Answer: 45%
Step-by-step explanation: There's 9 people over the age of 14. And 9 divided by the total number, 20, gives you 0.45. 0.45 multiplied by 100 is 45.
Find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of -1. Show your work for full credit.
Answer:
(-1,-1)
Step-by-step explanation:
x = rcos(theta)
-1 = r cos(-3pi/4)
-1 = r(-sqrt(2)/2)
r = sqrt(2)
y = rsin(theta)
y = sqrt(2)sin(-3pi/4)
y = -1
(-1,-1)
Find the range of the data in the box plot below.
Answer:
Range: 20
General Formulas and Concepts:
Statistics
Range - the difference between the highest and lowest pointStep-by-step explanation:
Step 1: Define
Find values from box-and-whisker plot.
Highest point recorded = 25
Lowest point recorded = 5
Step 2: Find Range
Set up: 25 - 5Subtract: 20Using the identity
2
θ
+
2
θ
=
1
sin
2
θ+cos
2
θ=1, find the value of
cos
θ
cosθ, to the nearest hundredth, if
sin
θ
=
−
0.31
sinθ=−0.31 and
π
<
θ
<
3
π
2
π<θ<
2
3π
.
Answer:
can you fix the post so that it is not formatted weird?
Step-by-step explanation:
PLEASE MARK BRAINIEST!!
The required value of cos θ is approximately -0.95.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
We are given that sin θ = -0.31 and π < θ < 3π/2.
Since sin θ = -0.31 is negative, we know that θ is in the third quadrant.
Using the identity 2θ + 2θ = 1,
We can rewrite it as:
2θ = 1 - 2θ.
Squaring both sides, we get:
4θ² = 1 - 4θ + 4θ²
Simplifying, we get 8θ = 1, which means θ = 1/8π.
Since θ is in the third quadrant, we have cos θ < 0.
Using the identity cos² θ + sin² θ = 1, we can solve for cos θ as follows: cos² θ = 1 - sin² θ
cos² θ = 1 - (-0.31)²
cos² θ = 0.9039
cos² θ ≈ -0.95
Therefore, the value of cos θ is approximately -0.95.
Learn more about Trigonometric functions here:
brainly.com/question/6904750
#SPJ2
Sandy is 6 inches taller than Marie. If Marie
is an odd number of inches tall, which of the
following could be Sandy's height?
Answer:
# Theoretically, the height of Sandy must be an odd numbers, and not less than 5.
It may be: 7,9,11,....
# However, as 1 inch for the height of a girl is too funny - Marie can not have a height of 1 inch ( only in the case Marie and Sandy are the names of the toys!) - you should choose the number that fits best to the human height.
Step-by-step explanation:
Please see the explanation for the answer in the picture attached below.
Which statement best summarizes the main idea of the above passage from
"An Indian Father's Plea"?
A. Wind-Wolf learned much of what he learned from public school.
B. Wind-Wolf has a different educational background than many
other children.
O C. Wind-Wolf looks and acts differently than the other children in his
school.
D. Wind-Wolf will often answer questions at school using answers
he learned from those in his tribe.
Answer:
Had to look for the missing passage and here is my answer. Based on the passage from "An Indian Father's Plea", I can say that the statement that shows the best summary about this is option D: Wind–Wolf has begun denying his native culture because it conflicts with his school culture. Hope this helps.
Step-by-step explanation:
Identify the value of r and a1 for each geometric
series.
8 + 4 + 2 + 1 + ...
Answer:
Step-by-step explanation:
Answer:A,E
second part 1.5,2. .5,8
Step-by-step explanation:
How much will the guitar be worth in 10 years?
Answer:
$44487
Step-by-step explanation:
If you plug in 10 for t, you are left with the following equation:
[tex]V=12000(1.14)^{10}=12000\cdot 3.7072\approx 44487[/tex]. Hope this helps!
Answer: $44,487
Step-by-step explanation:
To solve this, substitute t (the variable for time in the equation) with 10 to represent the value of the guitar after 10 years.
[tex]V = 12000(1.14)^{10}\\V = 12000*3.7072\\\\V = 44487[/tex]
The guitar will be worth $44,487 in 10 years.
2. Simplify.
–48
O A. 4213
OB. -4213
O C.-4v3
OD. 4V3
What's the numerator for the following rational
expression?
7/v+3/v=?/v
Answer:
54inches 43inches are the 53364inches rye 5t337 the earth stud is 37feet of the 368feet
Answer:
10
Step-by-step explanation:
they all have the same denominator so the only focus is adding the 7+3
Pentagon ABCDE is rotated 90 degrees counterclockwise about the origin to form pentagon A’ B’ C’ D’ E’. What is the y-coordinate if point C’?
Answer:
4
Step-by-step explanation:
When rotating a point 90 degrees counterclockwise about the origin the point A(x,y) becomes A'(-y,x).
Point C has coordinates of (4, 3)
New coordinates will be C'(-3, 4)
So the answer is:
y-coordinate of C' is 4
Answer:
4
Step-by-step explanation:
Hope this helped!
helpppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
answer ALL
Answer:
Use Desmos for the graphs, symbolab for the inequalities answers.
Step-by-step explanation:
Help please
If steak costs $8.45 per pound, what will be the total cost of 0.8 pounds of steak?
Answer:
$6.76
Step-by-step explanation:
Multiply 8.45 by 0.8 and you will get 6.76
Find the exact solution of the equation. 7^x=8
Answer:
[tex] log_{7}(8) [/tex]
Gia’s gross annual salary is $46,392.
What is the recommended maximum monthly rent she should pay?
$1082
$1648
$1933
Answer: I think it might be 1933.
Step-by-step explanation
I hope it helped if not sorry. :/
Five-sixths of a number is 45.
Find the number.
Answer: The number is 54!!!
Hope it helps!!!
Step-by-step explanation:
Let's call the number x.
So, 5/6 (of or multiplication) = 45
5x = 45* 6
x = 270/5
x = 54
Pi ends after how many decimal places?
Answer:
31.4 trillion decimal places but no one really knows how many decimal places there are. 31.4 trillion decimal places is a world record set by google
Step-by-step explanation:
Answer:
`31.4 trillion decimal places.
Explanation:
As far as we know Google found out that there is about 31.4 trillion decimal places which is rounded to 3.14. Google is not 100% accurate though, Pi is a mathematical number that never ends so we just use what we know which is 3.14. Pi is an ideal that in numerical terms can be approached, but never reached. In order to calculate Pi simply involves taking any circle and dividing its circumference by its diameter. William Jones is the "founder" of Pi in 1706. Jones was a British little-known mathematics teacher, Jones was the first person to use a symbol to represent the platonic concept of Pi.
I hope this helps. : )
Find the missing length
Answer:
12
Step-by-step explanation:
40 divided by 4 is 10. 56 divide by 4 is 14. So 3 times 4 is 12
Answer: the missing length would be about 12
Step-by-step explanation:
Write an equation of the line that passes through (2, −2) and is parallel to the line y=3x+9.
Step-by-step explanation:
Parallel lines have the same slope, so we know that our line will have a slope of 3 because y = 3x + 9 has a slope of 3. Now, we can use the point-slope formula of the line to find the equation.
We have y - y₁ = m (x - x₁) (m = 3, x₁ = 2, y₁ = -2)
y- (-2) = 3 (x - 2)
y + 2 = 3x - 6
y = 3x - 8
Hope this helps!
Answer:
y = 3x - 8
Step-by-step explanation:
We know that parallel lines have the same gradient. In this situation we want want to work the equation of the line that is parallel to y = 3x + 9 and passes through ( 2 , - 2 ). We know that equations of lines usually go in the format of y = mx + c
↔ Where 'm' is the gradient / slope
↔ Where 'c' is the y - intercept
Using the information in the first sentence we can set up an equation to find the value of 'c'
⇒ Form the equation
→ y = 3x + c
⇒ Substitute ( 2 , -2 ) into the equation to find the value of c
→ -2 = 6 + c
⇒ Minus 6 from both sides to isolate c
→ -8 = c
⇒ Put the value of c back into y = 3x + c
→ y = 3x - 8
So equation of the line that passes through ( 2, −2 ) and is parallel to the line y = 3x + 9 is y = 3x - 8
Use the diagram below to find the distance between points (-6, 5) and (-1, -7).
A. 13 units
B. 19 units
C. 6 units
D. 17 units
Answer:
A. 13 units
Step-by-step explanation:
using distance formula
(x2-x1)^2 + (y2-y1)^2 in roots
(-1+6)^2 + (-7-5)^2 in roots
5^2 + 12^2 in roots
25 +144 in roots
169 in roots
13 units
Find the measure of angle U
Answer:
30
Step-by-step explanation:
180-110=70
70+80=150
180-150=30
A circle has a circumference of 150 meters. What is the measure of its radius? Round
to the nearest tenth.
circumference 150 m
Answer:
23.9 is the radius
Step-by-step explanation:
150/3.14 =47.7707006369
47.7707006369/2 = 23.8853503185
Round to nearest tenth = 23.9
Hope this helps!
Answer:
23.9
Step-by-step explanation:
The shark dove down 48 feet in 6 minutes. How many feet did the shark dive down per minute?
Answer:
8 ft per minute
Step-by-step explanation:
Take the number of feet and divide by the number of minutes
48 ft / 6 minutes
8 ft per minute
mike had a balance of $175 in his bank account at the start of the week.He withdrew $65.00 on Monday, $43.25 on Wednesday, and $56.45 on Thursday.On Friday he deposited $165.30.
1.At the end of the week, does Mike have more or less money in his savings account than he had at the beginning of the week?
2.How much more or less?
3.Show all of your work to support your answers.
Answer:
1. Mike has more money in his savings account than he had at the beginning of he week
2. $0.6 more
3. Current Balance is $175 + $165.30 - $164.7 = $175.6
Step-by-step explanation:
The question is of the format of a word problem, hence we have;
Initial balance in Mike's bank account = $175
Withdrawal on Monday = $65.00
Withdrawal on Wednesday = $43.25
Withdrawal on Thursday = $56.45
Deposit on Friday = $165.30
Total withdrawal = $164.7
Therefore we have;
Current Balance = Initial balance + total deposit - total withdrawal
∴ Current Balance = $175 + $165.30 - $164.7 = $175.6
1. Therefore, based on the above calculations, Mike has more money in his savings account than he had at the beginning of he week
2. Mike has $0.6 more.
3. Current Balance = Initial balance + total deposit - total withdrawal
∴ Current Balance = $175 + $165.30 - $164.7 = $175.6.
The function g(n) = n2 − 16n + 69 represents a parabola.
Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)
Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)
Part C: Determine the axis of symmetry for g(n). (2 points)
Answer:
Step-by-step explanation:
A) y + ? = n^2 - 16n + ? + 69
y + 64 = n^2 -16n + 64 + 69
y + 64 = (n-8)^2 + 69
y = (n-8)^2 + 5
B) vertex is (8,5) because the value of a vertex is always (h,k) from the parent vertex function:
y = a(x-h) + k
it's a minimum only because the (a) value is positive
C) axis of symmetry = 8
The solutions to a certain quadratic equation are x = 4 and x = -3. Write the equation in standard form below.
x2 + x - 12 = 0
x2 - x - 12 = 0
x2 - 7x + 12 = 0
Answer:
x2 - x - 12 = 0
Step-by-step explanation:
(x - 4) (x + 3) = 0
x(x + 3) -4(x + 3) = 0
x2 + 3x -4x - 12 = 0
x2 -x -12 = 0
Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. How many different furniture combinations are possible?
Answer:
There are 180 possible combinations for the furniture.
Step-by-step explanation:
4*5*9=180
Answer
180 combinations
Step-by-step explanation:
To figure out the number of combinations, we multiply 4*5*9. 4*5 equals 20 and 20*9 equals 180.
4 blue marbles, 3 green marbles, 7 yellow marbles, and 2 red marbles are in a bag. What is the probability of drawing a blue marble, putting it back in, then drawing a red marbe?
Answer:
0.375 in fraction is 38.
4/16 + 2/16 = 0.375
Step-by-step explanation:
consider the following three equations:
linear: y=20x+300
Quadratic: y=5x^2
Exponential: y=10(1.4)^x
use the equations to answer the following questions. Support your answers with work.
1. At an x-value of 11, which equation has the largest y-value?
2. what is the smallest integer value of x for which the value of the exponential equation is greater than the values of both the linear and quadratic functions?
Answer:
1.
y = 20(11) + 300 = 520
y = 5(11)(11) = 605
y = 10(1.4)^11 = 404.96
hence the quadratic formula - y = 5x^2 has the largest y-value
2.
y = 20 (14) + 300 = 580
y = 5 (14) (14) = 980
y = 10(1.4)^ 14 = 1111.20 > this is greater than both equations above
14 is the smallest value of x for which the value of the exponential equation is greater than the values of both the linear and quadratic functions
Step-by-step explanation:
Answer:
1. Quadratic
2. x = 14
Step-by-step explanation:
1. At x = 11
linear: y=20(11) + 300 = 520
Quadratic: y=5× 11² = 605
Exponential: y=10(1.4)¹¹ = 404.956517
2. 10(1.4^x) > 20x + 300
1.4^x > 2x + 30
1.4^x - 2x - 30 > 0
Using trial method:
x > 11
10(1.4^x) > 5x²
1.4^x - 0.5x² > 0
Using trail method:
x > 13
The smallest positive integer which satisfies both inequalities is 14
Mario writes the equation (r + y)2 = z2 + 4(1/2ry) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.
Answer:
x+y
Z2
1/2xy
Step-by-step explanation:
(x+y)^2 finds the area of the outer square by squaring its side length.
z^2 + 4 (1/2xy) finds the area of the outer square by adding the area of the inner square and the four triangles.
What is the answer to this question?
Answer:
The answer is 480 in^3
Step-by-step explanation:
Right rectangular prism calc - find V
volume = h * w * l where h is prism height, w is its width and l its length.