Two trains leave the same city at a right angle to each other and continue in straight lines. Train B travels 5 mph faster than train A. After two hours, they are 50 miles apart. Determine the speed of each
train.

Answers

Answer 1

Answer:

Let A have speed 'a.' Remember distance is rate times time, and the Pythagorean theorem. We then have (2a)^2+(2(a+5))^2=50^2. a=15, so the other rate is 20.

Step-by-step explanation:


Related Questions

A 10.0kg rock is dropped and hits the ground below at a speed of 60 m/s . Calculate the gravitational potential energy of the rock before it was dropped

Answers

Answer:

Solution:

Mass of body, m= 10kg

velocity, v= 60m/s

Now,kinetic energy on earth= potential energy at a that point [energy conservation]

so, kinetic energy= 1/2*m* v^2

= 1/2* 60(60)^2

= 30* 60*60

= 108000 joules

A snowstorm dropped three and two-fifths inches of snow. The next day one and four-fifths inches melted, how much snow was left?

Answers

Answer:

After the melting there were one and three fifths of snow left.

Step-by-step explanation:

Given that a snowstorm dropped three and two-fifths inches of snow, and the next day one and four-fifths inches melted, the following calculation must be performed to determine how much snow was left:

2/5 = 0.40

4/5 = 0.80

3.40 - 1.80 = X

1.60 = X

0.60 = 3/5

Thus, after the melting there were one and three fifths of snow left.

Can someone help me with this question plz.

Answers

Answer:

........................point A

Answer:

point C

Step-by-step explanation:

if you count from 0 with the difference of number 5 then it will be 0.75 in point C

Mia found the area of a polygon The area is 32 square cm.

Which of these polygons has an area of 32 square cm?

Answers

Answer:

Only the isosceles trapezoid has an area of 32 cm².

Step-by-step explanation:

Let's calculate the area of each polygon.

For the two triangles we have:

[tex] A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2} [/tex]

This polygon does not have an area of 32 cm².

For the rectangle we have:

[tex] A_{r} = bh = 6 cm*4 cm = 24 cm^{2} [/tex]

This polygon does not have an area of 32 cm².

For the rectangle trapezoid we have:

[tex] A_{rt} = A_{t} + A_{r} = (4 + 24) cm^{2} = 28 cm^{2} [/tex]

So, this polygon does not have an area of 32 cm².

Finally, for the isosceles trapezoid:

[tex] A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2} [/tex]

This polygon does have an area of 32 cm².

   

Therefore, only the isosceles trapezoid has an area of 32 cm².

I hope it helps you!                              

TIMED HURRY!! For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: y = x squared + 7 x Table A a b c up or down y-intercept 1 7 0 up (0,0) Table B a b c up or down y-intercept 7 1 0 up (0,0) Table C a b c up or down y-intercept 7 1 0 down (0,0) Table D a b c up or down y-intercept 1 7 0 down (0,0) a. Table A c. Table C b. Table B d. Table D

Answers

Answer:

the answer is c

Step-by-step explanation:

We can see that Table A best illustrates the values for the equation.

The answer is (a) Table A.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The given equation is y = x² + 7x.

We can determine the values of a, b, and c by comparing the equation to the standard form of a quadratic equation,

which is y = ax² + bx + c.

In this case,

a = 1, b = 7, and c = 0.

To determine the direction in which the parabola opens, we can look at the coefficient of the x² term, which is a.

Since a is positive, the parabola opens upwards.

The y-intercept is the point where the parabola intersects the y-axis.

To find it, we can set x = 0 in the equation:

y = 0² + 7(0) = 0

So the y-intercept is (0,0).

Thus,

We can see that Table A best illustrates the values for the equation.

The answer is (a) Table A.

Learn more about equations here:

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Please help?! I'm confused I need help with all of them! and if you can please show your work!! For 50 points!

Answers

Answer:

1 x= 23°

2 x= 148°

3 x= 106°

4 x=17.3°

5 x=25°

6 x=30°

7 x=45°

8 x=48°

9 x=44°

A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair.

Answers

Answer:

Step-by-step explanation:

If this class contains these types of hair color THEN the class will have

3/10 kids with black hair

1/10 kids have red hair

2/5 kids have brown hair

1/5 kids have blonde hair

_________________________

In total the class has 20 kids

It is found that the total number of students in the class is 20.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and also 2 with red hair.

If this class contains these types of hair colors of the students, then the class will have;

3/10 kids with black hair

1/10 kids have red hair

2/5 kids have brown hair

1/5 of kids have blonde hair

Total = 6 + 8 + 4 + 2 = 20

In total, the class has 20 students.

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The complete question is;

A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. What is the total number of students in the classes?

PLSSSS HALLPP!!! DUE TODAY!!! PLS AND THANK YOU!!

Find the Compound Interest

Principal: 100
Interest Rate: 0.4%
Time: 1 year

Answers

Answer:

$100.4

Step-by-step explanation:

Compound Interest Formula:

A = P[tex]([/tex]1 + [tex]\frac{r}{100}[/tex][tex])^{t}[/tex]

=> A = 100 x ( 1 + [tex]\frac{0.4}{100}[/tex])^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)

When an object moves on a circular path, the centripetal force varies directly as the square of the velocity and inversely as the radius of the curve. If the force is 640 lb for a velocity of 20 mi/h and radius of 5 m, find the radius for a velocity of 30 mi/h and a force of 1800 lb.

Answers

Answer: I think it's 40

Step-by-step explanation:

I don't know, I just need points. If you take the 640 and divide it by the nearest angular velocity, then square it, then divide by the radius, you get Bolivia

Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year

Answers

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting [tex]P=14000,r=0.10,n=2,t=11[/tex] in the above formula, we get

[tex]A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}[/tex]

[tex]A=14000\left(1+0.05\right)^{22}[/tex]

[tex]A=14000\left(1.05\right)^{22}[/tex]

[tex]A\approx 40953.65[/tex]

Therefore, the accumulated value of the given investment is $40953.65.

Answer:

A = $41,867.06

A = P + I where

P (principal) = $14,000.00

I (interest) = $27,867.06

Step-by-step explanation:

Given: Investment = $14,000 Annual Rate: 10% compounded semiannually = 11 year

To find: The accumulated value of an investment

Formula: [tex]A = P(1 + \frac{r}{n}) ^n^t[/tex]

Solution: First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 14,000.00(1 + 0.1/12)(12)(11)

A = 14,000.00(1 + 0.008333333)(132)

A = $41,867.06

Henceforth:

The total amount accrued, principal plus interest, with compound interest on a principal of $14,000.00 at a rate of 10% per year compounded 12 times per year over 11 years is $41,867.06.

What are the coordinates of the vertex of the graph of the function y=-x^2+ 6x -11?
A. (3.-2)
B. (3.16)
C. (-3, -29)
D. (-3, -20)

Answers

I think the answer is A, but im sorry if its wrong

Answer:

Hi! The answer to your question is D. (-3, -20)

Step-by-step explanation:

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Brainliest is greatly appreciated!

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Find the length of AC using Pythagorean Theorem.

Answers

Answer:

23

Step-by-step explanation:

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Hint: the sample proportion ( p hat) is x/n. n=195, x= 162; 95% confidence

Answers

Answer:

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent

✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …

Justice earned $358.60 this pay period for working 22 hours. How much will he earn if he works 30 hours for the same hourly rate.

Answers

Answer:

489

Step-by-step explanation:

I took 358.60 divided by 22 to find how much they were making per hour which is 16.3 therefore if I took 16.3 times 30 I would get my answer which is 489.

Answer:

$489

Step-by-step explanation:

Justice earns $16.30 per hour (358.6 ÷ 22)

16.3 x 30 = 489

Pls Help! Which of the following equations represents a line that is parallel to the line y = - x – 16.
A.) 10y + 20 = -5x
B.) -4x + 2y = 16
C.) y + 2x = 8
D.) 3y = 4x + 6
Please do not put a link or i will report you!

Answers

I think the answer b

look at pic 10 pts will mark brainilest

Answers

Answer:

its a right angle and the area of it is 24

Step-by-step explanation:

About 9% of men have red-green color blindness. If three men are selected at random, what is the probability that two will be color blind and one will not be color blind?

Answers

Answer: The answer is 0.81 %

Step-by-step explanation:

What Is The Perimeter ? If Necessary, Round To The Nearest Tenth

Answers

Answer:

4 yd

Step-by-step explanation:

The perimeter of a triangle is 9.12 yards.

What is the perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

By using Pythagoras theorem, we get

c²=4²+1²

c²=17

c=√17

c=4.12 yd

Now, perimeter = 4+1+4.12

= 9.12 yd

Therefore, the perimeter of a triangle is 9.12 yards.

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Write an equation for the line that passes through (0, -9) and (3, 0).
y = 3 x + 9
y = 3 x + 3
y = 3 x - 9
y = -9 x + 3

Answers

Answer:

y = 3x - 9    

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,-9) and (3,0) into the formula and simplify:

[tex]m = \frac{(0)-(-9)}{(3)-(0)} \\m = \frac{0+9}{3} \\m = 3[/tex]

So, the slope is 3.

2) Look at all the options. All the equations are in slope-intercept form since they are in a [tex]y = mx + b[/tex] format. Remember that [tex]m[/tex], or the coefficient of the x-term, is the slope. [tex]b[/tex], or the y-intercept, represents the y-intercept.

Knowing this, the answer must be [tex]y = 3x-9[/tex]. The number in place of [tex]m[/tex] is 3, which is the slope we just calculated. Also, since we know that the line passes through (0, -9), that must be the y-intercept since all points on the y-axis have an x-value of 0.

Help! Will give Brainliest

Answers

Answer:

B

..................... ....

One number is equal to the square of another. Find the numbers if both are positive and their sum is 306.​

Answers

Answer: 17 or -18

Step-by-step explanation:

x^2+x=306

x^2+x-306=0

(x-17)(x+18)=0

x-17=0

x=17

x+18=0

x=-18

..i think this is the right answer

For which of the following sample sizes is the sample median most likely to be above $250,000?
A. n = 10
B. n = 50
C n = 100
D. n = 1000
E Impossible to determine without more information

Answers

Answer:

A. n=10

Step-by-step explanation:

your welcome

Answer:

n=100

Step-by-step explanation:

In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000?     That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.

1.Charlie buys two circular pizzas.
The first pizza has a 12- The second pizza has a
inch diameter
14-inch diameter.
How much greater, in square inches, is the area of the second pizza than the first pizza?
Round your answer to the nearest tenth

Answers

Answer:

Step-by-step explanation:

QUESTION 5
One card is selected from a standard deck of playing cards. Find the probability it is an ace or a 9.
Give the answer as a fraction
SHOW ALL WORK!
WILL GIVE U BRAINIEST

Answers

Answer: 2/13

Step-by-step explanation:

4 aces, 4 nines in a deck of 52 cards

so 8/52 chance of getting one of them reduce to 2/13

Is the first answer correct and what's the next answer? Thanks

Answers

Answer:

First answer is correct and the answer for the second question is a = 30

that is correct and the next one is a = 30


4. A sphere with a diameter of 16 mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter.
How high is the cylinder?
O A. 8 mm
OB. 14 mm
O C. 16 mm
O D. 18 mm

Answers

Answer: The answer is A, 8 mm.

Step-by-step explanation:

James recorded the distance he ran each day:

Monday - 2.05 miles
Tuesday - 1.8 miles
Wednesday - 1.45 miles
Thursday - 0.923 miles
Friday - 2.55 miles

What is the difference between his longest distance and shortest distance?

Answers

Answer:

1.627 miles

Step-by-step explanation:

Longest distance: 2.55 miles

Shortest distance: 0.923 miles

difference: 2.55 miles - 0.923 miles = 1.627 miles

5. a) Which figure is the mapping diagram of the relation
shown?

b) is the relation a function

Please help

Answers

Answer:

b, since the others have the input and output on the wrong sides

The answer will be B :)

y divided by the product of 3 and x

Answers

Answer: y/3x

Step-by-step explanation: 3 times x is 3x, so y/3x

What do you think you do well in math? What do you think you could improve upon?

Answers

I think I can improve on memory. I need to remember the formulas of equations because they often slip my mind.

Answer:

i can improve my listening and focus a lot more

Step-by-step explanation:

Other Questions
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