Let u = 4 at an angle of 210° and v = 9 at an angle of 315º, and w = u - v. What is the magnitude and direction
angle of w?

w = 5.5; theta = 156.1°
w = 5.5; theta = 203.9°
w = 10.8; theta = 156.1°
w = 10.8; theta = 203.9°

My recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs. This combination offers the highest profit potential based on the given prices and costs.

In order to maximize their profit, Carlos and Clarita should choose the combination of cats and dogs that yields the highest total profit.

In order to make a reasonable recommendation, we can create a profit table based on different values of x and y:

x y Total Profit

0 0 0

1 0 6

0 1 15

1 1 21

2 1 27

1 2 30

2 2 36

3 2 42

2 3 45

3 3 51

From the table, we can see that the highest total profit is achieved when they accommodate 3 cats and 3 dogs. This combination would result in a daily profit of $51.

Therefore, my recommendation to Carlos and Clarita would be to prepare for 3 cats and 3 dogs.

Learn more about profit on

https://brainly.com/question/1078746

#SPJ1

Answer:

-6

Step-by-step explanation:

Using PEMDAS , division comes first.  

4 ÷ 2 - 8

= 2 - 8

= -6

Answer:

7

Step-by-step explanation:

Going through synthetic division, we get 7 as remainder

Answer:  b commutative property

Step-by-step explanation: idid the test and i got it right

The property of algebra that allowed jakob simplify the given expression as stated is called; B: The commutative Property

She wants to simplify the expression -3a + 4b + 5a + (-7b)

Now, there are different properties of algebra but the one that jakob used here is called commutative property of algebra.

Commutative property is expressed as an example like;

a + b = b + a

Thus, using commutative property, he arrived at –3a + 4b + 5a + (–7b) = –3a + 5a + 4b + (–7b).

Read more about commutative property at; https://brainly.com/question/2475734

He would have saved $87,221.02  after 1 year

He would have saved $268,335.90   after 3  years

What is an ordinary annuity?

An ordinary annuity means a fixed amount invested at specific intervals, in this case, $7,185.51 is invested monthly, which means that its future value can be computed using the future value formula of an ordinary annuity as shown below:

FV=PMT*(1+r)^N-1/r

FV=future value of an ordinary annuity

PMT=monthly payment invested every month

r=monthly interest rate=annual interest/12

N=number of months that monthly payments were

FV after 1 year:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in 1 year=12

FV=$7,185.51*(1+0.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*(1.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*0.02528845698324970/0.00208333333333333

FV=$87,221.02

FV after 3  years:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in  3 years=36

FV=$7,185.51*(1+0.00208333333333333)^36-1/0.00208333333333333

FV=$268,335.90

Find out more about future value of an ordinary annuity on:brainly.com/question/24703884

#SPJ1

Answer:

what is the expressio

Step-by-step explanation:

Answer: serbia

Step-by-step explanation:

Answer:

of which can be considered the “correct” value. The percent difference is the absolute value of the difference over the mean times 100. quantity, T, which is considered the “correct” value. The percent error is the absolute value of the difference divided by the “correct” value times 100.

Step-by-step explanation:

↪ Hello mister here's your answer for the question you wrote.

Step by step solution :

Expand (x−2)(x−4)

x⋅x+x⋅−4−2x−2⋅−4

Answer :

x2−6x+8

---

Remember if my answer helps you! Might give me a thank you! By clicking the heart .

Answer:

Umm, like what pound, where is it from, what is the variety? I will edit this once you make your question more specific.

Step-by-step explanation:

If you are asking about 50 pound bags, it will be $559.8. If you are asking about 20 pounds, it is $169.6.

Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

1/4 is equivalent to a quarter or 25/100. That makes it equal to 25%

Answer:

25%

Step-by-step explanation:

please mark me as brainlest

Answer: 1000000

Step-by-step explanation:

Answer:

answer 1000000

have a nice day

Answer:

54

Step-by-step explanation:

two ways:

1. find the area of the trapesium

1/2(sum of parallel sides)x height

= 1/2(7+2)×12

1/2(9x12)

1/2(108)

= 54

Or

you can divide the figure into 2 parts, rectangle and triangle,

so you find the area of triangle(1/2basexheight) and then the area of rectangle (length x width)

and then add the two areas. it should also give you same answer.

let me know if it makes sense

Answer:

(x- 7)(x- 7)

Step-by-step explanation:

\(49 - 14x + {x}^{2} \\ \\ = {x}^{2} - 14x + 49 \\ \\ = {x}^{2} - 7x - 7x + 49 \\ \\ = x(x - 7) - 7(x - 7) \\ \\ = (x - 7)(x - 7)\)

Answer:

(x-7)^2

Step-by-step explanation:

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

Learn more on the Thales theorem here: https://brainly.com/question/14417137

#SPJ1

Answer:

60

Step-by-step explanation:

12x5 is equal to 60

Answer:

Sam Houston

Sam Houston, c. 1850

7th Governor of Texas

In office December 21, 1859 – March 15, 1861

Lieutenant Edward Clark

Step-by-step explanation:

The value of c is a real solution to the equation \(4x^{2}-8x +c\) = 0 is 4

In algebra, a "real solution" is any answer to an equation that is a real number.

There is just one true solution where discriminant b2 - 4ac equals zero. The equation x2 + 2x + 1 = 0 has one solution, x = -1.

Depending on whether the discriminant is positive, zero, or negative, there are many answers to the quadratic equation that has been presented.

A positive discriminant indicates that the quadratic has two distinct real number solutions.

A discriminant of zero indicates that the quadratic equation has a repeating real number solution.

The quadratic equation given is

\(4x^{2}-8x +c\) = 0

For real solution

Discriminant = 0

\(b^{2}-4ac\) = 0

\(8^{2}-4(4)(c)\) = 0

64 - 16c = 0

-16c = -64

c = 4

The value of c is a real solution to the equation \(4x^{2}-8x +c\) = 0 is 4

To know more about Real Solution

https://brainly.com/question/4526506

#SPJ1

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

for such more question on Bryan invested

https://brainly.com/question/20690803

#SPJ8

Answer:

I would say 1,749,600

Step-by-step explanation:

Answer:

I think its C

Step-by-step explanation:

You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

Learn more about Monthly Cost  at

https://brainly.com/question/24093839

#SPJ1

Answer:

Susan has 25 fish.

Step-by-step explanation:

25+18=43

18+7=25

Answer:

25 is the answer.

Step-by-step explanation:

25+18=43

18+7=25

Answer:

a) 65.3

b) 2.8 x \(10^{4}\)

Step-by-step explanation:

a)

When you multiply by 10, you move the decimal 1 place to the right.

b)

You move the decimal so that the number will be between 1 and 10.  You move the decimal point 4 places.

2.8 x \(10^{4}\)

6.3 units

The formula for calculating the distance between two points is given as:

Given the following coordinate points

A(2,4) and B(8,2)

Substitute the given parameters into the formula to have:

Hence the distance between the points (2,4) and (8,2) round to the nearest tenth is 6.3 units

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

Difficulties regarding the emotions of your body.

Step-by-step explanation:

Difficulties regarding the emotions of your body.