Answers
Answer: a + b = 40
[tex](3+\sqrt{5})(7-6\sqrt{5})=3.7+7\sqrt{5}-3.6\sqrt{5}-6\sqrt{5}.\sqrt{5}\\\\=21+6.5-11\sqrt{5}\\\\=51-11\sqrt{5}[/tex]
because [tex](3+\sqrt{5})(7-6\sqrt{5})=a+b\sqrt{5}[/tex]
=> a = 51
b = -11
=> a + b = 51 -11 =40
Step-by-step explanation:
Answer:
[tex]a = -9 - 11\sqrt{5} - \sqrt{5}b[/tex]
a = 51
b= -11
Related Questions
Each letter of the word "supercalifragilisticexpialidocious" is placed into a bag and drawn at 3 times, replacing the letter after each draw. Find the probability that the letter "i" is drawn at least once.
Answers
Answer:
P(X ≥ 1) = 0.50
Step-by-step explanation:
Given that:
The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.
Then; the probability of success = 7/34 = 0.20588
Using Binomial distribution to determine the probability; we have:
[tex]P(X = x) = ^nC_x \ \beta^x \ (1 - \beta)^{n-x}[/tex]
where;
x = 0,1,2,...n and 0 < β < 1
and x represents the number of successes.
However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:
P(X ≥ 1) = 1 - P(X< 1)
P(X ≥ 1) = 1 - P(X =0)
[tex]P(X \ge 1) = 1 - \bigg [ {^3C__0} (0.21)^0 (1-0.21)^{3-0} \bigg][/tex]
[tex]P(X \ge 1) = 1 - \bigg [ 1 \times 1 (0.79)^{3} \bigg][/tex]
P(X ≥ 1) = 1 - 0.50
P(X ≥ 1) = 0.50
$1000 is invested in an account at interest rate r=0.045, compounded continuously. Find the time required for the amount to double
Answers
Answer:
The formula you'll need is:
Years = ln (total / principal) / rate
ln means natural log
Years = ln (2,000 / 1,000) / .045
Years = ln (2) / .045
Years = 0.69314718056 / .045
Years = 15.4033
Step-by-step explanation:
simplify each expression
(e^2)(g)(g^4)(e^3)
(e)(e^2)(e)
Answers
9514 1404 393
Answer:
e^5g^5e^4Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
[tex](e^2)(g)(g^4)(e^3)=e^{(2+3)}g^{(1+4)}=\boxed{e^5g^5}\\\\(e)(e^2)(e)=e^{(1+2+1)}=\boxed{e^4}[/tex]
give an example of a rational number
Answers
17
0.80
-22
Anybody know this I’ll give you 25 points and the answer is not D
Answers
Answer:
Most likely D, not sure if I am correct, this might not help
Step-by-step explanation:
In order to find the inverse of an equation, we first swap x and y. Then, we solve for y in the new equation.
[tex]y=x^2-5\\x=y^2-5\\x+5=y^2\\±\sqrt{x+5} =y[/tex]
Ignore the A with a caret above it in the front, I don't know why it is there. I am not sure if I am correct, as I have only just completed Algebra 1 so I do not have good knowledge on mathematics.
A road is 4/7
of a mile long. A crew needs to repave 4/7 of the road. How long is the section that needs to be repaved?
Write your answer in simplest form.
Answers
Answer:
hello
Step-by-step explanation:
7. Find the slope of the line.
Answers
1/5
Explanation:
For every two minutes, 10 items get sold. 2/10 is equivalent to 1/5
Answer:
5
Step-by-step explanation:
take 2 points on the graph, for example (4,20) and (2,10) use y2-y1/x2-x1 to solve ,plug in the values 20-10/4-2= 10/2 = 5
Plz answer these two and I will give you brainliest
Answers
Answer:
1. -9. 2.i cant see what all the options are but the slope is y= 1/2x -3
Step-by-step explanation:
Hope this helps :)
Which of the following is equivalent to the addition problem below?
27.93 +61.63
Answers
Jonathan’s class has 30 boys. Of the students in his class, 60% are girls.How many girls are in Jonathan’s class?
Answers
Answer:
45=60%
15=20%
30=40%
60=80%
75=100%
Step-by-step explanation:
Answer: Approximately due to my calculations there are about 60 girls
Step-by-step explanation:60% as a decimal is 0.6
Write the slope intercept form of the equation of the line through the given point with the given slope through (-2,5),slope-3/2
Answers
Answer:
Slope Intercept Form: y= -3/2× + 2
Pls help me
Question 10 (1 point)
Which of the following measurements, could be the side lengths of a right triangle?
a
8 inches, 10 inches, and 12 inches
9 inches, 12 inches, and 15 inches
b
с
10 inches, 5 inches, 11 inches
d
6 inches, 12 inches, 14 inches
Submit
Answers
Answer:
9in 12in 15in
Step-by-step explanation:
Somebody help me plzzZZZZ
Answers
I can probably help
If not I’m so sorry
I’m also struggling
Answer:
Step-by-step explanation:
9.
a1=-35
d=a2-a1=-28-(-35)=7
a35=a1+(35-1)7
=-35+34×7
=-35+238
=203
help plz it's a 9th grade question
Answers
x= 45/7
y=426/7
Need help ASAP please give answer in cm squared
Answers
Answer:
17×15=255
Step-by-step explanation:
you do base times height
Solve the equation 4x-6= 34. Write a reason for each numbered step.
Answers
Answer:
Steps:
4x - 6 = 34
Add 6 to both sides
4x - 6 + 6 = 34 + 6
Simplify:
4x = 40
Divide both sides by 4
4x/4 = 40/4
Simplify:
x = 10
I need help please!!
Answers
Answer:
1
Step-by-step explanation:
The line goes through the point 1, so that will be the slope.
One week, London earned $313.50 at her job when she worked for 15 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $647.90?
Answers
to figure out how much she gets paid per hour: 313.50/15 = 20.9
now to figure out how many hours she needs to work to ear $647.90 =
20.90 x 15
Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2
Answers
Answer:
y = [tex]\frac{1}{2}[/tex] x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 2 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
The line crosses the y- axis at (0, 1) ⇒ c = 1 , then
y = [tex]\frac{1}{2}[/tex] x + 1 ← equation of perpendicular line
If a ∥ b and e ∥ f, what is the value of y?
87
88
91
92
Answers
Answer:
88 i believe
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.
-I got the question right on the test
Hope this helps!
Write three expression that are equivalent to the given expression.
24x+20y
Answers
Answer:
2(12x + 10y)
Step-by-step explanation:
The value of three expression that are equivalent to the given expression (24x + 20y) are,
⇒ 2 (12x + 10y)
⇒ 4 (3x + 5y)
⇒ 48/2x + 40/2y
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 24x + 20y
Now, We can write the expression as,
⇒ 24x + 20y
⇒ 2 (12x + 10y)
⇒ 4 (3x + 5y)
⇒ 48/2x + 40/2y
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
2 points
2) Mark bought a new suit for $139. The sales tax was 8.5%. What is the
total cost of the suit?*
Answers
8.5% of 139 is $11.82 then u add that to 139
Name the point of concurrency shown. Please please don’t answer if you don’t know it!!!
Answers
Answer:
Circumcenter
Step-by-step explanation:
The number one selling item at Sam’s Swim Shop is a beach towel. It is priced at $7.50 , How much will Mrs. Wilson spend if she purchases 4 beach towels and pays 6% sales tax ?
Answers
Answer:
$31.80
Step-by-step explanation:
Is none proportional it proportional
Answers
Answer:No it is not proportional
Step-by-step explanation:
The reason non proportional is not proportional is bc it's not proportional.
Answer:
It's not proportional
Step-by-step explanation:
I can tell you that if you have, for example, 2 spring rolls and they are eaten by 4 people, then 1 spring roll is eaten by 2 people. That is proportional, becuase the amount of people is always dependened of the amount of spring rolls. But here, for 1 hour here, you get paid 52 dollars. If it was proportional, for 2 hours you'd be paid 104 dollars.
Please help! Last question and it was due last night! Will choose brainiest!
Answers
Answer:
YZ=6.42 m<Y=12
Step-by-step explanation:
Answer:
77 degrees yz
If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation:
h(t) = -16t^2 + 128t
What is the maximum height the rocket reaches?
Answers
Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
(h, k) is the vertex pointh = [tex]\frac{-b}{2a}[/tex] and k = f(h)(h, k) is a minimum point if a > 0 and a maximum point if a < 0Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet
Maribelle uses x yards of material to make a quilt. A customer requests 5 quilts that are 20% larger than the normal pattern. Write an expression to represent the total yards of material needed for the requested quilts in two different ways?
Answers
Answer:
i. 5(x + 0.2x) yards
ii. 6x yards
Step-by-step explanation:
Since the requested quilts are 20% larger than the normal pattern, then;
20% of x = 0.2 x
Thus,the yards of material to make each of the requested quilts increased by 0.2x yards.
So that;
To make one of the requested quilt, the yards required = x + 0.2x
For 5 requested quilts, the total yards required = 5(x + 0.2x)
Total yards of material for the requested quilts is 5(x + 0.2x).
Also,
5(x + 0.2x) = 5x + 5(0.2x)
= 5x + x
= 6x
Thus, the total yards required is 5(x + 0.2x) or 6x.
find the LCM and HCF of 110 and 220 by prime factorization, what do u observe
Answers
Answer:
GCF= 2 x 5 x 11 = 110
LCM= 2 x 2 x 5 x 11 = 220
Step-by-step explanation:
The larger of two numbers is sixteen less than twice the smaller number. If the sum of the numbers is 44, find the two numbers. Write your answer as two numbers separated by a coma.
Answers
Answer:
20, 24
Step-by-step explanation:
smaller: x
larger: 2x - 16
x + 2x - 16 = 44
3x -16 = 44
3x = 60
x = 20
smaller: x = 20
larger: 2x - 16 = 2(20) - 16 = 24