need help on this math question please

Answer:

2³⁰ > 30²

Step-by-step explanation:

Now the values of,

→ 2³⁰ = 1073741824

→ 30² = 900

Then the expression will be,

→ 2³⁰ ? 30²

→ 1073741824 > 900

→ 2³⁰ > 30²

Hence, answer is 2³⁰ > 30².

The equation to solve for W is W = (P-2L)/2.

According to the question,

We have the following information:

P = 2L + 2W

Now, we have to solve this equation for W.

Subtracting 2L from both sides of the equation will give us the following expression:

P-2L = 2W

Now, we will divide both sides of the equation by 2. And we will have the following expression:

(P-2L)/2 = W

(More to know: now, in this equation, if the value of P and L are given then we can use this equation to find the value of W.)

Hence, the equation to solve for W is W = (P-2L)/2.

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The 3 geometric means between 5 and 3125 is 5, 25, 125, 625, 3125 using Geometric progression.

The geometric mean is a mean or average used in mathematics that uses the product of the values of a collection of numbers to show the central tendency of that set of numbers. The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values. An average that multiplies all values and determines the number's root is known as the geometric mean. You locate the nth root of their product for a collection of n integers. This descriptive statistic can be used to sum up your data.

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Answer:

Total surface area of the cone = 208.81 sq cm

explanation

Diameter of the cone (d) = 7 cm

Slant height (L) = 15.5 cm

1) The radius of the cone= Half of the diameter

= 7/2 cm = 3.5 cm

⇒ r = 3.5 cm

Now, Total surface area of the cone =

taking π = 3.14

We get

and πrl = 3.14 x 3.5 + 15.5 = 170.345

So, Total surface area of the cone = 38.465 + 170.345 = 208.81 sq cm

The answer to the question is: x = 8                      

Answer:

x = 8

Step-by-step explanation:

4x + 2 - 3 - 3x = 7

x -1 = 7

x = 7 + 1

x = 8

The given relation is not function, because 15 is repeating twice. In domain 15 is with 8 and 2.

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A system of equations to describe this situation is:

c(n) = 25n + 30

c(n) = 15n + 50

The total cost is equal to $80.

The solution to this system of equations is 2.

In order to write a system of equations to describe this situation, we would assign variables to the number of portrait sheets and cost of a photography session respectively, and then translate the word problem into algebraic equation as follows:

The cost for Murray Photography is given by:

c(n) = 25n + 30

The cost for Lasting Memories Company is given by:

c(n) = 15n + 50

Next, we would solve the system of equations as follows:

25n + 30 = 15n + 50

25n - 15n = 50 - 30

10n = 20

n = 20/10

n = 2.

Now, we can calculate the total cost:

c(n) = 25n + 30

c(2) = 25(2) + 30

c(2) = $80.

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The cold will it get if it' 50c outside and the temperature will drop 70c in next 3 hour is -20 c.

Given:

If it' 50 c outside and the temperature will drop 70 c in next 3 hour.

Temperature (cold) = present temperature - temperature in next 3 hour.

= 50 - 70

= -20 c.

Therefore the cold will it get if it' 50c outside and the temperature will drop 70c in next 3 hour is -20 c.

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Answer:

$90

Step-by-step explanation:

The amount Oliver borrowed = 1,500

The interest rate applied to the loan = 12%

Required: To calculate the simple interest using the formula, I = P•R•T

Where;

I = The simple interest

P = The principal borrowed = $1,500

T = The time or loan duration = 6 months = 1/2 year

R = The rate at which the loan is applied = 12% = 0.12

Therefore;

I = $1,500 × 0.12/year × 6/12 year = $90

The correct option for the interest paid on the loan is therefore;

$90

30 L of 26% and 15L of 20% of each mixture should be added to make 45 l of a solution that is 24% alcohol.

The quantity of a substance, like salt, that is present in a specific volume of tissue or liquid, like blood, according to science. When there is less water present, the substance becomes more concentrated. You can determine how much solute has been dissolved in the solvent by looking at the concentration of the solution.

Here,

26x + 20(45-x) = 45(24) 

26x -20x = 45(24) -(20(45) 

6x = 4(45) = 180 x = 180/6 = 30 L of 26%

45-x = 45-30 = 15L of 20%

To make 45 l of a 24% alcohol solution, combine 30 l of 26% and 15 l of each mixture.

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Answer:

x=20

x= -20

Step-by-step explanation:

The answer will be:

The equation has one real root. And the root is -1/2.

The equation y= 2[tex](x+1)^2[/tex] has one real root and that is x=-1.

What is real roots of the equation?

    We are aware that when we resolve a linear or quadratic equation, we always arrive at the value variable of the equation, or, to put it another way, we always locate the equation's solution. This "solution" is what we refer to as the real roots. For instance, when the equation [tex]X^2[/tex]-7x+12=0 is solved, the actual roots are 3 and 4.

Here given,

=> y = 2[tex](x+1)^2[/tex]

Take y=0 then,

=> 2[tex](x+1)^2[/tex]=0

=> [tex](x+1)^2[/tex]=0

=>(x+1)=0

=> x=-1

Hence the given equation has one real root and that is x=-1.

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Answer:

x = - 1/2

Step-by-step explanation:

3x - 6 = -7.5

3x = -7.5 + 6

3x = - 1.5

3/3 x = -1.5 / 3

x =  - 0.5

x = - 1/2

Answer:

x = -1/2

Step-by-step explanation:

Given equation,

→ 3(x - 2) = -7 1/2

Now the value of x will be,

→ 3(x - 2) = -7 1/2

→ 3x - 6 = -15/2

→ 3x = -7.5 + 6

→ x = -1.5/3

→ [ x = -1/2 ]

Hence, value of x is -1/2.

The cost of the ticket for everyone, given the amount raised by the PTA, can be found to be  $63.88

The cost of the tickets to each individual person, or to everyone, can be found by the formula:
= Amount raised by PTA / Number of students and teachers going on the trip

Amount raised by PTA = $7, 985

The number of students and teachers going on the trip:

= 112 + 13

= 125 people

The cost of the tickets are:

= 7, 985 / 125

= $63.88

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There are 2730 ways in which 15 race cars can finish in first, second, and third place.

Let's examine this logically now. Any one of the 15 runners can cross the finish line in first place. You can still have any one of the 14 race cars who are still running finish in second place. Any one of the 13 race cars who haven't crossed the finish line yet can take third place.

As a result, multiplying all the possibilities will give us the number of ways ;

Number of ways =15*14*13

                            =2730

So, the total number of ways in which the race cars finish in first, second, and third place is 2730.

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Answer:250

Step-by-step explanation:5((6(8))+2)=250 using pemdas start with parenthesis so 6*8=48 this puts the equation at 5(48+2) then do the parenthesis again so 48+2=50 this puts the equation at 5*50 then do your last step which will give you your answer of 250

Answer:

True

Step-by-step explanation:

True.

1 and 2/5 can be rewritten as 1 and 4/10, and thus is equal to 1.4.

If the volume of a sphere is decreasing at a constant rate of 55 cubic feet per minute. The volume of a sphere  is  0.036.

Using this formula to find the  volume of a sphere

V = 4/3 π r³

Taking the derivative with respect to time:

dV/dt = 4π r² dr/dt

Let plug in the formula

55 = 4π (11)² dr/dt

dr/dt = 55/ (484π)

dr/dt = 55/1,520.5308

dr/dt = 0.036

Therefore the  volume of a sphere is 0.036.

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Answer:

0.75

Step-by-step explanation:

because 9/12 is 0.75

Let's establish what this rate indicates through an equation:

inches burned

       hour

Now, plug in the information you have:

inches burned      =          9

       hour                          12

9/12 = 0.75

0.75 inches of the candle is burned per hour

In the video about the construction of the insect phylogeny, the researchers faced the problem that there was not enough computational power in all of the world to construct every possible tree.

The use of computing algorithms, tools, and programmes to phylogenetic analysis is known as computational phylogenetics. The purpose is to create a phylogenetic tree that represents a hypothesis about a set of genes, species, or other taxa's evolutionary ancestry.

There was not enough computational power to construct every possible tree in all of the world. So the probable solution for this problem will be:

Use math to avoid constructing improbable trees

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Answer:

Step-by-step explanation:

3x + 4y when x = 6 and y = -3

Put in values of x and y:

3(6) + 4(-3) = 18 + (-12) = 6

Answer:

A: 7

Since the slope is 3 and passes down (1, 10), the answer will be 7

The measure of angles ∠1 = 60 degrees, ∠2=120 degrees, ∠3 = 60 degrees, ∠4=60 degrees, ∠5 = 120 degrees, ∠6= 120degreesa and ∠7 = 60 degrees

The measure of angle 3 = 180 - 120

= 60 degrees

Because the sum of angles on a straight line will be 180 degrees

The measure of angle 6 = 120 degrees

The measure of angle 3 = The measure of angle 7  = 60 degrees

Because the corresponding angle will be equal

The measure of angle 1 = 180-120

= 60 degrees

The measure of angle 2 = 180 - 60

= 120 degrees

Because the sum of angles on a straight line will be 180 degrees

The measure of angle 2 = The measure of angle 5 = 120 degrees

The measure of angle 1 = The measure of angle 4 = 60 degrees

Because the corresponding angles will be equal

Hence, the measure of angles ∠1 = 60 degrees, ∠2=120 degrees, ∠3 = 60 degrees, ∠4=60 degrees, ∠5 = 120 degrees, ∠6= 120degrees and ∠7 = 60 degrees

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The elevation is represented by y = -t + 9, and after 5 minutes would be 4 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the height of the elevator above the ground after t seconds.

As you begin, you are nine feet above ground level. Your elevation changes at the rate of negative one foot per second. Hence:

y = -t + 9

In 5 minutes:

y = -(5) + 9 = 4

The elevation in 5 minutes would be 4 feet.

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45 pieces can the dressmaker cut from 5 of these rolls of ribbon.

Mathematical expression:

When we validly combine numbers and variables, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.

Here we have to find the number of 12-inch pieces can the dressmaker cut from 5 of these rolls of ribbon.

We are provided the length of the ribbon, which is 9 feet.

As we know that

1 feet = 12 inches

So rolls of 9 feet can make 9 pieces of 12 inches.

So 5 of these rolls of ribbon can make = 5 × 9 = 45 pieces.

Therefore we get 45 pieces.

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The slope of the line that passes through the pair of points (0, 1) and (1, -2) will be -3.

First, let us understand the slope of a line:

A slope of a line is defined in mathematics as the change in the y coordinate with regard to the change in the x coordinate.

We are given the points:

(0, 1) and (1, -2)

We will calculate the slope of the line using the following formula:

m = (y_2 - y_1) / (x_2 - x_1)

Let x_1 = 0, x_2 = 1, y_1 = 1 and y_2 = -2.

Substitute the given values in the above formula, we will get:

m = (-2 - 1) / (1 - 0) = -3 / 1 = -3

So, the slope of the line is -3.

Thus, the slope of the line that passes through the pair of points (0, 1) and (1, -2) will be -3.

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Answer:

slope: (6+10)/(15-0)

M: 16/15

B = -10

y = 16/15x -10

Answer:

Step-by-step explanation:

Least to greatest :

-3/5,-2/3,0,0.7