Answer: [tex]x=-10+\sqrt{7}\cos \theta\-,\quad y=0.5+\sqrt{7}\sin \theta[/tex]
Step-by-step explanation:
For a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex]
The parametric equation is [tex]x=h+r\cos a[/tex], [tex]y=k+r\sin a[/tex]
For center [tex](-10,\frac{1}{2})[/tex] and radius [tex]\sqrt{7}[/tex]
Parametric equation is
[tex]\Rightarrow x=-10+\sqrt{7}\cos \theta\\\Rightarrow y=0.5+\sqrt{7}\sin \theta[/tex]
In △LMN , the measures of the angles L, M, and N, respectively, are in the ratio 1:2:5. Find the measure of each angle.
Answer:
1- 22.5°
2- 45°
5- 112.5°
Step-by-step explanation:
[tex]180 \div 8 = 22.5[/tex]
[tex]22.5 \times 5 = 112.5[/tex]
[tex]22.5 \times 2 = 45[/tex]
[tex]22.5 \times 1 = 22.5[/tex]
What is the slope of the line?
Answer:
solpe=-1
Step-by-step explanation:
slope = (y2-y1/X2-X1)
(2,0) (0,2)
(2-0/0-2)
2/-2
slope= -1
Who could help me with this please and thank you
Answer:
x = number of students in each van = 16
y = number of students in each bus = 47
(bus, van) = (47, 16)
Step-by-step explanation:
Let
x = number of students in each van
y = number of students in each bus
This can be represented by the equation
7x + 6y = 394 (1)
3x + 12y = 612 (2)
Using elimination method
Multiply (1) by 2
14x + 12y = 788 (3)
3x + 12y = 612 (2)
Subtract (2) from (3) to eliminate y
14x - 3x = 788 - 612
11x = 176
x = 176/11
x = 16
Substitute x = 16 into (1)
7x + 6y = 394 (1)
7(16) + 6y = 394
112 + 6y = 394
6y = 394 - 112
6y = 282
y = 282/6
y = 47
x = number of students in each van = 16
y = number of students in each bus = 47
(bus, van) = (47, 16)
If you are considering renting a place for $1,500 a month, and you are one of 3 people on the lease (split evenly, 3 ways), how much does your gross income need to be? (Hint: First, figure out what your portion of the rent is)
a.
$1,800
b.
$1,500
c.
$1,200
d.
$900
e.
$600
Answer:
our lease is $1500 which is b.
What is the domain and Range of the piecewise function?
A. All real numbers
B. X<0, X>4
C. -inf < x < -2, 0< x<4, x>4
Answer:
option A all real numbers
Step-by-step explanation:
domain is the all possible "X" values
and X has all real values
All the real numbers of X are domain and range of piecewise function .
What is piecewise function?
A Piecewise Function is a merge of several functions in a single graph. Each function takes a part of the x axis of the graph.
Graph
Domain: The domain of a piecewise-defined function is the union of its subdomains.
Range :The range of a piecewise-defined function is the union of the ranges of each subfunction over its subdomain.
Now,
Straight line graph of x having equation : y = mx + cconstant value of x : x= yexponential curve of x .Thus the domain and range of piecewise function is all real numbers .
Know more about piecewise function,
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Determine wether each equation is correct. Select yes or no
Please show full solutions! Will mark brainliest for the best answers! Thanks. Question is attached. THANKS AGAIN!
9514 1404 393
Answer:
-4.2
Step-by-step explanation:
The linear term is missing from the quadratic, which means it is symmetrical about the vertical line x=0. For each x-intercept greater than 0, another is its opposite. The opposite of 4.2 is -4.2
The other x-intercept is -4.2.
__
Consider the parent function ...
y = x^2
which is symmetrical about the y-axis.
Transforming it to ax^2 +k causes it to be scaled vertically by a factor of 'a', and shifted vertically up k units. Neither of these transformations affects the horizontal position of the curve, so it remains symmetrical about the y-axis. Attached is one example of a quadratic of this form with an x-intercept of 4.2.
find the slope between the points (1,18) and(4,12)
Answer:
slope = -2
Step-by-step explanation:
rise/run: y2-y1/x2-x1 .
=12-18/4-1 = -6/3 = -2
13% of 160 is 16% of
A. 13
B. 130
C. 1300
D. 13,000
Answer:
B. 130
Step-by-step explanation:
_______________
Answer:
B - 130
both values are equal to 20.8
Step-by-step explanation:
the first step is figuring out what they want you to compare the multiple choice answers to- 13% of 160, which is equal to 20.8 (160*.13)!
so next, we need to take 16% of each of our answers. we can guess at what our answer isn't going to be, specifically that it cannot be 13 since 20.8 is more than 13. We can also guess its not going to be 13,000, since even ten percent of that is about 130. The same logic can be applied to 1300, ten percent of 1300 (ie dividing 1300 by ten) is 130, again too large.
Therefore, by process of elimination we can guess that its likely B.
As for checking: we have our 20.8 to compare to, and 16% of 130 (.16*130) is in fact 20.8.
calculate the value its asking you to compare to- 13% of 160 (or .13 * 160) is 20.8use process of elimination to eliminate a few answers:the answer cannot be A because A is already smaller than 20.8the answer cannot be D because even 10% of D is 1300 (much more than 20.8the answer cannot be C because 10% of C is 130, more than 20.8that leaves B as our answer- and lets check16% of 130, or .16*130 is equal to 20.8
Write an equation in slope-intercept form of the line passing through (3, 1) and (4,3)
Answer:
y=2x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-1)/(4-3)
m=2/1
m=2
y-y1=m(x-x1)
y-1=2(x-3)
y=2x-6+1
y=2x-5
Answer:
y = mx+b
Step-by-step explanation:
The first 5 numbers of a sequence are shown below. Which of the following functions produces the sequence with n: {1, 2, ...,
n} ?
26, 35, 44, 53, 62,...
OA. fn) = 17-9n
OB. An) = 9n+ 26
OCfn) = 9n+ 17
OD. An) = 26 - 9n
The function that produces the sequence with n: [1,2,...,] is "f(n) = 9n + 17" (Option C). See the explanation below.
What is the explanation to the above answer?Note that we want a function which produces the sequence 26, 35, 44, 53, 62, if {1, 2, 3......n} is plugged into it.
Lets test the function with the integer 1:
9 (1) + 17
= 9+ 17
= 26 [Correct]
Lets true 2;
9(2) + 17
= 18 + 17
= 35 [Correct]
Lets try 3;
9 (3) + 17
= 27 + 17
= 44 [Correct]
Hence the selected function (Option C) is correct.
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Amanda increased the amount of protein she eats every day from 48g to 54g. By what percentage did Amanda increase the amount of protein she eats? 11.1%
Answer:
12.5%
Step-by-step explanation:
Previous grams of protein = 48g
Present grams of protein = 54g
By what percentage did Amanda increase the amount of protein she eats?
Percentage increase in the amount of protein = (present grams - previous grams) / previous grams × 100
= (54g - 48g) / 48g × 100
= 6g/48g × 100
= 1/8 × 100
= 0.125 × 100
= 12.5%
Percentage increase in the amount of protein = 12.5%
*probability question* There are 6 red, 6 blue, 8 green, 7 purple, and 8 yellow marbles. As students enter the classroom, they draw a marble and keep it. If the first student in the room draws a yellow, and the 2nd draws a purple, what is the probability that the third student will draw a yellow also?
Answer:
21%
Step-by-step explanation:
8+7+8+6+6= 35 total marbles
35-2 used = 33 marbles left
100/33 = 3% per marble
7 yellow left x 3 % = 21%
Answer:
7/25
Step-by-step explanation:
Let's remove all the marbles that were drawn by the bag first. That makes...
Red: 6
Blue: 6
Purple: 6
Yellow: 7
If we have 7 yellow marbles currently in a bag of 25 marbles, then the chance that the third student draws a yellow is...
7/25
hey! i’ll give brainliest thanks
Answer:
Cyrus defeated Medes and the Babylonians.
More Info:
By the 6th century BC, the Medes had built a large empire that included the Persians to the east and the Assyrians to the west. However, in 550 BC Cyrus the Great of Persia conquered the Medes, acquiring Assyria in the process.
I need this pleaseeee
Answer:
2(√17b³ )c⁵
Step-by-step explanation:
We are to simplify the expression given below
√68b³c¹⁰
Simplifying 68
= √(17 × 4)b³c¹⁰
Hence
= 2√17b³c¹⁰
= 2 √17b³ × √c¹⁰
= 2 √17b³ × c¹⁰/²
= 2(√17b³ )c⁵
There will be Elizabeth and Izak record the number of miles they bike each day. The line plots show the distances they each biked for 5 days. How much greater was the shortest distance Izak biked than the shortest distance Elizabeth biked in 1 day
Answer:
See Explanation
Step by step Explanation:
The question is incomplete as the plots that show the distance traveled is not given.
So, I will answer the question with the attached plots.
The number of dots on each day represents the number of miles travelled on that day.
From Elizabeth's plot, the shortest is 1 mile on day 4 (i.e. 1 dot on day 4)
From Izak's plot, the shortest is 2 miles on day 3 (i.e. 2 dots on day 3)
Calculate the difference between both distances
[tex]d = 2\ miles - 1\ mile[/tex]
[tex]d = 1\ mile[/tex]
Hence, the shortest distance travelled by Izak is 1 mile more than the shortest by Elizabeth
Answer:
Step-by-step explanation:
Algebra 2 Exponential Growth or Decay? Please
PLEASE HELP! Thank you in advance! :3
Nicholas is buying shirts for his baseball team. He will pay $8.75 for each shirt plus a one-time fee of $25 for the design. Write an equation that can be used to find y, the total cost to buy x shirts.
Answer:He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design.
Which equation can be used to find y, the total cost to buy x shirts?
A) y = 9.5x + 22.5
B) y =22.5x + 9.5
C) y = 9.5x - 22.5
D) y =22.5x - 9.5
He would use equation A.
Step-by-step explanation:If each shirt cost 9.50 you would multiply that by how many shirts you have plus the one time fee of 22.50 you would get the equation y= 9.5x + 22.5
plzs help it for school
and it you do help you will get something back
Answer:
[tex]Area=94~sq~units[/tex]
Step-by-step explanation:
[tex]prism=2(lb+bh+hl)[/tex]
[tex]Given: l=5 ~units , b=4 ~units,h=3 ~units[/tex]
[tex]Area=2(5*4+4*3+3*5)[/tex]
[tex]=2(20+12+15)[/tex]
[tex]=2(47)[/tex]
[tex]=94[/tex]
--------------------
hope it helps...
have a great day!!
Answer:
your answer is 94 sq units
Step-by-step explanation:
hope it helps...
make k the subject of the formula y=
Answer:
You forgot to send the question. Send the full question when you can
A goat and a cow together weigh 190 kg 640 g. The weight of the goat is 59 kg 720 g. Find the weight of the cow
Answer: 130 kg 920 g
Step-by-step explanation:
Given
The weight of the goat is 59 kg 720 g
The combined weight of goat and cow is 190 kg 640 g
Suppose, the weight of the cow is x kg
We know, 1 kg=1000 g
Converting weight into kg
Goat weight
[tex]=59+0.720\\=59.720\ kg[/tex]
Total weight
[tex]=190+0.640\\=190.640\ kg[/tex]
Then, the cow weight is given by
[tex]\Rightarrow 190.640-59.720\\\Rightarrow 130.920\ kg\ \text{or}\ 130\ kg\ 920\ g[/tex]
Jester has a business that is not doing well. on Friday, he earned 468 dollars. On Saturday, he earned 459. on Tuesday, he earned 432 dollars. How much money did he earned on Thursday?
Answer:
i think is 424. its what my mom just explain to me
please help with these questions and show how u found them! i will mark brainliest !
Answer:
Step-by-step explanation:
Question 3
5 (k + 4) - 2k
Use distributive property of multiplication.
5k + 20 -2k
Combine like terms to get your answer.
3k +20
Question 4
2 (3 + d - 1)
Simplify the expression in the parenthesis.
2 (2 + d)
Use distributive property of multiplication.
4 + 2d
If you wanted it to be accepted at higher levels, switch the terms around.
2d + 4
If 1 US dollars can be exchanged for 0.55 Euros, how many Euros can be obtained when exchanging 47 U.S. dollars?
Answer:
25.85 Euros
Step-by-step explanation:
1 US dollar = 0.55 Euros
0.55 x 47 = 25.85 Euros
Hope this helped :)
Answer:
25.85 Euros
explanation:
If 1 US dollar equals .55 Euros then 47*0.55=25.85 Euros
how line did you wait in line? is a statistical question
Answer:
yes
Step-by-step explanation:
hopes this helped;0
What is the value of x in the figure? Enter your answer in the box.
Answer:
65
Step-by-step explanation:
2x+15 = 145
2x = 145-15
2x = 130
x = 65
Answer:
I think x=65
Step-by-step explanation:
Since both of the angles are vertical to one another that would mean they are equal to each other. When writing 2x +15=145 you would solve for x.
another one plz help
Answer:
the answer is the 3rd one
Nine tokens are black on one side and white on the another initially four tokens have the blackside upwards in each turn tell the least number of turns yo need to have all tokens showing the same colour
Answer:
2
Step-by-step explanation:
Let us name the white chips "W" and the black ones "B". If there are 9 tiles and 4 are in black then the rest, that is 5, in white, like this:
B-B-B-B-W-W-W-W-W
First movement, in turn we can flip 3 tiles, in this case we flip two blacks and one white, it would look like this:
W-W-B-B-B-W-W-W-W
The second movement is to turn the 3 black ones and thus they would all be blank
W-W-W-W-W-W-W-W-W
This means that, the smallest number of movements is 2.
Which pair of expressions is equivalent?
Answer:
C is equivalent
Step-by-step explanation:
7/12*4/5
7*4/12*5
28/60
7/15
7/12/5/4
7/12*4/5
7*4/12*5
28/60
7/15
Sara is playing a board game. The probability that Sara will score a point on her next turn is 1/2 . Which statement describes the probability that Sara will score a point on her next turn? *
sara is unlikely to score a point on her next turn