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1 year ago

Enter your answer in scientific notation

Mathematics

1 answer:

Oxana [17]1 year ago

4 0

It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

<h3>How do scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of the power of 10 is known, which helps in the easy comparison of quantities differing by a large value.

A comet is about $5.1 \times 10 ^9$ km from the sun.

Light travels at about $3.0 \times 10 ^5$ km per second.

$\dfrac{5.1 \times 10 ^9}{3.0 \times 10 ^5}$

= $1.7 \times 10 ^4$

Hence, It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

Learn more about scientific notation here:

brainly.com/question/3112062

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Members of the theater club sold tickets for the spring

DerKrebs [107]

Answer:

C. 125 + 120x = 180 + 110x

t = $5.5

Step-by-step explanation:

A.125t + 120 = 180t + 110

B. 120t + 110t = 125 + 180

C. 125 + 120t = 180 + 110t

D. 125 - 120t = 180 - 110t

Friday

$125 + 120t

Saturday

110t + 180

equate Friday and Saturday

125 + 120t = 110t + 180

Collect like terms

125 - 180 = 110t - 120t

-55 = -10t

Divide both sides by -10

t = -55 / -10

= 5.5

t = $5.5

6 0

2 years ago

Stephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56

Deffense [45]

Answer:

2.5

Step-by-step explanation:

56(t+1/2)=70 t

56T + 28= 70T

28=70T-56T

28=14

2=T

s=T+ 1/2

S=2+ 1/2

S=2.5 hours

8 0

2 years ago

Read 2 more answers

1+-w2+9w and I need help cuz I’m on 76 and I’m sooo close help

Gnesinka [82]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Simplify :- 1 + - w² + 9w.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\large \sf1 + - w ^ { 2 } + 9 w$

Quadratic polynomial can be factored using the transformation $\sf \: ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right)$ , where $\sf x_{1} and x_{2}$ are the solutions of the quadratic equation $\sf \: ax^{2}+bx+c=0$ .

$\large \sf-w^{2}+9w+1=0$

All equations of the form $\sf\:ax^{2}+bx+c=0$ can be solved using the quadratic formula: $\sf\frac{-b±\sqrt{b^{2}-4ac}}{2a}$ . The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

$\large \sf \: w=\frac{-9±\sqrt{9^{2}-4\left(-1\right)}}{2\left(-1\right)} \\$

Square 9.

$\large \sf \: w=\frac{-9±\sqrt{81-4\left(-1\right)}}{2\left(-1\right)} \\$

Multiply -4 times -1.

$\large \sf \: w=\frac{-9±\sqrt{81+4}}{2\left(-1\right)} \\$

Add 81 to 4.

$\large \sf \: w=\frac{-9±\sqrt{85}}{2\left(-1\right)} \\$

Multiply 2 times -1.

$\large \sf \: w=\frac{-9±\sqrt{85}}{-2} \\$

Now solve the equation $\sf\:w=\frac{-9±\sqrt{85}}{-2}$ when ± is plus. Add -9 to $\sf\sqrt{85}$ .

$\large \sf \: w=\frac{\sqrt{85}-9}{-2} \\$

Divide -9+ $\sf\sqrt{85}$ by -2.

$\large \boxed{ \sf \: w=\frac{9-\sqrt{85}}{2}} \\$

Now solve the equation $\sf\:w=\frac{-9±\sqrt{85}}{-2}$ when ± is minus. Subtract $\sf\sqrt{85}$ from -9.

$\large \sf \: w=\frac{-\sqrt{85}-9}{-2} \\$

Divide $\sf-9-\sqrt{85}$ by -2.

$\large \boxed{ \sf \: w=\frac{\sqrt{85}+9}{2}} \\$

Factor the original expression using $\sf\:ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right)$ . Substitute $\sf\frac{9-\sqrt{85}}{2}$ for $\sf\:x_{1}$ and $\sf\frac{9+\sqrt{85}}{2}$ for $\sf\:x_{2}$ .

$\large \boxed{ \boxed {\mathfrak{-w^{2}+9w+1=-\left(w-\frac{9-\sqrt{85}}{2}\right)\left(w-\frac{\sqrt{85}+9}{2}\right) }}}$

Well, in the picture you inserted it says that it's 8th grade mathematics. So, I'm not sure if you have learned simplification with the help of biquadratic formula. So, if you want the answer simplified only according to like terms then your answer will be ⇨

$\large \sf \: 1 + - w {}^{2} + 9w \\ =\large \boxed{\bf \: 1 - {w}^{2} + 9w}$

This cannot be further simplified as there are no more like terms (you can use the biquadratic formula if you've learned it.)

4 0

2 years ago

What is the length of a picture frame whose width is 3 inches and whose proportions are the same as as a 9-inch wide by 15-inch

mezya [45]

The answer is 5

Explanation:

The 9 by 15 picture is similar to the 3 by x picture, meaning its the same shape but not the same size.

Since we know what the width is for the first picture we have to get the width of the second picture to equal the same width without changing the shape.

To do that you divide BOTH 9 and 15 by 3

And you get 3 and 5.

Hope this help you understand better.

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2 years ago

How do you determine between which 2 numbers a fraction lies

dimulka [17.4K]

If it has a number before the fraction, it is between that and the next number, if not, it is between 0 and 1. if it is negative, it is between 0 and -1 with the above rules, just if it is only negative

8 0

3 years ago

Read 2 more answers