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3 years ago

If (2p + 1) is a prime number, which one of the following digits could be the value of p?

1 answer:

8 0

Mount Chimborazo's
Mount Chimborazo's peak is the furthest point on Earth from Earth's center. The summit is over 6,800 feet [2,072 meters] farther from Earth's center than Mount Everest's summit. Mauna Kea is the tallest mountain from base to peak at more than 33,500 feet [10,210 meters

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(3.8 x 10 ^ -6) x (2.37 x 10 ^ -3) Enter the answer in science notification

Black_prince [1.1K]

Multiply the coefficients and the powers of 10 with each other:

$(3.8 \times 10^{-6}) \times (2.37 \times 10^{-3}) = (3.8\times2.37) \times (10^{-6} \times10^{-3})$

The numeric part simply yields

$3.8\times2.37 = 9.006$

As for the powers of 10, you have to add the exponents, using the rule

$a^b \times a^c = a^{b+c}$

So, we have

$10^{-6} \times10^{-3} = 10^{-6-3} = 10^{-9}$

So, the final answer is

$9.006\times 10^{-9}$

7 0

2 years ago

4x^2-5x=0 Help me pls!!!!!

matrenka [14]

The answer to this is: x = 0, 5/4

8 0

3 years ago

Apply the zero product property to solve the equation below: x (x + 2) = 0

True [87]

Answer:

0(-2+2)=0

Step-by-step explanation:

x=0

x=-2

0(-2+2)=0

3 0

2 years ago

Integrate the following. ∫<img src="https://tex.z-dn.net/?f=84dx" id="TexFormula1" title="84dx" alt="84dx" align="absmiddle" cla

bogdanovich [222]

Answer:

$\displaystyle \int {84} \, dx = 84x + C$

General Formulas and Concepts:

Calculus

Integration

Integrals
Definite/Indefinite Integrals
Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \int {84} \, dx$

Step 2: Integrate

[Integral] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle \int {84} \, dx = 84\int {} \, dx$
[Integral] Reverse Power Rule: $\displaystyle \int {84} \, dx = 84x + C$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integrations

4 0

2 years ago

Factor the following polynomial completely. - x2y2 + x4 + 9 y2 - 9 x2 ( x - 3)( x - 3)( x + y )( x - y ) ( x + 3)( x + 3)( x + y

natulia [17]

Answer:

( x + 3)( x - 3)( x + y )( x - y )

Step-by-step explanation:

You can group the terms in pairs and factor each pair:

-x^2y^2 + x^4 + 9y^2 - 9x^2 = x^2(-y^2+x^2) -9(-y^2+x^2)

= (x^2 -9)(x^2 -y^2)

Each of these factors is the difference of squares, so can be factored as such:

= (x +3)(x -3)(x +y)(x -y)

3 0

2 years ago