The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .
____________________
Step-by-step explanation:
Based on the assumption that the "1" repeats infinitely; in the given value:
" 33.61111111 ...." ;
_______
Note that the "611" ; after the decimal point; this goes to the "thousandths";
place (is "3 (three) digits long.").
_______
As such; we rewrite the number as:
_______
" [tex]\frac{33.611}{1}[/tex] " ;
and we multiply BOTH the "numerator" And the "denominator" by: "1000" :
_______
→ " [tex]\frac{(33.611)*(1000)}{(1)*(1000)}[/tex] " ;
to get:
→ " [tex]\frac{33611}{1000}[/tex] " ; → which cannot be reduced any further.
_______
The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .
_______
Hope this is helpful to you!
Wishing you the best!
_______
need help right now plz!!
Answer:
[tex]2<p<6[/tex]
Step-by-step explanation:
If it is less than [tex]6[/tex], it must have [tex]p<6[/tex].
If it is greater than [tex]2[/tex], it must have [tex]2<p[/tex].
We can combine these inequalities to get [tex]\boxed{2<p<6}[/tex].
The graph is left as an exercise to the reader.
need help with study guide plz!
Answer:
x = 3/5
Step-by-step explanation:
5th root of Y is notated in exponential notation as Y^(1/5), which is Y to the one fifth (1/5) power.
So, the 5th root of 19^3 is (19^3)^(1/5) = 19^(3 * 1/5) = 19^(3/5), since (A^a)^b = A^(a*b).
Alex bought two hots dogs, fries, and a water at the food truck. The hot dogs were
$2.35 each and the fries were $1.25. When he paid with a $10 bill he received $1.45 in
change. How much was the water?
Which table can be represented by a line?
A)
А
B)
B
C С
D
D
Step-by-step explanation:
if you really want to get answer you should follow me
√3(√6+√15)
simplify to the simplest form possible
Answer:
√3(√6+√15)
= 3**1/2(6**1/2 + 15**1/2)
= 3**1/2 · 6**1/2 + 3**1/2 · 15**1/2
= 18**1/2 + 45**1/2
= (2×9)**1/2 + (5×9)**1/2
= 2**1/2 · 9**1/2 + 5**1/2 · 9**1/2
= 2**1/2 · 3 + 5**1/2 · 3
= 3(√2 + √5)
Step-by-step explanation:
The equation for line j can be written as y= 1 2 x–4. Parallel to line j is line k, which passes through the point ( – 8, – 5). What is the equation of line k?
Please take a look at the picture.
if a(12)= x/3+2 and b(x)=12x, what is a(12)+b(1)?
Answer:
[tex]a(12) = 12 \div 3 + 2 \\ + b(1) = 12 \times 1 \\ = 4 + 2 + 12 = 18[/tex]
- A candy clerk has three times as many kilograms of chocolate creams as peanut clusters.
The clerk has 48 kg of the two candies altogether. How many kilograms of peanut clusters
does the clerk have?
The kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut flusters.
Let the kilograms of peanut clusters = x
Let kilograms of chocolate creams = y = 3x
Therefore, from the information given, the equation to solve the question will be:
x + y = 48 kilograms
x + 3x = 48 kilograms
4x = 48 kilograms
x = 48 kilograms / 4
x = 12 kilograms
Therefore, the kilograms of peanut clusters that the clerk has will be 12 kilograms of peanut clusters.
In conclusion, the correct option is 12 kilograms.
Read related link on:
https://brainly.com/question/24959144
17. What is .25 written in its simplest fraction form? A. 100/25 B.215 C. 14 D.444
Answer:
[tex]25 = \frac{25}{100} [/tex]
so answer is
[tex]a) \: \: \frac{25}{100} [/tex]
I need super help with this one.
Which expression is equivalent to 8k+10+9k+1?
-k+11 18k+10
-k+9 or 11+17k
Answer:
[tex]8k + 10 + 9k + 1 = k(8 + 9) + (10 + 1) \\ = 17k + 11[/tex]
Find the value of x if the two triangles are similar. Explain.
Given :
The given two triangles are similar .To find :-
The value of x .Solution :
In larger triangle :-
90 + y + y = 1802y = 180 - 90 2y = 90 y = 45°As we know that ,
Corresponding Angles of similar triangles are same ,
15x = 45x = 45/15 x = 3What is 99x99 - 8x8 + 25+
Answer:
9762
Step-by-step explanation:
Does anyone know how start studying like the motivation too like on math mostly?
Answer:
See below:
Step-by-step explanation:
If you want to start studying but cant find the will too, set up a schedule and try to limit your mind to just studying during that time, you can start small like ~15 minutes on your first day, and gradually improve once your mind starts to adjust to it.
Its mostly figuring out how your mind works.
Funny how school teaches you, but doesnt teach you how to learn.
If this answer helped you, please consider marking as brainliest, helps a ton.
Have a nice day!
If odd natural numbers are less than 7, then they are prime numbers.
True or False?
How to simplify 7^2*7^9 divided by 7^14 and answer it in exponential form?
Is your answer to problem 1a greater than, less than or equal to the answer in
the Example? Why?
Answer:
You forgot to put the picture please redo and ill edit my answer
Step-by-step explanation:
Shane rare book collection contains 40 books. He donates 20% of his books to the national libary. he sells 1/4 of his books to a rare book dealer. the remaining he sells online. how many books did he sell online? NO LINKS!
A:8
B:10
C:18
D: 22
13.On many multiple-choice tests, 1 point is given for each correct
answer and 0.25 point is taken away for every wrong answer.
(This is to discourage guessing.) Answers that are left blank
do not affect the score. Gloria scored 62 on a test with 100
questions. Let C be the number of questions Gloria correctly
answered and let W be the number of wrong answers she had.
Give three possible pairs of values of C and W.
b. Write an equation that describes all possible solutions.
c. Graph all possible solutions.
a.
Please help me with this i will give you brainlesist
Answer: 4
pls give brainliest
I NEED HELP ASAP PLS!!!!!!!!!!!
Answer:
-2x-0.7
Step-by-step explanation:
for me that is the best answer
what single decimal multiplier would you use to decrease by 2% followed by a 7% decrease?
9514 1404 393
Answer:
0.9114
Step-by-step explanation:
The multiplier for a series of changes is the product of the multipliers for each of the changes:
(1 -2%)(1 -7%) = (0.98)(0.93) = 0.9114
Kendrick went to the playground. He played on the swings for 30 minutes and went on the slide for 30 minutes. It was 11:15 A.M. when Kendrick left the playground. What time was it when Kendrick arrived at the playground? Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
each face of a cube is a square with a side length of 7 inches what is the total area off all the faces of the cube
Please answer all question
(1)
(a) Use the fact that [tex]\sqrt{x^2} = |x|[/tex] for all [tex]x[/tex]. Since [tex]x\to+\infty[/tex], we have [tex]x>0[/tex] and [tex]|x| = x[/tex].
[tex]\displaystyle \lim_{x\to\infty} \frac{\sqrt{9x^2 - 2}}{x + 4} = \lim_{x\to\infty} \frac{\sqrt{x^2} \sqrt{9 - \frac2{x^2}}}{x + 4} \\\\= \lim_{x\to\infty} \frac{ x \sqrt{9 - \frac2{x^2}}}{x+4} \\\\= \lim_{x\to\infty} \frac{\sqrt{9 - \frac2{x^2}}}{1 + \frac4x} \\\\= \frac{\sqrt9}1 = \boxed{3}[/tex]
(b) This time [tex]x\to-\infty[/tex], so [tex]x < 0[/tex] and [tex]|x| = -x[/tex].
[tex]\displaystyle \lim_{x\to\infty} \frac{\sqrt{9x^2 - 2}}{x + 4} = \lim_{x\to\infty} \frac{\sqrt{x^2} \sqrt{9 - \frac2{x^2}}}{x + 4} \\\\= \lim_{x\to\infty} \frac{ \boxed{-x} \sqrt{9 - \frac2{x^2}}}{x+4} \\\\= (-1) \times \lim_{x\to\infty} \frac{\sqrt{9 - \frac2{x^2}}}{1 + \frac4x} \\\\= -\frac{\sqrt9}1 = \boxed{-3}[/tex]
(c) We immediately have
[tex]\displaystyle \lim_{x\to\infty} (x - \sqrt x) = \boxed{\infty}[/tex]
since [tex]x > \sqrt x[/tex] for all [tex]x > 1[/tex].
(d) Introduce a difference of squares by factoring in the limand's conjugate. The rest mirrors what we did in (a)/(b).
[tex]\displaystyle \lim_{x\to\infty} \left(\sqrt{x^2 + 12x} - x\right) = \lim_{x\to\infty} \frac{\left(\sqrt{x^2+12x} - x\right) \left(\sqrt{x^2+12x} + x\right)}{\sqrt{x^2 + 12x} + x} \\\\ = \lim_{x\to\infty} \frac{\left(\sqrt{x^2+12x}\right)^2 - x^2}{\sqrt{x^2+12x}+x} \\\\ = \lim_{x\to\infty} \frac{12x}{\sqrt{x^2+12x}+x} \\\\ = \lim_{x\to\infty} \frac{12}{\sqrt{1 + \frac{12}x} + 1} = \frac{12}{\sqrt1 + 1} = \boxed{6}[/tex]
(e) Divide through by the highest-degree exponential term.
[tex]\displaystyle \lim_{x\to\infty} \frac{12e^{2x} - 3e^{3x}}{2e^{2x} + 4e^{3x}} = \lim_{x\to\infty} \frac{12e^{-x} - 3}{2e^{-x} + 4} = \frac{0 - 3}{0 + 4} = \boxed{-\frac34}[/tex]
(2) By definition of the derivative, we have
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{f(x+h) - f(x)}h[/tex]
For [tex]f(x) = \sqrt{x^2+1}[/tex], the limit becomes
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{\sqrt{(x+h)^2+1} - \sqrt{x^2+1}}h[/tex]
Factor in the conjugate.
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{\left(\sqrt{(x+h)^2+1} - \sqrt{x^2+1}\right) \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}{h \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}[/tex]
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{\left(\sqrt{(x+h)^2+1}\right)^2 - \left(\sqrt{x^2+1}\right)^2}{h \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}[/tex]
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{\bigg((x+h)^2+1\bigg) - (x^2+1)}{h \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}[/tex]
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{2xh + h^2}{h \left(\sqrt{(x+h)^2+1} + \sqrt{x^2+1}\right)}[/tex]
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{2x + h}{\sqrt{(x+h)^2+1} + \sqrt{x^2+1}}[/tex]
[tex]\implies \boxed{f'(x) = \displaystyle \lim_{h\to0} \frac{x}{\sqrt{x^2+1}}}[/tex]
(3) The tangent line to
[tex]y = \frac1{x^2+1}[/tex]
at the point (2, 1/5) has slope equal to the derivative [tex]\frac{dy}{dx}[/tex] when [tex]x = 2[/tex]. Compute the derivative; since [tex]y = \frac1{f(x)^2}[/tex] where [tex]f(x)[/tex] is the function from the previous problem, using the chain rule gives
[tex]y = \dfrac1{f(x)^2} \implies \dfrac{dy}{dx} = -\dfrac{2f'(x)}{f(x)^3} = -\dfrac{2 \times \frac{x}{\sqrt{x^2+1}}}{\left(\sqrt{x^2+1}\right)^3} \\\\ \implies \dfrac{dy}{dx} = -\dfrac{2x}{(x^2+1)^2}[/tex]
The tangent line at (2, 1/5) then has slope
[tex]\dfrac{dy}{dx}\bigg|_{x=2} = -\dfrac{2\times2}{(2^2+1)^2} = -\dfrac4{25}[/tex]
Using the point-slope formula, the equation of the tangent line is
[tex]y - \dfrac15 = -\dfrac4{25} (x - 2) \implies \boxed{y = -\dfrac{4x - 13}{25}}[/tex]
The sum of 12 and 30 multiplied by 6
Answer:
Step-by-step explanation:
12*30=360
360/6=60
Hello can some one please help me
Answer:
1
Step-by-step explanation:
This one once learned is clapz. Anything to the zero power is 1. ;)
A jacket is on sale for 15% off. If
the original price is $165, how much
would you save by buying it on sale?
A. $ 15.00
B. $ 24.75
C. $140.25
D. $189.75
E. $247.50
Answer:
$24.75
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 165 × 15/100
Discount = 165 x 0.15
You save = $24.75
Final Price = Original Price - Discount
Final Price = 165 - 24.75
Final Price = $140.25
Two rules for creating a pattern are given below.
Rule 1: Divide x by 4 to get y.
Rule 2: Subtract 18 from x to get y.
Which ordered pair, (x,y), works for both rules?
Choose 1 answer:
(Choice A)
(24,6)
(Choice B)
(30,12)
(Choice C)
(32,8)
Applying the rules, it is found that ordered pair (24,6), option A, works for both rules.
---------------------
The rule 1 is that y is x divided by 4, that is:
[tex]y_1 = \frac{x}{4}[/tex]
The rule 2 is that y is x subtracted from 18, that is:
[tex]y_2 = x - 18[/tex]
In item A, we have that the input x = 24, thus, the results of the expressions are:
[tex]y_1 = \frac{24}{4} = 6[/tex]
[tex]y_2 = 24 - 18 = 6[/tex]
In both cases, ordered pair (24,6), thus option A is the answer.
A similar problem is given at https://brainly.com/question/22103476
Two trains leave the same city at a right angle to each other and continue in straight lines. Train B travels 5 mph faster than train A. After two hours, they are 50 miles apart. Determine the speed of each
train.
Answer:
Let A have speed 'a.' Remember distance is rate times time, and the Pythagorean theorem. We then have (2a)^2+(2(a+5))^2=50^2. a=15, so the other rate is 20.
Step-by-step explanation:
