What is the relationship between the volume and surface area of the sphere shown?
V>SA
OV OV=SA

The required solution would be 46 for a given problem (1).

The required solution would be 1 for a given problem (2).

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

We have been given that A * B= A·B + 1 and A □ B = A + B/2,

⇒ 3 *[(7 □ 3) □ (3*4)].

⇒ 3 *[(7 + 3/2) □ (3·4 + 1)].

⇒ 3 *[(17/2) □ (13)].

⇒ 3 *[17/2 + 13/2].

⇒ 3 *[30/2].

⇒ 3 * 15.

⇒ 3·15 + 1

⇒ 46

We have been given that * represents an operation defined by a*b= a^b +b,

find (1*2)*3.

⇒  a∗b = aᵇ + b

∴ (1 ∗ 2) ∗ 3 = (1²) ∗ 2 =  (1) ∗ 2 = (1)³ = 1

Therefore, the required solution would be 46 for a given problem (1) and

the required solution would be 1 for a given problem (2).

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: \cfrac{9 {}^{(x + 1)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cfrac{3{}^{2(x + 1)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cfrac{3{}^{(2x + 2)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]

here :

[tex]\qquad \sf  \dashrightarrow \: \cfrac{3{}^{(2x - 1)}(3 {}^{3} - 3 {}^{1}) }{4 \times 3 {}^{(2x - 1)} } [/tex]

[ taking [tex]{ \sf {3}^{(2x - 1)} } [/tex]common here ]

[tex]\qquad \sf  \dashrightarrow \: \cfrac{27 {}^{} - 3 {}^{}}{4 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cfrac{24{}^{} {}^{}}{4 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: 6[/tex]

Given the subset A, the complement of A, A' is  {6}

Given the complement of C, C is {5, 7, 9}

The universal set contains all the elements of the subsets. '  means complement = it means elements that are not in the subset but in the universal set.

To write a set in a roster form, the elements in the set are written in a row within curly brackets - { }. The elements in the set are then separated by commas.

A' = {6}

C = {5, 7, 9}

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This statement in the article is wrong because $2.69 is not the mean price ($2.81)

The prices from 5 gas stations surveyed are given as:

$2.79, $2.99, $2.69, $2.89, and $2.69.

There are no outliers in the dataset

So, the dataset can be summarized by the mean

The mean is

Mean = Sum/Count

So, we have

Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5

Evaluate

Mean = 2.81

The article quoted $2.69 as the typical price

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

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Answer:

4cm

Step-by-step explanation:

the ratio of the two scales is 100,000:300,000 which simplifies to 1/3

1/3 x 12 =4

Answer:

=21

Step-by-step explanation:

2^4 equals 16, add 5 and its 21

2x2x2x2

\/

4x2x2

\/

8x2=16

Step-by-step explanation:

f(x) = 2^x + 5 OR f(x) = 2^(x + 5)?

f(x) = 2^x + 5 , x = 4

f(4) = 2⁴ + 5

= 16 + 5

= 21

f(x) = 2^(x + 5) , x = 4

f(4) = 2^(4 + 5)

= 2⁹

= 512

Answer:

4

Step-by-step explanation:

g(x) is the graph of f(x) shifted up 4 units.

The energy required is 30 watts second.

In order to accomplish work and to produce heat and light, energy must be transferred to a body or to a physical system. Energy is the quantitative attribute that does this. Energy is a preserved resource; according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or eliminated.

The voltage of a battery is 12 V and;

The charge is 2.5C.

Now, energy can be defined as the product of voltage and charge.

Therefore,

E = V × C

E = 12 × 2.5

E = 30 watt second

Hence, the energy needed by the 12 V battery to move 2.5 C through the electrical circuit is 30 watts second.

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Answer:

  (x, y, z) = (-4, -5, 2)

Step-by-step explanation:

You want the solution to the 3×3 system of equations ...

There are many tools available for solving a system of equations. A typical hand-held graphing calculator offers at least two methods. An online graphing calculator solution is shown in the attachment.

For the attached solution, we defined z in terms of x and y using the second equation. This effectively reduces the system to a 2×2 system, which is easily solved. The same "substitution" method can be used when solving the system by hand.

The graph shows the solution to be (x, y, z) = (-4, -5, 2).

Using z = -4x -4y -34 from the second equation, the system reduces to ...

  3x -y -4(-4x -4y -34) = -15

  19x +15y = -151

and

  2x +3y +5(-4x -4y -34) = -13

  -18x -17y = 157

Writing these equations in general form, we have ...

The "cross multiplication method" gives the solution for x and y as ...

  D = (19)(17) -(18)(15) = 53

  x = (15(157) -17(151))/D = -212/53 = -4

  y = (151(18) -157(19))/D = -265/53 = -5

Then z is ...

  z = -4(-4) -4(-5) -34 = 16 +20 -34 = 2

The solution is (x, y, z) = (-4, -5, 2).

__

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The expression, in terms of s and t, for the number of seats on the airplane is given by 24 s + 9 t.

We are given that there are 2 types of seating in an airplane which are economy and first class seating.

Also,

We are given that:

There are s seats in economy in each row and there are t seats in first class in each row.

Now, there are 24 rows in economy class seating.

So, number of seats in economy class = 24 × s = 24 s

And, there are 9 rows in first class seating.

So, number of seats in first class = 9 × t = 9 t

The total number of seats then will be = 24 s + 9 t

Therefore the expression, in terms of s and t, for the number of seats on the airplane is given by 24 s + 9 t.

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Answer:square

Step-by-step explanation: all right angles, all 90 degrees

Step-by-step explanation:

[tex] = ( \frac{3}{5} {)}^{2} [/tex]

[tex] = \frac{ {3}^{2} = 3 × 3 }{ {5}^{2} = 5 × 5 } \\ [/tex]

[tex] = \frac{9}{25} \\ [/tex]

☘️☘️☘️...

Answer:

[tex] \frac{9}{25} [/tex]

Step-by-step explanation:

[tex] { ( \frac{3}{5} )}^{2} \\ = ( \frac{ {3}^{2} }{ {5}^{2} } ) \\ = \frac{9}{25} [/tex]

The polynomial expression for the area of the room is f(x) = x^2 + 16x + 48.

Here, we are given that the side of the length of the rug = x

Now, the square rug is placed on the rectangular room such that on 2 sides the uncovered floor is 6 meters.

This means that the length of the 2 opposite sides of the rectangle will be (x + 6 + 6) = (x + 12)

Similarly, there is 2 feet of uncovered floor on the other 2 sides, which means that the length of other two opposite sides is- (x + 2 + 2) = (x + 4)

Kindly refer to the diagram below for a better clarity of how we found out the sides.

Now, the area of a rectangle = Length × Breadth

Thus, area of the room = (x + 12) (x + 4)

= x^2 + 4x + 12x + 48

= x^2 + 16x + 48

Thus, the polynomial expression for the area of the room is f(x) = x^2 + 16x + 48

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Answer: y=-37/2

Step-by-step explanation:

y=9x/8 + (-1/2)

y=9x/8 - 1/2

y=9(-16)/8 - 1/2

y=9*(-2) - 1/2

y=-18 - 1/2

y=-(18 + 1/2)

y=-(18 + 1/2)*2/2

y=-(36 + 1)/2

y=-37/2

We need to mix 15 ml of 28 % of solution to get the resulting mixture as a 13 % sugar mixture.

Let the amount of 28 % sugar solution be x ml.

We are given that:

10 % sugar solution = 75 ml

Total solution = 75 ml + x ml

We need the solution to be 13 % sugar solution.

So, we get that:

28 % x + 10 % ( 75 ) = 13 % ( 75 + x )

28 x + 750 = 13 ( 75 + x )

28 x + 750 = 975 + 13 x

28 x - 13 x = 975 - 750

15 x = 225

x = 225 / 15

x = 15

Therefore, we need to mix 15 ml of 28 % of solution to get the resulting mixture as a 13 % sugar mixture.

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Answer:

12

Step-by-step explanation:

Answer:

Step 1

Step-by-step explanation:

Yessenia should have distributed 3 to (x+4) as her first step.

her steps should have been as follows:

x+6+3(x+4)

x+6+3x+12

re write: x+3x+6+12

4x+18

Answer:just draw 6 apples up and down, then draw them 11 more times right next to each other, so draw 72 apples

Step-by-step explanation:

Answer:

9/8 mile or 1 and 1/8 mile

Step-by-step explanation:

Add 3/8 + 3/4

LCD is 8 so it would be 3/8 + 6/8 which is 9/8 (which can be converted to the mixed number 1 and 1/8)

Answer:

[tex]-\frac{47}{64}[/tex] or [tex]\frac{1}{2}^{3} -6/\sqrt{64}[/tex]

Step-by-step explanation:

The equivalent expression of 4 − 3(x + 2) + 2(3 − 2x) is -7x + 4

The expression is given as:

4 − 3(x + 2) + 2(3 − 2x)

Open the brackets

4 − 3(x + 2) + 2(3 − 2x) = 4 - 3x - 6 + 6 - 4x

Collect the like terms

4 − 3(x + 2) + 2(3 − 2x) = - 3x - 4x + 4 - 6 + 6

Evaluate the like terms

4 − 3(x + 2) + 2(3 − 2x) = -7x + 4

Hence, the equivalent expression of 4 − 3(x + 2) + 2(3 − 2x) is -7x + 4

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The first flight is 2 hours and second flight is 2 hours and 48 minutes

The two distances are the same (out and back),

so set them equal.

That distance is cover by having one is (rate)(time) equal to other is (rate)(time).

Let,

One time is “x” and the other is “4.8-x.”

One average rate  is 460 per hour

and the other average rate is 500 per hour.

we know , Speed = [tex]\frac{distance}{time}[/tex]

so , distance = speed × time

put in this formula we get the value of X

⇒460 x = 500 (4.8 -x)

⇒460 x = 2400 - 500x

⇒900 x = 2400

⇒x = 2.5 hours for the slower plane.

⇒4.8- x = 2.3 hours for the faster plane.

The formula speed = distance ÷ time can be rearranged, just like any other equation.

Here detail explanation about relation between speed distance and time :

The formula can be rearranged in three ways:

speed = distance ÷ time

distance = speed × time

time = distance ÷ speed

To calculate one of the variables (speed, distance or time) we need the other two.

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The equation of the given situation for total cost C is C = 3m + 40 where m is the number of miles.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

Given the graph,

Let's say the equation which is representing the situation is

C = (Slope)m + d

Where d is y-intercept = 40

Slope = difference in y's coordinate / difference in x's coordinate

Slope = (70 - 55)/(10 - 5)

Slope = 15/5 = 3

So the equation would be ;

C = 3m + 40

Hence "The equation of the given situation for total cost C is C = 3m + 40 where m is the number of miles".

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Given question is the incomplete complete question in form of the image has been attached below;

Answer:

no

Step-by-step explanation:

70,509,733 /6=11751622.2

Answer:

no

Step-by-step explanation:

because it has to be divisible for both  2and 3.

2:

70,509,733    

3 is not even. so, not divisble by 2

3:

70,509,733

7+0+5+0+9+7+3+3= 34

34 is not divisble by 3

I HOPE THIS HELPS

Answer:

(i)

Step-by-step explanation:

express the ratio as a fraction, that is

4 : 5 = [tex]\frac{4}{5}[/tex]

to convert the fraction to a percentage multiply it by 100%

[tex]\frac{4}{5}[/tex] × 100% = 4 × 20% = 80%

Answer: 303.002

Step-by-step explanation:

Answer:

Step-by-step explanation:

45

Answer: 6.47 hours

Step-by-step explanation:

First, you need to change your seconds into terms of minutes.

16 seconds / 60 s in a min = .266 min

Add that to your minutes:

28+.266 = 28.266 minutes

Now convert your minutes into hours

28.266 min/60 min in an hour=.47

Add that to your hours:

6+.47= 6.47 hours total