The scale on the map is 1 : 30,000

What is the actual distance presented by 1 centimetre?

Give your answer in metres.

Answer:

Step-by-step explanation:

Answer:

32x - 8

Step-by-step explanation:

8 x 4 = 32

(-)2 x 4 = -8

32x - 8

hope this helps and that it's right :)

Answer:

x = 42

y = 96

w = 48

z = 84

Step-by-step explanation:

for x) 90 - 48 to find x b/c 90 is the sum of that right angle so subtracting 48 from 90 would give you the other side.

for y) 190 - 42 - 42 to find y b/c 180 is the sum of a triangle and we know that the top angle is 42 and the bottom angle is 42.

for w) 180 - 90 - 42 to find w b/c the sum of the entire triangle is 180 and we know that the top angle is 90 b/c it's a right angle and we know that the bottom left is 42.

for z) 180 - 48 - 48 for z b/c we know the two angles now b/c we just found w so we can use that to subtract from 180 to get z.

Answer:

=5/3

Step-by-step explanation:

slope= y2-y1/X2-X1

=(1,1) (-2,-4)

=(-4-1/-2-1)

=-5/-3

=5/3

answer:

i also got what u got 3301.2

Answer: A good way to get a small standard error is to use a large sample.

Step-by-step explanation:

In order to find the small standard error, there is always need of a complete set which is called the large sample.

If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.

Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!

-From a 5th Grade Honors Student

The equation is a shorthand method for writing a mathematical rule.

The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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Answer:

A) x = -1

Step-by-step explanation:

\(f(-1)=3^{-1}=\dfrac13\\\\g(-1)=2(-1)+5=3\\\\\implies f(x) < g(x)\)

\(f(2)=3^{2}=9\\\\g(2)=2(2)+5=9\\\\\implies f(x)=g(x)\)

\(f(-3)=3^{-3}=\dfrac{1}{27}\\\\g(-3)=2(-3)+5=-1\\\\\implies f(x) > g(x)\)

\(f(-4)=3^{-4}=\dfrac{1}{81}\\\\g(-4)=2(-4)+5=-3\\\\\implies f(x) > g(x)\)

In linear equation,  x = -1 is the value of x in  equation .

What are instances of linear equations?

a)   5( 2x - 3 ) -3( 3x - 7 ) = 5

        10x - 15 -9x + 21 = 5

                x + 6 = 5

                  x = 5 - 6

                     x = -1

b) x= 4

           5 (2x - 3) = 5 ( 2 * 4 - 3 )

              = 5 ( 8 - 3 ) ⇒ 5 * 5 = 25

     10x - 15 = 10 * 4 - 15

                  = 40 - 15 ⇒ 25

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The exponential equation that fits the data points (0,35), (1,50), (2,100), (3,200), and (4,400) is y = 35 * (10/7)^x.

To find an exponential equation that fits the given data points, we can use the general form of an exponential equation:

y = a * b^x

where y is the dependent variable (in this case, the second coordinate of each data point), x is the independent variable (the first coordinate of each data point), a is the initial value of y when x is 0, and b is the growth factor.

Using the given data points, we can create a system of equations:

35 = a * b^0

50 = a * b^1

100 = a * b^2

200 = a * b^3

400 = a * b^4

The first equation tells us that a = 35, since any number raised to the power of 0 is 1. We can then divide the second equation by the first equation to get:

50/35 = b^1

Simplifying, we get:

10/7 = b

We can now substitute a = 35 and b = 10/7 into the remaining equations and solve for y:

y = 35 * (10/7)^x

This is the exponential equation that fits the given data points. We can use it to find the value of y for any value of x. This equation gives us a way to predict the value of y for any value of x.

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Answer:

\(y=2x-1\)

Step-by-step explanation:

From the question we are told that

equation has a solution (-3,7)

Generally which means solution pass this point

Mathematically solving for slope and intercept

     \(y=mx +b\)

     \(7=m(3) +b\)

     \(b=7-3m\)

Generally we assume a slope as slope intercept pair a numerous

     \(m=2\)

Mathematically solving

     \(b=7-3m\)

     \(b =7-3(2)\)

     \(b =1\)

Giving the equation to be

     \(y=2x-1\)

By simplifiying the linear equation we will see that it is false, then the correct option is C, there are no solutions.

Here we have the following linear equation:

2x - 5x - 9 = -3x + 2 - 9

We want to solve this linear equation for the variable x, to do so, we need to isolate the variable x in one of the sides of the equation, so let's do that.

First we move all te terms with x to the left side and the terms without x to the right side, so we get:

2x - 5x + 3x = 2 - 9 + 9

(2 - 5 + 3)*x = 2

0*x = 2

0 = 2

So we have a false equation, this means that there is no value of x such that the equation is true, then the equation has no solutions, and the correct option is C.

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Answer:

720

Step-by-step explanation:

125tablets, 2 of which had broken screens.

multiply 45000 by 2, then divide 125=720

Answer:

720

Step-by-step explanation:

125 tablets, 2 of which had broken screens.

Multiply the 45,000 by 2, then divide by 125.

So therefore, the answer is 720.

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

a) Parallel lines have same slope. Compare the slopes of the two lines and we can find m

Write in y =mx + c form

D1 :  -4x + y + 2 = 0

                     y  = 4x  -2

So, m = 4

D2:  (1 + m)x + my - 5 = 0

                        my      = -(1 + m)x + 5

                               y =  \(\frac{-(1 + m)}{m}x+\frac{5}{m}\)

slope = (-1 +m)/m

\(\frac{-(1+m)}{m}=4\\\\\)

Cross multiply,

-1  - m  = 4m          {Add 'm' to both sides }

-1  = 4m + m

-1 = 5m

5m = -1    {Divide both sides by 5}

 m = -1/5

The total length of the wood attached together is 31.89 centimetres

Size of the wood found by Camille = 15.65 centimetres

Size of the wood found by her friend = 16.24 centimetres

The act of determining an object's length in some standard or non-standard units is known as a length measurement. In our daily lives, the ability to measure length is crucial.

Let's say Mathew is shopping with a friend when he notices a lovely picture frame that can be displayed in his parent's bedroom. But how would he go about telling them how long the frame was? If he knows the length of a particular unit, such as 3 feet, he can do that.

The total length of the wood = 15.65 + 16.24 = 31.89 centimeter

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Answer:

402.1 in^2

Step-by-step explanation:

Find the area of the circle with the 18 in. radius first.

Formula for a circle is πr^2

So the area of the circle with the 8 in. radius is 1017.9 in^2

Now do the same for the 14 in. radius circle.

The area for the 14 in. radius circle is 615.8

Now subtract:

1017.9 - 615.8 =

402.1 in^2

hope this helped!

Answer:

1/4 or 0.25

Step-by-step explanation:

The correct answer is e(x) = np. The expected value for a binomial probability distribution is given by the formula e(x) = np, where n represents the number of trials and p represents the probability of success in each trial.

The expected value is a measure of the average or mean outcome of a binomial experiment. It represents the number of successful outcomes one would expect on average over a large number of trials.

The formula e(x) = np arises from the fact that the expected value of a binomial distribution is the product of the number of trials (n) and the probability of success (p) in each trial. This is because in a binomial experiment, the probability of success remains constant for each trial.

Therefore, to calculate the expected value of a binomial probability distribution, we multiply the number of trials by the probability of success in each trial, resulting in e(x) = np.

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The center  ( x - 6)² + (y + 4)² = 1 of circle does not lies in second quadrant.

it lies in fourth quadrant.

A circle equation with centers (h, k) and radius r is ,

                       ( x - h)² + (y - k)² = r²

Regarding the given question,

The circle equations have been given to us.

Each circle's center is located.

We know that any point in the second quadrant has coordinates of the form (-x, y)

The x-coordinate must be a negative number, and the Y-coordinate must be a positive number.

( x - 6)² + (y + 4)² = 1

( x - 6)² + (y + 4)² = 1²

By comparing the above circle equation with ( x - h)² + (y - k)² = r²,  

we get the center = (6, -4) and the radius = 1.

The circle's center is located in the fourth quadrant. The x-axis in this quadrant is positive, while the y-axis is negative.

So here  ( x - 6)² + (y + 4)² = 1 does not lies in second quadrant .

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The solution to the initial value problem ( y^{prime}=2 x y^{2}, y(1)=1 / 2 ) is ( y=frac{1}{x} ).

The first step to solving an initial value problem is to separate the variables. In this case, we can write the differential equation as ( \frac{dy}{dx}=2 x y^{2} ). Dividing both sides of the equation by y^2, we get ( \frac{1}{y^2} , dy=2 x , dx ).

The next step is to integrate both sides of the equation. On the left-hand side, we get the natural logarithm of y. On the right-hand side, we get x^2. We can write the integral of 2x as x^2 + C, where C is an arbitrary constant.

Now we can use the initial condition y(1)=1/2 to solve for C. If we substitute x=1 and y=1/2 into the equation, we get ( In \left( \rac{1}{2} \right) = 1 + C ). Solving for C, we get C=-1.

Finally, we can write the solution to the differential equation as ( \ln y = x^2 - 1 ). Taking the exponential of both sides, we get ( y = e^{x^2-1} = \frac{1}{x} ).

Therefore, the solution to the initial value problem is ( y=\frac{1}{x} ).

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Answer:

If you multiply 6 by an even number, it will end in the same digit. For example, 6 x 4 = 24, so 4 and the 4 in 24 are the same. The number in the tens place will be half the number in the ones place, so the 2 in 24 is half of 4

Answer:

Step-by-step explanation:

The common ratio =  100/500 =  1/5 and the first term a1 = 500.

The rule is a1=500; an = 1/5a(n-1)

Answer:

Step-by-step explanation:

Cos 75 = Cos ( 30 + 45)  {Use Cos (A + B) identity}

            = Cos 30*cos 45 - Sin 30 Sin 45

            \(= \frac{\sqrt{3}}{2}*\frac{1}{\sqrt{2}}-\frac{1}{2}*\frac{1}{\sqrt{2}}\\\\= \frac{\sqrt{3}}{2\sqrt{2}}-\frac{1}{2\sqrt{2}}\\\\=\frac{\sqrt{3}-1}{2\sqrt{2}}\\\\=\frac{(\sqrt{3}-1)*\sqrt{2}}{2\sqrt{2}*\sqrt{2}}\\\\=\frac{\sqrt{3}*\sqrt{2}-\sqrt{2}}{2*2}\\\\=\frac{\sqrt{6}-\sqrt{2}}{4}\)

Data:

Loan=$278 at 10%

A simple interest is calculated for payments on the initial capital.

If the total interest was $174.12.

If the interest is on a year. You calculated the interes of one year. The 10% of $278:

In a year the interest is $27.8.

Then, $174.12 divided into $27.8 is the number of years of the loan:

Answer:

Ok I'll help

Step-by-step explanation:

Answer:

2xy+2x

Step-by-step explanation:

Solve n:

1. Use distributive property:

2. Combine like terms:

3. Substract 3n in both sides of the equation:

4. Add 12 in both sides of the equation

5. Multiply both sides of the equation by (-1):

Answer:

10 ft x 20ft2 ft x 100ft 40ft x 50ft1 ft x 200 ft4ft x 50ft5ft x 40ft 8ft x 25ft

Step-by-step explanation: