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The average value of f is 16.25.

A contour line of a function of two variables is a curve along which the function has a constant value, so that the curve joins points of equal value. It is a plane section of the three-dimensional graph of the function f parallel to the-plane.

Given that, a contour map is shown for a function f on the square R = [0, 8] [0, 8].

Since the given square is 8 by 8 and we are using m=n=2, then each sub-rectangle is 4 by 4. So, the area of the given rectangle is 64 and the area of each sub-rectangle is 16, that is, ΔA=16

Furthermore, the centers of the sub-rectangles are (2,2),(2,6),(6,2),(6,6).

a) The estimated value of [tex]\int\limits\int\limits_R f{x} \, dA[/tex]

=16⋅f(2,2)+16⋅f(2,6)+16⋅f(6,2)+16⋅f(6,6)

≈16⋅27+16⋅3+16⋅12+16⋅23

≈1040

b) The average value of f will be

[tex]f_{avg}=\frac{1}{A}.\int\limits\int\limits_R (x, y) \, dA[/tex]

≈ 1/64 ×1040

≈ 16.25

Therefore, the average value of f is 16.25.

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Answer:

[tex]a = - 25.5 \\ b = - 4 \\ c = 12 \\ d = - 8[/tex]

The graph of the given inequality y < 4x - 5 is attached below.

What is graph of inequality?

Treat the <, ≤, >, ≥ or sign as a = sign when putting an inequality on a graph. Graph the equation as a dotted line if the inequality is either < or >. Graph the equation as a solid line if the inequality is either ≤ or ≥.

A region on one side of a line can be used to graphically represent an inequality. For the purpose of indicating that a line is not a part of the region, inequality plots that use the < or > symbols have a dashed line. Plotting a solid line indicates that an inequality that uses the symbol

"≤ or ≥" is included in the region.

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Answer:

No.

Step-by-step explanation:

This is not statistical because a statistical question is a question that can be answered by collecting data that vary. Data pertains to numbers. Your question is not asking for numbers.

Answer:

3

Step-by-step explanation:

Answer: 571.11111...(Fraction: 9/28)

Step-by-step explanation:

5,140÷9 = 571.11111...

Therefore , as a result Two of a triangle's sides and the included  SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.

The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.

Here,

if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.

Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.

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If Goran invested his savings in two investment funds. The amount that Goran invest in Fund B, if the total profit from the two funds together was 500?

Amount Invested in Fund  A = x

Amount invested in Fund  B = x+7000

Profit from fund A = 0.04x

Profit from fund B = 0.02(x+7000)

0.04x +0.02(x+7000) = 500

0.04 +0.02x + 140 =500

Combine like terms

0.06 x =360

Divide both side by 0.06x

x = 360 /0.06

x = 6,000

Amount Invested in Fund A = x =6,000

Amount invested in Fund B = x+7000

Amount invested in Fund B = 6,000 + 7,000

Amount invested in Fund B = 13,000

Therefore the amount invested in Fund A 6,000 and the Fund B is 13,000.

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Answer:

14 cm

Step-by-step explanation:

The length of the line segment, LP is; 14 cm

From the task content, it follows that the diagonal LN of the Rhombus has length, 28 centimetres.

However, from the task content also, the point P is the point of intersection of the two diagonals.

On this note, it follows that P is the midpoint of line LN and the length of line LP is therefore;

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Answer:thats your answer

Step-by-step explanation:

Answer:

B. 23.8

Step-by-step explanation:

Use the formula c = \sqrt a^2+b^2﹣2abcosy (squareroot the whole thing)

c = length of side you are finding

a = length of side a

b = length of side b

y =angle opposite c

Answer: 5 Hours

Step-by-step explanation:

Divide 6600 by the amount per 1.5 hours.

6600 / 1980 = 3.333

Multiply the answer by the 1.5 hours.

1.5 x 3.333 = 5

Answer:

$0.10 per piece means $0.40 for 1 apple there are 12 in a dozen so multiply it by 12 which would be $4.80 for a dozen multiply again by 3

$14.40 for 3 dozen I'm pretty sure

Answer:

what's the question? I don't know

Answer:

5. F, G, L, and A are the vertices.

6. The answer is isosceles trapezoid.

If two obtuse angles are next to each other (100° and 100°) and followed by two acute angles next to each other as well ((80° and 80°), the shape is trapezoid. Trapezoid is quadrilateral shape that has a pair of parallel sides parallel. When angles on each of its base are equal, trapezoid is called isosceles trapezoid.

7. No. A trapezoid is a quadrilateral, and therefore must have an interior angle sum of 360 degrees.  Any obtuse angles must be offset by acute ones, unless they’re all right angles/it’s a rectangle.

91 + 91 + 91 + 91 = 364 > 360.

An obtuse angle always lies between 90° and 180°.

Step-by-step explanation:

Have a nice day!

Answer:

$980

Step-by-step explanation:

Step 1: Find [tex]\frac{1}{5}[/tex] of 2100 = 420

Step 2: Find [tex]\frac{1}{3}[/tex] of 2100 = 700

Step 3: Add both results together

[tex]420 + 700 = 1120[/tex]

Step 4: Subtract the result from how much joe earns ($2,100)

[tex]2100 - 1120 = 980[/tex]

Joe has $980 left

If Joe earned 2,100$ and He spent 1/5 on rent and 1/3 on food, Joe had $980 left after paying for rent and food.

Joe earned $2,100 and spent 1/5 of it on rent and 1/3 on food. To calculate the amount he spent on rent, we need to find 1/5 of $2,100, which is

(1/5) * $2,100 = $420.

Similarly, the amount he spent on food is found by calculating 1/3 of $2,100, which is (1/3) * $2,100 = $700.

To determine how much money Joe had left, we subtract the total amount he spent from his earnings. Adding the amounts spent on rent and food, we get $420 + $700 = $1,120.

To find the money Joe had left, we subtract the total spent from his earnings: $2,100 - $1,120 = $980.

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The percentage of the total marks that Edet gets is 60%

The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

In this situation, the score of Edet will be:

= 48 + 52 + 46 + 46 + 44 + 52

= 288

Total score = 80 × 6

= 480

The percentage will be:

= 288 / 480 × 100

= 60%

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Answer:

1.66

Step-by-step explanation:

Using the Chi square statistic (χ²) test :

χ² = Σ(Oi - Ei)² / Ei

Expected, Ei :

Freshmen = 30% * 300 = 90

Sophomore =24% * 300 = 72

Junior = 26% * 300 = 78

Senior = 20% * 300 = 60

Observed, Oi :

Freshmen = 83

Sophomore = 68

Junior = 85

Senior = 64

χ² = ((83 - 90)²/90) + ((68 - 72)²/72) + ((85 - 78)²/78) + (64 - 60)²/60)

χ² = 49/90 + 16/72 + 49/78 + 16/60

χ² = 0.544 + 0.222 + 0.628 + 0.267

χ² = 1.661

The test statistic = 1.66

Answer:

radian

Step-by-step explanation:

1/10 circle or degree The SI derived unit for angle is the radian. 1 radian is equal to 1.591549430919 or 1/10 circle, or 57.295779513082 degree.

36 deg

1/10 of a circle is equal to 36 deg.

Answer:

A. B is 1.194; It is a growth factor.

Step-by-step explanation:

I calculated it logically

Answer:

14

Step-by-step explanation:

5 quarts = 10 pints

10 pints + 4 pints = 14 pints

Answer:

it is

190850

it is the correct answer

Step-by-step explanation:

1,90,850 is your answer...

hope it helps

Answer:

tan =opposite divided by adjacent

therefore tan j is 11÷60 = 0.1833

tan-1 0.1833= 10.39

so tan j is 10.39

tan l is 60 ÷11 = 5.4545

tan-1 5. 4545= 79.61

hope it made sense

Answer:

wouldn't it be a 10/10 for probability just my thoughts

Answer:

r = 3.02 cm

Step-by-step explanation:

V cone = πr²h/3

r = √(3V/πh)

r = √(3(143.56)/π(15))

r = 3.0231297

Answer:

9 x 3.5 = 31.5 (area of rectangle now time for the trapezoid!)

Area of little square:

2 x 2 = 4

Area of two triangles:

2 x 2 = 4

4 divided by 2 = 2

5 x 2 = 10

10 divided by 2 = 5

The summed up area's of triangles:

5 + 2 = 7

7 + 4(little square's area)  = 11

11 + 31.5 = 42.5

Answer:

F=1.8C+32

113°F

Step-by-step explanation:

F=1.8C+32

F=1.8(45)+32

F=81+32

F=113

Answers:

==================================================

Explanation:

C = temperature in Celsius

1.8C = multiply C by 1.8

1.8C+32 = add on 32

The expression 1.8C+32 is the first part of the answer.

This represents the temperature in Fahrenheit.

----------

Now replace C with 45 and use the order of operations (PEMDAS) to simplify

1.8*C + 32

1.8*45 + 32

81 + 32

113

Therefore, 45 degrees Celsius converts to 113 degrees Fahrenheit.

Answer:

7.5

Step-by-step explanation:

Using pythagoras theorem

Sqrt(9^2-5^2)=7.483

Answer:

y=-5/6x-2

Step-by-step explanation:

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

m=(3-(-7))/(-6-6)

m=(3+7)/-12

m=10/-12

simplify

m=-5/6

y-y1=m(x-x1)

y-(-7)=-5/6(x-6)

y+7=-5/6x+30/6

y+7=-5/6x+5

y=-5/6x+5-7

y=-5/6x-2