[18-2+(14-3) - 3]=_
Which operation is done first when solving this
expression?

The cost of making the ball is $678.24.

We are told in the question that Justin's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make copper balls that have a radius of 6 in. If copper costs $0.75 per in^(3).

Now we have to obtain the volume of the ball. Let us recall that the ball has the shape of a sphere hence volume of a sphere is;

V = 4/3πr^3

V = 4/3 * 3.14 * (6)^3

V = 904.32 in^3

The cost of the ball is; 904.32 in^3 *  $0.75

= $678.24

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Option D: The solution of the system of equation is (-1,-2)

A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

To create an equation in one variable using the elimination approach, you may either add or subtract the equations. To remove a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

The equations are :

y = 3x + 1 ⇒ y - 3x = 1 (i)

y = -2x -4 ⇒ y + 2x = -4  (ii)

Subtracting (i) from (ii) we get ,

2x +3x = -4 -1

⇒ 5x = -5

⇒x = -1

for x = -1

y = 3x + 1 = 3*(-1) + 1 = -2

The solution of the system of equation is (-1,-2)

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Answer:

infinitely many solutions

Step-by-step explanation:

The tangent is horizontal when the slope of the tangent is 0.

A horizontal tangent line is a mathematical feature on a graph, located where a function's derivative is zero.

Where the derivative of a function is zero, a graph's horizontal tangent line is a mathematical feature.

This is so that the derivative, by definition, can provide the slope of the tangent line.

The slope of horizontal lines is zero. As a result, the tangent line is horizontal when the derivative is zero.

Use the function's derivative to get the zeros and then insert them back into the original equation to find horizontal tangent lines.

Calculus considers horizontal tangent lines significant because they show local maximum or minimum points in the original function.

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The proportion of sweater prices falling between 48.50 dollars and 60 dollars can be found by calculating the area under the normal curve for the two endpoints which is 78.38%

This can be calculated using the z-score formula, which is defined as

(x-μ)/σ, where x is the value of interest, μ is the mean, and σ is the standard deviation.

For 48.50 dollars, the z-score is

(48.50-58)/5.5 = -1.454545.

For 60 dollars, the z-score is

(60-58)/5.5 = 0.363636.

Using a z-table, the proportion of sweater prices between 48.50 and 60 dollars is 0.7838, or 78.38%.

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The scientific notation 6.3 × 10³ can be written as 6300 in regular notation

Scientific Notation is a way of writing big and small numbers very easily. It is also known as the Standard form in Britain. It is used when a number can be multiplied by a power of 10.

When we write a scientific notation, it has two parts.

In the question instead of writing 6.3 × 10³, we can also write 6.3 × 10^4 which is easy to type but means the same.

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The complete question will be:

How is the Scientific Notation 6.3 × 10³ can be written as regular notation?

Answer:

4

Step-by-step explanation:

A dilation of a shape's area will proportionately affect its diagonal (or in the case of a circle, its radius). Thus, we can simply multiply the scale factor (1/4) by the circle's original radius to get the length of new radius.

[tex]16 \left(\dfrac{1}{4} \right)[/tex]

[tex]= \dfrac{16}{4}[/tex]

[tex]= 4[/tex]

Yes, it is true that the functional baseline identifies all top-level functions that a system must carry out as well as the functionality that is expected of it.

The functional baseline describes the system functionality that is necessary, as well as the functional and interface features of the overall system and the verification that is necessary to show that the given functional characteristics have been achieved. An activity's effectiveness and progress can be tracked and evaluated both during implementation and after completion using the data from a baseline study as a benchmark.

The functional baseline is the authorized configuration documentation that details a system's or top-level CI's performance requirements (functional, interoperability, and interface characteristics), as well as the verification necessary to show the accomplishment of those specified characteristics.

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The domain of the function  [tex]f(x) = log_{b} x[/tex]  is (0, ∞) and the range of the function is  (-∞, ∞) which means that all real numbers is the range for the given function.

The domain of the function is the set of numbers for which the function is defined. It acts as input for the function and gives output known as range.The range of the function is the set of numbers of possible output values.It is derived from set of inputs known as domain.

Given,         [tex]y = log_{b} x[/tex]

To calculate the domain of given function we put argument greater than 0
               [tex]x > 0[/tex]

Now we have to express the domain in the form of interval

             Domain = (0, ∞)

Now put the domain in logarithmic expression to get range:

                 ∴ Range = (-∞, ∞)

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The simplified form of the expression -5/9 ÷ -1/3 is  1 2/3.

Given the expression in the question;

-5/9 ÷ -1/3

To divide a fraction by another fraction, multiply by its reciprocal.

Hence;

-5/9 × -3/1

Note that; - × - = +

5/9 × 3/1

Multiply 5 and 3

( 5 × 3 ) / 9

15 / 9

Cancel out the common factor of 3

5/3

Convert the improper fraction

5/3

1 2/3

Therefore, the result is 1 2/3.

Option B) 1 2/3 is the correct answer.

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The solution of the statement is,

⇒ - 6, - 5, - 4, - 4, 5 , 6

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The algebraic statement is,

''All numbers with an absolute value greater than 3 but less than 7''.

Now,

The mathematical expression of the given statement is,

⇒ 3 < |x| < 7

Thus, All the possible values are;

⇒ |x| = 4, 5, 6

⇒ x = - 6, - 5, - 4, - 4, 5 , 6

Thus, All the solution of the given statement is,

⇒ x = - 6, - 5, - 4, - 4, 5 , 6

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Answer: The temperature on Wednesday is 5 degrees hotter than Tuesday

Step-by-step explanation:

Answer:

It is not true unless one or both variables is equal to zero. If either x, y or both is 0, then the equation will be true.

If the Hendricksons are in charge of bringing treats for 505050 football players. The  statement that best predicts how many football players will get a popsicle is: C. There will be exactly 30 football players who get a popsicle.

First step is to find the total cooler

Total cooler =  3+2

Total cooler = 5

Since  play we have 3:2 type of color

Hence,

Number of player with popsicles = 3/5 × 50

Number of player with popsicles = 30

Number of player with sandwiches = 2/5 × 50

Number of player with sandwiches = 20

Therefore the correct option is C.

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The complete question is:

The Hendricksons are in charge of bringing treats for 50 football players. They brought 3 coolers of popsicles and 2 coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat. Which statement best predicts how many football players will get a popsicle? Choose 1 answer:

A. There will be exactly 20 football players who get a popsicle.

B. There will be close to 20 football players but not exactly 20 who get a popsicle.

C. There will be exactly 30 football players who get a popsicle.

D. There will be close to 30 football players who get a popsicle but not exactly 30 who get a popsicle

The radical value of the expression is 144⁵/³

You should be aware that a radical expression is defined as  any expression containing a radical (√) symbol.

The given expression to be ex[pressed is

(2∛12)(3∛2)

To express this, we multiply two two brackets together to have

6∛24

Taking the cube root of 24 we have

6¹ * 24¹/³

Applying the multiplication law of indices we have

144⁵/³

In conclusion this is to say that the radical expression is 144⁵/³

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After taking the common, the factored form of [tex]4x^2-9[/tex] is (2x+3)(2x-3).

In the given question, we have to find the factored form of [tex]4x^2-9[/tex].

The following is how we factor the GCF out of a polynomial:

(1) Determine the polynomial's GCF for each term.

(2) Present each term as the GCF and another factor's product.

(3) To factor out the GCF, use the distributive property.

To solve this question we use the formula [tex](a^2-b^2) = (a+b)(a-b)[/tex]

We can write [tex]4x^2-9[/tex] as

[tex]4x^2-9[/tex] = [tex](2x)^2-(3)^2[/tex]

[tex]4x^2-9[/tex] = (2x+3)(2x-3)

Hence, the factor form of [tex]4x^2-9[/tex] is (2x+3)(2x-3).

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The complete question is:

What is the factored form of [tex]4x^2-9[/tex]?

The code creates a new data frame that filters for chocolate bars that contain at least 80% cocoa and have a rating of at least 3.75 points.

filter(cocoa.percent >= 80, rating >= 3.75)

1. Start by creating a new data frame called best_trimmed_flavors_df that uses the trimmed_flavors_df data frame

2. Use the %>% operator to pipe the trimmed_flavors_df data frame into the new data frame

3. Use the filter() function to filter the new data frame for chocolate bars with at least 80% cocoa and a rating of at least 3.75 points

The code creates a new data frame that filters for chocolate bars that contain at least 80% cocoa and have a rating of at least 3.75 points.

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The image point of (3, 3) is (3/n, 3/n).

Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.

Given point (3, 3).

Let n be the scale factor.

The image of (3, 3) after dilation,

by a scale factor of n centered at the origin will be,

= (3/n, 3/n).

= (3/n, 3/n).

Therefore, (3/n, 3/n) is the image point.

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Answer:

Lucia has a faster rate.

Step-by-step explanation:

Lucia's unit rate

46/4 = 11.5   240 minutes is the same as 4 hours   240/60

Lucia can travel 11.5 miles in 1 hour.

Quinn's unit rate:

51/5 = 10.2

Quinn can travel 10.2 miles in 1 hour

Answer:Lucia is faster

Step-by-step explanation:

speed= distance / time Lucia:46miles /240

The statements that are true based on the following given information is  F ⊂ D (E ∩ F) is the empty set.

You should understand that a set is the collection of different items or numbers to form a group.

The given parameters that will help us to understand what a set is is given below

The elements of these sets are given as follows

D= {1,2,3,4,5,6,7,8,9, ...}

E= {4,9,16,25}

F= {20,22,24,26,28,30)

D ∪ E = {1,2,3,4,5,,,,,9......16....25...) ≠ E

Also

E∪(D∩F) =

First find (D∩F) =

(D∩F) =  but E∪(D∩F) = Ф

Also, F ⊂ D (E ∩ F)

E∩F = Ф and F⊄E

Therefore it is an empty set

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Answer:

Michael can jump 31 inches high. This can be calculated by subtracting his height (63 inches) from the height of the doorframe (94 inches), which gives a difference of 31 inches.

Answer:

7.5 Hours

Step-by-step explanation:

Given:

Kellan burns 348 calories in 3 hours.

Question:

How long will it take her to burn 870 calories?

Solve:

Since, it given that KelIan burns 348 calories in 3 hours. Then we need to find how much KeIlan burns per hour.

To do that, divide the calories by the hours.

Thus, 348 divided by 3 which equals 116.

Now knowing that KeIlan burns 116 per hour will help us know how much hours it would take to burn up 870 calories.

To do that,

We have to divide 870 by 116 which equals 7.5.

Hence, it would take 7.5 hours to burn 870 calories.

RevyBreeze

The value of the first term that is less than 0 is -4

The formula for the nth term of an arithmetic sequence is:

aₙ = a₁ + (n - 1)d

Where a₁ is the first term in the sequence, d is the common difference between terms, and n is the position of the term that we are trying to find.

If in an arithmetic sequence, the first term is 100 and the fourth term is 76, then the common difference is

aₙ = a₁ + (n - 1)d

76 = 100 + (4 - 1)d

76 = 100 + 3d

3d = 76 - 100

3d = -24

d = -8

Solve for aₙ that is less than 0.

aₙ = a₁ + (n - 1)d

aₙ = 100 + (n - 1)(-8) < 0

100 - 8n + 8 < 0

8n > 108

n > 13.5

a₁₄ = 100 + (14 - 1)(-8) = -4

Therefore, the value of the first term that is less than 0 is -4.

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Answer:

5

Step-by-step explanation:

15/3 = 5

Answer:

c. 5

Step-by-step explanation:

15 ×1/3

= 5

note: three goes into fifteen 5 and goes into itself 1 living 5 .

The cylinder's capacity is 1.25 x [tex]10^{5}[/tex] and 3.28077×   [tex]10^{5}[/tex] its radius and height are indicated in the illustration, accordingly.

The area contained by an object's limits in three-dimensional space is referred to as its volume. Another name for it is an object's capacity. The quantity of space a 3-dimensional item occupies is another way to quantify volume. A vessel's liquid content is measured in standard units and is known as the liquid measurement. Additionally, we call it the vessel's "volume" or "capacity." Both the juice bottle and the infant milk bottle have milliliter measuring marks.

given

a) r = 20 cm

h = 100 cm

V = [tex]\pi r^{2}h[/tex]

V = [tex]\pi * 20^{2} * 100[/tex]

= 1.25 x [tex]10^{5}[/tex]

b) d = 118 m =  118 / 2 = 59 m

h = 30 m

V = [tex]\pi r^{2}h[/tex]

V = [tex]\pi * 59^{2} * 30[/tex]

= 3.28077×  [tex]10^{5}[/tex]

The cylinder's capacity is 1.25 x [tex]10^{5}[/tex] and 3.28077×   [tex]10^{5}[/tex] its radius and height are indicated in the illustration, accordingly.

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If angle C is greater than angle E, then AB is greater than. Therefore, option B: 'greater than' is the correct answer.

In the figure attached, it is seen that

                     BC = DE      and       AC=  FE

Now it is required to find the relation between sides AB and DF of the two given triangles.

Since it is given that angle C of the first triangle is greater than angle E of the second triangle. So it is concluded that the opposite sides of the two triangles are in the same ratio as their angles.

Hence, the AB is greater than DF.

"

Complete question:

In the triangles,BC = DE and AC = FE. If mC is greater than mE, then AB is ________ .

A: congruent to

B: longer than

C: shorter than

D: the same length as

"

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Answer:

18√3

Step-by-step explanation:

To simplify the expression 2√48 + 5√12, you can first simplify each of the terms inside the parentheses. The square root of 48 is equal to 4*√3, so you can rewrite the first term as:

2√48 = 2*(4√3) = 8√3

The square root of 12 is equal to 2*√3, so you can rewrite the second term as:

5√12 = 5*(2√3) = 10√3

Now that you have simplified the terms inside the parentheses, you can add them together to get:

(8√3) + (10√3) = 18*√3

So, the simplified expression is equal to 18*√3

The number of ways to arrange the seven books on three different shelves as required is; 210 ways.

It follows from the task content that the number of possible arrangements of all seven books on three different shelves be determined.

On this note, the number of possible arrangements is best described by the number of possible permutations.

On this note, the permutation which represents the number of possible arrangements is;

⁷P₃

= 210 ways.

Ultimately, the number of possible arrangements is: 210.

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The x values after solving the equation |2x - 5| = |7x + 10| are -3 and [tex]\frac{-5}{9}[/tex].

As per the given data, the given equation is:

|2x - 5| = |7x + 10|

Here we have to solve the given equation.

Which means we have to find the value of x.

|2x - 5| = |7x + 10|

Remove the mod on either side of the equation.

When we remove mod ± should be added to another side of the equation.

We get:

2x - 5 = ± (7x + 10)

When it is positive, we get:

2x - 5 =  (7x + 10)

7x - 2x = -5 - 10

5x = -15

x = -3

When it is negative, we get:

2x - 5 = - (7x + 10)

2x - 5 = -7x - 10

2x + 7x = -10 + 5

9x = -5

x = [tex]\frac{-5}{9}[/tex]

Therefore the values of x are -3 and [tex]\frac{-5}{9}[/tex].

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