identify the product and it in scientific notation. 4.7 x(6.02 x 10^23)

Answers

Answer 1
4.7 x(6.02 x 10^23)
= (4.7 x 6.02)(4.7 x 10^23)
= (2.8294 x 10^1)(4.7 x 10^23)
= (2.8294 x 4.7)(10^1 x 10^23)
= 13.29818 x 10^24
= 1.329818 x 10^25
Answer 2

the product of [tex]\( 4.7 \times (6.02 \times 10^{23}) \) is \( 2.8294 \times 10^{24} \).[/tex]

Sure, let's identify the product and express it in scientific notation.

[tex]\( 4.7 \times (6.02 \times 10^{23}) \)[/tex]

To find the product, we simply multiply the two numbers:

[tex]\( 4.7 \times 6.02 \times 10^{23} \)[/tex]

First, we multiply 4.7 by 6.02:

[tex]\( 4.7 \times 6.02 = 28.294 \)[/tex]

Next, we multiply this result by [tex]\( 10^{23} \):[/tex]

[tex]\( 28.294 \times 10^{23} \)[/tex]

Now, to express this product in scientific notation, we need to adjust the decimal point so that the number is between 1 and 10:

[tex]\( 2.8294 \times 10^{24} \)[/tex]

Therefore, the product of [tex]\( 4.7 \times (6.02 \times 10^{23}) \) is \( 2.8294 \times 10^{24} \).[/tex]

1. First, we multiplied 4.7 by 6.02 to get 28.294.

2. Then, we multiplied this result by [tex]\( 10^{23} \)[/tex] to shift the decimal point 23 places to the right, resulting in[tex]\( 2.8294 \times 10^{24} \)[/tex]  in scientific notation.

This method helps in handling large numbers efficiently, especially when dealing with calculations involving scientific notation and significant figures.

complete question

identify the product and it in scientific notation. 4.7 x(6.02 x 10^23)


Related Questions

A person at ground level measures the angle of elevation to the top of a building to be 74 degrees. If at this point the person is 34 feet away from the base of the building, then how tall is the building? (Please round to the tenths place; please show work/steps and provide units with your answer) WILL GIVE BRAINIEST

Answers

to find the height of the building multiply the distance ( 34 feet) by the tangent of the angle(74)

34 * tan(74) = 118.57 feet


Hello,


34 * tan(74) = 118.57 feet


Hope this helps

A bus can carry 50 people per run. At least how many times does the bus have to run in order to transfer 25,000 people?

Answers

500 times, to transfer 25,000 people. Let me know if this helped.
500 times is the answer

What are the solutions of 2x2 + 8x = −26

Answers

We do like the following
4+8x=-26
and 8x=-26-4
so 8x=-30
and we divide by 8 and x=-30/8=-15/4
Have fun

suppose you deposit $25,000 in to a fund for which the annual interest rate is 5.3% compounded continuously. find the number of years it will take to double in value (round your answer to the nearest tenth of a year)

Answers

so, the principal is 25,000, when it double then, the accumulated amount is 50,000.

[tex]\bf \qquad \textit{Continuously Compounding Interest Earned Amount}\\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\to &\$50000\\ P=\textit{original amount deposited}\to& \$25000\\ r=rate\to 5.3\%\to \frac{5.3}{100}\to &0.053\\ t=years \end{cases} \\\\\\ 50000=25000e^{0.053t}\implies \cfrac{50000}{25000}=e^{0.053t}\implies 2=e^{0.053t} \\\\\\ ln(2)=ln(e^{0.053t})\implies ln(2)=0.053t\implies \cfrac{ln(2)}{0.053}=t \\\\\\ 13.0782486898102888\approx t\implies 13.08\approx t[/tex]

What is cos θ if sec θ = 2?

Answers

[tex]\bf cos(\theta)=\cfrac{1}{sec(\theta)}\qquad \qquad \boxed{sec(\theta )=2}\implies cos(\theta)=\cfrac{1}{\boxed{2}}[/tex]

Answer:

the value of cos θ is [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

Since, [tex] cos\theta=\frac{1}{sec\theta}[/tex]

we are given with sec θ = 2

To find the value of cos θ , we use this fact [tex] cos\theta=\frac{1}{sec\theta}[/tex]

put sec θ = 2 in [tex] cos\theta=\frac{1}{sec\theta}[/tex]

[tex] cos\theta=\frac{1}{2}[/tex]

Therefore, the value of cos θ is [tex]\frac{1}{2}[/tex].

The perimeter of a rectangle is 42 cm. The longer side has length of 7 cm more than the shorter side. Find the length of longer side

Answers

To find perimeter, we use this equation.
2L+2W=42
Let's say the longer side is the length.
L=W+7
Let's plug that in for L.
2(w+7)+2w=42
2w+14+2w=42
Add like terms.
4w+14=42
Subtract 14 from both sides.
4w=28
Divide.
28÷4=7=W
The shorter side is 7, which means the longer side is 14 cm.

192 beads to make a necklace and bracelet. 5 times as many beads to make a necklace than a bracelet. How many beads are used to make a the necklace?

Answers

It will take 160 beads to make a necklace. The bracelet will take 32 beads to make because the necklace takes 5x times as many beads as the bracelet does.

solve each inequality. Justify each step (y-) - 4 + 2y > 11

Answers

It would stop at 3y+4>11 because the 3y and 4 are unlike terms and can only be divided or multiplied.

write three different equivalent expressions for the following expression:

16x^8

Answers

Three different equivalent expressions for 16x^8 are [tex]\[ 16x^8 = 2^4 \cdot x^8 = (2 \cdot x)^4 \cdot x^4 = (2x)^4 \cdot x^4 \][/tex], [tex]\[ 16x^8 = 2^4 \cdot x^8 = (2x)^4 \][/tex], [tex]\[ 16x^8 = 2^4 \cdot x^8 = (2x)^4 \cdot x^4 = 2^{4 + 4} \cdot x^{4 + 4} = 2^8 \cdot x^8 \][/tex].

Expressing [tex]\(16x^8\)[/tex] in three different equivalent forms:

1. Expanded Form:

[tex]\[ 16x^8 = 2^4 \cdot x^8 = (2 \cdot x)^4 \cdot x^4 = (2x)^4 \cdot x^4 \][/tex]

2. Factored Form:

[tex]\[ 16x^8 = 2^4 \cdot x^8 = (2x)^4 \][/tex]

3. Exponential Form with a Common Base:

[tex]\[ 16x^8 = 2^4 \cdot x^8 = (2x)^4 \cdot x^4 = 2^{4 + 4} \cdot x^{4 + 4} = 2^8 \cdot x^8 \][/tex]

These expressions show the flexibility in representing the original expression using different algebraic manipulations. The key is to recognize patterns, use properties of exponents, and factor out common terms.

The Mississippi River is about 4,000 kilometers long. An M&M is about 1 centimeter long. There are 100 centimeters in a meter, and 1,000 meters in a kilometer. Estimate how many M&Ms it would take to measure the length of the Mississippi River

Answers

To be able to determine the number of M&Ms that are needed in order to measure the length of Mississippi River, we convert the units to a common one. For this purpose, we convert kilometers to centimeter such that,
 
Length of Mississippi River = (4000 km)(1000 m/1 km)(100 cm/1 m)
                       = 400,000,000 cm

Since there are 400,000,000 cm in the entire length of the river, the answer would also be 400,000,000. 

To measure the approximately 4,000 km long Mississippi River with M&Ms, we will need about 400,000,000 M&Ms, as there are 100 cm in a meter and 1,000 m in a km.

The question involves estimating the length of the Mississippi River using the size of M&Ms as a unit of measurement. Since the river is about 4,000 kilometers long and the standard unit of length in the SI system is the meter, we need to convert kilometers to centimeters to match the size of an M&M, which is about 1 centimeter long. There are 100 centimeters in a meter, and 1,000 meters in a kilometer. Therefore, we have:

Convert kilometers to meters: 4,000 km x 1,000 m/km = 4,000,000 m.Convert meters to centimeters: 4,000,000 m x 100 cm/m = 400,000,000 cm.

Now, since each M&M is 1 centimeter, the number of M&Ms needed to measure the length of the Mississippi River is equal to the total number of centimeters:

400,000,000 M&Ms would be required to measure the approximate length of the Mississippi River.

What happens to the arrangement of water molecules as ice melts?
A. Molecules gain enough energy to escape as vapor.
B. Molecules release enough energy to escape as vapor.
C. Molecules release enough energy to move from their fixed positions.
D. Molecules gain enough energy to move from their fixed positions.

Answers

D. Molecules gain energy in the endothermic process of melting. The phase change from solid to liquid consumes energy, cooling the atmosphere around it in excess of the cooling that occurs as ice warms. This also causes the ice to maintain a temperature at or very near 32 degrees Fahrenheit (0 degrees Celsius) as it melts.

Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium must hold 256 ft^3 of water. What dimensions should they use to create an acceptable aquarium with the least amount of glass?

Answers

This is a calculus problem (in optimization).  Let the aquarium dimensions be L, W and H.  Then L*W*H = 256 ft^3.  But W=L here, so   W^2*H = 256 ft^3.

Write an expression for the area of the aquarium's glass sides and bottom.

                                                       256 ft^3                             256 ft^3
A= W^2 + 4(W*H) = W^2 + 4*W*(------------- ) = W^2 + 4*-------------------
                                                          W^2                                      W

So now we have A(W), the area as a function of W alone.

We want to minimize this area.  To do this, differentiate A(W) with respect to W and set the result = to 0.  We want to determine the "critical numbers."

dA/dW = 2W - 1024*W^(-2) = 0
                        1024
Then 2W = ---------------
                       W^2

2W^3 = 1024, so W^3 = 512, and  W = third root of 512 = 8

If W = 8 ft, then L = 8 ft also.     Since  L*W*H = 256 ft^3,

L*W*H = 256 ft^3   = (8 ft)^2*H = 256 ft^3.  Then H = 4

The acquarium dimensions are 8 by 8 by 4 feet.  This keeps the area of the aquarium to a minimum.

To solve the problem we must know about the volume and the surface area of cuboids.

The length of the aquarium is 4, and the width of the aquarium is 8.

Given to us

The aquarium must hold 256 ft^3 of water.

We know that the base of the aquarium should be a square, therefore, the length and the breadth of the aquarium will be the same.

Volume of the Aquarium

Length x breadth x height = 256 ft³

Length x Length x height = 256 ft³

Length ² x height = 256 ft³

[tex]L^2\times H = 256\\\\H = \dfrac{256}{L^2}[/tex]

Surface Area of the Aquarium

Surface Area of the Aquarium

= Area of the base + (4 x Area of the 4 sides)

[tex]= L^2 + 4(L\times H)[/tex]

Substituting the value of H,

[tex]= L^2 + 4L(\dfrac{256}{L^2})[/tex]

Length of the Aquarium

Let the surface area be a function of L, therefore,

[tex]f(L) = L^2 + 4L(\dfrac{256}{L^2})[/tex]

Differentiating the function to get the minimum,

[tex]f(L) = L^2 + 4L(\dfrac{256}{L^2})\\\\f(L) = L^2 + (\dfrac{1024}{L})\\\\f'(L) = 2L - (\dfrac{1024}{L^2})[/tex]

Equating against zero,

[tex]2L - (\dfrac{1024}{L^2}) = 0\\\\\dfrac{2L^3-1024}{L^2} = 0\\\\2L^3-1024 = 0\\\\L = 8[/tex]

Substituting the value of L,

[tex]H = \dfrac{256}{L^2}\\\\H = \dfrac{256}{8^2}\\\\H = 4[/tex]

But this way the area will be more, therefore, replace the value of L with 8,

L = 4

H = 8

Hence, the length of the aquarium is 4, and the width of the aquarium is 8.

Learn more about Volume of the cuboid:

https://brainly.com/question/46030

For a normal distribution, the proportion in the tail beyond z = 0.30 is p = 0.1179.
a. True
b. False

Answers

they tricked me into signing into this site to get the answer, oonly to find out they didnt have it answered, click b8

Using the normal distribution, it is found that the statement is False, thus the correct option is b.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The area on the tail beyond z is the proportion that is above z, that is, 1 subtracted by the p-value of z.

For this problem, z = 0.3 has a p-value of 0.6554.

1 - 0.6554 = 0.3446

The proportion in the tail beyond z = 0.30 is p = 0.3446, thus, the statement is False.

A similar problem is given at https://brainly.com/question/12518252

The length of a rectangle is one unit shorter than one-sixth of the width, x. Which expression represents the perimeter of the rectangle? 7/3x−2 1/3x−4 1/3x−2 ​ 7/3x−8

Answers

Width: x
Length: 1/6x-1
Perimeter
=x+x+1/6x+1/6x-1-1
=14/6x-2
=7/3x-2

Answer: [tex]\dfrac{7}{3}x-2[/tex]

Step-by-step explanation:

Let x be the width of the rectangle , then the length of the rectangle will be :_

Length = [tex]\dfrac{1}{6}x-1[/tex]

We know that the perimeter of a rectangle is given by :-

[tex]P=2(l+w)[/tex]

Substitute the value of length and width we get,

[tex]P=2(\dfrac{1}{6}x-1+x)[/tex]

Combine like terms, we get

[tex]P=2(\dfrac{1+6}{6}x-1)\\\\\Rightarrow\ P=2(\dfrac{7}{6}x-1)\\\\\Rightarrow\ P=2\times\dfrac{7}{6}x-2\times1\\\\\Rightarrow\ P=\dfrac{7}{3}x-2[/tex]

Hence, the expression represents the perimeter of the rectangle : [tex]\dfrac{7}{3}x-2[/tex]

Find the equation of the ellipse with the following properties. The ellipse with x-intercepts (2, 0) and (-2, 0); y-intercepts (0, 4) and (0, -4).

Answers

check the picture below.

[tex]\bf \textit{ellipse, vertical major axis}\\\\ \cfrac{(x-{{ h}})^2}{{{ b}}^2}+\cfrac{(y-{{ k}})^2}{{{ a}}^2}=1 \qquad \begin{cases} center\ ({{ h}},{{ k}})\\ ------\\ h=0\\ k=0 \end{cases} \\\\\\ \cfrac{(x-0)^2}{2^2}+\cfrac{(y-0)^2}{4^2}=1\implies \cfrac{x^2}{4}+\cfrac{y^2}{16}=1[/tex]

The temperature, t, in Burrtown starts at 32°F at midnight, when h = 0. For the next few hours, the temperature drops 2 degrees every hour.Which equation represents the temperature, t, at hour h?

Answers

Answer: We find the equation that represents the temperature (t) at hour (t) using the slope-intercept form and it is:

t = -2 h + 32


Solution:

The temperature, t, in Burrtown starts at 32°F at midnight, when h = 0. This represents the y-interception of the right line, when h=0 hours, t=32 °F:

Point=(h,t)→Point=(0,32)=(0,b)→b=32

For the next few hours, the temperature drops 2 degrees every hour. This represents the slope of the line (m): m=-2, negative because the temperature drops.

Slope-Intercept form:

y=mx+b; y=t, m=-2, x=h, b=32

Replacing the values:

t=-2h+32


Answer:

t=-2h+32

Step-by-step explanation:

A bicycle went 120 miles in 5 hours. A motorcycle is three times as fast as the bicycle. Find the speed of motorcycle.

Answers

If the bicycle went 120 miles in 5 hours, and the motorcycle was three times as fast as the bicycle, then the motorcycle went 480 miles in 5 hours.

Answer:

Step-by-step explanation:

120 x 5 = 600

The motorcycle is 3 times as fast.

600 x 3 = 1800

Which expression shows the result of applying the distributive property to 3(2x−6) ?

A. 2x−18
B. 6x−18
C. 6x−6
D. 5x−3

Answers

Your answer would be B. You have to multiply the 3 and 2 which is 6 then put the x so 6x. then your multiply 3 and 6 and get 18 so it would be 6x-18.

Answer:

b

Step-by-step explanation:

What expression is equivalent to x^2+2x-24/3x+18

Answers

The equivalent expression to [tex]x^2 + 2x - 24 / (3x + 18([/tex] is (x - 4) / 3, after factoring and simplifying the common terms.

The question is asking for an expression equivalent to [tex]x^2 + 2x - 24 / (3x + 18[/tex].

This expression can be factored and simplified.

First, notice that the quadratic expression in the numerator can be factored into (x + 6)(x - 4).

Similarly, the denominator can be factored as 3(x + 6). After factoring, we have:

= (x + 6)(x - 4) / 3(x + 6)

We can now simplify the expression by canceling out the common factor of (x + 6):

= (x + 6)(x - 4) / 3(x + 6) = (x - 4) / 3

So the equivalent expression is (x - 4) / 3.

calculate the cost of fuel. 40 L at 65.7cents/L

Answers

26 dollars and 28 cents

$26.28 
Multiply 65.7 × 40 = 2,628 
Then add the decimal between 26 and 28

A recipe makes 6 2/3 cups the serving size is 5/6 cup how many servings does the recipe make

Answers

ithe recipe makes precicely 8 servings,i hope this helps

The recipe can make serving 8 cups.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, given that,

A recipe makes 6 2/3 cups

                         =20/3 cups

And, the serving size is 5/6 cup

So, the recipe can make serving = 20/3÷ 5/6 cups

                                                      =20/3 × 6/5 cups

                                                      =8 cups

Hence, the recipe can make serving 8 cups.

To learn more on multiplication click:

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The table shows the amount that each person spend on snacks, games, and souvenirs the las time they went to the carnival.

Sinea- snacks $5/ games $8/ souvenirs $12

Ren- snacks $10/ games $8/ souvenirs $20


Suppose Sinea and Ren each spend $40 on snacks, and each person spends money using the same ratios as on their last trip. Who spends more on souvenirs? Explain

Answers

Sinea:

Last trip: snacks $5/ games $8/ souvenirs $12

If she spends $ 40 on snacks =>

40/5 = 8

=> multiply the three number times 8 =>

5*8 / 8*8 / 12*8 = 40 / 64 / 96 and that adds up: 40 + 64 + 96 = 164

Ren

Last trip: snacks $10/ games $8/ souvenirs $20

If he spends $ 40 on snacks => 40 / 10 = 4

=> 10*4 / 8*4 / 20*4 = 40 / 32 / 80.

That adds up 40 + 32 + 80 = 152

So, Sinea spends more than Ren: 164 vs 152


the slope of the line that passes through the points (-6,w) and (-10,4) is 1/8. what is the value of w

Answers

Use the point-slope formula for the eqn of a str line:

y-k = m(x-h), where (h,k) is any point on the line.

Suppose we first focus on the given point (-10,4).  Let (h,k) = (-10,4).

Then  y-k = m(x-h) becomes    y-4 = m(x-[-10])

The other point is (-6,w), where w is the unknown we must determine.

w-4 = (1/8)(-6+10).  Find w:
 
Mult both sides by 8 to remove the fraction 1/8:

8w-32 = -6 + 10 = 4.  Then 8w = 32+4 = 36.  w = 36/8 = 4.5, or 9/2 (ans.)

 

The value of 'w' using the given slope is [tex]\frac{9}{2}[/tex]

Given :

the slope of the line that passes through the points (-6,w) and (-10,4) is 1/8

apply slope formula

[tex]slope =\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values given in the points and make it equal to 1/8

[tex]slope =\frac{4-w}{-10+6}=\frac{1}{8} \\\frac{4-w}{-4}=\frac{1}{8}\\(4-w)(8)=-4(1)\\32-8w=-4\\-8w=-4-32\\-8=-36[/tex]

Divide both sides by -8

[tex]w=\frac{-36}{-8} =\frac{9}{2}[/tex]

The value of 'w' is [tex]\frac{9}{2}[/tex]

Learn more : brainly.com/question/19616909

What is the mean of the following set of numbers?

{-7, 23, -5, 4}

A. 3.75

B. 9.75

C. -9.75

D. -3.75

Answers

the mean is the average

-7+23 -5 +4 = 15

15 / 4 = 3.75

 Answer is A

Hi there, thanks for asking a question here on Brainly!

To calculate the mean, we add all the numbers together and divide the answer by how many numbers there are. 

Step 1: Add -7 + 23 + (-5) + 4 
✦ = 15
Step 2: Divide 15 by the total amount of numbers. There are four numbers, so divide 15 with four.
= 3.75

Answer: Letter A 

Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or post another question and send the link to me. -UnicornFudge aka Nadia 

Determine the intercepts of the line. 7x-5=4y-6/7x−5=4y−6

Answers

i hope this helps. i didnt get what / meant... did you mean divide?

Answer:

x.(-1/7,0)

y.(0,1/4)

Step-by-step explanation:

An m-bit password is required to access a system. a hacker systematically works through all possible m-bit patterns. let x be the number of patterns tested until the correct password is found. find the conditional pmf of x given that the password has not been found after k tries

Answers

Final answer:

The conditional pmf of x, the number of patterns tested until the correct m-bit password is found, given that the password has not been found after k tries, is uniformly distributed with 1/(2^m - k) for x = k+1, k+2, ..., 2^m.

Explanation:

The question deals with the topic of probability and specifically centers around the concept of a conditional probability mass function (pmf). Given that an m-bit password is systematically being guessed by a hacker and has not been found after k attempts, we need to find the conditional pmf of x, where x is the number of patterns tested until the password is found.

Since the password has not been guessed within the first k tries, the conditional probability is based on the remaining 2m - k possibilities. The distribution of x will be uniform because each subsequent attempt has an equal probability of being correct. The conditional pmf of x given that the password was not found after k tries is 1/(2m - k) for x = k+1, k+2, ..., 2m.

solve for x:

4/x-3 + 2/x^2-9 = 1/x+3

a. -17/3

b.13/3

c.19/3

d.-5

Answers

[tex]\dfrac4{x-3}+\dfrac2{x^2-9}=\dfrac1{x+3}[/tex]

[tex]\dfrac{4(x+3)}{(x+3)(x-3)}+\dfrac2{x^2-9}=\dfrac{x-3}{(x+3)(x-3)}[/tex]

[tex]\dfrac{4x+12}{x^2-9}+\dfrac2{x^2-9}=\dfrac{x-3}{x^2-9}[/tex]

[tex]\dfrac{4x+12+2-(x-3)}{x^2-9}=0[/tex]

[tex]\dfrac{3x+17}{x^2-9}=0[/tex]

[tex]3x+17=0\implies x=-\dfrac{17}3[/tex]

He for got his pin code. 20% of his pin code was 246.8. What was his pin code?

Answers

So if 20% of his pin code was 246.8, then we want to know 5 times that since 20% * 5 = 100%.

So 246.8 * 5 = 1234

So his pin was 1234.

An athletic director pays $90 for 12 sun visors for the softball team. a. How much will the athletic director pay to buy 15 more sun visors?

Answers

Get the unit rate.

90 / 12 = 7

$7.50 for a sun visor.

15 * 7.5 = 112.5

The athletic director needs to pay $112.5 to buy 15 more sun visors.

HELP!!! A pentagonal pyramid is sliced parallel to its base. what shape does it make?

Answers

pentagonal
same as the base

The cross section formed would also turn out to be a pentagon. 

Good luck! =D
Other Questions
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