Answer:
Having enough to retire.
Step-by-step explanation:
The biggest long-term financial goal for most people is saving enough money to retire. The common rule of thumb that you should save 10% to 15% of every paycheck in a tax-advantaged retirement account like a 401(k) or 403(b), if you have access to one, or a traditional IRA or Roth IRA.
12 cars in 15 hours how many cars is in 10 hours
Answer:
8Step-by-step explanation:
12 cars in 15 hours how many cars is in 10 hours
12 : 15 = x : 10
x = 12 * 10 : 15
x = 8
-------------------
check
12 : 15 = 8 : 10
0.8 = 0.8
the answer is good
5. The combined perimeter of a circle and a square is 16. Find the dimensions of the circle and square
that produce a minimum total area.
The dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively
Represent the side length of the square with s, and the radius of the circle with r.
So, the perimeter (P) and the area (A) of the shape are:
[tex]P =4s + 2\pi r[/tex]
[tex]A =s^2 + \pi r^2[/tex]
The perimeter is 16. So, we have:
[tex]4s + 2\pi r = 16[/tex]
Divide through by 4
[tex]s + 0.5\pi r = 4[/tex]
Make s the subject
[tex]s = 4 - 0.5\pi r[/tex]
Substitute [tex]s = 4 - 0.5\pi r[/tex] in [tex]A =s^2 + \pi r^2[/tex]
[tex]A = (4 - 0.5\pi r )^2 + \pi r^2[/tex]
Expand
[tex]A = 16 - 4\pi r + 0.25(\pi r)^2 + \pi r^2[/tex]
This gives
[tex]A = 16 - 4\pi r + (0.25\pi^2 + \pi )r^2[/tex]
Differentiate with respect to r
[tex]A' = 0 - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]
[tex]A' = - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]
Set to 0
[tex]- 4\pi + 2(0.25\pi^2 + \pi )r =0[/tex]
Add 4pi to both sides
[tex]2(0.25\pi^2 + \pi )r =4\pi[/tex]
Divide both sides by 2
[tex](0.25\pi^2 + \pi )r =2\pi[/tex]
Make r the subject
[tex]r =\frac{2\pi}{(0.25\pi^2 + \pi )}\\[/tex]
Factor out pi
[tex]r =\frac{2\pi}{\pi(0.25\pi + 1 )}[/tex]
Cancel out the common factors
[tex]r =\frac{2}{0.25\pi + 1 }[/tex]
Express pi as 3.14
[tex]r =\frac{2}{0.25\times 3.14 + 1 }[/tex]
[tex]r =\frac{2}{1.785}[/tex]
Divide
[tex]r =1.12[/tex]
Recall that:
[tex]s = 4 - 0.5\pi r[/tex]
This gives
[tex]s =4 -0.5 \times \pi \times 1.12[/tex]
This gives
[tex]s =4 -0.5 \times 3.14 \times 1.12[/tex]
[tex]s =2.24[/tex]
Hence, the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively
Read more about minimum areas at:
https://brainly.com/question/6427280
Write an equation of the line in slope-intercept form. 2. 3. (0, -1) (0.4) 2 3 4 5 * 86 (4, -2) -6 (-5, -3)
A father is 33 years old. Which is 3 less than 12 times his son's age. How old is the son?
Answer:
His son is 3 years old.
Step-by-step explanation:
33 years old ... 3 less than .... = 36
36/12 = 3
How are the two triangles congruent? If not congruent, select not
congruent.
1 point
SSS
SAS
ASA
AAS
ОО
Not congruent
Answer:
SAS
Step-by-step explanation:
there are vertical angles in the middle and the sides are already marked
Pratima attends dance classes every 6 days, singing
classes every 4 days, and yoga classes every 16 days. If
.
she does all three activities today, in how many days will
she do all the three activities again on the same day?
PLEASE SHOW YOUR WORK
Using the least common factor, it is found that she will do all the three activities again on the same day again in 48 days.
She sings every 4 days.She attends dance classes every 6 days.She has yoga classes every 16 days.To find how many days it takes so that she will do all the three activities again on the same days, we have to find the least common factor of 4, 6 and 16.
It is done factoring them using prime factors, then:
4 - 6 - 16|2
2 - 3 - 8|2
1 - 3 - 4|2
1 - 3 - 2|2
1 - 3 - 1|3
1 - 1 - 1
Hence:
lcm(4,6,8) = 2x2x2x2x3 = 48
She will do all the three activities again on the same day again in 48 days.
To learn more about the least common factor, you can take a look at https://brainly.com/question/25924269
Which quantity is proportional to 40/8?
Answer:
5/1
10/2
15/3
20/4
25/5
30/6
35/7
Step-by-step explanation:
Help help help help math math
Step-by-step explanation:
Relation
Hope it correct!!!
Ahat costs $25. Tax is 8%. How much is the lax on the hot? O $20 $17 $0 20 $2 NEXT QUESTION ASK TORTILLP
Answer:
$2
Step-by-step explanation:
To use a percent you must change it to a decimal.
8% is .08
To find 8% of 25, we use multiplication.
.08 × 25
= 2
In case you cannot use a calculator or you want to be very quick about this, or just do a simple check... you can actually reverse the number (money, amount, etc) and the percent.
25% of 8 is not bad for doing mental math. 25% is a quarter, or 1/4 of 8 which again is 2.
Given the set of numbers, 2, 3, 4, 8, 10 with mean = 6 The Second moment about the mean for this set is?
Answer:
Given,
2,3,4,8,10
ex=2+3+4+8+10+x
=27+x
mean=6
no of data=5
now,
mean = ex/n
or,6=27+x/5
or,5×6=27+x
or,30=27+x
or,30-27=x
3=x
On a piece of paper, graph f(x) = 4x. Then determine which answer choice
matches the graph you drew.
Answer:
The Correct Answer is A
Step-by-step explanation:
You are able to put the equation into Desmos Online Graphing Calculator.
When inserting the equation:
[tex]f(x) = 4 {}^{x} [/tex]
You are able to determine that the graph looks like Graph A
I hope this helps and you have a great day!
Note: I am not a professional so take my opinion with caution!
Answer:c
Step-by-step explanation:
HELP BRAINLY PPLS!!! Identify the transformation that was applied to this boomerang.
A.Translation
B.Rotation about the origin
C.Reflection over the x-axis
D.Reflection over the y-axis
Answer:
B should be the answer because it did rotate and the origin is in the middle 0,0 which it look like to me it is on.
Find the projection of u onto v.
- Is the answer on the bottom correct?
What is the following simplified product? Assume x 0.
(sqrt6x^2+4sqrt8x^3)(sqrt9x-xsqrt5x^5)
Answer:
c
Step-by-step explanation:
Keep in mind, whatever is inside of the square root, stays inside of the square root, and whatever is outside, stays outside, they don't multiply together. With parenthesis, exponents multiply, if there's no parenthesis, the exponents don't multiply. In this case, the exponents add.
Multiply each one together:
sqrt(6x^2) x sqrt(9x) = sqrt(54x^3)
sqrt(6x^2) x -(x sqrt(5x^5)) = -x sqrt(30x^7)
4 sqrt(8x^3) x sqrt(9x) = 4 sqrt(72x^4)
4 sqrt(8x^3) x -(x sqrt(5x^5)) = -4x sqrt(40x^8)
Then simplify:
sqrt(54x^2) = 3x sqrt(6x)
x sqrt(30x^7) = -x^4 sqrt(30x)
4 sqrt(72x^4) = 24x^2 sqrt(2)
-4x sqrt(40x^8) = -8x^5 sqrt(10)
-
Which polynomial has a factor of (x - 5)?
A x² + 4x - 5
B x + 5x + 4
C x² – 2x - 15
D 2x + 11x + 5
-
Answer:
The correct answer is C
x² - 2x -15
Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.
Answer:
x-intercept: 4
y-intercept: -4
Step-by-step explanation:
Hope this helps. Plz give brainliest! Also, plz sub to kgirl633 on yt!
4.A counterexample can be used to show that a conjecture is false. Below are three
conjectures students made after visiting a zoo. Write a counterexample that shows that
conjecture is false.
a. There are always more elephants in a zoo than giraffes.
b. The oldest leatherback sea turtle in captivity is 33 years
old.
c. American bison are never over 6 feet tall.
Counterexamples are simply used to disprove conjectures.
(a) Elephants and Giraffes
This conjecture may or may not be true.
However, it can be disproved by the following counterexample
There are sometimes more elephants in a zoo than giraffes
The word "sometimes" disproves the original conjecture
(b) The oldest leatherback sea turtle
This conjecture is not true.
This is so because the oldest leatherback sea turtle in captivity is actually 400 years old.
So, the conjecture can be disproved by the following counterexample
The oldest leatherback sea turtle in captivity is 400 years old.
(c) American bison
This conjecture may or may not be true.
However, it can be disproved by the following counterexample
American bison are sometimes over 6 feet tall
The word "sometimes" disproves the original conjecture
Read more about conjectures and counterexamples at:
https://brainly.com/question/1619980
A standard die is rolled find the probability that the number rolled is less than six express your answer as a fraction in the lowest terms or decimal number round three Decimal places if necessary
There are 6 numbers on a standard die and. 5 of the numbers are less than 6.
The probability would be 5/6
The sum of 8 and a number is 9
Answer:
The sum of 8 and 1 is 9.
lol
Step-by-step explanation:
9490 divided by 5.explain how you got the answer
Answer:
The number 9490 is called the numerator or dividend, and the number 5 is called the denominator or divisor.
The quotient of 9490 and 5, the ratio of 9490 and 5, as well as the fraction of 9490 and 5 all mean (almost) the same:
9490 divided by 5, often written as 9490/5.
Read on to find the result of 9490 divided by 5 in decimal notation, along with its properties.
Worth 12 points do it soon pls
Step-by-step explanation:
9+(-5)=4
-8-4=-12
8-(-4)=12
-9+5=-4
Hope this helps, just go connect the equation to the answer that I put.
RULES
If you have a minus and a minus (- -) it is equal to +
If you have Plus and Minus (- +) it is equal to -
The first one when simplified is 9-5=4
The second one Simplified is -8-4=-12
The third one simplified is 8+4=12
The fourth one simplified is -9+5=-4
I hope this helped and that you got the concept. If you have questions, ask me
Ps. If you mark me branliest it would-be very appreciated
Some help please please
Answer:
[tex]8\sqrt{2}[/tex]
Step-by-step explanation:
To find the length of an isosceles triangle, you know that the angles of the triangle are 45-45-90, so let's use that triangle theorem.
Therefore, the length of the hypotenuse (BD) is [tex]x\sqrt{2}[/tex], and x is equal to 8 (length of BC).
[tex]x\sqrt{2}[/tex]
x=8
Therefore, [tex]8\sqrt{2}[/tex] would be the length of side BD.
Answer:
oh snap i have this question too sorry cant help :(
Step-by-step explanation:
but i can provide with advice bc is the side down and bd is across us this to your advantage
5. How much would d dollars earn in one year at thē rate of p percent compounded annually?
Answer:
a
Step-by-step explanation:
a
Can you solve this? Please ( 15+ points)
Answer:
112+24x
Step-by-step explanation:
2(16+(10*4)+(x*12))
solve the inner bracket
2(16+40+12x)
solve this bracket
2(56+12x)
solve this now
112+24x
Answer:
[tex]24x+112[/tex]
Step-by-step explanation:
First of all we will start with the brackets inside the equation,
1. [tex]2[16+40+12x][/tex]
Now we can multiply 2 by all the values inside the parentheses
2. [tex]32+80+24x[/tex]
I just wanted to confirm that the big X is a variable?
Fact: Did you know that there are about 4 types of parenthese: ( ) - round brackets, [ ] - square brackets, { } - curly brackets, and < > - angle bracket.
help me please please
Answer:
17/18
Step-by-step explanation:
To add fractions, you need to have common denominators. (4/9)*(2/2)=8/18.
Now that they have common denominators, you can add 8 and 9 to get 17. So, the answer would be the second one, 17/18.
Answer:
r u just cheating ur way through a whole test lol
Step-by-step explanation:
its B or 17/18
Choose the symbol that correctly compares these mixed numbers.
Answer : =
Step - by - step explanation :
6 3/6 -- simplest form --> 6 1/2
6 6/12 -- simplest form --> 6 1/2
Find the value of x need help
Answer:
x = 13
Step-by-step explanation:
180-52=10x-2
130=10x
13=x
If 8 boys are arranged in a row, what is the probability that 3 boys will sit together?
Answer:
100% if you have 8 boys in a row the change that three boys will sit next to each other is 100%
Hope This Helps!!!
Answer:
i think probably 3/28 ,that 3 boys will sit together
what is the complete factorization of the polynomial below
[tex] {x}^{3} - {2x}^{2} + x - 2[/tex]
[tex]a. (x - 2)(x + i)(x - i)[/tex]
[tex]b.(x + 2)(x - i)(x - i)[/tex]
[tex]c.(x + 2)(x + i)(x - i)[/tex]
[tex]d.(x - 2)(x - i)(x - i)[/tex]
Answer:
[tex]a. \ (x-2)(x+i)(x-i)[/tex]
Step-by-step explanation:
First of all let's notice that [tex](x-i)(x-i)=(x-i)^2 = x^2+2xi-1 \in \mathbb{C}[/tex] while our original polynomial is real. So we can rule out the even options B and D. At this point, if the polynomial has a factor of [tex](x-\alpha)[/tex] it means tha [tex]\alpha[/tex] is a zero of the polynomial. Let's check both 2 (for option a) and -2 (for option c)
[tex]p(2)=2^3-2(2)^2+2-2= 8-8+2-2=0[/tex]
[tex]p(-2)= (-2)^3-2(-2)^2+(-2)-2=-8-8-2-2=-20[/tex]
At this point 2 is a zero, and our final factoring is a[tex](x-2)(x+i)(x-i)[/tex]
Question
Triangle ABC is similar to triangle XYZ. Find side a.
13
39
Y
5
Z
B
Provide your
Answer:
Step-by-step explanation:
There are two great ways to set up this problem and they both get you the same answer. First you know that the triangles are similar, this means they are the same shape, but not necessarily the same size. You can use ratios to compare the sizes of the sides. Just be sure to compare like things to like things.
One way: compare the small triangle's long side to short leg with the big triangle's long side to short leg. Like this:
13/5 = 39/a
OR...compare long side(sm) to long side(big) compared to short leg(sm) to short leg(big). Like this:
13/39 = 5/a
Amazingly, these equations will give you the same answer.
13a = 39*5
13a = 195
13a/13 = 195/13
a = 15
You can maybe see that the big triangle's side is 3 times bigger than the small one (13 times 3 is 39) So it works out that the 5 on the little triangle is 3 times bigger--15--on the large triangle!