An ice cream cone has a height of 12 centimeters and a radius of 3 centimeters. How many centimeters of cubic ice cream will it take to fill the cone so the ice create is level with the top of the cone?

Answer:

2. 0.2x

Step-by-step explanation:

Using factors, K has a value of -7.

A divisor of an integer n, also known as a factor of n, is an integer m that may be multiplied by another integer to create n. In this case, it is also possible to assert that n is a multiple of m.

Given,

f(x) = 3x³ + kx- 10

Given factor of the equation is (x - 2)

Let us assume:

x - 2 = 0

x = 2

Since, x-2 is a factor of f(x)

∴ By factor theorem

f(2) = 0

3(2)³ + k(2) - 10 = 0

3(8) + 2k - 10 = 0

24 + 2k - 10 = 0

14 + 2k = 0

2k = -14

k = -14/2

k = -7

Hence, The value of k is -7

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The number of different social security numbers that can be formed is 3628800.

Given that :

A social security number contains nine digits, such as 914-47-2245.

There are digits 0,1,2,....,9.

So there are 10 numbers in total.

So we can select 9 numbers from a total of 10 numbers.

Using permutation, total numbers is :

P(10, 9) = 10! / (10 - 9)!

            = 10!

            = 3628800

Hence the total number of security numbers that can be formed is 3628800.

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Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

The given categorical propositions and their forms are as follows:

(1) Some cats like turkey - Form: I:

Subject class: Cats,

Predicate class: Turkey

(2) There are burglars coming in the window - Form: E:

Subject class: Burglars,

Predicate class: Not coming in the window

(3) Everyone will be robbed - Form: A:

Subject class: Everyone,

Predicate class: Being robbed

In the first statement:

Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.

In the second statement:

There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.

In the third statement:

Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

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Answer:

Total surface area = 132 square feet

Step-by-step explanation:

Surface area of the triangular prism = Area of the triangular bases + Area of the lateral rectangular sides

Area of the triangular surface = \(\frac{1}{2}(\text{Base})(\text{Height})\)

                                                 = \(\frac{1}{2}\times 5\times 4\)

                                                 = 10 square feet

Area of the rectangular side with dimensions 5ft by 7ft,

Area = 5 × 7 = 35 square feet

Area of the rectangular side with dimensions 7ft by 4ft,

Area = 7 × 4 = 28 square feet

Area of the rectangular side with dimensions 7ft by 7ft,

Area = 7 × 7 = 49 square feet

Total surface area = 2(10) + 35 + 28 + 49

                               = 132 square feet

The probability of getting 2 tails is option (b) 37.5%

The event of "2 tails" can occur in three possible outcomes: {htt, tht, tth}, so the probability of getting 2 tails is the sum of the probabilities of these three outcomes.

Each toss of a fair coin is independent and has a 50% chance of landing tails. Therefore, the probability of each of these three outcomes is:

P(htt) = 1/2 × 1/2 × 1/2 = 1/8

P(tht) = 1/2 × 1/2 × 1/2 = 1/8

P(tth) = 1/2 × 1/2 × 1/2 = 1/8

So, the probability of getting 2 tails is:

P(2 tails) = P(htt) + P(tht) + P(tth) = 1/8 + 1/8 + 1/8 = 3/8

= 0.375

0.375 multiplied by 100% gives:

P(2 tails) = 37.5%

Therefore, the correct option is (b) 37.5%

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Total revenue (TR) in economics is calculated as the product of price (P) and quantity (Q) sold.

Total revenue is a fundamental concept in economics that represents the total amount of money a seller receives from selling goods or services to buyers. It is calculated by multiplying the price per unit (P) by the quantity (Q) of goods or services sold. Mathematically, it can be expressed as TR = P * Q.

The price (P) represents the monetary value assigned to each unit of the goods or services being sold. It is typically determined by factors such as supply and demand, production costs, market conditions, and competitive forces. The quantity (Q) represents the number of units sold.

By multiplying the price by the quantity, the total revenue gives an indication of the overall income generated from sales. It helps businesses and economists assess the financial performance of a company or industry, understand consumer behavior, and make strategic decisions.

It is worth noting that total revenue is closely related to the concept of elasticity, which measures the responsiveness of demand to changes in price. Changes in price can impact both the quantity sold and total revenue. For example, if a company increases the price of its product, it may experience a decrease in quantity sold but an increase in total revenue if the decrease in quantity is offset by the higher price. On the other hand, a decrease in price may lead to an increase in quantity sold but a potential decrease in total revenue if the increase in quantity is not sufficient to compensate for the lower price. Understanding total revenue helps in analyzing the dynamics of markets and optimizing pricing strategies.

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Answer:

6.7082039325

Step-by-step explanation:

Answer:

Somewhere between 6.7

Step-by-step explanation:

Sub to my channel.

christmas premiere tomorrow.

When computing the derivative with respect to mass (m), the person's height (h) is O the derivative the BSA 60 BSA=Ihm = f(m) 60 12 m f'(m) = ht 60 a um a constant SUBMIT To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters squared) using the formula Vhm BSA = 60 Where h is the height in centimeters and m is the mass in kilograms.
The units for dBSA/dm are (m^2/kg). BSA increases more rapidly with respect to mass at lower body mass, as can be seen by the larger rate of change at m = 70 compared to m = 80.

To compute the derivative with respect to mass (m), we can use the chain rule of differentiation. Let's first rewrite the formula for BSA in terms of m:

BSA = 60 * (h/100)^2/3 * m^2/3

Taking the derivative with respect to m:

dBSA/dm = (2/3) * 60 * (h/100)^2/3 * m^-1/3

At a constant height of h = 180 cm, we can plug in m = 70 and m = 80 to find the rate of change of BSA with respect to mass:

dBSA/dm at m = 70 = (2/3) * 60 * (1.8)^2/3 * 70^-1/3 ≈ 0.027 m^2/kg
dBSA/dm at m = 80 = (2/3) * 60 * (1.8)^2/3 * 80^-1/3 ≈ 0.024 m^2/kg

The units for dBSA/dm are (m^2/kg). BSA increases more rapidly with respect to mass at lower body mass, as can be seen by the larger rate of change at m = 70 compared to m = 80.

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Answer: -15

Step-by-step explanation:

The required solution to the given expression is -15 when substituting a=5 and b=6.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

3a - 2(b + 9)

We have to evaluate the given expression when a=5 and b=6

As per the question, we have

3a - 2(b + 9)

Substitute the values of a=5 and b=6 in the above expression,

= 3(5) - 2(6 + 9)

= 15 - 2(15)

= 15 - 30

= -15

Thus, the required solution is -15.

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Answer:

the answer is gonna be d

Step-by-step explanation:

Answer:

The solutions to the equation x² = 196 are:

x = 14 or x = -14

Therefore, the smallest answer is -14 and the largest answer is 14.

X = -14 or 14

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14) If Franc received a weekly increase and got $35 a week, then the graph will increase.

15) If Franc earned $18 an hour instead of $15, then the graph will decrease.

Graphs are useful tools for a variety of tasks in science, engineering, technology, finance, and other fields. With rectangular axes, one variable is plotted as a function of another in the most basic scenario; see Plot (graphics) for more information.

A function graph is a visual representation of a relation. A function is actually equal to its graph in set theory and current mathematical foundations. It is frequently helpful to conceive about functions as mappings, which also take into account the sets that make up the input and output relationships as well as the domain and codomain.

14) If Franc received a weekly increase and got $35 a week, then the graph will increase.

15) If Franc earned $18 an hour instead of $15, then the graph will decrease.

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Answer:

178/7

Step-by-step explanation:

4x-7+3x+9=180

4x+3x-7+9=180

7x-7+9=180

7x+2=180

7x=180-2

7x=178

x=178/7

Answer:

My guess is 320 dollars

Step-by-step explanation:

Answer:

  1,123,449,768

Step-by-step explanation:

The smallest number composed from 8 different digits that is divisible by each of those digits appears to be the 10-digit number ...

  1,123,449,768

If the number is to be divisible by an even digit, it must be even. That means it cannot end in the digit 5, so 5 cannot be one of the digits. We disallow division by 0, so 0 cannot be one of the digits.

The remaining 8 digits total 40, so cannot form a number divisible by 3, 6, or 9. In order to make such a number, we must add 5 to the digit total, but cannot do so using the single digit 5.

Choices for added digits include {1, 4} and {2, 3}. Adding 9+5 = 14 to the digit total would also work but would guarantee the resulting number is not the minimum possible.

The digits we have to work with are now {1, 1, 2, 3, 4, 4, 6, 7, 8. 9}. We know that an even number constructed from these digits will be divisible by 1, 2, 3, 6, and 9. To make it divisible by 4, 7, and 8, it must be a multiple of the LCM of those numbers.

The least possible number will use the smallest digits first, so will start ...

  112344...

The remaining digits, 6, 7, 8, 9, need to form a number that will be divisible by 56 when appended to the 6 digits already used. Those 6 digits form a number, 1123440000, that has a remainder of 32 when divided by 56. Hence we need to use the digits 6, 7, 8, 9 to make a number with a remainder of 24 when divided by 56. There are 24 permutations of the digits 6, 7, 8, 9. Half of these are odd numbers

The one number formed from digits 6, 7, 8, 9 that is divisible by 56 with a remainder of 24 is 9768.

The smallest number comprised of 8 different digits and divisible by each of them is the 10-digit number 1,123,449,768.

Answer

The interval of increase of the given function is x > -2.5.

This can be written in interval form as (-2.5, ∞)

Explanation

The interval of increase of the function refers to the range of values of the independent variable (x), where the graph is sloping positively, that is, the region of the graph that shows where the dependent variable (y) is increasing.

From the graph, we can see that the graph slopes negatively, that is, the values of y keep decreasing as we move from left to right at values of x less than -2.5, but at the point where x = -2.5, the sloping changes (this point is called the vertex of the graph or function; it is the point where the graph changes from increasing to decreasing or from decreasing to increasing).

We can also see that at values of x greater than -2.5, the graph slopes positively and the values of y increases as we move from left to right.

So, the interval of increase of the given function is x > -2.5.

This can be written in interval form as (-2.5, ∞)

Hope this Helps!!!

Hello!

12x = -48

x = -48/12

x = -4

x + 9 = -18

x = -18 - 9

x = -27

Answer:

42x+1200

Step-by-step explanation:

The multiplication expression to determine the total change in the value of these cars at the dealership is 42×1200.

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is:

A dealership has 42 cars that are last year’s model that they still need to sell. Because they are last year’s model, each of these cars has depreciated $1,200 in value. Write a multiplication expression to determine the total change in the value of these cars at the dealership.

It is given that:

A dealership has 42 cars that are last year’s model that they still need to sell.

1 car → $1200

Let the price of 42 cars is x

42 cars → x

x = 42×1200

x = $50,400

Thus, the multiplication expression to determine the total change in the value of these cars at the dealership is 42×1200.

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Answer:The student needs to score 20 points

Step-by-step explanation:

? /50= 40/100Cross multiply:100*? = 40*50⇒? = 40*50/100= 20

The laptop will be worth $0.001286 after 15 years if its worth becomes 1/3 each year.

We can solve this problem by using the formula for geometric sequences,

an = a₁r^(n-1), here in this case, an is the worth of the laptop after n years, r is the rate at which the worth is changing that 1/3 in this case and a₁ is the value of the laptop currently. Substituting the given values, we get:

a₁₅ = 600(1/3)¹⁵⁻¹

a₁₅ = 600(1/3)¹⁴

a₁₅ = 600x0.0000021433

a₁₅ = 0.001286

Therefore, after 15 years, the laptop is worth approximately $0.001286.

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Answer:

The answer is $614

w + d = 657

657 divided by 2 is 328.5

328.5 - 43 285.5 (that would be washer)

Answer: 657 - 285.5 = 371.5

that should be right!(:

Siddhu's actual roll number is 660.

First, let's break down the information we have:

- Arsha's roll number is 616.
- The digits at the ones place and tens place of the sum of place values of 6 in Arsha's number need to be exchanged to find Siddhu's roll number.

Step 1: Determine the place values of the digit 6 in Arsha's roll number (616):
- The first 6 is in the hundreds place (600).
- The second 6 is in the ones place (6).

Step 2: Add the place values of the two 6s:
- 600 + 6 = 606.

Step 3: Exchange the digits at the ones place and tens place of the sum:
- The ones place digit is 6, and the tens place digit is 0.
- Exchanging these digits gives us the number 660.

Therefore, Siddhu's actual roll number is 660.

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Correlation is not sensitive to the scale of the data; however, covariance is  sensitive to the scale of the data, so the statement is false.

Covariance is a term used in statistic and regression analysis. Covariance shows how two variables differ.

Covariance is affected by the change in scale, for example if all the value of one variable is multiplied by a constant and all the value of another variable are multiplied, by the same or another constant all together, then the covariance is automatically changed.

Correlation is also a term used in regression analysis and statistics. Correlation shows how two variables are related and therefore not influenced by the change in scale.

Hence the given statement is False

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Answer:

17√3

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is √3 times larger than the legs.

17*√3 = 17√3

Answer:

Step-by-step explanation:

To find c we use cosine

cos ∅ = adjacent / hypotenuse

c is the hypotenuse

BC is the adjacent

cos 35° = 5 / c

Hope this helps you

Answer:

the answer is B. C= 5 / cos(35)

Step-by-step explanation:

i took the test

Answer:

495 students are at Lincoln Middle School

Step-by-step explanation:

450/?

450 = 90%

450*90% = 450 * 0.90 =  405

450- 405 = 45  

450+45 = 495

Answer:864

Step-by-step explanation:

36*24=864

The ratio of the given conversion units is; 24:5

Conversion of units is defined as the conversion between different units of measurement for the same quantity, and this is typically done through multiplicative conversion factors that change the measured quantity value without changing its effects.

Now, we are given a ratio of yards to inches but to get an effective ratio without units, we need to convert them to the same units.

Now, from conversion of units, we know that;

1 yard = 36 inches

Thus;

4 yards = 4 * 36 = 144 inches.

Thus;

The ratio = 144:30

This can be simplified to 24:5

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