Answer:
[tex] \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]
Step-by-step explanation:
[tex] \frac{7n}{n + 1} + \frac{8}{n - 7} \\ \\ = \frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 1)} \\ \\ = \frac{7 {n}^{2} - 49n + 8n + 8 }{ {n}^{2} - 1 } \\ \\ = \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]
Answer:
Simplified:
[tex]\frac{7n}{n + 1} + \frac{8}{n - 7}[/tex] =[tex]\frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 7)}[/tex] =[tex]\frac{7n^2 - 49n + 8n + 8}{n^2 + n - 7n - 7}[/tex] =[tex]\frac{7n^2 - 41n + 8}{n^2 - 6n - 7}[/tex]This can be further simplified if required
[tex]\frac{7n^2 - 42n -49 + n + 57}{n^2 - 6n - 7}[/tex] =[tex]7 + \frac{n + 57}{n^2 - 6n - 7}[/tex]3. A kite is aloft at the end of a 1500 foot string. The string make an angle of 43° with the
ground. How far above the ground is the kite?
Do not calculate! Please provide your answer in calculator ready form. For example: h -
237cos(3129)
Answer:
[tex]h= 1500\,*\,sin(43^o)[/tex]
Step-by-step explanation:
Notice that there is a right angle triangle formed with sides as follows:
hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:
[tex]sin(43^o) = \frac{opposite}{hypotenuse} \\sin(43^o) = \frac{opposite}{1500}\\opposite = 1500\,*\,sin(43^o)\\h= 1500\,*\,sin(43^o)[/tex]
what is the answer to this question?
Answer:
your answer will be option B
you are right
Step-by-step explanation:
have a nice day!!
At a middle school, 46 students have blonde hair. There are 230 students in the school. What percent of the students have blonde hair?
Answer:
20% of the students have blonde hair
Answer:
20%
Step-by-step explanation:
find the measures of 1 and 2
Answer:
1 ) ∠1 = 105 ∠2 = 75
2) ∠1 = 50 ∠2 = 50
Step-by-step explanation:
Our traits are determined by our genes and these traits are inherited. Where do our genes come from?
A)
our father
B)
our mother
from both parents equally
D)
part from our mother but mostly from our father
Science
Plzzzzzzz help me ASAP
Two boats sail from A. One boat sails to B, and the other boat sails to C.
BAC = 115c
The bearing of B from A is 200c.
Find the bearing of A from C.
Answer:
265°
Step-by-step explanation:
I think we have to minus 200 - 115 = 85
then plus them with 85 and 95 so
85 + 85+ 95 = 265°C
i hope this helps a little bit
A bag contains 2 5/8 pounds of candy. If the candy is equally distributed to point
seven children, how many pounds will each child get?"
3/7
3/8
3/9
3/10
Let f(x)=18/1+3^e-0.1x What is the point of maximum growth rate for the logistic function f(x)? Show all work. Round your answer to the nearest hundredth
Answer:
(0, 4.5)
Step-by-step explanation:
*The equation can be put into Desmos, to find the point, but the work to prove it is here*
f(x)=c/1+Ae^-Bx
Y=C
C=18 A=3 -B=-0.1
*Replace x with 0 in the equation, so you know 0 is the x value, and it leads you to the y value*
f(0)=18/1+3e^-o.1(0)
= 18/1+3e^0
=18/1+3(1)
=18/1+3
=18/4
=4.5
x=0 y=4.5
Maximum growth rate = (x,y) --> (0, 4.5)
Hope this helps:))!!
A weather station on the top of a mountain reports that the temperature is currently 0 and has been falling at a constant rate of 3 degrees per hour. Find each temperature. What was the temperature: 1 hour ago? degrees 3 hours ago? degrees
Answer:
Because I SAVAGE
GK IT"S WRONG AHAHHAHHAHA
What is the volume of this container?
20 cm
2,125 cm3
5 cm
5 cm
2,000 cm3
5 cm
20 cm
15 cm
125 cm3
1,875 cm3
Answer:
the answer is C).1875 cm
Step-by-step explanation:
hope it helps bye!!
There are 20 students in the drama club. Next year, 5 students will leave the drama club and some students will join. If d is the number of students who will join the drama clibz write an expression to represent the total number of students in the drama club next year.
The expression showing the number of students in the drama club the next year is 15+d.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, there are 20 students in a drama club,
5 of them will leave in next year, and d students will join,
We are asked to construct an expression to represent the total number of students in the drama club next year.
So, the present number of students in the club = 20
After next year = 20-5 = 15
After the joining = 15+d
Hence the expression showing the number of students in the drama club the next year is 15+d.
Learn more about expression, click;
https://brainly.com/question/14083225
#SPJ2
Is 5 a solution to 4 + x = 6 ? Why or why not?
Answer:
no
Step-by-step explanation:
x has to be 2 because 4+2=6
Answer:
no, because 4 + 5 = 9 not 6.
Step-by-step explanation:
the only way for this equation to be true is if x = 2.
Heather bought a CD on sale for $11
and a book for $14. The sales tax rate
is 5%. How much tax did she pay for
both items?
Answer:
Heather paid $26.25 for both items
In the orthonormal system (O; i⃗,j⃗) below, consider point A(3, −1), vector v⃗(2,1), and
straight line (d).
Let (d’) be the line of equation y = −2x + 5.
1. Show that A belongs to (d’).
2. Draw the straight line (d’).
3. Write a Cartesian equation of line (d).
4. What is the relative position of the lines (d)
and (d’)? Justify your answer.
5. Write the reduced equation of the straight
line(D) defined by (A, ⃗v⃗).
6. Deduce that the two lines (D) and (d) are
perpendicular.
7. Determine the coordinates of the point of
intersection I of the two lines (d) and (D).
Answer:
Step-by-step explanation:
PLEASE HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP
Answer:
I think 40 visitors
Step-by-step explanation:
I am not 100% sure
Answer:
c. 50 visitors
Step-by-step explanation:
you can see that hiking is 1/4th of the circle
because it is a right angle
Will give Branlilyest In a lilac paint mixture, 40% of the mixture is white paint, 20% is blue, and the rest is red. There are 4 cups of blue paint used in a batch of lilac paint.
how many cups of white paint there are ?
how many cups of red paint there are?
how many cups in total?
Answer:
8 cups of white paint
8 cups of red paint
20 cups in total
Step-by-step explanation:
Pls help u get brain if u help me
Answer: 3.75 pounds
Step-by-step explanation:
12 smoothies needs 12 x 5 = 60 ounces of fruits
1 lb = 16oz
[tex]60oz(\frac{1lb}{16oz})\\= \frac{60oz*lb}{16oz}\\= 3.75 lb[/tex]
please help will mark brainliest
Answer:
16.5 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the other leg, then
x² + 13² = 21²
x² + 169 = 441 ( subtract 169 from both sides )
x² = 272 ( take the square root of both sides )
x = [tex]\sqrt{272}[/tex] ≈ 16.5 cm ( to the nearest tenth )
Find the simple interest and amount when principal = Rs. 6000, rate = 6% per annum and time = 4 years
Given:
Principal = Rs. 6000
Rate of simple interest = 6% per annum.
Time = 4 years
To find:
The simple interest and amount.
Solution:
Formula for simple interest:
[tex]I=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the rate of interest and t is the number of years.
Putting P=6000, r=6 and t=4, we get
[tex]I=\dfrac{6000\times 6\times 4}{100}[/tex]
[tex]I=60\times 6\times 4[/tex]
[tex]I=1440[/tex]
Now,
[tex]Amount=Principal+Interest[/tex]
[tex]Amount=6000+1440[/tex]
[tex]Amount=7440[/tex]
Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.
HELP
1. What is the solution to the equation 2(x - 10) + 4 = - 6x + 2?
A. -9/2
B. 1
C. 9/4
D. 5/2
Answer:
9/4
Step-by-step explanation:
2(x - 10) + 4 = -6x + 2
2x - 20 + 4 = -6x + 2
2x - 16 = -6x + 2
8x - 16 = 2
8x = 18
x = 18/8 or 9/4
Answer:
the answer is C
Step-by-step explanation:
2(x-10) +4 = -6x + 2
2x-20 +4= -6x +2
2x-16 = -6x+2
+16 = +16
______________
2x = -6x + 18
+6x = +6x +18
_____________
8x =18
x=2.25 or 9/4
have a nice day and I really hope it help
What is the volume of a prism with the hieght 8, base 4 and length 2?
Solve the equation for x, and enter your answer in the box below x/2=9
try multiplying both side of the equation by 2.
x/2*2=9*2
I think you can solve it yourself :)
Answer:
x=18
Step-by-step explanation:
Find the value of h(45) for the function below.
Answer:
I agree with her her explain and her solving
I have a big test coming up and i nedd help with this question please :)
Answer:
the answer is 7/10
Step-by-step explanation:
pls help w fractions math question
Answer:
2 5/6 is greater so Jenna read more
Step-by-step explanation:
Answer:
Antoine
Step-by-step explanation:
u see 8hrs divided by 1.25 hrs equals 6.4 Chapters and 6hrs/ 17/6 = 2.12 and that x3 = 6.36 as u can see 6.4 > 6.36 there u o have a good day bye please give brainliest im only 9 no cap
please help it will be helpful
Equivalent Ratio
9:36=
21:27=
48:72=
60:45=
10:70=
PLEASE HELP ME-Name the angles and sides of each pair of triangles that are congruent.
Answer:
Step-by-step explanation:
1) GH ≅ GH
HF ≅HL
GF ≅ GL
∠FGH =∠LGH
∠GHF = ∠GHL
∠GFH = ∠GLH
3) WX ≅ DC
XY ≅ CY
WY ≅ DY
∠WXY ≅∠DCY
∠XYW≅ ∠CYD
∠XWY ≅∠CDY
Find the value of x.
Answer:
[tex]x + 1 + x + 3 = 180[/tex]
by vertically opposite angle theorem
[tex]x + x + 1 + 3 = 180[/tex]
[tex]2x + 4 = 180[/tex]
[tex]2x = 180 - 4 = 176[/tex]
[tex]x = \frac{176}{2} [/tex]
[tex]x = 88[/tex]
have a nice day
Can someone please help me with math
Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds per week. Write an equation for total pounds, y, of aluminum cans after x weeks. How many pounds of cans will Rufus have after 6 weeks?