A cell phone provider charges a monthly fee of $20 dollars and also charges customers $0.05 per text message. The function C (t) = 0.05t+ 20 represents the cost C, per month based on t text messages in a month.
Which best describes the domain of the function?
- All real numbers
-All real numbers that are multiples of 0.05.
-all whole numbers
-all whole numbers from 0 to 20

Answer:

W=x/7+ 8z/7 + 4/7

Step-by-step explanation:

Answer:

1√5

Step-by-step explanation:

Combine like terms

Answer:

-\(\sqrt{5}\), or about -2.24 in decimal form

Step-by-step explanation:

Add -3 and 2 and keep the \(\sqrt{5}\). -3+2 is -1, so the answer is -\(\sqrt{5}\).

To find the value of a definite integral, you need to use the fundamental theorem of calculus. This theorem states that if a function is continuous on a closed interval, then the value of the integral of this function over the interval is equal to the difference between the values of the function at the endpoints of the interval.

To find the value of a definite integral, you can use the following steps:
1. Define the function and the interval over which it is to be integrated.
2. Rewrite the function in terms of an anti-derivative or primitive.
3. Calculate the value of the integral by finding the difference between the values of the anti-derivative at the endpoints of the interval.

For example, if you are asked to find the value of the integral of x2 from 0 to 4, then you would proceed as follows:
1. Define the function as f(x) = x2 and the interval as [0, 4].
2. Rewrite the function as an anti-derivative, which is F(x) = x3/3.
3. Calculate the value of the integral as the difference between the values of the anti-derivative at the endpoints of the interval: F(4) - F(0) = (43/3) - (03/3) = 64/3.
Therefore, the value of the integral of x2 from 0 to 4 is 64/3.

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The statements that are true about the given algorithms are: I. Algorithm 1 does not work on lists where the smallest value is at the start of the list or the largest value is at the end of the list.  II. Algorithm 2 does not work on lists that contain all negative numbers or all numbers over 1000.

Algorithm 1's reliance on initializing minVal to the first value and maxVal to the last value can lead to incorrect results if the smallest or largest value is not properly updated during the iteration. Similarly, Algorithm 2's fixed initial values for minVal and maxVal can result in incorrect differences when dealing with lists containing all negative numbers or all numbers over 1000.

It is important to consider these limitations and potential failure cases when choosing and implementing an algorithm for calculating the difference between the smallest and largest values in a list.

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Sorry, what is the question? OwO

Answer:

12

Step-by-step explanation:

Given:

3 bags of each color band

4 kits

To "divide equally" we need the greatest number that divides the two numbers 3 and 4 equally.

Find the greatest common factor of 3 and 4:

factors of 3 = 1,3,6,9,12,15,18,21,24....

factors of 4 = 1,2,4,8,12,16,20,24...

How many bands are in each kit?​

12 or any other number that is a factor of both 3 and 4 such as 24,..etc.

Step-by-step explanation:

A regular Pentagon has 5 angles of 108° each

A square has 4 angles of 90° each

x will be equal to 360° minus the other 2 angles around it

x=360-(90+108)

x=360-198

x= 162°

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Step-by-step explanation:

the volume of a cone is

base area × height / 3

and the case area is a circle, so we get

pi×r²×h/3

with e being the radius (half of the diameter), and h being the height.

therefore

pi×(11.9/2)²×3.5/3 = pi×(5.95)²×3.5/3 = 41.30291667... ft³

The 3 different formulas for area of triangle are :

\(A = \frac{1}{2}* b* h\)

\(A = \frac{\sqrt{3}}{4} * side^2\)

\(A =\sqrt{s(s-a)(s-b)(s-c)}\)

In a 2-D plane, the area of a triangle is the region enclosed by it. A triangle, as we all know, is a closed shape with three sides and three vertices. The general formula for calculating the area of a triangle is half of the product of its base and height.

To calculate the area of a triangular polygon, we must first determine its base (b) and height (h).

Area of triangle is  \(A = \frac{1}{2}* b* h\).

When all sides of triangle, then the triangle is called equilateral triangle.

Area of an Equilateral Triangle ,\(A = \frac{\sqrt{3}}{4} * side^2\)

Heron's formula can be used to calculate the area of a triangle with three sides of varying lengths. The first step is to calculate the semi-perimeter of a triangle by adding all three sides and dividing by two. The following step is to use the semi-perimeter of a triangle value in the main formula known as "Heron's Formula" to calculate the area of a triangle.

\(A =\sqrt{s(s-a)(s-b)(s-c)}\)

Where, \(s=\frac{a+b+c}{2}\)

Thus, there are many ways to determine the area of triangle.

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Answer:

2x-2

Step-by-step explanation:

Answer:

45 minutes

Step-by-step explanation:

I attached a pic of my work.

Answer: f(n) = 27 - 3n

Hope this helped

Answer:

In mathematics, a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. ... A term is a constant or the product of a constant and one or more variables.

Step-by-step explanation:

;-;

Answer:

false because classify 6% then we can talk

The volume of the given solid enclosed by the paraboloids y = x2 + z2andy = 72 − x2 − z2 is 10368 cubic units.

Using a triple integral, we will integrate over the region of the xz-plane that is enclosed by the paraboloids.

The limits of integration for x and z can be found by solving the two equations for x^2 + z^2:

$x^2 + z^2 = y = x^2 + z^2 + 72 - x^2 - z^2$

$x^2 + z^2 = 36$

Therefore, the limits of integration for x and z are from -6 to 6.

The limits of integration for y are from the equation of the lower paraboloid $y = x^2 + z^2$ to the equation of the upper paraboloid $y = 72 - x^2 - z^2$.

Therefore, the limits of integration for y are from $x^2 + z^2$ to $72 - x^2 - z^2$.

The triple integral for the volume of the solid is:

$\iiint_V dV = \int_{-6}^{6} \int_{-6}^{6} \int_{x^2+z^2}^{72-x^2-z^2} dy dz dx$

Integrating with respect to y:

$\int_{x^2+z^2}^{72-x^2-z^2} dy = 72 - 2(x^2 + z^2)$

Substituting this into the triple integral gives:

$\iiint_V dV = \int_{-6}^{6} \int_{-6}^{6} (72 - 2(x^2 + z^2)) dz dx$

Integrate with respect to z:

$\int_{-6}^{6} (72 - 2(x^2 + z^2)) dz = 72(12) - 4x^2(6) = 864 - 24x^2$

Integrate with respect to x:

$\int_{-6}^{6} (864 - 24x^2) dx = 2(864)(6) - 2\int_{0}^{6} (24x^2) dx = 10368$

Therefore, the volume of the solid enclosed by the paraboloids $y = x^2 + z^2$ and $y = 72 - x^2 - z^2$ is 10368 cubic units.

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Answer:

well it looks equal to 15 cm so its probably 15 cm

Give brainliest :)

Answer:

787.5

Step-by-step explanation:

150x21÷4 sana makatolong

The assistantships can be awarded in 495 different ways.

Step 1: Identify the values

We are given that there are 12 students and 4 assistantships to be awarded.

Step 2: Apply the combination formula

The combination formula, also known as "n choose r" or denoted as C(n, r), calculates the number of ways to choose r items from a set of n items without regard to their order. In this case, we want to find the number of ways to choose 4 students out of the 12 for the assistantships.

The combination formula is given by:

C(n, r) = n! / (r! * (n - r)!)

Step 3: Calculate the factorials

To apply the combination formula, we need to calculate the factorials of the numbers involved. The factorial of a number is the product of that number and all positive integers below it.

In this case, we have:

12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

4! = 4 x 3 x 2 x 1

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Calculating the factorials:

12! = 479,001,600

4! = 24

8! = 40,320

Step 4: Apply the combination formula

Substitute the calculated factorials into the combination formula:

C(12, 4) = 12! / (4! * 8!)

Calculating further:

C(12, 4) = 479,001,600 / (24 * 40,320)

C(12, 4) = 479,001,600 / 967,680

C(12, 4) ≈ 495

Therefore, there are 495 different ways the college can award the 4 assistantships to the 12 students.

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Answer:

The slope of the line is 1

Step-by-step explanation:

I picked two points on the line: (0,3) and (-3,0). Then, I used the formula for slope which is the change in y over the change in x and got the answer 1.

Answer:  \(\dfrac{1}{10}\)

Step-by-step explanation:

Given: The bag has 5 green chips, 3 red chips, and 7 blue chips.

Total chips = 5+3+7= 15

Number of ways to select a red and then a blue chip = 3 x 7 = 21

Total number of ways to select 2 chips without replacement = 15 x 14 =210

Required probability = \(\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}\)

\(=\dfrac{21}{210}=\dfrac{1}{10}\)

So, the probability that he selects a red and then a blue chip (without replacing) =  \(\dfrac{1}{10}\)

The z-score of 2 for a sample has a mean of 100 and a standard deviation of 6 is 112.

The value that would correspond to the z-score of 2 for a sample with a mean of 100 and standard deviation of 6 can be calculated using the formula for z-score:
z = (x - mean) / standard deviation

In this case, we want to find the value of x that corresponds to a z-score of 2. We can rearrange the formula to solve for x:
x = (z * standard deviation) + mean

Substituting the values given in the question:
x = (2 * 6) + 100
x = 12 + 100
x = 112

Therefore, the value that corresponds to the z-score of 2 for this sample is 112.

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Answer:  60

Step-by-step explanation:

Answer:60

Step-by-step explanation:

((−8)(15) (-1/2) =60

Answer:

-11q+1

Step by Step Explanation:

7-6-2q-9q

1-2q-9q

1-11q= -11q+1

Pyramids have been a symbol of great architecture inventions of the mankind. Egyptian People were the first once to design pyramids on a very large level.

Let a be the Side of Area of base of Pyramid . The base of a pyramid is a square shaped quadrilateral

The Volume of the Pyramid with base area   and height  is given by the equation (1)

\(Volume = (1/3)Ah....(1)\)

\(A = a^{2}\)

\(a = Side\)

A = \(a^{2}\) = \(44cm^{2}\)

\(h = 12.6\)

Putting these values in equation (1) we get

\(Volume = (1/3)X44X12.6\)

\(Volume\) \(= 184.8cm^{3}\)

Hence , the volume of the pyramid is 184.8cm³

SOLUTION:

We are to find the equation that best represents the axis of symmetry in the given graph.

The axis of symmetry is the line that divides the graph into two equal parts and it is parallel to y - axis.

By critical and careful examination, it is clear that the line of symmetry is x = 2 ( when you draw a line parallel to y-axis, it divides the graph into equal parts.

So the correct option is G that is, x = 2

Answer:

Hi! The answer to your question is 176,868 Square Inches

Step-by-step explanation:

\(Area = Length * Width\)

\(8.5 * 12 * 12 *8.5 * 17 = 176,868\)

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

The simplified forms of the radical expressions:

In this question we find five cases of addition of radical expressions that must be simplified into a single radical expression, that is, a radical expression of the form a√b. The simplification can be done by using algebra properties. The complete procedure is shown below:

Case 1

- 3√18 + 10√2

- 3 · (√9 × √2) + 10√2

- 3 · 3 · √2 + 10√2

- 9√2 + 10√2

√2

Case 2

- 2∛24 - 5∛3

- 2 · (∛8 × ∛3) - 5∛3

- 2 · 2 · ∛3 - 5∛3

- 4∛3 - 5∛3

- 9∛3

Case 3

5√12 - 2√27

5 · (√3 × √4) - 2 · (√3 × √9)

5 · 2 · √3 - 2 · 3 · √3

10√3 - 6√3

4√3

Case 4

5∛16 + 11∛2

5 · (∛8 × ∛2) + 11∛2

5 · 2 · ∛2 + 11∛2

10∛2 + 11∛2

21∛2

Case 5

3√54 - 21√24

3 · (√6 × √9) - 21 · (√6 × √4)

3 · 3 · √6 - 21 · 2 · √6

9√6 - 42√6

- 31√6

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