The magnitude and direction of two forces acting on an object are 50 pounds, S62°E, and 120 pounds, N76°E, respectively. Find the magnitude, to the nearest hundredth of a pound, and the direction angle, to the nearest tenth of a degree, of the resultant force.

Answer:

-5

Step-by-step explanation:

\(-4xy\)

\(-4+4-5\)

\(-5\)

Hope this helped! :)

P.S. You might wanna practice PEDMAS for it is in this equation. ;)

Answer:

.......................................

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

(3×3 )+(1/2 ×3×4) ×4 = 33

Answer: 78120000 miles

Step-by-step explanation:

The compound amount when the second CD matures is approximately $74,183.94.

To calculate the compound amount when the second CD matures, we can use the formula for compound interest:

\(A = P(1 + r/n)^(nt),\)

where:

A is the compound amount,

P is the principal amount (initial deposit),

r is the annual interest rate (in decimal form),

n is the number of times the interest is compounded per year,

t is the number of years.

For the first CD:

P = $6,900,

r = 2.4% = 0.024,

n = 365 (compounded daily),

t = 2 years.

Using these values, we can calculate the compound amount at the end of the first CD:

A1 = $6,900(1 + 0.024/365)^(365*2).

For the second CD:

P = $6,900 + $56,900 = $63,800,

r = 2.9% = 0.029,

n = 365 (compounded daily),

t = 2 years.

Using these values, we can calculate the compound amount at the end of the second CD:

A2 = $63,800(1 + 0.029/365)^(365*2).

Now we can calculate the total compound amount when the second CD matures:

Total Compound Amount = A1 + A2.

Let's calculate each step:

A1 = $6,900(1 + 0.024/365)^(365*2).

A1 ≈ $7,085.58.

A2 = $63,800(1 + 0.029/365)^(365*2).

A2 ≈ $67,098.36.

Total Compound Amount = $7,085.58 + $67,098.36.

Total Compound Amount ≈ $74,183.94.

Therefore, the compound amount when the second CD matures is approximately $74,183.94.

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As the sales price is 65% off you find the 65% of the original cost and then substract it from the original cost:

The required polynomial function for the roots  -1, 0, and 2i is given by Q(x) = a ( x^4 + x^3 + 4x^2 + 4x ) .

If -1, 0, and 2i are roots of a fourth-degree polynomial function, then the function can be written in factored form as,

Q(x) = a(x + 1)(x - 0)(x - 2i)(x + 2i)

Note that since the roots come in conjugate pairs, (x - 2i) and (x + 2i) .

(x - 2i) × (x + 2i)

= ( x² - 4i² )

= ( x² + 4 )

Multiply to give a quadratic expression with real coefficients: x^2 + 4.

Simplify the expression as,

Q(x) = ax(x + 1)(x^2 + 4)

⇒ Q(x) = a ( x² + x ) ( x² + 4 )

⇒ Q(x) = a ( x^4 + x^3 + 4x^2 + 4x )

Therefore, the fourth degree polynomial function with given roots is equal to Q(x) = a ( x^4 + x^3 + 4x^2 + 4x ) .

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Answer:

Each pair of shoes cost 26$

Step-by-step explanation:

find the total cost for shirts

2 shirts * 12$ each

2 * 12 = 24

they spent 24$ on shirts

create an equation

24$ shirts + x$ shoes = 76$

24 + x = 76

subtract 24 from both sides of the equation

24 + x - 24 = 76 - 24

x = 76 - 24

x = 52

they bought 2 pairs of shoes that cost the same amount

52 = x + x

52 = 2x

divide both sides of the equation

52/2 = 2x/2

52/2 = x

26 = x

each pair of shoes cost 26$

Answer:

$40

Step-by-step explanation:

36 dollars. bc if its 30 percent then its less than half:)

The total displacement of the car after 5hrs is 0km.

                s =sf– si

where, s = displacement.

In the given graph, there is the change in distance covered with the time that is:

Thus, the displacement will be 0 km as the final point and initial point are the same.

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Answer:

$5 for a case of soda

Step-by-step explanation:

I hope this helps! :)

Answer: x = 4; x = 5

Step-by-step explanation:

The directions specify to solve by factoring

x^2 - 9x + 20 = 0

To factor, find two numbers that add to -9 and multiply to 20

-5 and -4 work

-5 + (-4) = -9

-5 * -4 = 20

(x - 4)(x - 5) = 0

x = 4, x =5

Answer:

when a fraction equals 100% it means it has the same numbers for its numerator and denominator such as 4/4 or 18/18

Step-by-step explanation:

When it has the same numbers for its numerator and denominator it will be 100%

The number of ways is an illustration of selections and arrangements.There are 16 ways to order a two-course meal.

An arrangement is defined as a combination of things that make up a design or that are laid out in a certain way

The given parameters are

Appetizer=8

Main=6

A person can choose 1 a-piece from each menu.

This means that:

There are 8 ways of selecting appetizers, and 2 ways of selecting the main courses.

So, the number of ways (n) is:

\(\rm n=Appetizer\times Main\)

\(n=8\times 2\)

\(n=16\)

Hence, there are 16 ways to order a two-course meal

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The triangles are similar by SAS (Side-Angle-Side) similarity.

option B is the correct answer.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

From the given diagram, we can see that the bases of the two triangles are not equal to each other but they have equal corresponding angles.

Thus, going by the criteria for similarity of triangles, we can conclude that the two triangles are similar by SAS since the lengths of each side of the triangle are of equal proportion.

9/15 = 3/5

So the answer will be;

Side - Angle - Side ( SAS)

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Answer:

B. 24

Step-by-step explanation:

just took the quiz and got it right

Answer:

Step-by-step explanation:

240 has a reference angle of 60 in the third quadrant. The side across from 60 is going to be negative in this quadrant, measuring -√3; the side adjacent to the angle is also negative in this quadrant, measuring -1. The tangent ratio is the side opposite the angle over the side adjacent to the angle, so

tan(240) = √3

Answer:

-240

Step-by-step explanation:

The social media marketing campaign for the new car is currently in the content creation stage, where the marketing team is shooting pictures and videos for the campaign.

The development of a social media marketing campaign typically involves several stages, including planning, content creation, implementation, and evaluation. In this case, since the marketing team is shooting pictures and videos for the campaign, it indicates that the campaign is in the content creation stage.

During the content creation stage, the marketing team focuses on creating compelling and engaging content that aligns with the campaign's goals and target audience. This stage involves activities such as photoshoots, video production, graphic design, and copywriting. The team aims to capture visually appealing and persuasive content that effectively promotes the new car and generates interest among potential customers.

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Answer:

288

Step-by-step explanation:

1. 176 = 55% × N

2. 176 = \(\frac{55}{100}\) × N

3. N= 176×\(\frac{100}{55}\)

4. N=320

5. \(\frac{90}{100}\) × 320

=288

Answer:

√3 + 1

Step-by-step explanation:

Step below are self-explanatory

Answer:

90.75 cm^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2) *h

where b1 and b2 are the lengths of the bases and h is the height

A = 1/2(8.5+ 15.7) * 7.5

1/2 (24.2) 7.5

90.75 cm^2

The length of the rivet should be 3/8 inch to pass through the two sheets of metal.

We must take into account the shank length as well as the thickness of the two metal sheets.

Assumed:

The thickness of the two metal sheets and the shank length must be added to determine the overall length of the rivet:

Total length = 2 * (Thickness of sheet metal) + Shank length

Substituting the values:

Total length = 2 * (1/16 inch) + 1/4 inch

Calculating the values:

Total length = 1/8 inch + 1/4 inch

Total length = 1/8 inch + 2/8 inch

Total length = 3/8 inch

So, the length of the rivet should be 3/8 inch to pass through the two sheets of metal.

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Answer:

there is no division symbol on laptops, but you could either search it up and copy and paste it or write it as a fraction

Answer:

I believe you can do / for division, the same symbol for fractions, on most, however, there is another way.

I typed Alt-246. Press and hold the Alt key while you type 2 4 6 on the numeric keypad, not the numbers across the top of the keyboard. You need to have Num-lock on.

÷

Another useful one is Alt-241, which is the plus or minus symbol: ±

These are extended ASCII codes. They work on a PC. There is something similar on a Mac, but I don't know what it is. You could look it up on the internet.

To find the series solution for the differential equation y'' + 2xy' + 2y = 0, we can assume a power series solution of the form:

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² + 2x ∑(n=0 to ∞) aₙn xⁿ⁻¹ + 2 ∑(n=0 to ∞) aₙxⁿ = 0

We can simplify this equation by combining the terms with the same powers of x. Let's manipulate the equation step by step:

We can combine the three summations into a single summation:

∑(n=0 to ∞) (aₙ₊₂(n+1)n + 2aₙ₊₁ + 2aₙ) xⁿ = 0

Since this equation holds for all values of x, the coefficients of the terms must be zero. Therefore, we have:

This is the recurrence relation that determines the coefficients of the power series solution To find the series solution, we can start with initial conditions. Let's assume that y(0) = y₀ and y'(0) = y'₀. This gives us the following initial terms:

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43% of elementary students chose something other than blue, red, or yellow as their favorite color.

Blue: 24%

Red: 17%

Yellow: 16%

Total: 24% + 17% + 16% = 57%

Percentage chose something other:

100% - 57% = 43%.

Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.

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Answer:

A, B, C, and E

Step-by-step explanation:

A quadrilateral just means the shape has four sides so it wouldn't necessarily have opposite sides that are the same length

answer : parallelogram

explanation : parallelogram has opposite sides are same in length

Answer:

7\(\frac{1}{8}\)

Step-by-step explanation:

you need to put 4 in where it says z and then solve it

If  (12, -33) is solution of Equation then LHS= RHS.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We have the points (12, -33).

As, we know that the points are said to be the solution of equation if the LHS part of Equation becomes equal to RHS part of Equation.

For instance we have Equation x+ 2y= 3.

Then we have solution of the Equation then by solving x+2 y we get the value 3.

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