The volume of a sphere is 2304π in^3.

The radius of the sphere is ___ inches.​

By drawing the line x + y = 2, one of the solution to the given system of equations is (0, 2).

Mathematically, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²  

Where:

From the information provided, we have the following system of equations:

x² + y² = 9             ......equation 1.

x + y = 2              .............equation 2.

Next, we would use an online graphing calculator to plot the given system of equations and then highlight (read) the point of intersection, which is the ordered pair (0, 2).

Read more on equation of a circle here: brainly.com/question/17028215

#SPJ1

Answer:

Step-by-step explanation:

Midpoint formula is x3 = (x1+x2)/2, y3=(y1+y2)/2

so x3=(9-5)/2=2, y3=(-5/2-3/2)/2=-2.

the coordinates is (2, -2).

Answer:

d7-dx=(20x|x-3|+40)x  x-3 (|x-3+2)x| x-3|

Step-by-step explanation:

Hope this helps :D

The distance between points E(-8, 7) and L(-1, 4) on the coordinate plane is √58 units

An equation shows how two or more numbers and variables are related to each other.

The distance between two points in the coordinate plane is given as:

[tex]Distance=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

The distance between points E(-8, 7) and L(-1, 4) is:

[tex]EL = \sqrt{(4-7)^2+(-1-(-8))^2}=\sqrt{58}[/tex]

The distance is √58 units

Find out more on equation at:https://brainly.com/question/2972832

#SPJ1

10.625 pounds of peanuts mixed with almonds priced $5.35 perpound

Weight is measured in pounds. 16 ounces or 0.453592 kilos make up one pound.

Let's name the weight in pounds of almonds and peanuts that we need x.

We are aware that our ultimate goal is to produce 20 pounds of the mixture, which will sell for $4.50 each pound. The mixture will therefore cost 20 * $4.50, or $90, in total.

Additionally, we are aware that peanuts cost $3.75 per pound and almonds cost $5.35 per pound.

As a result, the price of the almonds we use is 5.35x, while the price of the peanuts we use is 3.75(20 - x) = 75 - 3.75x.

We may create an equation since our goal is to produce a mixture that costs $90 in total:

5.35x + (75 - 3.75x) = 90

When we simplify this equation, we get:

1.6x + 75 = 90

75 is subtracted from both sides to produced

1.6x = 15

By multiplying both sides by 1.6, we get:

x = 9.375

To create a mixture that will sell for $4.50 per pound, we must combine around 9.375 pounds of almonds with (20 - 9.375) = 10.625 pounds of peanuts

To know more about pounds visit:

brainly.com/question/29181271

#SPJ1

Answer:

200 is your answer

Step-by-step explanation:

First, multiply:

8 × 5 × 4 = 160

Then, multiply:

4 × 5 × 2 = 40

Next, add them up.

160 + 40 = 200

Lastly, have a great day!

According to the table, the average number of pools sold per month during this period is 14 (to the nearest tenth)

It is defined as the ratio of summation of all the data to the number of units present in the list. It can also be the middle value, calculated by dividing the total of all the values by the number of values.

The average can also be defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

It is represented mathematically as;

Average = Sum of Values/Number of Values

Average = total swimming pools sold in six months / number of months

Average = (11 + 10 + 12 + 16 + 15 + 18) / 6

Average = 82/6

Average = 13.7

Average = 14 (to the nearest tenth)

Learn more about average here: https://brainly.com/question/20118982

#SPJ1

Answer:

B

Step-by-step explanation:

1) transform mm in cm

12 : 10 = 1,2 cm

2) find the base area

base area = (leg 1 x leg 2)/2 = (1,2 x 4,5)/2 = 2,7 cm^2

did not mean to press answer sorry

Therefore , the solution of the given problem of trigonometry comes out to be x = nπ where nЄ Z (where n is an integer).

The mathematical field of trigonometry investigates relationships between triangle sides and angles. Because every straight-sided form may be reduced to a collection of triangles, trigonometry is a fundamental concept in all of geometry. The relationships between trigonometry and other branches of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, are astonishingly intricate.

Here,

[tex]e^{x}[/tex] is a function that increases across all of space  (d[[tex]e^{x}[/tex] ]/dx = [tex]e^{x}[/tex]  which is never negative), it must be that so it must be that [tex]e^{u}[/tex] crosses y=1 just once, or at u = 0. To demonstrate this:

In[tex]e^{sinx}[/tex]= In 1

sin x = 0

And when x = "0, 0", "2", we would have that sin x = 0 in [0, 2"]. In general, we would then have that x = n, where n Z, because of the periodicity of sin (where n is an integer).

Therefore , the solution of the given problem of trigonometry comes out to be x = nπ where nЄ Z (where n is an integer).

To know more about trigonometry , visit

brainly.com/question/12068045

#SPJ1

Use Pythagorean theorem,   C^2 = A^2 + B^2

Where c is the hypotenuse, and b and a are the sides.

Substitute and solve:

[tex]C^2 = 6^2 + 8^2[/tex]

[tex]C^2 = 36 + 64[/tex]

[tex]C^2 = 100[/tex]

[tex]\sqrt{C^2} = \sqrt{100}[/tex]

[tex]C = 10[/tex]

Answer:

$60,000 as down payment and remaining difference for loan is 300,000 - 60,000 = $240,000.

The money you need to save before you will be approved for a loan is $60,000 and the remaining difference that you will need to borrow is $2,40,000

A percentage is a number or ratio that can be expressed as a fraction of 100.

A loan is money, property, or other material goods given to another party in exchange for future repayment of the loan value amount with interest.

Given value of the house is $300,000.

The bank recommends that you have a 20% down payment before it approves a loan i.e. is $300,000× 20% = $60,000

The remaining difference that you will need to borrow is $300,000 - $60,000= $2,40,000

Thus the money you need to save before you will be approved for a loan is $60,000 and the remaining difference that you will need to borrow is $2,40,000

To know more about loan and percentage click here

https://brainly.com/question/2155156

#SPJ2

Answer: x = 4

Step-by-step explanation:

Based on the given distances and angle measures, DE is congruent to XY, DF is congruent to ZX, and EF and ZY are congruent.

This means that:

[tex](4x-1)=15[/tex]

Simplify and solve for x.

[tex]4x-1=15\\4x=16\\x=4[/tex]

So, x = 4

Answer:

Slope of the line would be [tex]\frac{4}{5}[/tex]

Hope this helps!

Answer:

B

Step-by-step explanation:

1.5 x 1.5 x 3.6 = 8.1

8.1/2 = 4.05 cm^3

Answer: A total of 8 1/3 yards of fabric is needed for both pieces.

Step-by-step explanation: First, you must subtract 1/6 from 4 1/4 to figure out how many yards of fabric is needed for the matching jacket. To do this, you have to find common denominators for each fraction. Since the fractions have a least common denominator of 12, change each fraction to satisfy this new denominator: 1/6 changes to 2/12 and 4 1/4 changes to 4 3/12. Now, you must subtract: 4 3/12 - 2/12 = 4 1/12. Therefore, the matching jacket requires 4 1/12 yards of fabric. Next, add the amount of fabric for the dress (4 3/12) to the amount of fabric for the matching jacket (4 1/12): 4 3/12 + 4 1/12 = 8 4/12. Simplify 8 4/12 to get a final answer of 8 1/3 yards of fabric in total.

A particular dress requires 25/3 yards of fabric for manufacturing is needed for both pieces.

Arithmetic operations are a set of four basic operations to be performed to add, subtract, multiply or divide two or more quantities.

According to the question

A particular dress requires 4 1/4 yards of fabric for manufacturing.

If the matching jacket requires 1/6 yards less fabric.

Jacket need = [tex]4\frac{1}{4} -\frac{1}{6}[/tex]

= [tex]\frac{17}{4} -\frac{1}{6}[/tex]

= [tex]\frac{49}{12}[/tex]

Add the Jacket fabric and dress fabric

Together we need = [tex]\frac{17}{4} +\frac{49}{12}[/tex]

= [tex]\frac{100}{12}[/tex]

= [tex]\frac{25}{3}[/tex]

A particular dress requires 25/3 yards of fabric for manufacturing is needed for both pieces.

Find out more information about arithmetic operations here

https://brainly.com/question/25834626

#SPJ2

[tex]4r + 14 - r - 6[/tex]

Combine Like Terms:

[tex](4r-r)+(14-6)[/tex]

[tex]=\fbox{3r + 8}[/tex]

Answer:u cheating like a mfka lol

Step-by-step explanation:dwd

Answer: 10

Step-by-step explanation:

The interquartile range is the whole box but not the whiskers, so lowest number to highest number you take these two and subtract thus the answer is 10

20 - 30 = 10

Answer:

y = -3/4x -1.5

Step-by-step explanation:

-6+3 = -3

3+1 = 4

-3/4

y = -3/4x +b

3 = -3/4(-6) +b

3 = 4.5 +b

b = -1.5

y = -3/4x -1.5

Answer:

y=-4 /3x– -5

Step-by-step explanation:

mrk me brainliest

Answer:7 7/8. pounds.

Step-by-step explanation:

The equation of the line that passes through the points (- 6, - 3) and (4, 5) is y = (4 / 5) · x.

In this question we have the knowledge of two points, of which we must derive the equation of a line, whose definition is shown below:

y = m · x + b

Where:

The slope of the line can be determined by secant line formula:

m = Δy / Δx

Where:

First, determine the slope of the line:

m = [5 - (- 3)] / [4 - (- 6)]

m = 8 / 10

m = 4 / 5

Second, determine the intercept of the line:

b = y - m · x

b = 5 - (4 / 5) · 4

b = 5 - 5

b = 0

Third, write the equation of the line:

y = (4 / 5) · x

To learn more on equation of the line: https://brainly.com/question/2564656

#SPJ1

4.8

Divide 250 by 2 which is 125 then do 600 divided by 125. Then your answer should be 4.8.

On solving the provided question, we can say that - the range [tex]|x + 1| = 0[/tex] [tex]x + 1 = 0 = > x = -1[/tex] and [tex]y = 3[/tex]

Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

The regions where the absolute values are zero are known as the vertex points of an absolute value function.

[tex]|x + 1| = 0\\x + 1 = 0\\x = -1[/tex]

[tex]y = |-1 + 1| + 3\\y= 0 + 3\\y = 3[/tex]

To know more about range visit:

https://brainly.com/question/28135761

#SPJ1

The initial polynomial result will include several terms, but after simplification, there may only be one or two terms left.

Each polynomial must be considered to be in standard form. The initial multiplication will result in a total of m and n terms since each of the m terms of the first polynomial will be multiplied by each of the n terms of the second.

When the sum is simplified, some of those elements may be combined, resulting in a final product with only one or two terms.

1. 2 × b = 2b . . . . . each has 1 term; the result has 1 term.

2. (x -a)(x +a)  = x² -ax + ax -a² (2×2=4 terms) = x² -a² . . . . the results has 2 terms.

3.  (x -a)(x³ +x) =  x⁴ -ax³ + x² -ax . . . the results has 2×2 = 4 terms

To know more about polynomial visit:

brainly.com/question/15400009

#SPJ1

The Value for x and y as follow:

A) x=2 and y=-8

B) x = -2 and y = 5

C) x = -9/4 and y= -5/2

The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.

Given:

A) 9x- 2y = 34...............(1)

5x+ 2y = -6..............(2)

Adding equation (1) and (2) we get

9x -2y = 34

5x + 2y = -6

_____________

14x = 28

x= 28/14

x= 2

and, 5x +2y= -6

5(2) + 2y= -6

2y = -6 -10

y = -8

B) x+ 6y = 28.....................(3)

2x -3y = -19................(4)

Multiply equation (2) by 2 we get

4x - 6y = -38.......................(5)

Adding equation (3) and (5), we get

x + 6y = 28

4x- 6y = -38

___________

5x = -10

x= -2

and, x+ 6y= 28

-2 +6y= 28

6y= 30

y=5

C) 8x -6y = -3................(6)

6x -5y = -1......................(7)

Multiply equation (6) by 5 and equation by (6), we get

40x - 30 y = -15

36 x - 30y = -6

-       +           +

____________

4x = -9

x= -9/4

and, 8x - 6y = -3

8(-9/4) - 6y = -3

-18 - 6y= -3

-6y = 15

y = -5/2

Learn more about Elimination Method here:

https://brainly.com/question/14619835

#SPJ1

The value of x on the line segment and the triangle is 17.3 units

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

A triangle (see attachment for the triangle)

Also from the question, we understand that:

BD bisects ∠ABC

Using the bisector theorem, we have

x/13 = 20/15

Multiply both sides of the equation by 13

So, we have the following representation

13 * x/13 = 20/15 * 13

Evaluate the products

So, we have the following representation

x = 20/15 * 13

Evaluate the other products

So, we have the following representation

x = 52/3

This gives

x = 17.3

Hence, the length x is 17.3 units

Read more about line segments at

https://brainly.com/question/17374569

#SPJ1