Answer:
The solution of the system is (5, -7)
Step-by-step explanation:
Here we have the system:
y = (-1/5)*x - 6
y = -2*x + 3
We know that this system is graphed below, and the question is incomplete, but I assume that we want to find the solution to this system. If you can see the graph, the solution is just the point where both graphs intersect, but we can find the solution analytically.
We know that:
y = (-1/5)*x - 6
y = -2*x + 3
Then, we can write:
y = (-1/5)*x - 6 = y = -2*x + 3
This leads to:
(-1/5)*x - 6 = -2*x + 3
Now we can solve this for x.
(-1/5)*x + 2*x = 3 + 6
(-1/5)*x + (10/5)*x = 9
(9/5)*x = 9
x = (5/9)*9 = 5
x = 5
now that we know the value of x, we can input this in one of the two equations above to find the correspondent value of y, we will get:
y = -2*x + 3 = -2*5 + 3
y = -10 + 3 = -7
y = -7
Then the solution is:
x = 5 and y = -7, or (5, -7)
Beth corbin's regular hourly wage are is $16,and she receives an hourly rate of $24 for work in excess of 40 hours. During a January pay period,Beth works 45 hours. Beth's federal income tax withholding is $95, she has no voluntary deductions, and the FICA tax rate is 7.65%. Compute Beth corbi's gross earnings and net pay for the pay period
Answer:
$760 gross
$614.13 is net
Step-by-step explanation:
Beth earns $16 x 40 for the first 40 hours she works.
Then she earns overtime--> 5 hours at $24 per hour
Her "gross" earnings are before any deductions or taxes.
So 16x40 = 640 and 5x24= 120 so her January gross earnings are 640+120=
$760 gross
Her "net" pay is what is left over after taxes.
So take the $760 and subtract the $95 withholding = $665
Taxes are 7.65% so multiply 665 x 0.0765 = 50.8725 and subtract that also.
614.1275 rounded to $614.13 is net.
*An Old man bought a goat for R60us and sold it for R70. Then Bought it back for R80us and sold it for R90us .Whats the profit he made ?*
A. R10
B. R20
C. R0
D. R-20
Answer:
20
Step-by-step explanation:
(90+70)-(80+60)=20
just minus the total selling price to the total cost price
The west side soccer league has 186 players. They expect a 7.5% increase in players for at least the next 4 years. How many players will they have at that point?
Answer:
They will have 200 players at that point.
Step-by-step explanation:
7.5% increase
This means that the amount will be 100% + 7.5% = 107.5% = 1.075 of the original amount, that is, the original amount multiplied by 1.075.
Currently has 186 players. How many players will they have at that point?
186*1.075 = 199.95
Rounding up:
They will have 200 players at that point.
The sum of the first 8 terms of a geometric sequence with 4 as the first term and a common ratio of 3 is
9514 1404 393
Answer:
13120
Step-by-step explanation:
The sum of terms of a geometric series is ...
Sn = a1·(r^n -1)/(r -1)
You have n=8, a1=4, r=3, so the sum is ...
S8 = 4·(3^8 -1)/(3 -1) = 2(3^8 -1) = 13,120
Answer:
13 120Step-by-step explanation:
hope it helps u too
Use Simpson’s Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare your answer with the value of the integral produced by your calculator.
Answer:
The answer is "7.248934".
Step-by-step explanation:
The area of the curve obtained after rotating it about the x-axis is :
[tex]2 \pi \int^2_1 y \sqrt{1+ \{ \frac{dy}{dx}\}^2 \ dx}\\\\y=x\ \ln \ x \ And \ \frac{dy}{dx}=1+ \lh\ x[/tex]
So, The area of the curve obtained after rotating it about the x-axis is : [tex]2 \pi \int^2_1 (x \ln \ x) \sqrt{(\ln\ x)^2+ 2 \ln \ x+ 2\ dx}\\\\[/tex]
Simpson's rule approximation with n=10 is:
[tex](\frac{1}{3})\times (0.1) \times ( f(1) + 4 \times f(1.1) + 2\times f(1.2) + 4 \times f(1.3) + 2 \times f(1.4) + 4 \times f(1.5) + 2 \times f(1.6) + 4 \times f(1.7) + 2 \times f(1.8) + 4 \times f(1.9) + f(2) ) = 7.248933= 7.248934[/tex]
What is the distance between [(3 + 4i) + (2 - 3i)] and (9 - 2i)?
Answer:
5
Step-by-step explanation:
(3 + 4i) + (2 - 3i) = 3 + 4i + 2 - 3i = 5 + i
distance between (5 + i) and (9 - 2i) is the difference between them. and difference means subtraction.
(9 - 2i) - (5 + i) = 9 - 2i - 5 - i = 4 - 3i
and since we are looking for a distance, we are looking for the absolute value of that subtraction.
after all, we could have done the subtraction also in the other direction
(5 + i) - (9 - 2i) = -4 + 3i
and this must be the same distance.
|(-4 + 3i)| = |(4 - 3i)|
and that is done by calculating the distance of any of these 2 points from (0,0) on the coordinate grid of complex numbers.
|(a +bi)| = sqrt(a² + b²)
in our case here
distance = sqrt(4² + (-3)²) = sqrt(16 + 9) = sqrt(25) = 5
as you can easily see, this is (as expected) the same for the result of the subtraction in the other direction :
sqrt((-4)² + 3²) = sqrt(16+9) = sqrt(25) = 5
Over what interval is the quadratic function decreasing?
x ∈ (−∞,−2)
x ∈ (-2,−∞)*******
x ∈ (-2, ∞)
x ∈ (−∞,3)
Answer:
x ∈ (-2,−∞)
Step-by-step explanation:
x ∈ (-2,−∞)
this is the answer to the question
GUIDE QUESTIONS:
1. What is the idea or theme of the play?
2. How do you feel after watching the performance?
3. Does the integration of musical sound, songs, dialogue, and dance affect the
overall mood of the play?
Answer:
1.sowwy I dunno
2.its so good and it's perfect
3.i dunno ulet hehe
Step-by-step explanation:
Sorry walang matino na sagot.
Mr. Ahmed sold his motorcycle to Mr. Saad at a loss of 28%. Mr.Saad spent Rs.1680 on its repairs and sold the motorcycle to Mr. Faiz for Rs.35910, thereby making a profit of 12.5%. Find the cost price of the motorcycle for Mr. Ahmed.
Answer:
Rs. 42000
Step-by-step explanation:
Let us assume that Mr. Ahmed bought the bicycle for Rs. x, and sold it for Rs. y to Mr. Saad. Since he made a loss of 28%, hence:
y = x - 0.28x = 0.72x
Mr. Saad spent Rs.1680 on its repairs, therefore the total cost price of the motorcycle = 0.72x + 1680
He then sold it for Rs.35910 making a profit of 12.5%. Therefore:
0.72x + 1680 + [0.125(0.72x + 1680)] = 35910
0.81x + 1890 = 35910
0.81x = 34020
x = Rs. 42000
Therefore the cost price of the motorcycle for Mr. Ahmed is Rs. 42000
If using the method of completing the square to solve the quadratic equation x^2-14x+30=0, which number would have to be added to "complete the square"?
Answer:
we add 49
Step-by-step explanation:
the answer is in the above image
Kyle buys a bag of cookies that contains 4 chocolate chip cookies, 9 peanut butter cookies, 9 sugar cookies and 7 oatmeal cookies. What is the probability that Kyle randomly selects a sugar cookie from the bag, eats it, then randomly selects a peanut butter cookie
A sports trainer has monthly costs of $80 for phone service and $40 for his website and advertising. In addition he pays a $15 fee to the gym for each session in which he works with a client.
Required:
a. Write a function representing the average cost
b. Find the number of sessions the trainer needs if he wants the average cost to drop below $16 per session.
Answer:
Step-by-step explanation:
The average cost for the training session provided he is a sports trainer can be computed as follows:
Let's assume that;
average cost = C(x)
the no. of session = x
Then:
[tex]C(x) = \dfrac{\text{Total cost}}{\text{no. \ of sessions}}[/tex]
[tex]C(x) = \dfrac{\text{80 + 40 + 15x}}{\text{x}}[/tex]
[tex]C(x) = \dfrac{\text{120+ 15x}}{\text{x}}[/tex]
Now, suppose the trainer wants the average cost C(x) to drop below $16;
Then, we have the following function:
[tex]\dfrac{120+15x}{x}\leq C(x)[/tex]
[tex]\dfrac{120+15x}{x}\leq16[/tex]
By cross multiply:
120 + 15x ≤ 16x
120 ≤ 16x - 15x
120 ≤ x
Therefore, the required no. of session, if the average cost should drop below $16, is 120.
Following are the solution to the required points:
Assuming that he's also a sports trainer, the typical cost of such a training program is just as follows:Total cost = C(x)
Total session = x
Then:
[tex]\to C(x)=\frac{\text{Total cost}}{\text{Total sessions}}=\frac{80+40+15x}{x}= \frac{120+15x}{x}[/tex]
Assume the trainer desires that the average cost C(x) be less than $16. So function is therefore available:[tex]\to \frac{120+15x}{x} \leq C(x)\\\\\to \frac{120+15x}{x} \leq 16\\\\[/tex]
By cross multiply:
[tex]\to 120 + 15x \leq 16x\\\\\to 120 \leq 16x - 15x\\\\ \to 120 \leq x[/tex]
As a result, if the average cost drops below $16, the required number of sessions is 120.
Learn more:
brainly.com/question/24859268
On a given test with a maximum possible score of 100 points, the vast majority of the 259 students in a class scored either a perfect score or a zero, with only one student scoring within 10 points of the mean. Could we say that the test scores are normally distributed? Explain your answer.
Answer:
no, in a normal distribution mode=median=mean. So while in theory, the median and the mean can be the same, the mode is not.
Step-by-step explanation:
Based on the maximum possible score, the scores by the student, and the deviation, we cannot say that the test scores are normally distributed.
What makes a distribution normal?In a normal distribution, the mean, mode and median have to be equal thanks to the bell-shaped nature of the distribution.
In this case, the median will be the score of the single student who is 10 points off the mean.
The mean will be affected by the extreme values of zero and a perfect score, and the mode will either be zero or 100.
The mean, mode, and median are therefore not the same so this isn't a normal distribution.
Find out more on normal distributions at https://brainly.com/question/23418254.
#SPJ9
If ∠P measures 27°, ∠R measures 135°, and r equals 9.5, then which length can be found using the Law of Sines?
p
r
PQ
PR
Answer:
p
Step-by-step explanation:
p/sin27 = 9.5/sin135
p = sin27 * 9.5/sin135
Answer:
p
Step-by-step explanation:
What is the range for any polynomial function with an odd degree? Why?
Answer:
All real numbers
[tex]( - \infty . + \infty )[/tex]
Step-by-step explanation:
because the domain is R and range depends of domain and it also depends on the leading coefficient
for example f(x) = x^3+1
the range is
[tex]y \geqslant 1[/tex]
Answer these please!!!
Answer:
(upper left) 3 triangles
(upper right) 5 triangles
(lower left) 9 rectangles
(lower right) next pattern is a grid that is 8 by 8.
The pattern is the previous side multiplied by 2
first block is 1x1
second block is 2x2
third block is 4x4
next block would be 8x8
Step-by-step explanation:
Leila is arranging 11 cans of food in a row on a shelf. She has 4 cans of corn, 1 can of peas, and 6 cans of beets. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical.
Given:
Leila is arranging 11 cans of food in a row on a shelf. She has 4 cans of corn, 1 can of peas, and 6 cans of beets.
To find:
The distinct orders can the cans be arranged if two cans of the same food are considered identical.
Solution:
Total number of cans = 11
Cans of corn = 4
Cans of Peas = 1
Cans of beets = 6
We need to find divide total possible arrangements (11!) by the repeating arrangements (1!, 4!, 6!) to find the distinct orders can the cans be arranged if two cans of the same food are considered identical.
[tex]\text{Distinct order}=\dfrac{11!}{1!4!6!}[/tex]
[tex]\text{Distinct order}=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{1\times (4\times 3\times 2\times 1)\times 6!}[/tex]
[tex]\text{Distinct order}=\dfrac{55440}{24}[/tex]
[tex]\text{Distinct order}=2310[/tex]
Therefore, the total number of distinct orders is 2310.
Were the Egyptian rulers' tombs built before or after they died?
Answer: I don't know the exact details but Egypt is home to some of the world's most famous tombs, among them the monumental pyramids. Egyptians built rectangular benches over graves during the fourth dynasty, which was known as the Masabas period. During this time period, pyramids were constructed by stacking square or rectangular tombs on top of one another.
Step-by-step explanation:
What is the slope of a line that is parallel to y = 3x + 5?
Answer:3
The lines that are parallel have the same slope. For the line y=3x + 5, slope = 3, so, for parallel line slope also will be equal 3
Step-by-step explanation:
2826666667×(〖1,06〗^n-1)=800000000
(〖1,06〗^n-1)=0,283
〖1,06〗^n=1,283
〖log(1,06)〗^(n )=log( 1,283)
nlog(〖1,06)〗^n=log(1,283)
Answer:
Step-by-step explanation:
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 59 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean µ = 59 tons and standard deviation σ = 1.9 ton.a) What is the probability that one car chosen at random will have less than 49.5 tons of coal? b) What is the probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal?
Answer:
b) What is the probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal? (Round your answer to four decimal places.)
Step-by-step explanation:
x²-10xy + 16y²-z² + 6yz
Answer:
(x - 8y + z)(x - 2y - z)
Step-by-step explanation:
Factorize :
x²-10xy + 16y²-z² + 6yz
Solution:
x²-10xy + 16y²-z² + 6yz
Firstly, make sure that all the terms are arranged in a well ordered manner:
x²-10xy + 16y²-z² + 6yz
Secondly, split the term (16y²) common to both equation:
(x²-10xy + 25y²) - 9y² -z² + 6yz
Thirdly, factorize both terms:
(x - 5y)² - 1(z² - 6yz + 9y²)
Factorizing the second term:
(x - 5y)² - (z - 3y)²
Using the difference of two squares, that is A² - B² = (A + B)(A - B):
(x - 5y)² - (z - 3y)² = [(x - 5y) + (z - 3y)][(x - 5y) - (z - 3y)]
= [x - 5y + z - 3y][x - 5y - z + 3y]
= (x - 8y + z)(x - 2y - z)
convert 3684 to standard form
To write a linear expression in standard form, rearrange the terms in alphabetical order.
3684
Your aunt is asking your help in figuring out how to
maximize profit for her pottery business. She makes
$35 on a bowl and $30 on a plate. She has just
ordered 40 pounds of clay. A bowl uses 5 pounds of
clay and a plate uses 4 pounds of clay. She already
has orders to make 4 bowls. How many bowls and
plates should she make in order to maximize her profit?
Step 1: Identify your variables and write the objective
function
What does x represent? What does y represent?
Answer:
650
Step-by-step explanation:
Find the value of y for a given value of x, if y varies directly with x. If y = 0.15 when x = 1.5, what is y when x = 6.3? a. –0.63 b. 0.63 c. 63 d. –63 Please select the best answer from the choices provided A B C D
Answer:
b
Step-by-step explanation:
I believe its b, because1.5 is 10 times 0.15
and 6.3 is 10 times 0.63
F=16,V=12,E=□ by euler's formula
Answer:
26
Step-by-step explanation:
F + V = E + 2
Where,
F = number of faces = 16
V = number of vertices = 12
E = number of edges = ?
F + V = E + 2
16 + 12 = E + 2
28 = E + 2
28 - 2 = E
26 = E
E = 26
E = number of edges = 26
In AUVW, W = 840 cm, u = 350 cm and ZV=63º. Find the area of AUVW, to the
nearest square centimeter.
Answer:
[tex]Area = 130977cm^2[/tex]
Step-by-step explanation:
Given
[tex]W=840[/tex]
[tex]U = 350[/tex]
[tex]\angle V = 63^o[/tex]
Required
The area
The area is calculated as:
[tex]Area = \frac{1}{2}UW\sin(V)[/tex]
So, we have:
[tex]Area = \frac{1}{2}*350*840*\sin(63^o)[/tex]
[tex]Area = \frac{1}{2}*350*840*0.8910[/tex]
[tex]Area = 130977cm^2[/tex]
서울기업(주)는 2X20년 7월 5일에 장기간 보유 목적으로 원주기업(주)의 주식 1,200주를 1주당 15,000원에 매수하고 수표를 발행하여 매수대금을 지급하였다. 취득 부대비용은 없다. 이 1,200주는 원주기업(주)이 발행한 주식의12%에 해당하고, 서울기업(주)은 이를 FVOCI 측정 추자주식으로 분류하였다. 서울기업(주)은 원주기업(주) 주식 외에는 다른 회사 주식을 보유하고있지 안다. 다음은 원주기업(주) 주식에 대한 자료이다.
(1) 2X20년 말에 원주기업(주) 주식의 1주당 주가는 14,000원이었다.
(2) 2X20년 3월 25일에 원주기업(주)으로부터 배당금 150만원을 현금으로 받았다.
(3) 2X21년 말에 원주기업(주) 주식의 1주당 주가는 18,000원이었다.
(4) 2X22년 4월 20일에 서울기업(주)은 원주기업(주) 주식을 주당 17,500원에 전부 매각처분하고 처분대금을 현금으로 받았다.
물음: 서울기업(주)의 2X21년 말 재무상태표에 표시되는 장기투자주식 금액과, 기타포괄손익누계액 금액 그리고 포괄손익계산서에 표시되는 기타포괄손익(평가손익)은 각각 얼마인가?
Answer:
ディーズナッツ
Step-by-step explanation:
Find the equation of the circle that has a diameter with endpoints located at (-3,6) and (9,6).
Answer:
C
Step-by-step explanation:
Diameter is 12.
Radius is 6
Center is (3,6)
What is the reciprocal of tanB in the triangle below?
Right triangle A B C is shown. C is the right angle and side A B is the hypotenuse.
tanC
tanA
tan-1C
tan-1A
Answer:
Tan A
Step-by-step explanation:
Tan B = opposite / Adjacent = AC / BC
Reciprocal of Tan B = 1 ÷ Tan B
1 ÷ Tan B = 1 ÷ AC/BC = 1 * BC / AC = BC / AC
Reciprocal of Tan B = BC / AC
the reciprocal of tan B is equivalent to :
Tan A = opposite / Adjacent = BC / AC
Hence, the reciprocal of Tan B is Tan A
Answer:
Note: Images are not in order. Check page number on pictures to make sure you have the right Answer.
Have a Good Day! God bless!
Step-by-step explanation:
Question 6 “A”
Question 7 “D”
Question 8 “B”
Question 9 “B”
Question 10 “A”
Note: Answers From 1 to 5 in order here:
Question 1 “ B”
Question 2 “A”
Question 3 “B”
Question 4 “D”
Question 5 “D”