Answer:
0.8192
Step-by-step explanation:
The pattern is dividing by 2.5 each time since:
200/80=2.5
80/32=2.5
So now:
1st term: 200
2nd term: 200/2.5=80
3rd term: 80/2.5=32
4th term: 32/2.5=12.8
5th term: 12.8/2.5=5.12
6th term: 5.12/2.5=2.048
7th term: 2.048/2.5=0.8192
P is a point on the terminal side of θ in standard position. Find the exact value of the six trigonometric functions for θ.
18. P(-3, 2)
19. P(4, -2)
20. P(0, -6)
21. P(-3, -4)
Answer:
see below
Step-by-step explanation:
When you're doing a bunch of these, it is helpful to make a table with reminders as to how they're calculated. That table is shown below.
__
In the attached, we have used ...
r² = x² +y²
√20 = 2√5
√36 = 6
√25 = 5
and 1/(2√5) = √5/10. (The division is outside the radical.)
Solve the right triangle. Round decimal answers to the nearest tenth.
С
12
B
9
A
AB=
m
M
I need help
Answer:
15
Step-by-step explanation:
Use the Pytago theorem.
AB^2=AC^2+BC^2
AB^2= 9^2 + 12^2
= 225
AB = [tex]\sqrt225}[/tex]
= 15
How much would you save on a tv that costs $550 with the 30% discount
Answer:
He could save $ 165
Step-by-step explanation:
Discount = 30% of 550
[tex]=\frac{30}{100}*550\\\\=3*55[/tex]
= $ 165
Answer:
the TV after the discount will cost 385.00 dollars and you would have saved 165.00 dollars! hope this helped :D
I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult packages. After two weeks I spent 108 to donate six children packages and 4 adult packages. What is the price of each type of package
Answer:
Step-by-step explanation:
Let the price for children and adults package be represented with x and y respectively.
For the first week the sum of the package will be as follows:
3x+8y = 126
For the two weeks after:
6x+4y= 108
So, we will be having two equations
3x+8y = 126..... (1)
6x+4y= 108.......(2)
These are simultaneous equations
From equation 1
3x+8y = 126
3x = 126-8y
X = 126-8y/3 ............. (3)
Put equation 3 into 2
6 ( 126-8y)/3 +4y = 108
756-48y/3 +4y = 108
756-48y+12y/3 = 108
Cross multiplying
756-48y+12y= 108×3
756-48y+ 12y = 324
Collecting like terms
756-324 = 48y-12y
432= 36y
Divide both sides by 36
432/36 = 36y/36
y= 12
Substituting y into equation 1
3x+8= 126
3x+96=126
3x= 126-96
3x= 30
Divide both sides by 3
3x/3 = 30/3
x = 10
Hence for each of the packages for children and adults. It will be 10 and 12 respectively.
I need help the two select choices are reduction and enlargement
Answer:
Reduction; enlargement
Step-by-step explanation:
When the scale factor is between 0 and 1, the figure shrinks, making it a reduction in size. When its greater than 1, the figure grows, enlarging it. If the scale factor is 1, the figure stays the same and doesn't shrink or grow.
Answer:
Answer is below
Step-by-step explanation:
A dilation with a scale factor between 0 and 1 is a reduction, while a dilation with a scale factor greater than 1 is an enlargement.
If you multiply the scale factor by more than 1, the scale factor will increase, causing an enlargement. If you multiply the scale factor by between 0 and 1, the scale factor will decrease, causing a reduction.
Which of the a-values satisfy the following inequality?
7 + a < 11
Answer:
a < 4
Step-by-step explanation:
7 + a < 11
Subtract 7 from each side
7+a-7 <11-7
a < 4
Answer: a=3
Step-by-step explanation:
Calcula la altura de Juan sabiendo que proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80 metros proyecta una sombra de 2,25 metros.
Answer:
La altura de Juan por lo tanto es de 1.6 metros de altura
Step-by-step explanation:
Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:
Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.
Supongamos que x es la altura de juan que tenemos que calcular.
La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:
x= (1.8 metros/2.25 metros)*2
x=1.6 metros
La altura de Juan por lo tanto es de 1.6 metros de altura
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answer:
The answer is sandy
Step-by-step explanation:
18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon
hope this helped <3
The volume of a cone is 50 pi cubic feet. Its height is 6 feet. In feet, what is the radius of the cone? Round the answer to the nearest tenth.
*The answer is 5*
Answer:
Radius= 5.0ft ( given)
Step-by-step explanation:
Given: Volume of cone= 50π ft^3
Height of cone= 6ft
Required: Radius
Volume of cone= 1/3 * π * r^2 *h
(or)
r^2= Volume *3/h π ( Just disintegrating the formula and taking radius^2 to the left hand side(L.H.S) )
= (50 π *3)/(6)π
= 50/2 (because, 3 π /6 π = 1/2)
r^2 = 25
now, r =√25= 5.0 ft
Therefore, the radius of the cone is 5.0 ft(to the nearest tenth) :)
Answer:
5
Step-by-step explanation:
What is the quotient of 4 divided 2/3
Answer:
6
Step-by-step explanation:
[tex] \frac{4}{1} \div \frac{2}{3} \\ = \frac{4}{1} \times \frac{3}{2} \\ = \frac{12}{2} \\ = 6[/tex]
Answer:
[tex]6[/tex]
Step-by-step explanation:
[tex]4 \div \frac{2}{3} \\ \frac{4}{1} \div \frac{2}{3} \\ \frac{4}{1} \times \frac{3}{2} \\ \frac{12}{2} \\ = 6[/tex]
The local theater sold 260 tickets to their most recent performance. Admission was $9 for adults and $5 for children. If they made $2,140, how many adult tickets did they sell?
Answer:
210 adult tickets were sold
Step-by-step explanation:
let x be the number of adult tickets sold
let y be the number of children tickets sold
x+y=260 equation 1
9x+5y=2140 equation 2
multiply equation 1 by 5
multiply equation 2 by 1
5x+5y=1300
9x+5y=2140
subtract equation 1 from 2
4x=840
x=840/4 =210 tickets
substitute for x in equation 1
210+y=260
y=260-210=50
4 3/10 - ( 2 2/5x+ 5 1/2) = 1/2(-3 3/5x + 1 1/5)
Answer:
x = -223/11 = -20.273
Step-by-step explanation:
Step 1 : Simplify: 11/5
Step 2: Simplify 33/5
Step 3 :
Adding fractions which have a common denominator
Step 4: Simplify: 1/2
Step 5 : see below
Step 6 : see below
Pulling out like terms/factors
Step 7 : Simplify: 51/2
Step 8: Simplify: 22/5
Step 10: Simplify: 43/10
Step 9 :
Calculating the Least Common Multiple
Step 11 :
Adding fractions which have a common denominator
Done.
Hope this helps.
Two random samples were taken to determine how often people in a community listen to the local radio station each month.
The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.
The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.
Which statements are true? Check all that apply.
A. The second sample is random.
B. The second sample is likely to be more representative of the population.
C. The first sample is likely to be more representative of the population.
D. The second sample will give a better representation because is it larger.
E. The first sample will give a better representation because it is smaller.
F. Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.
Answer:
1 2 4 6. Tell me if im wrong.
Step-by-step explanation:
Answer:
yes the answer is 1 2 4 6
Step-by-step explanation:
Can someone help me with question e please ?
Answer:
Step-by-step explanation:
a) The domain is R- all real numbers.
b) The domain is R- all real numbers.
c) we need
[tex]x^{2}-4\neq 0\\x^{2} \neq 4\\x\neq 2\\and\\x\neq -2[/tex]
So the domain is R\{-2, 2}
d)
we need
[tex]x^{2}+x-2\neq 0\\x\neq 1\\and\\x\neq -2[/tex]
So the domain is R\{-2, 1}
e)
we need: x-1>0 or x> 1
So the domain is (1,+∞)
A paper cup in the shape of a cone has a radius of 6 cm and is 5 cm high. What is the volume of the cup ?
Write the following inequality in slope-intercept form. –12x – 2y ≥ –42
Answer:
y ≤ −6x−21
Step-by-step explanation:
-12x – 2y ≥ –42
– 2y ≥ 12x –42
-2(– 2y ≥ 12x –42)
y ≤ −6x−21
really need brainliest!
Answer:
the 5 star is wrong if your doing grad point the awnser is (y is less than or equal to -6x + 21
Step-by-step explanation:
jerry climbed 210 feet in elevation. He then went down 300 feet. What integer represents his total change in elevation
Answer:
210-300=-90
Step-by-step explanation:hope this helps plz mrk me brainliest
Hola ayudenme porfa se trata de progresiones aritmeticas 1Un niño compra figuras para su album; el primer dia 1 figura ; segundo dia,3 figuras;el tercer dia, 5 figuras y asi sucesivamente. Si en total compro 225 figuras ¿Cuantos dias compro figuras?
Answer: 16 days.
Step-by-step explanation:
I will answer this in English.
An aritmetic series works in the next way.
if the first therm is A.
Then the second therm is A + r
the third therm is A + r + r
and so on.
Where A is the initial value and r is a constant.
Here the first term is A = 1
The second term is 3, we can find the value of r as:
3 - 1 = r = 2
Then our series is:
Kₙ₊₁ = Kₙ + 2
where K₁ = 1
We know that in total he bought 225 figures, then we have the sumation:
∑Kₙ
and we want to find the value of n.
the sum of the first n terms is:
Sn = (n/2)*(K₁ + Kₙ)
where Kₙ = 1 + n*2 and K₁ = 1
so we must solve:
225 = (n/2)*(1 + 1 + n*2) = n + n^2
So we must solve the quadratic equation:
n^2 + n - 225 = 0
the solutions are:
[tex]n = \frac{-1 + -\sqrt{1^2 + 4*225} }{2} = \frac{-1 +-30}{2}[/tex]
So we have two solutions:
n = 29/3 = 14-.5
n = -31/2 = -15.5
We must select the positive solution, because n can be only positive, and we should round it to the next whole number, that is 16.
So he bought figures for 16 days.
Your friend buys a skateboard that is on sale for one third off the original price. Your friend spent $36 than the original price. What was the original price of the skateboard?
Answer:
original price of skateboard = $54
Step-by-step explanation:
Let the original price of the skateboard be x
selling price = one third off the original price = $36
x - (1/3x) = 36
[tex]\frac{x}{1} - \frac{x}{3} = \frac{3x-x}{3} = \frac{2x}{3}[/tex]
[tex]\frac{2x}{3} = 36\\2x = 108\\x = \frac{108}{2} = 54[/tex]
∴ x = 54
Tamara received a gift card with a $200 balance for her birthday she buy several video games for $45 each write an equation to help find how many video games she brought if she has $20 left on her card
Find the exact value of T Image below
T= (tan(2z)+1)(2 cos(z)-1)/ y^ 2 -x^ 2 , where x = 9 , y = 41 and z = 30 degrees
please explain
Answer:
a) 1/800 or 0.00125
b) i) 0.0013
ii) 0.001
c) 60%
Step-by-step explanation:
T = [tan(2×30)+1][2cos(30)-1] ÷ (y²-x²)
T = (tan60 + 1)(2cos30 - 1) ÷ (41² - 9²)
T = (sqrt(3) + 1)(sqrt(3) - 1) ÷ 1600
T = (3-1)/1600
T = 2/1600
T = 1/800
T = 0.00125
Error: 0.002 - 0.00125
0.00075
%error
0.00075/0.00125 × 100
60%
Y=X-2
-X+Y=10
A)Parallel
B)neither
C)perpendicular
Answer:]]
The slope of these two linear equations is the same so the would be Parallel.
y = mX + B where m is the slope.
In this case the slope is 1 for both equations.
y = x -2
y = x + 10
They would be exactly 12 units apart too.
Step-by-step explanation:
The lines below are parallel. If the green line has a slope of -1, what is the slope of the red line? Enter your answer as an integer or a fraction in lowest terms
Answer:
The red line has a slope of -1
Step-by-step explanation:
This is because parallel lines have the same slope with a different y intercept.
If the green line's slope is -1 and it is parallel to the redline, they will have the same slope.
The legs of a right triangle are 6 feet and 8 feet long. What is the area of
the triangle?
Answer:
24 ...mm
Step-by-step explanation:
mark me brainliest
Answer:
24 feet
Step-by-step explanation:
The area of a triangle is worked out by
Base x height x 1/2
8 x 6 = 48
48/2= 24
Hope that helped :)
-4x-y=24
Whats the missing value in the solution to the equation.
(__,8)
Answer: -8
Step-by-step explanation: First, substitute 8 for y and then solve the remainder of the problem.
-4x - 8 = 24
-4x - 8 + 8 = 24 + 8
-4x = 32
-4x/-4 = 32/-4
x = -8
FITNESS Alejandro is a personal trainer. For his clients to gain the maximum benefit from their exercise, Alejandro calculates their maximum target heart rate using the function f(x) = 0.85(220 – x), where x represents the age of the client. Find the inverse of this function and interpret its meaning in the context of the situation.
Answer:
1). [tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])
2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
Step-by-step explanation:
Function representing the maximum heart rate is,
f(x) = 0.85(220 - x)
Here x = age of the client
Equation form of the function will be,
y = 0.85(220 - x)
To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.
x = 0.85(220 - y)
220 - y = [tex]\frac{x}{0.85}[/tex]
y = 220 - [tex]\frac{x}{0.85}[/tex]
Now convert this equation into a function.
[tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])
Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.
100 points. Easy question.
Topic: Adding and Subtracting fractions.
ONLY DO QUESTION 8 NOT 9 AND 10
Answer:
17 1/8 km
Step-by-step explanation:
6 7/8 + 5 1/2 + 4 3/4
The common denominator is 8
6 7/8 already has a denominator of 8
5 1/2 = 5 1/2*4/4 = 5 4/8
4 3/4 *2/2 = 4 6/8
6 7/8 + 5 4/8 + 4 6/8
15 17/8
15 + 8/8+ 8/8+1/8
15 + 1 + 1 + 1/8
17 1/8
Answer:
[tex]\boxed{17\frac{1}{8} \ \sf{km}}[/tex]
Step-by-step explanation:
6 7/8 + 5 1/2 + 4 3/4
Turn to improper fractions.
55/8 + 11/2 + 19/4
Make denominator equal by LCM.
55/8 + 44/8 + 38/8
Add fractions because they have same denominators.
137/8
Turn to mixed fraction.
17 × 8 = 136 + 1
17 1/8
2. A box contains 6 red marbles, 9 blue marbles and 5 white marbles. The marbles are selected at random, one at a time,
and are not replaced. Find the compound probability
Answer:
?
Step-by-step explanation:
1.add all numbers up.
2. put each number onto a fraction.
3. then the rest you should know
The coordinates of point A on a grid are (−4, 3). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are (___, 3).
Which system of linear inequalities is represented by the graph x+5y>5 y<2x+4
Answer:
The lines represent the inequalities .
Further explanation:
The linear equation with slope m and intercept c is given as follows.
The formula for slope of line with points and can be expressed as,
Given:
The inequalities are as follows.
a. x – 5y < –5 and y < –2x – 4
b. x + 5y > 5 and y < 2x + 4
c. x – 5y < –5 and y < –2x + 4
d. x + 5y > 5 and y < 2x – 4
Step-by-step explanation:
The blue line intersects y-axis at , therefore the y-intercept is 4.
The blue line intersect the points that are and .
The slope of the line can be obtained as follows.
The slope of the line is m = 2.
Now check whether the inequality included origin or not.
Substitute in equation y=x+1.
0 is not greater than 1 which means that the inequality doesn’t include origin.
Therefore, the blue line is y < 2x + 4.
The orange line intersects y-axis at , therefore the y-intercept is 1.
The orange line intersect the points that are and .
The slope of the line can be obtained as follows.
The slope of the line is m = .
Now check whether the inequality included origin or not.
Substitute in equation y > .
0 is not greater than 1 which means that the inequality doesn’t include origin.
Therefore, the orange line is y > .
Solve the equation y > .
The equation of orange line is 5y + x > 5.
Option (a) is not correct as it satisfy the inequalities of the graph.
Option (b) is correct as it satisfy the inequalities of the graph.
Option (c) is not correct as it satisfy the inequalities of the graph.
Option (d) is is not correct as it satisfy the inequalities of the graph.
Hence, is correct.
Answer:
b
Step-by-step explanation:
