Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 3 + 4x3/2 R: rectangle with vertices (0, 0), (0, 5), (2, 5), (2, 0)

The value of x in degrees will be 6° and 11° using properties of parallel lines.

They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.

Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.

The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.

In the above figure,

8x + 7 = 55

8x  = 55 - 7

x = 6

Measure of the angle will be 8 × 6 + 7 = 49

In 11)

10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)

⇒x = 11

The value of x in degrees will be = 11° using properties of parallel lines.

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Answer:

40.9 ft

Step-by-step explanation:

The perimeter of any figure total length around the edges of a shape. In other words, it's the sum of all the outer side lengths in the shape.

Given the information above, we know the sides of 8, 10, 8.9, and 4. The missing side length (under the 10 ft one) is also 10 feet because bases of a rectangle are equal, making all the sides: 8, 10, 10, 8.9, and 4.

Now, we add up all the sides together.

Therefore, the answer is 40.9 feet.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

The value of g, for a  30-sided regular polygon has an angle measure represented as 6g° is calculated to be 28

The problem is solved using the formula for number of angles for n sided polygon

The formula is (n - 2)180

where n = number of sides

for 30-sided polygon the angles is solved as below

= (n - 2)180

= ( 30 - 2 ) * 180

= 28 * 180

= 5040

this is represented as 6g

each angle is measured 5040 / 30 = 168

6g = 168

g = 28

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Answer: 28

Step-by-step explanation: 168 is the whole polygon, so 6 times 28 is 168 therefore its correct, btw i also did the test

According to the information, the perimeter of the triangle is ≈ 31.18

To find the distance between two points, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's label the coordinates as follows:

Point 1: (-2, 3)

Point 2: (3, -2)

Now we can substitute these values into the distance formula:

distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)

distance = sqrt((5)^2 + (-5)^2)

distance = sqrt(25 + 25)

distance = sqrt(50)

distance ≈ 7.07

Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.

To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.

Using the distance formula, we can find the length of the sides:

Side 1: (-2,3) to (3,-2)

d = √[(3 - (-2))^2 + (-2 - 3)^2]

= √[5^2 + (-5)^2]

= √50

= 5√2

Side 2: (3,-2) to (-7,-2)

d = √[(-7 - 3)^2 + (-2 - (-2))^2]

= √[(-10)^2 + 0^2]

= 10

Side 3: (-7,-2) to (-2,3)

d = √[(-2 - (-7))^2 + (3 - (-2))^2]

= √[5^2 + 5^2]

= 5√2

Therefore, the perimeter of the triangle is:

5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)

An two of the three sides are equal, so it is an isosceles triangle.

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Answer:

Step-by-step explanation:

In this example predicted value is 87 and actual value is 100

Error is 100 - 87 = 13

Absolute error is same, |100 - 87| = 13

So the correct choice is the last one:

Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

Answer:

35

Step-by-step explanation:

Hope this helps

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Explanation:

There are currently 8,427 trees. Triple this value to get 3*8427 = 25,281

Add this result onto the previous number of trees to get 25,281+8,427 = 33,708

-----------

An alternative approach:

if we started off with x number of trees, and then added on three times as much, then we add on 3x more trees. This gets us x+3x = 4x trees total.

In this case, x = 8427, so that leads to 4*x = 4*8427 = 33,708

Answer:

Step-by-step explanation:

!od

7x=96

Answer:

The answer is D, 47.1.

Step-by-step explanation:

Circumference is the diameter multiplied by pi, 15 * 3.14 is 47.1, so your current choice is correct.

Answer:

x = 24/5

Step-by-step explanation:

Answer:  y-4 = 3(x - 5)

Step-by-step explanation:

The basic form for a point-slope equation is

y - b = m(x - a)

a is the x-value from the given coordinate,  b is the y-value form the given coordinate,  m is the slope. x and y are the variables in the function.

To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."

Given coordinate points: ​(4​,4​) and ​(5​,7​)   \(m=\frac{y-y_{1} } {x-x_{1 }}\) substitute values:

m= 7-4/5-4  becomes  m= 3/1   so the slope m = 3

To write the equation:  Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.

y - b = m(x - a)  Using the second coordinate: (5,7)

y - 7 = 3(x - 5)

The attachment shows the graph of this equation.

(The equivalent slope-intercept form for this is y = 3x - 8 )

Answer:

Y - 4 = 3(X - 4)

Step-by-step explanation:

Y2 - Y1 / X2 - X1 = M, 7 - 4 / 5 - 4 = M, 3 / 1 = M, M = 3

Y - Y1 = M(X - X1),  

Y - 4 = 3(X - 4),

Y - 4 = 3X - 12,

+4   +4

Y = 3X - 8

Answer:

1386

Step-by-step explanation:

V=πr²*h

V=22/7*7²*9

V=1386

Number of glass can serve is 48 glass

Given:

Number of drink mix package = 3

Quantity of each package = 64 oz

Number of lemonade bottle = 4

Quantity of each lemonade bottle = 48 oz

Quantity of each glass = 6 oz

Find:

Number of glass can serve

Computation:

Total quantity of mix drink = 3 × 64

Total quantity of mix drink = 192 oz

Total quantity of lemonade = 2 × 48

Total quantity of mix drink = 96 oz

Total drink = 192 + 96

Total drink = 288 oz

Number of glass can serve = Total drink / Quantity of each glass

Number of glass can serve = 288 / 6

Number of glass can serve = 48 glass

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The number in an expanded form is 700,000 + 182 + 0.009

The number is given as:

seven hundred thousand one hundred eighty-two and nine thousandths

Next, we split the numbers:

seven hundred thousand = 700,000

one hundred eighty-two = 182

and nine thousandths = 0.009

Next, we add the numbers

700,000 + 182 + 0.009

Hence, the number in an expanded form is 700,000 + 182 + 0.009

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Answer: 0.66 Feet

Step-by-step explanation: There are 2.54 centimeters in an inch and there are 12 inches in a foot.

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Answer:

10 ft above sea level

Step-by-step explanation:

20 below goes up by 30 then it would be -20 -10 0 10

Answer:

False

Step-by-step explanation:

A variable is not a like term with a constant because the constant lacks a varible.

Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation:

Answer: 27 x 1/3

Step-by-step explanation: 27/1 x 1/3 = 9 orchards per store

The number of orchards in each store will be 27 x (1/3). Then the correct option is A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

John manages 27 apple orchards in North Georgia. He wants to split the orchards into thirds so that he can open 3 local stores.

Then the number of orchards in each store will be

⇒ 27 / 3

Then the expression can be written as,

⇒ 27 x (1/3)

The number of orchards in each store will be 27 x (1/3). Then the correct option is A.

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The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

y=x²+2√3x+2 is the polynomial with the provided zeros.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Here,

y=(x+(1+√3))(x-(1-√3))

y=(x+1+√3)(x-1+√3)

y=x²+x+√3x-x-1-√3+√3x+√3+3

y=x²+2√3x+2

The polynomial with the given zeros is y=x²+2√3x+2.

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We have to evaluate the piecewise function for f(6). This means when x=6.

Now, we have to look at the conditions.

So when x≥0, we use the second function.

So 6>0, then, we use the second function.

Then:

Hence, the correct answer is option D.

The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

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Answer:

y=5/4x+5!

Step-by-step explanation:

Just a matter of replacing each of the letters with the proper part!  M is the slope and b is the y intercept.

Answer:

120

Step-by-step explanation:

Answer: 120

Hope that helped!(:

Solution:

The zeros of a polynomial function are the points at which the graph of the function cuts the x-axis.

Given the graph of the polynomial function as shown below:

Since the curve on the graph cuts the x-axis once, it implies that the graph has one zero.

The correct option is D.

Answer:

ge·om·e·try

/jēˈämətrē/

Learn to pronounce

noun

the branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.

a particular system of geometry.

plural noun: geometries

"non-Euclidean geometries"

the shape and relative arrangement of the parts of something.

"the geometry of spiders' webs"

Step-by-step explanation:

Answer:

\(\frac{3}{10}\)

Step-by-step explanation:

\(\frac{45}{150}\)  15 can go into both 45 and 150 so you divide both into that

45/15 is 3

150/15=10

\(\frac{3}{10}\)