a+c=40
c=40-a
11c +20a=728
11(40-a)+20a=728
440-11a +20a=728
440+9a=728
9a = 288
a=288/9 = 32
32 adults
8 children
What is the range of y=sec x
The values where cos(x) is equal to 0 are excluded from the domain of the function y=sec(x)=1cos(x), or the values 2+n for all integers n. The function's range is either y<=1 or y>=1.
What is domain?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).
here, we have,
we know that "secant function" mean:
Its root is the Latin verb secare, which means "to cut." Any line that intersects a circle twice is referred to as a secant line, and you can conceive of this line as slicing the circle in half. The distance from the origin to the point where the tangent line intersects the x-axis is the secant function.
now, the identity of the sec is:
1/cos(x) = sec(x) Cot (x) = 1/Tan (x)
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What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4?
To solve this problem, we are given the formulas for our new x and y. To use this formula, we must first establish our points 1 and 2. Since the problem specifically directed the point E which partitions the line segment “from J to K”, therefore
point 1 = point J = (x1, y1)
point 2 = point K = (x2, y2)
The variables m and n indicates the portion of partition segment JE and EK that takes up from the original segment. Since the ratio is 1:4, then:
JE = m = 1
EK = n = 4
Therefore calculating for x and y using the given formulas:
x = [1 / (1 + 4)] (25 – (-15)) + (-15)
x = -7
y = [1 / (1 + 4)] (15 – (-5)) + (-5)
y = -1
Therefore the coordinates of point E is (-7, -1)
The x- and y- coordinates of point E (-7,-1)
Further explanationIn the coordinates of the two-dimensional plane (xy) there is a position vector.
Two dimensions because the coordinates are only x and y, three dimensions if the coordinates are x, y, and z.
If there is a point P then
You can write P as:
P = xi + yi
where i denotes the unit vector in the x and y directions
While the size of the vector:
[tex]\displaystyle P = \sqrt{x^2+y^2}[/tex]
and its direction
[tex]\displaystyle \theta=arc\:tan\:\frac{y}{x}[/tex]
If a point C divides the line segment AB by the ratio m: n, then the coordinates of point C can be formulated:
[tex]\displaystyle \vec{C}=\frac{m\vec{b}+n\vec{a}}{m+n}[/tex]
Coordinate x :
[tex]\displaystyle x=\frac{m.x_2+n.x_1}{m+n}[/tex]
Coordinate y :
[tex]\displaystyle y=\frac{m.y_2+n.y_1}{m+n}[/tex]
line segment from J to K into a ratio of 1:4, then m = 1 and n = 4
(x1,y1) from point J= (-15,-5)
(x2,y2) from point K= (25,15)
So coordinates of point E :
Coordinate x :
[tex]\displaystyle x=\frac{1.25+4.-15}{5}[/tex]
x = -7
Coordinate y :
[tex]\displaystyle y=\frac{1.15+4.-5}{5}[/tex]
y = -1
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Keywords: line segment, vector, two-dimensional coordinates , x,y, partitions
Solve for x: the quantity of x plus 4 all over 2 = 7.
x = 3
x = 5
x = 6
x = 10
Yasir designs bracelets. He uses between 9 and 15 red and yellow beads in a ratio of 2 red beads to 5 yellow beads. Drag the beads into the box to meet these requirements.
Answer:
You should place 4 red beads and 10 yellow beads into the container
Step-by-step explanation:
If c1 and c2 are real numbers, give the relationship between them that will allow you to find solutions for the equation x^n + c1 = c2, regardless of the value of n.
when multiplying two or more fractions, you should?
Anna paid $4 for renting a video game for 4 days. Which graph shows the relationship between the costs of renting a video game for different days? A graph is shown with title Video Game Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars.A: Points are plotted on the ordered pairs 2, 1 and 3, 2, and 4, 3. A graph is shown with title Video Game Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars.B: Points are plotted on the ordered pairs 1, 1 and 2, 2, and 3, 3. A graph is shown with title Video Game Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars. C:Points are plotted on the ordered pairs 1, 2 and 2, 3, and 3, 4. A graph is shown with title Video Game Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars.D: Points are plotted on the ordered pairs 0, 0 and 1, 4, and 1.5, 6.
Nancy rides her bicycle 10 miles at an average rate of 12 miles per hour and 12 miles at an average rate of 10 miles per hour. What is the average rate for the entire trip? Explain your answer.
What's the area of a circle with a radius of 5?
A triangle has one side that measures x, and the other two sides each measure 4 inches less than x. The perimeter is 19 inches.
What is the measure of x?
Answer: Simplified version of the answer above: (x = 9) is the correct answer.
Step-by-step explanation:
To take a taxi, it costs $3 plus an additional $2.00 per mile traveled. You spent exactly $ 20 on a taxi, which includes the $1 tip you left. How many miles did you travel
Last year, Raul estimated that he would need 480 night lights, but he sold 420 night lights. This year, he bought 425 night lights and only sold 375. Which set of statements about the percent errors for the two years is true
Answer:
The answer is C in edg.
how many solutions does the equation 4y+7=5+2+4y have?
A. one
B. two
C. None
D. infinitely many
the age of two groups of yoga students are shown in the following dot plot
find the volume of the shaded solid. Round your answer to 2 decimal places if necessary. Use pi=3.14 when necessary. cylinder with these 6ft, 18ft, 30 ft.
A student wants to report on the number of movies her friends watch each week. The collected data are below:
2
14
1
2
0
1
0
2
Which measure of center is most appropriate for this situation and what is its value?
Median, 1.5
Median; 3
Mean, 1.5
Mean; 3
Answer:
A) Median, 1.5
Step-by-step explanation:
Since we have given that the collected data as follows:
| 2 | 14 | 1 | 2 | 0 | 1 | 0 | 2 |
As we know that there are three measures of central tendency.
1) Mean is given by
2) Media of 0, 0, 1, 1, 2, 2, 2, 14 is given by
3) Mode of 0,0,1,1,2,2,2,14 = 2as 2 is occurring most of the times, but we know that median is the best measure to find the center. Hence, Median is the best measure and its value is 1.5.
Find the sum of this infinite geometric series where a1=0.3 and r=0.55
Answer:
The sum of the infinite geometric sequence is given by:
[tex]S_{\infty} = \frac{a_1}{1-r}[/tex] ....[1]
where,
[tex]a_1[/tex] is the first term
r is the common ratio.
As per the statement:
Given that [tex]a_1 = 0.3[/tex] and r = 0.55
To find the sum of this infinite geometric series.
Substitute the given values in [1] we have;
[tex]S_{\infty} = \frac{0.3}{1-0.55}[/tex]
⇒[tex]S_{\infty} = \frac{0.3}{0.45}[/tex]
Simplify:
[tex]S_{\infty} \approx 0.67[/tex]
Therefore, the sum of this infinite geometric series approximate is, 0.67
Jared flipped a fair coin 50 times. He expected half of his tosses to land on heads, but he only got heads 15 times. If he increased the number of times he flipped the coin to 500, he should expect the number of heads to be-
Write an algebraic expression for 15 decreased by twice a number
What value does 4 represent in the number 487.009
Simplify (−34.67)0.
−34.67
−1
0
1
Answer:
The answer is 1.
Im sorry I forgot the step by step explanation, but I had this in a quuiz a while ago and the answer is 1.
Write a word phrase for the algebraic expression 3x+10
find the solution of the system of equations 2x-4y=32 2x-8y=48
Which number is equivalent to the fraction 18/5
A store had 235 MP3 players in the month of January. Every month ,30% of the MP3 players were sold and 50 new MP3 players were stocked in the store. Witch recursive best represents the number of MP3 players in the store f(n) after n months?
PLZZZ HELP WILL GIVE BRAINLIESTTTT
What is the value of x in this equation: 4x + 5 = 3x + 4? Solve the equation using the algebra tiles. x =
Answer:
Solution of the equation 4x + 5 = 3x + 4 is:
x= -1
Step-by-step explanation:
We are given a equation:
4x + 5 = 3x + 4
We have to solve the equation for x
4x+5=3x+4
subtracting both sides by 4
4x+5-4=3x+4-4
4x+1=3x
subtracting both sides by 4x
4x|+1-4x=3x-4x
1= -x
⇒ x= -1
Hence, solution of the equation 4x + 5 = 3x + 4 is:
x= -1
Which expression shows a sum of three terms?
3x
3 + x
x3
x + 3 + x
The equation x = 6 represents a vertical line. True or false
For his craft project, James bought 10 pieces of ribbon that were each 2.1 feet long. How many total yards of ribbon did James buy?
James buy 7 yard of ribbon
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
James= 10 pieces of ribbon
Each of length= 2.1 feet
So, length of 10 ribbons
=2.1*10
=21 feet
Now, 1 yard= 3 feet
So, 21 feet= 21/3= 7 yard
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