A sphere had a 6-inch radius (r).
volume of the sphere?

A. 24 cubic inches B. 32 cubic inches
C. 216 cubic inches
D. 288 cubic inches

Answer:

Step-by-step explanation:

x = ( -b ± √b² - 4*a*c  ) / 2a

3x² - x + 6 = 0

x = ( 1 ± √1 - 4 *3*6) / 2(6)

Rate of change (m) = 10

Starting amount (b) = 14

It takes 9 days to have 104 boondins.

The equation in slope-intercept form is: y = 10x + 14

Its graph is shown below.

Where m represents the rate of change and b represents the y-intercept or starting value, the equation of a line can be written in slope-intercept form as:

y = mx + b.

From the information given, the following are given about the line:

x = number of days

y = total number of boondins

If he had 74 boondins in 6 days and he bought 10 more every day, then:

x = 6

y = 74

Starting value (b) = ?

Rate of change (m) = 10

Substitute the values into y = mx + b to find the value of b:

74 = 10(6) + b

74 = 60 + b

74 - 60 = 60 + b - 60

14 = b

b  = 14

Therefore:

Rate of change (m) = 10

Starting amount (b) = 14

To write the equation in slope-intercept form, substitute b = 14 and m = 10 into y = mx + b:

y = 10x + 14

To find how many days it takes to have 104 boondins, substitute y = 104 into the equation, y = 10x + 14:

104 = 10x + 14

Solve for x

104 - 14 = 10x

90 = 10x

90/10 = 10x/10

9 = x

x = 9

It takes 9 days.

For 10 days, it would take:

y = 10(10) + 14

y = 114 boondins

The table is:

(x, y)

(0, 14)

(10, 114)

The graph for y = 10x + 14 is given in the attachment.

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Answer:

20 + 32

Step-by-step explanation:

4(5 + 8)​

20 + 32 = 52

I hope this helps!

50 pound in yen is 7200 yen

Algebra is a branch of mathematics that helps translate real-world situations or problems into mathematical truths. Mathematical operations like addition, subtraction, multiplication, and division are needed in addition to variables like x, y, and z to construct a meaningful mathematical expression. All branches of mathematics, such as calculus, trigonometry, and coordinate geometry, employ algebra. A fundamental algebraic equation is 2x + 4 = 8. Algebraic expressions serve as the mathematical statement when operations such as addition, subtraction, multiplication, division, etc. are done on variables and constants. Let's imagine that while playing with matchsticks, James and Natalie came up with the idea to arrange the sticks into designs that represented numbers.

Given that : 1 euro is 120 yen and 1 pound is 1.2 euro

1 euro = 120 yen

1 pound = 1.2 euro

1 pound = 1.2 × 120 yen

1 pound = 144 yen

50 pound = 144 ×50

= 7200 yen

50 pound in yen is 7200 yen

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Answer: 2.32

Step-by-step explanation:

[tex]\frac{29}{100}(8)=2.32[/tex]

The slope of the given points is equal to -5/2 or -2.5.

A slope is also referred to as gradient and it's typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

For the given points P(-6, 16) and Q(2, -4), the slope is given by;

Slope = Δy/Δx

Slope = (-4 - 16)/(2 - (-6))

Slope = (-4 - 16)/(2 + 6)

Slope = -20/8

Slope = -5/2 or -2.5.

For the given points R(-6, 14) and S(-2, 4), the slope is given by;

Slope = Δy/Δx

Slope = (4 - 14)/(-2 - (-6))

Slope = (4 - 14)/(-2 + 6)

Slope = -10/4

Slope = -5/2 or -2.5.

In conclusion, the slope of the line that passes through the given points is equal to -5/2 or -2.5.

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Complete Question:

Find the slope of the given points. P(-6, 16), Q(2, -4); R(-6, 14), S(-2, 4)

An equation for a line that passes through (0, 0) and is parallel to a line that passes through (-5, 3) and (2, 1) is 0 = (-2/7)0 + 0

Two or more lines that never intersect are said to be parallel. We can see parallel lines all around us, such as in the bookcase's shelves and the two sides of this page.

There is a good chance that lines or structures that appear to run in the same direction, never cross one another, and always have the same spacing between them are parallel.

We will find the slope using the slope formula that is

⇒ m  = (y₂ - y₁)/(x₂ - x₁)

Given points are (-5, 3) and (2, 1), so

⇒ m  = (1 - 3)/(2 - (-5))        

⇒ m  = -2/7

We have asked to write an equation for a parallel line that passes through (-5, 3) and (2, 1).​

for a two lines to be parallel, m = m for both lines

so as the slope is (-2/7), lets put the value in (0,0)

y = mx + b

0 = (-2/7)0 + b

b = 0

And therefore the equation is 0 = (-2/7)0 + 0

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The options that have equivalent expression(s) are:

The expressions that are equivalent be determined by checking the given options one after the other to determine the ones that will have the same value if properly expressed.

The second option is (4)^3x^2 , and it can as well be expressed as 1/4^3x2 because 1/4 is the same expression as 4^-1

The third option (1/4)3x^2  is equivalent with the expression we got at the first option.

Therefore, the expression that is equivalent to each other from the given expression are the second option and the third option.

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Answer:

its c and d

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

split 221 students in a ratio of 7:6

let x be 1/13th of the votes

221 = 7x + 6x

221 = 13x

17 = x

julia is the 6 in 7:6

6x

6(17)

102

the answer is c

Answer:

the answer is no solution

Step-by-step explanation:

Answer:

the answer is

297.6551724138

Answer:

the answer would be 9 tickets left

Step-by-step explanation:

8x6=48

15x6=90

12x3 + 15x3=81

90-81=9

9 tickets left

Answer: f(0)= 4

Step-by-step explanation:

First you need to plug 0 in for x

f (x)=-x+4 -> f(0)= -(0)+4

next solve:

f(0)= -(0)+4

0*-1 = 0

f(0)= 4

The correct answer is  f(0)= 4.

Hope this helps!

Answer:

x=5

Step-by-step explanation:

4x-5=x+10

-x -x

________

3x-5=10

+5 +5

________

3x=15

__ __ the 2 small lines mean divided

3 3

x=5

:)

The equation with solution zero are : b. 2 (x + 6) = 3 (x + 4) and  d. 3x + 8 = 2x+8.

Here in this problem, we are dealing with linear equations which is a condition of one variable regularly composed within the form ax+b=0 where a and b are real numbers and x is an unknown variable. Solutions to linear equations is refer to a linear equation that can have zero, one, or infinitely numerous solutions. A linear equation with no solutions simplifies to an untrue statement such as 1=0. A linear equation with one solution simplifies to a solution of the form x=n where n may be a real number. A linear equation with infinitely numerous solutions simplifies to a true statement without a variable such as 1=1.

So in the above-given equations

a. 4x + 1 = 4x - 1 => 4x-4x =1-1 =>0=0

b. 2 (x + 6) = 3 (x + 4)

=> 2x+12=3x+12

=>3x-2x= 12-12

=>x=0

c. 2x + 5 = 11

=>2x= 11-5

=>x=3

d. 3x + 8 = 2x + 8

=>3x-2x =8-8

=>x=0

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Answer: x = -20

Step-by-step explanation:

Step 1: Move Like Terms to the Same Side

5/6x - 4/5x = -1/2 - 1/6

Step 2: Multiply by 30 to Remove Fractions

25x - 24x = -15 - 5

Step 3: Combine Like Terms

x = -20

Answer:

The answer is x = -20

Step-by-step explanation:

Did the math

Answer:

308 Calories are provided by the Powerbar.

Step-by-step explanation:

Use the typical amounts shown for each nutrient first to calculate how many calories each one provides:

Fat: 4 grams x 9 kcal/gram = 36 kcals.

Protein: 23 grams x 4 kcal/gram = 92 kcals.

45 grams x 4 kcal/gram of carbohydrates equals 180 kcal.

To determine the total calories, add up all the Calories from each nutrient as follows:

92 calories from protein and 36 calories from fat equal 308 calories.

The Powerbar contains 308 calories.

Answer:

Total Calories = (4*9) + (23*4) + (45*4)

                           36+92+180 = 308 Calories

To calculate total calories we first need to convert total fat, protein, and carbohydrates into calories

1 gram of protein = 4 calories

1 gram of fat = 9 calories

1 gram of carbohydrates = 4 calories

The measure of angle 3 is 45°.

What is an angle?

An angle is a figure in Euclidean geometry created by two rays, called the sides of the angle, that share a common termination, called the vertex of the angle. Angles created by two rays are located in the plane containing them. Angles are also generated when two planes meet. These are known as dihedral angles. An angle defined by two intersecting curves is the angle of the rays lying tangent to the respective curves at their point of junction.

Angle 6 = 45° (vertically opposite angles)

angle 3 = angle 6 = 45° (alternate angles)

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Answer:

5, 15

Step-by-step explanation:

The solution to the system is where the lines intersect. If they intersect once, then there is one solution. If the lines intersect twice, there are two solutions. You probably get the picture. So yes, your answer should be correct.

Hope this helps! :)

Answer:

yes it is

Step-by-step explanation:

yeah it is correct

The given linear equation has solutions 1000 and 2000. This are values for which the equation is true.

Linear equations are equations that has a leading degree of 1. Given the equation below, we are to determine the value of x from the expression.

Given the linear equation

x/50=20=40

This can be splitted into x/50=20 and x/50 = 40

Solve both equations

x/50=20

Cross multiply

x = 50 * 20

x = 1000

Similarly;

x/50 = 40

Cross multiply

x = 50 * 40

x = 2000

Therefore the solutions to the given system of linear equation are 1000 and 2000

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The value of given expression is [tex]10^7[/tex] which can be said as 10 raised to the power 7.

We have to find the value of [tex]10^5*\frac{10^4}{10^2}[/tex]

It is a question of exponents and powers.

Exponents (Power)

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself. It is placed as a superscript over a number. In other words, it indicates that the base is raised to a certain power.

For example, the mass of Earth is 5,97,219,00,00,00,00,00,00,00,00,000 kg. This cannot be read in simple words. Thus, to pronounce these types of numbers we make use of exponents.

Hence, the weight of earth will be written as [tex]5.97219 * 10^{24}[/tex].

We know that:-

[tex]x^a*x^b = x^{a+b}[/tex] and,

[tex]x^a/x^b = x^{a-b}[/tex]

Hence, we can write,

[tex]\frac{10^4}{10^2} = 10^{4-2} = 10^2[/tex]

Now,

[tex]10^5*10^2=10^{(5+2)}=10^7[/tex]

Hence, the answer is [tex]10^7[/tex].

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Answer:

Answer down below!

Step-by-step explanation:

Since we do have 4x +2, we know a few things:

So, your answer must be the third option down, because:

A. Just says 4x

B: Says 2(x*x*x*x)

D: 4x + 2x

So your answer must be C

The following statements are true about the scaled copy

Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.

From the figure, we understand that there is another figure

This figure is the scaled factor of the given figure

As a general rule, the following are the properties of a scaled copy of another figure

Using the above as a guide, the true statements about the scaled copy are (b), (c), and (d)

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The missing part of the statements are g(6) = 0, g(2) = 2, g(0) = 3, g(8) = -1 and g(4) = 1

The graph represents the given parameter

From the graph, we can see that the graph represents a linear function

Note that:

linear functions are functions that have constant average rates of change.

Having mentioned that, we have the following computations:

When x = 6 on the graph, g(x) = 0

This means that g(6) = 0

When x = 2 on the graph, g(x) = 2

This means that g(2) = 2

When x = 0 on the graph, g(x) = 3

This means that g(0) = 3

When g(x) = -1 on the graph, x = 8

This means that g(8) = -1

When g(x) = 1 on the graph, x = 4

This means that g(4) = 1

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Answer:

f(- 7) = 16

Step-by-step explanation:

substitute x = - 7 into f(x) , that is

f(- 7) = (- 7)² + 3(- 7) - 12 = 49 - 21 - 12 = 28 - 12 = 16

Answer:

It looks like you want the point slope form of a line

y-4 = -2 (x +3)

Step-by-step explanation:

y -[tex]y_{1}[/tex] = m(x- [tex]x_{1}[/tex])  You plug in 4 for [tex]y_{1}[/tex], -2 for m and -3 for[tex]x_{1}[/tex]

y - 4 =(2(x - -3)  x - -3 is the same at x + 3

y-4 + -2(x + 3)

(5x+15)°+(3x-3)°=180°(CO-INTERIOR ANGLES)

[tex]5x + 15 + 3x - 3 = 180 \\ 5x + 3x = 180 - 15 + 3 \\ 8x = 168 \\ \frac{8x}{8} = \frac{168}{8} \\ x = 21[/tex]

ATTACHED IS THE SOLUTION

Answer:

9 yd²

Step-by-step explanation:

If it's a square the sides will be equal length...

[tex]\sqrt{81}[/tex] = 9

Hope this helps, have a great day! :)

The number of cans each guest must bring to reach the goal must be greater than or equal to 5 by inequality.

What is inequality in math?

Let

x -----> the number of cans each guest must bring to meet the goal

we know that

The number of guests multiplied by the the number of cans each guest must bring to meet the goal plus the currently cans must be greater than or equal to 1,000 cans

so

The inequality that represent this problem is

565 + 87x ≥ 1000

Solve for x

565 + 87x ≥ 1000

Subtract 565 both sides

87x ≥ 1000 - 565

87 ≥ 435

Divide by 87 both sides

x ≥ 435/87

x≥ 5

therefore, The number of cans each guest must bring to reach the goal must be greater than or equal to 5.

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