is 30 x 10 to the 3rd power equal 30000

Answers

Answer 1

yes, it is. hope i was helpful!

Answer 2

Yes,[tex]$30 \times 10^3$[/tex] is equal to 30,000.

When we have a number written in scientific notation, such as [tex]$10^3$,[/tex] it means we are multiplying the base (which is 10 in this case) by itself a certain number of times, indicated by the exponent (which is 3 in this case).

So, [tex]$10^3$[/tex] means [tex]$10 \times 10 \times 10$[/tex], which equals 1,000.

Therefore, when we multiply 30 by [tex]$10^3$[/tex], it's equivalent to multiplying 30 by 1,000, which results in 30,000.

Related Questions

Suppose that factory a produces 12 tables and 6 chairs an hour while factory b produces 8 tables and 4 chairs and hour. how many hours should each factory work to produce 48 tables and 24 chairs? how many different solutions are there to this problem?

Answers

Factory A should work for 4 hours, while factory B should work for 6 hours to produce 48 tables and 24 chairs

The rates of both factories are given as:

Factory A = 12 tables and 6 chairs in an hour

Factory B = 8 tables and 4 chairs in an hour

To produce 48 tables and 24 chairs, we make use of the following equation

[tex]h = \frac{Produce}{Rate}[/tex]

Where h represents time (in hours)

So, we have:

Factory A

[tex]h = \frac{48\ tables, 24\ chairs}{12\ tables, 6\ chairs}[/tex]

[tex]h = 4[/tex]

Factory A

[tex]h = \frac{48\ tables, 24\ chairs}{8\ tables, 4\ chairs}[/tex]

[tex]h = 6[/tex]

Hence, factory A should work for 4 hours, while factory B should work for 6 hours to produce 48 tables and 24 chairs

Answers

Final answer:

To find the volume of the solid with a triangular base and equilateral triangular cross-sections, we integrate the area of the cross-sections along the y-axis from 0 to 5 based on the changing side length, which is a linear function of y.

Explanation:

The problem requires finding the volume of a solid with a triangular base and equilateral triangular cross-sections perpendicular to the y-axis. The base of the solid, S, is a right triangle with vertices at (0, 0), (5, 0), and (0, 5). The height of each equilateral triangular cross-section at any point y is the distance from the point (y, 0) to the hypotenuse of the triangular base, which is linear and can be described by the equation x + y = 5. Because cross-sections are equilateral triangles, each side of a cross-section is twice the length of the height. Therefore, the area of a cross-section is ½∙height²∙√3.

As we move along the y-axis from 0 to 5, the length of a side of each cross-section decreases linearly from 5 to 0. We can integrate the area of these cross-sections from y = 0 to y = 5 to find the total volume of the solid. The integral for the calculation of volume is:

∫ (2∙(5-y))² × √3/4 dy from y=0 to y=5

Upon integrating, this gives us the volume of the solid S.

Draw cubes to show the number. Write the number different ways. Love has seven ones Nick has 5 ones they put all their once together what number did they make

Answers

5 to 10 cubes or inches

7/8m +9/10-2m-3/5 how to do this question

Answers

Step by step solution :Step 1 : 3 Simplify — 5 Equation at the end of step 1 : 7 9 3 (((—•m)+——)-2m)-— 8 10 5 Step 2 : 9 Simplify —— 10 Equation at the end of step 2 : 7 9 3 (((— • m) + ——) - 2m) - — 8 10 5 Step 3 : 7 Simplify — 8 Equation at the end of step 3 : 7 9 3 (((— • m) + ——) - 2m) - — 8 10 5 Step 4 :Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple

      The left denominator is :       8

      The right denominator is :       10

        Number of times each prime factor
        appears in the factorization of: Prime
Factor  Left
Denominator  Right
Denominator  L.C.M = Max
{Left,Right} 23135011 Product of all
Prime Factors 81040

Least Common Multiple:
40

Calculating Multipliers :

4.2    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by  L.C.M
    Denote the Left Multiplier by  Left_M
    Denote the Right Multiplier by  Right_M
    Denote the Left Deniminator by  L_Deno
    Denote the Right Multiplier by  R_Deno

   Left_M = L.C.M / L_Deno = 5

   Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions :

4.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 7m • 5 —————————————————— = —————— L.C.M 40 R. Mult. • R. Num. 9 • 4 —————————————————— = ————— L.C.M 40 Adding fractions that have a common denominator :

4.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7m • 5 + 9 • 4 35m + 36 —————————————— = ———————— 40 40 Equation at the end of step 4 : (35m + 36) 3 (—————————— - 2m) - — 40 5 Step 5 :Rewriting the whole as an Equivalent Fraction :

5.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 40 as the denominator :

2m 2m • 40 2m = —— = ——————— 1 40

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

(35m+36) - (2m • 40) 36 - 45m ———————————————————— = ———————— 40 40 Equation at the end of step 5 : (36 - 45m) 3 —————————— - — 40 5 Step 6 :Step 7 :Pulling out like terms :

7.1 Pull out like factors :

36 - 45m = -9 • (5m - 4)

Calculating the Least Common Multiple :

7.2    Find the Least Common Multiple

      The left denominator is :       40

      The right denominator is :       5

        Number of times each prime factor
        appears in the factorization of: Prime
Factor  Left
Denominator  Right
Denominator  L.C.M = Max
{Left,Right} 23035111 Product of all
Prime Factors 40540

Least Common Multiple:
40

Calculating Multipliers :

7.3    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by  L.C.M
    Denote the Left Multiplier by  Left_M
    Denote the Right Multiplier by  Right_M
    Denote the Left Deniminator by  L_Deno
    Denote the Right Multiplier by  R_Deno

   Left_M = L.C.M / L_Deno = 1

   Right_M = L.C.M / R_Deno = 8

Making Equivalent Fractions :

7.4 Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num. -9 • (5m-4) —————————————————— = ——————————— L.C.M 40 R. Mult. • R. Num. 3 • 8 —————————————————— = ————— L.C.M 40 Adding fractions that have a common denominator :

7.5 Adding up the two equivalent fractions

-9 • (5m-4) - (3 • 8) 12 - 45m ————————————————————— = ———————— 40 40 Step 8 :Pulling out like terms :

8.1 Pull out like factors :

12 - 45m = -3 • (15m - 4)

Final result : -3 • (15m - 4) —————————————— 40

A right triangle has sides 5.0 m, 12 m, and 13 m. the smallest angle of this triangle is nearest:

Answers

30+35 = 65
180 - 65 = 115 degreesA triangle has angle measurements of 30 and 35. What is the measure of the third angle?180 degreesWhat do the angles of a triangle add up to?s=4How many sides are there in a shape whose interior angles have a sum of 720 degrees?40 + 50 = 90
180 - 90 = 90 degreesA triangle has angle measurements of 40 and 50. What is the measure of the third angle?45 + 45 = 90
180 - 90 = 90 degreesA triangle has two angles that measure 45 degrees. What is the measure of the third angle?90 + 63 - 153
180 - 153 = 27 degreesA right triangle has one angle that measures 63 degrees. What is the measure of the third angle?105 degreesIf the measure of angle 1 is 150, and the measure of angle 4 is 45, what is the measure of angle 3?75 degreesIf the measure of angle 3 is 145, and the measure of angle 2 is 70 what is the measure of angle 1?42 degreesIf a triangle has a right angle and an angle that measures 48 degrees, what is the measurement of the third interior angle?60 degreesIf a triangle has 3 equal interior angles, what is the measurement of 1 of the angles?TriangleHas 3 angles, 3 sides and is a closed 2-D figure14If a Triangle has angles that measure (3x+2) (8x+4) (x+6) , what is the value of x?1080 degreesWhat is the sum of the interior angles of a dodecagon (12 sides)?162 degreesWhat is the measure of one angle in a regular icosagon (20 sides)?360 degreesWhat is the sum of the exterior angles of an octagon?40 degreesWhat is the measure of one exterior angle of a regular nonagon?20, 60, 100The measures of the angles of a triangle are in the ratio 1:3:5. What is the measure of each angle?36, 54, 90The measures of the angles of a triangle are in the ratio 2:3:5. What is the measure of each angle?45, 60, 75The measures of the angles of a triangle are in the ratio 3:4:5. What is the measure of each angle?

Final answer:

To find the smallest angle in a right triangle with side lengths of 5.0 m, 12 m, and 13 m, we use the inverse tangent function with the shortest leg over the adjacent leg, yielding an angle of approximately 22.6 degrees.

Explanation:

The subject of the question is mathematics, and it pertains to high school level geometry. The question is asking to determine the smallest angle in a right triangle with sides measuring 5.0 m, 12 m, and 13 m. To find the smallest angle, we can use trigonometry, specifically the inverse tangent function.

Step-by-Step Explanation

Identify the sides of the triangle. In this case, we know that the sides are 5.0 m, 12 m (which could be interpreted as legs), and 13 m (the hypotenuse).

Because we are looking for the smallest angle, we will use the smallest leg, which is 5.0 m, and the next largest leg, which is 12 m.

Use the tangent function, which relates the opposite side to the adjacent side in a right triangle. The smallest angle, which we will call θ, will have the opposite side of 5.0 m and an adjacent side of 12 m.

Calculate θ using the inverse tangent function (also known as arctangent). θ = tan-1(5.0/12).

Perform the calculation using a calculator to find the nearest degree. θ = tan-1(5.0/12) ≈ 22.6°.

Therefore, the smallest angle in the triangle is approximately 22.6 degrees.

540 less than the product of 54 and a number is 918

Answers

First, you get you equation, which is 54x-540=918. Then you solve your equation. First, add 540 to both sides, get 54x=1,458. Then divide both sides by 54, and get x=27

54x - 540 = 918
+540 +540
54x = 1458
/54 /54
x = 27

Reteach to build to understand 10-4

Answers

The answer is going to be 40 because instead of the one just put 4

the answer is 40...

i hope this helps!! have a great day :))

Find the dimensions of a rectangle with perimeter 100m area of 336

Answers

Start by writing out the formulas for perimeter and area:
P=2L+2W A=L*W

We know that A = L*W = 336 sq meters and that P=2L + 2W = 100m.

Let's solve the first equation for L: L = 336/W

Subst. this into the formula for perimeter: 2[336/W] + 2W = 100 m (given)

Now all you have to do is to solve this for W:

336/W + W = 50 becomes 336 + W^2 = 50W.

Then W^2 - 50W + 336 = 0. Using the quadratic formula, I found that
50 plus or minus sqrt (1156) 50 plus or minus 34
W = ---------------------------------------- = -------------------------------
2 2

W has to be positive. Thus, choose W = (50+34) / 2 = 42

Then L = 336 / W, or 336 / 42, or 8.

The dimensions of this rectangle are 8 by 42.

You should check these results. Does P = 2(8) + 2(42) = 100 ?

Write a situation in which positive and negative numbers are used to describe values that have the opposite meaning.

Answers

The measurement of temperature where for example -2 degrees means 2 degrees below freezing and 2 degrees means 2 degrees above freezing.

Grammy's apple orchard is selling apple cider in 34.7-ounce bottles for $2.09. Grammy's competitor is selling 24.6- ounce bottles of cider for $1.99. What is Grammy's competitor's price per ounce for cider?

Answers

Sent a picture of the solution to the problem (s).

Please help and explain how you got it

Answers

check the picture below.

notice, the figure is just, a triangle with a base of 3 and an altitude of 4, a rectangle of 4x7, and a semi-circle with a diameter of 4.

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\qquad \begin{cases} d=diameter\\ r=radius=\frac{d}{2}\\ -------\\ d=4\\ r=2 \end{cases}\implies \begin{array}{llll} A=\pi 2^2\implies A=4\pi\\\\ \textit{area of half that circle}\\\\ A_h=\cfrac{4\pi }{2}\implies A_h=2\pi \end{array} \\\\ -----------------------------\\\\ \stackrel{\textit{area of triangle}}{\frac{1}{2}\cdot 3\cdot 4}+\stackrel{\textit{area of the rectangle}}{4\cdot 7}+\stackrel{\textit{area of the semi-circle}}{2\pi } \\\\\\ 6~~+~~28~~+~~2\pi[/tex]

A 12 lb shankless ham contains 16 servings. What is the rate in servings per pound?

Answers

There are four-thirds servings per pound

the rate per pounds is 1.3. all you have to do is take the number of servings and divide it by the pounds and you get the answer 1.3 for you question.

The volume of a box of soup broth is 972 cubic centimeters. The box is 20 centimeters high and 10.8 centimeters long. How wide is the box?

Answers

v=l*w*h
972=20*10.8*w
972=216w
w=4.5

The width of the rectangular prism will be 4.5 centimeters.

What is the volume of the rectangular prism?

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The volume of a box of soup broth is 972 cubic centimeters. The box is 20 centimeters high and 10.8 centimeters long.

Then the width of the rectangular prism is calculated as,

972 = 20 x W x 10.8

Simplify the equation, then we have

972 = 20 x W x 10.8

972 = 216W

W = 4.5 centimeters

The width of the rectangular prism will be 4.5 centimeters.

More about the volume of the rectangular prism link is given below.

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In right triangle ABC, AB = 10, AC = 6 and BC = 8 units. What is the distance from C to the midpoint of segment AB?

Answers

using herons formula you find the area
s=24/2=12
[tex] A=\sqrt{s(s-a)(s-b)(s-c)} [/tex]
A=24
and A=0.5 base height
sp
24=0.5 (base=AB=10)(height=c to the midpoint of segment AB)
24=5(height)
[tex] \frac{24}{5} [/tex]=height

midpoint of AB is obviously 5 because its asking for half of the line .
Then layout the triangle as shown in the diagram .
then use Pythagoras theorem which is the hypotenuse squared is equal to the 2 shorter legs squared.
c2=a2+b2
c2=5^2+6^2
c2=25+36
c2=61
c=square root of 61

A recipe for krispy rice treats calls for 6 cups of rice cereal and 40 large marshmallows. You want to make a larger batch of goodies and have 9 cups of rice cereal. How many large marshmallows do you need? However, you only have the miniature marshmallows at your house. You find a list of substitution quantities on the internet that suggests 10 large marshmallows are equivalent to 1 cup miniatures. How many cups of miniatures do you need?

Answers

You need 6 cups of marshmallows.

You would need 6 cups

Benjamin solved the equation 3 + x over 2 = 10 and justified each step as shown.

Identify Benjamin’s error and fix his mistake

Step:
3 + x/2 = 10
X/2 = 7
X= 14

Justification:
Given
Multiplication Property of Equality
Subtraction Property of Equality

Answers

The method of solving this equation looks fine to me and the answer is correct since 3 + x/2=10 is x/2=10-3 and so x/2 =7 and so x = 14 as shown and checking, then subsituting 14 for x then x/2=7 = 10-3 so therefore it is fine the way it is.

Answer:

The equation itself is fine but the justification looks wrong step2 is subtraction property of equality and step3 is Multiplecation property of equaliity

I could be wrong but im 95% sure

Good luck!

What happened to the glass blower who inhaled

Answers

he can now breath fire

Answer: he got pane in his stomach

Step-by-step explanation:

because he ate glass

A store discounts the price of a beanbag chair by 20%. The price of the beanbag chair is marked as $16. What was the original price of the beanbag chair?

Answers

Use this to solve:

4/5 = 16/x

Since these are equivalent fractions;

you can divide 16 by 4

then multiply by 5

that should give you the original price of the bean bag chair!

original price of the beanbag chair was $20 before the 20% discount was applied.

To find the original price of the beanbag chair that has been discounted by 20%, we set up an equation. Let's denote the original price as P. A 20% discount on the original price means the chair is being sold for 80% (100% - 20%) of P. This is represented by the equation 0.80P = $16.

To find P, we simply divide both sides of the equation by 0.80:

P = $16 / 0.80

This gives us:

P = $20

Therefore, the original price of the beanbag chair was $20 before the 20% discount was applied.

F=9/5C+32 What Does C And F represent

Answers

C represents Celsius and F represent Fahrenheit.

Hope this helps!

The is the formula for converting Celsius to Fahrenheit. F stands for Fahrenheit and C stand for Celsius.

Divide then check using multiplcation
1056÷37=

Answers

28 is the answer.I hope this helps

28 is the answer it's rite

One number is twice another number and their sum is 36. which system of equations represents the word problem? 2x y = 36 and x y = 36 x y = 36 and y = 2x y = 2x and 2x y = 36

Answers

Let the numbers be x and y. Write out mathematical equations:

y=2x and x+y=36

You were not asked to solve this problem, but should do so for practice. Subst. 2x for y in the 2nd equation: x + 2x = 36; 3x = 36; x = 12. Find y. Then check your solution.

Let

y------>one number

x------> another number

we know that

[tex]y=2x[/tex] ------> equation A

[tex]x+y=36[/tex] ------> equation B

substitute equation A in equation B

[tex]x+2x=36[/tex]

[tex]3x=36[/tex]

[tex]x=12[/tex]

Find the value of y

[tex]y=2x[/tex]

[tex]y=2*12=24[/tex]

the numbers are [tex]24[/tex] and [tex]12[/tex]

therefore

the answer is

The system of equations are

[tex]x+y=36[/tex] and [tex]y=2x[/tex]

Becky bought 4 pounds of grapes for $8.24.How much did the grapes cost per pound?

Answers

$2.06 per pound. Divide $8.24 by 4.

The grapes cost $2.06 per pound.

Which sentence explains the correct first step in the solution of this equation?

2(x−4)=12

A. Subtract 12 from both sides.
B. Add 4 to both sides.
C. Apply the distributive property to get 2x - 8 = 12
D. Apply the distributive property to get 2x - 4 = 12

Answers

Answer is choice C. We distribute the outer 2 into each of the inner terms (x and -4). Choice D is a trick answer because a lot of the time you might forget to multiply the 2 by the -4 inside the parenthesis (common mistake).

2 times x = 2x
2 times -4 = -8
2 times (x-4) = 2x-8

Side Note: Another path to solve this equation is to divide both sides by 2, then to add 4 to both sides.

Answer: like 5 years late but wtv

Step-by-step explanation:

You are scheduled to receive $16,500 in three years. when you receive it, you will invest it for nine more years at 9.5 percent per year. how much will you have in twelve years?

Answers

I'm am assuming the interest is compounded each year.

amount after 12 years = 16,500( 1 + 0.95)^9 = $37,343.16

Final answer:

The total amount you will have in twelve years is calculated by multiplying your initial amount of $16,500 with (1 + 0.095) raised to the power of 9 (years of investment). This is a demonstration of the future value concept in finance.

Explanation:

This question is about the concept of future value in finance. First, you receive $16,500 after three years. Following this, you invest this amount at an interest rate of 9.5% for nine more years. To calculate the future value of an investment, you can use the formula: Future Value = Present Value * (1 + Interest rate)^numbers of years. In this case, it would be $16,500 * (1 + 0.095)^9. This calculation will give you the total amount you will have in twelve years after the investment.

Learn more about Future Value here:

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A refrigerator has a volume given by the trinomial y^3 + 5y^2 – 14y. What are the possible dimensions of the refrigerator? Use factoring

Answers

y^3 + 5y^2 - 14y

first factor out a "y"

y(y^2 + 5y - 14)

y(y + 7)(y - 2)

The dimensions are then;
y
y + 7
y - 2

Joel has 210 baseball and football cards. He has 50 more baseball cards than football cards. How many of each does he have?
Need to explain this to a 3 rd grade without dividing?

Answers

210 - 105 = 105 so 105 plus 25 because that is half of 50 and the other 105 minus 25 because that is the other half of 50 so he has 130 baseball cards and 80 football cards

hope this helps if so please mark me brainliest!! :)

What is the range of arcsinx

Answers

y= arcsin(x) is equivalent to sin(y) = x

we know that -1≤x+1, hence the range of y is: -π/2≤y≤+π/2

Final answer:

The range of the inverse sine function, or arcsin(x), is the set of angles from -π/2 to π/2 radians, which is the same as -90° to 90° degrees. This defines the possible output values of the function for all real numbers in the interval [-1, 1].

Explanation:

The question "What is the range of arcsinx" concerns itself with the inverse trigonometric function, specifically the inverse of the sine function. The range of a function is the set of all possible output values it can produce. For the inverse sine function, or arcsin(x), the range is the set of angles that can produce all possible sine values, which are within the closed interval [-1, 1].

The sine function itself has a range from -1 to 1, so the arcsine function, being its inverse, takes on values that are angles that correspond to these sine values. In terms of angles, the range of the arcsin function is [-π/2, π/2] or [-90°, 90°] in degrees. This means that for any input value x within [-1, 1], the output of arcsin(x) will always be an angle measured in radians (or degrees) that falls within this range.

Estimate the area of the irregular shape. Explain your method and show your work. Can someone explain this to me?

Answers

It looks like a messed up drawing of a trapezium so imma assume its a trapezium, so
(7+4)*0.5*5= 27.5 units squaree

Answer:

Approximate area: 27.5 square units

Step-by-step explanation:

The irregular shape is very similar to a trapezium with coordinates (-3,3), (2, 2), (2, -2) and (-3, -4).

Area of a trapezium: [(a+ b)/2]*h

where a and b refer to the two parallel sides and h is the distance between them. From the above coordinates: a = 7 length units, b = 4 length units and h = 5 length units. Therefore, approximate area = [(7+ 4)/2]*5 = 27.5 square units

HELP MEEEE!!!!!!!!! I BEG YOU !!!!!!

Answers

I gottcha bruh.
She earns $250 in one week, so we know she has earned that much. If she earns 8% on $1100.00, that means she earns $88. Add this to the $250, and you get $338 ~Have a Great Day!~

what is 5879 rounded to the nearest hundredth

Answers

The answer is 5900 as 879 in 5000 is closer to 900 rather than 800.

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