Using linear functions, it is found that the two plans will donate the same amount for 4 miles.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the functions for the amount donated with n miles are given by:
f1(n) = 10 + 0.5n.f2(n) = 4 + 2n.They will donate the same amount for n miles as such:
f1(n) = f2(n).
10 + 0.5n = 4 + 2n.
1.5n = 6
n = 6/1.5
n = 4.
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In the diagram below of ABC, AB ≅ AC, m∠A = 3x, and m∠B = x + 20.
What is the value of x?
A. 10
B. 28
C. 32
D. 40
Answer: B)28
Step-by-step explanation:
For circle B, BG = BE, BG is perpendicular to DC, and BE is perpendicular to FA. What conclusion can be made? a circle with center B and chords DC and FA, a segment from B to chord DC intersect chord DC at G, and a segment from B to chord FA intersects chord FA at E segment DC is parallel to segment FA segment CD is congruent to segment EB segment GB is parallel to segment EB segment DC is congruent to segment FA
Base on the equidistant chords theorem, chords FB and DA are congruent because they are equidistant from C.
What is the Equidistant Chords Theorem?The equidistant chords theorem states that two chords in the same circle are congruent to each other, if they are equidistant from the center of the circle.
Thus, based on the information given we can conclude that chords FB and DA are congruent because they are equidistant from C based on the equidistant chords theorem.
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Answer:
Its D The one at the top is incorrect.
Step-by-step explanation:
I got A 100% which means i got it right...
find the area of a trapezoid
Answer:
see explanation
Step-by-step explanation:
the area (A) of a trpezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
b₁, b₂ are the parallel bases and h the perpendicular height between them
(1)
b₁ = 12, b₂ = 8 , h = 5
A = [tex]\frac{1}{2}[/tex] × 5 × (12 + 8) = 2.5 × 20 = 50 cm²
(2)
b₁ = 6 , b₂ = 4 , h = 3
A = [tex]\frac{1}{2}[/tex] × 3 × (6 + 4) = 1.5 × 10 = 15 cm²
(3)
b₁ = 7 , b₂ = 4 , h = 4
A = [tex]\frac{1}{2}[/tex] × 4 × (7 + 4) = 2 × 11 = 22 cm²
Answer:
see explanation
Step-by-step explanation:
the area (A) of a trpezoid is calculated as
A = \frac{1}{2}21 h (b₁ + b₂ )
b₁, b₂ are the parallel bases and h the perpendicular height between them
(1)
b₁ = 12, b₂ = 8 , h = 5
A = \frac{1}{2}21 × 5 × (12 + 8) = 2.5 × 20 = 50 cm²
(2)
Help. I will give points
Answer:
arc sr
Step-by-step explanation:
i can't see the options for the question so lol
im gonna say its sr arc
pls help ill give brainliest
Answer:
y = -3x + 2
Step-by-step explanation:
use the slope formula to find the slope
replace x and y into slope intercept form with the slope you just found
3. Suppose a retail business sale its commodities at a margin of 25% on all items purchased and sold. Moreover the company uses 5% commission as selling expense and Birr 12,000 as a Fixed Cost, then Find the Breakeven revenue for the retail business after developing the equation
The Breakeven revenue for the retail business is Birr 12,500
What is breakeven?
Breakeven is the point at which the revenue is equals to the cost, hence the profit is zero.
Revenue = Cost
Let x represent the number of items sold, hence:
Revenue = (100% + 25%) of x = 1.25x
Cost = 5% of x + 12000 = 0.05x + 12000
At breakeven:
1.25x = 0.05x + 12000
x = 10000
Hence:
Revenue = 1.25(10000) = Birr 12,500
The Breakeven revenue for the retail business is Birr 12,500
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Answer 3. and 4. Please help me
Question 3
Let the number of times an odd number was chosen be x. Then, the number of times an even number was chosen is x+4.
[tex]x+x+4=50\\\\2x+4=50\\\\2x=46\\\\x=23[/tex]
So, the answer is 23 times.
Question 4
If 8 ordered pizza, 4 did not order pizza.
[tex]\frac{4}{12}=\frac{1}{3}[/tex]
So, the answer is 1 out of 3.
The pendulum of a clock swings through an angle of 2.5 radians as its tip
travels through an arc of 50 centimeters. Find the length of the pendulum, in
centimeters.
r = 50/2.5 = 20 cm
------------------------
Clock pendulums swing 8 degrees or less, which is an included angle of ~0.28 radians
Simplify the expression. 5^–3 • 7^0
a)–15
b)0
c)125
d)1/125
= 5^-3 × 7⁰
= 1/5³ × 1. ( a^-m = 1/a^m ), ( a⁰ = 1 )
= 1/125 × 1
= 1/125 ANSWER
given sin0= 2/3 and angle 0 is in quadrant 2, what is the exact value of cos0 in simplest form? simplify all radicals if needed
Answer: ( -[tex]\sqrt{5}[/tex] / 3)
Step-by-step explanation:
sin(angle) = opposite/hypotenuse
opposite =2
hypotenuse = 3
solve for adjacent side with pythagorean theorum
opposite^2 + adjacent^2 = hypotenuse^2
2^2 + adjacent^2 = 3^2
4 + adjacent^2 = 9
adjacent^2 = 9 - 4
adjacent^2 = 5
adjacent = [tex]\sqrt{5}[/tex]
-[tex]\sqrt{5}[/tex] since it is in the second quadrant
cosx = (adjacent/hypotenuse)
cosx = (-[tex]\sqrt{5}[/tex]/3)
(-[tex]\sqrt{5}[/tex]/3)
The function f(t) = 3 cos(pi over 6t) + 5 represents the tide in Blastic Sea. It has a maximum of 8 feet when time (t) is 0 and a minimum of 2 feet. The sea repeats this cycle every 12 hours. After nine hours, how high is the tide? 12 feet 5 feet 4.5 feet 2.5 feet
Answer:
5 feet
Step-by-step explanation:
[tex]f(t) = 3 cos \bigg( \frac{\pi}{6} t\bigg) + 5 \\ \\ plug \: t = 9 \\ \\ \implies \: f(9) = 3 cos \bigg( \frac{\pi}{6} \times 9 \bigg) + 5 \\ \\\implies \: f(9) = 3 cos \bigg( \frac{3\pi}{2}\bigg) + 5 \\ \\\implies \: f(9) = 3 cos \bigg( \pi + \frac{\pi}{2}\bigg) + 5 \\ \\\implies \: f(9) = - 3 cos \bigg( \frac{\pi}{2}\bigg) + 5 \\ [ \because \: cos ({\pi}+\theta) = -\cos \theta]\\\\\implies \: f(9) = - 3 (0) + 5 \\ ( \because \: cos \frac{\pi}{2} = 0) \\ \\ \implies \: f(9) = 0 + 5 \\ \\ \implies \: \huge{ \orange{f(9) = 5 }}[/tex]
Find the value of :
Answer:
i) 66
ii) 536
Step-by-step explanation:
Check attachement(s) for solution.
Attachment - 1: Solution (i)Attachment - 2: Solution (ii)Answer all 6 pictures/questions !!
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
First, identify the three vectors in component form (remember to have the direction angle for each vector account for the quadrants they are in!):
[tex]u=\langle90\cos220^\circ,90\sin220^\circ\rangle\\v=\langle 60\cos110^\circ,60\sin110^\circ\rangle\\w=\langle 40\cos30^\circ,40\sin30^\circ\rangle[/tex]
Secondly, we add them:
[tex]u+v+w=\langle90\cos220^\circ+60\cos110^\circ+40\cos30^\circ,90\sin220^\circ+60\sin110^\circ+40\sin30^\circ\rangle\approx\langle-54.824,18.531\rangle[/tex]
Thirdly, find the magnitude of the new vector:
[tex]||u+v+w||=\sqrt{(-54.824)^2+(18.531)^2}\\||u+v+w||\approx57.871[/tex]
And finally, find the direction of the new vector:
[tex]\theta=tan^{-1}(\frac{18.531}{-54.824})\\\theta\approx-18.675^\circ\approx-19^\circ[/tex]
Because our new vector is in Quadrant II, our found direction angle is a reference angle, telling us that the actual direction of our vector is 19° clockwise from the negative x-axis, which would be 180°-19°=161°
Thus, B is the best answer
Problem 2
To find the component form of a vector, we simply subtract the initial point from the terminal point. In this case, our initial point is at (7,-1) and our terminal point is at (1,6). We subtract the horizontal and vertical components separately:
[tex]\langle1-7,6-(-1)\rangle=\langle-6,7\rangle[/tex]
Thus, A is the correct answer
Problem 3
Again, subtract the initial point from the terminal point to find the vector, and then apply scalar multiplication:
[tex]-\frac{1}{2}v=-\frac{1}{2} \langle-8-8,10-4\rangle=-\frac{1}{2}\langle-16,6\rangle=\langle8,-3\rangle[/tex]
Thus, C is the correct answer
Problem 4 (top one in 4th image)
Remember that scalar multiplication only affects the magnitude of the vector and not the direction. Thus, [tex]-3u=-3\bigr[20\langle\cos30^\circ,\sin30^\circ\rangle\bigr]=-60\langle\cos30^\circ,\sin30^\circ\rangle[/tex], which means our magnitude is -60 and our direction remains 30°.
Thus, B is the correct answer
Problem 5 (fake #6, bottom one in 4th image)
Basically, whatever is in front of the i represents the horizontal component, and whatever is in front of the j represents the vertical component, so:
[tex]u=-3i+8j=\langle-3,8\rangle[/tex]
Thus, B is the correct answer
Problem 6 (real one, 5th image)
Recall:
Two vectors are said to be orthogonal if their dot product is 0 and are perpendicular to each other (form a 90° angle)Two vectors are said to be parallel if the angle between the vectors is 0° or 180° i.e. cosθ=-1Knowing these facts, let us compute the dot product:
[tex]u\cdot v=(-4*28)+(7*-49)=(-112)+(-343)=-455[/tex]
Since the dot product of the two vectors is not 0, then the vectors are not orthogonal, so we can eliminate choices A and B
To check if the vectors are parallel, find the angle between them:
[tex]\displaystyle\theta=cos^{-1}\biggr(\frac{u\cdot v}{||u||\:||v||}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{\sqrt{(-4)^2+(7)^2}\sqrt{(28)^2+(-49)^2}}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{\sqrt{16+49}\sqrt{784+2401}}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{\sqrt{65}\sqrt{3185}}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{\sqrt{207025}}\biggr)\\\\\theta=cos^{-1}\biggr(\frac{-455}{455}\biggr)\\\\\theta=cos^{-1}(-1)\\\\\theta=180^\circ[/tex]
So, since the angle between the two vectors is 180°, this implies that cosθ=-1, and the two vectors must be parallel.
Thus, D is the correct answer
Suppose $f(3) = 4$. Name a point that must be on the graph of $y=f(x)+4.$
Enter your answer as an ordered pair.
Answer:
(x, y) = (3, 8)
Step-by-step explanation:
The graph for y is a translation upward 4 units of the graph of f(x).
__
A point on the graph of f(x) is given as ...
(x, f(x)) = (3, f(3)) = (3, 4)
Then a point on the graph of y will be ...
(x, y) = (x, f(x) +4)) = (3, f(3)+4) = (3, 4 +4)
(x, y) = (3, 8)
what is 70-(5x2)+18 with explanation and step please
Step-by-step explanation:
Please Mark me brainliestAnswer:
78
Step-by-step explanation:
70 - (5 x 2) + 18We should solve according to the order of operations, PEMDAS.
P = ParenthesesE = ExponentsM = MultiplicationD = DivisionA = AdditionS = Subtraction#1) Parentheses
70 - (5 x 2) + 1870 - 10 + 18#2) Subtraction
70 - 10 + 1860 + 18#3) Addition
60 + 1878last year a company made a profit of one and a quarter million dollars.Each year the company reinvests 1/3 of the profit How much of this profit eill they reinvest
Answer:
$83,333
Step-by-step explanation:
1 000 000*1/4
250 000
250 000*1/3 = 83 333.33
what would be the best response to the question in the picture above please respond soon. (will give brainliest)
Now consider the product of a nonzero rational number and an irrational number. Again, assume x = where a and b are integers and b#0. This time lety be an irrational number. If we assume the product x.y is rational, we can set the product equal to where mand n are integers and n = 0. The steps for solving this equation for y are shown. Statement Reason cy= 02 72 D.y= substitution 8 y = multiplication property of equality a mb na Simplify Based on what we established about the classification of y and using the closure of integers, what does the equation tell you about the type of number y must be for the product to be rational? What conclusion can you now make about the result of multiplying a rational and an irrational number?
Answer:
The product of a rational number with an irrational number is an irrational number. To see this assume that x is a rational number and y an irrational number. Then let us assume that the product xy is rational, which means that there are integers a,b such that xy=a/b. But then we obtain y=(1/x)(a/b) which is also rational since the set of rational numbers is closed under multiplication. But this is a contradiction since y was assumed to be an irrational number.
Step-by-step explanation:
Question:Now consider the product of a nonzero rational number and an irrational number. Again, assume x =a/b , where a and b are integers and b ≠ 0. This time let y be an irrational number. If we assume the product x · y is rational, we can set the product equal to m/n, where m and n are integers and n ≠ 0. The steps for solving this equation for y are shown. Based on what we established about the classification of y and using the closure of integers, what does the equation tell you about the type of number y must be for the product to be rational? What conclusion can you now make about the result of multiplying a rational and an irrational number?
Answer:2
Please help me on this. you will get 100 points!!!!!!!!!!!!!!!!!!!!!!
Circle One:
No
Explain:
The chart shows that teenagers get roughly between 7 - 8 and 1/2 hours of sleep every night. It shows that no teenagers get 9 and 9 and 1/2 hours of sleep. This is why their data does not support the delay to starting time.
SOMEONE PLEASE HELP!!!! ILL GIVE BRAINLIEST
Answer:
Your Answer is A.
Step-by-step explanation:
Looking at the picture the LM is the original and wants to translate it to L'M'.
So Right 5 and 2 up.
Answer:
A
Step-by-step explanation:
LM is 5 units away from LM'
LM is 2 units down from LM'
BRAINLIEST please if this helped!Find the circumference.
Use 3.14 for π.
r = 2m
C = [?] m
C=πd
circumference = 12.57m
hope it helps...!!!
Find the two correct values of x in the equation 3x² = y when y = 75.
Answer:
5 and -5
Step-by-step explanation:
3x² = 75
x² = 75/3
x² = √25
x = 5 and - 5
439,532 written in verbal form
Answer:four hundred and thirty nine thousand five hundred and thirty two
Step-by-step explanation:
Answer:
four hundred thirty nine thousand, five hundred thirty two
Step-by-step explanation:
Hope this helps :)
(x+35)(2x + 1). How do I do this
Answer:
Split brackets method see below
Step-by-step explanation:
(x+35)(2x + 1)x(2x + 1)+35(2x + 1)2[tex]x^{2}[/tex] + x + 70x + 352[tex]x^{2}[/tex] + 71x +35Which confidence level would produce the widest interval when estimating
the mean of a population based on the mean and standard deviation of a
sample of that population?
A. 31%
B. 57%
O C. 69%
D. 42%
Answer:
C 69
Step-by-step explanation:
The correct option for Which confidence level would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population is C. 69%
What is the population in simple words?
A population is the number of living people that live together in the same place. A city's population is the number of people living in that city. These people are called inhabitants or residents. The population includes all individuals that live in that certain area.
Conclusion: It can be a group of people, objects, events corporations, and so forth. you use populations to attract conclusions. determine 1: population. An example of a population would be the complete scholar body at a faculty. it'd consist of all of the college students who examine in that university at the time of statistics collection.
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What is the mode of the data represented in this line plot? Enter your answer in the box. A dot plot on a number line. The number line ranges from 5 to 11. The number 5 has 2 marks above it. The number 6 has 4 marks above it. The number 7 has 3 marks above it. The number 8 has 6 marks above it. The number 9 has 2 marks above it. The number 10 has 4 marks above it. The number 11 has 2 marks above it.
The mode of the data in the line plot is the data with the highest number of marks
The mode of the data is 8
How to determine the mode?From the line plot, we have the following frequency table:
Number Frequency
5 2 marks
6 4 marks.
7 3 marks
8 6 marks
9 2 marks
10 4 marks
11 2 marks
The number with the highest mark is 9
Hence, the mode of the data is 8
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Answer: The mode is 8
Step-by-step explanation: Mode means the number that shows up must in the graph and since 8 is the highest that goes the mode is 8. Also I did the k12 quiz.
PLEASE HELP ME WITH THIS!!!
Complete the sentence.
a figure but does not change its
A rotation is a transformation that
shape or size
A. flips
O B..dilates
O C. slides
O D. turns
SUBMI
Answer:
is TURNS
Step-by-step explanation:
A figure but does not change its shape and size is Turns.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items.
A flip is a geometric movement that involves turning an object over in a straight line to create a mirror image. The distance between each point on an object and its corresponding point on the picture is equal. A reflection is another name for a flip.
Thus, thus required transformation is Turns.
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If the function f(x) is change to g(x) what transformation has occurred?
(5 Points)
f (x) = 3x - 7 and g (x) = 3x + 3
The graph of g is a vertical strecth.
The graph of g is 3 units above f
• The graph of g is 10 units above f
Answer:
Step-by-step explanation:
If the function f(x) is change to g(x) what transformation has occurred?
(5 Points)
f (x) = 3x - 7 and g (x) = 3x + 3
The graph of g is a vertical strecth.
The graph of g is 3 units above f
• The graph of g is 10 units above f
3(1) to the power of 2
Answer:
9
Step-by-step explanation:
Raising a number to the second means multiplying that number. 3 * 3 = 9
A mechanic charges his customers $45 for every hour he works. He also charges the cost of parts.
For one job, he works 4.5 hours, and the parts cost $118. What is the total amount of money he
charges for the job?
Question is attached