What are examples of arithmetic numbers?

Answer:

1

Step-by-step explanation:

We will use x instead of theta

● cos^2 x *(1+tan^2x)

We khow that: 1+ tan^2 x = 1/cos^2 x

Replace 1+tan^2 x by the new expression

● cos^2 x (1/cos^2 x)

● cos^2x/ cos^2 x

● 1

Answer:

1)

40x + 70y ≤ 280 (red on the graph)

100x + 120y ≤ 1200 (blue on the graph)

2) see attachment

3) x=5, y=1

40*5 + 70*1 ≤ 280. 270 ≤280

x=3, y=2

40*3 + 70*2≤280, 260 ≤ 280

Answer:

12/15

Step-by-step explanation:

4/5 x 3/3 = 12/15

\( \frac{12}{15} \)

Answer: The prime factorization of 630 is 2 x 3 x 5 x 7.

The prime factorization of 1248 is 2^4 x 3 x 7.

So, 630 can be written as 2 x 3 x 5 x 7 and 1248 can be written as 2^4 x 3 x 7

In general, to find the prime factorization of a number, you can divide the number by the smallest prime number (2) and continue dividing by prime numbers until the quotient is a prime number. Then divide that quotient by the next smallest prime number, and so on, until the quotient is 1.

Step-by-step explanation:

u · v is approximately 31.62. To compute u · v, we first need to find the unit vector v in the direction of u. This is done by dividing u by its magnitude ||u||, which is the square root of the sum of the squares of its components:

||u|| = sqrt(3^2 + (-315)^2 + 24^2) = sqrt(99810)

So the unit vector v is given by:

v = u/ ||u|| = (3/sqrt(99810))i - (315/sqrt(99810))j + (24/sqrt(99810))k

Now we can compute the dot product u · v:

u · v = (3)(3/sqrt(99810)) + (-315)(-315/sqrt(99810)) + (24)(24/sqrt(99810))

= 9/ sqrt(99810) + 99225/ sqrt(99810) + 576/ sqrt(99810)

= 997.723/ sqrt(99810)

Therefore, u · v is approximately 31.62.

Learn more about vector

https://brainly.com/question/29740341

#SPJ4

g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

The "g value" or "g-force" is a measure of the acceleration or deceleration experienced by an object. It is defined as the ratio of the acceleration of the object to the acceleration due to Earth's gravity, which is approximately 9.8 m/s^2.

To calculate the g value of an object, you can use the following formula:

g value = acceleration of the object / acceleration due to gravity

For example, if an object experiences an acceleration of 19.6 m/s^2, the g value can be calculated as follows:

g value = 19.6 m/s^2 / 9.8 m/s^2 = 2 g

This means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

It's important to note that the g value is a unitless quantity, so the units of the acceleration of the object and the acceleration due to gravity must be the same in order to obtain a correct result.

Therefore,  g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

To learn more about gravitational acceleration,

Visit; brainly.com/question/14374981

#SPJ4

The distance between the girl and her bike is 25.00 ft.

Distance is the measure of how far apart two objects, places, or points are. It can be measured in a variety of units, such as miles, kilometers, inches, centimeters, or other units.

The distance between the girl and her bike can be found using the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse.

In this case, the girl is 20 ft. east of the school and 21 ft. south of the school. Therefore, the two sides of the triangle are 20 ft. and 21 ft. and the hypotenuse is the distance between the girl and her bike.

Using the Pythagorean Theorem, the hypotenuse is equal to the square root of (20^2 + 21^2) = 25.00 ft.

Therefore, the distance between the girl and her bike is 25.00 ft.

To learn more about distance
https://brainly.com/question/23848540
#SPJ1

Answer:

1)4,5,8

2)3,6,7

3)1 and2,5 and 6,3 and 4,7 and 8,1 and6,3and 8,2 and5,4 and 7

Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

\( \tan(41°) = \frac{26}{x} \)

\(0.869 \times x = 26\)

\(x = \frac{26}{0.869} \)

Therefore, The value of x is 29.90.

Hope it helps...

Answer:

Please review my interpretation of the written expression.

Step-by-step explanation:

f(x) = 5*(4/5)^x    :  Is this correct?

If so, see attached graph.

One can calculate several points and then draw the graph, or use an online, and free, graphing app (DESMOS in this case).

Since the exponent is the variable, I'll pick a few vaules that are easy (for me) to calculate:

f(0) = 5*(4/5)^0

Anything raised to the 0th power is equal to 1, so we get 5*1 or 5 to make the point (1,5).

When x = 1, the fraction (4/5) remains (4/5) and when multiplied by 5, reduces to simply 4.  The second point is (1,4)

For the last point, I chose x to be 10.  5(4/5)^10 becomes 0.5.  The third point is (10,0.5)

We can see the line approaches 0 as x increases.

a) There are 36 possible sample points. b) The sample points are: (1,1), (1,2), (1,3), ..., (6,5), (6,6). c) The probability of obtaining a sum of 7 is 6/36 = 1/6. d) The probability of obtaining a sum of 9 or greater is 10/36 = 5/18.  e) The given statement " each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values." is true. Because there are more ways to obtain even sums than odd sums. f) The method used to assign probabilities is the classical method.

There are 36 possible sample points in this experiment. (6 possible outcomes for the first die multiplied by 6 possible outcomes for the second die)

Sample points:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

The probability of obtaining a value of 7 is 6/36 or 1/6. This can be determined by counting the number of sample points that result in a sum of 7 (there are 6 of them) and dividing by the total number of sample points.

The probability of obtaining a value of 9 or greater is 10/36 or 5/18. This can be determined by counting the number of sample points that result in a sum of 9 or greater (there are 10 of them) and dividing by the total number of sample points.

Yes, we agree with this statement. There are more possible outcomes that result in an even sum than an odd sum. Specifically, there are 18 even sums and only 18 odd sums.

This is because an even sum can be obtained by either adding two even numbers, or adding an odd number and an even number (which gives an even result). An odd sum can only be obtained by adding an odd number and an even number.

We used the classical method to assign probabilities, which assumes that all outcomes are equally likely. This method works well for simple random experiments like rolling dice, but may not be appropriate for more complex experiments.

Other methods for assigning probabilities include the empirical method (based on observed frequencies in past data) and the subjective method (based on personal judgment or expert opinion).

To know more about probability:

https://brainly.com/question/11234923

#SPJ4

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:175ft cube is the volume of the figure.

Step-by-step explanation:The volume of lower part is,

V=L*B*H

V=5*7*2

V=70ft cube

Volume of upper grade part is,

V2=L*B*H

V2=3*5*7

V2=105ft cube

Therefore total volume=V+V2

=175 ft cube

Answer:

1. la 2. unas 3. el 4. unos

Step-by-step explanation:

Yo tengo la calculadora cientifica y unas reglas en la clase de matematicas. Miguel, tu tienes el libro de Shakespeare y unos boligrafos para escribir en el cuaderno

In 1995, an early social media pioneer implemented the freemium business model, offering users the ability to create web pages within a community (topic) by providing basic services for free and charging for additional features.

In 1995, GeoCities introduced the freemium business model to the social media landscape. GeoCities allowed users to create personalized web pages with text and pictures within various thematic communities. The freemium model offered basic services for free, allowing users to create and host their web pages. However, GeoCities also provided additional features and enhancements for which users had to subscribe and pay.

This business model proved to be successful as it attracted a large user base and allowed GeoCities to generate revenue from subscribers who wanted access to premium features. By offering a free platform with limited functionality and enticing users with paid upgrades, GeoCities capitalized on the concept of the freemium model, providing a valuable interest while monetizing certain aspects of it.

Learn more about interest here:

https://brainly.com/question/30955042

#SPJ11

Answer:

1 1/4 =c

Step-by-step explanation:

4 1/6 = 3 1/3c

Change the mixed numbers to improper numbers

4 1/6 = ( 6*4+1)/6 =25/6

3 1/3 = ( 3*3+1)/3 = 10/3

25/6 = 10/3c

Multiply each side by 3/10

25/6 * 3/10 = 10/3c * 3/10

3/6 * 25/10 = c

1/2 * 5/2 =c

5/4 =c

Change back to a mixed number

1 1/4 =c

Answer:

From a total of 140 customers, 35 customers ordered iced tea. The corresponding percent is: 25%

Step-by-step explanation:

Answer:

Step-by-step explanation:

The x intercepts are obtained by equating the factors to zero.

2x - 1 = 0

2x = 1

x = 1/2

2x - 5 = 0

2x = 5

x = 5/2

x = 2 1/2 or 2.5

The graph of f(x) = (2x -1)*(2x - 5) is given below. The x intercepts are labeled.

9

Step-by-step explanation:

15x+12=19x-24

15x-19x=-24-12

-4x=-36/÷(-4)

x=9

You first put all the x on one side and numbers on the other and be careful about + and - and then you divide by everything with the x so you have only the x left and you get the aswer.

Answer:

x=9

Step-by-step explanation:

Learned it in math class, hope this helps:)

Answer:

all of them

Step-by-step explanation:

add a 90 degree angle to the right of the hypotenuse and solve you shohld get 180 degrees for every triangle

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

An expression for the number of bacteria after t hours is \(N(t) = e^{(10 + 2t)}\).

To find an expression for the number of bacteria after t hours, given that a bacteria culture starts with e¹⁰ bacteria and grows at a rate proportional to its size, we can use the exponential growth formula:
\(N(t) = N(0) * e^{(kt)}\)
where N(t) is the number of bacteria after t hours, N(0) is the initial number of bacteria, k is the growth constant, and t is the time in hours.

First, we are given that after 3 hours there are e¹⁶ bacteria.

Let's use this information to find the growth constant k:
\(e^{16} = e^{10} * e^{(3k)} \\e^{6} = e^{(3k)}\)

Now, we can find k by dividing both sides by 3:
6 = 3k
k = 2

Now that we have the growth constant k, we can plug it into the exponential growth formula:
\(N(t) = e^{10} * e^{(2t)}\)
which is equivalent to:
\(N(t) = e^{(10 + 2t)}\)

Learn more about expression:

https://brainly.com/question/723406

#SPJ11

Answer:

-8

Step-by-step explanation:

Let r, g and c be the scores of, respectively, Rose, Garcia and Curran.

We know that

\(r + g + c = - 32 \\ r = - 9 \\ g = - 15\)

Thus

\( - 9 - 15 + c = - 32 \\ - 24 + c = - 32 \\ c = - 8\)

The total deposit that Rosa Izquierdo will make is A) $100.00.

The total deposit is the sum of the checks and cash (or dollar bills and coins) deposited at a point by the bank customer.

In this situation, the total deposit is the above amount less the withdrawal of $25.00 in cash that Rosa makes.

Checks with Rosa Izquierdo:

A) $50.00

B) $35.00

Sub-Total for checks = $85.00

Dollar Bills = 2 x $20 = $40

Grand Total (Check and Cash) = $125.00

Withdrawal = $25.00

The total deposit = $100.00 ($125 - $25)

Thus, we can conclude that Rosa Izquierdo deposited only $100 in check and cash.

Learn more about the total deposit at https://brainly.com/question/7203798.

#SPJ1

The product of the volume and total surface area of the given right conical frustum is approximately 146520π². To find the product of the volume and total surface area of a right conical frustum, we first need to determine the individual values of volume and surface area.

The volume of a frustum can be calculated using the formula:

V = (1/3)πh(r₁² + r₂² + r₁r₂),

where h is the height of the frustum, r₁ and r₂ are the radii of the larger and smaller bases, respectively.

In this case, we are given that the radii of the larger and smaller bases are 12 and 9 units, respectively. We also know that the two bases are 4 units apart, which means the height of the frustum is 4 units.

Substituting the given values into the formula, we have:

V = (1/3)π(4)(12² + 9² + 12*9)

 = (1/3)π(4)(144 + 81 + 108)

 = (1/3)π(4)(333)

 = (4/3)π(333)

 ≈ 444π cubic units

Now, let's move on to calculating the total surface area of the frustum. The formula for the total surface area is:

A = π(r₁ + r₂)ℓ + πr₁² + πr₂²,

where ℓ is the slant height of the frustum.

Since the frustum is a right frustum, the slant height ℓ can be found using the Pythagorean theorem:

ℓ = √(h² + (r₁ - r₂)²)

Substituting the given values, we have:

ℓ = √(4² + (12 - 9)²)

 = √(16 + 9)

 = √25

 = 5

Now we can calculate the total surface area:

A = π(12 + 9)(5) + π(12²) + π(9²)

 = π(21)(5) + π(144) + π(81)

 = 105π + 144π + 81π

 = 330π square units

Finally, to find the product of the volume and total surface area, we multiply the two values:

VA = (444π)(330π)

  ≈ 146520π²

Therefore, the product of the volume and total surface area of the given right conical frustum is approximately 146520π².

Learn more about volume here:

https://brainly.com/question/21623450

#SPJ11

Answer: D

Step-by-step explanation:

If 30% failed then (100-30)% passed

That is 70%

let x be the number of students that wrote the exam

(70/100)x=210

x=21000/70

x=300

Step-by-step explanation:

1.5x + 6-3= 4.5x- 2

1.5x+3=4.5x-2

we transposed

4.5x-1.5x= 3+2

3x= 5

we divide both sides by 3

3x/3= 5/3

x= 5/3

Lagrange interpolation basis polynomials: Ln(x) = Σ[i=1 to k+1]\(F(x_i)Li(x)\)where, Li(x) = Π[j=1 to k+1, j ≠ i] \((x-x_j) / (x_i - x_j).\)

The formula for the Lagrange Interpolational Polynomial Ln(x) associated with the data (xi, F(x_i)), 1 ≤ i ≤ k + 1 is given by:

Ln(x) = Σ[i=1 to k+1] \(F(x_i)Li(x)\)

where,

Li(x) = Π[j=1 to k+1, j ≠ i] \((x-x_j) / (x_i - x_j)\)

are the Lagrange interpolation basis polynomials.

Lagrange Interpolation is a method of finding a polynomial that passes through a given set of data points. It makes use of the basis polynomials or Lagrange basis functions to construct the polynomial.

The Lagrange basis polynomials are defined as,

Li(x) = Π[j=1 to k+1, j ≠ i] \((x-x_j) / (x_i - x_j)\)

where, 1 ≤ i ≤ k+1 are the indices of the data points.

The Lagrange Interpolational Polynomial Ln(x) associated with the data

(xi, F(x_i)), 1 ≤ i ≤ k + 1 is given by,

Ln(x) = Σ[i=1 to k+1] \(F(x_i)Li(x)\)

Hence, the formula for the Lagrange Interpolational Polynomial Ln(x) associated with the data (xi, F(x_i)), 1 ≤ i ≤ k + 1 is given by:

Ln(x) = Σ[i=1 to k+1] \(F(x_i)Li(x)\)

where

Li(x) = Π[j=1 to k+1, j ≠ i] \((x-x_j) / (x_i - x_j)\) are the Lagrange interpolation basis polynomials.

Know more about the Lagrange interpolation

https://brainly.com/question/32547327

#SPJ11