plzzzz help meee.......
Answer: [tex]-3\hat{i}-6\hat{j}+2\hat{k}[/tex]
Step-by-step explanation:
Given
[tex]\vec{a}=2\hat{i}+4\hat{j}-5\hat{k}\\\vec{b}=\hat{i}+\hat{j}+\hat{k}[/tex]
[tex]\vec{c}=\hat{j}+2\hat{k}[/tex]
The addition of the three is [tex]\vec{a}+\vec{b}+\vec{c}[/tex]
[tex]\vec{a}+\vec{b}+\vec{c}=(2\hat{i}+4\hat{j}-5\hat{k})+(\hat{i}+\hat{j}+\hat{k})+(\hat{j}+2\hat{k})[/tex]
[tex]\vec{a}+\vec{b}+\vec{c}=3\hat{i}+6\hat{j}-2\hat{k}[/tex]
vector opposite to the vector [tex]\vec{a}+\vec{b}+\vec{c}\ \ \text{is}\ -(\vec{a}+\vec{b}+\vec{c})[/tex]
[tex]\therefore -(\vec{a}+\vec{b}+\vec{c})=-3\hat{i}-6\hat{j}+2\hat{k}[/tex]
1
Select the correct answer.
What is the general form of the equation of a circle with center at (a, b) and radius of length m?
OA. x + y2 - 2ax – 2by + (a? + b2 - m?) = 0
OB.
x+y + 2ax + 2by+ (a1 + b2 - m?) = 0
O c.
x + y2 - 2ax - 2by + (a + b-m) = 0
OD. x + y2 + 2ax + 2by + 32 + b2 =-m?
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The general form of an equation of a circle with center at (a, b) and radius of length m is x² + y² - 2ax - 2by + (a² + b² - m²) = 0.
What is Circle?Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.
Standard form of a circle is given by the equation,
(x - h)² + (y - k)² = r²
where, (h, k) is the center of the circle and r is the radius of the circle.
Here center is given as (a, b).
Radius is given as m.
Substituting,
(x - a)² + (y - b)² = m²
x² - 2ax + a² + y² - 2by + b² = m²
x² + y² - 2ax - 2by + (a² + b²) = m²
x² + y² - 2ax - 2by + (a² + b² - m²) = 0
Hence the required equation is, x² + y² - 2ax - 2by + (a² + b² - m²) = 0.
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Write (5.64) x 10-7 as a decimal.
Answer:
16.92
Step-by-step explanation:
5.64 x 3 = 16.92
Hope that helps!
A tabletop in the shape of a trapezoid has an area of 5029 square cenimeters. Its longer base measures 123 cenimeters, and the shorter base is 65 cenimeters. What is the height?
Answer:
Length of height = 53.5 cm
Step-by-step explanation:
Given:
Area of trapezoid = 5,029 cm²
Length of longer base = 123 cm
Length of shorter base = 65 cm
Find:
Length of height
Computation:
Area of trapezoid = [(a+b)/2]h
5,029 = [(123 + 65)/2]h
5,029 = [(188)/2]h
5,029 = [94]h
Length of height = 53.5 cm
Kevin is making a picture frame. He has a piece of trim that is 3 feet long.
How many 14−inch-long pieces can Kevin cut from the trim?
How much of a foot will he have left over?
Kevin can cut______ 14−inch-long pieces with______ of a foot left over.
60 points for three questions. please help meeee
Answer:
The first one is D
Step-by-step explanation:
Answer:
First one is D neither .
second one is 3 .
third one is :
x intercept : -13/6
y intercept = 13
Las calificaciones obtenidas por un grupo de 49 alumnos en una prueba con las siguientes: 3.0; 5.5; 4.4; 6.0; 4.3; 7.2; 4.7; 6.5; 6.7; 4.0; 5.9; 5.8; 1.4; 3.2; 5.8; 4.6; 4.1; 3.5; 6.8; 5.0; 5.9; 2.1; 4.2; 4.5; 4.1; 4.8; 2.8; 4.7; 7.7; 6.0; 3.0; 5.7; 4.5; 4.9; 3.3; 4.8; 4.7; 7.7; 6.0; 3.0; 5.7; 4.5; 4.9; 3.3; 4.8; 4.7; 5.2; 3.8; 6.1. Agrupa en siete intervalos estos datos y construye la tabla de frecuencias correspondientes, hallando los valores de la media, la mediana y la moda de los mencionados datos
Answer:
nosejgivuguvug7gug7g7g
Step-by-step explanation:
pol
Mrs. Doan spends $36 at a carnival. This is 75% of the money she brings to the carnival. How much money does Mrs. Doan bring to the carnival?
Answer:
$48
Step-by-step explanation:
round nearest hundredth
Answer:.
Step-by-step explanation:nearest hundredth the answer for this question is joe mama
What is the sum of 10.347+4.178=
Answer:
The answer is 14.525
Step-by-step explanation:
10. 347
+ 4. 178
_________
14 . 525
Thus, the answer is 14.525.
A class spent hour on art and 1 /3 hours on art and 1 1/3 hours on mathematics. How much time did the class spend on art and mathematics?
A. 2 /3 hour
B. 1 hour
C. 1 1/2 hours
D. 2 1/3 hours
E. 1 2/3 hours
The students in total spend [tex]1\frac{2}{3}[/tex] hours in both the classes.
What is addition?Addition in math is a process of combining two or more numbers.
Given that, A class spent hour on art and 1 /3 hours on art and [tex]1\frac{1}{3}[/tex] hour on mathematics.
To find the total time, will add both the time,
[tex]=\frac{1}{3} + 1\frac{1}{3}\\ = \frac{1}{3} + \frac{4}{3} \\= \frac{5}{3} \\= 1\frac{2}{3}[/tex]
Hence, the students in total spend [tex]1\frac{2}{3}[/tex] hours in both the classes.
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Cristian brought d starbursts to school and combined them with Angel's j starbursts. He then split them equally among 8 friends. Write an expression to represent the situation.
Answer:
(d+j) ÷8
Step-by-step explanation:
If it costs $100,000 to put on an event for four weeks (28 consecutive nights), how much revenue per night is needed to
make $200,000 profit during this period?
0.0000056 rewritten as a single digit
times a power of ten becomes:
Answer:
5.6× 10^ -6
.......................
Four friends are all working in summer jobs. Their names are LaTisha, Zack, Steve and Michelle. The jobs they have found this summer include food server, lifeguard, construction worker and clerk at a grocery store. Determine who is working which job by using the clues below. 1.The person doing the food-serving job really like his work. 2.Zack and the lifeguard have known each other for years. 3.Both Michelle and the lifeguard are outside most of the time, and the other two are inside most of the time. 4.LatTisha and the person working construction met on their job last summer. 5.Neither Zack nor the food server worked last summer.
Answer:
LatTisha works as a Lifeguard
Zack works as a clerk at a grocery store
Steve works as a food server
Mitchel is a construction worker
Step-by-step explanation:
The parameters of the question are;
The names of the four friends are; LaTisha, Zack, Steve, and Michelle
The jobs found are; Food server, Lifeguard, Construction worker, and Clerk at a grocery store
1. The food server person likes his work
2. Zack and the lifeguard have known each other for years
3. Mitchel and the lifeguard are outside most of the time
4. LaTisha and the person working construction met on their job last summer
5. Neither Zack nor the food server worker worked last summer
We have;
Using known names,
Famale names are; LaTisha and Michelle
Male names are; Steve and Zack
Therefore
The food server worker is a guy, not Zack but likely Steve
Mitchel works outdoors, therefore, she works in the other outdoor employment which is construction
The remaining two occupations are;
Lifeguard and Clerk at a grocery store
Given that Zack is not the lifeguard, we have;
Zack is the clerk at a grocery store
LatTisha is the Lifeguard
Caffeine leave the body or continuous rate of 18% per hour of Alexa drinking energy drink that contains 110 mg of caffeine how much caffeine will be in your bloodstream after 12 hours
Answer:
10.168 mg
Step-by-step explanation:
Amount of caffeine in body = 110 mg
Decreases at the rate of rate of 18% per hour
how much caffeine will be in your bloodstream after 12 hours
After the first hour;
New amount = 110 - (0.18 * 110) = 90.2 mg
After the second hour;
New amount = 90.2 - (0.18 * 90.2) = 73.964 mg
After the third hour;
New amount = 73.964 - (0.18 * 73.964) = 60.65 mg
After the fourth hour;
New amount = 60.65 - (0.18 * 60.65) = 49.733 mg
After the fifth hour;
New amount = 49.733 - (0.18 * 49.733) = 40.78 mg
After the sixth hour;
New amount = 40.78 - (0.18 * 40.78) = 33.44 mg
After the seventh hour;
New amount = 33.44 - (0.18 * 33.44) = 27.4208 mg
After the eighth hour;
New amount = 27.4208 - (0.18 * 27.4208) = 22.485 mg
After the ninth hour;
New amount = 22.485 - (0.18 * 22.485) = 18.4377 mg
After the tenth hour;
New amount = 18.4377 - (0.18 * 18.4377) = 15.119 mg
After the eleventh hour;
New amount = 15.119 - (0.18 * 15.119) = 12.40 mg
After the twelfth hour;
New amount = 12.40 - (0.18 * 12.40) = 10.168 mg
Você precisa colocar suas renas, Raposa, Trovão, Cometa e Relâmpago, em uma fila única para puxar o seu trenó. No entanto, Cometa e Raposa são melhores amigos e precisam ficar juntos. De quantas maneiras você pode organizar as renas?
Answer:
If the reindeer do not fight, there are 5!=120 ways to line them up in a straight line.
Out of these, Bloopin and Rudy are together in 4!=24 times. Similarly Rudy and Bloopin will be together 4!=24 times. So the number of ways they are not together is 120-24-24=72 ways.
Hope this helps. :)
Step-by-step explanation:
Spanish:
Si los renos no luchan, hay 5! = 120 formas de alinearlos en línea recta.
De estos, Bloopin y Rudy están juntos en 4! = 24 veces. De manera similar, Rudy y Bloopin estarán juntos 4! = 24 veces. Entonces, el número de formas en que no están juntas es 120-24-24 = 72 formas.
Espero que esto ayude :)
Xinyi bought a box of 20 cupcakes.12 of the cupcakes are chocolate cupcakes.What is the percentage of chocolate cupcakes
The answer is 60%, 60 percent are chocolate flavored cupcake
7. A minor arc of a circle subtends an angle of 1059 at the centre of the circle. If the radius of the circle is 8.4 cm,
find the length of the major arc.
[tex]\pi = 22 \\ 7[/tex]
Can Someone help me out
Answer:
D 0.9988
Step-by-step explanation:
Which number line shows point M at 4/3?
Answer:
D
Step-by-step explanation:
going to the number "4" 3 dots down is 4,3
Find the area of the isosceles triangle
Answer:
could you add the picture? then i will edit my answer to give you the actual answer
Step-by-step explanation:
In ΔPQR, the measure of ∠R=90°, PQ = 5.7 feet, and RP = 3.8 feet. Find the measure of ∠P to the nearest tenth of a degree.
Answer:48.1897 = 48.2
Step-by-step explanation: cos P= 3.8/5.7
P= cos-1 (3.8/5.7)
P=48.1897 = 48.2
3.
Write a function rule for the table.
A. p = 7.50h
B. p = h + 15
C. p = 15h
D. h = 7.50p
Answer:
p = 7.50h
I got this correct, the answer is A. p= 7.50h
Step-by-step explanation:
The answer would be d because every two hours someone works they get $15 and for the equation we must know how much they work for one hour so that it works with the equation (we'd have to simplify it down do how much paid up per hour). so half of 15 is 7.5 so the equation would be p=7.50h (standing for $7.50 per hour).
The correct answer is: [D]: " p = 7.50 h " .
________________________________________________
The pay, "p" , is a function of the hours worked.
When h = 2, (h = number of hours);
the pay, "p" , is equal to " 7.50 * 2 " = 15.00 dollars" ; as shown on table.
When h = 4 ; p = " 7.50 * 4 = 30.00 dollars" ; as shown on table .
When h = 6 ; p = " 7.50 * 6 = 45.00 dollars" ; as shown on table.
When h = 8 ; p = " 7.50 * 8 = 60.00 dollars" ; as shown on table.
_____________________________________________________
The measures of the angles of a triangle are shown in the figure below. Find the
measure of the largest angle.
Twenty students out of 80 kids had pizza for lunch. What is the percentage of students that had pizza for lunch?
Please help!!!
Answer:
25%
Step-by-step explanation:
20/80 = 2/8 = 1/4
1/4 = 0.25
0.25 x 100 = 25
so 25%
Answer:
0.25
Step-by-step explanation:
Divide 20 by 80
Which graph depicts the path of a projectile?
Answer:
The second option.
Answer:
its B
Step-by-step explanation:
The clock shows the time ( 9:00 ) that Candace leaves for a bicycle ride. She rides for 1/2 hour.
Through how many degrees does the minute hand turn while Candace is on her ride?
Answer:
180°
Step-by-step explanation:
1/2 hour = 30 minutes
1 hour is 360° degrees.
1/2 hour = 360 ÷ 2 = 180°
Answer:
180
Step-by-step explanation:
because half a circle is 180 degrees and since 1/2 hour means she returns at 9:30 the minute hand would have to move half of a circle around the clock
1/3 x - 6 = 3 what is the answer for x
Answer:
x = 3
Step-by-step explanation:
Answer:
x=27
Step-by-step explanation:
-4(v + 1) = 2(1 - 20) - 6
Answer:
v=10
Step-by-step explanation:
-4(v+1)=2(1-20)-6
step 1
distribute the -4 to v and 1 and distribute the 2 to 1 and --20
-4xv=-4v-4x1=-4 2x1=2 2x-20=-40
now we have -4v-4=2-40-6
step 2 combine like terms
the only like terms are -6 and -40 2
-6+-40+2=-44
now we have
-4v-4=-44
step 3 add 4 to each side
4+-44=-40
-4+4 cancels out
were left with
-4v=-40
the last step is to divide each side by -4
-4/-4 cancels out
-40/-4=10
in conclusions
v=10
have a great day :D