Answers
Answer:
The first graph shows a slope of 3.
Step-by-step explanation:
If the slope is 3, it's actually 3/1 because of rise/run. So you find any point on the graph that's directly between two lines, like (-1,-5). Since the line is positive, you would go right one and up three. Then you see if that point is directly between two lines. The next point is (0, -2). If you did the same on the second graph, it wouldn't match up.
Related Questions
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
Answers
============================================
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
what is the area of a cube each side is 6 cm
Answers
Answer: 24.
Step-by-step explanation:
Answer:
A=126
hope that helps!!!!!!!!!!!
On a coordinate grid, point A is at (−3.0, −5.4) and point B is at (−3.0, 5.4). Point B is a reflection of point A across the
–axis. Input either a lowercase x or y. (1 point)
2
Answers
Answer:
y.
Point B is reflected at from point A at y-axis.
Pls Answer the Question in the Photo
Answers
Solve the proportion
fraction numerator 15 t over denominator 5 end fraction equals fraction numerator 2 t plus 3 over denominator 6 end fraction
Answers
Answer:
t = 3/16
Step-by-step explanation:
Solve the proportion fraction numerator 15 t over denominator 5 end fraction equals fraction numerator 2 t plus 3 over denominator 6 end fraction
From the above question, we are to solve for t
The above expression is written Mathematically as:
15t/5 = 2t + 3/6
We cross Multiply
15t(6) = 5(2t + 3)
90t = 10t + 15
Collect like terms
90t - 10t = 15
80t = 15
t = 15/80
t = 3/16
#3) A skier is at the top of his hill ready to ski down. The skier is now located at
(16,30) at the top of his hill and the bottom of the hill is located at (4,2). What is
the slope of the hill? (You must reduce fractions)
3/7
3/2
7/3
-7
Answers
Karen is solving the quadratic equation shown below x2+12x-1=0 x2+12x-1+1=0+1
Answers
The solutions to the quadratic equation x² + 12x - 1 = 0 are given by:
[tex]x = -6 \pm \sqrt{37}[/tex]
What is a quadratic function?A quadratic function is given according to the following rule:
y = ax² + bx + c
The solutions are given as follows:
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex][tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]In which:
[tex]\Delta = b^2 - 4ac[/tex]
For this problem, the equation is given by:
x² + 12x - 1 = 0.
The coefficients are:
a = 1, b = 12, c = -1.
Hence:
[tex]\Delta = 12^2 - 4(1)(-1) = 148[/tex][tex]x_1 = \frac{-12 + \sqrt{148}}{2}[/tex][tex]x_2 = \frac{-12 - \sqrt{148}}{2}[/tex]Since [tex]\sqrt{148} = 2\sqrt{37}[/tex], the solutions are given as follows, simplifying by 2:
[tex]x = -6 \pm \sqrt{37}[/tex]
More can be learned about quadratic equations at https://brainly.com/question/24737967
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Tara's graduation picnic costs $2 for every attendee. Write an equation that shows the
relationship between the attendees x and the cost y.
Answers
Answer:
y = 2x
Step-by-step explanation:
Y = 2x
The function g is defined by:
Answers
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
look at image i need help
Answers
Correctly identify the slope and y -intercept of the
slope intercept form equation:
y= mx + b
slope
intercept
Answers
In the diagram below, OPis circumscribed about quadrilateral ABCD. VWhat is
the value of x?
A
O A. 55
OB. 105
OC. 100
OD. 60
115
x+10|
Answers
Answer:
Value of X = 100°
Step-by-step explanation:
Given:
∠ A = 70°
∠ D = 115°
∠ C = X + 10°
Find:
Value of X
Computation:
In cyclic quadrilateral ∠ A + ∠ C = 180°
So,
70° + X + 10° = 180°
X = 100°
Value of X = 100°
Answer:
A and D
Step-by-step explanation:
If the toss of a coin comes down heads, you win two dollars. If it comes down tails, you lose fifty cents. How much would you expect to gain after 25 tosses (in $ dollars)
Answers
Answer:
$30.00
Step-by-step explanation:
Because if you think about it, about half of them are going to be heads and the other half are going to be tails.
hope this helped
We could expect $30.00 to gain after 25 tosses.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
It is given that If the toss of a coin comes down heads, you win two dollars. If it comes down tails, you lose fifty cents.
We need to find How much would you expect to gain after 25 tosses (in $ dollars).
Because if you think about it, you will see that about half of them are going to be heads and the other half are going to be tails.
Therefore, We could expect $30.00 to gain after 25 tosses.
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ6
Based on a survey, assume that 31% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when consumers are randomly selected, exactly of them are comfortable with delivery by drones. Identify the values of n, x, p, and q.
Answers
Answer:
P(X = 2) = 0.3157
Step-by-step explanation:
Let assume that the question wants us to determine the probability that, let say when 5 customers are randomly selected, exactly 2 of the customers are comfortable.
Then;
p = 0.31
n = 5; x = 2
q = 1 - p
= 1 - 0.31
= 0.69
∴
The probability mass function is:
[tex]P(X =x) = ^n C_r * p^x *q^{n-x}[/tex]
[tex]P(X =x) = ^5 C_2 * (0.31)^2 *0.69^{5-2}[/tex]
[tex]P(X =2) = \dfrac{5!}{2!(5-2)!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) = \dfrac{5!}{2!(3)!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) = \dfrac{5*4*3!}{2!(3)!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) = \dfrac{5*4}{2!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) =10* (0.31)^2 *0.69^{3}[/tex]
P(X = 2) = 0.3157
AC =
Round your answer to the nearest hundredth.
Answers
Answer:
70 I think but I'm not sure
Step-by-step explanation:
AC=70
Which quantity is proportional 12/4
Answers
Answer:
3/4
Step-by-step explanation:
Evaluate this expression for a=2 and b=3. (a+5)-b/b-4+2(b+3)/a
Answers
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]
Pls help me answer this question for my homework
Answers
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.
what should be done so that the expression 4+4 to the power of 2 - 5×2 will have a value of 10?
Answers
Answer: 8 x 8 = 64 - 10 = 64 so you need add the another times operation 64 - 54 x 1 = 10
Last year Sarah invested money in two accounts. The first account had an interest rate of 4% and the second account had an interest rate of 3%. If she invested $700 more in the first account than the second and her total interest income was $483, how much did she invest at each rate?
Answers
Answer:
explain further pls so i can give u the correct answer
Step-by-step explanation:
You estimate that your school is about 60 ft tall. Your school is actually 67 ft tall. Find the percent error in your estimation.
Answers
Answer:
%10.44
Step-by-step explanation:
1) 67-60=7
2)7÷67=0.1044776
Round it and change it to percent
=%10.44
WILL GIVE BRAINLEIST HELP ASAP (20 points!!)
Answers
hope it helps you pls mark me brainliest pls.
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?
Answers
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
Please only correct answer
Answers
Answer:
second vala hai correct Answer
Answer:
[tex](\sqrt{x})^{2} = \sqrt{x^{2} }[/tex]
All of the following ordered pairs satisfy the function rule y = -2x - 1 except _____.
(-2, 3)
(0, -1)
(-1, -3)
(2, -5)
Answers
Answer:
im going to say (2, -5)
Step-by-step explanation:
Write the relation as a set of ordered pairs.
a. ordered pairs: {-1, -2), (0, 1), (3, 2)}
b. ordered pairs: {-2, -1), (1, 0), (3, 2)}
c. ordered pairs: {(-2, -1), (0, 1), (2,3)}
d. ordered pairs: {(-1, -2), (1, 0), (2, 3)}
Answers
What is the domain of the function y=2 /X-6? EXCO o osx
Answers
Answer:
last option
[tex]6 \leqslant x < \infty [/tex]
An experiment consists of rolling a single die and selecting a card from a standard deck. Use this information to answer the following three questions. What is the probability of rolling a 5 and selecting the ace of hearts
Answers
Answer:
1/160
Step-by-step explanation:
Assuming that you want to roll a 5 and then select the ace of hearts that would make this a sequence of events. In order to find the probability of this happening, you would need to multiply the probability of each of these events happening separately with one another.
Since there are a total of 6 possible outcomes when rolling a die (1,2,3,4,5,6) which rolling a 5 is only one of the options. Meaning that the probability of rolling a 5 is 1/5.
In a deck of cards, there are a total of 32 cards in the deck and only 1 of those cards is an ace of hearts. Meaning that the probability of getting the ace of hearts is 1/32. Now we simply multiply these two probabilities together to get the probability of the sequence.
1/5 * 1/32 = 1/160
a hollow cylindrical metallic pipe is 21 cm long if the external and internal diameter of the pipe are 12cm and 8cm respectively find the volume of metal used in making the pipe
Answers
Answer:
The volume of the metal used to make the pipe is [tex]\mathbf{1,680\pi\ cm^3}[/tex]
Step-by-step explanation:
The Volume of a Cylinder
Given a right cylinder of base radius r and height h, the volume is calculated as follows:
[tex]V=\pi r^2h[/tex]
We are given the dimensions of a cylindrical metallic pipe whose external diameter is de=12 cm and the internal diameter is di=8 cm. The height is h=21 cm.
The volume of the metal used in making the pipe is the difference between the external volume and the internal volume.
Calculating the external volume:
[tex]V_e=\pi r_e^2h[/tex]
[tex]V_e=\pi 12^2*21[/tex]
[tex]V_e=3,024\pi\ cm^3[/tex]
Calculating the internal volume:
[tex]V_i=\pi r_i^2h[/tex]
[tex]V_i=\pi 8^2*21[/tex]
[tex]V_i=1,344\pi\ cm^3[/tex]
The volume of metal is:
[tex]V_m=V_e-V_i=3,024\pi\ cm^3-1,344\pi\ cm^3[/tex]
[tex]V_m=1,680\pi\ cm^3[/tex]
The volume of the metal used to make the pipe is [tex]\mathbf{1,680\pi\ cm^3}[/tex]
Solve the linear system using a table.
7a -b=-1
-4a - 2b = -2
A. (0,0)
B. (0,1)
C. (1,0)
D. (1,1)
Answers
B. (0,1)
