[tex] \sf \underline{ \red{Solution - }} \\ [/tex]
Given,
[tex] \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} }} \\ [/tex]
The denominator is √11 - √5.
We know that
Rationalising factor of √a-√b is √a+√b.
Therefore, the rationalising factor of √11-√5 is √11+√5.
On rationalising the denominator them
[tex] \longrightarrow \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} \times \dfrac{(\sqrt{11} + \sqrt{5})}{(\sqrt{11} + \sqrt{5})} }} \\ [/tex]
Multiplying (√11 + √5) with both the numerator of the fraction.
[tex] \longrightarrow \sf{\quad { \dfrac{-7(\sqrt{11} + \sqrt{5}) }{(\sqrt{11} - \sqrt{5})(\sqrt{11} + \sqrt{5})} }} \\ [/tex]
Performing multiplication in the numerator and by using identity (a + b)(a - b) = a² - b², solving further in the denominator.
[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{(\sqrt{11})^2 - (\sqrt{5})^2} }} \\ [/tex]
Writing the squares of the numbers in the denominator.
[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{11 -5} }} \\ [/tex]
Performing subtraction in the denominator.
[tex] \longrightarrow \quad \underline{ \boxed{ \dfrac{ \textbf{ \textsf{-7 }}\sqrt{ \textbf{ \textsf{11 }}} - \textbf{ \textsf{7}}\sqrt{ \textbf{ \textsf{5 }}}}{ \textbf{ \textsf{ 6}}}} } \\ [/tex]
Hence, the denominator is rationalised.
The expression - 250 + 16z represents a submarine that began at a depth of 250 feet below sea level
and ascended at a rate of 16 feet per minute. What was the depth of the submarine after 9 minutes?
I am confused if someone could explain this it would be greatly appreciated
Can someone help me with number 5 :((
17 + 16s = -16 + 19s
Solve for s
Answer:
s is equal to 11
Hope this helps
Answer:
s=11
Step-by-step explanation:
17 + 16s= - 16 + 19s
resta 19s en los dos lados
17+ 16s – 19= -16
combina 16s y 19s para obtener -3s
17 – 3s = -16
reta 17 de -16 para obtener -33
-3 =
divide -33 entre -3 para obtener 11
s=11
mr. tyler has a total of $5,000 in savings account and in a mutual fund. If he has x dollars in the savings account, how much dollars does he have in the mutusl fund?
Mr. Tyler has $(5000 - x) in the mutual fund, where is amount in the saving account.
If Mr. Tyler has $5,000 in total, and x dollars in the savings account.
The amount he has in the mutual fund can be calculated by subtracting the amount in the savings account from the total amount.
Amount in the mutual fund = Total amount - Amount in the savings account
Here, Total amount = $5000 and Amount in the savings account = x
Substituting the values back to the formula as
Amount in the mutual fund = $5,000 - x
So, Mr. Tyler has $(5000 - x) in the mutual fund.
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What is the x and y intercept of 2.5x+8y=240 please show your work.
Answer:
The x and y intercept are (96,30)
Step-by-step explanation:
8y=240-2.5x
y=240/8-2.5x/8
y=30-0.3125x
The y intercept=30
The x intercept=96 thus 30=0.3125x,x=30/0.3125
which is colder -3°c or -2°c
Answer:
-2 is colder
Step-by-step explanation:
Becuase when you get to the negative the Closest number to 0 is greater which means -2 is closer to 0 which makes it colder.
(Hope this helps can I pls have brainlist (crown)☺️)
CAN SOMEONE HELP ME ASAP: Write 0.0000000642 in scientific notation.
Answer:
6.42 × 10-8.
Step-by-step explanation:
vububTodyksyk
Answer:
6.42 x [tex]10^{-8}[/tex]
Step-by-step explanation:
0.0000000642 in scientific notation = 6.42 x [tex]10^{-8}[/tex]
Dalawang batong itim
Sa tabi mo.
[tex] \: \: [/tex]
Step-by-step explanation:
I havenot understand queation
9. The repair order is a legal document because
People say it’s B or C, which one is correct.
Correct gets brainliest!!!
Answer:
C is the correct answer cos it is paid by the customer
After a 25% discount the price of a T shirt was $12 what was the price before the discount?
Answer:The price before the discount is $ 16The population last year is 5280Solution:B) After a 25% discount, the price of a T-shirt was $12.
Step-by-step explanation:G
Answer:
$16
Step-by-step explanation:
25% is equal to 1/4.
1/4 of 16 is 4.
so if you subtract 4 from 16, it equals 12.
have a lovely day <3
guys pls help me!!!!!!
Answer:
X would also be 59° due to the Corresponding property.
can somebody please just help me do not answer if you do not know
Answer:
it could be 34 , 34 and 82
or 34 , 73 and 37
Step-by-step explanation:
angles in a triangle add up to 180. in and isosceles triangle two angles are always the same so there will be 2 possible outcomes.
pls mark brainalist
The US dollar can be exchanged for other types of currency in the world the exchange rate is always changing suppose one eruro is equivalent to two dollars
HELP DUE TODAY! PLS HELPP
1. 2. 5. 10. Euro
2. ? ? ? US dollars
Answer:
$2, $4, $10, $20
Step-by-step explanation:
1*2=2
2*2=4
5*2=10
10*2=20
Will give 5 points for answer
Answer:
1and 3 are not a function 2 and 4 are a function 6 not enough
Step-by-step explanation:
8h-2>3h+2
solve for h
Answer:
h >4/5
Step-by-step explanation:
8h-2>3h+2
Subtract 3h from each side
8h-3h-2>3h-3h+2
5h-2> 2
Add 2 to each side
5h-2+2> 2+2
5h >4
Divide by 5
5h/5 >4/5
h >4/5
Answer:
H can be any number larger than 4/5, i'm pretty sure
Step-by-step explanation:
8h-2>3h+2
8h-3h>2+2
5h>4
h>4/5
Brainlest Evaluate (-2-2-1/2)³
Answer:
[tex]\sf\longmapsto \: \frac{ - 792}{8} [/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: (−4− \frac{1}{2} ) {}^{3} [/tex]
[tex]\sf\longmapsto \: (− \frac{9}{2} ) {}^{3} [/tex]
[tex]\sf\longmapsto \: \frac{ - 729}{8} [/tex]
[tex]\sf\longmapsto \: Decimal: -91.125[/tex]
If A : B = 5 : 8 and B : C = 4: 3, A : B : C =??
Answer:
A:B:C = 5:8:6
Step-by-step explanation:
You don't have to change A, you only have to change B and C in the second ratio given. First, B is 8 and secondly, B is 4. You can multiply 4 in the second ratio and make it 8, but, remember, always do the same change to the other side too. So, if you change the 4 to 8 by multiplying by 2, multiply 3, which is C, by 2 too. Then, you get B:C as 8:6. Lastly, you get the final answer as 5:8:6.
Help please guys is this right?
Answer: Correct, are you dragging the line across?
Help please thank you!
THANK YOU TO WHOEVER DOES THIS <3
Answer:
2436 cubic centimeters
Step-by-step explanation:
11 * 14 = 154
14 * 7 / 2 = 49
154 + 49 = 203
203 * 12 = 2436
plz help me help me help me
Answer:
Step-by-step explanation: 16 is for the apple juice for when the orange juice is 8 since orange juice is half of the apple juice. For the last one the apple juice is 32 and the orange juice is 16
Lucía makes braided key chains out of cotton cord. For every 8 feet of cotton cord she has, she can make 3 braided key chains. PART A Use a model to represent the relationship between the feet of cotton cord and the number of key chains. PART B Use the model to explain how to find the number of feet of cotton cord Lucia needs to make 5 key chains.
Lucía needs 13.33 feet of cotton.
Since Lucía makes braided key chains out of cotton cord, and for every 8 feet of cotton cord she has, she can make 3 braided key chains, to represent the relationship between the feet of cotton cord and the number of key chains and find the number of feet of cotton cord Lucia needs to make 5 key chains, the following calculations must be performed, through a cross multiplication:
8CC = 3KC 3 = 8 5 = X 5 x 8/3 = X 40/3 = X 13.33 = X
Therefore, Lucía needs 13.33 feet of cotton.
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What is the iterative rule for the following sequence?
4, 4/5, 4/25, 4/125, ...
A.) an=4•(1/5)^n-1
B.) an=4•(1/5)^n
C.) an=1/5•4^n-1
D.) an=1/5•4^n
Answer:
A.) 4 * (1/5)^(n-1)
Step-by-step explanation:
a1 = 4 * (1/5)^(1-1) = 4* (1/5)^0 = 4*1 = 4
a2 = 4 * (1/5)^(2-1) = 4 * (1/5)^1 = 4 * 1/5 = 4/5
a3 = 4 * (1/5)^(3-1) = 4 * (1/5)^2 = 4 * 1/25 = 4/25
a4 = 4 * (1/5)^(4-1) = 4 * (1/5)^3 = 4 * 1/125 = 4/125
a5 = 4 * (1/5)^(5-1) = 4 * (1/5)^4 = 4 * 1/625 = 4/625
. . .
The required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.
Given sequence,
4, 4/5, 4/25, 4/125, ...
Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
The given sequence is 4, 4/5, 4/25, 4/125, ...
Common ratio among the proceeding terms,
r = 4/5/4
r = 1/5
The required general term can be described as [tex]a_n=4*(1/5)^{n-1}[/tex].
Thus, the required iterative rule for the following sequence is [tex]a_n=4*(1/5)^{n-1}[/tex]. Option A is correct.
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write 47% as a fraction is simplest form.
Answer:
47/100
Step-by-step explanation:
47 = 0.47 = 47/100
The sum of the real numbers x and y is 11. Their difference is 5. What is the value of xy?
Answer:8
Step-by-step explanation:
Answer:
xy=24
Step-by-step explanation:
x+y=11
x-y=5
x=y+5
y+5+y=11
2y=6
y=3
x=8
xy=24
the average age of teacher at school is 36 years.mr Smith age is 11/9 of the average. how old is Mr Smith?
Answer: 44
Step-by-step explanation:
I'm positive this is right! Have a good day! Hope this helps! Please give brainliest, i would help a lot if you did, but its fine if you don't Just have a good rest of the day!
4 cm
15 cm
-
Find volume
Answer:
The answer is 753.98224.
V=πr^2h, so v=pie4^2*15
Therefore, V=πr2h=π·42·15=753.98224
Step-by-step explanation:
The volume = [tex](\frac{22}{7} )(4^{2} )(15)[/tex]
= 754.285714
please give me a brainliest answer
What is the equation of a line that passes through the point (8, -2) and is parallel to the line whose equation is 3x + 4y = 15?
Answer:
y = -3/4x + 4 or 3x + 4y = 16
Step-by-step explanation:
Step 1
Find the slope of the given line
we have
3x + 4y = 15
Isolate the variable y
Subtract 3x from both sides
3x + 4y -3x = 15-3x
Divide by 4 both sides
y = -3/4x + 15/4
the slope of the given line is
m = -3/4
Step 2
Find the equation of the line that passes through the point and is parallel to the given line
we know that
if two lines are parallel, then their slopes are equal
The equation of the line into point-slope form is equal to
y - y₁ = m(x-x₁)
we have
m= -3/4
(x1,y1) = (8,-2)
substitute in the equation
y + 2= -3/4(x-8)
y = -3/4x + 6 - 2
y = -3/4x + 4 or 3x + 4y = 16
therefore
the answer is
y = -3/4x + 4
or
3x + 4y = 16
A water tank has two valves, one for inlet pipe and the other is outlet pipe. If the tank is empty the inlet valve is
opened, the tank will be full of water after 5 hours. If the tank is full and the outlet valved is opened, the tank
will be emptied in 8 hours. Suppose the tank is empty and both valves are opened, in how many hours will the
tank be full?
Let V be the volume of the tank. The inlet pipe fills the tank at a rate of
V / (5 hours) = 0.2V / hour
and the outlet pipe drains it at a rate of
V / (8 hours) = 0.125V / hour
With both valves open, the net rate of water entering the tank is
(0.2V - 0.125V ) / hour = 0.075V / hour
If t is the time it takes for the tank to be full, then
(0.075V ) / hour • t = V
Solve for t :
t = V / ((0.075V ) / hour)
t = 1/0.075 hour
t ≈ 13.333 hours