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3 years ago

Math help plz!!!

Mathematics

2 answers:

RSB [31]3 years ago

8 0

Answer:

3.458 × 10¹⁷

Explanation:

We multiply the amount of salt per liter, 3.5×10⁻², by the amount of sea water in the South China Sea, 9.88×10¹⁸:

(3.5×10⁻²)(9.88×10¹⁸)

Multiplication is commutative; this means we can switch around the numbers we are multiplying:

(3.5×9.88)(10⁻²×10¹⁸)

Multiplying the numbers in the first set of parentheses, we have 34.58.

To multiply the powers of 10, we use the product property; it states that if we multiply powers that have the same base, we add their exponents:

10⁻²×10¹⁸ = 10⁻²⁺¹⁸ = 10¹⁶

This gives us 34.58 × 10¹⁶. In scientific notation, the decimal must be behind the first non-zero digit; this gives us 3.458. When we move the decimal again, we add 1 to the exponent; this gives us 3.458 × 10¹⁷

topjm [15]3 years ago

3 0

Ik it's late but for those who view this, the true answer is 3.458 x 10^17. Hope that helps ya guys!

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2 v What is the equation of a line that is parallel to y = -4x – 3 and shifted down 3 units?

Ugo [173]

Answer: $y=-4x-6$

Step-by-step explanation:

Given

The equation of line is $y=-4x-3$

The line which is parallel to the given line is $y=-4x+c$

and shifted by 3 units down i.e. its y-intercept is 3 units below the given line

$\therefore y=-4x-3-3\\\Rightarrow y=-4x-6$

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3 years ago

A, B, and C are midpoints of ∆XYZ. What is the length of cy

iogann1982 [59]

Answer:

$XY=36\ units$

Step-by-step explanation:

The correct question is

A, B, and C are midpoints of ∆XYZ. What is the length of XY

we know that

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

step 1

Find the length of YZ

$AB=\frac{1}{2}YZ$

we have

$AB=24\ units$

substitute

$24=\frac{1}{2}YZ$

solve for YZ

$YZ=48\ units$

step 2

Find the length of XY

Applying Pythagoras Theorem in the right triangle XYZ

$XZ^2=XY^2+YZ^2$

substitute the given values

$60^2=XY^2+48^2$

solve for XY

$3,600=XY^2+2,304$

$XY^2=3,600-2,304$

$XY^2=1,296$

$XY=36\ units$

Applying the Midpoint Theorem

$BC=\frac{1}{2}XY$ -----> $BC=\frac{1}{2}(36)=18\ units$

$AC=\frac{1}{2}XZ$ -----> $AC=\frac{1}{2}(60)=30\ units$

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3 years ago

What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point

kiruha [24]

This is going to be an long answer, so I'm putting the answer first. y=3x-7

First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3

Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7

Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.

5 0

3 years ago

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Bucky received $100 for his birthday. How many hours can he jet ski on Lake Smellsomemore if costs $15

mario62 [17]

Answer:

b hours

Step-by-step explanation:

100 minus the 10 on the jacket equals 90. 90 divided by 15 is 6

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3 years ago

Explain the error in the work and how you might prevent it

Law Incorporation [45]

Answer:

The error is -12x² - 14x = - 26x² because 12x² and 14x are unlike terms, so we can not add them

To prevent it the dividend must be written as 6x³ + 0x² - 14x + 1

Step-by-step explanation:

In the division, you must arrange the dividend according to the greatest power of the variable, and put 0 as a coefficient of the missing term to avoid adding, unlike terms.

Example:

If the dividend is 3x³ - 2x + 5, then you must write it as 3x³ + 0x² - 2x + 5

Let us solve our question

∵ The dividend is 6x³ + 1 - 14x

→ You must arrange it from the greatest power of x

∴ The dividend is 6x³ - 14x + 1

∵ The term of x² is missing

→ Write it in the dividend with a coefficient of 0

∴ The dividend is 6x³ + 0x² - 14x + 1

The error is the adding of unlike terms

∵ 6x³ - 14x + 1 ÷ 3x + 6 = 2x² and [6x³ - 14x + 1 - 6x³ - (6x³ + 12x²)]

∵ [6x³ - 14x + 1 - 6x³ - (6x³ + 12x²)] = 6x³ - 14x + 1 - 6x³ - 12x²

∵ 6x³ - 14x + 1 - 6x³ - 12x² = 0 - 12x² - 14x + 1

∵ 0 - 12x² - 14x + 1 = -26x² + 1 ⇒ error

∴ The error is -12x² - 14x = - 26x² because 12x² and 14x are unlike terms,

so we can not add them

→ To prevent it, write 0 as a coefficient of the missing term

∵ The missing term is the term of x²

∴ Add to the dividend the term 0x²

∴ The dividend must be written as 6x³ + 0x² - 14x + 1

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3 years ago

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