Find the volume of this sphere use three

Find The Volume Of This Sphere Use Three

Answers

Answer 1
Answer:

2916 ft³

Step-by-step explanation:

Volume helps describe the amount of space that a shape takes up.

Volume of a Sphere

Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.

Volume Formula

Every regular shape has its own volume formula. For a sphere, the formula is:

[tex]V = \frac{4}{3}\pi r^{3}[/tex]

So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.

V = 4/3 * 3 * 9³V = 2916

When using 3 for pi, the volume of the sphere is 2916 ft³.


Related Questions

I'm just going to drop this here!

Answers

The 3rd graph (bottom left)

2.58

2x-9
X =
X +5
Use the triangle shown above to solve for x.
A

Answers

The value of x is 14.

We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.

We have two sides measured 2x-9 and x+ 5.

From the figure the length of sides are equal then

2x-9 = x+ 5

2x- 9- x = 5

x-9 = 5

Add 9 to both sides of the equation:

x - 9 + 9 = 5 + 9

x= 14

Thus, the value of x is 14.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ1

Find the 43rd term of -12, -6, 0, 6, 12

Answers

Answer:

The 43rd term is

5774757640780493117306381461880832

Step-by-step explanation:

[tex]t(n) = a {r}^{n - 1} [/tex]

t(n)= -12×6⁴³‐¹

t(43)=12×6⁴²

T(n)=5774757640780493117306381461880832

find the missing probability. P(A)=1/5, P(A u B)=12/25, P(A n B)=7/100, P(B)=?

Answers

Answer:  7/20

Work Shown:

P(A u B) = P(A)+P(B)-P(A n B)

12/25 = 1/5+P(B)-7/100

12/25 = 20/100+P(B)-7/100

12/25 = P(B)+13/100

12/25-13/100 = P(B)

48/100-13/100 = P(B)

35/100 = P(B)

7/20 = P(B)

P(B) = 7/20

A Surfboard Shop sells 45 Surboards per month.
When it charges 500 per Surboard for
each $20 decrease in Price the
Store sells 5 more surboards Per Month
How much should the shop chase per Board to Maximize monthly revenue
A 380
B 340
C 400
D360

Answers

The amount the shop should chase per Board to Maximize monthly revenue is; B: 340

How to solve algebraic word problems?

We are given the parameters as;

Number of surfboards sold per month = 45

Thus;

The shop sells 45 surfboards for $500 each which means it equals a total of: $22,500

Let x be the number of $20 decreases. Thus;

($500 - $20x)(45 + 5x) = 0

22500 - 900x + 2500x - 100x² = 0

22500 + 1600x - 100x² = 0

using the formula for the axis of symmetry:

x = -b/2a:

where a = -100, b = 1600, and c = 22500 (standard form of an equation), we have;

-1600/-200 = 8

The shop should decrease the price by $20, eight times exactly to get:

($500 - $20*8)(45 + 5*8)

($500 - $160)(45 + 40)

($340)(85) = $28,900 is the maximum monthly revenue

Read more about algebraic word problems at; https://brainly.com/question/21405634

#SPJ1

As a salesperson at Roaring Waves Beach
Supplies, Carissa receives a monthly base
pay plus commission on all that she sells.
If she sells $400 worth of merchandise in
one month, she is paid $396. If she sells
$1,000 of merchandise in one month, she
is paid $540.
Here is the salary function used to
represent this situation in terms of the
amount of merchandise sold:
s(x) 0.24x+ 300
Find Carissa's salary when she sells $1,900 worth
of merchandise.

Answers

To find Carissa's salary when she sells $1,900 worth of merchandise, we can use the salary function provided:

s(x) = 0.24x + 300

Here, 'x' represents the amount of merchandise sold.

Substituting x = $1,900 into the function:

s(1900) = 0.24 * 1900 + 300

s(1900) = 456 + 300

s(1900) = 756

Therefore, when Carissa sells ${\textsf{1,900 worth of merchandise, her salary will be}} $756.

[tex]\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}[/tex]

♥️ [tex]\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}[/tex]

Now, suppose one of the roots of the polynomial function is complex. The roots of the function are 2 + i, and 5. Write the equation for this polynomial function.

Which of the following must also be a root of the function?

–3

–5

2 – i

2i

Answers

2 – i must be the root of the function. Option C

To find the equation for the polynomial function with the given roots, we can use the fact that complex roots occur in conjugate pairs. The given roots are 2 + i and 5. Since 2 + i is a complex root, its conjugate, 2 - i, must also be a root. Therefore, the polynomial function can be written as:

(x - 2 - i)(x - 2 + i)(x - 5)

Now, let's simplify this equation:

(x - 2 - i)(x - 2 + i)(x - 5)

= [tex][(x - 2)^2 - i^2](x - 5)\\= [(x - 2)^2 + 1](x - 5)\\= (x^2 - 4x + 4 + 1)(x - 5)\\= (x^2 - 4x + 5)(x - 5)\\= x^3 - 4x^2 + 5x - 5x^2 + 20x - 25\\= x^3 - 9x^2 + 25x - 25[/tex]

Now, we have the equation for the polynomial function with roots 2 + i and 5 as[tex](x^3 - 9x^2 + 25x - 25).[/tex]

To determine which of the options must also be a root of the function, we can substitute each option into the polynomial equation and check if it satisfies the equation.

A) –3:

[tex](-3)^3 - 9(-3)^2 + 25(-3) - 25 = -27 - 81 - 75 - 25 = -208[/tex]

Since the result is not zero, -3 is not a root of the function.

B) –5:

[tex](-5)^3 - 9(-5)^2 + 25(-5) - 25 = -125 - 225 - 125 - 25 = -500[/tex]

Since the result is not zero, -5 is not a root of the function.

C) 2 – i:

[tex][(2 - i)^3 - 9(2 - i)^2 + 25(2 - i) - 25] = 0[/tex]

When evaluating this expression, it will simplify to zero. Therefore, 2 - i is a root of the function.

D) 2i:

[tex](2i)^3 - 9(2i)^2 + 25(2i) - 25 = -8i - 36 - 50i - 25 = -61 - 58i[/tex]

Since the result is not zero, 2i is not a root of the function.

Based on the calculations, the option C) 2 – i must also be a root of the function.

For more such questions on root visit:

https://brainly.com/question/428672

#SPJ8

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

D. 100.5 in³

Step-by-step explanation:

We can find the radius of the cone, we can use the following formula:

[tex]r = \frac{\sqrt{(s² - h²)}}{2}[/tex]

where:

r is the radiuss is the slant heighth is the height

In this case, we have:

s = 10 inchesh = 6 inches

Substituting these values into the formula, we get:

[tex]r = \frac{\sqrt{(10² - 6²)}}{2}[/tex]

r=4 inches

Now that we know the radius, we can find the volume of the cone using the following formula:

V = ⅓*πr²h

where:

V is the volumeπ is approximately 3.14r is the radiush is the height

In this case, we have:

V = ⅓*π(4²)(6)

V = ⅓*π*(16)(6)

V =32π

V= 100.5 cubic inches

Therefore, the volume of the cone is 100.5 cubic inches.

The graphs of f(x) and g(x) are shown below: Graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 9, 0. If f(x) = (x + 7)2, which of the following is g(x), based on the translation? Group of answer choices g(x) = (x + 9)2 g(x) = (x + 5)2 g(x) = (x − 5)2 g(x) = (x − 9)2

Answers

The given information, we have two Functions: f(x) = (x + 7)^2 g(x) = (x + a)^2  the correct choice is: g(x) = (x - 9)^2.

The given information, we have two functions:

f(x) = (x + 7)^2

g(x) = (x + a)^2

The graph of function f(x) opens upward and has its vertex at (-7, 0). This means that the vertex of f(x) is obtained by shifting the graph of the parent function (x)^2 to the left by 7 units. Therefore, the value of "a" in g(x) should be the same as the shift applied to f(x), but in the opposite direction.

Since the vertex of f(x) is at (-7, 0), we need to shift the graph to the left by 2 units to obtain the vertex of g(x). Therefore, "a" should be -9.

So, g(x) = (x - 9)^2.

Therefore, the correct choice is: g(x) = (x - 9)^2.

To know more about Functions.

https://brainly.com/question/11624077

#SPJ8

Please help me with the question

Answers

The equation of a circle with center (3, -15) and radius 3 is (x - 3)² + (y + 15)² = 9.

What is the equation of the circle?

The equation of a circle with center and radius is calculated as follows;

The general formula for the equation of a circle is;

(x - h)² + (y - k)² = r²

where;

(h, k) is the center of the circler is the radius of the circle

The center of a circle is given as (3, -15).

Radius of the circle = 3

The equation of the circle becomes;

(x - 3)² + (y - (-15))² = 3²

(x - 3)² + (y + 15)² = 9

Learn more about equation of circle here: https://brainly.com/question/1506955

#SPJ1

HELP ASAP Emily bought 7 shirts, 2 pair of pants , 2 skirts, 3 pair of shoes. each day she wears 1 shirt,1pair of pants, and 1 pair of shoes. how many different outfits an Emily make from the new clothes and shoes she bought?

Answers

Answer:42

Step-by-step explanation:

we need to find the product of the number of options for each category.

Emily has:

7 shirts

2 pairs of pants

2 skirts (not mentioned if she can wear them with shirts, so we'll exclude them for now)

3 pairs of shoes

Since Emily wears one shirt, one pair of pants, and one pair of shoes each day, we can multiply the number of options for each category:

7 shirts * 2 pants * 3 shoes = 42 different outfits

Therefore, Emily can make 42 different outfits from the new clothes and shoes she bought.

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

Step-by-step Explanation:

r=d/2=14/2=7yd

From hyp²=opp²+adj²

opp²=hyp²-adj²

h²=25²-7²

h²=625-49

h²=576

square root of both sides

h²=576

h=24yd

Volume of a cone=1/3pir²h

V=1/3×22/7×7²×24

V=22×7×8

V=1232yd²

Volume of pyramid=1/3AH

hyp²=opp²+adj²

14²=h²+5²

196=h²+25

h²=196-26

h²=171

h²=171

h=13.1yd

V=1/3×B×H×H

V=1/3×

which equation has the same graph as y= 3x²-6x+7

3(x-1)^2 +6
3(x-1)^2 +9
(3x-1)^2+6
(3x-1)^2+9

Answers

The equation that has the same graph as y = 3x² - 6x + 7 is:

(3x - 1)² + 6

X Y
5 8
8 12.8
9 14.4

Direct Variation: Divide y by x to
find constant of variation, k.
y/x = k

Indirect Variation: Multiply x and y to find constant of variation, k.
xy=k


Determine if the given data are a
direct or indirect variation. SHOW YOUR WORK

Write the equation modeling the
data.

Answers

The equation modeling the data will depend on the specific context and meaning of X and Y. Once this information is known, it will be possible to write an accurate equation that models the data.

In order to write an equation modeling the data using the given terms X and Y, we need to have a clear understanding of what X and Y represent. Without this information, it is not possible to write an equation that accurately models the data.

X and Y could represent a variety of things depending on the context in which they are used. For example, X could represent time and Y could represent distance traveled.

In this case, we could use the equation Y = mx + b, where m is the slope and b is the y-intercept, to model the data. The slope would represent the speed at which the object is traveling, and the y-intercept would represent the initial position of the object.

Another example could be that X represents the number of workers in a factory and Y represents the number of products produced. In this case, we could use the equation Y = kX,

where k is a constant representing the productivity of each worker. This equation would model the data by showing the relationship between the number of workers and the number of products produced.

To learn more about : equation

https://brainly.com/question/17145398

#SPJ8

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Hi tag brainliest ❣️

Thanks

Since the shaded area equal 4

our answer is A

that is the number of shaded area ÷ the total number of points

-

Write what the variable n represents in each expression.
L. Lisa can run the 100-yard dash 5 seconds faster than Jerry. Lisa's time is n-5
seconds.
M. Pedro is 3 times younger than his father. Pedro is n + 3 years old.
N. Lucia has $10.00 less than her sister. Lucia has n-10 dollars.
O. Jack is 2 times taller than his younger brother. Jack is 2 x n inches tall.

Answers

The variable n represents time in seconds

The variable n represents age

The variable n represents amount of money in dollars.

The variable n represents height in inches.

In each expression:

L. The variable n represents Jerry's time in seconds for the 100-yard dash. Lisa's time is n-5 seconds, indicating that Lisa runs 5 seconds faster than Jerry.

M. The variable n represents Pedro's father's age in years. Pedro's age is n + 3 years old, meaning Pedro is 3 years younger than his father.

N. The variable n represents Lucia's sister's amount of money in dollars. Lucia has n-10 dollars, indicating that Lucia has $10.00 less than her sister.

O. The variable n represents Jack's younger brother's height in inches. Jack is 2 times taller than his younger brother, so Jack's height is 2 times n inches.

Learn more about expression here:

https://brainly.com/question/28170201

#SPJ1

You work for a transportation engineer redesigning the parking lot at a small shopping center. The dimensions of the lot are shown below. What is the
area of the parking lot?
The area of the parking lot is
meters

Answers

The area of the parking lot, given the dimensions of the lot can be found to be 9, 600 meters ².

How to find the area of the parking lot ?

To find the area of the parking lot, you need to divide the given shape into smaller shapes such that the area of these shapes can be found.

The area of the top rectangle would be:

= Length x Width

= 100 x 40

= 4, 000 meters ²

The area of the other rectangle :

= 40 x 140

= 5, 600 meters ²

The area of the parking lot is:

= 4, 000 + 5, 600

= 9, 600 meters ²

Find out more on area at https://brainly.com/question/29177353

#SPJ1

i dont understand how this question works so therefeore i dont know how to do it, can anyone help?

Answers

is simply changing from percentage form to a decimal form usually, but the fractional form works the same.  Check the picture below.

Find the vertex f(x)=3(x-4)^2+9

Answers

Answer:

vertex = (4, 9 )

Step-by-step explanation:

the equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = 3(x - 4)² + 9 ← is in vertex form

with h = 4 and k = 9 , then

vertex = (4, 9 )

Scarlet is choosing photos for the cover of her summer vacation scrapbook. After narrowing down her favorite photos, she has 8 photos from her trip to Vancouver, 9 photos from her trip to Buffalo, and 14 photos from her trip to Miami. How many possible combinations of 1 photo from Vancouver, 1 photo from Buffalo, and 1 photo from Miami could she choose from for the cover of her scrapbook? A. 1,000 B. 31 C. 1,008 D. 994

Answers

The possible combinations of 1 photo from Vancouver, 1 photo from Buffalo, and 1 photo from Miami could she choose from for the cover of her scrapbook is option c  1,008.


To find the number of possible combinations for the cover of Scarlet's scrapbook, you can simply multiply the number of photos from each trip together.

So, there are 8 photos from Vancouver, 9 photos from Buffalo, and 14 photos from Miami. Multiply these numbers together to get the total number of combinations:

8 (Vancouver) × 9 (Buffalo) × 14 (Miami) = 1,008 possible combinations.

Scarlet has a range of choices for each city, and by considering the possibilities at each step and multiplying them together, we determine the total number of combinations. The multiplication principle is a fundamental concept in combinatorics, allowing us to calculate the number of outcomes for independent events.Therefore, the correct answer is C. 1,008.

Know more about   independent events   here:

https://brainly.com/question/27665211

#SPJ8

The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2: Suppose a sample of 283 suspected criminals is drawn. Of these people, 93 were captured. Using the data, construct the 85% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal places.

Answers

The 85% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list is (0.28, 0.38).

What is the confidence interval of the data?

Let's calculate the sample proportion;

Sample proportion = 93 / 283 = 0.33

The margin of error of the data can be calculated by;

Margin of error = Z * √(p(1-p) / n)

where:

Z is the z-score for the desired confidence level (in this case, 85%).p is the sample proportion (0.33).n is the sample size (283).

Margin of error = 1.96 * sqrt(0.33 * (1-0.33) / 283) = 0.05

The confidence interval can be calculated as

Confidence interval = 0.33 ± 0.05 = (0.28, 0.38)

Learn more on confidence interval here;

https://brainly.com/question/17097944

#SPJ1

QUICK WILL MARK BRAINLIEST

group of 40 students from your school is part of the audience for a TV game show. The total number of people in the audience is 150. What is the theoretical probability of students from your school being selected as contestants out of 9 possible contestant​ spots?
p(5 students selected) =

Answers

Answer:

A group of 40 students from your school is part of the audience for a TV game show. The total number of people in the audience is 140  is given below.

Step-by-step explanation:

In general, probably can be found as n(E)/n(S), where n(E) is the number of favorable outcomes, and n(S) is the number of total outcomes.

n(S) is the number of ways any 9 students can by picked from the audience, which is 9/140.

n(E) is the probability of picking four students from our school and five students from another school. This is (5/40)*(5/110) = 9/3300 =1/176

n(E)/n(S) = (1/176) / (9/140)

A line intersects the points
(8,-10) and (9, 4).
What is the slope of the line
m = [?]

Answers

Answer:

The slope of the line is 14.

Step-by-step explanation:

To find the slope of the line that intersects the points (8, -10) and (9, 4), we can use the slope formula:

m = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the coordinates (8, -10) as (x1, y1) and (9, 4) as (x2, y2), we can substitute the values into the slope formula:

m = (4 - (-10)) / (9 - 8)

= (4 + 10) / (9 - 8)

= 14 / 1

= 14

A valley is 94 feet below sea level. What is the absolute value of the elevation difference between the valley and the sea level?

Answers

The absolute value of the elevation difference between the valley and sea level is 94 feet.

What's the absolute value of the elevation difference between the valley and sea level?

In trying to determine the absolute value of a number, this implies we are only looking at it's magnitude without the sign to it.

In the problem given, the elevation difference between the valley and the sea level will 94ft.

Since we are going to neglect the negative sign in the elevation difference and considering only the magnitude of the distance, then the absolute value of the elevation is 94

Learn more on absolute value here;

https://brainly.com/question/24368848

#SPJ1

36^-3x+3=(1/216)^x+1

Answers

To solve the equation 36^(-3x + 3) = (1/216)^(x + 1), we can simplify both sides of the equation using the fact that 36 can be written as (6^2) and 216 can be written as (6^3):

(6^2)^(-3x + 3) = (1 / (6^3))^(x + 1)

Now we can simplify further:

6^(-6x + 6) = 6^(-3(x + 1))

In order for the bases to be equal, the exponents must be equal. Therefore:

-6x + 6 = -3(x + 1)

Now we can solve this equation for x:

-6x + 6 = -3x - 3

To isolate the variable x, we can simplify and solve:

-6x + 3x = -3 - 6

-3x = -9

Dividing both sides by -3:

x = -9 / -3

x = 3

Therefore, the solution to the equation is x = 3.

witch angle is adjacent to <6

Answers

Answer:

Step-by-step explanation:

Angles <5 and <1 are adjacent to <6.

Adjacent angles refer to those angles that share a common side and common vertex but at the same time, not overlap with each other. In this question , angle <6 is sharing a side and a common vertex  with <5 and <1 without overlapping each other. Therefore, we can say that the angles are adjacent to each other.

Similarly, if we were supposed to find the adjacent angles of <1, then, the adjacent angles would be angles <6 and <2, as they are sharing the same side and common vertex with that of <1, and are not overlapping each other.

To learn more about adjacent angles:

https://brainly.com/question/28394984

I have a hard riddle my little cousin has for her home work and I can’t figure it out for the life of me.

What number could I be?
I am less than 90.
If you add my digits, the total is less than 10, i am greater than 20.
My tens digit is greater than my ones digit.

Answers

The number that fits the given conditions is 83. Firstly, it is stated that the number is less than 90, which is true for 83. The number that solves the Riddle is 83.

The number that fits the given conditions is 83. Firstly, it is stated that the number is less than 90, which is true for 83. The next clue is that if you add the digits of the number, the total is less than 10. In the case of 83, 8 + 3 equals 11, which is indeed less than 10.

Moving on, the riddle mentions that the number is greater than 20. 83 satisfies this condition as well. Lastly, it is stated that the tens digit is greater than the ones digit. In the case of 83, the tens digit (8) is indeed greater than the ones digit (3).

Putting all the clues together, 83 fulfills the conditions of being less than 90, having a digit sum less than 10, being greater than 20, and having a tens digit greater than the ones digit.

Therefore, the number that solves the riddle is 83.

To know more about Riddle .

https://brainly.com/question/29500690

#SPJ8

PLS SOLVE 5 MINUTES MAXIMUM I HAVE LIMETED TIME (8.15 times 4 divided by 5) times 3.2

Answers

Answer: 20.864

Step-by-step explanation: 8.15 x 4 = 32.6 divided by 5 = 6.52 x 3.2 = 20.864

Hope this helps  : D

Answer:

38.4

Step-by-step explanation:

An airplane is traveling due east at a speed of 700mph. The wind is blowing at a speed of 80mph at an angle of 63° East of South.
Find the component form of the path the airplane will actually travel (Round to the nearest tenth). Then find the resultant vector magnitude (Round to the nearest tenth) and direction (Round to the nearest degree.

Answers

The component form of the path the airplane will actually travel is (635.2 mph, -42.3 mph), the resultant vector magnitude is approximately 639.5 mph, and the resultant vector direction is approximately -3.0°.

What is the component form of the path the airplane will actually travel?

To find the component form of the path the airplane will actually travel, we need to consider the effect of the wind on the airplane's motion.

Let's break down the airplane's velocity and the wind's velocity into their respective horizontal (x) and vertical (y) components.

Given:

Airplane's velocity = 700 mph due east

Wind's velocity = 80 mph at an angle of 63° East of South

The horizontal component of the airplane's velocity remains unchanged since it is traveling due east. Therefore, the horizontal component is 700 mph.

The wind's velocity can be resolved into its x and y components as follows:

Wind's horizontal component = wind's speed * cos(angle)

Wind's vertical component = wind's speed * sin(angle)

Wind's horizontal component = 80 mph * cos(63°)

Wind's vertical component = 80 mph * sin(63°)

Now, we can calculate the resultant vector of the airplane's motion by adding the horizontal components and the vertical components separately.

Resultant horizontal component = Airplane's horizontal component + Wind's horizontal component

Resultant vertical component = Airplane's vertical component + Wind's vertical component

Resultant horizontal component = 700 mph + (80 mph * cos(63°))

Resultant vertical component = 0 + (80 mph * sin(63°))

Next, we can express the resultant vector in component form:

Resultant vector = (Resultant horizontal component, Resultant vertical component)

To find the magnitude of the resultant vector, we can use the Pythagorean theorem:

Resultant magnitude = sqrt((Resultant horizontal component)^2 + (Resultant vertical component)^2)

Finally, we can find the direction of the resultant vector by calculating the angle it makes with the positive x-axis using the inverse tangent:

Resultant direction = tan⁻¹(Resultant vertical component / Resultant horizontal component)

Now, let's calculate the values:

Resultant horizontal component ≈ 635.2 mph

Resultant vertical component ≈ -42.3 mph

Resultant magnitude ≈ 639.5 mph

Resultant direction ≈ -3.0° (rounded to the nearest degree)

Learn more on resultant vector here;

https://brainly.com/question/110151

#SPJ1

(1) y - 11 = 4
(2) y = 2x + 3

Answers

Answer:

y = 15 , x = 6

Step-by-step explanation:

you can easily find y from first equation

Move y to the other side of the equation and reverse its sign

so (-11) changes to (+11) and now we have this equation

y = 15

now you must replace 15 instead of y in second equation ,then we have this equation

15 = 2x + 3

now we have to find x

move (+3) to other side of equation and reverse its sign

(+3) changes to (-3)

we have this equation now

15 - 3 = 2x

12 = 2x

x = 12 ÷ 2 = 6

Other Questions
You work for a beer company. Your boss wants to increase yearly sales by 5000 liters. To reach the target, she wants to increase the money the firm spends on advertising. She asks you to calculate the needed increase in advertising expenditure, denoted by the variable expenditure. You collect data on company sales and estimate the following model: Beer_cons =- 20.15 + 0.536*expenditure - 0.131*price + 0.210*hhincome where expenditure is measured in thousands of Euros and beer consumption is measured in hundreds of liters. Assuming the company maintains its price and the demographic composition of the market stays the same, by how much do you have to increase expenditure to meet the boss' target? Calculate the radius of investigation and the pressure at that radius when a well in the reservoir described below was tested for 110 hrs. 9 = 200 stb/d do = 1.0 cp Pi= 4000 psia k = 50 md B. = 1.2 rb/stb C = 7.0E-06 psi! 0 = 0.18 h = 150 ft rw = 0.5 ft control of _______ occurs in a region of the forebrain outside the cerebral cortex. 8% of all Americans live in poverty. If 36 Americans are randomly selected, find the following probabilities. Round answers to 4 decimal places. a. Probability that exactly 1 of them live in poverty. b. Probability that at most 2 of them live in poverty. c. Probability that at least 1 of them in poverty. d. Probability that between 3 and 7 (including 3 and 7 ) of them live in poverty. pls help ............. . Supply Chain Design Muslin Office Furniture manufactures a popular line of filing cabinets and has a very strong competitive position in its market. The company sells its product to a number of wholesale distributors who, in turn, sell to retail customers. In this environment, the company faces a demand curve of the following form Q=20-0.6P where P, denotes its selling price and Q/ denotes the volume (in thousands) sold at that price. Muslin also experiences increasing marginal costs of the form 0.801. (This means that its total cost is 0.8(01)2/2.) Increasing marginal costs occur because of quality losses and congestion on the shop floor as volume rises. One of Muslin's distributors is a subsidiary known as New England Supply. They represent Muslin's exclusive distributor in the northeast, and the parent company allows them to operate as an independent entity, focused on distribution. They buy filing cabinets from Muslin and sell them to retail customers in the northeast. In that market, New England Supply faces its own demand curve as follows Q-10-0.2P, where P2 denotes the retail selling price and Q2 denotes the volume (in thousands) sold in the northeast at that price. New England Supply incurs its own operating costs, in addition to the cost of purchasing the product from Muslin, so that its marginal cost function takes the form P,+ 0.402. This means that its total cost is P1Q2 +0.4(02)/2. (a) Suppose that Muslin Office Furniture and New England Supply each analyze their own pricing strategies separately. That is, Muslin finds its profit-maximizing price. Then New England Supply, whose cost is influenced by Muslin's price, maximizes its own profits. What is cach firm's optimal price and how much profit is eamed between the two companies? (b) Suppose instead that the two firms make coordinated decisions. In other words, they choose a pair of prices, one wholesale and one retail, aimed at maximizing the total profit between the two firms. What is each firm's optimal price in this coordinated environment? How much profit is earned between the two companies? What percent of the first 20 natural umbers are prime 1 digit numbers In the lending/borrowing process, a financial intermediaryfunction is to bear the risk that the borrower will not repay.Question content area bottomPart 1TrueFalse According to Peter Drucker, a management expert, effective communication is? agricultural productivity in the midwest increased in the late 1830s partly because of ASAP!!!Times almost up Coleton forms a three-asset portfolio consisting of $13,000 in T-Bills, $18,000 in Peyton stock, and $16,000 in Manning stock. If Peyton's beta is 0.59 and Manning's beta is 1.20, what is the beta of Coleton's overall portfolio? Keep 4 decimal places in intermediate steps and show 2 decimal places in your final answer. Abdulla buys used pairs of shoes for 20 dirhams each before reselling them. You can use a function () = 20 to describe the total amount Abdulla pays when buying x pairs of shoes.a) Is the function linear or exponential?b) Why do you say this? i need help with this question it is in my math finals! An international gold standard can be said to exist when which of the following hold?A. There is two-way convertibility between gold and national currencies at a stable ratio.B. Gold may be freely exported or imported.C. Private citizens may not own gold other than through currency.D. Gold alone is assured of unrestricted coinage. Solve the following system of equations using Gauss-Seidel. Include an approximate percentage error calculation and iterate 3 times x +11y - 5z =14 10x - y + 3z = 25 2x - y +13z = 29 For the first guess of the solution, take the value of x, y, z as 0 Check for diagonal dominance first during the interview an older adult client reports joint pain with movement. the client states, "but if i rest it, the pain gets better." what is the most likely cause of client's pain? in the united states, how many women choose to breastfeed their babies? If planned investment increases by $300, the change in equilibrium output will be greater than $300. An increase in planned investment will increase equilibrium income of those working on that investment project, thereby A. increasing their savings, and creating less income and less spending infinite times. B. decreasing their consumption, and creating less income and less spending multiple times. C. decreasing their investment, and creating more income and more spending infinite times. D. increasing their consumption, and creating more income and more spending multiple times over and over. regular physical activity has been found to be effective at relieving stress by