Answer: 34
Step-by-step explanation:
[tex]a=3+2\sqrt{2} \\\\\dfrac{1}{a} =\dfrac{1}{3+2\sqrt{2}} =\dfrac{3-2\sqrt{2}}{(3+2\sqrt{2})(3-2\sqrt{2})} =\dfrac{3-2\sqrt{2}}{3^2-2^2*2} =3-2\sqrt{2}\\\\\\a+\dfrac{1}{a} =3+2\sqrt{2}+3-2\sqrt{2}=6\\\\(a+\dfrac{1}{a})^2=6^2=36=a^2+\dfrac{1}{a^2}+2\\\\\\a^2+\dfrac{1}{a^2}=36-2=34\\[/tex]
Combine Like Terms
1. What is the simplest expression equivalent to 2 - 11 + 18 - 20.x ?
-7-21x
7-19x
7+21x
-7+19x
Answer:
-9x+20
Step-by-step explanation:
I need help on this problem
36-12x/6
19. When the members of a high school club are
arranged in rows of 2, 3, or 4, there is one
person always left over. But when the club
members are arranged in rows of 5, no one is
left over. What is the least number of people
who could be in the club?
À 15 people
C 45 people
B 25 people D 85 people
9514 1404 393
Answer:
B. 25 people
Step-by-step explanation:
The remainders tell you the number will be 1 more than some multiple of the least common multiple (LCM) of 2, 3, and 4. The LCM is 3·4 = 12, so we want some multiple (n) of that such that 12n+1 is a multiple of 5. We know this is the case for n=2.
The least number of people who could be in the club is 2·12+1 = 25.
A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. What is the probability that a randomly selected marble is not blue?
Answer:
.75
Step-by-step explanation:
8 red marbles, 3 blue marbles, and 1 green marble = 12 marbles
P( not blue) = marbles that are not blue / total
=(8red+1 green) / 12
=9/12
= 3/4
.75
Ken solved the linear equation 2(5y - 1) = 18 using the following steps.
Step 1: 2(5y - 1) = 18
Step 2: 10y - 1 = 18
Step 3: 10y = 19
Step 4: y = 1.9
Which statement is true about Ken's method?
A. Ken made a mistake between Steps 1 and 2.
B. Ken made a mistake between Steps 2 and 3.
C. Ken made a mistake between Steps 3 and 4
D. Ken solved the equation correctly.
Answer:
A
Step-by-step explanation:
in step 1, when expanding the bracket, ken needed to do 2×5y AS WELL as 2×-1 which they didn't do. the correct answer after the first step should be 10y-2=18
Which of the following statements is false?
If a number is divisible by 8, it must be divisible by 4.
If a number is divisible by both 9 and 10, it is divisible by 90.
The sum of two consecutive odd numbers is always divisible by 4.
If a number is not divisible by both 3 and 4, it is divisible by 12.
Answer:
The last one
Step-by-step explanation:
It doesn't make sense for that to be true
Find the equation (in terms of x) of the line through the points (-3,0) and (4,5)
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.simplify each of the following.
[tex](2 \sqrt{3 + \sqrt{2)}{2} [/tex]
Answer:
[tex] \sqrt{2} + 2 \sqrt{3} [/tex]
Step-by-step explanation:
Simplify
[tex]2 \sqrt{3 } + \sqrt[2]{2} [/tex]
➡️ [tex] = \sqrt{2} + 2 \sqrt{3} [/tex] ✅
Hi, Find k, if x+2k is a factor of p(x). p(x) =3x^2+6kx^2-14x-3
Pls answer this and u will be given the brainliest crown !!!
The first person gets it if the answer is correct
Answer:
Step-by-step explanation:
First off, your polynomial should be a third degree, not a second degree. That's probably why you didn't get someone to answer this for you already.
If x + 2k is a factor of that polynomial, then by the Zero Product Property
x + 2k = 0 and x = -2k. That means that, by the factor theorem, f(-2k) = 0 (which means that if you plug -2k in for all the x's you get a zero). Therefore,
[tex]3(-2k)^3+6k(-2k)^2-14(-2k)-3=0\\-24k+24k+28k-3=0\\28k-3=0\\28k=3\\k=\frac{3}{28}[/tex]
Answer:
the answer is in picture
Translate the sentence into an equation.
Twice the difference of a number and 8 is equal to 6.
Use the variable b for the unknown number.
Answer:
X=2
Step-by-step explanation:
8-x=6
there the answer is 2
Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2).
f(x) = 3x - 1
Step-by-step explanation:
[tex]y - 5 = 3(x - 2) \\ y - 5 = 3x - 6 \\ y = 3x - 6 + 5 \\ y = 3x - 1[/tex]
Suppose Sofia is considering a 5-year loan for $6,000 at an interest rate of 7%. Use the table to complete the statements. Type the correct answer in each box. Round your answer to the nearest cent. Monthly Payment per $1,000 of Principal Rate 1 Year 2 Years 3 Years 4 Years 5 Years 6.5% $86.30 $44.55 $30.65 $23.71 $19.57 7.0% $86.53 $44.77 $30.88 $23.95 $19.80 7.5% $86.76 $45.00 $31.11 $24.18 $20.04 8.0% $86.99 $45.23 $31.34 $24.41 $20.28 8.5% $87.22 $45.46 $24.65 $24.65 $20.52 9.096 $87.45 $45.68 $31.80 $24.89 $20.76 Sofia's monthly payment would be $118.80 The total number of monthly payments that Sofia would make over the life of the loan is 60 finance charge on her loan would be $1,128.00
a) The monthly payment for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be $118.80.
b) The total number of monthly payments that Sofia would make for the 5-year loan of $6,000 at an interest rate of 7% is 60.
c) The total finance charge for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be approximately $1,128.00.
How is monthly payment calculated?The monthly payment to pay off a mortgage can be calculated using an online finance calculator as below.
Data and Calculations:Loan amount = $6,000
Maturity period = 5 years
Interest rate = 7%
N (# of periods) = 60 months (5 years x 12)
Results:
Monthly Payment = $118.81 ($34.02 + $84.79)
Mortgage Payment = $7,128.60 ($118.81 x 60)
Total of 60 Mortgage Payments $7,128.60
Total Interest = $1,128.60 ($7,128.60 - $6,000)
Monthly Amortization Schedule (for the first 3 months)Date Beginning Balance Interest Principal Ending
Repayment Balance
1 3/2022 $6,000.00 $35.00 $83.81 $5,916.19
2 4/2022 $5,916.19 $34.51 $84.30 $5,831.90
3 5/2022 $5,831.90 $34.02 $84.79 $5,747.11
Learn more about calculating monthly payments at https://brainly.com/question/24576997
Answer:
The table shows monthly payments for every $1,000 of principal borrowed. For a 5-year loan at 7%, the payment on a $1,000 loan would be $19.80.
So, for a loan of $6,000, the payment would be $19.80 × 6 = $118.80.
A 5-year loan will have 60 monthly payments since 5 × 12 = 60.
Multiply the monthly payment by 60 months to get the total amount paid on the loan:
$118.80 × 60 = $7,128.
To calculate the total finance charge, subtract the principal amount from the total amount paid on the loan:
$7,128 − $6,000 = $1,128.
Step-by-step explanation:
What is the quotient of 1/2 divided by 1/4 what is the quotient
Answer:
The quotient is 2
I don't think this needs solution
Answer:
the quotient is 2
Step-by-step explanation:
1/2÷1/4
1/2×4/1
=2
HELPPPPPP!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
no need to panic !
it is actually totally easy.
we have the complete, big angle at U (imagine you turn VU around U into UT) = 178 degrees.
VT is almost a straight line (then that angle would be 180 degrees). but only almost ...
anyway, the other 2 angles are just parts of the big angle, and we see that together they sum up to the big angle, as there is no other space for a part of the big angle left.
so
(14x - 11) + (12x + 7) = 178
14x - 11 + 12x + 7 = 178
26x - 4 = 178
26x = 182
x = 7
There is one third of a cake shared equally between 5 children. How much of the cake does each child receive? Use the number line to help you.
Answer:
1/3÷5
=1/3×1/5
=1/15
each child receive 1/15 of cake
0.2 kg
2m
9.8g
Pls help quick
what is the smallest positive integer that can be doubled to get a perfect cube and tripled to get a perfect square
Its 1
Doubled:-
[tex]\\ \rm\longmapsto 1\times 1=1=1^3[/tex]
Tripled[tex]\\ \rm\longmapsto 1\times 1\times 1=1=1^2[/tex]
Find the missing angle.
Answer:
Your answer is K= 60
I hope it's helps you
a number is multipilied by 6, and that the sum is equal to the product of 2 and 19. find the number
Answer:
[tex]take \: the \: number = x \\ thenx \times 6 = 2 \times 19 \\ \\ 6x = 38 \\ x = \frac{38}{6} \\ x = 6.33 \\ thank \: you[/tex]
Given: 40,905; 40,509; 40,095; and 40,059, the correct arrangement of these numbers from the least to the greatest value is:
40,905; 40,509; 40,095; and 40,059.
40,059; 40,095, 40,509; and 40,905.
40,059; 40,095; 40,905; and 40,509.
40,095; 40,059; 40,509; and 40,905.
40,509; 40,905; 40,095; and 40,059.
Answer:
Step-by-step explanation:
40905
40509
50095
40059
Is greatest to least. You want it to go the other way around.
40059
40095
40509
40905
The smallest number is determined by the number on the right. Then your keep going left to get to the largest. The answer is the second one down.
What is the product of. I really need the now
Answer:
try photo math
Step-by-step explanation:
it may work for this problem
whats 40 euros to usd?
Answer:
47.06 United States Dollar
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
47.6 US DollarsHope it helpsThanks.Do you guys know this because I was trying to submit but it don’t let me I put 7/6 but it say I need different Way
Answer:
is 5
Step-by-step explanation:
Hope it is helful...Answer:
5
Step-by-step explanation:
So first when dividing fractions you need to invert and multiply. Thus the fraction becomes:
1/4 * 20/1.
When simplified it becomes 20/4 which is 5.
HOPE THIS HELPED
Candice recorded outdoor temperatures as -5°C, 2°C and 1°C. Which of the following correctly compares the three temperatures?
Answer:
2°C
Step-by-step explanation:
outdoor temperature
9. ax + by = (a - b), bx - ay = (a + b)
Answer: give me brainliest
Step-by-step explanation:
ax+by=a-b
ax=a-b-by
x=a-b-by/a←
bx-ay=a+b
substituting
b(a-b-by/a)-ay=a+b
ab-b²-b²y/a-ay=a+b
ab-b²-b²y-a²y/a=a+b
ab-b²-(b²+a²)y=a²+ab
-(b²+a²)y=a²+ab-ab+b²
(b²+a²)y=-(a²+b²)
y=-(a²+b²)/a²+b²
y=-1←
substituting value of y
x=a-b-b(-1)/a
x=a-b+b/a
x=a/a
x=1
What is the probability of getting tails on two coins only (there are 3 coins by the way)
Answer:
1/2
please mark me brainliest
In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100 said they preferred cookies & cream, and 4 said they had never eaten ice cream. If a pie chart were to be made showing the preference for each flavor, the central angle for the chocolate ice cream sector would be:_________
Find the percentage of the people who like Chocolate = chocolate/ total x 100
Percentage = 125/300 = 0.41666 x 100 = 41.6667 = 41.67 ( round as needed)
A full circle is 360 degrees.
The central angle = percentage of chocolate x 360:
0.416666 x 360 = 150
The central angle for chocolate is 150 degrees
In the number 6.253
(a) What is the place value of 2 ...................................................................
(b) What is the value represented by 5 ...................................................................
Answer:
place value of 2 is 100
Step-by-step explanation:
please brainleist my answer
Answer:
The place value of 2 in 6.253 is 200
Step-by-step explanation:
Place value of 2 is occurring in hundreds
Trent buys a new smartphone. The total cost is $599.40, but he pays in equal monthly payments of $33.30. How many months will it take Trent to pay off the smartphone?
how many months?
Gabby recorded the number of points she scored in her first 7 Basketball games. Which box and wiskers is correct?
Answer:
There is no Image
So Instead
There should be the lowest extreme aka 0, and hights extreme (Whatever number is last) Then you've got average (The Middle) and n the middle of it is the median.
