A student takes his 2 dogs for a walk. He lets them off their leash in a field where Edison runs at 10 m/s and Einstein runs at 8 m/s. The student determines the angle between the dogs is 25°, how far are the dogs from each other in 5 seconds?

Notice that

(1 + x)(1 + y) = 1 + x + y + x y

So we can add 1 to both sides of both equations, and we use the property above to get

a + b + a b = 76  ==>  (1 + a)(1 + b) = 77

and

c + d + c d = 54  ==>  (1 + c)(1 + d) = 55

Now, 77 = 7*11 and 55 = 5*11, so we get

a + 1 = 7  ==>  a = 6

b + 1 = 11  ==>  b = 10

(or the other way around, since the given relations are symmetric)

and

c + 1 = 5  ==>  c = 4

d + 1 = 11  ==>  d = 10

Now substitute these values into the desired quantity:

(a + b + c + d) a b c d = 72,000

Answer:

x + y = 26  and x – y = 12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

just did it

Answer:

126 points :D

Step-by-step explanation:

Quick answer 126

You already have what "c" is so all you have to do it plug it in. If something says 3c or any number and any letter all you have to do is times the number by whatever that letter is so if c is 41 then 3c+3 would be 3 x 41 + 3.

Answer:

0≤y≤5

Step-by-step explanation:

The range is the values of the output, or in this case the y values

The y values go from 0 to 5

0≤y≤5

The answer is C.

You can see visually that the function's domain lies within range from -5 to 5 on the x axis.

12%

The cost Esme increased was 200, but then she reduced 20%of 700, which gives 140 dollars reduced. So, we subtract 140 from 200, which is 60 to find the actual increase.

Now, we follow the simple rules of percentage change

Increase divided by original times 100.

So, 60 divided by 500( not 700) times 100 = 12

Answer:

I usually explain even in the answer.

So we use som[tex]\sqrt{x}[/tex]ething called distance formula which is branched of Pythagorean theorem.

But we dont need to as it just makes it more complicated. We need to find split into 2 vectors, one vertical, and horizontal. The horizontal is 5 long.

The vertical is 1, you can find them by calculating how long is it and how tall.

Use pythogorean theorem from the formula and do 5^2+1^2 = c^2

25+1 = 26, so the answer is √26

I am pretty sure answer is right. Always take abolute value

√26

Answer:

A Graph b

Step-by-step explanation:

Since the two lines are parellel, they will never intersect and there will be no solutions

Answer: ΔKE = 760.5 Joules

Step-by-step explanation:

Isnt the formula for ΔKE = 0.5m*v^2???

Im not going to use that formula you gave me, its wrong.

900/2 = 450

1.3^2 = 1.69

450 x 1.69 = 760.5 Jules

This is also the wrong subject btw

Answer:y=[tex]y=-\frac{5}{6} x+100[/tex]

Step-by-step explanation:

my answer was wrong and cannot be deleted :)

Answer:

25 degrees

Step-by-step explanation:

The angle WRS for the given triangle will be ∠WRS = 25°.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given that the triangle has an angle as shown in the image

The angle TRW → 25x + 30 = 180 -5x

→ x = 5°

Now the angle WRS → 180 - ( 25x + 30)

∠WRS = 25° hence, the correct answer will be this.

For more about the angle

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Answer:

38^3+10^2+26x+3 over 18x+1

Step-by-step explanation:

Start by adding x's that are alike together.

4x^3+34x^3= 38^3

then do the same to the other x's

5x^2+5x^2= 10^2

Last x's

13x+13x=26x

For the final equation, you should have

38^3+10^2+26x+3

For the bottom equation, you do the same thing.

4x+14x= 18x

Final equation, really easy, is 18x+1

For the final answer you should have

38^3+10^2+26x+3 over 18x+1

Lmk if it helps!! :)

Answer:

2x=125-10. Answer is 57.5

Step-by-step explanation:

It was asking for the length of the missing sides, and both of them are the same so its 2x= something. the other 2 sides are the same length (5) so that's where the 10 comes from. The 125 is the total perimeter. So, first you subtract 10 from 125 and you get 115. And then you divide 2 on both sides and you get x=57.5

I hope this helped :)

If this answer helped the most, give it the brainliest.

Answer:

a. 54

b. 9.35

Step-by-step explanation:

a. First, divide 15.34 by 0.59 to find the number of songs you had to pay for.

15.34/0.59 = 26

then add it to the number of free songs you downloaded

26 + 28 = 54

b. divide 15.34 by 1.64

15.34/1.64 = 9.35

for c I would just multiply 1.65 by the usd exchange rate (1.64) which is 2.10 so you could afford 3 more songs but I don't know what equation exactly you would use or if what I did works.

Answer:

x is all real numbers

Step-by-step explanation:

The domain is the input to the function.  It is the values that x can take.

For this function, x can be any real value

Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Slope equation is (y2-y1)/(x2-x1)

(-1-4)/(2-3)

-5/-1

5

Answer: -5/18 - (-1/4) = -1/36

Step by step:

To subtract,  find the LCD and then combine

So this is your answer,

-1/36

Answer:

A

Step-by-step explanation:

If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40

If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.

We have given that,

Rebecca is given two triangles, ABC and DEF.

At first glance, she thinks that the triangles are congruent.

Therefore we have

Rotation is circular movement.

A rotation is the movement of something through one complete circle.

The daily rotation of the earth upon its axis.

If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40.

Therefore, If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.

To learn more about the rotation visit:

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Answer:

I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.

Step-by-step explanation:

The formula for a cone is

[tex]\pi \times r {}^{2} \times \frac{h}{3} [/tex]

From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:

[tex]r {}^{2} \times \frac{h}{3} = 540[/tex]

Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:

[tex]r {}^{2} h = 1620[/tex]

Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:

[tex]r \times h = 40.249[/tex]

If I knew the radius. I could get the answer by dividing both sides by the radius.

Good luck!

Answer:

32500

Step-by-step explanation:

[tex]3.25 \times {10}^{4} = 3.25 \times 10000 \\ = 32500[/tex]

Answer:

32500

Step-by-step explanation:

3.25 x 10 to the power of 4 = 3.25 x 10000 = 32500

Answer:

54 adult tickets and 27 child ticket

54×9.10+5.20×27=631.80

419.4+104.4=631.80

631.80=631.80 ( so it's the answer)

Answer:

  (5, 7)

Step-by-step explanation:

A hole is found in the graph of a rational function where numerator and denominator factors cancel each other.

The x-coordinate of the hole is the value of x that makes the factor zero. The y-coordinate of the hole is the value of the simplified function after the cancelled factors are removed. It is the limit of the function value as x approaches the hole location.

__

  [tex]f(x)=\dfrac{x^2-3x-10}{x-5}=\dfrac{(x+2)(x-5)}{x-5}=x+2\qquad x\ne 5[/tex]

The hole is found at x = 5. The limit of the function value as x approaches 5 is 5+2 = 7. The coordinates of the hole are (5, 7).

Answer:

97.96 cm

596.14 cm²

Step-by-step explanation:

sides become:

and added corners:

then perimeter is:

the area left is:

Answer:

[tex]1+6i[/tex]

Step-by-step explanation:

The expression [tex]1-6i[/tex] represents a complex number. Particularly, complex solutions can't happen in odd number, for example, the minimum complex solutions an expression can have is 2.

Additionally, complex solutions are related by conjugates, which means the second solution to this polynomial is [tex]1+6i[/tex], because is the conjugate of the given complex root.

Answer:

C

Step-by-step explanation:

The function [tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex] represents the stretch of an exponential decay function.

The process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula [tex]y = a(1-b)^{x}[/tex]

where,

y is the final amount,

a is the original amount,

(1 -b) is the decay factor,

and x is the amount of time that has passed.

For a  exponential decay function (1-b) is always less than 1. If (1-b) < 1 it represents the exponential growth function.

And if a < 1, then it represents vertical compression and if a > 1, then it represents vertical stretch.

According to given question.

We have some functions in which we have to find the which one represents the decay function.

According to the function

[tex]f(x) = \frac{4}{5}(\frac{5}{4} )^{x} }[/tex]

For the decay function, the decay factor will always less than 1. In the above function the decay factor [tex]\frac{5}{4}[/tex] i.e. 1.25 is greater than 1.

Therefore, the above function doesn't represent decay function.

[tex]f(x) = \frac{4}{5}( \frac{4}{5} )^{x}[/tex]

Here, a < 1 i.e.  [tex]\frac{4}{5}[/tex] is less than 1 so the given function is not a stretch of an exponential decay function.

[tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex]

Here, b < 1 so it represents the exponential decay function. Also a > 1.

Therefore, the given function is the stretch of an exponential decay function.

[tex]f(x) = \frac{5}{4} (\frac{5}{4}) ^{x}[/tex]

Here, a > 1 but b > 1. Therefore, the above function doesn't represent the exponential decay function. It represents the exponential growth function.

Find out more information about exponential decay function here:

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Answer:

D. 45°

Step-by-step explanation:

Since the lines are parallel, 2y°=90° If you divide both sides by 2, y°=45°

can you please rotate the picture

Answer:

C

Step-by-step explanation:

The length of the segment is 7

2-7/2 = -3/2

(1,-3/2)