Answer:
Horizontal displacement = 100 km
Position with respect to sea level = -0.4km
Step-by-step explanation:
Let the displacement downwards be negative displacement and displacement upwards be positive.
The horizontal distance from the shore remains constant whereas the displacement from the sea level varies as the submarine moves.
The upward displacement = 3/5 km
Downward displacement = - 1/10 km and - 9/10 km
Total displacement = 3/5km - 1/10 km - 9/10km = - 2/5 km = - 0.4 km
Horizontal distance from the shore = 100km
Answer: she uses 2 eggs for one batch of brownies and 4 eggs for one batch of cookies.
Step-by-step explanation:
Let x represent the number of eggs that she uses for one batch of brownies.
Let y represent the number of eggs that she uses for one batch of cookies.
Last month, she made 2 batches of brownies and 3 batches of cookies. This means that
2x + 3y = 16 - - - - - - - - - -1
The month before, she baked 1 batch of brownies and 1 batch of cookies, which required a total of 6 eggs. This means that
x + y = 6 - - - - - - - - - - - - - 2
Multiplying equation 1 by 1 and equation 2 by 2, it becomes
2x + 3y = 16
2x + 2y = 12
Subtracting, it becomes
y = 4
Substituting y = 4 into equation 2, it becomes
x + 4 = 6
x = 6 - 4 = 2
Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.
<h3>What is an exponent?</h3>
Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
The exponent expression is 2³ × 2⁻⁴ can be simplified.
Add the exponents and keep the same base. Then we have
2³ × 2⁻⁴ = 2⁽³⁻⁴⁾
2³ × 2⁻⁴ = 2⁻¹
Then find the reciprocal and change the sign of the exponent.
The value is 0.5.
More about the exponent link is given below.
brainly.com/question/5497425
<span>It is not clear whether the populations are proportional to the radii or to the areas, but I seem they are proportional to the areas, which is to say to the square of the radii. So China's population % should be (17%)(3.4/3.2)^2 = sorry I don't bring a calculator right now. But you can solve it easily.</span>
Answer:
X = 1
Step-by-step explanation:
To solve the system of equation by susbtitution:
3x + y = 9
y = –4x + 10
We can follow the steps thus:
<em />
<em>Substitute the value of y in the first equation:</em>
As in the second equation y = -4x + 10 we can substitute in the first equation as follows:
3x + y = 9
3x + -4x + 10 = 9
<em>Combine like terms: </em>
3x + -4x + 10 = 9
Like therms are the therms with X (3x - 4x = -1x):
-1x + 10 = 9
<em>Apply the subtraction property of equality: </em>
-1x + 10 = 9
As 10 is suming, it passes to subtracting the 9:
-1x = 9 - 10
-1x = -1
<em>Apply the division property of equality:</em>
-1x = -1
Dividing in -1:
x = -1 / -1
<h3>X = 1</h3>
