Answer:
Step-by-step explanation:
5). 3x + y = 5 -------(1)
2x - y = 10 ---------(2)
By adding equation (1) and (2),
(3x + y) + (2x - y) = 5 + 10
5x = 15
x = 3
From equation (1),
3(3) + y = 5
y = -4
6). 4x + 3y = 13 -------(1)
x + y = 4 -------(2)
Multiply equation (2) by 3 and subtract it from equation (1)
(4x + 3y) - (3x + 3y) = 13 - 12
x = 1
From equation (2),
1 + y = 4
y = -3
7). x - 7y = 7 -----(1)
-3x + 21y = -21
-3(x - 7y) = -(3 × 7)
x - 7y = 7 -------(2)
Since, equation (1) and (2) are same, system of the equations will have infinitely many solutions.
8). x - 3y = 12
3y = x - 12
[tex]y=\frac{1}{3}x-4[/tex] --------(1)
3x - 9y = 18
3(x - 3y) = 3(6)
x - 3y = 6
3y = x - 6
[tex]y=\frac{1}{3}x-2[/tex] ----------(2)
Slopes of both the equations are same but the y-intercepts are different.
Therefore, both the lines are parallel and the system of equations will have no solution.
Solve the system of equations given below. y - 15 =3x and -2 + 5y = -3
Answer:
y-15=3x balakaksnzujsbhzbskndh
Answer:
x = - 6 , y = - 3
Step-by-step explanation:
y - 15 = 3x => y = 3x + 15 ------- ( 1 )
-2x + 5y = - 3 --------- ( 2 )
Substitute ( 1 ) in ( 2 ) :
-2x + 5 ( 3x + 15) = - 3
-2x + 15x + 75 = - 3
13x = - 3 - 75
13x = - 78
x = - 6
Substitute x in ( 1 ) :
y = 3x + 15
= 3 ( - 6 ) + 15
= - 18 + 15
y = - 3
Y is directly proportional to
the square of (x - 1). y=63
when x=4. find the value of y
when x=6.
Answer:
y = 100
Step-by-step explanation:
y [tex]\alpha[/tex] [tex](x -1)^{2}[/tex]
y = c ([tex]x^{2}[/tex] - 2x + 1)
When y = 63, x = 4;
63 = c ([tex]4^{2}[/tex] - 2(4) + 1)
= 9c
63 = 9c
c = [tex]\frac{63}{9}[/tex]
c = 7
Thus,
y = 4([tex]x^{2}[/tex] - 2x + 1)
The value of y when x = 6 can be determined as;
y = 4([tex]6^{2}[/tex] - 2(6) + 1)
= 4(25)
y = 100
Therefore, y = 100
A company that produces fine crystal knows from experience that 15% of its goblets havecosmetic flaws, while the remaining 85% are flawless.(a) (8 points) If eight goblets are selected at random, what is the probability that exactly twohave flaws
Answer:
The probability that exactly two have flaws is P (x=2) = 0.2376
Step-by-step explanation:
Here
Success= p= 0.15
Failure = q= 0.85
total number= n= 8
Number chosen = x= 2
Applying the binomial distribution
P (x=x) = nCx p^x(q)^n-x
P (x=2) = 8C2 0.15 ²(0.85)^8
P (x=2) = 0.2376
The success is chosen about which we want to find the probability. Here we want to find the probability that exactly two have flaws so success would be having flaws therefore p = 0.15
Prove that: log b (p2 - q2) – log b (p + q) = log b (p – q)
Answer:
Step-by-step explanation:
The formulas used to solve :
[tex][ log_b(\frac{x}{y}) = log_bx - log_by][/tex]
[tex](p^2 - q^2) = (p+q)(p-q)[/tex]
[tex]log_b(p^2 - q^2) - log _b(p + q) = log_b(p-q)\\\\log_b(\frac{(p^2 -q^2)}{(p+q)}) = log_b(p-q)\\\\log_b(\frac{(p+q)(p-q)}{(p+q)}) = log_b(p-q)\\\\log_b(p-q) = log_b(p-q)\\\\[/tex]
Hence proved.
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 8.8
Step-by-step explanation:
take 20 degree as reference angle .the,
hypotenuse = OQ = x (hypotenuse is always opposite of 90 degree)
perpendicular(opposite) = PQ 3 (opposite of reference angle is perpendicular or also called as opposite)
base(adjacent) = OP (side which lies on the same line where 90 degree and reference angle)
using sin rule
sin 20 = opposite / hypotenuse
0.34 = 3 / x
x = 3/0.34
x = 8.82
x = 8.8
PLEASEEEE HELPPPPP IM BEGGING SOMEONE HELPPP PLEASEEEEEEEEE PLEASEEEEEEEE
Answer:
x = -1
y = 6
Step-by-step explanation:
We can multiply the second equation by two, so we can have opposite y terms:
2 (3x - 2y = -15)
6x - 4y = -30
Now, we can add the equations, and the y terms can cancel out:
7x + 4y = 17
+ 6x - 4y = -30
13x = -13
x = -1
Now, we can plug in x:
3(-1) - 2y = -15
-3 - 2y = -15
-2y = -12
y = 6
A company is considering to choose between two investment projects with the
following details.
Project A : Costs RM7 million in upfront costs and will generate RM3 million in
annual income for five years starting three years from now.
Project B : Costs RM2.5 million upfront and RM2 million in each of the next
three years. This project generates no annual income but will be sold
six years from now for a sales price of RM16 million.
By using Net Present Value approach, with a discount rate of 8%, determine
which project should be choosen by the company.
Answer: Project A should be chosen as it has the highest NPV.
Step-by-step explanation:
Project A
Present value of inflows:
First find the present value of inflows 3 years from today. Bear in mind that the inflow is constant so this is an annuity:
= 3 million * Present value interest factor of annuity, 8%, 5 years
= 3 million * 3.9927
= RM11,978,100
Discount this value to the present:
= 11,978,100 / (1 + 8%)³
= RM9,508,602
Net Present value = Present value of inflows - Investment
= 9,508,601 - 7,000,000
= RM2,508,601
Project B:
Find present value of costs:
= 2,500,000 + (2 million * Present value interest factor of annuity, 3 years, 8%)
= 2,500,000 + (2,000,000 * 2.5771)
= 2,500,000 + 5,154,200
= RM7,654,200
Net present value = (16,000,000 / (1 + 8%)⁶) - 7,654,200
= RM2,428,514
Project A should be chosen as it has the highest NPV.
On four consecutive days, a concert pianist practiced for
3 1/2 hours,
6 1/3hours,
4 1/4 hours, and
5 1/6hours. Find the pianist's total practice time.
Answer:
19 hours and 15 minutes
Step-by-step explanation:
if you add it up all together it equals to 19.25 hours but you would convert it into 19 hours and 15 minutes
The pianist's total practice time is 19 3/12 hours.
Given that, on four consecutive days, a concert pianist practised for 3 1/2 hours, 6 1/3hours, 4 1/4 hours, and 5 1/6hours.
We need to find the pianist's total practice time.
How to add fractions?Mixed fractions with unlike denominators are a group of those mixed fractions that do not have the same denominator. Let us learn how to add mixed fractions with unlike denominators with the help of the following steps.
Step 1: The whole numbers of both the fractions are added first.
Step 2: If the denominators are different, so we have to find the Least Common Multiple (LCM) of the denominators.
Step 3: With the help of the LCM, we will write their respective equivalent fractions so that they become like fractions.
Step 4: Now, we have both the fractions with the same denominators, that is, they have been converted to like fractions.
Step 5: Add the like fractions now and then simplify.
Total=3 1/2+6 1/3+4 1/4+5 1/6
=(3+6+4+5) (1/2+1/3+1/4+1/6)
=18 (1/2+1/3+1/4+1/6)
LCM of denominators 2, 3, 4 and 6 is 12.
Now, 18 (6/12+4/12+3/12+2/12)
=18 15/12
=19 3/12
Therefore, the pianist's total practice time is 19 3/12 hours.
To learn more about the addition of fractions visit:
https://brainly.com/question/17544795.
#SPJ2
Your checking account is in debt $20. You use this account to make a $10 purchase. Then, you deposit $38 into the account. What is the balance of the checking account?
Answer: 8
Step-by-step explanation
Answer:
$8
Step-by-step explanation:
If we just keep track of the money in the account, we can solve this pretty quickly. If the balance is -20, and we subtract another 10 from it, it gives us -30. $38 is then deposited into the account, giving us a balance of $8.
[tex]-20-10+38=8[/tex]
i need to find the area of a rectangle using the formula A=b*h the height is 810 cm the base is 10 meters...i know i need to convert, but how do i set up the equation to gigute/work this this out?
Answer:
81000[tex]cm^{2}[/tex] or 8.1[tex]m^{2}[/tex]
Step-by-step explanation:
1m = 100cm
10m = 1000cm
a= b*h
a= 1000cm * 810cm
= 810000[tex]cm^{2}[/tex]
1[tex]m^{2}[/tex] = 10000[tex]cm^{2}[/tex]
810000[tex]cm^{2}[/tex] = 8.1[tex]m^{2}[/tex]
What is the slope of the line that is parallel to the y-axis and passes through the point (–1, 5)?
–1
0
5
undefined
Undefined.
All lines that are parallel to the y-axis have an undefined slope.
Answer:
This is an Undefined Slope
Of their first 18 games of the season, the
Chicago Cubs lost 4 games and won the
others. What percent of the games have
they won?
The percentage of the games the club has won is P = 77.78 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the total number of games = 18
The number of games they lost = 4
So , the number of games they won = 14 games
Now , the percentage of games they won = ( 14 / 18 ) x 100
On simplifying the equation , we get
A = 0.7778 x 100
A = 77.78 %
Hence , the percentage is 77.78 %
To learn more about percentage click :
https://brainly.com/question/12861068
#SPJ2
Suppose the manager of a shoe store wants to determine the current percentage of customers who are males. How many customers should the manager survey in order to be 80% confident that the estimated (sample) proportion is within 9 percentage points of the true population proportion of customers who are males?
Answer:Sử dụCustomer Datang
Step-by-step explanation:
Please help i’ll rate brainliest too
Answer:
- 4
Step-by-step explanation:
h(x) = sin x
f(x) = | 3x - 4 |
g(x) = 2x² - 6
h( [tex]\frac{\pi }{2}[/tex] ) = sin ( [tex]\frac{\pi }{2}[/tex] ) = 1
f ( 1 ) = | 3 × 1 - 4 | = 1
g ( 1 ) = 2( 1² ) - 6 = - 4
g ( f ( h ( [tex]\frac{\pi }{2}[/tex] ) ) ) = - 4
Using the area model below, write the standard form of the product.
- 3x
2.
x2
-14x
5
Answer:
-3x³ + 44x² - 43x + 10
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}&-3x&2\\x^2&-3x^3&2x^2\\-14x&42x^2&-28x\\5&-15x&10\end{array}\right][/tex]
= -3x³ + 2x² + 42x² - 28x - 15x + 10 = -3x³ + 44x² - 43x + 10
the Satya Vansh become an important dynasty in the world of
Answer: it’s 352425262625251452 is 4th of July and I am present
Step-by-step explanation:
1. Which of the following is a nonlinear function?
A. The items at a clothing store are sold at a discount of 20% off the original price.
B. The number of dogs in a town increases by 20 per neighborhood per year.
C. A soccer manufacturing company spends $5 on each soccer ball.
OD. The number of students enrolling at a high school increases each year by a factor of 1.25.
Find the reciprocal of 4i
1/4i
i/-4
i/4
16i
waht is 3.50 times 43.5
Answer:152.25
Step-by-step explanation:
3.5""""""""""""""""""""43.5
152.25
The 3.50 times of the 43.5 will be 152.25.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Multiplication gives us a resultant number which will be very big as compare to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
For example 2 × 9 = 18 in this the number 18 is very big as compared to 2 and 9.
A another example is 0.5 × 9 = 4.5 in this case the number 4.5 is less than 9 because of the 0.5 is less than 1.
Given that 3.50 times 43.5
3.50 × 43.5
⇒ 152.25 hence, 152.25 will be the correct option.
For more information about multiplication
https://brainly.com/question/14059007
#SPJ2
3 cm
8 cm
Find surface area of cylinder
Answer: [tex]66\pi \text{ cm}^{2[/tex]
Step-by-step explanation:
[tex]S=2\pi(8)(3)+2\pi(3)^{2}=\boxed{66\pi \text{ cm}^{2}}[/tex]
Umm can someone help me lol
Answer:
Answer is C
Step-by-step explanation:
WILL MARK YOU IF YOU HELP ME PLEASE!!
Answer:
84
Step-by-step explanation:
180-72-24
so the answers is 84
Answer:
84
Step-by-step explanation:
In all triangles, once the angles are added up the total will be 180° and so in this case first add then subtract.
72+24=96
180-96=84
1. Mars states that of the M&M's they produce for their regular bags of M&M's that 20% are
yellow, 20% are red, 10% are orange, 10% are blue, 10% are green, and the rest are brown
a. If you were to pick an M&M at random, what is the probability that:
i. It is brown?
It is yellow or orange?
It is NOT green?
Answer:
it is brown.
Step-by-step explanation:
100%-20%-20%-10%-10%-10%=30%
most=30%
Answer:
It is brown
it is not green
Step-by-step explanation:
100%-20%-20%-10%-10%-10%=30%
yellow = 20%
orange = 10%
green = 10%
so, it is brown and it is not green.
Draw and label the circle given by the equation (x - 5 + y + 10 = 6
Answer:
See attachment for drawing
Step-by-step explanation:
Given
[tex](x -5)^2 + (y + 10)^2 = 6^2[/tex]
Required
Draw and label the circle
The equation of a circle is:
[tex](x -a)^2 + (y - b)^2 = r^2[/tex]
Where:
[tex]Center = (a,b)[/tex]
[tex]Radius = r[/tex]
So, we have:
[tex]Center = (5,-10)[/tex]
[tex]Radius = 6[/tex]
See attachment for drawing
What is the length of DF?
Answer:
-DE+EF
Step-by-step explanation:
this is because DE is a negative vector because we are moving against the direction
MT is a diameter of OE. Calculate the measure of ZMTH.
A. 17°
B. 34°
C. 68°
D. 146
NEED HELP please, check the picture
Answer:
A. 17°
Step-by-step explanation:
Recall: measure of an inscribed angle = ½(intercepted arc)
Inscribed angle = m<MTH
Intercepted arc = arc MH = 34°
Therefore,
m<MTH = ½(Arc MH)
Substitute
m<MTH = ½(34)
m<MTH = 17°
(2x-7)/4=(x+3)/3
someone help me?
=
3
3
2
hope it's helpful for you
Answer:
x=33/2
Step-by-step explanation:
[tex]\frac{2x-7}{4}[/tex]=[tex]\frac{x+3}{3}[/tex]
do cross multiplication
4(x+3)=3(2x-7)
4x+12=6x-21
12+21=6x-4x
33=2x
33/2=x
sixteen less than z gives six.
Answer:
z = 22
Step-by-step explanation:
z - 16 = 6
z = 22
Hope this helped!
Algebra
z-16=6
z=22
what your problem in word form is saying is that sixteen less from z equals out to 6.
The spoke of a wheel is 15 inches long. What if the area enclosed by the tire?
Answer:
the radius is equal to 3.2ft
Which number is missing in the table of values below?
x
y
0
1
1
6
2
36
3
?
4
1,296
108
216
324
648
Answer:
216
Step-by-step explanation:
Correct on Edge
The solution is: 216, is missing number in the table of values below.
What is an exponent in math?An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
Given :
x = 0 ,1 ,2 ,3 , 4
y = 1 ,6 ,36 ,? , 1296
As we can see that values of y :
y = 6^0 = 1
y = 6^1 = 6
y = 6^2 = 36
y = 6^3 = 1296
so y =216 , is the solution
so, we get, the values of y is exponent of 6 as the values of x, respectively.
The equation can be given for solving the question is y = 6^x
By putting given values of x we are getting values of y .
So for x =3 we are getting y = 216
Hence, 216, is missing number in the table of values below.
To learn more on exponent number click:
brainly.com/question/19467739
#SPJ7
