Two airplanes leave an airport at the same time, flying in the same direction. One plane is flying at twice the speed of the other. If after 4 hours they are 1800 km apart, find the speed of each plane.

The battery life of the latest model after 7 months would be approximately 828.402 minutes.

The battery life increment is 4% longer than the previous model.

To calculate the battery life for each month, we can multiply the battery life by 1.04.

Starting with the initial battery life of 697.0 minutes, we can calculate the battery life after 7 months as follows:

697.0 * (1.04)^7

Using a calculator, we can evaluate this expression:

697.0 * (1.04)^7 ≈ 828.402.

Therefore, the battery life of the latest model after 7 months would be approximately 828.402 minutes.

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Answer:

\(34 + ( - 21) + 15 = 28\)

Answer:

4/20 red 5/20 orange

Step-by-step explanation:

see how many their are then add up all the candies then boom theres your answer

Solution

For this case let :

x= number of adults

y= number of children

We can create the following equations:

x +y =8

5.5 x + 3.0 y=36.50

Then we can solve for x and we got:

x = 8-y

And replacing in the second equation we got:

5.5*(8-y)+ 3y = 36.50

44 -5.5y +3y = 36.50

44-36.50 =2.5y

7.5 =2.5y

y= 3

And for x we got:

x = 8- 3=5

Then the solution would be:

5 adult tickets

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

Answer:

Step-by-step explanation: 8/3is equivalent fraction to three

Answer:

9/24

Step-by-step explanation:

In translation of a triangle., we can change coordinates anywhere with same dimension but in reflection of a triangle for specific axis the coordinates are reflected on opposite side of a axis.

What is a triangle?

In Geometry, triangles are the type of polygons, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

Based on the sides of a triangle, a triangle is classified into 3 types, namely:

Scalene Triangle – All the sides are of different measures.

Isosceles Triangle – Two sides of a triangle are of the same measure and the remaining side has a different measure.

Equilateral Triangle – All the 3 sides of a triangle are of the same measure.

Based on the angles of a triangle, a triangle is classified into 3 types, namely:

Acute Angle Triangle – All the angles of a triangle is less than 90°.

Obtuse Angle Triangle – One of the angles of a triangle is greater than 90°.

Right Angle Triangle – One of the angles of a triangle is equal to 90°.

Now,

Reflection

Reflection is flipping an object across a line without changing its size or shape.

Translation is sliding a figure in any direction without changing its size, shape or orientation.

E.g. are in graph.

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Answer:

Range= 32

Step-by-step explanation:

Take the highest value in the set (76) and subtract the lowest set from it (44).   76 - 44 = 32

Answer:

$33.60

Step-by-step explanation:

%20 of 28 is 5.6

add $5.60 to 28= 33.60

Answer:

$33.6

Step-by-step explanation:

28 x 0.20 = 5.6 ...tip

total cost = 28 + 5.6 = 33.6

Answer:

plug in those values into y = mx +b

m = the slope

b= y-intercept

the equation of the line is:

y = 1/5x +10

Step-by-step explanation:

I hope this helped :)

Answer:

Hello! answer: D. 180

Step-by-step explanation:

What you do for these is find the surface area for each face separately then add them up so...

for the sides its 18 for the top and bottom it's 48 for the front and back it's 24 so now we add all 6 up so... 18 + 18 + 48 + 48 + 24 + 24 = 180 Hope that helps!

Answer:

180 in²

Step-by-step explanation:

To wrap the given box, we need to find the total surface area of the figure.

TSA of cuboid = 2 (lb + bh + hl)

= 2 { (6*8) + (8*3) + (3*6) }

= 2 ( 48 + 24 + 18 )

= 2 * 90

= 180 in²

Answer:

A

Step-by-step explanation:

bc thats the one that makes more sense to me

Answer:

A

Step-by-step explanation:

It’s a, because equiangular triangle means having an equal angles

The ordered pairs of the solution to the system of equation are (-5, -3).

System of equation can be solved using methods like substitution method, elimination method and graphical method.

Let's solve the system of equation by substitution method.

Therefore,

-3x + 2y = 9

x - 3y = 4

Hence,

x = 3y + 4

Substitute the value of x in equation(i)

-3x + 2y = 9

-3(3y + 4) + 2y = 9

-9y - 12 + 2y = 9

-7y = 9 + 12

-7y = 21

y = 21 / -7

y = -3

Let's find x using equation(ii)

x = 4 + 3y

x = 4 + 3(-3)

x = 4 - 9

x = -5

Hence, x = -5 and y = -3

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Answer:

Your answer is B

Step-by-step explanation:

rotating about/around the origin taking a shape and rotating it with the same values but around the point (0,0). so rotating your shape ABC around (0,0) with the same value would give you the shape A'B'C'

The Horizontal Line Test states that; if when drawing a horizontal line to the graph of a function, this line cuts the function at more than one point, the inverse of that function is not a function.

Applying the test for graphs attached:

We can conclude the inverse of graphs number 1, number 2 and number 4, are not functions because the lines cut in mere than one point.

Answer:

r= -sec(θ) x ∛2

θ=0

Step-by-step explanation:

Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

Answer:

\(-1 \le u, v \le 1\) --- restriction

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{(1 - u^2)(1 - v^2)} + uv\)

Step-by-step explanation:

Given

\(\sin(\cos^{-1}u + \sin^{-1}v)\)

Required

Write in terms of u and v

Let:

\(a =\cos^{-1}u\)

Take arc cos of both sides

\(\cos a = u\)

Using the following trigonometry identity

\(\sin^2a + \cos^2a = 1\)

So:

\(\sin^2a = 1 -\cos^2a\)

\(\sin^2a = 1 -u^2\)

Take square roots of both sides

\(\sin a = \sqrt{1 -u^2\)

So, we have:

\(\cos a = u\)     \(\sin a = \sqrt{1 -u^2\)

Let:

\(b =\cos^{-1}{\sqrt{1 - v^2}}\)

Take arc cos of both sides

\(\cos b = \sqrt{1 - v^2\)

So:

\(\sin^2b = 1 -\cos^2b\)

\(\sin^2b = 1 - (\sqrt{1 - v^2})^2\)

\(\sin^2b = 1 - (1 - v^2)\)

\(\sin^2b = 1 - 1 + v^2\)

\(\sin^2b = v^2\)

Take square roots

\(\sin b = v\)

So, we have:

\(\cos b = \sqrt{1 - v^2\)     \(\sin b = v\)

So, we have:

\(\sin(\cos^{-1}u + \sin^{-1}v)\)

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sin(a + b)\)

Apply sine rule

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sin a\ cos b + \sin b \cos a\)

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{1 - u^2} * \sqrt{1 - v^2} + v *u\)

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{(1 - u^2)*(1 - v^2)} + v *u\)

Expand

\(\sin(\cos^{-1}u + \sin^{-1}v) = \sqrt{(1 - u^2)(1 - v^2)} + uv\)

The restriction on u and v is:

\(-1 \le u, v \le 1\)

Answer: This is True.

Answer:

Step-by-step explanation:

Theoretically speaking, both equations need to equal 0.

Let's start with (x + 8)

x + 8 = 0

x = 0 - 8

x = -8

Then, let's go to (y - 10)

y - 10 = 0

y = 10 = 0

y = 10

So, x = -8 & y = 10

Hope that helps!

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

Answer:

Step-by-step explanation:

Hey there,
Here's my reasoning regarding the problem:

Let's assume that the watch at the time it was lost was x years old.
When it was picked it was 3 times as old as it was when it was lost therefore it's currently 3x. The time between when it was lost and when it was found is 38 years. We can break this down into a simple algebraic formula:

3x - x = 38

2x = 38

x = 19

One of the closest answers would be 3.010\(^{10}\)

Answer: 3 1/3

2/3 x 5 = 10/3 = 3 1/3

2 x 5/3 = 10/3 = 3 1/3

Answer:

\(= \dfrac{10}{3}\)

Step-by-step explanation:

We can rewrite any whole number as itself over 1.

For example, \(5 = \dfrac{5}{1}\).

We can use this tactic to rewrite one of the given (equivalent) expressions. I'll use the one on the left side of the equation.

\(\dfrac{2}{3} \times 5 = \dfrac{2}{3} \times \dfrac{5}{1}\)

Then, we can simplify the multiplication of fractions by multiplying out the both the numerators and denominators.

\(= \dfrac{2}{3} \times \dfrac{5}{1}\)

\(= \dfrac{2\times 5}{3 \times 1}\)

\(= \dfrac{10}{3}\)

Answer:

she needs 4 and will have 1/3 of a sandwich left

Step-by-step explanation:

Answer:

12 pices remainder 1

Step-by-step explanation:

Because if u split a sandwich in 12 pices u get 1 extra sandwich left over and 12 is good enough for 11 ppl hope I helped

Expression: 2a - b + c

a = 3, b = 4, c = 10

To evaluate such expression, all we have to do is substitute these values to the expression like this:

Therefore 2a + b - c = 12 if a = 3, b = 4, and c = 10.

Answer:

15

Step-by-step explanation:

substitute x = 2 and y = 3 into the expression

12x - 3y

= 12(2) - 3(3)

= 24 - 9

= 15