Question 3 of 5 How many solutions does 6 + = -5 - Lo have? 31 10 ? O A. One solution O B. Infinitely many solutions O C. Two solutions O D. No solutions​

The average value of f(x, y) over the given region (I'll call it T) is

[tex]\dfrac{\displaystyle \iint_T f(x,y) \, dA}{\displaystyle \iint_T dA}[/tex]

In other words, it's the ratio of the integral of f(x, y) over the region to the area of the region.

The set T can be expressed as

[tex]T = \left\{(x,y) \,:\, 0\le x\le9 \text{ and } 0\le y\le -\dfrac29x+x\right\}[/tex]

Since it's a triangle, the denominator is easily computed to be

[tex]\displaystyle \iint_T dA = \frac12 \times 9 \times 2 = 9[/tex]

In the numerator, we have

[tex]\displaystyle \iint_T (10x+3y) \, dA = \int_0^9 \int_0^{-2x/9+2} (10x+3y) \, dy \, dx \\\\ = \int_0^9 \left(\frac32\left(-\frac{2x}9+2\right)^2+10x\left(-\frac{2x}9+2\right)\right) \, dx = 288[/tex]

and hence the average value is 288/9 = 32.

The approximate total volume of the two largest spheres on the Oriental Pearl Tower 113105.45 m³.

The volume of the sphere is calculated as follows:

volume = 4 / 3 πr³

where

The lower two larger spheres in the tower has a radius of 25 meters and 22.5 meters. Therefore, the total volume of the two largest sphere is as follows:

volume of lower sphere = 4 / 3 × 3.14 × 25³

volume of lower sphere = 196250 / 3

volume of lower sphere = 65416.6666667

volume of lower sphere = 65416.7 m³

volume of higher sphere = 4 / 3 × 3.14 × 22.5³

volume of higher sphere = 143066.25 / 3

volume of higher sphere = 47688.75

volume of higher sphere = 47688.8 m³

The approximate total volume = 65416.7 + 47688.8  = 113105.45 m³

learn more on sphere here: https://brainly.com/question/13833611

Answer:

To find the volume of a rectangular prism, multiply the length, width, and height. The unit for measuring the volume of a rectangular prism is cubic units, i.e., cm3, mm3, in3, m3, etc.

Step-by-step explanation:

hope it helps

Answer:

3/5

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

We can put an actual number to this just for easier purposes

So let's say there was 100 oranges at the grocery store

Mom brought home 1/4 which is 25 oranges

100 * [tex]\frac{1}{4}[/tex] = 25

So now we have 25 oranges

Then, Shyla ate 2/5 of the oranges

So we want 2/5 of the 25 left oranges

25 * [tex]\frac{2}{5}[/tex] = 10

And 10 out of 100 is:

1/10

The easier way to do it is to just multiply the fractions together:

[tex]\frac{1}{4} * \frac{2}{5} = \frac{2}{20} = \frac{1}{10}[/tex]

If you have any questions feel free to comment and if this helped a brainliest would be appreciated :)

Answer:

[tex]\displaystyle \frac{7}{37}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-49 + 35}{-56 - 18} = m \hookrightarrow \frac{-14}{-74} = m \\ \\ \boxed{\frac{7}{37} = m}[/tex]

I am joyous to assist you at any time.

a) The determination of the standard quota for the Dagonal district is 40.57%.

b) 1. The standard divisor is 267.19 (4,275/16).

2. The standard, lower, and upper quotas for the four districts are as follow:

                                North         South           East         West      

Standard quota     18.36%       26.32%     45.61%       9.71%

Lower quota             18%          26%            45%            9%

Upper quota             18%          26%            46%           10%

The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.

When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.

The standard divisor is calculated as the total population divided by the total number of seats.

The standard divisor gives the average number of people represented by a Board or seat member.

Data and Calculations:

Residents of Hamilton, NY = 73,465

Board Trustee Members = 12

                              Basel         Heights       Dagonal      Total

Population            13,244         30, 415        29,806    73,465

Proportion            18.03%        41.40%         40.57%      100%

Allocation of Board

Seats                         2                  5                 5               12

Number of seats = 16 seats

                              North         South         East         West      Total

Population               785           1,125         1,950        415       4,275

Proportion            18.36%       26.32%     45.61%       9.71%    100%

Allocation of Board

Seats                        3                 4                7              2          16

Learn more about the quota system at https://brainly.com/question/12105335

Answer:

A large university with over 40,000 students recently took a survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample …

✓ approximately Normal, because we would expect at least 10 success and 10 failures

Step-by-step explanation:

Answer:

$37.70

Step-by-step explanation:

56*.65

pls mark brainliest

Answer:

x = 15

Step-by-step explanation:

FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.

Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.

x + 8x + 3x = 180°

12x = 180°

12x/12 = 180/12

x = 15

Answer:

1800 in^3

Step-by-step explanation:

Using it's concept, it is found that the conic section has no x-intercepts.

A x-intercept of a function is given by the value of x when y = 0. On a graph, it is the value of x when the function crosses the x-axis.

In this problem, the conic section given in the graph does not cross the x-axis, hence it has no x-intercepts.

More can be learned about x-intercepts at https://brainly.com/question/24737967

Answer:

1) right angled triangle

2) isosceles triangle

3) equilateral triangle

4) scalen triangle

5) isosceles triangle

6) right angled triangle

Answer:

{ - 2 , 8 }

Step-by-step explanation:

[tex]log_{4}[/tex] ( x² - 6x ) = 2

4² = ( x² - 6x )

x² - 6x - 16 = 0

- 6 = - 8 + 2

- 16 = - 8 * 2

( x - 8 )( x + 2 ) = 0 ⇒ [tex]x_{1}[/tex] = - 2 , [tex]x_{2}[/tex] = 8

{ - 2 , 8 }

Answer:

She sold 5.775 kilograms of pears at the farmer's market.

Step-by-step explanation:

Let's first determine the information that the question gives us, and what we need to find.

Given:

The farmer sold 7.7 kilograms of apples and pears

1/4 of the weight is apples

The rest of the weight is pears

Find:

Kilograms of pears that the farmer sold

Start by finding the fraction of the whole weight that was pears...

[tex]1-\frac{1}{4}=\frac{4}{4}-\frac{1}{4}=\frac{3}{4}[/tex]

Now, find 3/4 of 7.7...

[tex]\frac{3}{4}(7.7)=\frac{23.1}{4}=5.775\ kg[/tex]

She sold 5.775 kilograms of pears at the farmer's market.

Answer:

The second option, 1,008 cm²

Step-by-step explanation:

   This shape has 5 sides to solve for with reguards to surface area.

   Let us solve for them all.

[1 & 2 - the triangles]

12 * 9 = 108 cm²

-> I am not going to divide since we have 2 congruent triangles

[3 - the bottom side]

25 * 12 = 300 cm²

[4 - the side facing away]

25 * 9 = 225 cm²

[5 - the side facing up]

25 * 15 = 375 cm²

   Now we will add them together for the total.

108 + 300 + 225 + 375 = 1,008 cm²

             The surface area for the triangular prism shown is 1,008 cm².

Answer:

Your answer would be:
C.) 1,350 cm2

Volume = 0.5 x b x h x length

0.5 x (25 x 12) x 9 =
0.5 x 300 x 9 =
= 1,350 cm2

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Step-by-step explanation:

3 ( p + 4 ) = 48

3p + 12 = 48

3p = 48 - 12

3p = 36

p = 36 ÷ 3

p = 12...

Answer:

A 1 PM

Step-by-step explanation:

Becasue it grows by an hour and a half each time

Answer: Easy. A. 1 pm.

.

Applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.

Tangent ratio is part of the Trigonometry ratios, which is expressed as, tan ∅ = opposite side / adjacent side in a right triangle.

The information given would form a right triangle, where:

Applying the tangent ratio, we would have:

tan 30 = 14/x

x = 14/tan 30

x = 24.2 ft.

Therefore, applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.

Learn more about tangent ratio on:

https://brainly.com/question/14169279

Answer:

see below for explanation:-

Step-by-step explanation:

#1

[tex] \displaystyle{ \frac{1}{ \sqrt{7} } }[/tex]

[tex]\displaystyle{ \frac{1}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{7} }{7} }[/tex]

#2

[tex]\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} }{( \sqrt{3} {)}^{2} - ( \sqrt{ 2 } {)}^{2} } }[/tex]

[tex]\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} ) }{3 - 2} }[/tex]

[tex]\displaystyle{2( \sqrt{3} + \sqrt{2} )}[/tex]

#3

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 2 \sqrt{18} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{ 9 + 2 \sqrt{9 \times 2} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 6 \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } \times \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{3 \sqrt{6} - 2 \sqrt{12} + 3 \sqrt{3} - 2 \sqrt{6} }{3( {3}^{2} - (2 \sqrt{2} {)}^{2} ) } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} - 4 \sqrt{3} + 3 \sqrt{3} }{3(9 - 8)} }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} - \sqrt{3} }{3} }[/tex]

Answer:

35

area of traingle b xh/2 5x4/2 - 10

area of square lxl - 5x5 -25

add- 35

Answer:

The answer would be 35.

Step-by-step explanation:

The area of the shape would be 35 square centimeters because if we divide the shape into 3 different shapes, a square on the bottom and 2 triangles at the top, we can multiply the square's length and width to get an area of 25. Next, we'll multiply the 2 triangles length of 4 with the width of 5 to get a total area of 20 from both of them, we'll then divide the area of 20 by 2 to get 10. Now add 20 and 10 to get 35.

Answer:

Length= 8, Width= 4

Step-by-step explanation:

Say the length is l, and the width is w.

We can set l, the length as 2w, as it is double the length.

The perimeter= 2l + 2w= 24

Input l as 2w, get

4w+2w=24

6w=24, w=4.

Length is w*2, so length is 8.

Answer:

∆QRS is a right triangle

Step-by-step explanation:

correct similarity statement is RST

Answer:

I think its B

Step-by-step explanation:

Edge 2022

Answer:

angles of triangle adds up to 180 degrees

[tex]~~~~~~ \stackrel{\textit{\Large 4.8\% semiannually}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &1 \end{cases}[/tex]

[tex]A=1000\left(1+\frac{0.048}{2}\right)^{2\cdot 1}\implies \boxed{A\approx 1048.58}~~\textit{\Large \checkmark} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\Large 4.7\% quarterly}}{\textit{Compound Interest Earned Amount}}[/tex]

[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 4.7\%\to \frac{4.7}{100}\dotfill &0.047\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &1 \end{cases} \\\\\\ A=1000\left(1+\frac{0.047}{4}\right)^{4\cdot 1}\implies \boxed{A\approx 1047.83}[/tex]

Answer:

42 degrees

Step-by-step explanation:

Complimentary angles are two angles whose total is equal to 90 degrees. Since we already know that Angle N measures at 48 degrees, all we have to do is subtract that from 90 degrees to find the measure of Angle I.

90 - 48 = 42

So, the measure of Angle I is 42 degrees! It's pretty easy finding complementary angles once you know how to. I hope this helps! Have a lovely day!! :)

(p.s. I do teaching textbooks too)

Answer:

Step-by-step explanation:

Complementary angles add up to 90°

∠I + ∠N = 90

∠I  + 48 = 90

    ∠I = 90 - 48

∠I = 42°

Answer:

A) x would be 21 if i interpreted it right

Step-by-step explanation:

4x - 11 = 73

i think anyways

4x = 73 + 11

4x = 84

x = 21

i d k  what B means?

To find the solutions to the quadratic equations

    ⇒ factor the equation

           [tex]x^2-2x = 8\\x^2-2x-8=0\\(x-4)(x+2) = 0[/tex]

Now to find the exact solutions, we have to set 'x - 4' and 'x + 2' equal to 0

     [tex]x - 4 = 0\\x = 4\\\\x + 2 = 0\\x = -2[/tex]

Thus the solution to this problem is -2 and 4

Hope that helps!

Answer:

4 and - 2

Step-by-step explanation:

x² - 2x = 8

x² - 2x - 8 = 0

x² + 2x - 4x - 8 = 0

x ( x + 2 ) - 4 ( x + 2 ) = 0

( x + 2 ) ( x - 4 ) = 0

x + 2 = 0

x = - 2

x - 4 = 0

x = 4

The values of x are - 2 and 4.