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3 years ago

Alejandro wrote the number 6,240,000 in scientific notation. Which number did he write?

Mathematics

1 answer:

Naddika [18.5K]3 years ago

8 0

ANSWER:
He wrote 6.24 x 10^6

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Calculate f '(0) for the following continuous function. (If an answer does not exist, enter DNE.)

nordsb [41]

$\bf f(x)=|x|+4\implies f(x)=\sqrt{x^2}+4\implies f(x)=(x^2)^{\frac{1}{2}}+4
\\\\\\
\cfrac{dy}{dx}=\stackrel{chain~rule}{\cfrac{1}{\underline{2}}(x^2)^{-\frac{1}{2}}\cdot \underline{2} x}\implies \cfrac{dy}{dx}=\cfrac{x}{(x^2)^{\frac{1}{2}}}
\\\\\\
\left. \cfrac{dy}{dx}=\cfrac{x}{\sqrt{x^2}} \right|_{x=0}\implies \stackrel{und efined}{\cfrac{0}{0}}$

3 0

3 years ago

What is the slope of the line that passes through the points (-2, 7) and (2, -5)?

amm1812

Answer:-3

Step-by-step explanation:

6 0

3 years ago

What are the solutions to the following system?<br> -2 x² + y = -5<br> y=-3x²+5

Arturiano [62]

Answer:

$x=\pm\sqrt{2}$

Step-by-step explanation:

This system of equations is convenient, because the second equation already expresses y in terms of x. Now, you can substitute that in.

$-2x^2-3x^2+5=-5$

Multiplying both sides by -1 and bringing the 5 over:

$2x^2+3x^2-10=0$

Combining like terms and factoring out 5:

$5(x^2-2)=0$

Factoring:

$5(x-\sqrt{2})(x+\sqrt{2})=0$

Solutions: $x=\pm\sqrt{2}$

Hope this helps!

3 0

4 years ago

Which of the following is not a congruence theorem or postulate

fomenos

Answer:

AAA

Step-by-step explanation:

AAA is not a congruence theorem or postulate.

8 0

3 years ago

Consider parallelogram ABCD, whose area is 162 sq. feet. If side AD equals 11 feet and the height DE equals 9 feet, find the per

allochka39001 [22]

Answer:

The perimeter of a parallelogram = 58 ft

Step-by-step explanation:

A parallelogram is a quadrilateral with opposite sides parallel and equal in length. Opposite angles are also equal.

Area of parallelogram = base × height

Area = 162 ft²

area = bh

b = ?

h = 9 ft

162 = 9b

divide both sides by 9

b = 162/9

b = 18 ft

The perimeter of a parallelogram = 2(b + s)

where

b = base

s = the other sides

The perimeter of the parallelogram = 2(b + s)

The perimeter of the parallelogram = 2(18 + 11)

The perimeter of the parallelogram = 2(29)

The perimeter of the parallelogram = 58 ft

4 0

3 years ago