Given the vector u equal to 7 (cos 310°, sin 310°) and vector v equal to
2 (cos 115°, sin 115°), find the sum u + v and write your answer in magnitude
and direction form with the magnitude rounded to the nearest tenth and the
direction rounded to the nearest degree, 0° ≤ 0 < 360°.

To calculate how much they ate between the two of them, the amounts each ate must be added:

[tex]\begin{gathered} \sf \frac{3}{8} + \frac{4}{16} = \\ \\ \sf\frac{16 \div 8 \times 3 + 16 \div 16 \times 4}{16} = \\ \\ \sf\frac{6 + 4}{16} = \\ \\ \sf \frac{10}{16} = \red {\boxed{ \sf \frac{ \green5}{ \green8} }}\end{gathered}[/tex]

Therefore, between the two of them they ate five eighths of pizza.

To add heterogeneous fractions, fractions with different denominators, follow these steps:

Merry Christmas and Happy New Year

To calculate how much they ate between the two of them, the amounts each ate must be added:

[tex]\begin{gathered}\begin{gathered} \bold{ \frac{3}{8} + \frac{4}{16}} \\ \\ \bold{\frac{16 \div 8 \times 3 + 16 \div 16 \times 4}{16}} \\ \\ \bold{\frac{6 + 4}{16}} \\ \\ \bold{ \frac{10}{16} }= {\boxed{ \sf \frac{ \bold5}{ \bold8} }}\end{gathered}\end{gathered} [/tex]

[tex]\therefore[/tex] Between the two of them they ate five eighths of pizza.

To add heterogeneous fractions, fractions with different denominators, follow these steps:

Find the common denominator, which is the least common multiple of the denominators.

Divide the common denominator by the other denominator and multiply by the numerator.

Write the results obtained above as numerators with the Sign of the sum between them.

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify 6/8.

4 =

6/8 = 3/4

1/5 mi/hr mulitplied by 1 hr = 1/5 mi

Therefore the solution for this question is  the unit price of each pair of gloves is $7.99.

One of the four fundamental arithmetic operations, or the process by which two or more numbers are added together to create a new number, is division. Multiplication, addition, and subtraction round out the list of operations.

Here,

The cost of 6 pairs of gloves  = $47.94

Now, the unit price = Price per unit of the given item

Let x be the unit price of the glove

thus

x=47.94/6

x=7.99

or it can be written as price of glove=$7.99

Therefore, Unit price of the glove = $7.99

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Answer:

a)  4,000 meters

b)   - 56.25% (or -56% with 2 sig figs

Step-by-step explanation:

Calculate the total distance Ahmad jogged on both days.  This will require a conversion unit to make the distances the same units.

Sat.:  3200 m

Sun:       1.8 km

(1,000m/km)

(1.8km)*(1,000 m/km) = 1,800 m jogged on Sunday

Total distance jogged = 3,200 m + 1,800 m = 4,000 meters total jogged

a)  Percentage jogged on Saturday:

 (3,200 m)/(4,000 m) = 0.80 or 80%

b)  Percentage Decrease (From Saturday to Sunday):

    Sat:  3200 m

    Sun: 1800 m

Difference = 1400 m (decrease)

Percentage Decrease = (1800/3200) = 56.25%

Ahmad's distance on Sunday was a 56.25% decrease from Saturday.

Answer:

b

Step-by-step explanation:

Answer:

-4[tex]p^{4}[/tex] + [tex]12p^{3}[/tex] - 5[tex]p^{2}[/tex]

Step-by-step explanation:

[tex]-8p^{4}[/tex] + [tex]12p^{3}[/tex] + [tex]4p^{4}[/tex] - [tex]8p^{2}[/tex] + [tex]3p^{2}[/tex]  Combine the terms with the same exponents

([tex]-8p^{4}[/tex] + [tex]4p^{4[/tex]) + [tex]12p^{3}[/tex] + ([tex]-8p^{2}[/tex] + [tex]3p^{2}[/tex])

[tex]-4p^{4}[/tex] + [tex]12p^{3}[/tex] - [tex]5p^{2}[/tex]

[tex]30=2.5x \\ \\ 60=5x \\ \\ x=\boxed{12}[/tex]

The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Mrs. Larsen wants to get some markers for her class.

She notices that they come in boxes of 8.

Now,

Let total number of markers = y

And, Number of boxes = x

Here, She notices that they come in boxes of 8.

So, We can formulate;

⇒ y = 8x

Thus, The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

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when N is divided by 8, the result is greater than 5 the least possible integer value of N is 48.

Zero, a positive natural number, or a negative integer with a minus sign are all examples of integers. The additive inverses of the positive numbers are the negative numbers. The boldface Z is frequently used in mathematics to denote the set of integers.

the least possible integer greater than 5 is 6,

and when 6 × 8 = 48 thus,

the least possible integer value of N is 48.

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Required equation of points plotted on graph relating range gain(k) and charging time(t) is k=4t.

A two-variable linear equation is one in which both variables have exponent 1.

An object in geometry known as a line is simply one that is described as being straight, thin, one-dimensional, zero width, and extending on both sides to infinity.

In essence, a straight line is just a line devoid of any bends.

Additionally, we can state that any line that crosses two certain points on the same plane will be singular.

Straight line form

m= y 2. – y 1/x 2-x 1

y-y 1=m (x-x 2)

A (0,0) and B (5,20)

([tex]x_{1}[/tex],[tex]y_{1}[/tex]  ) = (0,0) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) = (5,20)

m = 20-0/5-0

   = 20/5

   = 4

([tex]x_{1}[/tex],[tex]y_{1}[/tex]  ) =(0,0)

y-0=4(x-0)

y=4x

Replace y with k and x with t

k=4t

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The verb that corresponds to laugh based on the option is D. mock.

A verb is a word that denotes an action that is physical. Verbs are words that describe an action, an occurrence, or a state of being (exist). There must be a verb in almost every sentence. The infinitive is a verb's fundamental form.

It should be noted that mock simply means to laugh at or make fun of (someone or something) especially by copying an action or a way of behaving or speaking.

Therefore, based on the information, the correct option is D.

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Complete question

The verb corresponding to laugh

attend

drink

prophesy

mock

theorize

it has one solution

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

Answer:

$24.95

Step-by-step explanation:

2.99 times 4 is 11.96, and you would add that with 12.99 to get 24.95.

Answer:

Jaylen have left 23.05 $

Step-by-step explanation:

5 pounds of apples =  12.99 $

4  cupcakes             = 2.99 $/apple

Total money = 48 $

All the cupcakes costs = 4*2.99 = 11.96 $

Then she bought in total:

48 -(12.99 + 11.96)

48 - 24.95 = 23.05

The unit rate of the first employee is $29 an hour and the second is $22 an hour.

What is the rate?

Rates are a special type of ratio that incorporates the dimension of time into the denominator. Familiar examples include measurements of speed (miles per hour) or water flow (gallons per minute). Example #1: If a car travels 24 miles in 2 hours, its average speed is a rate of 24 miles/ 2 hours = 12 miles/hr.

We have,

given the two graphs, which show the earnings on the x-axis and time(hr) on the y-axis of both employees working at the same company.

Both earn money at constant rates.

and the points on the graphs are

points on the graph of employee 1 earnings:-

(2, 58) and (3, 87)

the rate of earnings

58/2 = 29

87/3 = 29

points on the graph of employee 2 earnings:-

(1, 22)

the rate of earnings

22/1 = 22

Hence, the unit rate of the first employee is $29 an hour and the second is $22 an hour.

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The equation the represent the event of taking Mrs. Evans taking 9 students to an amusement park and Mr. Sanchez is taking 14 students to a water park is

The problem is solved using simultaneous equation, the equations required is derived as follows:

Amusement park

Admission: $2x per student

Ride Fee: $3.00

Mrs. Evans is taking 9 students to an amusement park

9($2x + $3.00)

Water park

Admission: $x per student

Ride Fee: $4.50

Mr. Sanchez is taking 14 students to a water park

14($x + $4.50)

The total cost is the same for both groups of students

9($2x + $3.00) = 14($x + $4.50)

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38/53 is as simplest form.

As 53 is a prime no. and they do not have a common factor 38/53 can not be simplified further.

A fraction is written in the form of p/q, where .

Fractions are of two types. They are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, a fraction 38/53.

Now 38 = 2×19 but 53 is a prime number 53 = 1×53 so they do no have any common factor to simplify.

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The speed when the train travels 440 kilometers in 4 hours is 110 km per hour.

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

In this case, the train leaves the station at time t=0. Traveling at a constant speed, the train travels 440 kilometers in 4 hours.

The speed will be:

= Distance / Time

= 440 / 4

= 110 km per hour.

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Complete question

A train leaves the station at time t=0. Traveling at a constant speed, the train travels 440 kilometers in 4 hours. Calculate the speed.

Answer:

The small box can hold 4 to 6 lbs, so it can hold the 3.1 lb book and 2.4 lb book. The large box can hold 8 to 9 lbs, so it can hold the 3.1 lb book, but not the 2.4 lb book.

Step-by-step explanation:

a. The given sequence is not an arithmetic sequence.

b. The distance a falling body covered in t = n seconds of movement is 5n²meters.

What is the distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Here, we have

a. A sequence can be said arithmetic sequence if the difference between any two consecutive terms remains the same.

In this case, the difference between 20 and 5 is 15, and the difference between 45 and 20 is 25, this shows that the difference between two consecutive terms is not the same.

Hence, it can be said that the given sequence is not an arithmetic sequence.

b. To evaluate the distance covered by the body in “n” seconds, Substitute t=n in d(t) then d(n) will represent the distance covered by the body in “n” seconds

d(n)=1/2 g(n)²

d(n) = 1/2(10)(n)²

d(n) = 5n²meters

Hence, the distance a falling body covered in t = n seconds of movement is 5n²meters.

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The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The population has increased by 51.56% from last year to this year.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of population last year = 2,639,000,000

Number of population this year = 3,999,635,444

The best estimate of the total population of last year and this year.

= [ (3,999,635,444 - 2,639,000,000) / 2,639,000,000 ] x 100

= ( 1360635444 / 2,639,000,000 ) x 100

= 51.56 %

Thus,

The population has increased by 51.56% from last year to this year.

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Answer:

None? Are you sure you copied the question right?

Step-by-step explanation:

x^2 - 3x - 4 = | x+3 | -2

Substitute

(-4)^2 - 3(-4) - 4 = | (-4)+3 | -2

16 + 12 -4 = 1-2

Not equal

(−3)^2 - 3(−3) - 4 = | (−3)+3 | -2

9+9-4 = -2

Not equal

(−1)^2 - 3(−1) - 4 = | (−1)+3 | -2

1 -3 -4 = 2-2

Not equal

4^2 - 3(4) - 4 = | 4+3 | -2

16 - 12-4 = 7-2

If you currently hold a learner's permit, you must complete 50 hours of practice driving under supervision, including at least 15 hours after dusk, before you may take a road test to get a class e license.

The candidate receives a learner's license after passing a written or online exam that assesses his understanding of traffic laws.

Thus, if you currently hold a learner's permit, you must complete 50 hours of practice driving under supervision, including at least 15 hours after dusk, before you may take a road test to get a class e license.

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Answer: [tex]-\frac{23}{2}h+\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]\frac{7}{2}h-15h+\frac{3}{2}\\\\\frac{7}{2}h-\frac{30}{2}h+\frac{3}{2}\\\\-\frac{23}{2}h+\frac{3}{2}[/tex]

Answer:25

Step-by-step explanation:

3

5

Answer:

a) yes

b) yes

c) no

d) yes

Step-by-step explanation:

-2 + 5 = 3

5-2 = 3

-2 - (-5) = -2 + 5 = 3

-2 - 5 = -7

5 + (-2) = 5-2 = 3

Answer:

(x + 8)^2 + y^2 = (x - 8)^2

Step-by-step explanation:

Answer: [tex]x\leq 0[/tex]

Step-by-step explanation:

The first thing we need to do is to make the argument or the number inside the square root equal or larger than zero:

-2x ≥ 0

x ≤ 0/-2

x ≤ 0

So the given expression only makes sense for x that is less than or equal to zero.

The conjugate of the expression (-3 + 8i) is (-3 - 8i)

From the question, we have the following parameters that can be used in our computation:

(-3 + 8i)

The above expression is a complex number

A complex number is represented as

a + bi

Such that its conjugate is a - bi

This means that we simply negate the imaginary part

So, we have

Expression = (-3 + 8i)

Conjugate = (-3 - 8i)

Hence, the conjugate is (-3 - 8i)

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The least expensive per pound is Customer A.

It should be noted that expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

The rate for the first customer will be:

= $14.50 / 1.75

= $8.29 per pound.

The second Customer rate will be:

= $26.25 / 2.5

= $10.5 per pound

The third Customer will be:

= $5.50 / 0.375

= $14.47 per pound.

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Answer:

Your question choices are messed up fix and I can help

Step-by-step explanation:

:)