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4 years ago

Which number is in scientific notation

Mathematics

1 answer:

I am Lyosha [343]4 years ago

6 0

The choice D is in scientific notation
7.8*10^5

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Find the value of x!!!!!!!!!!!!

Phantasy [73]

Answer:

$x=3\sqrt{7}$

Step-by-step explanation:

If a tangent and a secant connect to an exterior point of a circle, the tangent squared is equal to the product of the two segments the secant creates.

Therefore, we have:

$x^2=7 \cdot 9,\\x^2=63,\\x=\sqrt{63}=\boxed{3\sqrt{7}}$

8 0

3 years ago

Y= - x+2 Y=3x-4<br> Estimate the solution to the system of equations

IrinaVladis [17]

Answer:

$x=\frac{3}{2}\\ y=\frac{1}{2}$

Step-by-step explanation:

$y=-x+2\\y=3x-4$

Let's solve one of them for x.

$y=3x-4$

Add 4

$y+4=3x$

Divide by 3.

$x=\frac{y+4}{3}$

Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.

$x=\frac{y+4}{3}$

$x=\frac{(-x+2)+4}{3}$

$x=\frac{-x+2+4}{3}$

$x=\frac{-x+6}{3}$

Multiply by 3 to get rid of the denominator.

$3x=-x+6$

add x

$3x+x=6$

Combine like terms;

$4x=6$

Divide by 4.

$x=\frac{6}{4}$

Simplify.

$x=\frac{3}{2}$

Now that you found the value of x, replace it in any of the equations to find y.

$y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2$

$y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}$

Proof:

$y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4$

$\frac{1}{2}=\frac{9-4*2}{2}$

$\frac{1}{2}=\frac{9-8}{2}$

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

8 0

4 years ago

Write the domain and range as inequalities.

Andrews [41]

Answer:

domain: -∞ < x < ∞
range: -2 ≤ y < ∞

Step-by-step explanation:

<u>Domain</u>

The domain is the horizontal extent of the function, the set of input values for which it is defined. A parabola that opens up or down is defined for all x values, so its domain is ...

-∞ < x < ∞ . . . . . . (-∞, ∞) in interval notation

<u>Range</u>

The range is the vertical extent of the function, the set of output values it produces. The vertex of the parabola is one extreme of the range. Depending on the direction it opens, the other extreme will be +∞ or -∞. The range includes the y-value of the vertex. Here, the range is ...

-2 ≤ y < ∞ . . . . . . [-2, ∞) in interval notation

6 0

4 years ago

A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in.

marishachu [46]

The number of cubes needed to fill the rectangular prism 4608 cubes.

<h3>How to find volume of rectangular prism and cube?</h3>

volume of rectangular prism = lwh

where

l =length
w = width
h = height

Therefore,

volume of the rectangular prism = 8 × 4 × 9 / 4 = 72 inches³

volume of the cube = l³

where

l = length

Therefore,

volume = (1 / 4)³

volume of the cube = 1 / 64 inches³

Therefore,

The number of cubes needed to fill the rectangular prism = 72 ÷ 1 / 64

The number of cubes needed to fill the rectangular prism = 72 × 64 = 4608

learn more on volume here;brainly.com/question/14996332

#SPJ1

3 0

2 years ago

A children's ride at an amusement park has a rule that a person must be shorter than 4 feet tall to ride it.

Juliette [100K]

Answer:

Step-by-step explanation:

8 0

3 years ago