Answer:
The answer is 13/100.
Step-by-step explanation:
In order to convert percentage to fraction, you have to divide it by 100 :
[tex]13\% = \frac{13}{100} [/tex]
Answer:
13/100
Step-by-step explanation
percentage just means "out of 100"
Consider the following vectors in component form
a = LeftAngleBracket 2, 10 RightAngleBracket. B = LeftAngleBracket negative 5, negative 12 RightAngleBracket. C = a minus b.
NEED HELP ASAP
What is the magnitude and direction angle of vector c?
|c| = 5, θ = 36.9°
|c| = 5, θ = 53.1°
|c| = 25, θ = 16.3°
|c| = 25, θ = 73.7°
Answer:
D
Step-by-step explanation:
The magnitude is 25 and the direction angle of vector c is 73.7°. Option D is correct.
Given, a=⟨2,10⟩, b=⟨-5,-14⟩, c=a-b
We need to find what is the magnitude and direction angle of vector c.
What is the magnitude and direction angle?Given a position vector v=⟨a,b⟩, the magnitude is found by |v|=√a²+b². The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. For a position vector, the direction is found by tanθ=(ba)⇒θ=[tex]tan^{-1}[/tex](ba).
Now, vector c=⟨7,24⟩|c|=[tex]\sqrt{7^{2} +24^{2} }[/tex]=25angle =tan(θ)=(168)⇒θ=[tex]tan^{-1}[/tex](168)= 73.7°.
Hence, the magnitude is 25 and the direction angle of vector c is 73.7°.
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Part 2 Directions: Solve the matrix equation for "X" and "y" 5 - 2x 6 1 -8 + 2 -8 4. - 13 -13
Answer:
The value of x=9 and value of y= -7
Step-by-step explanation:
We need to solve the matrix equation for x and y
We are given:
[tex]\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +2\left[\begin{array}{cc}5&-1\\y&6\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]
First multiply 2 with terms inside the matrix
[tex]\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +\left[\begin{array}{cc}10&-2\\2y&12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]
Now adding matrices on left side
[tex]\left[\begin{array}{cc}-2x+10&6-2\\1+2y&-8+12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]\\\left[\begin{array}{cc}-2x+10&4\\1+2y&4\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]
Now both sides are equal , so we can say that
[tex]-2x+10=-8 \ and \ 1+2y=-13[/tex]
Solving equations and finding values of x and y
Finding value of x
[tex]-2x+10=-8 \\-2x=-8-10\\-2x=-18\\x=\frac{-18}{-2}\\x=9[/tex]
Finding value of y
[tex]1+2y=-13\\2y=-13-1\\2y=-14\\y=\frac{-14}{2}\\y=-7[/tex]
So, value of x=9 and value of y= -7
If the average grade of an English class rose from 70 to 85, what is the approximate percent increase?
The percent increase is approximately 14%.
The percent increase is approximately 17%.
The percent increase is approximately 21%.
The percent increase is approximately 35%.
The correct answer would be C. The percent increase is approximately 21%
Answer:
the third answer, 21%
Step-by-step explanation:
the change was 15% and the original was 70 so,
15/70
=.21
.21*100=21%
I hope this helped and could I get brainliest?? :)
For its study, 195 randomly selected Southerners were surveyed and found to watch a mean of 4.5 hours of sports per week. In the North, 148 randomly selected people were surveyed and found to watch a mean of 4.7 hours of sports per week. Find a 99% confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions if the South has a population standard deviation of 1.5 hours per week and the North has a population standard deviation of 1.7 hours per week.
Answer:
The 99% confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions is = [ CI [-0.254, 0.654].
Step-by-step explanation:
The confidence interval for the true difference between the mean formula is given as:
μ1 - μ2 ± z × √(σ²1/n1 + σ²2/b2)
μ1 = Mean 1 = 4.5 hours
μ2 = Mean 2 = 4.7 hours
z = z score for 99% confidence interval = 2.576
σ1 = Standard deviation 1(South) = 1.5 hours
σ2 = Standard deviation 2(North) = 1.7 hours
n1 = number of samples 1 = 195
n2 = number of samples 2 = 148
Confidence Interval
= 4.5 - 4.7 ± 2.576 × √1.5²/195 + 1.7²/148
= 0.2 ± 2.576 × √0.0115384615 + 0.019527027
= 0.2 ± 2.576 × √0.0310954885
=0.2 ± 0.4542495969
Confidence Interval
= 0.2 - 0.4542495969
- 0.2542495969
= -0.254
Approximately = -0.654
= 0.2 + 0.4542495969
= 0.6542495969
Approximately = 0.654
Hence, The 99% confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions is = CI [-0.254, 0.654].]
wyatt opend a savings account 4 years ago. the account earns 4%interest compounded quarterly if the current balance is $1,000.00 how much did he deposit initially round your answer to the nearest cent
9514 1404 393
Answer:
$852.82
Step-by-step explanation:
Each quarter the account value is multiplied by 1+(4%/4) = 1.01. After t quarters, the account value is 1.01^t times its initial value.
This same relation works backward in time. For t = -16 quarters (4 years ago), the account value was ...
1000(1.01^-16) ≈ 852.82
Wyatt deposited $852.82.
Please help me i need a good grade :>
How did the temperature change if:
At first it increased by 5% and the increased by 20%
**ACTUAL ANSWERS PLEASE**
Answer:
up 25%
Step-by-step explanation:
it went increased by 25% from the beginning point
9514 1404 393
Answer:
up 26%
Step-by-step explanation:
The first change multiplied the temperature by 1+5% = 1.05.
The second change multiplied that result by 1+20% = 1.20.
Then the end result was multiplication by ...
1.05 × 1.20 = 1.26 = 1 + 26%
The temperature increased by 26%.
Circle two addends first. Write the sum.
3+3+4=
PLEASE HELP I HAVE 20 MINS TO TURN THIS IN AND I HAVE 3 QUESTIONS LEFT:
If Diego drives 60 miles per hour on the highway, how many miles can he go in 6 hours?
help :
Answer:
360 miles
Step-by-step explanation:
60:1
1x6=6
60x6=360
360 miles to 6 hours
360 miles
Best,
SunflowerJada
If a person wanted to purchase their dream car, and keep it for many years, should they lease or buy? why?
Answer:
buy
Step-by-step explanation:
If a person wanted to buy their dream car and keep it for several years they would buy it since they wouldn't have to pay rent on the care even after they payed it off. If they were to lease they would have to pay rent for it.
If a person wanted to purchase their dream car, and keep it for many years, what they should is to: buy.
What is Leasing and buying?Leasing can be defined as an agreement in whereby the lessor or the owner give out his or her property to the lessee, in which the lessen is expected to payback the lessor periodical till the full payment is made.
While buying is simply to purchase a product in exchange for cash or money.
If a person wanted to purchase a car so as to keep it for many years, the best choice is to buy instead of leasing.
The reason why buying the car would be the better option is because the overall cost of buying the car would be lesser.
After paying for the car, the owner tend to gets much more value from the car.
Inconclusion the person should buy the car.
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A shirt at the store is being offered at a 10% discount. If the original price of the shirt is x, which answer
choice shows an expression that represents the discounted price of the shirt?
0.90x
X + 0.10x
1.10x
0.10x
Answer:
0.90x
By the way, I'm just answering people random questions. I'm not going to write the step by step but the answer.
Sorry :/
Find the slope of the line through the given pair of points. (-7, 16), (-18, 18)
Answer: -2/11
Step-by-step explanation:
0.25 divided by 2.65
Answer:
0.09433962264
Step-by-step explanation:
i make 2 dollars every 8 minutes how many dollars will i make in a hour
Answer:
$15 in 1 hour
Step-by-step explanation:
1 hour = 60 mins
60 mins divided by 8 = 7.5
7.5 x 2 = 15
Answer:
$15 dollars an hour
Step-by-step explanation:
There are 60 minutes an hour
So you will need to divide 60 by 8
60/8= 7.5
7.5*2=15
$15 dollars an hour
please help me out with this
Answer:
its easy...are u in 5th
Step-by-step explanation:
Help i'm in a hurry!!! first gets brainliest!!!!!!!!!!!!!!!!!!!
Help on the second one pls!
Answer:
THX FOR AWNSERING
Step-by-step explanation:
Find two fractions equivalent to each fraction.
3 over 9
20 over 22
Answer:
1/3 and 10/11, or 9/27 and 40/44
Step-by-step explanation:
Simplified 3/9 by 3.
Simplified 20/22 by 2.
Answer:
For 3 over 9 = 1/3, 6/18, 9/27 For 20 over 22 = 10/11, 40/44, 60/66
Step-by-step explanation:
You can simplify the fraction or multiply by the same amount of number to numerator and denominator.
here the pic of it so can u hel pme
Answer:
a
Step-by-step explanation:
14x+42=35
14×=35-42
14× = -7
×= -7/14
×= -1/2
Answer:
A
Step-by-step explanation:
Given f(x) = 14x + 42 and f(x) = 35, then equate right sides, that is
14x + 42 = 35 ( subtract 42 from both sides )
14x = - 7 ( divide both sides by 14 )
x = - [tex]\frac{7}{14}[/tex] = - [tex]\frac{1}{2}[/tex] → A
1. Evaluate the following numerical expressions. Problem Set a. 2+(-3) +7 b. )-4-1 d. -10 = 2 + 3 C. Ni 2x2 e. (8) + 2 f. 3+(-4)-1 2. Which expressions from Exercise 1 are equal?
Answer:
A equals 12
B equals 3
C equals 3+2+(-5)
E equals 4 NI
F equals -7+(-12)=19
Step-by-step explanation:
For A, you have to do the parenthesis first. I did 2+(-3) which equals -5. Then, I added the 7 to the five and got 12. The reason that it is not 12 is because the +7 is greater than the -5.
For B, I got -3 because -4 - (-1) equals 3. The reason that it is three is because when you look at the positive negative chart, you can see that negative and negative equal positive. So, the answer would be 3.
For E, I got 4 NI because when I multiplied the 2*2 I got 4 then you add the numerals Ni. I am not 100% on this problem, that is kind of my guess.
Finally for F, I got 19. My equation above explains it. Once again, you have to add the parenthesis first, so, -7+(-12) equals 19. Like I said above. If you look at the negative positive chart, the number would be positive because both numbers are negative.
I forgot C above, so here it is. For C, I got the equation above by putting the numbers together. For instance, in the problem on the side, for C, it says -10=3+2. If you just add 3+2, you are going to get 5. I added negative five to it and there you go, you get negative ten.
The first and second problems are equal because 3 goes into 12 equally.
At what input value will the function
f(x) = -x - 2 + 2 begin to have real
outputs?
x = [?]
Answer:
All real numbers.
Step-by-step explanation:
f(x) = -x - 2 + 2
~Combine like terms
f(x) = -x
This function does not have any constraints so x can be equal too any real number.
Best of Luck!
Answer: -2
Step-by-step explanation:
add two to both sides
X-2<0
-X<2
Times -1 to both side
X<-2
Flip the sign When you have a negative.
what is mix media art
Answer:
In visual art, mixed media is an artwork in which more than one medium or material has been employed. ... Mixed media art, a visual art, is distinguished from multimedia art which combines visual art with non-visual elements, such as recorded sound, literature, drama, dance, motion graphics, music, or interactivity.
Step-by-step explanation:
hope this helps u, sorry if it doesn't.
Answer:
mix media is an artwork in which more than one medium or material has been employed
somebody help , i’ll thank you
Answer:
-5, 4 10, 1
Step-by-step explanation:
Pedro had $235 in his saving account when Jim had $450 in his account. Look at the situation in the image. Which inequality shows when the amount of money in Pedro’s account is greater than the amount of money in Jim’s account?
Answer:
$450>$235
Step-by-step explanation:
This is because, when 235 is subtracted from 450 there is a great difference thats why $450 is greater than $235
The table below represents an exponential function. By what factor does each term grow by?
x y
1 2
2 8
3 32
A.6
B.8
C.4
D.2
There is a question up
Plz need help
What is 0.0078732 rounded down to the whole number?
Answer:
0
Step-by-step explanation:
PLEASE HELP❗️❗️‼️❗️‼️❗️‼️❗️‼️❗️‼️❗️‼️❕‼️❕❗️‼️Drag a description next to the matching model to complete this proof of the
Pythagorean theorem. Show that a square with area z? can be transformed into
two squares with areas x2 and y2.
Answer: are We able to join them
Step-by-step explanation:
Answer:
First box is The square is made up of 4 congruent right triangles and one small square.
Second box is Moving two of the triangles changes the figure's shape, but not it's area.
Solve for x. 10x+2=32
!!!!!HURRY!!!!!
Yes ok.
10x+2=32
-2 -2
10x=30
/10 /10
x=3
Your Answer is
x=3Hope This Helps! Brainliest Would Be Greatly Appreciated.Answer:
x=3
Step-by-step explanation:
the first step is to subtract 2 from both sides because you want to isolate the variable, and the opposite of addition is subtraction. so, you do 10x + 2 = 32, and when you subtract 2 from both, you get 10x = 30. then, because 10 and x are being multiplied together, you want to divide both sides by 10 to get x alone. so, you get x = 30/10, so x = 3.
The sum of three consecutive odd numbers is 81. Find the numbers.
Answer:
The 3 odd, consecutive numbers are 25, 27, and 29.
Step-by-step explanation:
When you add these 3 numbers you will get 81.
25 + 27 = 52
52 + 29 = 81
Therefore, 25 + 27 + 29 = 81
Hope this helps!!
Answer:three consecutive odd numbers are 25; 27; 29
suppose: the smallest number is x ( x > 0),(x ∈ N)
because 3 numbers are three consecutive odd numbers
=> The next 2 terms respectively are x + 2; x + 4
have: The sum of three consecutive odd numbers is 81
=> x + x + 2 + x+ 4 = 81
⇔ 3x + 6 = 81
⇔ 3x = 81 - 6
⇔ 3x = 75
⇔ x = 25
=> three consecutive odd numbers are 25; 27; 29
Step-by-step explanation:
Find the lcm of 3x-1/4=2
Answer:
x=3
Step-by-step explanation:
What is the value of 2x+3y when x=5 and y=2 ?
Answer:
16
Step-by-step explanation:
2(5) + 3(2)=
2x5=10
3x2=6
10+6=16
The value of the expression 2x+3y, when x = 5 and y = 2 is 16.
What are substitution and numerical expression?Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.
A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, we have to find the value of the expression 2x+3y,
when x = 5 and y = 2.
To obtain the value of 2x+3y, when x = 5 and y = 2 we'll substitute 5 in place of x and 2 in place of y.
2x + 3y.
= 2(5) + 3(2).
= 10 + 6.
= 16.
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