The freight train was traveling at 40 mph.
Let's use the formula for distance:
distance = rate x time
We know that the two trains are moving away from each other, so we can add their distances to get the total distance between them:
distance = distance traveled by passenger train + distance traveled by freight train
Since they started at the same time, the time traveled by both trains is the same, so we can write:
distance = 80 mph x time + rate of freight train x time
Using the given information, we can write:
720 = 80 x 6 + rate of freight train x 6
Simplifying:
720 = 480 + 6(rate of freight train)
240 = 6(rate of freight train)
rate of freight train = 40 mph
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Select three ratios that are equivalent to 7:6,
Answer: 12:14 21:18 42:36
An adult human body contains 10 pints of blood.How much fluid ounces is equivalent to 10 pints? (Please answers!)
Answer:
160 fluid ounces
Step-by-step explanation:
There are 16 ounces in one pint, therefore multiply the number of pints by 16 to get your answer.
16 * 10 = 160
Hope this helped ! <3 Brainliest please :)
34. Find the surface area for the following rectangular prism
[tex] \huge\fbox\green{ANSWER} [/tex]
Surface Area = 2×(8.25×1.5 + 8.25×3 + 1.5×3) = 83.25 centimeters^2
[tex] \mathsf \blue{83.25 {cm}^{2} }[/tex]
Can someone help me understand this?? I ended up getting 594 and that’s not even an option!
Answer:
Option D
Step-by-step explanation:
I am taking a guess here, but since the volume of the rectangle part is 594, and it is sort of a similar size as the top part, then I assume it is D.
Let me know how it goes.
Can someone help me please?
Answer:
[tex]\bold{ \sf \theta = \dfrac{\pi }{9} , \ \ \dfrac{2}{9} \pi , \ \dfrac{7 \pi }{9}, \ \ \dfrac{8\pi }{9}, \ \dfrac{13\pi }{9}, \ \dfrac{14\pi }{9}}[/tex]
Explanation:
[tex]\dashrightarrow \ \ \sf 2sin(3\theta) = \sqrt{3}[/tex]
[tex]\dashrightarrow \ \ \sf sin(3\theta) = \dfrac{ \sqrt{3}}{2}[/tex]
[tex]\dashrightarrow \ \ \sf 3\theta = sin^{-1}(\dfrac{ \sqrt{3}}{2})[/tex]
[ your calc should be in radian mode [R] ]
[tex]\dashrightarrow \ \ \sf 3\theta = \dfrac{\pi }{3} , \ \ \dfrac{2}{3} \pi , \ \ \dfrac{7 \pi }{3}, \ \ \dfrac{8\pi }{3}, \ \dfrac{13\pi }{3}, \ \dfrac{14\pi }{3}[/tex]
[tex]\dashrightarrow \ \ \sf \theta = \dfrac{\pi }{9} , \ \ \dfrac{2}{9} \pi , \ \ \dfrac{7 \pi }{9}, \ \ \dfrac{8\pi }{9}, \ \dfrac{13\pi }{9}, \ \dfrac{14\pi }{9}[/tex]
PLEASE HELP ASAP 20 POINTS!!!
Answer:
D, I think…
Step-by-step explanation:
I used PEMDAS to go through and simplify and see which values match.
A French professor gives Sections 1 and 2 of a French course the same passage to translate. Section 1 has 28 students, and 5
translate the passage correctly. Section 2 has 22 students, and 8 translate the passage correctly. (See Example 3.)
(a) If one of the papers is selected at random, what is the probability that it is a correct translation? (Round your answers
to three decimal places.)
(b) One of the papers is selected and is known to be from Section 1. What is the probability that it is a correct translation?
(Round your answers to three decimal places.)
(c) A paper is selected and is known to be a correct translation. What is the probability that it is from Section 2? (Round
your answers to three decimal places.)
Using it's concept, it is found that the probabilities are given by:
a) 0.26 = 26%.
b) 0.179 = 17.9%.
c) 0.615 = 61.5%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Item a:
8 + 5 = 13 correct translations out of 28 + 22 = 50 students, hence:
p = 13/50 = 0.26 = 26%.
Item b:
5 correct translations out of 28, hence:
p = 5/28 = 0.179 = 17.9%.
Item c:
There are 13 correct translations, and of those, 8 are from section 2, hence:
p = 8/13 = 0.615 = 61.5%.
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I need help, please and thank you
Answer:
See below ↓
Step-by-step explanation:
Problem
[tex]\frac{5x}{x+7} + \frac{7}{x}[/tex]Work
[tex]\frac{5x(x)+7(x+7)}{x(x+7)}[/tex][tex]\frac{5x^{2} +7x+49}{x(x+7)}[/tex]The student's mistake was that instead of taking x(x + 7) as the LCM (Least Common Multiple), he took x + 7, which is not possible in this caseSolution
[tex]\frac{5x^{2} +7x+49}{x(x+7)}[/tex]I need to find the answer to...
20% of $80 = ???
Answer:
16
Step-by-step explanation:
0.20 x 80 = 16
We can double check this by dividing :)
16/80 = 0.20 = 20%
Have an amazing day!!
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The radius of a circle is 14 meters. What is the circle's area?
r=14 m
Use 3.14 for .
Answer:
The formula for the area of a circle:
[tex]A = \pi r^{2}[/tex]
You have said:
[tex]r = 14m[/tex]
So substitute the values of pi and r into the formula:
[tex]A = \pi r^{2} \\A = (3.14)(14m)^{2} \\A = (3.14)(196m^{2} )\\A = 615.44m^{2}[/tex]
Do number 2 please. Please bots don’t answer! I just trying to get help :(
Answer:
no 2. cube a' will be smaller because it was multiplied by a fraction
no 3. c
you are traveling for work. You fly out of las vegas at 4:45 Am. you arrive in miami 6 hours later. what time is it when you arrive ? explain how you got your answer.
Answer:
The time wil be 1:45
Step-by-step explanation:
4:45 + 6 hours is 10:45
But since Miami is 3 hours ahead (different time zone), you
will add 3 hours. So that makes it 1:45 when you land!
Hope this helps!!
Given the speeds of each runner below, determine who runs the fastest.
\text{Frank runs 9 feet per second.}
Frank runs 9 feet per second.
\text{Tony runs 299 feet in 34 seconds.}
Tony runs 299 feet in 34 seconds.
\text{Zach runs 1 mile in 396 seconds.}
Zach runs 1 mile in 396 seconds.
\text{Will runs 675 feet in 1 minute.}
Will runs 675 feet in 1 minute.
Zach runs with 14.31 feet per second speed and faster than other runners.
What is Speed?Speed is measured as the ratio of distance to the time in which the distance was covered
Given that Frank runs 9 feet per second.
Speed=Distance /time
=9 feet/ 1 second
=9 feet per second.
Tony runs 299 feet in 34 seconds
Speed=299/34
=8.794 feet per second.
Zach runs 1 mile in 396 seconds.
We know that 1 mile =5280 feet
Speed=5280/369
=14.31 feet per second.
Will runs 675 feet in 1 minute
1 minute is 60 seconds
Speed=675/60
=11.25 feet per second.
Hence, Zach runs with 14.31 feet per second speed and faster than other runners.
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Imagine the center of the singapore flyer is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Write an equation of a circle for your Ferris wheel, and sketch an image of what your Ferris wheel would look like on the grid. Now graph a circle that is similar to the Ferris Wheel. Discuss the transformations needed to show that both circles on your graph are similar
The equation of the Ferris wheel is x² + y² = 25, and the transformation that shows that the circles are similar is the dilation transformation
How to determine the equation of the Ferris wheel?
From the question, we have the following parameters:
Center (a,b) = (0,0)Radius, r = 5The equation of a circle is represented as:
(x - a)² + (y - b)² = r²
So, we have:
(x - 0)² + (y - 0)² = 5²
Evaluate
x² + y² = 25
Hence, the equation of the Ferris wheel is x² + y² = 25
See attachment for the image of the Ferris wheel
Transformation to a similar circle
Assume that the similar circle has the following parameters:
Center (a,b) = (0,0)Radius, r = 10The equation of the circle would be:
(x - 0)² + (y - 0)² = 10²
Evaluate
x² + y² = 100
Since both circles have the same center, the transformation that shows that they are similar is the dilation transformation
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yah..... help please bro
Answer:
I think D but I'm not too sure.
Change them all into decimals:
The square root of 2 = 1.41421356
3/2 = 1.5
15% = 0.15
Arrange them:
3/2, square root of 2, 1.3333..., 1.3, 15%
So, B is the correct answer.
what two numbers multiply to get -8 and add to get 4?
Answer:
-2-2√3, -2+2√3
Step-by-step explanation:
Let x and y be two numbers.
Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:
x(-4-x) = -8
-4x -x^2 = -8 . . . . . eliminate parentheses
x^2 +4x = 8 . . . . . . multiply by -1
x^2 +4x +4 = 12 . . . add 4 to complete the square
(x +2)^2 = 12
x +2 = ±√12 = ±2√3
x = -2±2√3
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
D
Step-by-step explanation:
the answer Is obviously D
2 +√9= whats the answer number system class 9
Answer:
5
Step-by-step explanation:
2 + root 9 can be written as 2 + 3 which is answer as 5
Answer:
•SEE ABOVE ATTACHMENT•HOPE IT HELPS!
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If f(3) = 3^x and g(x) = 7^x then the graph of g(x) will be — the graph of f(x) when x<0.
Using the given exponential functions, it is found that the graph of g(x) will be less than than the graph of f(x) when x < 0.
What are the exponential functions?The given exponential functions, f(x) and g(x), are respectively given by:
[tex]f(x) = 3^x[/tex][tex]g(x) = 7^x[/tex]When x < 0, one possible value is x = -1, hence evaluating the functions at these values:
[tex]f(-1) = 3^{-1} = \frac{1}{3}[/tex]
[tex]g(-1) = 7^{-1} = \frac{1}{7}[/tex]
[tex]\frac{1}{3} > \frac{1}{7}[/tex], hence, the graph of g(x) will be less than than the graph of f(x) when x < 0.
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Using the equation below, what is the
value of p when v = 7?
p = 6v + 21
Answer:
p = 63
Step-by-step explanation:
It is given that the variable v is equal to 7:
v = 7
Plug in 7 for v, and then solve the given equation:
p = 6v + 21
p = 6(7) + 21
Simplify. Remember to follow PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis, Exponents (& Roots), Multiplications, Divisions, Additions, Subtraction.
First, multiply 6 with 7:
p = (6 * 7) + 21
p = 42 + 21
Next, add:
p = 42 + 21
p = 63
63 is your answer for p.
~
Answer:
p = 63
Step-by-step explanation:
p = 6(v) = 21
add in 7 in place of v
p = 6(7) + 21
do 6(7)
p = 42 + 21
add those together
p = 63
Here you go! :)
if a1 = 5 and an = an-1 +2 then find the value of a4
Answer:
Step-by-step explanation:
an = (an-1)2 + 5. a1 = 4. Then: a1 = 4. a2 = (4)2 + 5 = 16 + 5 = 21. a3 = (21)2 + 5 = 441 + 5 = 446. a4 = (446)2 + 5 = 198916
A baseball traveled 330 feet in 5 seconds. Which rate is equivalent to the rate at which the baseball traveled?
A.
55 feet per second
B.
66 feet per second
C.
55 seconds per foot
D.
66 seconds per foot
(just the answer pls)
Answer:
I think it's B.
Step-by-step explanation:
HOW DO U DO THIS I LITERALLY TRIED EVERYTHING pls explain
Answer:
you just convert them into simple fractions the first one become -1159/9 and second one -790/3.
the difference in thier height is 1211/9.
how do you graph y=2x-3
Answer:
so on the graph you can
Step-by-step explanation:
first the y axis number comes first so you look at that the you do the x axis it should look like 2,3 or 2,-3 hope this works
Answer: 2x3=y. 2x3=6
Step-by-step explanation:
one: figure out what the question is asking you. Two: do 2x3 and then get the answer. Last: switch it around to find your answer.
Suppose a city with population 100,000 has been growing at a rate of 5% per year. If this rate continues, find the population of this city in 21 years.
Answer:
205,000
Step-by-step explanation:
(100,000*0.05) *21 +100,000
Which statements are true about fractions and ratios? Select all that apply. All ratios are fractions. Some ratios are not fractions. All fractions are ratios. All ratios compare wholes and parts.
Answer: the person above is wrong
Step-by-step explanation: Some ratios are not fractions.
and All fractions are ratios
The first six steps of the derivation of the Quadratic Formula are listed below.
b
x
lo
=
a
a
+
1. ax2 + bx +c=0
2. Cx2 + x + =
3. x2 + x+8 = 0
b
4. x2 +
X=
a
b2
5. x2 + x +
4a2
6. (x + )2
4a2
a
+
a
b2
4a2
b2-4ac
2a
The ninth step in the derivation is to find the lowest common multiple (LCM) to give [tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
The derivation of quadratic formula.In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
Mathematically, the quadratic formula is given by this equation:
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
The sixth step in the derivation is:
[tex](x + \frac{b}{2a} )^2 = \frac{b^2 - 4ac}{2a}[/tex]
The seventh step in the derivation is:
We would take the square of both sides to have;
[tex]x + \frac{b}{2a} = \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]
The eigth step in the derivation is:
We would substract b/2a from both sides to have;
[tex]x = -\frac{b}{2a} \pm \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]
The ninth step in the derivation is:
We would find the lowest common multiple (LCM) to have;
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
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Please help me with question 2 with explanation u will get 50 points thanks !!
June’s portfolio includes 177 shares of parchar special effects, 213 shares of giaco household goods, and 152 shares of raxin accounting. if parchar special effects pays a yearly dividend of $8.21 per share, giaco household goods pays $6.97 per share, and raxin accounting pays $11.44 per share, how much does june earn in dividends per year? a. $4,449.82 b. $4,676.66 c. $3,777.74 d. $6,200.48
June's earning in dividends per year will be $4676.66
What will be junes earning?Earnings are the profit that a company produces in a specific period, usually defined as a quarter or a year. After the end of each quarter
It is given in the question that:
No. of shares of Parchar Special Effects = 177
If Parchar Special Effects pays a yearly dividend of $8.21 per share
So, It pays a yearly dividend for 177 shares
= [tex]177\times 8.21=1453.17[/tex]
No. of shares of Giaco Household Goods = 213
Giaco Household Goods pays $6.97 per share
So, It pays a yearly dividend for 213 shares
= [tex]213\times6.97=1484.61[/tex]
No. of shares of of Raxin Accounting= 152
Raxin Accounting pays $11.44 per share
So, It pays a yearly dividend for 152shares
= [tex]152\times 1.44=1738.88[/tex]
So,June earn in dividends per year
=[tex]1453.17+1453.17+1738.88=4676.66[/tex]
Hence June earn $4676.66 dividends per year
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Answer:
B
Step-by-step explanation:
$4,676.66
What is the area of the shape?
Answer:12 units^2
Step-by-step explanation:
2*2=4
2*2*1/2=2
2*6*1/2=6
4+2+6=12
12 units^2