Answer:
hello. x =3
Step-by-step explanation:
\( - 8x = - 24 \\ \frac{ - 8x}{ - 1} = \frac{ - 24}{ - 1} \\ 8x = 24 \\ \frac{8x}{8} = \frac{24}{8} \\ x = 3\)
hope you u understand
A total of 5000 tickets were sold for a raffle. the prizes are $1000, $500, $200, and $100. what price should be charged so there is a 60% profit per ticket?
Answer: $0.576
Step-by-step explanation:
The total amount in prizes is $1800.
For there to be 60% profit, the total cost of the tickets need to be \(1800(1.6)=\$ 2880\).
Thus, each ticket must sell for \(\frac{2880}{5000}=\$ 0.576\)
Wires are usually made from materials, copper and plastic. Explain why
please need this right now because I'm not doing my homework but my teacher said that she's gonna ask me in 20 min so I really need this answer pls pls pls pls pls pls
Answer:
because aluminum and copper are excellent conductors of electricity. the plastic can prevent short circuit while getting on ground or when it brushes against another wire.
Given: PQ | P’Q’
Prove: (m PQ) (m P’Q’) = -1
1. m PQ = y2-y1/x2-x1 = [spade]/c-a
[spade] =
2. m P’Q’ = y2-y1/x2-x1 = c-a/[heart]
[heart] =
3. m P’Q’ = c-a/-d-(-b) = c-a/[spade]
[spade] =
1. d-b
2. -d -(-b)
3. -d+b
tan(x-1) ( sin2x-2cos2x) = 2(1-2sinxcosx)
The equation is proved.
G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)
We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)
in the given equation, we get
\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)
\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)
\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)
\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)
\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)
`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)
For `LHS`, using identity
\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)
\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)
\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)
For more question equation
https://brainly.com/question/17145398
#SPJ8
A chemical plant manufactures fertilizer. A particular fertilizer recipe calls for 2 units of potash for every 3 units of urea. The potash is shipped to the plant in modular pallets with dimensions (x+6) by (x-2). The urea is shipped to the plant in modular pallets with dimension (x-2) by (x+1). Assuming equal molar density in each product, calculate x such that there is no material left over after manufacturing the fertilizer.
The value of x such that no meterial left over after manufacturing the fertilizer is 1
How to calculate for x?The area of a place is the floor space occupied by an object. we are to determine the value of x in the length and width of the floor to be used by the manufacturer
The givn parameters are the use of
2 units of potash and
3 units of urea.
Recall that the area of a rectangular floor space is (L*W).
This implies that (x+6)(x-2)=2
x²-2x+6x-12=2
x²+4x-10=0 .......................... (1)
Also, for the urea
Area= (x-3)(x+1)=3
x²+x-2x-2=3
x²-x-2-3=0
This implies that
x²-x-5=0 .............................(2)
Assuming equal molar density in each product,
equations 1 and 2 are equal
x²+4x-10=x²-x-5
Collecting like terms
x²-x+4x+x-10+5=0
5x-5=0
5x=5
x=1
Therefore, assuming equal molar density in each product the value of x=1
Learn more about area of rectangle on https://brainly.com/question/20693059
#SPJ1
lim (cosec 2x - xcosec³x)
x approaches 0
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
We have,
To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.
The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).
Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.
Substituting these into the expression,
We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).
Now, let's evaluate the limit term by term:
lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).
lim(x approaches 0) (x (1/(sin(x))³))
= 0 (1/(sin(0))³)
= 0 x 1/0 (which is also undefined).
Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.
Therefore,
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
Learn more about limits here:
https://brainly.com/question/12211820
#SPJ1
I NEED HELP
Which of the following is the difference of 35.6 and 7.43?
A.27.17
B.27.23
C.28.17
D.28.23
don’t send links; PLEASE HELP FAST I WILL DO ANYTHING, I’LL GIVE U 2K ON BLOXBURG
Answer:
i think its 90
Step-by-step explanation:
you would multiply the right box which is 2 x 3 ( i got 3 because its half of 6 which is at the top) then you would multiply the left box which is 3 x 5
2 x 3 = 6
3 x 5 = 15
15 x 6 = 90
i dont need the 2k on bloxburg
if its right could i get brainliest?
If you can buy one can of pineapple chunks
for $2 then how many can you buy with 10
Answer:
5
Step-by-step explanation:
10/2 = 5
Answer: 5 i think cuz 2 x 10 is 5
Step-by-step explanation: Hope this helps :)
Solve the following equation.
50x - 1200= -5x + 1550
The solution set is
(Simplify your answer.)
Step-by-step explanation:
50x +5x=1550+1200
55x= 2750
x=50
What is the equation of the line that passes through the point (-1, -5) and has a slope of -2?
Answer:
2x+y=-7
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=-2(x-(-1))
y+5=-2(x+1)
y=-2x-2-5
y=-2x-7
-2x-y=7
2x+y=-7
Getting a piano into a truck isn't easy, so we often use a ramp to lower the amount of required force. Three students want to use least effort to put the piano into a truck. They have tried ramps with different length- 3 m, 4 m and 5 m. They have observed that the three of them are needed when the length is 3 m, two of them when the ramp is 4 m and just one when the ramp is 5 m.
Suppose that continuous random variables X and Y have a joint probability density function given by: f X,Y
(x,y)={ c⋅x 2 y,0,0≤x≤2;0≤y≤2 otherwise 1. Define the mode of a continuous random variable to be the point at which the density is maximized, if such a point exists. What is the mode of YY?
2. What value of cc makes this a valid probability density function?
3. What is the expected value of YY, E[Y]E[Y]?
4. What is the variance of YY, V[Y]V[Y]?
And , the Y's variance is \(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)To find the mode of Y, we need to find the value of y that maximizes the joint probability density function\(f_X, Y(x,y).\)
To do this, we can fix x to be a particular value and then find the value of y that maximizes \(f_X, Y(x,y).\)
For any fixed x between 0 and 2, the function\(f_X, Y(x,y)\) is maximized at y = 1, since this is the only value of y that depends on x and maximizes the function\(cx^2y.\) Therefore, the mode of Y is 1.
To find the value of c that makes this a valid probability density function, we need to ensure that the integral of \(f_X, Y(x,y)\)over the entire sky-plane is equal to 1. We can set up the integral as follows:
integral from 0 to 2 of (integral from 0 to 2 of cx^2y dy) dx
= integral from 0 to \(2 of [c*x^2/2 * y^2]\)evaluated from 0 to 2 dx
= integral from 0 to 2 of \(c*x^2 x2d\)
= [2c/3 * x^3] evaluated from 0 to 2
= (16c/3)
For this to equal 1, we must have c = 3/16. Therefore, the valid probability density function is:
f_X,Y(x,y) = { (3/16)x^2y, 0 <= x <= 2, 0 <= y <= 2; 0, otherwise }
To find the expected value of Y, we need to integrate Y times the joint probability density function f_X, Y(x,y) over the entire xy-plane:
E[Y] = integral from 0 to 2 of (integral from 0 to 2 of y*f_X, Y(x,y) dy) dx
= integral from 0 to 2 of \([(3/16)*x^2/2 * y^2]\) evaluated from 0 to 2 dx
= integral from 0 to 2 of (3/16)*x^2 dx
= [3/16 * x^3/3] evaluated from 0 to 2
= 1
Therefore, the expected value of Y is 1.
To find the variance of Y, we first need to find the second moment of Y by integrating Y^2 times the joint probability density function f_X, Y(x,y) over the entire xy-plane:
E[Y^2] = integral from 0 to 2 of (integral from 0 to 2 of y^2*f_X, Y(x, y) dy) dx
= integral from \(0 to 2 of [(3/16)*x^2/3 * y^3]\) evaluated from 0 to 2 dx
= integral from \(0 to 2 of (3/8)*x^2 dx\)
= \([3/8 * x^3/3]\) evaluated from 0 to 2
= 2
And , the Y's variance is
\(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)
To know more about the variance
brainly.com/question/14116780
#SPJ4
Which graph shows the solution to this system of equations?
Answer:
the third one where they intersect at 2 and -2
Step-by-step explanation:
After a 90% reduction, you purchase a new soft drink machine on sale for $66. What was the original price of the soft drink machine?
The original price was
GEZER
Answer:
$660.
Step-by-step explanation:
So when we apply a discount to a product we multiply the price of the product (let's all is x) for the percentage of the discount (let's apply 90% as the probnlem says) so then we have the following operation:
x ⋅ (1-0.9) = y
Variable y is the price at which you bought the product, it's $66, on this case. Therefore, this is the expression we have:
x ⋅ (1-0.9) = $66
Now, to get the original value of the product (x), we solve the equation for x:
x ⋅ (1-0.9) = $66
x= $66 / (1-0.9)
x= $66 / (0.1)
x= $660
• Why did we multiply by 1-0.9?
This is because we were looking for the 10% of the original price, since it's a 90% discount. A simple way to solve the problem would've been to just divide the price by 0.1 (10%), because that's what remains after you discount 90% of the price.
-------------------------------------------------------------------------------------------
A different example would be the following:
What was the original price of a product bought for $48 if it has a 60% discount?
x is original price.
Since a 60% discount was applied, 40% of the price remains at full price. Therefore, we multiply the original price (x) by 40%:
x ⋅ 40%= $48
x= $48 / 40%
x= $48 / 0.4
x= 120
$120 was the original price.
HELP ME please. i dont understand this.
Answer:
Step-by-step explanation:
Perimeter add all the sides.
so let's walk around and combine like terms:
starting on the bottom moving to the left.
3x^2 + x^2= 4x^2 (there are no other squared terms)
back to the bottom moving left again:
-11x-3x+3x+x = -10x (-3x + 3x =0)
so -11x + x = -10x
now add all of the constants
-1 + 2 = 1
so your answer is
4x^2 -10x + 1
This table represents the gallons of water, g, left in a hot tub after draining it for m minutes.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
Drag and drop the slope and y-intercept into the corresponding boxes.
available options are -32, 15,32,480
Answer:
The answer is slope: -32 y-intercept:480
Step-by-step explanation:
I took the test
Answer: slope -32 y-intercept 480
Step-by-step explanation:
Took the k12 test
write 4y-3x=2 in slope intercept form
Answer:
y = \(\frac{3}{4}\) x + \(\frac{1}{2}\)
Step-by-step explanation:
The equation y=mx+b is in form
Answer:
slope intercept form
Step-by-step explanation:
Answer:
Slope intercept form
m - slope
b - y intercept
ethan buys vidio games for 39.99 sale on 20% how much ethan payed
The amount that Ethan pays for the video game is 47.988.
How to calculate the value?From the information illustrated, it should be noted that it was stated that Ethan buys video games for 39.99 sale on 20% tax.
In this case, the amount that he will pay will be:
= Original amount + Tax
= 39.99 + (20% × 39.99)
= 39.99 + 7.998
= 47.988
The amount is 47.988.
Learn more about percentages on;
brainly.com/question/24877689
#SPJ1
Complete question
Ethan buys vidio games for 39.99 sale on 20% tax how much ethan payed
To hire an accountant to prepare taxes costs a flat fee and an additional hourly rate. The amount the accountant costs can be modeled by the function A(x) = 130 + 15x, where x represents the number of hours the accountant works to prepare the taxes and 130 represents the flat fee. What is the value of A(190) and its interpretation?
A(190) = 4; If the accountant takes 190 hours to prepare the taxes, the cost will be $4.
A(190) = 2980; If the accountant takes 190 hours to prepare the taxes, the cost will be $2,980.
A(190) = 4; If the account takes 4 hours to prepare the taxes, the cost will be $190.
A(190) = 2980; If the accountant takes 2980 hours to prepare the taxes, the cost will be $190.
The value of A(190) and its interpretation is: B. A(190) = 2980; If the accountant takes 190 hours to prepare the taxes, the cost will be $2,980.
CostGiven function:
A(x) = 130 + 15x
Let x represent the number of hours
Let the flat fee be 130
Let plug in 190 into the function as this will enable to determine the value of A(1900 and it interpretation.
Hence,
A(x) = 130 + 15x
A(x) = 130 + 15(190)
A(x) = 130 + 2,850
A(x) = 2,980
Therefore the value of A(190) and its interpretation is: B. A(190) = 2980; If the accountant takes 190 hours to prepare the taxes, the cost will be $2,980.
Learn more about cost function here: https://brainly.com/question/25638609
#SPJ1
Answer:
(B) A(190) = 2980; If the accountant takes 190 hours to prepare the taxes, the cost will be $2,980.
Step-by-step explanation:
Got it right on my quiz
Match each drawing on the left with its geometric notation on the right. Some of the answer choices on the right may not be used.
Answer:
Please attach a photo to this so I can better answer your question
0.55a - a
I don’t understand how this comes out to -0.45a. Can someone explain?
Step-by-step explanation:
please give me brainlest
Answer:
- 0.45a
Step-by-step explanation:
0.55a - a
O.55 - 1 = - 0.45
= - 0.45a
Which statement are true regarding undefinable terms in geometry
Answer: A plane has two dimensions because it is a flat surface that has length and width but no depth.
Answer:
Surface answer
Step-by-step explanation:
Because the surface has a length and width and does not have a depth
Solve for y. answer to the nearest tenth & solve for x. NEED HELP WITH BOTH THESE QUESTIONS !!
Answers:
5. x = 1
6. y = 11.5
Step-by-step explanation:
For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:
AC * CD = BC * CE
You can substitute the values you are given to get:
2 * 4 = x * 8
This gives you x = 1
For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:
GH * GJ = GI * GK
Using segment addition postulate, you get:
GJ = GH + HJ = 5 + 16 = 21
GK = GI + IK = 6 + y --> y + 6
Now, substitute into the equation from power of a point:
5 * 21 = 6 * (y + 6)
105 = 6 * (y + 6)
17.5 = y + 6
y = 11.5
What type of relationship has his teacher discovered?
Answer: positive correlation likely causal
Step-by-step explanation:
please help me i’ll appreciate it more then anything
Answer the questions about parallelograms
The diagrams given above that represents a parallelogram is indicated by Yes in the following numbers:
1.). yes 5.) No. 9.) No
2.).yes 6.) No
3.) yes 7.) No
4.) yes 8.) yes
What is a parallelogram?A parallelogram is defined as the type of quadrilateral that has four sides and has the following unique properties and characteristics such as follows:
The diagonals of a parallelogram bisects each other.Opposite sides of a parallelogram are congruent.Opposite angles of a parallelogram are congruent.Each diagonal bisects the parallelogram into two congruent triangles.Therefore, in conclusion, the diagram that exhibit the properties of a parallelogram are numbers, 1,2,3,4 and 8 while the rest are not parallelograms.
Learn more about parallelogram here:
https://brainly.com/question/30304198
#SPJ1
a recipe for 30 cookies calls for 4 tablespoons of sugar. If you make 40 cookies and use 5 tablespoons of sugar, will the cookies taste the same? HELP ASAP WILL MARK BRAINLISET IF CORRECT
HELP!!! NEED ANSWER IN 5 MINUTES A store owner asks each person to write "Yes" or "No" on a slip of paper as they leave, secretly writing down whether they were happy with their experience. At the end of the day, the owner selects 16 slips at random and looks at them.
Answer:
\(\sf \dfrac{1}{2}\)
Step-by-step explanation:
Results from the slips of paper:
yes = 8no = 8Total slips of paper = 16
\(\sf Proportion = \dfrac{part}{whole}\)
\(\implies \textsf{Proportion of shoppers who were happy}=\sf \dfrac{8}{16}=\dfrac{1}{2}\)
Answer:
1/2
Step-by-step explanation:
There are 16 responses
There are 8 people who said yes
P( happy) = yes/ total
P(happy) = 8/16 = 1/2