3!
Step-by-step explanation:
2 + 1 = 3!
Hope this helps!
:>
***Will mark all right answers brainliest*** A certain type of bacteria is being grown on a Petri dish in the school’s biology lab. Inez does some measurements and determines that the area of the bacteria covering the Petri dish is doubling each day. She started the bacteria colony on February 9 and predicts that it will cover the entire Petri dish by February21 . If 100% of the Petri dish is covered after 12 days have passed, what percentage was covered on the starting day? Use your equation from part (b) plz explain
Answers
Answer:
On day 0 (starting day), the percentage of petri dish occupied by bacteria was 2.44%
Step-by-step explanation:
Rate of growth = 2 (i.e. doubles every day)
Petri dish was filled to 100% on day 12.
Let
P(0) = percentage of Petri dish occupied on day 0, then
equation of percentage a function of time in x days
P(x) = P(0)*r^x ......................(1)
where
100% = P(12) = p(0) * 2^12 = 4096 P(0)
=>
P(0) = 100% / 4096 = 0.0244%
Next, to find percentage on February 14 (Valentine's day!)
Day 0 is February 9, so February 14 is the fifth day, so x=5.
Substitute x=5 in equation (1) above,
P(x) = P(0)*r^x
P(5) = P(0)*2^5
P(5) = 0.0244*2^5 = 0.0244*32 = 0.781%
Ans. the 0.781% of the petri dish was filled with bacteria after 5 days on February 14th.
Answer:
0.0244%
Step-by-step explanation:
A = p(1 + r)^t
The future amount is 100, for 100 percent. From February 9 to February 21, there are 12 days. The rate of growth is 100% since the amount doubles each day. t = 12, for 12 days. p = beginning percentage.
100 = p(1 + 1)^12
log 100 = log [p(1 + 1)^12]
2 = log p + 12 log 2
log p = 2 - 12 log 2
p = 10^(2 - 12log 2)
p = 0.0244
Answer 0.0244%
La suma de dos números es 50 y la diferencia es 22. ¿Cuáles son los números?
Answers
Answer:
(3,2)
Step-by-step explanation:
Just took the test
How many single-scoop cones could be made from a choice of 2 types of cones, 3 flavors of ice cream, and optional toppings of peanuts and/or sprinkles?
Answers
Answer:
Number of different cones made = 18
Step-by-step explanation:
Given:
Types of cone = 2
Number of flavors = 3
Number of toppings = 2
Find:
Number of different cones made
Computation:
Number of different toppings = 1(peanuts) + 1(sprinkles) + 1(both) = 3
Number of different cones made = Types of cone × Number of flavors × Number of different toppings
Number of different cones made = 2 × 3 × 3
Number of different cones made = 18
Triangle RST was dilated with the origin as the center of dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34. The coordinates of the vertices of triangle RST are given. You can use the scale factor to find the coordinates of the dilated image. Enter the coordinates of the vertices of triangle R'S'T' below. (Decimal values may be used.)
Answers
Answer:
Multiply every coordinate from the old one by 0.75
Step-by-step explanation:
I just did this question so I didn't need your photo. And I got it right. Hope this helps anyone else stuck on a similar question.
The rule is to multiply the old coordinates/sides by the scale factor, if its a fraction convert it to a decimal and then multiply like I did.
Answer:
x, y ----> 3/4x, 3/4y
Step-by-step explanation:
What is the angle of rotation from figure A to figure A? Assume that the center of rotation is the origin.
A. 360° clockwise
B. 270° clockwise
C. 180° clockwise
D. 90° clockwise
Answers
Answer:
the answer is C. 180°clockwise
calculate the area and leave your answer in term of pie
Answers
Answer: [tex]2.25\sqrt{3}[/tex]
Not sure what you mean by terms of pi, unless you want us to find the area of the sector, not the triangle.
Step-by-step explanation:
Assuming you mean the area of the triangle...
First draw an altitude from the 120 degree angle to the opposite base. You will find that the altitude will also be a median. This forms 2 30-60-90 right triangles. Thus, the height of the altitude is 1.5 and the base of the triangle is 1.5*root3. Thus, the base of the triangle is [tex]3\sqrt{3}[/tex] and the height is 1.5. Thus, the area of the triangle is [tex]2.25\sqrt{3}[/tex]
Help please!!!!!!!!!!!!
Answers
Answer:
1/3
Step-by-step explanation:
Let's say you picked the blue one first. You have a 2/3 chance of doing that, and now you're left with 2. Now, to pick the green one, you have a 1/2 chance. Multiply that and you see that you have a 1/3 chance of picking it last.
Answer:
1/3.
Step-by-step explanation:
The probability that the red cube WON'T be picked on the first draw is 2/3. This is because there is a 1/3 probability of picking a green cube, added to a 1/3 probability of picking a blue cube.
The probability that the red cube WON'T be picked on the second draw is 1/2. This is because one cube has already been picked, so there are two remaining. You can only pick one of the two.
(2/3) * (1/2) = (2 * 1) / (3 * 2) = 2 / 6 = 1/3.
Hope this helps!
can someone explain how to use sin cos and tan on right angled triangles
Answers
Round this however you need to
=================================================
Explanation:
The reference angle is 56 degrees. The side 26.5 is adjacent to this angle as it is the leg closest to the angle (in contrast to the opposite leg or opposite side that is furthest from the reference angle)
The hypotenuse is d. The hypotenuse is always the longest side. The longest side is always opposite the largest angle of a triangle.
We will use the cosine ratio as it is the ratio of adjacent over hypotenuse
cos(angle) = adjacent/hypotenuse
cos(56) = 26.5/d
d*cos(56) = 26.5
d = 26.5/cos(56)
d = 47.3897287242421
You use your calculator for the last step shown above. Make sure your calculator is in degree mode. Round that value however you need to.
Here is the formula of sin cos tan :
sin x = opposite/hypotenuse
cos x = adjacent / hypotenuse
tan x = opposite / adjacent
d = hypotenuse
x = the angle known in your pic
like example if in your picture:
adjacent = 26.5
if want to find the d
cos x = adjacent / hypotenuse
cos 56 = 26.5 / d
d = 26.5 : cos(56)
d = 47.390 (3 significant figures)
and if want to find the opposite
tan x = opposite/adjacent
tan 56 = opposite/ 26.5
opposite = 26.5 × tan(56)
opposite = 39.288
-> Sorry if im wrong
29 point plus brainiest
The function f(x) = −x2 − 7x + 30 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?
x = 10; the diver hits the water 10 feet away horizontally from the board.
x = 3; the diver hits the water 3 feet away horizontally from the board. x = 10; the diver jumps in the pool at 10 feet per second.
x = 3; the diver jumps in the pool at 3 feet per second.
Answers
this is your answer..................
A spinner has six spaces that are all the same size. Three spaces are yellow, two are red, and one is blue. If the spinner is spun 150 times, it should land on yellow about ___ times, on red about ___ times, and on blue ___ times.
Answers
The spinner should land on yellow about 75 times, on red about 50 times, and on blue about 25 times.
How to solve the probabilityYellow: 3 spaces out of 6, so the probability is 3/6 = 1/2
Red: 2 spaces out of 6, so the probability is 2/6 = 1/3
Blue: 1 space out of 6, so the probability is 1/6
multiplying the probability of each color by 150:
Yellow: 1/2 * 150 = 75 times
Red: 1/3 * 150 = 50 times
Blue: 1/6 * 150 = 25 times
Terefore The spinner should land on yellow about 75 times, on red about 50 times, and on blue about 25 times.
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A climbing structure needs to be built in the shape of a square-based pyramid. Look at the diagram below. What is the perimeter of the flat, orange shape? PLEASE HELP A GIRL OUT
Answers
Answer:
40 m
Step-by-step explanation:
The perimeter of the flat, orange shape is the sum of all the sides that forms a boundary around the shape.
The shape is made up of 4 triangles having 2 equal side lengths each, which surrounds the center square.
Each side length of the triangle, that forms a boundary round the shape = 5 m.
There are 8 of this equal side length.
Perimeter = 8(5m) = 40 m
Simplify: 34w-(-8w)
Answers
Answer: 42w
Step-by-step explanation:
Subtracting a negative is like adding.
Since two negatives equal a positive.
Select the correct answer. What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)? A. x2 + y2 − 4x + 2y + 1 = 0 B. x2 + y2 + 4x − 2y + 1 = 0 C. x2 + y2 + 4x − 2y + 9 = 0 D. x2 − y2 + 2x + y + 1 = 0
Answers
Answer:
x^2 +4x + y^2 -2y +1 =0
Step-by-step explanation:
First we need to find the radius
Since the y coordinate is the same, the radius is the difference in the x coordinate -2 - (-4) = -2+4 = 2
A circle can be written in the form
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x--2)^2 + (y-1)^2 = 2^2
(x+2)^2 + (y-1)^2 = 4
FOIL ing
x^2 +4x+4 + y^2 -2y +1 = 4
Combining like terms
x^2 +4x + y^2 -2y +5 -4 =0
x^2 +4x + y^2 -2y +1 =0
Answer and Step-by-step explanation:
Answer:
x^2 +4x + y^2 -2y +1 =0
Step-by-step explanation:
First we need to find the radius
Since the y coordinate is the same, the radius is the difference in the x coordinate -2 - (-4) = -2+4 = 2
A circle can be written in the form
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x--2)^2 + (y-1)^2 = 2^2
(x+2)^2 + (y-1)^2 = 4
FOIL ing
x^2 +4x+4 + y^2 -2y +1 = 4
Combining like terms
x^2 +4x + y^2 -2y +5 -4 =0
x^2 +4x + y^2 -2y +1 =0
In how many ways can you arrange 4 different colored balls? 4,8,4!,3!,5!
Answers
Answer:
We can arrange 4 different colored balls in 24 ways.
Step-by-step explanation:
We have to find the number of ways in which we can arrange 4 different colored balls.
Firstly, we have to decide that either we use Permutation or we use Combination.
A Permutation is used when the order of arranging the numbers matters while on the other hand, a combination is used when the order of arranging the numbers doesn't matter.
So, in our question; the ordering matters to us as a ball which is placed in the first place can't be put again put in other places.
Number of ways of arranging 4 different colored balls = [tex]^{4}P_4[/tex]
= [tex]\frac{4!}{(4-4)!}[/tex] {[tex]\because ^{n} P_r = \frac{n!}{(n-r)!}[/tex] }
= 4! = [tex]4 \times 3 \times 2\times 1[/tex]
= 24 ways
Hence, we can arrange 4 different colored balls in 24 ways.
11 POINTS! GEOMETRY!! Find the area of the composite function and explain how you broke the shape into pieces to find the area.
Answers
Answer:
370 mm²
Step-by-step explanation:
The area of this figure can be calculated by taking the whole figure as a full rectangle, and consider the part that is cut out from the middle of the shape as another rectangle.
Find the area of the cut-out part and subtract from the area of the full rectangular shape to get the area of the composite figure.
=>Area of full rectangular shape:
Length = 30 mm
Width = 15 mm
Area = L * B = 30*15 = 450 mm²
=>Area of the cut-out Rectangle part:
Length = 10 mm
Width = 8 mm
Area = 10*8 = 80 mm²
=>Area of composite figure = 450 mm² - 80 mm² = 370 mm²
Determine the solution to the following set of linear equations by using the graph below
a) 2x + y = 5
2x - 2y = 2
Answers
Answer:
(2,1)
Step-by-step explanation:
Well first we single out y or x in one of the equations,
we’ll use 2x + y = 5 and single out y.
2x + y = 5
-2x to both sides
y = -2x + 5
So we can plug in -2x + 5 into y in 2x - 2y = 2.
2x - 2(-2x + 5) = 2
2x + 4x - 10 = 2
combine like terms,
6x - 10 = 2
Communicarice property
+10 to both sides
6x = 12
divide 6 to both sides
x = 2
If x is 2 we can plug 2 in for x in 2x + y = 5.
2(2) + y = 5
4 + y = 5
-4 to both sides
y = 1
(2,1)
Thus,
the solution is (2,1).
Hope this helps :)