a group of students were asked if they are in the math club and if they are in the literature club. Partial results are shown in the table. What is the value of x+y?

Answers

Answer 1

Hence Option A. 22 is correct.

How to solve

Of the students in the maths club , 67% are not in the literature club.

So the number of students in Maths club =

[ ( Number of students in maths club but not in the literature club) / 67 ] * 100 % = [ 16 / 67 ] * 100% = 24 (Rounded)

Hence, Number of students in maths club and in the literature club =

x = Total Number of students in Maths club - Number of students in maths club but not in the literature club

x = 24 - 16 = 8

Of the students not in the maths club , 78% are not in the in the literature club.

So, Of the students not in the maths club , 100% - 78% = 22% are in the literature club.

So the number of students not in the Maths club =

[ ( Number of students not in the maths club and in the literature club) / 22 ] * 100 %

= [ 4 / 22 ] * 100% = 18.18 = 18 (Rounded)

Hence, Number of students not in the maths club and not in the literature club =

y = Total Number of students not in the Maths club - Number of students not in the maths club and in the literature club

y = 18 - 4 = 14

So, x + y = 8 + 14 = 22.

Hence Option A. 22 is correct.


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A Group Of Students Were Asked If They Are In The Math Club And If They Are In The Literature Club. Partial

Related Questions

One positive integer is 2 less than twice another. The sum of their squares is 260 . Find the integers.

Answers

Hence, 8 and 14 are the two positive integers as Y must be 8 because we are seeking for positive integers.

what is integers ?

All entire numbers (optimistic, negative, and zero) as well as their opposites are included in the category of integers. These can be visualised as evenly spaced-apart points with zero in the middle on a number line. The following numbers are part of the set of integers, which is represented by the symbol Z . The numbers of pupils in an educational setting, the weather in degrees Celsius, or the location of an object in relation to a reference point are all examples of quantities that can be represented by integers and are counted or measured in whole units. They adhere to specific arithmetic laws and can be added, deducted, multiplied, and divided.

given

Assume that x and y are the two positive integers, with x being the greater of the two. Finally, we may convert the provided data into equations:

In order to remove x, we can replace the first equation with the second equation as follows:

[tex](2y-2)^2 + y^2 = 260[/tex]

Adding and subtracting:

[tex]4y^2 - 8y + 4 + y^2 = 260[/tex]

combining comparable phrases

[tex]5y^2 - 8y - 256 = 0[/tex]

Using the quadratic formula, we can solve this quadratic equation:

y = [8 ± sqrt(8^2 - 45(-256))] / (2*5)

y = [8 ± sqrt(3368)] / 10

y ≈ 8.6 or y ≈ -9.4

Y must be 8 because we are seeking for positive integers. The first equation can then be used to determine x:

x = 2y - 2 = 2(8) - 2 = 14

Hence, 8 and 14 are the two positive integers as Y must be 8 because we are seeking for positive integers.

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The data table shows the
numbers of eggs laid by
individual chickens in a year
What is the median number of
eggs laid in a year?
A. 231
B 229
C. 230
D. 234.6

Answers

The median number of eggs laid in a year is 231 from the given data, option A is correct.

The data table shows the numbers of eggs laid by individual chickens in a year.

Now, We can arrange it into ascending order as;

⇒ 222, 229, 229, 231, 234, 235, 262

Since, There are 7 terms

Hence, Median = (7 + 1)/2

= 4th term

= 231

Hence, the median number of eggs laid in a year is 231, option A is correct.

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Find the missing angle:

Answers

36.

Right angle = 90

90 - 54 = 36.

If you want get 60000 in 8 years how much do you need to deposit in the bank today if the account pays an interest rate of 9%

Answers

Answer:

FV = PV x (1 + r)^n

where:

FV = future value

PV = present value (the amount to be deposited today)

r = interest rate per period (in this case, per year)

n = number of periods (in this case, 8 years)

Plugging in the given values, we get:

$60,000 = PV x (1 + 0.09)^8

Simplifying this equation:

PV = $60,000 / (1 + 0.09)^8

PV = $60,000 / 1.999^8

PV = $60,000 / 3.058

PV = $19,602.68

Therefore, the amount that needs to be deposited in the bank today to accumulate $60,000 in 8 years with an interest rate of 9% is $19,602.68.

I hope this helps.

Each container holds 3 L 456 mL of water. How much water is in 206 identical containers?

Answers

Answer:

711 L 936 mL

Step-by-step explanation:

3 L 456 ml times 206=711L 936mL

I hope this helps

Two similar cones have surface areas of 1883 square meters and 7532 square meters, respectively. If the height of the smaller cone is 36 meters, what is the height of the larger cone?

Answers

The height of the larger cone is 71.13 meters

What is the height of the larger cone?

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

Two similar cones have surface areas of 1883 square meters and 7532 square meters. Height of the smaller cone is 36 meters

Using the above as a guide, we have the following:

Scale factor = h1/h2

So, we have

h1/h2 = √(1883/7352)

substitute the known values in the above equation, so, we have the following representation

36/h2 = √(1883/7352)

So, we have

h2 = 36 * √(7352/1883)

Evaluate

h2 = 71.13

Hence, teh height is 71.13

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HELPPPP PLS ILL GVIE BRAINLY 30 POINTS

Answers

the yellow highlighted are the correct answers :)

Please help me i am so confused

Answers

The interval that will have the highest frequency will be: C. 11 - 15.

Which interval will have the highest frequency?

The interval that will have the highest frequency will be 11 - 15. This interval will have the highest frequency because there are a total of 6 sales within this range.

The other intervals have sales that are 5 and below. So, since this interval has up to 6 sales, it can be regarded as the interval with the highest frequency. Frequency refers to how often something occurs. When an outcome happens several times, then we can refer to it as the highest frequency.

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what is the value of RP

Answers

The calculated value of the length RP is 107 units

Calculating the value of the length RP

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

The circles and the tangent lines

Start by calculating the segment PQ using the following Pythagoras theorem

PQ² = (50 + 11)² + 11²

Evaluate

PQ² = 3842

So, we have

PQ = 62

The value of the length RP is then calculated as

RP = PQ + TU

So, we hav

RP = 62 + 45

Evaluate

RP = 107

Hence, the value of the length RP is 107 units


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Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Click twice to plot each segment.
Click a segment to delete it.
-10 -9 -8 -9 -6 -5 -4 -3
Slope of the Line:
-2
y
9
GO
5
St
3
N
M
24
RZ
-3
In
VS
09
F
2 3
Submit Answer
4
5 6 7 8 9
10
X
attempt 1 out of 2

Answers

Answer:

Step-by-step explanation:

HELP QUICK!
The owners of the pet sitting business have set aside $96 to purchase chewy toys for dogs, x, and collars for the cats, y. They are pricing the items at two different stores and wondering if there are any combinations of these items that could be purchased at both stores for the same price.



Marco’s Market: The price of a chewy toy for dogs is $2 while the price of a cat collar is $8.

Sonia’s Superstore: The price of a chewy toy for dogs is $4 and the price of a cat collar is $4.



Create an equation to represent the quantities of each item that can be purchased at each store. Then, graph the equations on the coordinate axes with proper labels and scale. Use the graph to find the combination of chewy toys for dogs and cat collars for cats that adds up to the same amount and price at both stores.

Answers

Answer:Let's assume that the number of chewy toys for dogs purchased at Marco's Market is represented by x, and the number of cat collars purchased at Marco's Market is represented by y. Similarly, let's assume that the number of chewy toys for dogs purchased at Sonia's Superstore is represented by a, and the number of cat collars purchased at Sonia's Superstore is represented by b.

The total cost of chewy toys for dogs and cat collars at Marco's Market is given by:

2x + 8y

The total cost of chewy toys for dogs and cat collars at Sonia's Superstore is given by:

4a + 4b

We want to find values of x, y, a, and b such that:

2x + 8y = 4a + 4b

Simplifying the equation, we get:

x + 4y = 2a + b

We also know that the total amount set aside for the purchases is $96. Therefore, we have:

2x + 8y + 4a + 4b = 96

Simplifying the equation, we get:

x + 4y + 2a + b = 48

Now, we can plot the graph of the equation:

x + 4y = 2a + b

To plot the graph, we can rearrange the equation as follows:

4y - b = 2a - x

y = (2a - x + b)/4

We can choose values of x and b, and then calculate the corresponding values of y and a using the equation. For example, let's choose x = 0 and b = 8. Then, we have:

y = (2a - 0 + 8)/4 = (2a + 8)/4 = 0.5a + 2

Similarly, we can choose other values of x and b, and calculate the corresponding values of y and a. We can then plot the points on the graph and join them to get the line representing the equation.

Here is the graph:

Graph

To find the combination of chewy toys for dogs and cat collars for cats that adds up to the same amount and price at both stores, we need to find the point where the line intersects the line representing the equation of the total cost:

x + 4y + 2a + b = 48

We can find this point by solving the two equations simultaneously. However, we can also use the graph to estimate the point. From the graph, we can see that the point of intersection is approximately (12, 6). This means that we can purchase 12 chewy toys for dogs and 6 cat collars at Marco's Market, and 4 chewy toys for dogs and 10 cat collars at Sonia's Superstore, and the total cost would be $48 at both stores.

Step-by-step explanation:

solve 2,401=7^6-2x
x=

Answers

The solution to the equation 2,401 = 7⁶⁻²ˣ is x ≈ 1.4076.

Define logarithm

In mathematics, a logarithm is the inverse operation to exponentiation. Given a base b and a positive number y, the logarithm of y with respect to the base b is the exponent to which b must be raised to yield y. In other words, if x is the logarithm of y with respect to base b, then bˣ = y.

We can begin solving this equation by isolating the exponential term on one side of the equation and taking the logarithm of both sides.

2,401 = 7⁶⁻²ˣ

Taking the logarithm base 7 of both sides:

log₇(2,401) = log₇(7⁶⁻²ˣ )

Using the property of logarithms that states that log base a (aᵇ) = b, we can simplify the right-hand side of the equation:

log₇(2,401) = (6-2x)log₇(7)

Since log₇(7) = 1, we can further simplify:

log₇(2,401) = 6-2x

-2x = log₇(2,401) - 6

x = (6 - log₇(2,401))/2

Using a calculator, we find:

x ≈ 1.4076

Therefore, the solution to the equation 2,401 = 7⁶⁻²ˣ  is x ≈ 1.4076.

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Find the surface area of the composite solid to the nearest hundredth.
3 ft.
4 ft
2 ft
The surface area is about
square feet.

Answers

snip, that's wrong nvm (not sure how to delete)

NEED HELP ASAP PLS AND THX PIX IS ATTACHED

Answers

Sin A Cos A, and Tan A can be found respectively as follows:

1. 41.81°.

2. 44.19 degrees

2. 60 degrees

How to find the angles

The angles can be found by following the rules for right-angled triangles. This can be achieved in the following ways:

1. sin A= opposite/hypotenuse

sin A = 6/9

Now we take the sine inverse:

sin^-1(6/9)

=  41.81°.

2. Cos 45° = Adjacent/hypotenuse

= cos 45° = x/4

x = cos 45° × 4

= 0.707 × 4

= 2.82

cos A = b2 + c2 – a2 ÷ 2bc

2.8² + 4² - a² ÷ 2×2.8×4

23.84 - 2.8² ÷ 22.4

23.84 - 7.84 ÷ 22.4

Cos A = 0.7142

= 44.19 degrees

3. tan A = Opposite/Adjacent

tan 60°  = 4/x

x = 4/tan 60°

x = 4/1.732

= 2.309

Tan A = 4/2.309

= 1.732

= 60 degrees

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There is a straight road between town 4 and town B of length 130 km. Maxi travels from town 4 to town B. Pippa travels from town B to town A. Both travel at a constant speed of 40 km/h. Maxi leaves 30 minutes before Pippa. Work out how far from town A they will be when they pass each other​

Answers

The distance from town A that they will be,  when they will pass each other is  44 4/9 .

How can the distance be calculated?

It should be noted that time traveled in each segment is constant, which implies that in this case the average speed can be regarded as the simple mean of speeds. An in the case whereby the distance traveled in each segment is constant, average speed can be described to be the reciprocal of simple mean .

This can be expressed mathematically as

Average speed = Reciprocal [ 1/40 & 1/50].

Average speed = Reciprocal of (1/40 + 1/50)/2

= Reciprocal of [(5+4)/400]

= 44 4/9 .

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What type of conic section is formed when a right, circular cone is intersected by a plane that is parallel to the base of the cone?

Answers

The conic section that is formed when a right, circular cone is intersected by a plane that is parallel to the base of the cone is a circle

Determining type of conic section formed

The summary statement from the question is given as

A plane parallel to the base of a circular cone that intersects the cone.

By definition, a circle is the cross-section that is parallel to the base of a cone

This means that when a cone is cut through the base, the resulting shape is a circle

So, the conic section that is formed when a right, circular cone is intersected by a plane that is parallel to the base of the cone is a circle

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College Level Trigonometry Question Any Help will do

Answers

The expression of angle in radian is -0.071.

What is the measure of angles in radian?

Angles can be measured in two units: degrees and radians.

Radian is a unit of measurement for angles, and it is defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle.

To be more precise, an angle of one radian is defined as the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle.

The expression of angle in radian is calculated as follows;

θ = tan⁻¹ (-0.071)

θ = -0.071

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Pls pls someone one help me with this

Answers

Answer:

Triangle A = scalene

Triangle B = scalene

Triangle C = equilateral

Step-by-step explanation:

scalene triangle = all lengths are different

isosceles triangle = 2 side lengths are the same

equilateral triangle = all 3 side lengths are the same

triangle A: scalene - all sides are different
triangle B: scalene - all sides are different
triangle C: equilateral - all sides are equal
(isoceles is when two sides are equal. the way i remember is “i saw celine two times”)

Suppose that you were 24 inches long at birth and 4 feet tall on your tenth birthday. Based on these two data points, create a linear equation for the function that describes how height varies with age. Use the equation to predict the height at age 9 and 31

Answers

An equation for this linear function that describes how height varies with age is y = 1/5(x) + 2.

The predicted height at 9 is 3.8 feet.

The predicted height at 31 is 8.2 feet.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

Conversion:

1 feet = 12 inches

24 inches = 24/12 = 2 feet.

Next, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 - 2)/(10 - 0)

Slope (m) = 2/10

Slope (m) = 1/5

At data point (0, 2) and a slope of 1/5, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 2 = 1/5(x - 0)  

y = 1/5(x) + 2

When x = 9, the predicted height is given by;

y = 1/5(9) + 2

y = 3.8 feet.

When x = 31, the predicted height is given by;

y = 1/5(31) + 2

y = 8.2 feet.

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The average score of 22 students on a math online quiz is 86.3 with a standard deviation of 7.2. The average population score is 83.5. What is the
t-value?

Answers

Based the provided information, the t-value is approximately 1.824.

How do we determine the t-value?

We shall work out the t-value by calculating the difference between the sample mean and the population mean, divided by the standard error of the mean.

We shall use the t-test formula to calculate the t-value:

t = (sample mean - population mean) / (sample standard deviation / [tex]\sqrt(sample size)[/tex])

where:

sample mean = 86.3

population mean = 83.5

sample standard deviation = 7.2

sample size = 22

Plugging in these values, we have:

t = (86.3 - 83.5) / (7.2 / √22)

t = 2.8 / (7.2 / 4.69)

t = 2.8 / 1.535

t ≈ 1.824

Therefore, the t-value is approximately 1.824.

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If the prism on top of the figure was 4 inches tall instead of 3 inches tall, what would be
the difference between the volume of the original prism on top and the new prism on
top?

Answers

Answer:

L * W

Step-by-step explanation:

To find the difference in volume between the original prism and the new prism, we need to calculate the volume of each prism and then subtract the volumes.

Let's assume the base of the prism is a rectangle with length L, width W, and height H.

The volume of a prism is given by V = L * W * H.

Original Prism:

Height = 3 inches

Volume = L * W * 3

New Prism:

Height = 4 inches

Volume = L * W * 4

The difference in volume between the original prism and the new prism is:

New Prism Volume - Original Prism Volume = (L * W * 4) - (L * W * 3)

= L * W * (4 - 3)

= L * W

Therefore, the difference in volume is L * W.

Since we do not have specific dimensions or values for L and W, we cannot calculate the exact difference in volume. We would need additional information to determine the values of L and W or their relationship to find the difference in volume.

8 = -4 + v
v = what does v equal ​

Answers

Hey!
Answer is v = 12
Below is the explanation.

Type the correct answer in each box.
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of its square base. Nathan
uses the formula for the volume of a pyramid to determine the dimensions of the sculpture
V= }ah
Here, a is the side length of the pyramid's square base and h is its height.
If 162 cubic centimeters of clay were used to make the sculpture, the equation x? +
= O can be used to find that the length of
the sculpture's base is
centimeters.

Answers

The sculpture's base length = 9 cm and the height of sculpture is found as 6 cm.

Explain about the pyramid:

The base and apex are joined to form a pyramid. To identify them from the base, the triangular sides are also also referred to as lateral faces. In a pyramid, the apex, which creates the triangle face, is connected to each base edge.

volume of a pyramid = V=1/3 a²h Given volume V = 162 cm³Let 'x' be the side length.Then , (x - 3)  be the height of sculpture.

Put the values and find the length.

162 = 1/3 (x)² (x-3)

162 * (3) =  (x)² (x-3)

486 = x²(x-3)

486 = x³ - 3x²

x³ - 3x² - 486 = 0

(use a graphing tool or calculator equation mode).

x = 9

Thus,

side length of sculpture = 9 cm

height of sculpture = 9 - 3   = 6cm

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Correct question:

Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length,x,of its square base. Nathan uses the formula for the volume of a pyramid to determine the dimesnsioms of the sculpture.

V=1/3 a^2h

Here, a is the side length of the pyramids square base and h is it’s height.

If 162 cubic centimeters of clay were used to make the sculpture, the equation x^3 + _x^2+ _ =0 can be used to find that the length of the sculptures.  base is _ centimeters.

Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

Answers

The surface area of the triangular prism is 1740cm²

What is surface area?

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a prism is expressed as;

SA = 2B + ph

where B is the base area

p is the perimeter of the base

h is the height of the prism.

Base area = 1/2 bh

= 1/2 × 10 × 24

= 24×5

= 120 cm²

The perimeter of the base = 24+10+26

= 60cm

height = 25 cm

Therefore the surface area of the prism is

SA = 2 × 120 + 60 × 25

SA = 240+ 1500

SA = 1740 cm²

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Solve the inequality and graph the solution on the line provided.
> ≤ ≥ or
Inequality Notation:
Number Line:
-12 -10
4x + 45 57
-4-2 0 24
Click and drag to plot line.
6
10 12

Answers

The solution of the given inequality is x ≤ 13/4

Since Inequality can be defined as the relation which makes a non-equal comparison between two given functions.

We are given the Inequality  as;

4x + 45 ≤ 57

Solving;

4x + 45 ≤ 57

4x ≤ 57 - 45

4x  ≤ 13

x ≤ 13/4

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PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!

Answers

A. Area of the rectangle, in standard form is: 14x² + 19x - 3

B. The degree of a polynomial is: 4. It has 4 terms (4x², 3y, -6x^4y, and 4.); C ALWAYS result in another polynomial.

What is a Polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients that involves only the operations of addition, subtraction, and multiplication of non-negative integer exponents.

Part A:

Area of the rectangle = (7x - 1)(2x + 3) = 7x(2x + 3) -1(2x + 3)

= 14x² + 21x - 2x - 3

Combine like terms:

Area of the rectangle = 14x² + 19x - 3 (standard form)

Part B: Given the expression, 4x² + 3y - 6x^4y + 4,

The degree of a polynomial is the highest exponent of its variable.

Therefore, the degree is 4.

It has 4 terms, which are: 4x², 3y, -6x^4y, and 4.

Part C: When two polynomials are subtracted, multiplied, or added, it will ALWAYS result in another polynomial.

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SOLVE THE FOLLOWING INEQUALITY: x^3-5x^2+10 > 0

Answers

________________________________

x³ - 5x² + 10 > 0 = x³ - 5x² + 10 = 0= x² - 5x² + 10 - 10 = 0 - 10= x² - 5x² = - 10 = x² - 5x² = - 4x² - 4x² = - 10= - 4x² = - 10 = - 4x² / - 4 = - 10 / - 4x² = 5 / 2 x = √ 5 / 2

________________________________

A supermarket sells fruit snacks by the box. AEach box holds x pachages of strawberry snacks and y packages of cherry snacks. Nina bought 6 boxes.

Write two expressions for home many more strawberry packages than cherry packages nina bought. Then write what the few expressions being equivalent mean in terms of the situation

Answers

The two equivalent expressions are 6(x − y) and 6x − 6y.

What are the equivalent expressions?

These expressions look different but their simplified forms are same expressions are called equivalent expressions.

The 1st expression shows subtracting the number of packages of cherry snacks from the number of packages of strawberry snacks in each box.

When we multiplying the difference by the number of boxes then, it will be: 6(x-y)

Now, total number of cherry snacks and subtracting it from the total number of strawberry snacks will be 6x - 6y. So, equivalent expressions means in terms of situation are 6(x − y) and 6x − 6y.

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What is the equation of the line that passes through the point ( 4 , 0 ) and has a slope of − 2?

Answers

Step-by-step explanation:

y=m(x-x1)+y1

y=-2(x-4)+0

y=2x-8+0

y=2x-8

A 360-ounce bag of rice has a serving size of 7 ounces on its label. How many full servings does the bag contain?

Answers

51 full servings, 360/7= 51.429
Other Questions
The title of Carro's article is "Sneaker Nation. " What does this title mean? What factorscontributed to the U. S. Becoming a "sneaker nation"? A 35. 0 L sample of gas at 45. 0 C is cooled to 12. 0 C what is the final volume of the gas? Consider the following reaction:4 NH3 + 3 O2 2 N2 + 6 H2OIf the rate of formation of N2 is 2.00 mol L-1 s-1, the rate at which NH3 reacts is: Why are there so many concerns about the decline of Malay and Indonesian language? Read the following summary:A young student in a tough neighborhood is giftedintellectually but must shun the dangerous streets of hisneighborhood in order to achieve academically. Thisresults in his being lonely throughout school. He goes tocollege, but his social life has suffered, and he has fewfriends from his own neighborhood. Based on this passage, a reader is most likely to come to what conclusionabout the story's themes? Early environmentalists supported cultivating renewable resources, the education of future generations, and the preservation of natural habitats.ANO CHANGEBwho supported the cultivation of renewable resources,Care supporters of cultivation of renewable resources,Dsupported the cultivation of renewable resources, A Vendetta Questions What impression does the description of the town and its surroundings give the reader? Quote small pieces from paragraph 1 or 2 as part of your explanation. Solve the following problem with Excel Solver: (Leave no cells blank - be certain to enter "O" whereverrequired. Round your answers to 2 decimal places.)Minimize Z = 9A + 3B.3A + 11B 1293A + 4B 122B 16 Alexandra likes to skate at a game store that is due south of her school and due west of herfavorite skate park. If the game store is 7.3 kilometers from her school and the straight-linedistance between the school and the skate park is 8.7 kilometers, how far is the game storefrom the skate park? If necessary, round to the nearest tenth. please help with this photo problemand describe the resulting transformation Of the 90 people who attended BayBridge Middle School Winter formal, 18 are not students at baybridge Fill in the grid Developing a team-orientated performance evaluation system and using the information to provide feedback is NOT an important way to improve team operation. a True b False The graph shows the total weight of a fish tank, y, as a function of the amount of water in the tank, xWhat is the weight of an empty tank? What's the theoretical yield of oxygen from the oxides present in 1. 00 kg sample of lunar soil? Which of these are part of theEarth's lithosphere?O cloudsO glaciersO mountainsO water vapor The function R = 73. 3*/M3, known as Kielber's law, relates the basal metabolic rate R In Calories per dayburned and the body mass M of a mammal In kilograms. a. Find the basal metabolic rate for a 180 kilogram lion. Then find the formula's prediction for a 80kilogram human. If necessary round down to the nearest 50 Calories. b. Use your metabolic rate result for the lion to find what the basal metabolic rate for a 80 kllogramhuman would be if metabolic rate and mass were directly proportional. Compare the result to the resultfrom part a. a. Kleiber's law for lionCaloriesKleiber's law for humansCaloriesb. If metabolic rate and mass were directly proportionalCaloriesIf the metabolic rate were directly proportional to mass, then the rate for a human would be(select)than the actual prediction from Kleiber's law. Kleiber's law Indicates that smallerorganisms have a (select) v metabolic rate per kilogram of mass than do larger organisms. HELP FAST PLEASEEEQuestion down below Patrick buys a tissue box in the shape of a cube. how many cubic centimeters of space do the tissues occupy if the box it half full How much heat in calories is needed to raise the temp of 125. 0g of lead (Clead=0. 130J / g Celsius) from 17. 5 Celsius to 41. Q Celsius In at least 150 words, analyze the relationships of users and participants in marketing research projects Examine each group that makes up the structure of the marketing research industry Describe a group in detail and explain its relationship to other groups within the structure