What is the surface area of a sphere with radius 2

Answer:The cube root of a negative number is a complex number because there is no real number that, when cubed, gives a negative result.

To find the cube root of -1, we can express it in exponential form as -1 = 1 * e^(iπ), where i is the imaginary unit and π is pi.

The cube root of -1 can be calculated by applying De Moivre's theorem, which states that (r * e^(iθ))^(1/n) = r^(1/n) * e^(iθ/n), where r is the magnitude and θ is the argument of the complex number.

For n = 3, the cube root of -1 becomes:

(-1)^(1/3) = (1 * e^(iπ))^(1/3) = 1^(1/3) * e^(iπ/3) = e^(iπ/3).

Therefore, the cube root of -1 is e^(iπ/3), which can also be expressed as cos(π/3) + i * sin(π/3).

In trigonometric form, the cube root of -1 is (√3/2) + i * (1/2).

To find out what percentage of the daily allowance of total fat Bud had when he ate the cheeseburger, we first need to calculate how many grams of total fat he consumed, and then divide that by the recommended daily allowance, and finally multiply by 100 to get the percentage.

Bud ate a cheeseburger containing 30 grams of total fat. The recommended daily allowance of total fat for a 2,000 calorie diet is 64 grams. Therefore, we can calculate the percentage of the daily allowance that Bud had by dividing the amount of fat he consumed by the recommended daily allowance and then multiplying by 100:

Percentage of daily allowance = (30 / 64) x 100 = 46.875%

So, Bud had 46.875% of the recommended daily allowance of total fat when he ate the cheeseburger.

Answer:

46.875 %

Step-by-step explanation:

30 grams of fat out of 64 grams

30/64 =.46875

Change to percent form

46.875 %

Step 1: To solve this inequality, we first need to combine all the terms on the same side of the equation.

Step 2: To do this, we can subtract 60 from both sides of the equation:

3c – 60 ≥ 150

3c – 60 - 60 ≥ 150 - 60

3c ≥ 210

Step 3: Now we can divide both sides of the equation by 3:

3c ≥ 210

c ≥ 70

Answer: Mary needs to sell at least 70 cupcakes in order to satisfy the inequality.

Answer:

Step-by-step explanation:

To solve the inequality 3c - 60 ≥ 150, you can follow these steps:

Add 60 to both sides of the inequality:

3c - 60 + 60 ≥ 150 + 60

This simplifies to:

3c ≥ 210

Divide both sides of the inequality by 3:

(3c)/3 ≥ 210/3

This simplifies to:

c ≥ 70

Therefore, Mary must sell at least 70 cupcakes to satisfy the inequality and cover her expenses.

Answer:

y = 15

Step-by-step explanation:

We need to solve for k

y = x

21 = 7k  Divide both sides by 7 to solve for k

3 = k

y = xk

y = 5(3)

y = 15

Answer: y = 15

Step-by-step explanation:  

Answer:

25

Step-by-step explanation:

4a +12 -2c + c

4( ) + 12 - 2( ) + ( )

4(4) + 12 - 2(3) + 3

16 + 12 - 6 + 3

28 - 6 + 3

22 + 3

25

Helping in the name of Jesus.

Therefore,  4a  +   12   -   2c   +   c  =   25

       a  =   4  

       c  =   3

        4a  +   12   -   2c   +   c

       (4)(4)  +  12  -     (2)(3)   +    3

         16     +   12   -   (2)(3)   +    3

         28      -            (2)(3)    +    3

         28     -   6     +     3

         22    +      3   =   25

Draw a conclusion:

     4a  +   12   -   2c   +   c   =  25

I hope this helps!

Answer:

Step-by-step explanation:

Let’s mark the Triangle Points as Point A, Point B, Point C.

Point A = 1x°

Point B = 2x°

Point C = 3x°

We know that the Angle Sum of a Triangle is equal to 180°.

So, Point A + Point B +Point C = 180°

   = 1x° + 2x° + 3x° = 180°

   = (1 + 2 + 3)x° = 180°

   = 6x° = 180°

   = x° = (180/6)°

   = x° = 30°

|  —                                 —  |

|   Point A = 1 * 30° = 30°    |         ⇒

|   Point B = 2 * 30° = 60°   |         ⇒          Only Extra Information

|    Point C = 3 * 30° = 90°  |         ⇒

|  —                                 —  |

Learn more about Finding Angles here

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Hope my answer helps you ✌️

Mark BRAINLIEST

Answer:

BC14.5 AC 11.3

Step-by-step explanation:

Answer:

0.0121

Step-by-step explanation:

0.11 to the second power = 0.0121

Answer: 0.0121

Step-by-step explanation:

common sense

Answer:

r = 1

Step-by-step explanation:

The equation is,

→ 6r - 1 + 6r = 11

Now the value of r will be,

→ 6r - 1 + 6r = 11

→ 12r = 11 + 1

→ r = 12/12

→ [ r = 1 ]

Hence, the value of r is 1.

Answer:

The answer is 1 r is equal to 1

Step-by-step explanation:

Answer:

The answer to your question is 3.5 m

Step-by-step explanation:

1 m= 100 cms

so 350 cms  = 3.5 m

I hope this helps and have a good day!

Answer: (-7,5) and (-3,5) :) there for answer is A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

5555.555550006874

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

An atom is the smallest particle of matter holding the basic properties and characterstic of the matter. An atom consist of positive charged protons and chargeless neutrons at its centre and the negatively charged electrons are revolving around the nucleus. An atom do consist of energy levels corresponding to which the electrons revolve around the nuclues in the respective energy level.

Now a photon is an energy packet, or we can say a particle of light carring energy with it.

An atom is a particle of a matter and a photon is a particle of light.

Answer:

  $17.50

Step-by-step explanation:

You have a table with a proportional relationship between weight and price, and the pair (weight, price) = (2 lb, $7.00) given. You want to know the price for a weight of 5 lb.

A proportion that can be used to find the missing price is ...

  price/weight = x/(5 lb) = ($7.00)/(2 lb)

Multiplying by 5 lb gives ...

  x = $7.00 × (5 lb)/(2 lb) = $17.50

The price for 5 lb is $17.50.

Answer:$17.50

Step-by-step explanation:i uesd the calulater u wont read this anyway

Answer: \(61.44cm^{2} - 35.52cm^{2} = 25.92cm^{2}.\)

Step-by-step explanation:

Answer:

Hii I know you needed this yesterday

Answer:

13

Step-by-step explanation:

14-15=1

but if you average it out that is the volume

Answer:

101.25 km

Step-by-step explanation:

To solve, we need to first find how much she drives in one minute and then multiply that by the number of minutes she drives.

1.5 km = 2 minutes

divide both sides by 2.

1 minute = 0.75 km

2.25 hours = 2.25 * 60 =  135 minutes

Multiply the speed by the time to find distance.

135 * 0.75 = 101.25 km

Thus, she covered 101.25 km in 2 1/4 hours.

Answer:

65 years old.

Step-by-step explanation:

Define the variables:

Given:

Create two equations with the given information and defined variables:

\(\begin{cases}y = 13x\\y + 1 = 11(x + 1)\end{cases}\)

Substitute the first equation into the second equation and solve for x:

\(\implies 13x+1=11(x+1)\)

\(\implies 13x+1=11x+11\)

\(\implies 2x=10\)

\(\implies x=5\)

Substitute the found value of x into the first equation and solve for y:

\(\implies y=13(5)\)

\(\implies y=65\)

Therefore, the age of the grandparent now is 65 years.

Given statements:

Let us represent the character's age by variables. Assuming that the grandparent's age is G and the granddaughter's age is D. Now, using the obtained variables and the statements, create two equations that represents the provided statements. Then, we can compare the equations and simplify if needed to determine the value of the variables.

    \(\implies \left[\begin{array}{ccc} \text{G = 13D} \\ \text{G + 1 = 11(D + 1)}\\\end{array}\right]\)

Since G = 13D is in the form of direct variation, we can substitute the value of G into the second equation to determine the value of D (the age of the granddaughter). Then, we can substitute the value of D into any of the two equations to determine the age of the grandparent.

To solve for D, simplify both sides of the equation by using the distributive property. We need to simplify both sides of the equation so that we can isolate the variables on the other side of the equation.

Isolate the variables on one side. This step is necessary because it can cancel out the extra variable and simplify the other variable. To do this, you can either add or subtract on both sides of the equation.

Note: I am subtracting 11D on both sides of the equation since it is my preference. But you can also subtract 13D on both sides of the equation.

To further isolate 2D, we need to subtract 1 on both sides of the equation to cancel out the 1 on the left-hand side of the equation. Then, we have:

But the variable is still not completely isolated since there is a coefficient being multiplied to D. To isolate the coefficient from the variable, we will need to divide the coefficient (2) on both sides of the equation.

Then, simplify both sides of the equation. Eventually, we will have a variable on one side and a numerical value on the other side.

Now we know the age of the granddaughter, we can substitute the age of the granddaughter into one of the equations and simplify it to determine the age of the grandparent. I am going to choose G = 13D since it is easier to simplify. Then, we will substitute the value of D into the equation.

Therefore, the age of the grandparent is 65 years.

Answer:

  1108 in²

Step-by-step explanation:

You want the total surface area of the pentagonal prism shown.

The area of each of the two pentagonal bases is the sum of the area of the yellow rectangle and the area of the triangle above it. That sum is ...

  A = LW +1/2bh

  A = 5(12) +1/2(12)(9) = 12(5 +9/2) = 114 . . . . square inches

The lateral area of the prism is the sum of the areas of the 5 rectangles. That sum will be the product of the perimeter of the pentagonal base and the distance between bases.

  LA = (12 +5 +11 +11 +5)(20) = (44)(20) = 880 . . . . square inches

The total surface area of the figure is the sum of the two base areas and the lateral area:

  SA = 2(114 in²) +880 in² = 1108 in²

The surface area of the composite figure is 1108 in².

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Answer:

776,860

Step-by-step explanation:

1. 31*7=217

2.3580*217=776,860

(This one was tricker than the other one but I hope I'm right and I answered this question first)

Answer:

i think its 14

Step-by-step explanation:

sorry i'm 6

Answer: 4:3 because 20 divided by 5 is 4 and 15 divided by 5 is 3.

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)