To find the sum of vectors u and v, we can add their components separately:
(u + v)x = (7cos 310° + 2cos 115°)
(u + v)y = (7sin 310° + 2sin 115°)
Using a calculator to evaluate these expressions, we get:
(u + v)x = -2.16
(u + v)y = 8.48
The magnitude of the sum vector u + v can be found using the Pythagorean theorem:
|u + v| = √((u + v)x^2 + (u + v)y^2)
= √(-2.16^2 + 8.48^2)
= √(72.3584)
= 8.51
The direction of the sum vector u + v can be found using the inverse tangent function:
θ = tan^(-1)((u + v)y / (u + v)x)
= tan^(-1)(8.48 / -2.16)
= tan^(-1)(-3.928571428571429)
= 143.13°
Rounding the magnitude to the nearest tenth and the direction to the nearest degree, we get:
u + v = 8.5 (cos 143°, sin 143°)
Therefore, the sum of vectors u and v is equal to 8.5 (cos 143°, sin 143°).
Jaylen bought 5 pounds of apples for 12.99 and 4 cupcakes for 2.99 each. He went to the store with $48. How much did Jaylen have left after his shopping trip?
23.05
37.94
10.06
24.95
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
what is the conjugate of (-3+8i)?
The conjugate of the expression (-3 + 8i) is (-3 - 8i)
How to determine the conjugate?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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30 is 250% of what number? I will give brainliest!
[tex]30=2.5x \\ \\ 60=5x \\ \\ x=\boxed{12}[/tex]
when $n$ is divided by $8$, the result is greater than $5$. what is the least possible integer value of $n$?
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.
Positive integers: If a number is greater than zero, it is positive. Example: 1, 2, 3 . . .Negative integers: If a number is less than zero, it is negative. Example: -1, -2, -3 . . .Zero cannot be thought of as either a negative or a positive integer. It's an entire number.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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A package of 6 pair of inulated glove cot $47. 94 what i the unit price of the pair of glove?
Therefore the solution for this question is the unit price of each pair of gloves is $7.99.
What is division?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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A store ships books by weight a small box can hold 4 to 6 pounds while a large box can hold 8 to 9 pounds how much can each box hold
Small box= 4 to 6 lbs
Large box= 8 to 9 lbs
Book weights large 3.1 lbs
Small 2.4 lbs
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:
4. The chart below represents the kinematics of a freely falling body.
Time
(seconds t)
Total Distance
meters d (t)
1
5
2
20
45
80
125
3
4
5
a. Is the relationship between time and distance an arithmetic sequence?
Explain.
b. The total distance a freely falling body covers in time, t, is given by the equation d(t)=1/2 gt2, where g is constant at 10 m/s². Show, in terms of n, the distance a falling body covers in t = n seconds of movement.
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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Josefina ate 3/8 of the pizza and Leando ate 4/16. How much did they eat between the two of them?
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:
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.Add the numerators.Simplify the result if possible.Merry Christmas and Happy New Year
The Alpha.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.
Add the numerators.Simplify the result if possible.There are 75 fifth graders and 125 fourth graders. They are going to be grouped in teams for Field Day with the same number of students on each team. If there must be the same number of fifth graders on each team, how many teams can there be at most?
Answer:25
Step-by-step explanation:
3
5
-8p^4 +12p^3 +4p^4 -8p^2 +3p^2
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]
Mrs. Evans is taking 9 students to an amusement park. Mr. Sanchez is taking 14 students to a water park. Each student will buy a ticket to the appropriate park and pay for a ride fee. Admission to the amusement park is 2 times that of the water park's admission as shown in the table. The total cost is the same for both groups of students.
Amusement Park
Water Park
Admission: $2x per student
Admission: $x per student
Ride Fee: $3.00
Which equation represents the problem?
Ride Fee: $4.50
O A) 9(x + 4.50) = 14(2x + 3.00)
O B) 9(x + 3.00) = 14(2x + 4.50)
O C) 9(2x + 4.50) = 14(x + 3. 00)
O D) 9(2x + 3. 00) = 14(x + 4.50)
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
D) 9(2x + 3.00) = 14(x + 4.50)How to find the expression that represent the problemThe 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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Mrs. Larsen wants to get some markers for her class. She notices that they come in boxes of 8. Write an equation that shows how the total number of markers mrs. Larsen gets, y, depends on the number of boxes she buys, x.
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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Determine if the following system of
equations has no solutions, infinitely
many solutions or exactly one solution.
-6x + 5y
-11x+10y
One Solution
=
=
-9
- 17
O No Solutions
O Infinitely Many Solutions
it has one solution
.............................
PLEASE HELP ASAP!!!!!! I WILL GIVE BRAINIEST!!!!! I only need 2 and 3. Please explain your answer so I can understand this!!
The least expensive per pound is Customer A.
How to illustrate the expression?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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which of the following sets of data represent valid functions?
Answer:
b
Step-by-step explanation:
Ahmad jogged a distance of 3200 m on Saturday and a distance of 1.8 km on Sunday.
(a) Express the distance he jogged on Saturday as a percentage of the total distance jogged on both days.
(b) Find the percentage decrease in the distance he jogged from Saturday to
Sunday.
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.
Sustantivo correspondiente a reír atender veranear invernar beber profetizar valorar burlarse teorizar
The verb that corresponds to laugh based on the option is D. mock.
What is a verb?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
The square root of (-2x)^2 for which values of x does the expression makes sense?
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.
A train leaves the station at time t=0. Traveling at a constant speed, the train travels 440 kilometers in 4 hours. Answer parts a and b.
The speed when the train travels 440 kilometers in 4 hours is 110 km per hour.
How to calculate the speed?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.
The population last year was 2,639,000,000. This year the population is 3,999,635,444. Which is the best estimate of the total population of last year and this year?
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.
What is a percentage?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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Write an equation for (k) and (t)
Required equation of points plotted on graph relating range gain(k) and charging time(t) is k=4t.
What is linear equation in two variables?A two-variable linear equation is one in which both variables have exponent 1.
What is straight line?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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standard equation of a parabola with a vertex of (0,0) and a focus of (-8,0)
Answer:
(x + 8)^2 + y^2 = (x - 8)^2
Step-by-step explanation:
if you have a learner's license, how many hours of driving experience are required to earn the class e license?
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.
Explain the term learner's license?The candidate receives a learner's license after passing a written or online exam that assesses his understanding of traffic laws.
You may practice driving the public roads after receiving a learner's permit as long as you are supervised by someone who has a valid driving license.Before being permitted to receive a full driver's license, first-time drivers must first obtain a driver's permit, sometimes referred to as a learner's permit, driver's licence license, or provisional license. Prior to passing your driving test, you are able to drive (with some restrictions) if you obtain a driver's permit. Each state has a different minimum age requirement for obtaining a driver's license.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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Simplify the expression below
7/2h - 3(5h - 1/2)
step by step please
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]
Select yes or no to state if the expression is equivalent to -2 + 5
A. 5 - 2 yes or no
B. -2 - (-5) yes or no
C. -2 - 5 yes or no
D. 5 + (-2) yes or no
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
What is the answer i need answers now I'm am going to fail
pls explain to
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.
What is a fraction?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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Please Help!!!
Given f(x)=x2−3x−4 and g(x)=|x+3|−2 , which value is a solution to the equation f(x)=g(x) ?
A −4
B −3
C −1
D 4
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
$21 per hour
The graphs show the earnings of two employees working at the same company. Both
earn money at constant rates.
Drag to the table the unit rate that matches each graph.
$22 per hour
Unit Rate
Graph
$58 per hour
Earnings (S)
$29 per hour
DRAG AND DROP
AN ITEM HERE
160
140-
120-
100-
80-
60-
40-
(3.87)
(258)
Earnings (5)
DRAG AND DROP
AN ITEM HERE
160-
140-
CLEAR
120-
100-
80-
60-
CHECK
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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If Harry travels 4 and 6/8 of a mile in 5 hours on his broomstick. How far will he travel in 1 hour?
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
What is the slope of line a?
13
12
11
10
6
do
9
is
-
(5.7)
(x,y)
11
a
Answer:
Your question choices are messed up fix and I can help
Step-by-step explanation:
:)