Answer:
Step-by-step explanation:
Given the vector v = 6i-6j, the magnitude is expressed as shown;
|v| = √6²+(-6)²
|v| = √36+36
|v| = √72
|v| = √2×36
|v| = √36×√2
|v| = 6√2
The modulus of the vector is 6√2
To get the direction, we will use the formula;
(theta) = tan^-1(y/x)
(theta) = tan^-1(-6/6)
(theta) = tan^-1(-1)
(theta) = -45°
Since the angle is negative and tan theta is negative the in the second quadrant, the positive direction angle of the vector will be 180° - 45° = 135°
Please help pleaseeee
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/ 0.09 Type interger or decimal.
Answer:
0.09 = decimal
Answer:
DECIMALStep-by-step explanation:
0.09 is definitely NOT a integer.
Integer is a whole number.
a decimal is a way of writing a number that is NOT a whole number.
so the answer to your question is.... DECIMAL.
Which ratio expresses 2 minutes to 300 seconds in simplest form?
Answer:
1 to 150! hope that helps :)
There are 30 students in a class, including 16 boys. The ratio of girls to boys would be 7 over 8.
Answer:
i dont understand- theres 3 ways u can put them tho 7:8 , 7 to 8 , or 7/8
Step-by-step explanation:
Please help me with this question ASAP.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{67}}}}}[/tex]
Step-by-step explanation:
Given,
UV = 19
VW = 4x - 20
UW = 6x - 35
To find : value of UW
First, finding the value of x
Create an equation and solve for x
[tex] \sf{UV + VW = UW}[/tex]
[tex] \longrightarrow{ \sf{19 + 4x - 20 = 6x - 35}}[/tex]
[tex] \longrightarrow{ \sf{ - 1 + 4x = 6x - 35}}[/tex]
[tex] \longrightarrow{ \sf{4x - 6x = - 35 + 1}}[/tex]
[tex] \longrightarrow{ \sf{ - 2x = - 34}}[/tex]
[tex] \longrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ - 34}{ - 2}}} [/tex]
[tex] \longrightarrow{ \sf{x = 17}}[/tex]
Value of x = 17
Replacing / Substituting the value of x in 6x - 35 in order to find the value of UW
[tex] \sf{UW = 6x - 35 = 6 \times 17 - 35 = 67}[/tex]
UW = 67
Hope I helped!
Best regards! :D
After building your factor tree, what is the simplified form of \sqrt{36}?
√36 indicates the principal (or positive) square root so √36=6 .
The square root of √36 is 6.
Hope this helps ! <3
The difference between nine and two
Answer:
7
Step-by-step explanation:
the difference is another way of saying subtraction so the subtraction of 9 and 2 which is obviously 7
what is 4 + 4 PLZ HELP MEE
Answer:
4 +4 = 8
Step-by-step explanation:
4+4=8
8 is the answer
Answer:
8
Step-by-step explanation:
1 + 1 + 1 + 1 = 4
1 + 1 + 1 +1 = 4
4 + 4 = 8
a number rounded to the nearest hundred thousand is 400,000. The same number rounded to the nearest ten thousand is 350,000. What could the number be?
Answer:
360000
Step-by-step explanation:
Well, we know the number must be above 350,000 because it was rounded up to 400,000. In order for the number to round down to 350,000 the number would have to be between 350,000-354999. So, the number could be any number in between those two numbers.
For example: The number COULD be 351,000 but, that is not the only possible answer.
but the answer would be 360000.
Please help!!! I.m confused with the problem
Answer:
C
Step-by-step explanation:
Make the equation from the blocks:
-7x + 7 = 5x + 16
Then simplify:
Subract 7 from both sides:
-7x = 5x + 9
Add 7x:
0 = 12x + 9
Subtract 9:
-9 = 12x
x = -9/12 = -3/4
Subtract. 8 1/2 - 2 2/3
Answer:
Mixed number: 5 5/6
Improper fraction: 35/6
Step-by-step explanation:
8 1/2 - 2 2/3
17/2 - 8/3
35/6
5 & 5/6
Hope this helps!
Plz name brainliest if possible!
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?
Answer:
3
Step-by-step explanation:
The area of a certain desert (Desert 1) is nine times the area
of another desect (Derect 2). If the sum of theic areas 13
10,000,000 square miles, find the area of each desert
Answer:
∴ Area of Desert 1 = 9,000,000 square miles
Area of Desert 2 = 1,000,000 square miles
Step-by-step explanation:
let the area of Desert 1 = x
Let the area of desert 2 = y
Given:
x = 9y - - - - - - (1)
x + y = 10,000,000 - - - - -(2)
Replacing the value of x from equation 1 into equation 2:
x + y = 10,000,000
where x = 9y
9y + y = 10,000,000
10y = 10,000,000
y = 10,000,000 ÷ 10
y = 1,000,000 square mile
Next, finding x by putting the value of y into equation 1
x = 9y
where y = 1,000,000
∴ x = 9 × 1,000,000
x = 9,000,000 square miles
∴ Area of Desert 1 (x) = 9,000,000 square miles
Area of Desert 2 (y) = 1,000,000 square miles
Answer:
100/51
just took the test
Step-by-step explanation
Barnika bought 100 eggs for Rs. 900. Out
of them. 8 were broken. She sold the remaining eggs
at the rate of Rs. 10.50 each. Find the profit or loss
percent.
Step-by-step explanation:
cost of an egg= 900/100= Rs.9
Total cost = 100×9=Rs.900
when 8 eggs broken, the eggs remained to sell is 92(100-8)
Total sales = 10.50×92=Rs.966
profit = total cost-total sales
profit =966-900= Rs.66
profit percentage =profit/total sales×100%
66/966×100%=6.832%
the difference between half a number and 19
find the inverse (f^-1(x)) of the function f(x)=5+1/2x
Answer:
f^-1(x) = 2x - 10
Step-by-step explanation:
f(x) = 5 + 1/2 x
y = 5 + 1/2 x
x = 5 + 1/2 y
1/2 y = x - 5
y = 2x - 10
f^-1(x) = 2x - 10
y = –3x – 2 5x + 2y = 15
Answer:
x = - 19 y - 55 or point form (-19,55)
2(x - 4) + 2x = -6x – 2
Answer:
x= 0.6
Step-by-step explanation:
Answer:
[tex]x = \frac{3}{5}[/tex]
Step-by-step explanation:
Apply the distributed property to 2(x - 4). It should now look like this: 2x - 8Plug 2x - 8 in: 2x - 8 + 2x = -6x - 2Combine like terms on the left side, so it now looks like this: 4x - 8 = -6x - 2Combine like terms even further: 4x - -6x = 8 - 2Simplify: 4x + 6x = 6Start adding, so it now looks like this: 10x = 6Divide each side by 10 to cancel out the 10 next to x. It should now look like this: x = 3/5I hope this helps!
Given the following proportion, find x
3/7 = 6/x
Answer:
x = 14
Step-by-step explanation:
3/7 = 6/x
3(x) = 6(7)
3x = 42
x = 14
Answer:
3/7 = 6/x
3x = 6*7
3x = 42
x = 42/3
x = 14
I hope you can know this answer...
A federal report found that a lie detector test given to someone telling the truth will suggest that they lied in about 20% of cases. A company asks the 11 job applicants for a new position about thefts from previous employers. (a) What is the probability that the lie detector indicates that at least one of the applicants is lying
Answer:
[tex]0.055[/tex]
Step-by-step explanation:
Let [tex]p[/tex] be the probability of lying an applicant, so, [tex]p=20 \%[/tex].
[tex]\Rightarrow p=\frac {20}{100}=\frac {1}{5}\;\cdots (i)[/tex]
Any applicant will either lie or will tell the truth.
Let [tex]q[/tex] be the probability of telling the truth, so, [tex]q= 1-\frac {1}{5}[/tex]
[tex]\Rightarrow q=\frac {4}{5}[/tex]
As for every applicant [tex]p+q=1[/tex], so this is Bernoullies trials, for which
the probability of success of exactly [tex]x[/tex] times of an event out of [tex]n[/tex] trials is [tex]P(x)=\binom {n}{x} p^xq^{n-x}\; \cdots (iii)[/tex].
Now, let [tex]E[/tex] be the event of at least one of the applicants is lying out of [tex]11[/tex] applicants, here the total number of applicants, [tex]n=11[/tex].
So, [tex]P(E)= P(x=1)+ P(x=2)+\cdots+ P(x=11)[/tex]
This is equivalent to
[tex]P(E)=1-P(x=0)[/tex] as[tex][P(x=0)+P(x=1)+ P(x=2)+\cdots+ P(x=11)=1][/tex]
Now, from equation (iii),
[tex]P(E)=1-\binom {11}{0} p^0q^{11-0}[/tex]
[tex]\Rightarrow P(E)=1-11\left(\frac {1}{5}\right)^0\left(\frac {4}{5}\right)^{11}[/tex] [from equations s (i) and (ii)]
[tex]\Rightarrow P(E)=1-11\times 1 \times \left(\frac {4}{5}\right)^{11}[/tex]
[tex]\Rightarrow P(E)=1-0.945[/tex] (approx)
[tex]\Rightarrow P(E)=0.055[/tex]
Hence, the probability that the lie detector indicates that at least one of the applicants is lying is [tex]0.055.[/tex]
There are 6 girls and 4 boys taking karate lessons. Write the ratio that compares the
number of girls taking karate lessons to the total number of students taking karate
lessons
6:10
(6 girls for every 10 students)
Answer:
6:10
6+4=10
Step-by-step explanation:
Circle A and Circle B are congruent circles. Which statement must be true?
a. Circle A and Circle B have the same center.
b. The radii of Circle A and Circle B have the same length.
c. Circle A and Circle B have exactly two points in common.
d. Circle A and Circle B touch at one point.
Answer:
B
Step-by-step explanation:
congruent mean the same, therefore the circles must be the same since they are congruent.
Answer:
B. The radii of Circle A and Circle B have the same length.
Step-by-step explanation:
The radii, diameter, and circumference would be the same length for two circles that are congruent, therefore, the answer is B.
2 1/4 + 2 1/4+ 2 3/4+ 2 3/4 +2 3/4=
Answer:
12.75
Brainiest pweez :P
The answer of 2 1/4 + 2 1/4+ 2 3/4+ 2 3/4 +2 3/4=
12.75
please answer this
I will mark you
plz plz
Answer:
don't know sorry......................
Answer:
y=120 degree z=120 degree and x=60degree
Step-by-step explanation:
y+60¤ =180¤(being straight line )
or,y=180¤-60¤
or,y=120¤
therefore y=120¤
Now z= 120¤ (being corresponding angle)
therefore z =120¤
here at last,
z+120=180 (being straight anngle)
or, z=60¤
therefore z =60¤
( ¤): degree
WILL GIVE BRAINIEST
NEED HELP ASAP
DUE IN 10 MINS
Answer:
Scientist B
Step-by-step explanation:
1 kg = 2.2 lbs
1L = 2.11 pints
So let's convert Scientist B's data.
3.0lbs salt = 3.0/2.2 = 1.36kg
6 pints water = 6/2.11 = 2.84L water
Scientist A
1kg salt
3.0L water
We now figure out the concentration of salt in water.
Scientist A Scientist B
1kg/3.0L = .33kg/L 1.36kg/2.84L = .48kg/L
So scientist B had a more concentrated solution.
Answer:
yes
Step-by-step explanation:
erfds
Kitty moves 6 boxes to his bedroom in 2 minutes, how many boxes he moves in 3 minutes?
Answer:
9
Step-by-step explanation:
6 dived by 2 is 3 so like 3 times 3 is 9 lol
Answer:
9 boxes
Step-by-step explanation:
If he moves six boxes every two minutes just divide those and you get three boxes per minute. Then you multiply 3 minutes with 3 boxes and get 9
Observing in the histogram, frequency proportions, and normal probability plot based on the coin date data set below, we have a strong indication that the dates of the coins are: (NOTE: the answer choices assume that the x-axis is years, so newer coins would be to the right.)
Answer:
Skewed left.
Explanation:
When plotting all the points in a calculator, the graph is skewed to the left.
APEX
How many solutions are there to the equation below?
4(x - 5) = 3x + 7
A. O
B. Infinitely many
C. 1
i really need you
guys helppp pleaseee
Hey there! I'm happy to help!
Angles A and B are alternate exterior angles: they are on the outside of the parallel lines and opposite sides of the transversal. This means that they are congruent. So, we can set up an equation.
6x-2=4x+48
We subtract 4x from both sides.
2x-2=48
We add 2 to both sides.
2x=50
Divide both sides by 2.
x=25.
Have a wonderful day! :D
Answer:
x = 25
∠A = 148
Step-by-step explanation:
opposite exterior angle ∠A = ∠B
where
∠A = 6x - 2°
∠B = 4x + 48°
6x - 2° = 4x + 48°
6x - 4x = 48° + 2°
2x = 50°
x = 50°/2
x = 25
plugin x into ∠A = 6x - 2°
∠A = 6(25) - 2°
∠A = 148
I know I'm no smarty pants but I need help!!
The given line passes through the points (-4, -3) and (4, 1).
On a coordinate plane, a line goes through (negative 4, negative 3) and (4, 1).
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4, 3)?
Answer:
it is a linear function
Step-by-step explanation:
a+D_rFind the slope of the line passing through the points (-5, 7) and (-5, -1)
Answer:
Step-by-step explanation:
(-1 -7)/(-5 + 5) = -8/0 = undefined
