The angle between the two forces of 560 N and 222 N is 80.96°
What is the resultant of two vectors?The resultant of two vectors P and Q refer to the magnitudes of the vectors and it can be expressed by the formula [tex]\mathbf{R = \sqrt{P^2 +Q^2 +2PQ cos \theta }}[/tex]
Now, using the above equation, we can easily determine the angle between the forces of the two vectors as follows:
[tex]\mathbf{634 = \sqrt{560^2 +222^2 + 2(560 \times 222) \ Cos \theta }}[/tex]
[tex]\mathbf{401956 =313600 +49284 + 248640 \ Cos \theta }}[/tex]
[tex]\mathbf{401956 -313600 -49284 = 248640 \ Cos \theta }}[/tex]
[tex]\mathbf{39072= 248640 \ Cos \theta }}[/tex]
[tex]\mathbf{ Cos \theta = \dfrac{39072}{248640}}}[/tex]
[tex]\mathbf{Cos \theta =0.1571}[/tex]
[tex]\mathbf{ \theta =80.96^0}[/tex]
Therefore, we can conclude that the angle between the forces is 80.96°
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A clothing manufacturer has the marginal revenue function MR(x)=30-0.2x, 0 ≤ x ≤ 100 (in dollars per suit), where x is the number of suits sold each week. Then the total revenue from selling 60 suits is $
Based on the marginal revenue function for the clothing manufacturer, the total revenue from selling 60 suits is $1,440.
What is the total revenue from selling the suits?
The marginal revenue function of 30 - 0.2x is the differentiated revenue function.
Performing an integration will therefore give us the revenue function as:
= 30x - 0.1x²
Now that we have the revenue function and know that x = 60 suits, the revenue is:
= (30 x 60) - (0.1 x 60²)
= 1,800 - 360
= $1,440
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9)
What is the complete factorization of x2 + 4x-45?
OA (x + 15)(x-3)
OB. (x- 9)(x + 5)
OC. (x + 9)(x - 5)
OD. (x - 15)(x+3)
Answer:
C
Step-by-step explanation:
x^2+4x-45
(x+9)(x-5)
since 4x is positive, the larger factor of 45 needs to be positive
that's why the 5 is negative
when solving problems like this, just find two factors of the last number that add up to the middle number
then throw them in parenthesis with an x
Hi,
x2 + 4x − 45 can be factorized to (x + 9)(x - 5).
the correct answer is C (x + 9)(x - 5).
I added a screenshot...
XD
Given the matrices A and B, solve for X. Express the numbers using integers or simplified fractions.
Please!
Answer:
x=5
Step-by-step explanation:
A= 1+4+4+(-4)=5
B= 8+5+4+(-5)=15
15-5=10
10/2=5
x=5
A woman bought some large frames for $18 each and some small frames for $8 each at a closeout sale. If she bought 21 frames for $248, find how many of each type she bought.
Answer:
8 large frames and 13 small frames
Step-by-step explanation:
Given:
$18 each = large frames
$8 each = small frames
To Find:
⇒ Bought 21 frames for $248, find how many of each type she bought
Solve:
1 Large frame costs = 18 $
Therefore, x large frames costs = 18x $
{where x is the number of large frames she bought}
1 Small frame costs = 8 $
Therefore, x Small frames costs = 8y $
{where y is the number of small frames she bought}
By the given condition :
18x + 8y = 248 {equation 1}
x + y = 21 {equation 2}
Solve these equations simultaneously, from second equation we get :
x = 21- y
18⋅(21−y)+8y= 248
378 - 18y+8y = 248
-10y = -130
y = 13
Put y = 13 in eq x = 21- y
x = 21 - y
x = 21 - 13
x = 8
So the woman bought 8 large frames and 13 small frames.
~lenvy~
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule represents the translation? After the translation, what are the coordinates of vertex A'? Q: A: A) (x, y) → ( x + 1, y + 2); (−2, 6) B) (x, y) → ( x + 2, y + 1); (−1, 5) C) (x, y) → (x − 1, y + 2); (−4, 6) D) (x, y) → (x − 2, y − 1); A(−7, 3)
Answer:
a(-2.6) b(5, 0) c(9,5)
Step-by-step explanation:
the rule is x+1 y+2 for each of the vertices
8) A company sells small and large photo books. Each page of a small photo book costs
the same. The table below shows the relationship between the number of pages in a
small photo book and the total cost of the photo book.
Part A) What is the cost per page for a small photo book?
Small Photo Book
Number of Pages
Total Cost ($)
30
20
32
48
57
The cost per page is $1.5 and 38 pages of the book will cost $57
ProportionsData;
number of page = 20cost = $30To solve this question, we have to know the cost of one page of the book.
In the first scenario, 20 pages cost $30, let's find the cost of one page here.
[tex]20 page = \$30\\1 page = x\\x = \frac{30}{20}\\x = 1.5[/tex]
We can confirm our answer here by testing with the second scenario;
[tex]32 page = \$48\\1page = y\\y = \frac{48}{32} = 1.5[/tex]
Now can say that one page of the book cost $1.5, let's divide 57 by this to determine the number of pages
[tex]z = \frac{57}{1.5} \\z = 38[/tex]
From the calculations above, 38 pages of the book will cost $57.
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PLEASE HELP
A bank is offering 2.5% simple intrest on a savings account if 5,000 is deposited what is the balance in a year?
Answer:
The principal amount is 5000 dollars = 3, 70,000 rupees (5000 dollars x 74 Rupees)
Rate = 2.5%
Time = 1 year
Now, on putting the values given in the formula
S.I.= 9,250 Rupees
Now we convert it into dollars by diving 9,250 rupees by 74 rupees.
We get,
9250/74 = 125 dollars
Step-by-step explanation:
Kerry participated in a fundraiser for the Children's Wish Foundation yesterday. She sold 115 pins for $3 each, 214 ribbons for $4 each, 85 coffee mugs for $7 each, and 347 baseball hats for $9 each. Calculate the average amount Kerry raised per item.
Answer:
$6.46
Step-by-step explanation:
The average per item is the quotient of the total raised and the number of items. The total raised is the sum of the products from multiplying the number of items at a given price by that price.
__
A weighted average is computed easily using a spreadsheet or calculator.
Here, the average amount per item is computed by a calculator to be ...
$6.46 per item, average
NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse or exponential, write the equation. #9
Answer:
relationship: inverseequation: y = 25/xStep-by-step explanation:
You are correct that the relationship is inverse, and that the product of x and y is a constant, 25.
__
The equation should be written so that y is a function of x:
[tex]\boxed{y=\dfrac{25}{x}}[/tex]
The x in the denominator clearly shows that y is proportional to the inverse of x.
Answer:
Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.
Inverse relationship: the value of one variable decreases as the value of the other variable increases.
Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)
Question 5
As the x-value increases (by one unit), the y-value decreases.
Therefore, this is an inverse relationship.
The y-values can be calculated by dividing 25 by the x-value.
[tex]\sf y=\dfrac{25}{x}[/tex]
What is the lateral surface area of the triangular prism?
Round to the hundredths place.
Answer:
A triangular prism is a three-dimensional shape having two triangular bases and three rectangular sides.
Currently, the lowest tax bracket in the United States is
Α. 0%
Β. 15%
C. 1%
D. 10%
Answer:
D 10%
Step-by-step explanation:
PLEASE HELP ME ANSWER THIS !! I HAVE 7 MINUTES TO TURN IT IN HELP PLEASE
Step-by-step explanation:
You know that the three lines are parallel.
There weren't really any specific instructions so I'd assume that we're trying to find the lines. They are all in the same thing, as shown, one is 21 and the other is 12. That means the parallel line is cutting of 9.
We can then assume 2x+2-9=x+3
Then, to solve, you can get 2x-7=x+3
X=10
Hope this helped!
I'm a bit confused, but hope this helped again!
A basketball player averaged 20 points a game over the course of six games. His
scores in five of those games were 23, 18, 16, 24, and 27. How many points did he score in the sixth game?
Average Points= 20
No. of games = 6
Total points= 20×6=120
So, Sum of Score of five games= 23+18+16+24+27= 108
Therefore, Score in 6th game= 120-108= 12
Hope this helps[tex]\sf\large \green{\underbrace{\red{Answer⋆}}}:[/tex]
To find :-
The sixth score of the game
Given :-
All five scores = 23, 18, 16, 24, and 27
The average of all six score = 20
Solution :-
We will use the average formula to find the sixth score.
[tex]average = \frac{total \: of \: all \: scores}{number \: of \: scores} [/tex]
And let the sixth score be x.
[tex]20 = \frac{23 + 18 + 16 + 24 + 27 + x}{6} [/tex]
Now we will cross multiply, the 6 which on L.H.S will come to R.H.S and multiply with 20.
[tex]20 \times 6 = 23 + 18 + 16 + 24 + 27 + x \\ 120 = 108 + x \\ 120 - 108 = x \\ 12 = x[/tex]
Result :-
The sixth score by the baseball player is 12.
HELLLPPLPPPP MUDDLE SCHOOLLL!!!!
Answer:
D.
Thats what gauth.math said
PLEASE HELP, I'M BEING TIMED ;----;
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
Answer:
196 ft cubed
Step-by-step explanation:
formula = ((bxh)/2) x length
so
7 x 7 = 49
49 / 2 = 24.5
24.5 x 8 = 196
Hope this helps! If you need further help, let me know!
- profparis
A system of equations is shown below.
Equation A: 4x - y = -5
Equation B: x + 2y = 1
Which method eliminates one of the variables?
1.
Multiply equation A by 2 and add the result to equation B.
2.
Multiply equation B by 4 and add the result to equation A.
3.
Multiply equation A by 2 and equation B by 4, and add the results toge
4.
Multiply equation B by 2 and equation A by 4, and add the results toge
Answer:
this one has to be answer 1
Step-by-step explanation:
4x - y = -5
x + 2y =1
8x - 2y = -10
x + 2y = 1
9x = -9
What is the solution to the equation?
Answer: Your answer is X=-63
Hope this helps!
5x-2y=42
-3x+2y=-26
which of the following shows the results of the two equation added together?
Answer:
Step-by-step explanation:
When we add the two equaions, y will be cancelled becaue -2y + 2y = 0.
Thus we can find the value of x.
5x - 2y = 42 -----------(I)
-3x + 2y = -26 {Now add}
2x = 16
x = 16/2
x = 8
a how much will he have in 4. At the age of 30, Jasmine started a retirement account with $50,000 which compounded interest semi-annually with an APR of 4%. She made no further deposits. After 25 years, she decided to withdraw 50% of what had accumulated in the account so that she could con- tribute towards her grandchild's college education. She had to pay a 10% penalty on the early withdrawal. What was her penalty?
Answer:
6795.70
Step-by-step explanation:
smart people
After paying 10% penalty on the early withdrawal, Jasmine's penalty for the early withdrawal was calculated to be $5,352.24.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
here, we have,
We can use the formula for compound interest in ordr to solve this problem.
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal (starting amount)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, we have the following values,
P = $50,000
r = 1.75% = 0.0175 (since it is compounded semi-annually, n = 2)
t = 25 years
So the final amount after 25 years can be calculated as under
A = 50000(1 + 0.0175/2)^(2×25) = $107,044.84
Jasmine has withdrawn 50% of this amount, which is:
$107,044.84 × 0.5 = $53,522.42
She had to pay a 10% penalty on the early withdrawal, so her penalty would be:
$53,522.42 × 0.1 = $5,352.24
Therefore, the penalty of Jasmine penalty for the early withdrawal was $5,352.24.
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Please Help i need a professional no scam answers that have been happening i need to get allot done bye friday
Answer:
39%
Step-by-step explanation:
21/125=.168
33/125=.264
.432-.044352=.387648*100=39%
What is three multiples of 6
Answer:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Step-by-step explanation:
The pie chart below indicates the eye colors of students
in a statistics class
Which of the following could be the percentage of
students with brown eyes?
Eye Colors
O 10%
15%
20%
O 35%
Blue
Brown
Green
Hazel
Gray
Answer:
15% could be for brown eyes
Help picture below problem 17
Answer:
b= 7
Step-by-step explanation:
Answer:
Missing Side = 7 feet
Step-by-step explanation:
by Pythagora
25² = P² + 24²
625 - 576 = P²
P² = 49
P = √49
P = 7 feet
A spinner is labelled with three colors: Red, Green and Blue Marcus spun the spinner once and tossed a coin once.
Construct a tree diagram for this situation. Determine how many outcomes are possible Complete your work in the
space provided or upload a file that can display math symbols if your work requires it. Include the tree diagram in yo
answer.
Answer:
there are three outcomes
Step-by-step explanation:
three colours= three outcomes
don't have a diagram
The purpose of the deposit slip is to?
Answer:
DEPOSIT SLIPS OFFER PROTECTION TO BOTH THE BANK AND THE CUSTOM
Step-by-step explanation:
Benefits of Deposit Slips
Deposit slips offer protection to both the bank and the customer. Banks use them to help maintain a written ledger of funds deposited throughout the day and to ensure that no deposits are unaccounted for at the end of the business day.
Combined test scores were normally distributed with mean 1493 and standard deviation 342. Find the combined scores that correspond to these percentiles.
a) 20th percentile
b) 75th percentile
c) 80th percentile
a) The combined scores that correspond to 20th percentile is about ___? (Round to the nearest integer as needed.)
b) The combined scores that correspond to 75th percentile is about ___? (Round to the nearest integer as needed.)
c) The combined scores that correspond to 80th percentile is about ___?(Round to the nearest integer as needed.)
The combined scores that correspond to 20th percentile is about 1206.
The combined scores that correspond to 75th percentile is about 1724.
The combined scores that correspond to 80th percentile is about 1780.
What is z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean) / standard deviation
Given the mean 1493 and standard deviation 342.
a) 20th percentile has a z score of -0.84, hence:
-0.84 = (x - 1493)/342
x = 1206
b) 75th percentile has a z score of 0.675, hence:
0.675 = (x - 1493)/342
x = 1724
c) 80th percentile has a z score of 0.84, hence:
0.84 = (x - 1493)/342
x = 1780
The combined scores that correspond to 20th percentile is about 1206.
The combined scores that correspond to 75th percentile is about 1724.
The combined scores that correspond to 80th percentile is about 1780.
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Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.
Let f represent the number of flowers Ash has in all.
Which equation could be used to find the value of f?
5+10−8=f
5 + 10 + 8 = f
5×10−8=f
5 × 10 + 8 = f
Answer:
5 x 10 + 8 = f
Step-by-step explanation:
The reason it is 5 x 10 + 8 = f, is because each bunch has 10 and Ash has five.
In order to find how many flowers he has in 5 bunches is to multiply by how many flowers each bunch has.
Then he gets 8 more flowers which is why it has +8 in the equation.
The equation to get the total number of flowers is the last one:
f = 5*10 + 8
Which equation could be used to find the value of f?
We know that Ash has 5 bunches of flowers, each one contains 10 flowers, so there we have:
5*10 = 50 flowers.
Then he adds 8 more flowers, then we can write the total number of flowers as:
f = 5*10 + 8.
So the equation that we need to use is the last one.
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Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is (1 point) a −7 b negative 1 over 7 c 1 over 7 d 7
Heya !
Given two points A ( 8 , -4 ) and B ( 1 , - 5 )
To find - slope of line AB
Solution -
[tex] Slope = \frac{y_{2}-y_{1}}{x_{2} - x_{1}} \\ \\ \dashrightarrow \frac{ -5 - (-4 )}{ 1 - 8 } \\ \\ \dashrightarrow \frac{ - 5 + 4 }{ 1 - 8 } \\ \\ \dashrightarrow \frac{-1}{-7} \\ \\ \dashrightarrow \frac{1}{7}[/tex]
Hence ,
Option ( c ) is correct.
Hope helpful ~
5x+4y=-14 3x+6y=6
Linear Combination Method
Answer:
8x+10y=-8
Step-by-step explanation:
5x+3x=8x
4y+6y=10y
-14+6=-8
PLEASE HELP FOR BRAINLIEST ;-;
Find the area of this parallelogram. Be sure to include the CORRECT UNIT in your answer.
Answer:
182ft^2
pls give brainlyist
Step-by-step explanation:
area of a parallelogram is base * hight
13ft* 14ft
182ft^2
