Answer:
Passenger train 60 km/h.
Freight train 30 km/h.
Step-by-step explanation:
Let the rate of the freight train be x km / hr the passenger train's rate is 2x km/hr.
The combined speed = 3x km/hr, so we have the equation
speed = distance . / time
3x = 270 / 3
9x = 270
x = 30 km/h.
Determine the area of a circle with diameter 20 miles. Question 2 options: A. 20πmi2 B. 400πmi2 C. 100πmi2 D. 50πmi2
Answer: C 100π sq. miles
Step-by-step explanation:
Area of a circle = π x r^2
Area = π x 10^2
Area = 100π
Need help with trig problem in pic
Answer:
a) [tex]cos(\alpha)=-\frac{3}{5}\\[/tex]
b) [tex]\sin(\beta)= \frac{\sqrt{3} }{2}[/tex]
c) [tex]\frac{4+3\sqrt{3} }{10}\\[/tex]
d) [tex]\alpha\approx 53.1^o[/tex]
Step-by-step explanation:
a) The problem tells us that angle [tex]\alpha[/tex] is in the second quadrant. We know that in that quadrant the cosine is negative.
We can use the Pythagorean identity:
[tex]tan^2(\alpha)+1=sec^2(\alpha)\\(-\frac{4}{3})^2 +1=sec^2(\alpha)\\sec^2(\alpha)=\frac{16}{9} +1\\sec^2(\alpha)=\frac{25}{9} \\sec(\alpha) =+/- \frac{5}{3}\\cos(\alpha)=+/- \frac{3}{5}[/tex]
Where we have used that the secant of an angle is the reciprocal of the cos of the angle.
Since we know that the cosine must be negative because the angle is in the second quadrant, then we take the negative answer:
[tex]cos(\alpha)=-\frac{3}{5}[/tex]
b) This angle is in the first quadrant (where the sine function is positive. They give us the value of the cosine of the angle, so we can use the Pythagorean identity to find the value of the sine of that angle:
[tex]cos (\beta)=\frac{1}{2} \\\\sin^2(\beta)=1-cos^2(\beta)\\sin^2(\beta)=1-\frac{1}{4} \\\\sin^2(\beta)=\frac{3}{4} \\sin(\beta)=+/- \frac{\sqrt{3} }{2} \\sin(\beta)= \frac{\sqrt{3} }{2}[/tex]
where we took the positive value, since we know that the angle is in the first quadrant.
c) We can now find [tex]sin(\alpha -\beta)[/tex] by using the identity:
[tex]sin(\alpha -\beta)=sin(\alpha)\,cos(\beta)-cos(\alpha)\,sin(\beta)\\[/tex]
Notice that we need to find [tex]sin(\alpha)[/tex], which we do via the Pythagorean identity and knowing the value of the cosine found in part a) above:
[tex]sin(\alpha)=\sqrt{1-cos^2(\alpha)} \\sin(\alpha)=\sqrt{1-\frac{9}{25} )} \\sin(\alpha)=\sqrt{\frac{16}{25} )} \\sin(\alpha)=\frac{4}{5}[/tex]
Then:
[tex]sin(\alpha -\beta)=\frac{4}{5}\,\frac{1}{2} -(-\frac{3}{5}) \,\frac{\sqrt{3} }{2} \\sin(\alpha -\beta)=\frac{2}{5}+\frac{3\sqrt{3} }{10}=\frac{4+3\sqrt{3} }{10}[/tex]
d)
Since [tex]sin(\alpha)=\frac{4}{5}[/tex]
then [tex]\alpha=arcsin(\frac{4}{5} )\approx 53.1^o[/tex]
The value of a term is 2 more than 7 times its term number! What is the answer? Please explain
Answer:
-1/3
Step-by-step explanation:
Let the number be x.
x = 7x + 2
Add -7x on both sides.
x - 7x = 2
-6x = 2
Divide both sides by -6.
x = 2/-6
x = -1/3
Step-by-step explanation: iiiiii suck. 11111111111111111111111111111111111111111111111111111111111111111111111
10 + 3² - 6 = 7 10 11 13
Answer:
13
Step-by-step explanation:
Evaluate 3² then add and subtract, that is
10 + 3² - 6
= 10 + 9 - 6
= 19 - 6
= 13
Select the best answer for the question.
4. A population of bacteria increases by 30 every hour. Is this situation linear or exponential? Why?
A
Fynonential bocou the fi
Explanation: The population increases by the same amount each time, so the rate is constant, meaning we have linear growth. The slope of this line is 30.
The trisectors of angles $B$ and $C$ of scalene triangle $ABC$ meet at points $P$ and $Q$, as shown. Angle $A$ measures 39 degrees and angle $QBP$ measures 14 degrees. What is the measure of angle $BPC$?
Answer:
BPC=52 degreees
Step-by-step explanation:
ROWAN IS CHEAT
Answer:
133 degrees
Step-by-step explanation:
I saw this answer in the comments and it is correct.
30 points, high school geometry question.
Answer:
2.6
Step-by-step explanation:
4.6/6.8 = CD/3.8
CD = 2.6
Answer:
2.6
Step-by-step explanation:
it shoudl be 2.6 i think. since the ratios should be the same i think. so 3.8/6.8*4.6
correct me if i'm wrong please. looks like khan accademy. good luck!
Please help me with this problem
Answer:
A- 30,968 + 31,211
Step-by-step explanation:
Since 62,179 minus 31,211 is equal to 30968, 30968 plus 31,211 can be used to help check the answer for 62,179 minus 31,211.
arrange these numbers in order of size from smallest to largest 15.36 15.07 51.9 5.8 5.62 5.07 brainliest
Answer:
5.07, 5.62, 5.8, 15.07, 15.36, 51.9
Answer:
answer is 5.7,5.8,5.62,15.07,15.36,51.9
1
If one serving contains 90 calories, how many calories are in 4ź servings?
O a. 202.5 calories
b. 20 calories
OC. 405 calories
O d. 810 calories
Answer:
Re-Write The Question
Step-by-step explanation:
(Unexplainable)
Sam has a collection of yellow and red cards. Yellow cards are worth 3 points and
red cards are worth 5 points. He has at most 15 cards, totaling at least 45 points.
This can be modeled by the following system.
y + r < 15
3y + 5r > 45
Graph the system. Then use the graph to determine which combination is a
solution.
1. 3 yellow and 9 red
2. 6 yellow and 4 red
3. 9 yellow and 3 red
4. 12 yellow and 8 red
Answer:1.
1. 3 yellow and 9 red
Step-by-step explanation:
r, the amount of red cards, is represented ox x-axisy, the amount of yellow cards, is represented ox y-axisIn the picture attached, the system is represented. The darker area shows all the points that are a solution to the system of inequalities.
The combinations can be rewritten as a coordinate pair, as follows:
1. 3 yellow and 9 red -> (9,3)
2. 6 yellow and 4 red -> (4,6)
3. 9 yellow and 3 red -> (3,9)
4. 12 yellow and 8 red -> (8,12)
As we can see in the picture, only the first option is a solution.
what is the square of 5.5?
Answer:
30.25
Step-by-step explanation:
Answer: 2.345
Step-by-step explanation:
The square root of 5.5 is 2.345.
I NEED HELP ASAP!!!! WILL MARK BRAINLIEST
Answer: 5x + 1
Step-by-step explanation:
f(x) - g(x)
(3x + 2) - (-2x + 1) Here you distribute the negative sign to (-2x + 1)
3x + 2 + 2x - 1 Here you combine like terms
5x + 1 This is the answer.
given f(x) and g(x) = k.f(x), use the graph to determine the value of k
Answer: The answer is -3
Step-by-step explanation:
g(x)=kf(x)
g(-3)=kf(-3)
To solve this for k we will need to find the values for both g(-3) and f(-3).
g(-3) means we want the y that corresponds to x=-3 on the curve/line of g.
g(-3)=-3
f(-3) means we want the y that corresponds to x=-3 on the curve/line of f.
f(-3)=1
So our equation becomes:
g(-3)=kf(-3)
-3=k(1)
-3=k
So k=-3.
Then determine which answer
On a piece of paper, graph f(x) =
(x if x < 1
11 if x 2 1
choice matches the graph you drew.
The required graph of the function f(x) = {x when x < 1; 1 when x ≥ 1} has been shown.
As mentioned in the question we have to sketch the graph of the function f(x) = {x when x < 1; 1 when x ≥ 1}.
Since the given function is the piece vice function.
The graph of the piece vice function is will be the function y = x for range x < 1, and y = 1 for x greater equal to 1.
Thus, the required graph of the function f(x) = {x when x < 1; 1 when x ≥ 1} has been shown.
Learn more about piece-wise function here:
https://brainly.com/question/16984860
#SPJ7
Use the indicated x-values on the graph of y = f(x) to find the following.
Find intervals over which the graph is concave down. (Consider only the interval (a,h). Enter your answer using only interval notation.)
Answer:
(a,c) ∪ (f, g)
Step-by-step explanation:
The function is:
concave down in the intervals: (a,c) and (f, g)concave up in the intervals: (c, f) and (h, g)Draw the slope of the tangent lines of several points on the curve,
if the slope increases, the segment is concave upif the slope decreases, the segment is concave down.Help help please.....Thanks
Hey there! :)
Answer:
56.7 kg.
Step-by-step explanation:
Use the density formula to solve for the mass:
D = m/V.
Rearrange in terms of mass, or 'm':
DV = m.
Solve for the volume:
0.06 × 0.9 × 1.5 = 0.081 m³.
Plug this into the equation along with the density:
700 × 0.081 = 56.7 kg.
a group of 12 friends want to see a movie, only 7 seats are available for the current show, they draw straws to determine who will watch the movie and who will go to a leter show. how many different groups are posssible for the current showing of the movie? a 426 b 95,040 c 792 d 33, 264
Which of these tables represents a non-linear function? A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 20, 19, 18, 17. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 16, negative 17, negative 18, negative 19. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries 16, 17, 19, 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 17, 18, 19, 20. Column 2 is labeled y with entries negative 20, negative 19, negative 18, negative 17.
Answer:
Third option
Step-by-step explanation:
In linear functions, if we take two any points (x1, y1) and (x2, y2), the next relationship must be satisfied: (y2- y1)/(x2 - x1) = constant
The third option is:
x | y
17 | 16
18 | 17
19 | 19
20 | 20
Taking the points of the previous table, we get:
(17-16)/(18-17) = 1
(19-17)/(19-18) = 2
(20-19)/(20-19) = 1
which is not constant for all points. Then, the relationship is not linear.
Answer:
third one
Step-by-step explanation:
its constant and increasing the other ones are not constant but increase
Density is a physical property of a molecule that’s measured as mass per unit volume. (a) Given that density is usually expressed in the units of g/cm3, calculate the density of a cube of plastic that has a mass of 2.331 g and an edge length of 1.500 cm (volume of a cube is V = l3). (b) Draw two liquids in a graduated cylinder on a separate sheet of paper. You won’t submit the drawing as part of your answer. Liquid A has a density of 1.004 g/cm3 and Liquid B has a density of 0.6223 g/cm3. Assume they don’t mix. Label which liquid is on top and which liquid is on bottom, and then draw the cube where you would expect it to be if it’s dropped into the graduated cylinder with these two liquids. Explain the location for liquid A, liquid B, and the cube in the graduated cylinder.
Answer:
The answer is given below
Step-by-step explanation:
a) Density is the ratio of mass to volume. Given that the mass of a cube = 2.331 g and the edge length (l) = 1.500 cm
The volume = l³ = 1.5³ = 3.375 cm³
Therefore, [tex]Density=\frac{mass}{volume}=\frac{2.331\ g}{3.375\ cm^3}=0.691\ g/cm^3[/tex]
b) The density of liquid A is 1.004 g/cm3 and Liquid B has a density of 0.6223 g/cm3. Since Liquid A is more denser than liquid B, liquid B would float when mixed with liquid B. Liquid B is on top and liquid A is at the bottom.
C) If the cube is also dropped in the cylinder, since its density is more than the density of liquid B, liquid B would be on top, then the cube and lastly Liquid A would be at the bottom.
HURRY I NEED HELP for 20 points
Beginning at the origin, how far do you travel along the y-axis when plotting the point below? (6, 12)
Answer:
the answer is 12
Step-by-step explanation:
because (6, 12) x axis is 6, and the 12 is the y axis. Meaning that you would go 12 along the y axis.
Answer:
I believe the answer is 12
Please help me match these formulas . :)
Answer:
1. equilateral triangle
2. rectangle
3. circle area
4. trapezoid
5. circle circumference
6. parallelogram
7. regular polygon
8. triangle
Hope that helps.
Which situation shows a constant rate of change? A. The number of points scored in a basketball game compared with the number of minutes played. B. The height of a monkey swinging from branch to branch over time. C. the height of a bouncing ball over time. D. The amount a person pays for gas compared with the number of gallons purchased.
Answer: D
Step-by-step explanation:
A constant rate of change means that for every x, y increases the same amount.
In the situation "The amount a person pays for gas compared with the number of gallons purchased ," the independent quantity, or x-value, is the number of gallons, and the dependent quantity, or y-value, is the amount paid. Since gas has a set price per gallon, for every gallon purchased, the total amount paid goes up the same amount. This means it has a constant rate of change.
the diagonals of a square are _____ each other
Answer: d) perpendicular bisectors of
Step-by-step explanation:
Answer:
The last option. D
Step-by-step explanation:
A. incorrect
B. a square is equal with its sides
And option C is also incorrect so it will be D
"perpendicular bisectors of" with is correct because all the sides of a square at equal with eachother
This graph shows how the length of time a canoe is rented is related to the rental cost. What is the rate of change shown in the graph? A. $3/hour B. 3 hours/dollar C. $6/hour D. 6 hours/dollar
Answer:
what is the answer?
Step-by-step explanation:
Answer:
C. $6/hour
Step-by-step explanation:
AP3X
Find the value of the trigonometric ratio, sin L.
Answer:
a/h
Step-by-step explanation:
Using SOH CAH TOA. Sin = opposite/hypotenuse. Opposite of L is a, hypotenuse is h.
Please help answer this question Minni has to buy stickers, erasers, and a pencil. She can only spend $4. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Minni buy 2 stickers and 2 erasers? [Use the inequality 0.35x + 0.99y + 0.59 ≤ 4] (1 point) Select one: a. Yes, because the total will be $3.27 b. Yes, because the total will be $1.93 c. No, because the total will be $4.27 d. No, because the total will be $5.93
Answer: A
Since you already have an equation just put in how many stickers and erasers she wants to get: 0.35(2)+0.99(2)+0.59≤4.
Then you multiply: .35(2)=.70. .99(2)=1.98.
Then add: .70+1.98+.59=3.27, so yes she can since 3.27 is less than 4 so the answer is A
Answer:
A. yes, because the total will be $3.27
Step-by-step explanation:
0.35x + 0.99y + 0.59 ≤ 4
0.35(2) + 0.99(2) + 0.59 ≤ 4
0.70 + 1.98 + 0.59 ≤ 4
3.27 ≤ 4
Prove that 3(x+1)(x+7)-(2x+5) ^2 is never positive
Answer:
Step-by-step explanation:
It will never be positive becasue there is a negitive sign in the equation. negitives overule positives. Therefor it will never be positive.
Compare the structure of the two
expressions.
Expression 1
Expression 2
3x
4x + 9(2x + 1) x² + 6(-2x + 1) - 3(7 + x?)
Answer:
single termsum of 4 terms, some of which can be expanded furtherStep-by-step explanation:
1. 3x
This is a single term with one variable of the first degree.
__
2. 4x + 9(2x + 1) x² + 6(-2x + 1) - 3(7 + x?)
This is a sum of 4 terms, some of which can be expanded:
4x9(2x+1)x^2 ⇒ 18x^3 +9x^26(-2x +1) ⇒ -12x +6-3(7+x?) ⇒ -3x? -21The expression can be simplified by combining like terms.
Can you help to solve this and explain how thanks in advance
Hey there! :)
Answer:
5.
Step-by-step explanation:
The pattern of this puzzle is to take the bottom two numbers of the triangle, find the sum, then divide by the top number. For example:
8 + 4 = 12 --> 12/3 = 4.
5 + 13 = 18 --> 18/6 = 3.
9 + 5 = 14 --> 14/2 = 7.
Therefore:
14 + 6 = 20 --> 20/4 = 5. The missing number is 5.
Answer: 5
Step-by-step explanation: