I NEED THE ANSWER(ASAP)

The list below shows the allowance earned by eight of the students in Ms. Tomas's class. What is the mean allowance earned in Ms. Tomas's class?

$7, $12, $8.50, $ 10, $7, $8, $10.50, $11​

Answer:

120

Step-by-step explanation:

5 factorial

5 x 4 x 3 x 2 x 1 = 120

The consumer surplus is approximately $145.83.

To find the consumer surplus, we first need to find the demand function's inverse, which gives us the willingness to pay for each unit of the product. The demand function is:

D(x) = √(739 - 3x)

Setting D(x) equal to the equilibrium price of $25, we get:

25 = √(739 - 3x)

Squaring both sides, we get:

625 = 739 - 3x

Solving for x, we get:

So at a price of $25 per unit, the consumer is willing to buy 38 units per month.

Now we can calculate the consumer's surplus.

The consumer\(x = (739 - 625) / 3 = 38\) surplus is the difference between the total amount that consumers are willing to pay for a certain quantity of a good and the total amount they actually pay. In this case, the consumer's surplus can be calculated as:

\(CS = \int_0^{38} [D(x) - 25] dx\)

where D(x) is the demand function, and the integral is taken over the range of 0 to 38, which represents the quantity demanded at a price of $25 per unit.

Evaluating this integral, we get:

\(CS = \int_0^{38} [\sqrt{(739 - 3x)} - 25] dx\\\\= [1/6 (739 - 3x)^{(3/2)} - 25x]_0^{38}\\\\= \$ 145.83\)

Therefore, the consumer surplus is approximately $145.83.

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Using the formula of volume of a sphere and hemisphere, the volume of the figures are given as;

1. 2144.57 m³

2. 696.6 m³

3. 20569.1m³

4. 2637ft³

5. 56.5km³

6. 6381.79 in³

The volume of a sphere is given as 4/3πr³

Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.

1. The volume of the sphere is;

v = 4/3 * 3.14 * 8³ = 2144.57m³

2. The volume of the sphere is;

v = 4/3 * 3.14 * (11/2)³ = 696.6m³

3. The volume of the sphere is;

v = 4/3 * 3.14 * 17³ = 20569.1m³

4. The volume of the hemisphere is;

v = 2/3 * 3.14 * 10.8³ = 2637ft³

5. The volume of the hemisphere is;

v = 2/3 * 3.14 * 3³ = 56.5km³

6. The volume of the hemisphere is;

v = 2/3 * 3.14 * (29/2)³ = 6381.79in³

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Answer:

1

Step-by-step explanation:

The answer is actually just positive 1.

Absolute value is the direct opposite of a number with a positive value on a number line. However, the absolute value is always answered in a positive form of the number meaning that no matter what the number is (even if it's a positive number) the answer will always be that same number, but in positive form.

Remember, if a number is in between two of these " | " then the answer will be that same number but in positive form.

Hope this helps and have a nice day.

-R3TR0 Z3R0

Answer:

Step-by-step explanation:

The volume of a cylinder can be calculated using the formula: V_cylinder = π * r^2 * h_cylinder, where r is the radius and h_cylinder is the height of the cylinder.

Given that the diameter of both the cylinder and the cone is 8 inches, we can calculate the radius of the cylinder:

radius = diameter / 2 = 8 inches / 2 = 4 inches.

Plugging in the values, we get:

V_cylinder = 3.14 * (4 inches)^2 * 5 inches

= 3.14 * 16 square inches * 5 inches

= 3.14 * 80 cubic inches

= 251.2 cubic inches (approx.)

Now let's calculate the volume of the cone. The formula for the volume of a cone is: V_cone = (1/3) * π * r^2 * h_cone, where r is the radius and h_cone is the height of the cone.

Using the same radius as before (4 inches) and the given cone height of 15 inches, we can calculate:

V_cone = (1/3) * 3.14 * (4 inches)^2 * 15 inches

= (1/3) * 3.14 * 16 square inches * 15 inches

= (1/3) * 3.14 * 240 cubic inches

= 251.2 cubic inches (approx.)

Answer:

Area of the triangle = 31.25 yd²

Area of rectangle A = 50 yd²

Area of rectangle B = 48.75

Total Area of composite = 130 yd²

Step-by-step explanation:

✔️Area of the triangle = ½*b*h

b = 10 yd

h = 6.25 yd

Area of the triangle = ½*10*6.25 = 31.25 yd²

✔️Area of rectangle A = L*W

L = 10 yd

W = 7.5 - 2.5 = 5yd

Area of rectangle A = 10*5 = 50 yd²

✔️Area of rectangle B = L*W

L = 7.5 yd

W = 6.5 yd

Area of rectangle B = 7.5*6.5 = 48.75 yd²

✔️Total Area of Composite = 31.25 + 50 + 48.75 = 130 yd²

Answer: 53.1

Step-by-step explanation: Divide 35.40 by 2 to get 17.7. now add 35.40 with 17.7 and you get 53.1

This is the same as sqrt(27)

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

Explanation:

We use one of Vieta's formulas. Specifically, we'll focus on the quadratic case and we're multiplying the roots.

Consider the roots r1 and r2 for the general quadratic ax^2+bx+c = 0

According to one of Vieta's formulas, we would say that

r1*r2 = c/a

In this case,

So we know that

r1*r2 = c/a

r1*r2 = (-k^2)/3

Set this equal to the desired product of -9 and solve for k

r1*r2 = -9

(-k^2)/3 = -9

-k^2 = 3(-9)

-k^2 = -27

k^2 = 27

k = sqrt(27)

k = sqrt(9*3)

k = sqrt(9)*sqrt(3)

k = 3*sqrt(3)

The x-coordinates of the vertices of the hyperbola are 11 and -11

The hyperbola is given as:

\(\frac{x^2}{121} - \frac{y^2}{49} = 1\)

A hyperbola is represented as:

\(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\)

Where the coordinate of the vertex is:

Vertex = (±a, 0)

By comparing the above equations, we have:

\(a^2= 121\)

Take the square of both sides

a = 11

Substitute 11 for a in Vertex = (±a, 0)

Vertex = (±11, 0)

Hence, the x-coordinates of the vertices of the hyperbola are 11 and -11

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The maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.

A special kind οf relatiοn knοwn as a functiοn is οne in which each input has precisely οne οutput. In οther wοrds, the functiοn generates exactly οne value fοr each input value. Because οne is mapped tο twο different values, the abοve graph depicts a relatiοnship rather than a functiοn. Hοwever, if οne were instead mapped tο a single value, the relatiοnship mentiοned abοve wοuld becοme a functiοn.

Additiοnally, οutput values can be equal tο input values. We knοw that the square rοοt functiοn is an increasing functiοn, which means that the value οf the functiοn increases as the input value increases.

Therefοre, tο find the maximum value οf the functiοn, we need tο find the maximum value οf h.

Assuming that the lighthοuse is οn the hοrizοn, which is apprοximately 3 miles away, we can use the Pythagοrean theοrem tο find the height οf the lighthοuse:

\(h^2 = (3)^2 - (15)^2h^2 = 9 - 225h^2 = -216\)

Since we cannοt take the square rοοt οf a negative number, there is nο real height fοr the lighthοuse that wοuld make it visible frοm a ship 15 feet abοve the water level.

Therefοre, the maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.

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I believe that the answer is y=-2x +20. please correct me if I am wrong.

Below table represent a linear function that has an x intercept of -2 and a y intercept of 5-

x -2 0

y 0 5

Please see the attached graph.    

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx.

A linear function has one independent variable and one dependent variable.

x intercept of -2 (-2,0)

y intercept of 5 (0,5)

Hence, the answer will be the below table-

x -2 0

y 0 5

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Answer: D= 0.72

Step-by-step explanation: Because 0.18 times 4 is 0.72 miles.

Answer:

D. 0.72 miles

Step-by-step explanation:

Since David swam 4 times as far is Yvonne, he swam 4 times more than 0.18.  0.18 times 4 is 0.72.  If you want/need to do it in your head, just imagine 0.18 as 18, and that multiplied by 4 is 72.  then move the decimal point back over before the 7, to get your answer.  

Two of the other choices are clearly wrong because the actual answer is way less than the other choices (except for B).  One way to quickly figure out which two (or sometimes three) are wrong is by rounding 0.18 up to 0.2.  You can try this quickly because 0.2 is barely bigger than 0.18, and 0.2 is easy to multiply by 4.  The answer you would get from multiplying 0.2 is not exactly correct, but gives you a general idea.

As the degrees of freedom increase, the Chi-square distribution becomes less skewed.

Option C is the correct answer.

We have,

The Chi-square distribution is a probability distribution that is commonly used in statistics.

It is often used in hypothesis testing and in constructing confidence intervals for population variances.

The shape of the Chi-square distribution depends on the degrees of freedom (df). The degrees of freedom represent the number of independent pieces of information used to estimate a parameter or make an inference.

When the degrees of freedom are small, such as 1 or 2, the Chi-square distribution is highly skewed to the right.

This means that the distribution has a long tail on the right side and is concentrated toward the lower values.

However, as the degrees of freedom increase, the Chi-square distribution becomes less skewed.

The distribution becomes more symmetrical and approaches a bell shape, similar to the shape of a normal distribution. This means that the values are more evenly spread out and there is less concentration towards the lower values.

Therefore,

As the degrees of freedom increase, the Chi-square distribution becomes less skewed.

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Answer:

35m

Step-by-step explanation:

Triangle 1 has an 8:20 ratio which can be simplified to 2:5 ratio

so We can apply this to 14

(14/2) * 5

7 * 5

35 meters

-- Gage Millar Algebra 1/2 tutor

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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By answering the presented question, we may conclude that Therefore, 1  expressions cm on the map corresponds to a real distance of 3.2 km. 

In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

Scale 1:

320000 means that 1 unit on the map represents his 320000 units in the real world.

To find the actual distance represented by 1 cm on the map, you need to convert the units to the same scale.

1 kilometer = 100000 cm

So,

1 unit on the map = 320000 units in the real world

1 cm on the map = (1/100000) km in the real world

Multiplying both sides by 1 cm gives:

1 cm on the map = (1/100000) km * 320000

A simplification of this expression:

1 cm on the map = 3.2 km

Therefore, 1 cm on the map corresponds to a real distance of 3.2 km. 

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The value of ∠AKL and ∠AKC are both 45° each. The justification is that lines AK and KC both split the regular polygons BKLC (rectangle) and ABCD in two. The sum of angles in a right angle is 90°, hence half of that is 45°

A regular polygon is one that is two-dimensional and can be created at least three lines together.

Because, the sum of angles in a right angle is 90°, hence half of that is 45°. Therefore, the values of ∠AKL and ∠AKC are both 45° each.

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Answer:

The answer would be 12%

Step-by-step explanation:

250-220=30 and 30 is 12% of 250

Expressions are mathematical statements without the equation sign

The possible integer values of q, r, and z are 1, -5 and 8

The expressions are given as:

\(2x^{2} + zx - 10\)  (say eq. 1)

(x + q)(x + r)  

Both expressions are equal.

So, we have:

\(2x^{2} + z x - 10 = (x+q)(x+r)\)

we know that , roots of a quadratic equation (\(ax^{2} + bx + c = 0\)) are ,

\(m = \frac{-b + \sqrt{b^{2} - 4ac } }{2a} , n = \frac{-b - \sqrt{b^{2} - 4ac } }{2a}\)

on comparing \(ax^{2} + bx + c = 0\) with eq . 1 , we get

a = 2 , b = z , c = -10

Therefore , \(m = \frac{(-z) + \sqrt{}(z^{2} - 4.2.(-10) ) }{2.2} = \frac{-z + \sqrt{}z^{2} + 80 }{4}\),

                   \(n = \frac{(-z) - \sqrt{}(z^{2} - 4.2.(-10) ) }{2.2} = \frac{-z - \sqrt{}z^{2} + 80 }{4}\)

Now , we can express eq. 1 as ,

(x-m)(x-n)

By comparison, we have:

q = -m

r = -n

or

\(q = \frac{-z + \sqrt{}z^{2} + 80 }{4}\\r = \frac{-z - \sqrt{}z^{2} + 80 }{4}\)

Assume that q = 1.

So, we have:

\(1 = \frac{-z + \sqrt{}z^{2} + 80 }{4}\\or\\4 = -z + \sqrt{z^{2} + 80 } \\\)

Rearranging and Squaring both sides ,

\((z+4)^{2} = (\sqrt{z^{2} + 80 }) ^{2} \\z^{2} + 16 + 8z = z^{2} + 80\\8z = 64\)

This gives , z = 8

Substitute , z= 8 in r

So, we have:

\(r = \frac{-8 - \sqrt{8^{2} + 80 } }{4} = \frac{-8 - \sqrt{144} }{4} = \frac{-8 - 12}{4} = -5\)

Hence, the possible integer values of q, r, and z are 1, -5 and 8.

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Answer:

-2 or -2/1

Step-by-step explanation:

Take these two points and just do rise over run.

Answer: 102 dollars/4.5x+75

Step-by-step explanation: Your question isn't really straightforward, x x snacks for everybody to share? Please elaborate, and are they talking about the total cost, or just the cost of 6 snacks?

First, we have to take into account that if SADIE is taking her FOUR kids, there will be 5 people.

Cost of tickets is equal to $15 per one, and

5x (where x=15, per 5)

5(15)=75, and now onto the snacks

4.5x2=9, and 6/2=3, so 9x3=27, or 4.5x6=27

75+27=102

then for x snacks, if 1 snack costs 4.5 dollars than it'd be 4.5x (x number of snacks)+75 to find the total cost with tickets and all.

Answer and explanation:

An equation is a statement that indicates that two expressions are equal. The equals sign "=" is used to indicate that both sides of the equation are equal ie that expressions or values in both sides of the sign are equal.

We create an equation using the digits above :

8x6x5x4x2x1= 1920

From the above we observe that the expressions on the Left evaluate to 1920 equal to the value on the right 1920

Answer: 96 books

If 6 shelves have 48 books on them, this is one half of 12 shelves, because 6 is one half of 12 shelves.

There are 12 shelves. So, multiply 48 by 2.

48 x 2 = 96.

Answer to the question = 96

The total amount of that Harry will need for the project is nineteen and seven twentieth feet. option A

Wood 1:

Total = Length of each × Number of pieces

= 2 5/8 × 6

= 21/8 × 6

= 126 / 8

= 15 3/4 meters

Wood 2:

Total = Length of each × Number of pieces

= 1 1/5 × 3

= 6/5 × 3

= 18/5

= 3 3/5 meters

Total amount of wood needed for the project = 15 3/4 meters + 3 3/5 meters

= 126/8 + 18/5

= (630+144) / 40

= 774/40

= 19 14/40

= 19 7/20 meters

Therefore, the total amount of wood that Harry will need for the project is nineteen and seven twentieths feet. option A

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40 miles will he have after 85 minutes of driving .

Given :

austin is driving to san francisco, suppose that the distance to his destination in miles is a linear function of total driving time. has 67 miles to his destination after 49 minutes of driving . He has 47.5 miles to his destination after 75 minutes of driving .

slope = y2  - y1  / x2 - x1

m = 47.5 - 67 / 75 - 49

= -19.5 / 26

= -3/4

= -0.75

Use the point slope y - y1 = m(x - x1)

y - 67 = -.75 ( x - 49 )

y - 67 = -.75x + 36.75

y = -.75x + 36.75 + 67

y = -.75x + 103.75

x = 85

y = -.75(85) + 103.75

y = -63.75 + 103.75

y = 40 miles  

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Full question :

austin is driving to san francisco, suppose that the distance to his destnation in miles is a linear function of total driving time  has 67 miles to his destination after 49 minutes of driving . He has 47.5 miles to his destination after 75 minutes of driving . How many miles will he have after 85 minutes of driving ?

Answer:

32

Step-by-step explanation:

Because in one cup there are 4 fourths, so 8*4=32