Step-by-step explanation:
A(-4, 5) => A'(-4+2, -5) = A'(-2, -5)
B(-6, -4) => B'(-6+2, -(-4)) = B'(-4, 4)
C(4, -4) => C'(4+2, -(-4)) = C'(6, 4)
Hence the new coordinates are A'(-2, -5), B'(-4, 4) and C'(6, 4).
Find the slope of the line that passes through (10, 8) and (9, 13)
There are three modes of transporting material from Ontario to Florida, namely, by land, sea, or air. Also land transportation may be by rail or highway. About half of the materials are transported by land, 30% by sea, and the rest by air. Also, 40% of all land transportation is by highway and the rest by rail shipments. The percentages of damaged cargo are, respectively, 10% by highway, 5% by rail, 6% by sea, and 2% by air. (1) What percentage of all cargoes may be expected to be damaged? (2) If a damaged cargo is received, what is the probability that it was shipped by land? By sea? By air?
Answer:
0.057
0.6140
0.3158
0.0701
Step-by-step explanation:
Given that:
Let :
P(L) = Number transported by land = half = 50% = 0.5
P(S) = number transported by sea = 30% = 0.3
P(A) = Number transported by air = (100 - (50 + 30))% = 20% = 0.2
P(H) = highway transport = 40% of land transport = 0.4 * 0.5 = 0.2
P(R) = Rail shipment =(100- 40)% = 60% of land transport = 0.6 * 0.5 = 0.3
Percentage of damaged cargo :
Let probability of damage = P(d)
P(d | H) = 0.1
P(d | R) = 0.05
P(d | S) = 0.06
P(d | A) = 0.02
1) What percentage of all cargoes may be expected to be damaged
[P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]
(0.1*0.2) + (0.05*0.3) + (0.06*0.3) + (0.02*0.2) = 0.057
(2) If a damaged cargo is received, what is the probability that it was shipped by ;
land?
([P(d | H)*p(H)] + [P(d | R)*p(R)]) / [P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]
((0.1*0.2) + (0.05*0.3)) / (0.1*0.2) + (0.05*0.3) + (0.06*0.3) + (0.02*0.2)
= 0.035 / 0.057
= 0.6140
By sea?
[P(d | S)*p(S)] / [P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]
(0.06 * 0.3) / 0.057
= 0.3158
By air?
[P(d | A)*p(A)] / [P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]
(0.02 * 0.2) / 0.057
= 0.0701
85 POINT QUESTION!!! What is the equation of this trend line? Enter your answers by filling in the boxes. K = J + Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable J. The vertical axis is labeled Variable K. Points are plotted at begin ordered pair 2 comma 16 end ordered pair, begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 16 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 5 and 93 hundredths comma 9 and 62 hundredths end ordered pair, begin ordered pair six comma 12 end ordered pair, begin ordered pair 6 comma 16 end ordered pairm beign ordered pair 10 comma 2 end ordered pair, begin ordered pair 10 comma 8 end ordere dpair. A line is drawn through begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 6 comma 16 end ordered pair, and begin ordered pair 10 comma 8 end ordered pair.
The answer for this question would be K=-2J+28. I hoped I helped!
Answer:
K=-2J+28
Step-by-step explanation:
i took the k 12 test
What is the domain of the function y=2 /X-6? EXCO o osx
Answer:
last option
[tex]6 \leqslant x < \infty [/tex]
A cookie costs $1.95. How much would 15 cookies cost at the same price per cookie?
Answer:
cost of cookie = $1.95
cost of 15 cookies = $1.95 *15
cost of 15 cookies = $29.25
Step-by-step explanation:
A rectangle has an area of 24 square centimeters. If the length and width of the rectangle are multiplied by 5, what is the area of the new rectangle?
Answer:
it will be 5 x 5 bigger... or 25 times bigger than 24 or 600 [tex]cm^{2}[/tex]
Step-by-step explanation:
The required area of new rectangle is 600 square meters.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
Let the length of the rectangle = x cm,
And width of rectangle = y cm.
Given that,
The area of rectangle is 24 square centimeters.
The area of rectangle = length × width
xy = 24 (1)
When length and width are multiplied by 5,
The length becomes 5x and width becomes 5y,
The area of new rectangle = 5x × 5y
= 25 xy
Substitute the values of xy from equation (1),
Area = 25 × 24 '
= 600
The area of new rectangle is 600 square centimeters.
To know more about Rectangle on:
https://brainly.com/question/15019502
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The sprit club is making school jackets to sell. The cost c (in dollars) for silkscreening supplies and jackets is c=20x+270, where x is the number of jackets. The club sells each jacket for $35. Write an equation for revenue R in terms of the number of jackets. How many jackets must the club sell to break even?
Answer:
The club must sell 18 jackets to break even
Step-by-step explanation:
Given:
C = 20x + 270
Where,
x = number of jackets
Equation for revenue R in terms of the number of jackets
Revenue = price × quantity
Price of the jacket = $35
Quantity of the jacket = x
Revenue = price × quantity
= 35 * x
R = 35x
Break even point is the point at which cost is equal to revenue, that is, no gain; no loss.
Cost = revenue
20x + 270 = 35x
270 = 35x - 20x
270 = 15x
x = 270 / 15
= 18
x = 18 jackets
The club must sell 18 jackets to break even
Answer:
torture
Step-by-step explanation:
I was just working on a prblem like this and I hate it
Pls Answer the Question in the Photo
Triangle ABC has vertices at A(–2, 3), B(–3, –6), and C(2, –1). Is triangle ABC a right triangle? If so, which angle is the right angle?
Answer:
∠ACB is a right angle
Graph:
what should be done so that the expression 4+4 to the power of 2 - 5×2 will have a value of 10?
Answer: 8 x 8 = 64 - 10 = 64 so you need add the another times operation 64 - 54 x 1 = 10
The town of Euclid started a voluntary recycling program. The first year it was utilized by 1500 residents. Every year afterward, the number of new users was 120% of the new users the year before. After 6 years, how many people total were using the recycling program?
Answer:
170,070 residents
Step-by-step explanation:
Original population = 1500 residents
Total population after 6 years is calculated using the formula
A = P(1+r)^t
r is the rate = 120% = 1.2
t is the time = 6 years
P is the original population
A = 1500(1+1.2)^6
A = 1500(2.2)^6
A = 1500(113.379904)
A = 170,069.856
Hence the total people using the recycling program after 6 years is approximately 170,070 residents
winston earns $140.00 by selling 56 hotdogs at a concession stand at school. by using the same rate for the cost of one hotdog , how many more would Winston need to sell to earn $175.00?
I need help with this one please
Answer:
1. d) = g)
(3x - 2)(9x² + 6x + 4) = 27x³ - 8
2. e) = f)
(3x + 5) (3x - 4) = 9x² + 3x - 20
3. b) = h)
9x² - 24xy + 16y² = (3x - 4y)²
Step-by-step explanation:
From the above question, we are to find the pairs through expansion or factorisation
a) (3x + 2)(9x² - 6x + 4)
b) 9x² - 24xy + 16y²
c) (4x - 3y)²
d) (3x - 2)(9x² + 6x + 4)
e) (3x + 5) (3x - 4)
f) 9x² + 3x - 20
g) 27x³ - 8
h) (3x - 4y)²
a) (3x + 2)(9x² - 6x + 4)
We expand.
3x(9x² - 6x + 4) + 2(9x² - 6x + 4)
27x³ - 18x² + 12x + 18x² - 12x + 8
27x³ - 18x² + 18x² + 12x - 12x + 8
= 27x³ + 8
c) (4x - 3y)²
We expand
(4x - 3y) (4x - 3y)
4x(4x - 3y) - 3y ( 4x - 3y)
16x² - 12xy - 12xy + 9y²
16x² - 24xy + 9y²
d) (3x - 2)(9x² + 6x + 4)
We expand
3x(9x² + 6x + 4) - 2(9x² + 6x + 4)
27x³ + 18x² + 12x - 18x² - 12x - 8
27x³ - 18x² + 18x² + 12x - 12x - 8
= 27x³- 8
e) (3x + 5) (3x - 4)
We expand
3x(3x- 4) +5(3x - 4)
9x² - 12x + 15x - 20
9x² +3x - 20
h) (3x - 4y)²
We expand
(3x - 4y) ( 3x - 4y)
3x(3x - 4y) -4y(3x - 4y)
9x² - 12xy - 12xy - 16y²
9x² - 24xy - 16y²
Hence:
1. d) = g)
(3x - 2)(9x² + 6x + 4) = 27x³ - 8
2. e) = f)
(3x + 5) (3x - 4) = 9x² + 3x - 20
3) b) = h)
9x² - 24xy + 16y² = (3x - 4y)²
An aircraft on a reconnaissance mission takes off from its home base and flies 550 miles at a bearing of S 46° E to a location in the sea. It then flies 483 miles from the sea at a bearing of S 55° W to another location. Finally, the aircraft flies straight back from the second location to its base. What is the total distance it flies, rounded to the nearest mile?
A.
550 miles
B.
1,033 miles
C.
1,583 miles
D.
1,692 miles
E.
2,210 miles
============================================
Explanation:
A diagram is very handy for this type of problem. Refer to the diagram below (attached image). Here are the steps used to form the diagram
Plot point A and make that the home base. Plot point D directly south of point A. I'm skipping B and C because those will be used to form the triangle later.Imagine you are standing at point A and looking south at point D. Turn 46 degrees toward the east direction (this is what the notation "bearing of S 46° E" means). Then move 550 miles from A to land on point B. This is the location where the plane makes its first turn.Plot the points E and F, which are north and south of point B.Imagine we are at point B and looking directly south at point F. Turn 55 degrees toward the west, which is due to the "S 55° W" and then move 483 miles to arrive at point C. This is the plane's location where it turns around to go back to home base.The diagram below shows all of this visually summarized. We have the segments
AB = 550 milesBC = 483 milesAC = x milesAnd we have these angles
Angle DAB = 46 degrees and Angle ABE = 46 degrees (blue)Angle ABC = 79 degrees (red)Angle ACB = 55 degrees and Angle FBC = 55 degrees (green)Angle ABC comes from the fact that the blue and green angles add with the red angle to get 180. So we basically need to solve 46+y+55 = 180 which leads to y = 79.
------------------------------
Once the diagram is set up, we'll use the law of cosines to find x.
Focus on triangle ABC. Ignore points D,E,F. Ignore any extra lines as well.
The interior angles of triangle ABC are
A = 46 degreesB = 79 degreesC = 55 degreesThe sides opposite the angles are
a = 483 (opposite angle A)b = x (opposite angle B)c = 550 (opposite angle C)Now we can apply the law of cosines
b^2 = a^2 + c^2 - 2*a*c*cos(B)
x^2 = 483^2 + 550^2 - 2*483*550*cos(79)
x^2 = 434412.180756441
x = sqrt(434412.180756441)
x = 659.099522649229
x = 659
Side AC, or CA, is roughly 659 miles long.
------------
To find the total distance the plane travels, we add up the three sides of the triangle (ie we find the perimeter)
Distance Traveled = AB + BC + CA
Distance Traveled = 550 + 483 + 659
Distance Traveled = 1692 miles
Pls helpppppp! 25 points will mark brainliest!!!!!
That is the answer. Hope it helps!
Antonio completed the right column of the table to help him find the sum of 2/9 and 1/5.
Answer:
Step 1 is the first error
Step-by-step explanation:
Given
[tex]\frac{2}{9} + \frac{1}{5}[/tex]
Required
Which step contains the first error?
From the attachment, the first step is the first error.
This is so because the fractions can not be written as a fraction with a denominator of 14
Solving further:
[tex]\frac{2}{9} + \frac{1}{5}[/tex]
Find Common Denominator 45
[tex]\frac{2*5}{9*5} + \frac{1*9}{5*9}[/tex]
[tex]\frac{10}{45} + \frac{9}{45}[/tex]
Add:
[tex]\frac{10 + 9}{45}[/tex]
[tex]\frac{19}{45}[/tex]
How do you convert a rational exponent into a radical? Use proper terminology (numerator, denominator, index, radicand, power).
Answer: 1. Well, for one they both have a 'radicand' and you can arrange both of them in a fraction form.
2. Graph is increasing, there's an asymptotic value, the domain is all real numbers, the range is y > 0. If you add a constant, you are shifting it vertically, which means it's y-intercept will change by the magnitude of the constant.
3. Linear functions are a straight line with one definite slope. Exponential functions are basically curves with their slopes, not constantly, but changing. As you increase your x-values, the linear functions lacks behind, and the exponential one becomes very large.
4. I really don't know how to explain this, it's kind of confusing.
5. You can use the slope formula: (y2-y1)/(x2-x1). Plug in values, you get:
(12-8)/(4-2). This can be simplified to 4/2 or just 2. That's his average rate of change: 2 balls per day.
6. An arithmetic sequence adds on a specific value every time. For example: {1, 3, 5, 7...}
A Geometric sequence increases every time by a common ratio. For example: {2, 6, 18, 54...}
6. If it's relative to time, then you have a parametric equation dealing with time. Just like that, you can see that 1 variable changes with respect to the other, and that implies parametricity.
Step-by-step explanation:
9514 1404 393
Answer:
[tex]x^{a/b}=\sqrt[b]{x^a}=(\sqrt[b]{x})^a[/tex]
Step-by-step explanation:
The denominator of the fractional exponent becomes the index of the root. The exponent numerator is left as the power of the base. The exponent can be inside or outside the radical.
[tex]x^{a/b}=\sqrt[b]{x^a}=(\sqrt[b]{x})^a[/tex]
Please help me with this problem
Pls help me answer this question for my homework
Answer:
4
Step-by-step explanation:
2 goes to both A and B which makes it not a function because if I remember right the domain isnt allowed to repeat.
A textbook costs $65.49 before tax. The tax on the textbook is 6.5%.
What is the total cost of the textbook?
Round your answer to the nearest cent.
Enter your answer in the box.
Answer:
Step-by-step explanation:
the tax will cost
65.49*6.5=4.26
the total price of the book is
65.49+4.26=69.75
Answer:
70.74
Step-by-step explanation:
took the test (im in k-12) btw
Richard's cumulative GPA for 3 semesters_ was 2.0 for 42 credits. His fourth semester GPA was 4.0 for 14 course units. What is Richard's cumulative GPA for all 4 semesters
Answer:
Richard's cumulative GPA = 2.5
Step-by-step explanation:
Richard's cumulative GPA for 3 semesters was 2.0 for 42 credits.
Average = 2
Total credits = 42
Average = sum of terms/total no of terms
2 = sum of terms/42
sum of terms = 84 ....(1)
His fourth semester GPA was 4.0 for 14 course units
Average = 4
Total credits = 14
sum of terms = 56 .....(2)
Average for 4 semesters,
[tex]A=\dfrac{84+56}{42+14}\\\\A=2.5[/tex]
Hence, Richard's cumulative GPA for all 4 semesters is 2.5.
The function g is defined by:
g(x) = x² - x - 6
so
g (-4) = (-4)² - (-4) - 6 = 16 + 4 - 6 = 14
When g(x) = 6, we have
6 = x² - x - 6
x² - x - 12 = 0
Solve for x. We factorize this easily as
(x - 4) (x + 3) = 0
which gives
x - 4 = 0 or x + 3 = 0
x = 4 or x = -3
x + y = -3 ; y= x +3
Answer:
i dont know
Step-by-p explanation:
What is the value of the expression (2)?
Answer:
Where is the expresion ??
Step-by-step explanation:
Evaluate this expression for a=2 and b=3. (a+5)-b/b-4+2(b+3)/a
Answer:
16
Step-by-step explanation:
[tex](a+5)-\frac{b}{b-4}+\frac{2(b+3)}{a}\\\\a=2\\\\b=3\\\\(2+5)-\frac{3}{3-4}+\frac{2(3+3)}{2}\\\\=7-\frac{3}{-1}+3+3\\\\=7+3+6\\\\=16[/tex]
help me out here guys
9514 1404 393
Answer:
? = 9
Step-by-step explanation:
The segments of each of the transversals are proportional. On the left side, the bottom transversal segment will be 10 -6 = 4 units in length.
Now we can write a proportion relating right-side transversal segments to left-side transversal segments:
?/6 = 6/4
? = 6(6/4) = 36/4 = 9
The missing length is 9 units.
IMPORTANT!HELP
Write 9^5 ÷ 9^3 as a single power.
Answer:
81
Step-by-step explanation:
What is the image point of (-7, 4) after translation left 3 units and up 5 units
Answer:
(-2,1)
Step-by-step explanation:
up and right is adding to the current point so (-7+5,4)
down and left is subtracting to the current point so (-2,4-3)
If you combine them, you get: (-7+5,4-3)-which is (-2,1)
Find the value of c so that the polynomial p is divisible by (x+2)
Answer:
The value of c is 8.
Step-by-step explanation:
When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :
[tex]p(x) = 4 {x}^{3} + c {x}^{2} + x + 2[/tex]
[tex]p( - 2) = 4 {( - 2)}^{3} + c {( - 2)}^{2} + ( - 2) + 2[/tex]
[tex]4( - 8) + 4c - 2 + 2 = 0[/tex]
[tex] - 32 + 4c = 0[/tex]
[tex]4c = 32[/tex]
[tex]c = 32 \div 4[/tex]
[tex]c = 8[/tex]
Why might a person donate money to an organization focused on curing a deadly disease?
O To be part of a solution
O To be tax free this year
To satisfy receive discounts at a store
To satisfy a requirement
