Answer:
sinθ = 3/5cosθ = 4/5
Given Point (16, 12) To find Sine and cosine of the angle, using the given coordinatesSolution
Since both of the coordinates are positive, we have:
the angle θ is in the first quadrant, both sine and cosine have positive values;the x-coordinate determines the value of adjacent leg;the y-coordinate determines the value of opposite leg.Find the hypotenuse of the right triangle using values of both legs:
[tex]h=\sqrt{ x^2+y^2}=\sqrt{16^2+12^2}= \sqrt{400} =20[/tex]Find sine:
sine = opposite/hypotenusesinθ = 12/20 = 3/5Find cosine:
cosine = adjacent/hypotenusecosθ = 16/20 = 4/5This question is based on the box plot below: How is the data distributed?
The distribution is right skewed.
What is the data distribution?A box plot is graph that is used to display data. The box plot is made up of two whiskers that are on either sides of a box. The first line on the box is the first quartile, the second line is the median and the third line is the third quartile.
When the median is closer to the bottom of the box, and if the whisker is shorter on the lower end of the box, the data is right skewed.
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Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose curve, limacon, etc), and state the domain, range, and maximum r-value of the graph. State whether the graph is continuous and whether it is bounded. Describe any symmetry the graph has. Give the equations of any asymptotes or state that the graph has no asymptotes. theta = pi / 5
The shape of the graph = rose
The domain = all real numbers
Range = [-2,2]
Maximum r-value = Symmetric about the x-axis
The graph is continuous = Yes
Is it bounded = Yes
Any asymptotes = No
This is further explained below.
What is a graph?Generally, the graph is simply defined as a graph is a graphical representation of a relationship, usually between two variables, where each variable is shown along with one of two orthogonal axes.
In conclusion, there is no break in the graph, and it has finite limits.
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7. Use the distributive property (and your wits!) to write each of the following expressions as a polynomial in standard form.
(u^7+u^3+1)(u-1)(u^5+u^4+u^3+u^2+u+1)
The simplification form of the provided polynomial is u¹³ + u⁹ -u⁷ + u⁶ - u³ - 1 after using the distributive property.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have an expression:
[tex]= \rm \left(u^7+u^3+1\right)\left(u-1\right)\left(u^5+u^4+u^3+u^2+u+1\right)[/tex]
After using the distributive property and simply it.
[tex]\rm =\left(u^8-u^7+u^4-u^3+u-1\right)\left(u^5+u^4+u^3+u^2+u+1\right)[/tex]
[tex]\rm =u^{13}+u^9-u^7+u^6-u^3-1[/tex]
Thus, the simplification form of the provided polynomial is u¹³ + u⁹ -u⁷ + u⁶ - u³ - 1 after using the distributive property.
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Question 3
What is the value of x in the regular polygon at the right?
H
Question 4
3x°
1 pts
1 pts
Answer:
X = 20°given a regular polygon which means that it's all sides are equal and all angles are equal
one angel of a polygon is 3x
the sum of all the angles of a polygon = 360°
3x + 3x + 3x + 3x + 3x + 3x = 360°
18x = 360°
x = 20°
Dan went on a drive. He modeled the relationship between the distance he drives D (in kilometers) and the remaining fuel in his tank C (in liters) as C=40-0.1D. He wanted to graph the relationship for the entire distance of his drive, which was 100 kilometers. What mistakes did Dan make when drawing the graph?
Answer:
B
Step-by-step explanation:
the entire distance was 100 km, but the other 200 km on the x axis is unnecessary
Answer:
A
Step-by-step explanation:
khan acadamy
A financial planner has three portfolios: A, B, and C. Because investors have different tolerances for risks, 35% of people are likely to invest in portfolio A, 25% are likely to invest in B, and 40% are likely to invest in C. Each portfolio has both stocks and bonds, and investors are equally likely to choose either.
This is a tree diagram that represents the probability of investors choosing the different financial products.
What is the probability of an investor choosing both stocks AND bonds from portfolio B?
The probability of an investor choosing both stocks AND bonds from portfolio B is 0.25 or 25%.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
A financial planner has three portfolios: A, B, and C.
Each portfolio has stocks and Bond
P(stock) = 0.5
P(bond) = 0.5
Customers are equally likely to choose stocks.
P(stock and bond from B) = P(stock, B) + P(bond, B)
= 0.25×0.5 + 0.25×0.5
= 0.25 or
= 25%
Thus, the probability of an investor choosing both stocks AND bonds from portfolio B is 0.25 or 25%.
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Calculate the difference in the proportion of males and the proportion of females that smoke. Give your answer to 2 decimal places
The difference in the proportion of males and the proportion of females that smoke is 0.08
Missing informationIn a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.
How to determine the proportion difference?The given parameters are:
Male Female
Sample 61 48
Smokers 15 8
The proportion is calculated using:
p = Smoker/Sample
So, we have:
Male = 15/61 = 0.25
Female = 8/48 = 0.17
The difference is then calculated as:
Difference = 0.25 - 0.17
Evaluate
Difference = 0.08
Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08
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What is the answer? i need help so bad....
Answer:
18
Step-by-step explanation:
(6 * 3 ) - (8 * 0) = 18
how can pascal's triangle be useful in finding probabilities? 30 point for thisss I need help
Answer: The coefficients of binomial expansions are calculated using Pascal's triangle.
Please help me i would really appreciate it, I really dont want to fail the assignment!!!
The ordered pair of the solution for the system of equation area are (2, -3) and (3, -3)
How to solve system of equation?f(x) = x² - 5x + 3
f(x) = -3
Therefore,
-3 = x² - 5x + 3
x² - 5x + 3 + 3 = 0
x² - 5x + 6 = 0
x² - 2x - 3x + 6 = 0
x(x - 2) - 3(x - 2) = 0
(x - 3)(x - 2) = 0
x = 3 or 2
when x = 2
f(x) = 4 - 10 + 3 = -3
when x = 3
f(x) = 9 - 15 + 3 = -3
Therefore, the ordered pair of the solution for the system of equation are (2, -3) and (3, -3)
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Can someone help me?
Answer:
A. 7 and 3D. 1 and 5PLEASE HELP ME I'LL MARK U AS BRAINLIEST IF U GIVE ME THE RIGHT ANSWERS + GOT QUESTION A RIGHT JUST NEED QUESTION B AND C'S ANSWER
answer for b
catch the 9:10 bus from Beasley.
answer for c
10:06
hope this might help u.
Answer:
Answer for B is 9:10 for Beasley and The answer for C is 10:06
Step-by-step explanation:
Progress
Solve for x. Round to the nearest tenth, if necessary
Answer:
x ≈ 1.1
Step-by-step explanation:
using the cosine ratio in the right triangle
cos41° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{0.8}{x}[/tex] ( multiply both sides by x )
x × cos41° = 0.8 ( divide both sides by cos41° )
x = [tex]\frac{0.8}{cos41}[/tex] ≈ 1.1 ( to the nearest tenth )
One forth of one third of two fifths of a number is 15. What is the number?
A fourth of a third of two fifths is a thirtieth.
(1 x 1 x 2) / (4 x 3 x 5) = 2 / 60 = 1 / 30
A thirtieth of a number () is fifteen, the number is four hundred and fifty.
= 15 / (1 / 30) = 15 x 30 = 450
forty percent of four hundred and fifty is one hundred and eighty.
(450 / 100) x 40 = 180
Answer:
The number is 450
Step-by-step explanation:
One fourth is 1/4,
One third is 1/3
and two fifths is 2/5
let the number be x.
So,
One fourth of one third of two fifths of x is 15.
that is,
1/4 * 1/3 * 2/5 * x = 15
2/4*3*5* x = 15
2/60 * x = 15
1/30 * x = 15
1 * x = 15*30
x = 450
Therefore the number is 450
Write an equation for a circle with center (-2, 8) and radius 9.
The equation for a circle with a center (-2, 8) and a radius of 9 will be (x + 2)² + (y − 8)² = 81.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
Write an equation for a circle with a center (-2, 8) and a radius of 9.
Then the equation will be
(x + 2)² + (y − 8)² = 9²
(x + 2)² + (y − 8)² = 81
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Geometry fence problem. Need help solving
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. which equation represents this situation? 6x2 5x - 4 = 0 6x2 5x 4 = 0 62x 5 x = 4 6 x2 5x = 4
Answer:
The answer would be 6x^2 + 5x - 4 = 0
6 less than a number is less than the quotient of the number and 3.
Answer:
x<9
Step-by-step explanation:
x-6<x/3
3(x-6)<x
3x-18<x
3x-x<18
2x<18
X<18/2
X<9
simplify √125+√45-√20
Answer:
[tex]6\sqrt{25}[/tex]
Step-by-step explanation:
[tex]\sqrt{125} = 5\sqrt{5} \\\sqrt{45} = 3\sqrt{5} \\\sqrt{20} = 2\sqrt{5} \\5\sqrt{5} + 3\sqrt{5} -2\sqrt{5} =6\sqrt{25}[/tex]
Solve the following system of equations. What is one x-value of a solution? f(x)=x^(2)+7x-24 g(x)=-3x-40
One x- value of the solution is : -2 or -8
What is an equation?An Equation is an algebraic statement that shows that two quantities are equal.
Analysis:
for one x-value of a solution, f(x) = g(x)
[tex]x^{2}[/tex] + 7x -24 = -3x - 40
[tex]x^{2}[/tex] +7x +3x -24 +40 = 0
[tex]x^{2}[/tex] + 10x +16 = 0
[tex]x^{2}[/tex] +8x +2x +16 = 0
x(x+8) +2(x+8) = 0
(x+2)(x+8) = 0
x = -2 or -8
In conclusion, the values of x are -2 or -8
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The average daily high temperature in [tex] ^{\circ}C[/tex] in Karachi, Pakistan, on the [tex]t^{\text{th}}[/tex] day of the year is approximately
[tex]\qquad T(t) = 29 - 5\cos\left(\dfrac{2\pi (t- 12)}{365}\right)[/tex]
What are the highest and lowest average daily highs in Karachi? Give exact answers.
[tex]\rule{250pt}{2pt}[/tex]
Please explain it "thoroughly" in 'sentences' and with mathematical expression how exactly you'd figure out the answer. I know the answer. I need an elaborate explanation of the method. It's an imperative part of the question to explain your answer otherwise your answer would be considered incomplete
Giving 25 points, thanks (both in your answer and profile)!5 stars and of course brainliest!!!
Given expression
[tex]\\ \rm\Rrightarrow T(t)=29-5cos\left(\cfrac{2\pi (t-12)}{365}\right)[/tex]
Now
We know according to property of cosine function
It has range of [-1,1] for all intervals .This property is enough for our calculations
Let's check
As t represents no of days hence it can't be negative
t must be a whole number set memberSo
for positive interval
We shall use the cosine interval [0,π]We know that
cosπ is -1cos0=1Hence it's enough for our range [-1,1]
Now
In the expression
29 is the vertical shiftLet
[tex]\sf cos\left(\cfrac{2\pi(t-12)}{365}\right)=n[/tex]
Substitute n for lowest and highest value of range
When n=-1
[tex]\\ \rm\Rrightarrow T(\pi)=29-5(-1)=29+5=34°C[/tex]
When n=1
[tex]\\ \rm\Rrightarrow T(0)=29-5(1)=29-5=24°C[/tex]
Highest average daily high=34°Clowest average daily high=24°CAnswer:
Highest temperature: 34°C
Lowest temperature: 24°C
Explanation:
In a Normal Trigonometry Function: y = A + B sin(x) or y = A + B cos(x)
Maximum value: A + |B|
Minimum value: A - |B|
In this trigonometric function, A = 29, B = -5
Hence find minimum/maximum:
Maximum value: A + |B| = 29 + |-5| = 34
Minimum value: A - |B| = 29 - |-5| = 24
Hence, the maximum/highest temperature is 34°C and minimum/lowest temperature is 24°C in Karachi, Pakistan.
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Hi I need help
1) -15+4r=-9
2)5-y/3=-1
3)42=5x-8
That's all, you don't have to show work, but I'd appreciate it:) asap pls
Equation #1:
-15+4r=-9We move all terms to the left:
-15+4r-(-9)=0
We add all the numbers together, and all the variables
4r-6=0
We move all terms containing r to the left, all other terms to the right
4r=6
r=6/4
r=1+1/2
Equation #2:
5-y/3=-1We move all terms to the left:
5-y/3-(-1)=0
We add all the numbers together, and all the variables
-y/3+6=0
We multiply all the terms by the denominator
-y+6*3=0
We add all the numbers together, and all the variables
-1y+18=0
We move all terms containing y to the left, all other terms to the right
-y=-18
y=-18/-1
y=+18
Equation #3:
Simplifying
42 = 5x + -8
Reorder the terms:
42 = -8 + 5x
Solving
42 = -8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
42 + -5x = -8 + 5x + -5x
Combine like terms: 5x + -5x = 0
42 + -5x = -8 + 0
42 + -5x = -8
Add '-42' to each side of the equation.
42 + -42 + -5x = -8 + -42
Combine like terms: 42 + -42 = 0
0 + -5x = -8 + -42
-5x = -8 + -42
Combine like terms: -8 + -42 = -50
-5x = -50
Divide each side by '-5'.
x = 10
Simplifying
x = 10
Step-by-step explanation:
hope it's beneficial.
Draw my attention for further explanations.✨✨
Solve for x......
[tex]4x + 10 = 2x + 26[/tex]
Answer:
x=8
Step-by-step explanation:
4x+10 = 2x+26
4x-2x+10=2x-2x+26 [Subtract 2x from both sides]
2x+10=26
2x + 10 - 10 = 26 - 10 [Subtract 10 from both sides]
2x = 1
2x/2 = 16/2 [Divide both sides by 2]
x = 8
CHECK:
Does 4x+10 = 2x+26 when x is 8?
4(8)+10 = 2*(8)+26 ?
32+10 = 16+26 ?
42 = 42 YES
Answer:
[tex]\large \boxed{\sf x =8}[/tex]
Explanation:
[tex]\sf \rightarrow 4x + 10 = 2x + 26[/tex]
collect like terms
[tex]\sf \rightarrow 4x -2x = 26-10[/tex]
subtract like terms
[tex]\sf \rightarrow 2x = 16[/tex]
divide both sides by 2
[tex]\sf \rightarrow x = 8[/tex]
The charge for skating is $6.35 for skate rental, 1 hours
of skating at $18 per hour, and an additional $1 fee.
What is the total cost (c) for skating?
Answer:
c = 25.35
Step-by-step explanation:
Comment
Cost (c) = skate rental + time + miscellaneous
Givens
skate rental = 6.35 / hourusing the rink = 18.00miscellaneous = 1Answer
Cost = 6.35 + 18.00 + 1
Cost = 25.35 , but 24.35 is an hourly charge,
If h(x) = 5 + x and (x) =
XE
which expression is equivalent to (kh)(x)?
The value of composite function (koh)(x) is 1/(5+x) after plugging h(x) = 5+x in the k(x) option (B) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The question is:
if h(x)=5+x and k(x)=1/x which expression is equivalent to (koh)(x)
Answer options are:
A).(5+x)/xB). 1/(5+x)C). 5+(1/x)D). 5+(5+x)We have:
h(x) = 5 + x
k(x) = 1/x
To find the composite function:
(koh)(x):
= k(h(x))
= 1/(5+x)
Thus, the value of composite function (koh)(x) is 1/(5+x) after plugging h(x) = 5+x in the k(x) option (B) is correct.
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Need help with this math question (pic included)
Answer:
8
Step-by-step explanation:
If the only zero for this function is at x = - 4 it looks like this:
f(x) = (x+4)(x+4) = x^2 +8x + 16 so j = 8
Answer:
Step-by-step explanation:
x² +jx +k = 0
If there is only one root ( - 4 ), then (x + 4)² = 0
or
x² + 8x + 16 = 0
j = 8 and k = 16
Work out the surface area of this cylinder...
Give your answer in terms of л.
Answer:
Step-by-step explanation:
An adult male cheetah runs at a speed of 26 mph. That is 30% faster than his average last month. How fast did the male cheetah run last month?
Sadie makes 1.5 liters of iced tea. She pours of a liter into a pitcher to take to her neighbor. Her sister drinks of the remaining iced tea. How much tea does Sadie’s sister drink?
Answer:
20 mph
Step-by-step explanation:
First problem:
The new speed is 26 mph.
The old speed was x.
The new speed is 30% higher than the old speed.
1.3x = 26
x = 20
Answer: 20 mph
Second problem:
A number, perhaps a percent or a fraction, is missing from the problem.
You went to an electronics store and would like to buy a TV priced at $1200. You only have $1000 to
spend and the store gives 15% discount on the TV. Can you buy the TV? Explain
Which expression is not a polynomial?
x³
x² - 2x
x³ +1
12x
Answer:
12x
Step-by-step explanation:
It has no exponent so it is not a polynomial