sin(x+pi)=-sin(x)=sin(-x)=cos(pi/2)
cos (x+pi)=-cos(x)
So according to the question:
cos(pi/2 +x)=cos(x)
Using the solution of cos, obtain:
(pi/2) + x = 2pi +- (x)
case#1: (pi/2) + x = 2pi + (x)
But here, the value of x is canceled, just
case#2: (pi/2) + x = 2pi - (x)
answer------------>>>>>>>>> x=pi-pi/4
Blueberry pies sold each day
Least:
Greatest:
Median (02):
Lower Quartile (Q1):
Upper Quartile (03):
Blueberry pies sold each day So, Least: 1, Greatest:8, Median(02):4,
Lower quartile(q1):3, Upper quartile(03):5.
What are quartiles?When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.
The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
Left to right is said in the assumption that data were arranged increasingly from left to right.
From the given data
The Least number is 1.
The greatest number is 8.
The Median(02) is 4.
Lower Quartile (Q1): 3
Upper Quartile (03): 5
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Liza, Cecilia,and Dylan are playing soccer. Liza and Cecilia are 120 feet apart. Dylan is in between them. If Dylan is standing the same distance from both girls, how many feet is Dylan from Liza?
Answer:
60 feet
Step-by-step explanation:
You need to find the midpoint between 0 and 120. (0+120)/2 is 60 feet.
1. Which of these is an infinite arithmetic sequence?
O {691, 632, 573, 514}
O {232, 354, 476, 598, ...}
O {845, 169, 33.8, 6.76, ...}
O {724, -362, 181, -90.5}
Answer: Choice B
Each time we're adding 122 to each term to get the next term
232+122 = 354354+122 = 476476+122 = 598This goes on forever because of the three dots, hence the set is infinitely large.
We say that the common difference is 122. Subtracting any two adjacent terms gets us this value. Eg: 354-232 = 122.
Qs. If three masons construct a wall in.
four days . In how many days, five such
masons can construect wall.
Answer:
2.5 days
Step-by-step explanation:
Element X is a radioactive isotope such that every 24 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 70 grams, how long
would it be until the mass of the sample reached 61 grams, to the nearest tenth of a
year?
Answer:
Step-by-step explanation:
We get to use the simple version of the half life equation:
[tex]N=N_0(\frac{1}{2})^{\frac{t}{H}[/tex] where N is the amount of radioactive element left after a specific number of years,
N0 is the initial amount of the element,
t is the number of years (our unknown), and
H is the Half life of the element. For us,
N is 61
N0 is 70,
t is unknown,
H is 24 years. Filling in:
[tex]61=70(.5)^{\frac{t}{24}[/tex]. We begin by dividing both sides by 70 to get:
[tex].8714285=(.5)^{\frac{t}{24}[/tex] and then take the natural log of both sides:
[tex]ln(.8714285=ln(.5)^{\frac{t}{24}[/tex] which allows us to bring down the exponent to the front on the right side:
[tex]ln(.8714285)=\frac{t}{24}ln(.5)[/tex]. We divide both sides by ln(.5) to get:
[tex].1985457976=\frac{t}{24}[/tex] and then multiply both sides by 24 to get:
t = 4.8 years
Line passes through the point (2,10) and has a y-intercept of 4. what is the equation of the line?
Answer:
y = 3x + 4
Step-by-step explanation:
y = mx + b
b = y-intercept so:
b = 4
Since 4 is the y-intercept that means (0, 4).
To find slope:
m=(y2-y1)/(x2-x1)
m=(4 - 10)/(0 - 2)
m= (-6)/(-2)
m= 3
Slope-intercept:
y - y1 = m(x - x1)
y - 10 = 3(x - 2)
y - 10 = 3x - 6
y = 3x + 4
Which is an equation of a circle with center at (7,0) and
radius 4?
Answer:
Step-by-step explanation:
Properties
Center:(7,0)
The center of a circle is a point from which all points on a circle are the same distance.
Radius:4
The radius of a circle is the length of a line segment from its center to its perimeter.
The radius is typically denoted as "r" or "R".
Diameter:8
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.
Circumference or (or Permieter) = 2*π*R = 2*3.14*4 = 25.1327412287183
The circumference of a circle is the distance around it.
Area:50.2654824574367
Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.
Equation
Standard Form
The standard form for the equation oif a circle is
(x-a)2+(y-b)2=r2
And in our particular case:
(x-7)2+(y-0)2=42
(x-7)2+(y-0)2=16
General Form
The general form for the equation of a circle is
x2 + y2 + Ax + By + c = 0
We can get the general form by expanding the equation of the standard form
(x-a)2+(y-b)2=r2
(x-7)2+(y-0)2=42
(x-7)2+(y-0)2=16
x2-14x+49+y20y+0=16
x2+y2-14x+0y+33=0 Referenced definitions
Chord A chord of a circle a line segment that joins two points on the circumference of a circle.
π The ratio of a circle's circumference to its diameter. Equal to 3.1415926535... (the digits go on indefinitely without repeating)
Circle a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre).
The required equation of a circle will be (x - 7)² + y² = 16 with a center at (7, 0) and a radius of 4.
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
The center of the circle is given as (h,k) = (7, 0) which is given in the question
And radius r = 4
Substituting the given values into this equation gives us an equation of a circle with a center at (7, 0) and a radius 4:
(x - 7)² + (y - 0)² = 4²
Simplifying this equation gives us:
(x - 7)² + y² = 16
This is the equation of a circle with a center at (7, 0) and a radius of 4.
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I need the answer fast pls
Answer:
the answer is probably C
Answer:
the answer is B
Step-by-step explanation:
because the minimum score is 5
hi nessaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa :>
Answer:1 1/15
Step-by-step explanation:
2/3 x 5= 10/15
2/5 x 3= 6/15
Both denominators have to be the same so you can add them together.
10/15 + 6/15=16/15 or 1 1/15
True or False
More than one phylum of animals are invertebrates
Answer:
True
Step-by-step explanation:
The largest animal phylum is also included within invertebrates
Given that sec0=-37/12 what is the value of cot0, for Pi/2<0
Answer:
Step-by-step explanation:
12/35
Consider the following graph of y = f (x). Please help
Answer:
f. for the x values I think its -1 & 5
: If Newton Manufacturers has an accounts receivable turnover of 4.8 times and net sales of $7,812,379, what would its receivables be?
Answer:
$1,627,579
Step-by-step explanation:
Given that
The account receivable turnover is 4.8 times
And, the net sales is $7,812,379
We need to find out the receivable
So as we know that
accounts receivable turnover = net sales ÷ average accounts receivables
Therefore the accounts receivables is
= ($7,812,379 ÷ 4.8)
= $1,627,578.96
= $1,627,579
Which choices are equations for the line shown below? Check all that apply.
(-2, 4)
(1-2)
Answer:
A, C and F.
Step-by-step explanation:
Equation of a line:
The equation of a line has two formats:
[tex]y = mx + b[/tex]
Slope-intercept format, in which m is the slope and b is the y-intercept(which is the value of x when y = 0).
And in point-slope form:
[tex]y - y(0) = m(x - x(0))[/tex]
In which (x(0),y(0)) is the point and m is the slope.
Slope:
When we have two points on a line, the slope is given by the change in y divided by the change in x. We have points (-2,4), (1,-2). So
Change in y: -2 - 4 = -6
Change in x: 1 - (-2) = 1 + 2 = 3. So
m = -6/3 = -2.
Equation in slope-intercept:
The y-intercept is y = 0, so b = 0. The equation in slope-intercept formula is:
[tex]y = -2x[/tex], so option A is marked.
Equation if point-slope:
Point (-2,4) means that [tex]x_0 = -2, y_0 = 4[/tex]. So
[tex]y - y(0) = m(x - x(0))[/tex]
[tex]y - 4 = -2(x - (-2))[/tex]
[tex]y - 4 = -2(x + 2)[/tex]
So option C is correct.
Point (1,-2) means that [tex]x_0 = 1, y_0 = -2[/tex]. So
[tex]y - y_0 = m(x - x(0))[/tex]
[tex]y - (-2) = -2(x - 1)[/tex]
[tex]y + 2 = -2(x - 1)[/tex]
So option F is correct.
Answer:
Options A, C and F are correct.
Find the degree measure 7pi/4 radians
The degree for 7pi/4 is : 315°
Use the picture below to answer the question that
follows.
Which is the volume of the cylinder
Answer:
___y141.3cm is the answer
On a particular day, 112 of 280 passengers on a particular DTW-LAX flight used the e-ticket check-in kiosk to obtain boarding passes. In a random sample of eight passengers, use the binomial model to find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.
Answer:
0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.
Step-by-step explanation:
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Population of 280, which means that [tex]N = 280[/tex]
112 use e-ticket check-in kiosk, which means that [tex]k = 112[/tex]
Sample of eight passengers means that [tex]n = 8[/tex]
Find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.
This is P(X = 4). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,280,8,112) = \frac{C_{112,4}*C_{168,4}}{C_{280,4}} = 0.2348[/tex]
0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.
Which function equation is represented by the graph?
PLEASE HELP
Answer:
calculator
Step-by-step explanation:
calculator
The expression 4c - 3 is equal to _ when c = -2
Answer:
-11
Step-by-step explanation:
let f(c) = 4c - 3
f(-2) = 4(-2) - 3 = -8 -3 = -11
Answer:
-11
Step-by-step explanation:
4c - 3
c = -2
4(-2) - 3
-8 - 3
-11
4c - 3 = -11 when c = -2
Express 5 cm in metre and kilometre.in decimals........................
Answer:
0.05 metre
5×10^5 kilometer
1.9685
The LCD of …
A. 3
B. 3(x-5)^2
C. 3(x-5)
D.x-5
Answer: [tex](c)[/tex]
Step-by-step explanation:
Given
Fractions are[tex]\dfrac{x^2-5x+6}{x-5}[/tex] and [tex]\dfrac{x^2-1}{3(x-5)}[/tex]
LCD of the two fractions is the least common denominator
[tex]\text{LCD}\{x-5,3(x-5)\}=3(x-5)[/tex]
Thus, option (c) is correct.
I need help with the answer.
The answer is A, 13
Step-by-step explanation:
The easy way to solve it was to plug in every answer to see which was equal to 32 since both sides were identical.
Plz help me well mark brainliest if correct ...?????.
Answer:
Apples
Step-by-step explanation:
Describe the transformation that takes F(x)=x+1 to g(x)=-x+4
Answer:
g(x) = -f(x) +5
Step-by-step explanation:
The sign on the 'x' changes, this implies a reflection.
g(x) = -f(x) = -(x+1) = -x -1
Now apply a vertical translation 'up 5' to f(x)
g(x) = -f(x) + 5 = (-x-1) +5 = -x +4
PLEASE HELP PLEASE I NEED TO KNOWW
Answer:
35.25
Step-by-step explanation:
Five percent of all cars manufactured at a large auto company are lemons. Suppose two cars are selected at random from the production line of this company. Let x denote the number of lemons in this sample. Write the probability distribution of x.
I need the answer to this pls.
Answer:
C
Step-by-step explanation:
Matthew decided to bake cupcakes for the school fundraiser. He wants to make 2 dozen cupcakes--one dozen strawberry and one dozen chocolate. He needs 2 1/4 cups of flour for the strawberry cupcakes and 2 1/3 cups of flour for the chocolate cupcakes, but he only has 4 cups of flour. Which two expressions could be used to correctly determine the amount of flour, in cups, Matthew still needs to bake his two dozen cupcakes? 2 part what is the total amount of flour, in cups, Mathew still needs for his cupcakes? NO LINK
Answer:
[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\\frac{7}{12}\:\text{more cups of flour}[/tex]
Step-by-step explanation:
The total amount of flour, in cups, Matthew needs is equal to [tex]2\frac{1}{4}+2\frac{1}{3}=4\frac{7}{12}[/tex]. Because he only has 4 cups, we can write the following expression to determine how many additional cups of flour he needs:
[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\4+c=\frac{7}{12}, \\\\c=\boxed{\frac{7}{12}\:\text{more cups of flour}}[/tex]
what dose 2 + 2 = ?????????
Answer: 4
Step-by-step explanation:
Just add
Answer:
4
Step-by-step explanation:
just add or if you can't then use a calculator
Which fact is related to 12 : 3 = 4
Answer:
3x4 = 12 is the most related fact to 12:3 = 4
Step-by-step explanation: