Work out the value of (2³)²

The false statement from the stem-and-leaf plot is given as follows:

b. The data for Paul’s group has two modes.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

The mode of a data-set is the data-set that appears the most times in a data-set.

Hence, for Paul's group, the mode is given as follows:

44.

As it is the only observation that appears the times, hence the data has one mode, and option b gives the false statement.

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I think it's TRUE so yeah.

Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

Answer:

Miko was wrong in the first step where he multiplied 3 by (5/3). It should be 5 multiplied by (3/5). He has done multiplication incorrectly.

Step-by-step explanation:

Answer:

1 9 3

Step-by-step explanation:

i think only this much

Answer:

1,3 and 9

As Nine is divisible by 1,3 and 9

Rate of change is the change in a quantity with regards to another quantity

(a) The change in the solution in the tank after 1 minute is \(\underline{-3\frac{7}{15} \ L}\)

(b) The change in the volume after 15 seconds is \(\underline{-\dfrac{13}{15} \ L}\)

(c) The solution in the tank decreases by \(-\dfrac{13}{15} \ L\) in 15 seconds

Reason:

The given parameters of the solution in the tank are;

The rate at which the solution enters the tank, V = \(16\frac{3}{4}\) liters per minute

The rate at which the solution leaves the tank = \(19\frac{4}{5}\) liters per minute

(a) The expression that represents the change in volume in the tank is given as follows;

\(16\frac{3}{4} \ L - 19\frac{4}{5} \ L = -3\frac{7}{15} \ L\)\(-3\frac{7}{15} \ L\)

The change in the volume of solution in the tank after 1 minute is \(-3\frac{7}{15} \ L\)

(b) 15 seconds = 0.25 × 1 minute

Therefore, the change in the volume after 15 seconds is \(-3\frac{7}{15} \ L \times 0.25 = -\dfrac{13}{15} \ L\)

(c) The change in the volume of solution in the tank after 15 seconds is a decrease in the volume of solution in the tank by \(-\dfrac{13}{15} \ L\)

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its c

Step-by-step explanation:

The number of points to be removed from the graph is 2

from the question, we have the following parameters that can be used in our computation:

The graph

From the graph, we can see that

2 points have the same y coordinates

Another 2 points have the same y coordinates

For it to be a function, one of the 2 points must be removed each

So, we have the number of points to be removed from the graph is 2

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Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).

Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).

Answer:

Go on Answers.com your welcome.

Answer:

Option C. 6.5

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle B = 80°

Side opposite B (b) = 10

Angle C = 40°

Side opposite C (c) =?

We can obtain the value of c by using the sine rule as illustrated below:

b / Sine B = c / Sine C

10 / Sine 80 = c / Sine 40

Cross multiply

c × Sine 80 = 10 × Sine 40

Divide both side by Sine 80

c = (10 × Sine 40) / Sine 80

c = 6.5

Thus, the value of c is 6.5

Answer:

sin A = sin B = sin C

Step-by-step explanation:

The sine rule is a law which relates all the three sides of a triangle with the sine of their opposite angles in the triangle. Given a triangle with a side of a and an opposite angle of A, side b with opposite angle B and side c with opposite angle C. The sine rule is given as:

\(\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}\)

Given that all the side of the triangle have a length of 1, that is a = b = c = 1, hence the equation becomes:

\(\frac{sin(A)}{1}=\frac{sin(B)}{1}=\frac{sin(C)}{1}\\\\sin(A)=sin(B)=sin(C)\)

Answer:

sin A = sin B = sin C

Step-by-step explanation:

edg

Answer:

Meaning of Sequence in Math:

In mathematics, a sequence is a listed collection of objects in which repetitions are permitted and order things. Like a set, it contains individuals (moreover called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence.

The properties of operations to multiply the expression are commutative property,  associative property, and distributive property.

Let us understand the properties of operations to multiplication:

The foundation of arithmetic is the Properties of Operations; we use them when performing computations and recalling basic facts.

There are basically three properties of operations to multiplication which are:

Thus, the properties of operations to multiply the expression are commutative property,  associative property, and distributive property.

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Answer:

5

Step-by-step explanation:

Given

3n + 7 = 22

3n = 22 - 7

3n = 15

n = 15 / 3

n = 5

Hope it will help :)

Answer:

n = 5

Step-by-step explanation:

3n + 7 = 22

Solve for n.

----------------------

When we need to find a variable, we need to isolate the variable to the point that it is by itself.

3n + 7 = 22

Subtract 7 from both sides :

3n + 7 - 7 = 22 - 7

3n = 15

Divide both sides by 3 :

n = 5

Answer:$31,500

Step-by-step explanation:

To calculate the total amount Mario will pay, including the loan amount and interest, for the loan from First Bank of Trust, we need to calculate the interest and add it to the loan amount.

The formula to calculate simple interest is:

Interest = (Loan Amount) x (Interest Rate) x (Loan Length)

Let's plug in the values given:

Loan Amount = $25,000

Interest Rate = 6.5% (or 0.065 as a decimal)

Loan Length = 4 years

Interest = $25,000 x 0.065 x 4 = $6,500

Now, let's calculate the total amount Mario will pay:

Total Amount = Loan Amount + Interest = $25,000 + $6,500 = $31,500

Therefore, the total amount Mario will pay, including the loan amount and interest, for the First Bank of Trust loan is $31,500.

Answer:

16

Step-by-step explanation:

Answer:

h = 16

Step-by-step explanation:

Ratios:

\(\frac{h}{24} =\frac{4}{6} \\\\6h=96\\h=16\)

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

9514 1404 393

Answer:

 x = {-4.4, +2.9}

Step-by-step explanation:

We assume you want to solve ...

  2x^2 +3x -41 = -15

Adding 41 and factoring out the leading coefficient gives ...

  2(x^2 +3/2x) = 26

Dividing by 2 makes it ...

  x^2 +3/2x = 13

We can add the square of half the x-coefficient to "complete the square."

  x^2 +3/2x +(3/4)^2 = 13 +(3/4)^2

  (x +3/4)^2 = 13.5625 . . . . write the left side as a square

  x +3/4 = ±√13.5625 . . . . . take the square root

  x = -0.75 ±3.683 = {-4.433, +2.933} . . . . subtract 3/4 and evaluate

The solutions are approximately x = -4.4 and x = 2.9.

Answer:

540 degrees

Step-by-step explanation:

Triangles ( 3 sides )

180 degrees

Squares ( 4 sides )

360 degrees

Pentagon ( 5 sides)

540 degrees

Hexagon ( 6 sides )

720 degrees

Any Polygon can be calculated using this formula:

n = number of sides

(n - 2) * 180 degrees

*Note, this is only for the sum of the interior angles. Exterior angles on polygons are ALWAYS equal to 360 degrees.

Let f(x) is a function and a function g(x) is given by,

Here, if C is positive, then the graph of g(x) is the graph of f(x) shiftedC units to the left.

If C is negative, then the graph of g(x) is the graph of f(x) shifted C units to the right.

Given:

Then, g(x) can be expressed as, ,

From the explanation above, g(x) is the graph of f(x) shifted 1 unit to the left.

Now, the graph of g(x) can be drawn as:

Answer:

Distributive property says that:

(A + B)*C = A*C + B*C

Now let's try to use it in our expression:

3 + 5*c*(2 + 6*c)

Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:

3 + (5*c)*2 + (5*c)*(6*c)

Now remember that the multiplications are associative and commutative, then we can write this as:

3 + (2*5)*c + (5*6)*(c*c)

3 + 10*c + 30*c^2

And we can't simplify it anymore.

The value of X, given the matrices, can be found to be X = [ [ 4 ], [-1.5 ] ].

We are told that the value of X can be found to be :
2X + A = B

Solving this would give:
X = (B - A) / 2

We can then apply this to the matrices to give:
B - A = [ [ 11 - 3 ], [1 - 4 ] ]

B - A =  [[ 8 ],  [ -3 ] ]

X = [ [ 8 / 2 ], [ -3/2 ] ]

X = [ [ 4 ], [-1.5 ] ]

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To solve this system of equations, you can use the method of substitution.

The first step is to solve one of the equations for one of the variables in terms of the other. You can start by solving the second equation for y:

5y - 8x = 10

y = (8x - 10) / 5

Next, you can substitute this expression for y in the first equation:

8((8x - 10) / 5) - 9x = -3

This simplifies to:

16x - 80 - 9x = -3

Which simplifies to:

7x - 80 = -3

Then, you can solve for x by adding 80 to both sides of the equation:

7x = 77

Finally, you can divide both sides of the equation by 7 to solve for x:

x = 11

Now that you have found the value of x, you can substitute it back into either of the original equations to find the value of y.

For example, you can substitute it into the second equation:

5y - 8(11) = 10

This simplifies to:

5y - 88 = 10

Then, you can solve for y by adding 88 to both sides of the equation:

5y = 98

Finally, you can divide both sides of the equation by 5 to solve for y:

y = 19.6

So, the solution to the system of equations is x = 11 and y = 19.6.

The maximum volume of the cylinder is approximately 1257 cubic centimeters.

The volume V of a right circular cylinder with radius r and height h is given by:

V = πr²h

Substituting the given expressions for the radius and height of the cylinder, we get:

V = πx²(800/πx - x)

Simplifying the expression, we get:

V = 800x - πx³

To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

dV/dx = 800 - 3πx² = 0

3πx² = 800

x² = 800/3π

x ≈ 6.43

Substituting this value of x back into the expression for V, we get:

V ≈ 1257

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Answer:

-78/30 or -2 3/5

Step-by-step explanation:

4 1/6 - 3 3/5

25/6 - 18/5

30-108\30

= -78/30 or -2 3/5

Answer:

4 1

6

–

3 3

5

=

17

30

Step-by-step explanation:

4 1

6

–

3 3

5

=  (4 – 3) + (

1

6

–

3

5

)

=  1 +

1 × 5

6 × 5

–

3 × 6

5 × 6

=  1 +

5

30

–

18

30

=  1 +

5 – 18

30

=  1 +

-13

30

=  

17

30

Answer:

1/3

Step-by-step explanation:

Rise/run

10/30

I hope this is right and that it helps.

Using multiplication rules, it is found that the result of the multiplication will be a negative number.

Hence, in this problem we have that:

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Answer:

n = -17/3

Step-by-step explanation:

3n -5 = 6(n+2)

First start by distributing the 6 on the right side:

3n-5 = 6n +12

Then combine common factors. Start with the coefficients. Add 5 to both sides:

3n = 6n +17

Then subtract 6n from both sides:

-3n = 17

Finally, isolate the variable by dividing -3 from both sides:

n = -17/3

Answer:

n≈-5.67

Step-by-step explanation:

3n-5=6(n+2)

3n-5=6n+12

3n=6n+17

-3n=17

n≈-5.67