Answer:
5i+14j-7kStep-by-step explanation:
Given the vectors u = (4,7,-3) and v=(2,-7,5), both vectors are 3-dimensional in nature and can also be rewritten as;
u = 4i+7j-3k and v = 2i-7j+5k
To get 3u-v, we will substitute the given vectors into the expression;
3u-v = 3(4i+7j-3k) - (2i-7j+5k)
open the parenthesis
3u-v = 12i+21j-9k - 2i + 7j - 5k
collect like terms
3u-v = (12i - 2i) + (21j + 7j) (-9k-5k)
3u - v = 10i+28j-14k
To simplify the answer, we will divide through by 2
3u - v = 10i/2+28j/2-14k/2
3u - v = 5i+14j-7k
Hence the simplified form of the expression is 5i+14j-7k
In a sample of scores, the sum of squared
deviations from the mean is
1054. The
variance is 62. How large is the sample?
3/4 is 1/3 of what number?write a division expression to match this question
Hi
3/4 = 1/3X
3/4 = X/3
3/4 *3 = X
9/4 = X
2.25 = X
How is adding two negative fractions similar to adding two negative integers?
PLEASE HELP - Determine the slopes of the lines passing through each pair of points. - (-6,-3) and (4,1)
Answer: -4/10
Step-by-step explanation:
Since we are finding the slope, we have to do the rise over run strategy. In this case, rise (y) are the numbers -3 and 1 and the run (x) is the numbers -6 and 4. After that, we subtract them. So, -3 - 1 and -6 - 4. We get -4 over -10 (or - 4/10) which is your slope.
What is the product of 2 and q
Answer:
2q
Step-by-step explanation:
Product is the answer to a multiplication equation or expression. So you could put it like 2 x q but it would be easier and more understanding to do 2q...Or even 2(q).
9+10=
A.) 19
B.) 12
C.) 10
D.) 21
Answer:
Step-by-step explanation:
9 + 10 = 19
answer is A
evaluate m-t2 divided (m+p)+2t if m=3,t=10,and p=2
Answer:
[tex]\frac{-97}{25}[/tex]
Step-by-step explanation:
Step 1: Write out equation
[tex]\frac{m-t^2}{(m+p)+2t}[/tex]
Step 2: Define variables
m = 3
t = 10
p = 2
Step 3: Plug them in
[tex]\frac{3-10^2}{(3+2)+2(10)}[/tex]
Step 4: Evaluate
[tex]\frac{3-100}{5+20}[/tex]
[tex]\frac{-97}{25}[/tex]
There are three consecutive odd integers such that the sum of twice the second and the smallest is seven more than twice the largest. Find the sum of the integers.
Answer:
11 +13 + 15 = 39
Step-by-step explanation:
Let the consecutive odd integer be X , Y , Z .
X < Y < Z
Y = X + 2
Z = X + 4
Given ,
2 Y + X = 2 Z + 7
2 ( X + 2 ) + X = 2 ( X + 4 ) + 7
2 X + 4 + X = 2 X + 8 + 7
X = 15 - 4 = 11
So the integers are
11 , 13 , 15 .
Sum of integers = 39.
what is the value 5^4/5^6
Answer:
Step-by-step explanation:
1/5^(6-4) = 1/5^2 = 1/25
The graph models projected populations, in thousand, of two towns after x years. Both towns experience a 1.9% annual growth rate. Which equation represents g(x) as a translation of f(x)?
The image of the graph is missing, so i have attached it.
Answer:
g(x) = 5/3 * f(x)
Step-by-step explanation:
We want to find the equation represents g(x) as a translation of f(x).
From the graph, the y = f(x) function curve has the following observations,
- At x = 0, y = f(0) = 30
- At x = 10, y = f(10) = 36
Similarly, from the graph, the y = g(x) function curve has the following observations,
- At x = 0, y = g(0) = 50
- At x = 10, y = g(10) = 60
From those coordinates on the graph, we can see that;
f(0) = 30 and g(0) = 50
It means that for us to make g(x) as a translation of f(x), g(0) = fraction * f(0)
Fraction = g(0)/f(0) = 50/30 = 5/3
Thus;
g(x) = 5/3 * f(x)
Let's confirm with the second coordinate;
Thus;
g(10) = 5/3 * f(10)
g(10) = 5/3 * 36
g(10) = 60
This value is same as what is on graph, thus we can conclude that;
The equation represents g(x) as a translation of f(x) is; g(x) = 5/3 * f(x)
Expenses incurred on account increase the accounts receivable balance
See everything available through O’Reilly online learning and start a free trial. Explore now.
Crash Course in Accounting and Financial Statement Analysis, Second Edition by Matan Feldman, Arkady Libman
Changes in Accounts Receivable
Recall that net income (the last line on the income statement and the first line on the cash flow statement) captures revenues and expenses based on the accrual method of accounting. As such, credit sales, in addition to cash sales, may be recorded as revenues.
The sales generated on credit are recorded on the balance sheet as accounts receivable, while cash revenues are recorded on the balance sheet as cash.
I hope I explained well.
If accounts receivable increased from one year to the next, the implication is that more people paid on credit during the year, which represents a drain on cash for the company, as some of the revenues that came in during the year increased the accounts receivable balance instead of cash.
Conversely, if accounts receivable decreased from one year to the next, the implication is that those old accounts receivable were collected (i.e., credit sales were eventually converted into cash sales), representing cash inflow for the company.
What is the distributive property of 7(6+12)
Answer:
126
Step-by-step explanation:
(7x6) + (7 x 12)= 126
3 - 6n – 4 < 17
Help thanks
Answer:
n>-3
Step-by-step explanation:
add like terms:
3+-4= 1
Then you end up with--> 6n+1 < 17
Get the variable by itself ( add 1)
6n < 18
Then divide 6n from 18
switch signs.
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2, 4, 5, 8, 9}. List the elements of each set.
Answer:
[tex]C\ n\ C^c = \{ \}[/tex]
[tex](A\ n\ C)^c = \{2,3,4,6,7,8,10\}[/tex]
[tex]A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}[/tex]
Step-by-step explanation:
Required
Determine
[tex]C\ n\ C^c[/tex]
[tex](A\ n\ C)^c[/tex]
[tex]A\ u\ (B\ n\ C)[/tex]
Solving [tex]C\ n\ C^c[/tex]
[tex]C^c[/tex] implies that elements in U but not in C
Since
[tex]C = \{1, 2, 4, 5, 8, 9\}[/tex]
[tex]C^c = \{3, 6, 7, 10\}[/tex]
[tex]C\ n\ C^c = \{1, 2, 4, 5, 8, 9\}\ n\ \{3, 6, 7, 10\}[/tex]
[tex]C\ n\ C^c = \{ \}[/tex]
Because there's no intersection between both
Solving [tex](A\ n\ C)^c[/tex]
First, we need to determine A n C
[tex]A\ n\ C = \{1, 3, 5, 7, 9\}\ n\ \{1, 2, 4, 5, 8, 9\}[/tex]
[tex]A\ n\ C = \{1, 5, 9\}[/tex]
[tex](A\ n\ C)^c = (\{1, 5, 9\})^c[/tex]
[tex](A\ n\ C)^c = \{2,3,4,6,7,8,10\}[/tex]
Solving [tex]A\ u\ (B\ n\ C)[/tex]
First, we need to determine B n C
[tex]B\ n\ C = \{2, 4, 6, 8, 10\}\ n\ \{1, 2, 4, 5, 8, 9\}[/tex]
[tex]B\ n\ C = \{2, 4, 8\}[/tex]
So:
[tex]A\ u\ (B\ n\ C) = \{1, 3, 5, 7, 9\}\ u\ \{2,4,8\}[/tex]
[tex]A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}[/tex]
Help with b please I have 25 minutes left
Answer:
60 × 66,666
60 × 666,666
Step-by-step explanation:
If you look at the pattern on the top numbers, you can see that there is one six that keeps on getting added. I'm not sure of my answer, but that is what I would put.
Yolanda is filling her bathtub. The table shows the number of gallons of water in bathtub at different times since she started filling it.
Time-
1 minute, 1.5 minute, 2 minutes
Water (gallons)
16.50gallons 24.75gallons, 33 gallons
Part A Find the constant of proportionality (in gallons per minute) using the values in the first row of the table.
Answer:
keep looking its in there all you need to do is look
Answer:
16.5 gallons per minute
Step-by-step explanation:
Part A is 16.5 Gallons per minute
What is the difference in the 4 in the first expression and the second?
3x-4 2+4x
Jenna and Harper are living together and have agreed to split half of all living costs. Rent for the apartment is $970. The water bill is $52. The gas bill is $25, while the electric bill is $66. What is each girls total monthly expenses for living in the apartment?
Answer:
$556.50
Step-by-step explanation:
25/2=$12.50
52/2=$26
66/2=$33
970/2=$485
485+33+26+12.50 = 556.50
After dividing, the total, Jenna and Harper will pay $556.5
What is division?In maths, a division is a process of splitting a specific amount into equal parts.
Given that, Jenna and Harper are living together and have agreed to split half of all living costs. Rent for the apartment is $970. The water bill is $52. The gas bill is $25, while the electric bill is $66.
We will divide the total bill into two equal parts to find how much one girl should pay.
Therefore,
The total expense = 970+52+25+66 = $1113
Since, both girls are splitting the bill into halves, therefore,
$1113 / 2 = $556.5
That mean, each will have to pay $556.5
Hence, both will pay $556.5
For more references on division, click;
https://brainly.com/question/21416852
#SPJ2
Complete the equation describing how x and y are related.
Answer:
5
Step-by-step explanation:
o+5=y=5
1+5=y=6
2+5=y=7
.:y=x+5
In the diagram below, DE is parallel to XY . What is the value of x
A. 110
B. 90
c. 120
D. 70
The value of x in the diagram is 110.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
DE is parallel to XY.
This means,
110 and x are corresponding angles.
Now,
The corresponding angles are equal.
So,
x = 110
Thus,
The value of x in the diagram is 110.
Learn more about corresponding angles here:
https://brainly.com/question/1597341
#SPJ7
Which of these is not a rule of binary addition? * 1+1 = 10 1 – 1 = 0 1 – 0 = 0 1 + 1 = 11
Answer:
1-0 = 0 ( This is not the rule of binary) As in binary addition 1-0 = 1
The value of 10 small 4
Answer:
I'm guessing you mean 10^4 = ?
Well, that equals 10 * 10 * 10 * 10
which equals 10,000
Step-by-step explanation:
Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided.
4(2x-3) + 8(x-4) = 2(2x+6)
Answer: 4 2/3
Step-by-step explanation:
Because I said so
The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while non students paid $6.00 each. If a total of $2032.00 was collected, how many students and how
many non students attended
The number of students was (Simplify your answer)
The number of non-students was (Simplify your answer)
Answer:
286 students attended
148 non students attended
Step-by-step explanation:
Given
[tex]Tickets = 434[/tex]
[tex]Students = \$4.00[/tex]
[tex]Non-Students = \$6.00[/tex]
[tex]Total = \$2032.00[/tex]
Solving (a): Number of students
Represent students with S and non students with N
So:
[tex]S + N = 434[/tex] --- (1)
[tex]4S + 6N = 2032[/tex] --- (2)
Make N the subject of formula in (1)
[tex]N = 434 - S[/tex]
Substitute 434 - S for N in (2)
[tex]4S +6(434 - S) = 2032[/tex]
Open Bracket
[tex]4S + 2604 - 6S = 2032[/tex]
Collect Like Terms
[tex]4S - 6S = 2032 - 2604[/tex]
[tex]-2S = -572[/tex]
Divide through by -2
[tex]S = 286[/tex]
Hence; 286 students attended
Solving (b):
Recall that
[tex]N = 434 - S[/tex]
[tex]N = 434 - 286[/tex]
[tex]N = 148[/tex]
148 non students attended
find the difference. m+2/(m-4)^2 - m-2/(m-4)^2
Answer:
4/(m-4)^2
Step-by-step explanation:
=(m+2)/(m-4)^2-(m-2)/(m-4)^2
=m+2-m+2/(m-4)^2
= 4/(m-4)^2
This is the correct answer.
3(a+1.5)=-1.5
what value of a makes the equation true?
The value of a that makes the equation true is -1.55.
What is the value of a?In order to determine the value of a, take the following steps given this equation: 3(a+1.5)=-1.5
Divide both sides of the equation by 3: a + 1.5 - 1.5/3
a + 1.5 = -0.05
Subtract 1.5 from both sides of the equation : a = -0.05 - 1.5 = -1.55
To learn more about division, please check: https://brainly.com/question/194007
#SPJ1
Which shows how to find the value of this expression when X=-2 and Y = 5?
(3x®y-2)2
32 (-2)
54
3(-2)6
54
32(5) 6
(-2)
3
(2) 854
Answer:
i think it's b
Step-by-step explanation:
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
What’s is bigger -1 3/7 or -1 1/2
Answer:
-1 3/7 is largerStep-by-step explanation:
To figure out which is larger, convert each of these mixed numbers to decimals.
-1 3/7 = -1.42857142857
-1 1/2 = -1.5
Negative numbers are larger the closer they are to 0. So, -1 is larger than -2, since -1 is closer to 0.
Since -1.5 < -1.43, -1 3/7 is larger than -1 1/2 since it is closer to 0.
___________________________________________________I AM ALWAYS HAPPY TO HELP :)hilida spent 47$ and know has no money left she had blink before her purchase
Answer:
$47
Step-by-step explanation:
If she spent 47, and had none after, she spent 47.
If 2 angles are both vertical and supplementary, then the angles are