two forces are acting upon an object F1 is 10N and is being applied at a 270 angle with the positive x-axis...


here's the answers:

Answer:

= 886362.75 children

Step-by-step explanation:

if 444 adults   =  999 children

393939 adults= 393939adults x 999children

                                   444adults

= 886362.75 children

Answer:

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation

Step-by-step explanation:

the absolute deviation is 2.75

Answer:

1st box is 200

2nd box is 8

Step-by-step explanation:

Answer:

that one is already correct

Answer:

the third one

Step-by-step explanation:

slope intercept form is y = mx + b

where m = slope

for the third one m = 3

therefore the third one is the correct answer

Answer:

x =6

Step-by-step explanation:

8(x - 4) = 16

8x-32=16

8x=32+16

8x=48

x=6

☁️ Answer ☁️

8(x + -4) = 16

8(-4 + x) = 16

(-4 * 8 + x * 8) = 16

(-32 + 8x) = 16

-32 + 8x = 16

Add '32' to each side of the equation.

-32 + 32 + 8x = 16 + 32

-32 + 32 = 0

0 + 8x = 16 + 32

8x = 16 + 32

(Combine like terms) 16 + 32 = 48

8x = 48

And Divide each side by eight

x = 6

Hope it helps.

Have a nice day noona/hyung.

The power series ∑n\(=2^ \infty^n(9x)^n[ln(7n)]^n\\\) converges for all real numbers x. To determine the radius and interval of convergence for the power series ∑n\(=2^{ \infty}^n(9x)^n[ln(7n)]^n\\\), we can use the ratio test.

The ratio test states that if we have a power series Σ \(a_nx^n,\) then the radius of convergence, R, is given by:

R = lim (n→∞) |a_n/a_(n+1)|

Let's apply the ratio test to the given power series:

\(a_n = (-1)^n(9x)^n[ln(7n)]^n\\a_{(n+1)} = (-1)^{(n+1)}(9x)^{n+1}[ln(7(n+1))]^{n+1}\)

Now, let's find the ratio:

\(|r| = |a_n/a_{n+1}| = |(-1)^n(9x)^n[ln(7n)]^n / (-1)^{n+1}(9x)^{n+1}[ln(7(n+1))]^{n+1}|\)

Simplifying, we get:

\(|r| = |(9x/(9x)) * [(ln(7n)/ln(7(n+1)))]^n|\\\\|r| = [(ln(7n)/ln(7(n+1)))]^n\)

Taking the limit as n approaches infinity:

\(\lim_{n \to \infty}[(ln(7n)/ln(7(n+1)))]^n = \lim_{n \to \infty}[ln(7n+1) / ln(7n)]^n\\\)

Since the limit evaluates to a value less than 1, the series converges for all x-values.

Therefore, the radius of convergence is infinite, and the interval of convergence is (-∞, +∞).

As a result, the power series ∑n\(=2^ \infty^n(9x)^n[ln(7n)]^n\\\) converges for all real numbers x.

To learn more about  interval of convergence visit:

brainly.com/question/31972874

#SPJ11

Understanding the history of credit provides valuable insights that can shape our perspective on credit cards and other forms of debt. History highlights the evolution and purpose of credit, leading to a more informed approach to personal finance.

**Exploration of the history of credit** reveals that it has played a crucial role in economic development throughout civilizations. From ancient societies engaging in barter systems to the introduction of coins and paper money, credit emerged as a means to facilitate trade and commerce. Over time, lending practices evolved, giving rise to concepts like interest, collateral, and promissory notes.

By studying this history, we can recognize that credit is a powerful tool when used responsibly. It allows individuals and businesses to access funds, invest in opportunities, and manage financial needs. However, it also highlights the potential pitfalls and risks associated with excessive debt.

Understanding the historical context enables us to approach credit cards and other forms of debt with caution and mindfulness. We realize that **credit card debt** is essentially borrowing money that needs to be repaid, often with interest. It prompts us to consider factors such as interest rates, repayment terms, and fees associated with credit cards. This awareness empowers us to make informed decisions, comparing different options, and selecting the most suitable financial products.

Furthermore, historical knowledge of credit reminds us to prioritize responsible financial practices. It encourages us to budget effectively, live within our means, and avoid accumulating excessive debt. Recognizing the potential consequences of mismanaging credit inspires us to develop strategies for debt reduction, such as making regular payments, minimizing interest charges, and seeking professional advice when necessary.

In conclusion, understanding the history of credit influences our perspective on credit cards and other forms of debt. It reminds us of the significance of responsible financial management, enabling us to approach credit with a balanced mindset. By considering historical context, we can make informed decisions, select appropriate financial products, and adopt strategies to maintain a healthy financial position.

Learn more about evolution here

https://brainly.com/question/20368294

#SPJ11

The correct statement regarding the domain of the function is given as follows:

The domain of (f/g)(x) = x³/(x² - 4) is all real numbers except x = -2 and x = 2.

The function for this problem is given as follows:

(f/g)(x) = x³/(x² - 4)

The values that are outside the domain are the values of x for which the denominator is of zero, hence:

x² - 4 = 0

x² = 4

\(x = \pm \sqrt{4}\)

\(x = \pm 2\)

More can be learned about domain and range at https://brainly.com/question/26098895

#SPJ1

The first order differential equation (\(e^y\) + \(ye^{(2x)}dx\) +\(xe^{(2x)\)- 1)dy = 0 can be solved using the exact method and is \(e^{(y^2/2 + x) }(e^{y }+ ye^{(2x)}) - \sqrt{(2\pi)\phi(y)} = C\)

To use the exact method, we need to check if the equation satisfies the condition ∂M/∂y = ∂N/∂x, where M and N are the coefficients of dx and dy respectively. In this case, we have:

∂M/∂y = \(e^y\) +\(2xye^{(2x)\)

∂N/∂x = \(2xe^{(2x)\)

Since ∂M/∂y is not equal to ∂N/∂x, we need to make the equation exact. To do this, we need to find a function u(x, y) such that uMdx + uNdy = 0 is exact. We can find u(x, y) by solving the following equation:

∂(uM)/∂y = ∂(uN)/∂x

Differentiating both sides with respect to y, we get:

u∂M/∂y + \(Mu_y\) = \(u_xN_y\)+ \(Nu_x\)

Comparing coefficients of dx and dy, we get two equations:

∂u/∂x = \(Nu_x - Mu_y\)

∂u/∂y =\(Mu_x\)

Solving these equations, we get:

u(x, y) = \(e^{(y^2/2 + x)\)

Multiplying both sides of the original equation by u(x, y), we get:

\((e^{(y^2/2 + x)} (e^{y }+ ye^{(2x))}dx + (e^{(y^2/2 + x) }(xe^{(2x)} - 1))dy\) = 0

This equation is exact since ∂(uM)/∂y = ∂(uN)/∂x. We can now find the solution by integrating with respect to x and y:

\(\int(e^{(y^2/2 + x) }(e^{y} + ye^{(2x))})dx = ∫(-e^{(y^2/2 + x)} (xe^{(2x)} - 1))dy\)

Integrating the left-hand side with respect to x, we get:

\(e^{(y^2/2 + x) }(e^{y} + ye^{(2x)}) + g(y)\)

Differentiating this with respect to y and comparing with the right-hand side of the equation, we get:

\(g'(y) = -e^{y^2/2)\)

Integrating both sides, we get:

\(g(y) = -\int(e^{(y^2/2)})dy = -\sqrt{(2\pi)\phi(y)\)

where Φ(y) is the cumulative distribution function of the standard normal distribution.

Substituting g(y) into the solution for the left-hand side, we get:

\(e^{(y^2/2 + x) }(e^{y }+ ye^{(2x)}) - \sqrt{(2\pi)\phi(y)} = C\)

where C is the constant of integration. This is the general solution to the given differential equation.

To know more about differential equation, refer here:
https://brainly.com/question/14598404#
#SPJ11

Answer:

3

Step-by-step explanation:

3x2 is a term, -6x is a term, and 1 is a term (i could be wrong)

The area of the flower bed in square yards is 28 Square yards.

The area of the rectangular flower bed in square yards, we need to convert the measurements from feet to yards. There are 3 feet in 1 yard, so:

Length in yards = 21 feet / 3 = 7 yards

Width in yards = 12 feet / 3 = 4 yards

Now we can calculate the area in square yards:

Area = Length × Width

Area = 7 yards × 4 yards

Area = 28 square yards

Therefore, the area of the flower bed in square yards is 28 square yards.

To know more about  Square yards.

https://brainly.com/question/31015948

#SPJ11

The amount of potassium you should consume daily is 510 miligrams if 15 percent of potassium you daily need.

Let the total amount of sources of nutrient you consumed daily be x miligrams.

According to the given question.

One-half cup of black beans provides 15 percent of the potassium.

Also, you get remaning nutrients from 2890 miligrams of other sources.

⇒ you get 85 percent of remaining nutrients from other sources.

So, we can say that

85 percent of x = 2890 miligrams

⇒ 85/100 × x = 2890 miligrams

⇒ x = (2890 × 100)/85

⇒ x = 3400

So, the total amount of source of nutrients is 3400.

Therefore,

The amount of potassium you should consume daily

= 15 percent of 3400

= (15/100) × 3400

= 15 × 34

= 510 miligrams

The amount of potassium you should consume daily is 510 miligrams if 15 percent of potassium you daily need.

Find out more information about percent here:

https://brainly.com/question/14699403

#SPJ4

Answer:

y = 25x + 40; $140

Step-by-step explanation:

Answer:

Exponential growth function

Step-by-step explanation:

The table below represents some function between x and y:

x -  4  -  5   -   6   -    7  

y - 15  - 90 - 540 - 3240  

We are required to find if it's exponential growth, decay, or neither.

An exponential function is identified because each term is calculated as the previous term multiplied by a constant factor.

The values of x grow in increments of 1 and the values of x grow by a factor of 90/15 = 6, 540/90 = 6, 3240/540 = 6

Since there is a common factor and it's greater than 1, the function is exponential growth.

Answer:

many solutions

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

The probability that the number chosen is a multiple of 9 is 1/9, so the probability that it isn't a multiple of 9 is 1 - (1/9) = 8/9

Answer:

-----------------------

Using the formula for the union of two sets:

where

We are given that:

Plugging in the values, we get:

Therefore, set B contains 42 elements.

Answer:

Objects having reflectional symmetry (or approximate reflectional symmetry) are-

a.

b.

d.

e.

The objects that have reflectional symmetry will be A, B, C, and F.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object. From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

The reflection does not change the shape and size of the geometry. But flipped the image.

In figure D, there is a circular arc on the rim. And in figure E, there is a circular arc on the turbine. Hence, the axis of symmetry is not possible.

The objects that have reflectional symmetry will be A, B, C, and F.

The objects are shown with their axis of symmetry.

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

#SPJ2

The inequality for the expression will be represented by n > 5.

The parameters present shows a geometric sequence. A Geometric sequence is the one in which the ratio between the consecutive terms remains constant. The constant ratio is called common ratio. The nth term of geometric sequence is represented by Tₙ = arⁿ⁻¹ where n is the number of terms, r is common ratio and a is the first term. Here, a = 15 and r = 3. Now, for the people to be more than 3000 the inequality can be written as

arⁿ⁻¹ > 3000

15 (3)ⁿ⁻¹ > 3000

3ⁿ⁻¹ > 200

Taking log on both sides

log 3ⁿ⁻¹ > log 200

(n - 1) > log 200/log 3

n - 1 > 4.82

n > 5.82

Rounding off we get

n > 5 which is required inequality.

Learn more about Inequality at:

brainly.com/question/26952835

#SPJ1

The surface area of a square pyramid, we need to add the area of each of its faces. In this case, we have four triangular faces and one square base. Let's start by finding the area of the square base. So, the surface area of the square pyramid is 384 square inches.

To find the surface area of a square pyramid, we need to add the area of each of its faces. In this case, we have four triangular faces and one square base

The area of a square is given by the formula A = s^2, where s is the length of a side. In this case, the base of the pyramid has a side length of 12 in, so its area is:

A = 12^2

A = 144 sq in

Now let's find the area of each triangular face. The formula for the area of a triangle is A = 1/2bh, where b is the base length and h is the height. Each triangular face has a base length of 12 in and a height of 10 in, so its area is:

A = 1/2(12)(10)

A = 60 sq in

Since there are four triangular faces, the total area of the triangular faces is:

4 × 60 = 240 sq in

Finally, we can add the area of the base and the area of the triangular faces to get the total surface area of the pyramid:

144 + 240 = 384 sq in

1. Identify the given measurements:

 Base length (b) = 12 in

 Triangular face base length (tf_b) = 12 in

 Triangular face height (tf_h) = 10 in

2. Calculate the surface area of the square base:

 Base area (A_base) = b^2 = (12 in)^2 = 144 sq in

3. Calculate the area of one triangular face:

 Triangular face area (A_tf) = 0.5 * tf_b * tf_h = 0.5 * (12 in) * (10 in) = 60 sq in

4. Since there are four triangular faces, find the total area of all triangular faces:

 Total triangular face area (A_tfs) = 4 * A_tf = 4 * (60 sq in) = 240 sq in

5. Finally, add the base area and the total triangular face area to find the surface area of the pyramid:

 Surface area (SA) = A_base + A_tfs = (144 sq in) + (240 sq in) = 384 sq in

So, the surface area of the square pyramid is 384 square inches.

Learn more about base length here:

brainly.com/question/9183298

#SPJ11

Answer:

1) 3*10^9

2) 6*10^-10

Step-by-step explanation:

To find scientific notation, it's a number between one and ten, times ten to the power of as many zeroes as needed.

Answer:

\(1.35*10^{-5}\)

You can simply convert them to their decimal form, then add and then make it scientific notation after you're done.

Hope this helps!

Answer: yes, indeed it is i forgot how it is but it is

The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

Read more on right prism here: https://brainly.com/question/31245490

#SPJ1

Answer:

I cant see whats on the page

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

13p + 15

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of \(ax^{n}\) is \(nax^{n} ^{-1}\)

\(13p^{1-1}\)

subtract 1 from 1

\(13p^{0}\)

For any term t except 0, \(t^{0}\) = 1

13 × 1

For ant term t, t × 1 = t and 1t = t

13

PS: Happy Almost Halloween too =)

.

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

Read more on Functions here: https://brainly.com/question/29890699

#SPJ11

Answer:

see the explanation below

Step-by-step explanation:

Given data

We are given that her salary is determined by the function

s= 7.25h

the relationship between h and s is a proportional relationship because

when h increases the value of s also increases and vice versa

check

for h= 2

s= 7.25(2)

s= 14.5

for h= 1.5

s= 7.25(1.5)

s= 10.875

Answer:

See below

Step-by-step explanation:

Stephanie's profit relationship:

Bryson's Tomato Sales, using the pairs of numbers let's find the relationship.

Since it is also linear relationship, we'll find a slope and y-intercept:

y-intercept is:

So the function is:

Comparing the functions:

The slope of g(x) is greater than f(x) but the y-intercept is smaller

It translates as: