Answer:
2\sqrt2
Step-by-step explanation:
a=5-2√6 ...(1)
[tex]\frac{1}{a}=\frac{1}{5-2 \sqrt{6} } \times\frac{5+2\sqrt{6} }{5+2\sqrt{6} } =\frac{5+2\sqrt{6}}{(5-2\sqrt{6})(5+2\sqrt{6})} =\frac{5+2\sqrt{6}}{5 ^2-(2\sqrt{6})^2} =\frac{5+2\sqrt{6}}{25-24} =5+2\sqrt{6}\\a+\frac{1}{a}=5-2\sqrt{6}+5+2\sqrt{6}=10[/tex]
[tex](\sqrt{a}-\frac{1}{\sqrt{a}})^2=(\sqrt{a})^2+(\frac{1}{\sqrt{a}})^2-2 \times \sqrt{a} \times \frac{1}{\sqrt{a}}=a+\frac{1}{a}-2=10-2=8\\\sqrt{a}-\frac{1}{\sqrt{a}}=\sqrt{8}=2\sqrt{2}[/tex]
How much would $500 invested at 5% interest compounded continuously be worth after 4 years? Round your answer to the nearest cent
Answer:
$610.70
Step-by-step explanation:
[tex]a = pe^{rt}[/tex]
a = 500 [tex]e^{.05 * 4}[/tex]
a = $610.70
Which number line model represents the expression -2+(-7)
Answer:
B
Step-by-step explanation:
Start at zero.
Go 2 units left to -2.
Then go another 7 units left to add -7.
Answer: B
what is the solution to 4 1/5 x (1 1/9 x 3)
Answer:
14
Step-by-step explanation:
[tex]4 \frac{1}{5} \times (1 \frac{1}{9} \times 3) \\\\= \frac{21}{5} \times ( \frac{10}{9} \times 3)\\\\=\frac{21}{5} \times( \frac{10}{3})\\\\= \frac{21 \times 10}{ 5 \times 3}\\\\=7 \times 2 \\\\= 14[/tex]
The interior angle of a polygon is 3degrees greater than the exterior angle.find the sum of the angles of the polygon
Step-by-step explanation:
We know that the sum of angle around a point is 180° . Therefore let the first angle be x then second will be x + 3 .
According to the Question ,
> x + x + 3 = 360°
> 2x = 357=
> x = 357°/2
> x = 178.5°
4. In the quadratic function y = 232 + ba + c, the
affects the width of the parabola.
Answer:
d am
Step-by-step explanation:
What is the radius of the circle: x^2+y^2=4
1. (0, -4)
2. (0, 4)
3. (2, -4)
4. (0, 0)
Answer:
radius = 2
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
x² + y² = 4 ← is in this form
with r² = 4 ⇒ r = [tex]\sqrt{4}[/tex] = 2
centre (0, 0 ) and radius = 2
4m square - 8mn+3n ( resolve into factors)
Step-by-step explanation:
your answer will be ( 2m-3n)(2m-n)
Explanation is in the attachment
hope it is helpful to you
hope it is helpful to you
Step-by-step explanation:
[tex]4 {m}^{2} - 8mn + 3 {n}^{2} \\ 4 {m}^{2} - (2 + 6)mn + 3 {n}^{2} \\ 4 {m}^{2} - 2mn + 6mn + 3 {n}^{2} \\ 2m(2m - n) - 3n(2m - n) \\( 2m - 3n) \: (2m - n)[/tex]
What is the coefficient of x^3 in the expansion of (2x−3)^5?
Help please!!
Answer:
1....................
Answer:
1Step-by-step explanation:
COEFFICIENT....
justbrainlyuser
In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?
Answer: [tex]\frac{33}{65}[/tex]
Step-by-step explanation:
cosine of ∠T = [tex]\frac{adjacent}{hypotenuse}[/tex]
For ∠T,
Adjacent side = 33Hypotenuse = 65cosine of ∠T = [tex]\frac{33}{65}[/tex]
The value of the trigonometric relation cos ∠T = 0.507
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔTUV
where the measure of ∠UVT = 90°
And , the measure of side UT = 65 units
The measure of VU = 56 units
And , the measure of TV = 33 units
From the trigonometric relations ,
cos θ = adjacent / hypotenuse
On simplifying , we get
cos ∠T = TV / UT
cos ∠T = 33 / 65
cos ∠T = 0.50769
Hence , the trigonometric relation is solved
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
#SPJ2
solve for x in the equation x^2-12+36=80
Answer:
the answer is given in this picture hope this helps and good luck :)!
Step-by-step explanation:
Step-by-step explanation:
x² -12x+36 =90
(x-6)² =90
x-6. =+-√90
x. =6+-√90
x. =6+-√9×10
x. =6+-3√10
so the answer is first option
A u B u C A=(a,b,c,d,e) B=(d,e,f,g,h,i) C=(a,e,i,o,u) help class 8
Answer:
If U = { a, b, c, d, e, f, g, h} , find the complements of the following sets:(i) A = {a, b, c} (ii) B = {d, e, f, g} (iii) C = {a, c, e, g} (iv) D = { f, g, h, a}
Answer:
if;A= { a,b,c,d,e}
B= {d,e,f,g,h,i}
C= {a,e,i,o,u}
AuBuC = {a,b,c,d,e,f,g,h,i,o,u}
HAVE A NİCE DAY
Step-by-step explanation:
GREETİNGS FROM TURKEY ¯ツ
HELP WILL GIVE BRAINLIEST
Answer:
A. hexagonal prism
Step-by-step explanation:
The box has 2 congruent hexagons as bases, and 6 congruent rectangles as sides.
Answer: hexagonal prism
Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?
x g(x)
2 5
4 7
6 9
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.
i need help asap. rn
Answer:
4
Step-by-step explanation:
For this, you need to find the scale factor of two sides that are already given to you.
So, we will have to use the hypotenuse and one of the legs to make sure there is an accurate scale factor.
Hypotenuse:
15 / 5 = 3
Leg:
6 / 2 = 3
____________
So the scale factor is 3.
Using the leg (with the x) we need to divide 12 by the scale factor (3) to give us what x is equal to.
12 / 3 = 4
So, the answer is 4.
Look at the diagram. Which angle is supplementary to 1.) 2.) 3.) 4.)
Answer:
it's going to be EOC
Step-by-step explanation:
I used my brain
The number 6 is a solution to which of the following inequalities?
X - 13 > 7
6x < -12
6x > 32
21 + x < 28
Answer
6x<-12
Step-by-step explanation:
Answer:
There would be 2 answers in this case:
C. 6x > 32
and
D. 21 + x < 28
Step-by-step explanation:
A. Incorrect
6-13 = -7, and -7 is NOT greater than 7
B. Incorrect
6(6) = 36, and 36 is NOT less than -12.
C. Correct
6*6 = 36, which is greater than 32.
D. Correct
21+6 = 27, which is less than 28.
By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?
Answer:
$8
Step-by-step explanation:
This system of equations relates the ticket price, in dollars, for seats in the silver (x) and gold (y) sections at a rock concert. x + 2y = 82 3x + y = 96 By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?
Two equations are presented in this question
x + 2y = 82 equation 1
3x + y = 96 equation 2
Multiply equation 1 by 3
3x + 6y = 246 equation 3
subtract equation 2 from 3
5y = 150
y = 30
Substitute for y in equation 1
x + 2(30) = 82
x = 82 - 60
x = 22
difference in price = 30 - 22 = $8
x =
Can you help with 7-10
Answer:
7.Mean=Ex/n
= 88+96+92+84+86+92+98/7
=90
(b). Median = {84,86,88},92,{92,96,98}
=92
(C).Mode=92 ; it is the number with the highest frequency
9.Mean=Ex/n
=28+26+32+24+27+32+29/7
=28
(b).Median={24,26,27},28,{29,32,32}
=28
(c).Mode=32;it is the number with the highest frequency.
8.Mean=Ex/n
=3.5+5.7+9.8+7+12.4+10.2/6
=8.1
(b).Median={3.5,5.7},7,9.8,{10.2,12.4}
=7+9.8/2
=8.4
(c).Mode=no mode
10.Mean=Ex/n
=2+6+9+8+8+2+8+7+5+4/10
=5.9
(b).Median={2,2,4,5},6,7,{8,8,8,9}
=6+7/2
=6.5
(c).Mode= 8;it is the number with the highest frequency.
I hope this helps.
the lines given by the equations y=6x and y=6x+2 are ____
They are parallel, as shown by the graph.
If f(x) is an exponential function where f(-1.5)=26 and f(5.5)=7 then find the value of f(10), to the nearest hundredth
Answer:
5.0956537e-46
Step-by-step explanation:
^ means root
* means multiply
f(x) = ab^x
f(-1.5)=26 = ab^-1.5
f(5.5)=7 = ab^5.5
f(5.5)/f(-1.5) = 26/7 = ab^5.5/ab^-1.5
3.714 = b^7
b = 3.714^-7
f(-1.5)=26 = ab^-1.5
26 = ab^-1.5
26 = a * 3.714^-7
a = 3.714^-7 / 26
a = 0.00000394578
f(10) = ab^10
f(10) = 0.00000394578 * (3.714^-7)^10
f(10) = 5.0956537e-46
Luigi uses 39 cups of flour for every 6 pizzas he makes. How many cups of flour does he need to make 4 pizzas? If he uses 13 cups of flour how many pizzas can he make?
Answer:
4 pizzas - 26 cups
13 cups - 2 pizzas
Step-by-step explanation:
4 pizzas:
39 cups : 6 pizzas
6.5 cups : 1 pizza
6.5×4 cups : 4 pizzas
4 pizzas = 26 cups
6.5 cups : 1 pizza
13/6.5 cups : x pizzas
13 cups = 2 pizzas
Answer:
1) necesita 26 tazas de harina .
2) puede hacer solo 2 pizzas .
espero te sirva :)
Step-by-step explanation:
1) 39 dividido en 6 = 6,5 , 6,5 por 4 = 26.
2) 6,5 por 2 = 13.
factor completely 8y2 + 6y + 1
Answer:
Step-by-step explanation:
8y²+6y+1
=8y²+4y+2y+1
=4y(2y+1)+1(2y+1)
=(2y+1)(8y+1)
Marc puts 28 liters of water into a tub and 6 liters of water into a bucket. Then, he pours both containers into a tank.
Answer:
34
Step-by-step explanation:
PLSSS I REALLY NEED HELP RIGHT NOW!! 20 POINTSS??
Answer:
15/12
Step-by-step explanation:
[tex]x = \frac{31}{12} - \frac{8}{6} = \frac{15}{12} [/tex]
and it says don't reduce otherwise u could also say 5/4
GIVE AN EXPLANATION PLEASE! A BRAINLEEST IF TWO OR MORE PEOPLE HAVE ANSWERED IT. (FIRST COME FIRST SERVE BASES + ANSWER HAS TO BE CORRECT)
Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.
The profit percentage = 16.3%
PLEASE HELP ASAP!
Cynthia bought a bag of wafers weighing 543 grams. There are about 0.035 ounces in 1 gram. About how many ounces does the
bag of wafers weigh?
OA.
15.51
B. 0.035
C. 0.64
OD
19.01
Answer:
19.005 ounces
Step-by-step explanation:
I believe that all you have to do is mutilply the 2 numbers which is 543 and 0.035 to find the amount of ounces it weighs. So 543 × 0.035 = 19.005. The answer is 19.005 ounces. (i hope)
One number is 10 less than three times a second number. If their sum is 46, find the larger of the two numbers.
Answer:
32
Step-by-step explanation:
Number 1 =x
Number 2 =(3x-10)
number 1 + number 2 =46
x+(3x-10)=46
4x=56
x=14
Number 1 =x=14
Number 2=3x-10
3(14)-10
32
Number 1 (14)+Number 2 (32)=46
Solve the following system. The solution set {( , ), ( , )}.
Joanne earns $150 per week plus a 5% commission on her sales. If she made $355 last week, what were her sales for this week?
Answer:
150 + (.05x) = 355
.05x = 205
x = $4100
Step-by-step explanation:
Subtract to find amount of commission made:
355 - 150 = 205
She made $205 in commissions
Divide the amount she made in commission by the percentage she gets:
205 / 0.05 = 4,100
Her sales was $4,100
Two stores sell CDs in packages, as shown in the table below.
CD Prices at Store A
Number of CDs in Package
1
12
20
45
Cost
$0.70
$8.40
?
$31.50
CD Prices at Store B
Number of CDs in Package
1
20
30
65
Cost
$0.60
?
$18.00
$39.00
If the rate at each store is constant, which statement correctly compares the cost of a package containing 20 CDs?
The cost at Store A is $2.00 greater than at Store B.
The cost at Store B is $2.00 greater than at Store A.
The cost at Store A is $1.00 greater than at Store B.
The cost at Store B is $1.00 greater than at Store A.
Answer:
Step-by-step explanation:
If each CD at store A costs $.70, then 20 of them will cost 20(.7) = $14.
If each CD at store B costs $.60, then 20 of them will cost 20(.6) = $12.
The correct statement is that The cost at Store A is $2.00 greater than at Store B.
