Answer:
Step-by-step explanation:
take lcm of (2x-1)(x+2)
lcm=(2x-1)(x+2)
=2(x+2)-1(2x-1)/(2x-1)(x+2)
=(2x+4)-(2x-1)/(2x(x+2)-1(x+2)
=2x+4-2x+1/2x^2+4x-x+2
=4+1/2x^2+3x+3
=5/2x^2+3x+3
Help please!!
Jayson gets a loan from his parents with no interest L represents the remaining amount Jayson owes his parents on his loan t months. L=-250t+7000 how much did Jayson borrow from his parents?
Answer:
7000
Step-by-step explanation:
Given the equation :
L=-250t+7000
L = amount owed after t months of repayment.
From the equation given, we could deduce that it is a linear equation of the form :
y = bx + c
Where, b = - 250 is the slope = fixed amount paid per month and it's negative because the amount owed will reduce with each payment made.
c = intercept, which is the value of L when t = 0
This will give amount borrowed :
L=-250t+7000
At t = 0
L = - 250(0) + 7000
L = 7000
please helpp due soon!! 10 points :)
Answer:
[tex]2.3\:\mathrm{in^3},\\1.3\:\mathrm{fl\:oz}[/tex]
Step-by-step explanation:
The volume of a cone with radius [tex]r[/tex] and height [tex]h[/tex] is equal to [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex].
What we're given:
Since radius is half the diameter, [tex]r[/tex] is [tex]1.1[/tex] Height of [tex]1.8[/tex]Substituting given values, we get:
[tex]V=\frac{1}{3}\cdot 1.1^2\pi \cdot 1.8=0.726\pi\approx \boxed{2.3\:\mathrm{in^3}}[/tex]
Convert to fluid ounces using the conversion given in the question:
[tex]0.726\pi}\cdot \frac{0.554}{1}\approx \boxed{{1.3\:\mathrm{fl\:oz.}}}[/tex]
(5m-2n) (25m^2 + 10mn + 4n^2)
Answer:
ANSWER
[tex](5m - 2n)(25 {m}^{2} + 10mn + 4 {n}^{2}) [/tex]
[tex]5m(2 {m}^{2} + 10mn + 4 {n}^{2} ) - 2n(25 {m}^{2} + 10mn + 4 {n}^{2} )[/tex]
[tex]10 {m}^{3} + 50 {m}^{2}n + 20m {n}^{2} - \\ 50 {m}^{2} n - 20m {n}^{2} - 8 {n}^{3} [/tex]
[tex]10 {m}^{3} - 8 {n}^{3} (ans)[/tex]
HOPE IT HELPS
Please look at the image
Answer:
3=1+2 because An exterior angle of a triangle is equal to the sum of the opposite interior angles
when 2=1
we can also write it as
3=1+1
3=21(this means twice of angle 1)
Show that triangle FUN is isosceles.
an isosceles triangle is a triangle that has two sides of equal length
FU = 7 units
UN = 5 units
FN = 7 units
FU = FN
FU ≠ UN
FN ≠ UN
FUN is an isosceles triangle.
help anyone?? need to get this done
Answer:
The statue is 10cm tall in Kia's drawing.
Step-by-step explanation:
We know the statue is 80ft tall, as Bob's drawing was 1cm to 5ft and his drawing was 16cm tall. 16 x 5 = 80ft.
Because the new scale is 1cm to 8ft, you divide the 80ft tall statue with 8, and that leaves you with a 10cm tall replica statue.
Answer:
10 cm
Step-by-step explanation:
459, 450, 441, ...
Find the 38th term.
Answer:
I am pretty sure it is 351
what is 4 5/6 +2 1/2 simplify
Answer:
7 1/3
Step-by-step explanation:
Please help !!!! ASAP
Answer:
Solution given:
length of arc LM={angle}/360*2*π*r
=here π=180 for angle and π for length
=(3π/4)/360*2*π *6
=(3*180/4)/360*2*π*6
=9/2π
option C
9/2π is a required answer.
A baseball card was worth $120. Each year for x years, the card’s value, y, in dollars, decreased by $10. The owner sold the card after 5 years.
The value of the card can be modeled using a linear function. What is the domain of the function?
The value of the card can be modeled using a linear function. The domain of the function is 5.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
A baseball card was worth $120.
Each year for x years, the card’s value, y, in dollars, decreased by $10. The owner sold the card after 5 years.
y = $120 - $10(5)
y = $150
domain = x or 5
Learn more about linear equations;
https://brainly.com/question/27056029
#SPJ2
The Really Spicy Hot Sauce Company decides to make a special-edition, extra-spicy version of its Really Spicy Hot Sauce. Expected demand for the special-edition version of their hot sauce is estimated to be 5000, normally distributed with a standard deviation of 1200. It will cost $2.50 to make each bottle; the bottles are intended to sell for $20. Whatever doesn't sell will be given to employees as a gift, thus earning $0 in revenue. Because it takes 3 years for the hot sauce to fully ferment and mature, the Really Spicy Hot Sauce Company can only make one batch of the special-edition hot sauce. How many bottles should the company make in order to maximize their expected profit? ______________
the three points A(0,0,0), B(2,-3,3) C(-2,3,-3) are collinear. find in what ratio each point divides the segment joining the other two.
Answer:
pls provide diagram
it will hep
How do you find the are of the diameter
A man borrows $500 and agrees to repay $750 at the end of 4 years. What is the rate of simple interest charged?
Answer:
The rate of simple interest is 0.125, or 12.5%.
Step-by-step explanation:
If the man must repay $750 after 4 years on a $500 loan, the simple interest would be ($750-$500), or $250.
The simple interest formula is i = p*r*t. Solving this for the interest rate, r, yields
i
r = ----------
p*t
and so, with i = $250, p = $500 and t = 4 yr, we find r as follows:
$250
r = ----------------- = 0.125
$500*4
The rate of simple interest is 0.125, or 12.5%.
What is the cost of 2 kilograms of flour if 3 kilograms cost $4.86 and the unit price for each package of flour is the same?
Answer: Your answer is on the bottom of the photo I used an online note table
Step-by-step explanation:
Answer:
I think the answer is $3.24.
Step-by-step explanation:
4.86 / 3 = 1.62
$1.62 is equal to how much 1 kilogram of flour would cost.
1.62 x 2 = 3.24
Hope this helped.
Find the sum of the first 10 terms of the sequence -8, -2, 4, 10, ...
Answer:
Step-by-step explanation:
Colin knows his book is 1 foot long. He uses his book to help him estimate the length of his bike.
I want to help you but ... What's the question?
4 1/2 plus 1 3/5 equal
Answer:
6 1/10
Step-by-step explanation:
If f(x) = 3x + 3, then f^-1 (x)=
Hello,
[tex]f(x)=3x+3 \Longleftrightarrow y=3x+3\\\\x=3*y+3 \Longleftrightarrow y=\dfrac{x-3}{3} \\\\\boxed{f^{-1}(x)=\dfrac{x-3}{3}}[/tex]
Which expression is equivalent to 16 - 4x^2?
Answer:
4(2 - x)(2 + x)
Step-by-step explanation:
16 - 4x² ← factor out 4 from each term
= 4(4 - x²) ← difference of 2 squares
= 4(2 - x)(2 + x) ← in factored form
Latoya received a $30.25 gift card for a photo center. She used it to buy prints that cost 5 cents each. The remaining balance, B in dollars), on the card after buying x prints is given by the following. B = 30.25 -0.05x What is the remaining balance on the card if Latoya bought 20 prints?
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
Answer:
a + b = 54
a + 9 = 54
Use inverse operations to solve
Step-by-step explanation:
2. The Vasco da Gama Bridge in Lisbon, Portugal, includes a trapezoid as part of
its structure (pictured above). The bridge's roadway goes through the median of
the trapezoid. If the bases of the trapezoid measure 22 m and 38 m, what is the
approximate width of the bridge's roadway? Explain how you got your answer.
Answer:
30 m
Step-by-step explanation:
Midsegment of a Trapezoid
[tex]\frac{(Base_{1}) +( Base_{2}) }{2}[/tex]
[tex]\frac{12 + 38}{2}[/tex]
[tex]\frac{60}{2}[/tex]
30
Average of the top and bottom = the middle
Is the answer a b or c
Answer:
Step-by-step explanation: A
Answer:
B
Step-by-step explanation:
10 to 4
4 divided by 2 = 2, 2 x 5 = 10
15 to 6
6 divided by 2 = 3, 3 x 5 = 15
35 to 14
14 divided by 2 = 7, 7 x 5 = 35
Cone 1 is congruent to cone 2 with dimensions given in units as shown below
What is the surface area of cone 2 ?
Please help !! ASAP giving 30 points too correct answer choice
Surface area of cone2 is equals to 96π.
What is surface area?
"Surface area is defined as the sum of the area of all the faces of given three dimensional shape."
Formula used
Surface area of the cone = πr² + πr l
According to the question,
Given,
'r' represents the radius of the cone
'h' represents the height of the cone
'l' represents the slant height of the cone
Cone1 and Cone2 are congruent cones.
⇒Radius of cone1 = Radius of cone2
Slant height of cone1 = Slant height of cone2
As per the given dimensions we get,
Radius of both the cones 'r' = 6units
Slant height of both the cones 'l' = 10units
Substitute the values in the formula we get,
Surface area of the cone2 = π (6)² + π (6) (10)
= 36π +60π
= 96π square units
Hence, surface area of cone2 is equals to 96π.
Learn more about surface area here
https://brainly.com/question/2835293
#SPJ2
What is the longest math problem in the world?
PLZ ANSWER FAST!
An apple is launched directly upward at 64 feet per second from an 80-foot tall platform. The equation for this apple’s height, h, at time t seconds after launch is h = -16t2 + 64t + 80.
a. Find the maximum height of the apple.
b. How many seconds will it take for the apple to reach the ground
Answer:
144 feet
5 seconds
Step-by-step explanation:
a.
we want the maximum (or the vertex)
-64/-32= 2
-16*2²+64*2+80=144
b.
Here we want the point in which the y=0
In other words, we want the x-intercept
-16x²+64x+80= -16(x-5)(x+1)
so we have
(5,0) and (-1,0)
reject the negative answer to get 5 seconds
A) the maximum height of the apple is 144 feet. B) it will take 1 second for the apple to reach the ground.
How to determine How many seconds will it take for the apple to reach the ground
a. To find the maximum height of the apple, we need to determine the vertex of the parabolic equation. The vertex represents the maximum point of the parabola.
The equation for the height of the apple is given as h = -16t^2 + 64t + 80.
To find the t-value at the vertex, we can use the formula t = -b / (2a), where a, b, and c are the coefficients in the equation.
In this case, a = -16 and b = 64. Substituting these values into the formula:
t = -64 / (2 * -16)
t = -64 / -32
t = 2
So, the apple reaches its maximum height at t = 2 seconds.
To find the maximum height (h), we substitute the value of t = 2 into the equation:
h = -16(2)^2 + 64(2) + 80
h = -64 + 128 + 80
h = 144
Therefore, the maximum height of the apple is 144 feet.
b. To find the time it takes for the apple to reach the ground, we set h = 0 in the equation and solve for t:
0 = -16t^2 + 64t + 80
We can factor this equation or use the quadratic formula. Let's use the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = -16, b = 64, and c = 80. Substituting these values:
t = (-64 ± √(64^2 - 4(-16)(80))) / (2(-16))
t = (-64 ± √(4096 + 5120)) / (-32)
t = (-64 ± √9216) / (-32)
t = (-64 ± 96) / (-32)
We have two possible solutions:
t1 = (-64 + 96) / (-32) = 1
t2 = (-64 - 96) / (-32) = 5
Since the apple was launched upward, we consider the positive solution t1 = 1.
Therefore, it will take 1 second for the apple to reach the ground.
Learn more about height at https://brainly.com/question/73194
#SPJ2
From $16 to $4
Percent decrease
Answer:
75%
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
The difference is $12 so let's calculate the percent of 12 to 16:
12/16 = 0.75 = 75%
Given that tanx=-3/4 find sinx and cos x
HOPE IT HELPS MUCH
[tex]{{clickphoto2see}}the \: arnswer}}[/tex]
Solve: y = 2x. y = -x+3. Write the coordinates (__, __)
Answer:
(1,2)
Step-by-step explanation:
y = 2x. y = -x+3
Set the two equations equal
2x = -x+3
Add x to each side
2x+x = -x+x+3
3x = 3
Divide by 3
3x/3 = 3/3
x = 1
Now find y
y =2x = 2(1) = 2
(1,2)
Solve like how you solve the system of equations. System of Equations are to find the intercept of both graphs or to find which coordinate points are solution to both equations.
We are given the equations below:
[tex] \large{ \begin{cases} y = 2x \\ y = - x + 3 \end{cases}}[/tex]
Since both equations are y-isolated and we want to find the coordinate point that both equations have or the coordinate point that is a part of two equations.
[tex] \large{2 x = - x + 3}[/tex]
Isolate the x-term by adding both sides by x.
[tex] \large{2x + x = - x + 3 + x} \\ \large{3x = 3}[/tex]
Divide both sides by 3 so we can finally get the x-isolated equation.
[tex] \large{ \frac{3x}{3} = \frac{3}{3} \longrightarrow x = 1 }[/tex]
Next step is to find the value of y. x-term and y-term both have relations. That means when substituting x-term, we get y-term. Therefore, substitute x = 1 in any given equations. It is not necessary to substitute both, only one is fine. I will choose the first equation to solve for y-value.
[tex] \large{y = 2x}[/tex]
Substitute x = 1:
[tex] \large{y = 2(1) \longrightarrow y = 2}[/tex]
The value of y is 2 when x is 1. Since we want the answer to be in coordinate form or ordered pair. From (x,y) - we get (1,2).
Answer
(1,2) is the solution.I hope this helps! Let me know if you have any questions or doubts. Do not hestitate to ask if you've got a question. Good luck on your assignment and have a great day!