The square of z varies inversely as the square root of e. If z=36 when w=16, then value of z is 24 when w=81.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The square of z varies inversely as the square root of e.
If z=36 when w=16
The value of z when w is 81 we need to find
z²=k/√e
where k is a proportionality constant
36²=k/√16
36²=k/4
Apply cross multiplication
1296(4)=k
5184=k
Now let us find when k is 5184 and w is 81
z²=5184/9
z²=576
Take square root on both sides
z=24
Hence, the value of z is 24 when w is 81.
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2logb - 3logb = log8b - log4b
Answer:
b=1/2
Step-by-step explanation:
2logb - 3logb = log8b - log4b
log[tex]b^{2}[/tex] - log[tex]b^{3}[/tex] = log8b - log4b
log([tex]\frac{1}{b}[/tex]) = log(2)
∴1/b = 2
∴b = 1/2
find the value of x (URGENT/GIVING BRAINLIEST)
Answer:
B) 24
Step-by-step explanation:
Those are alternate interior angle which mean they are congruent or equal to each other
2x=48 divide
48÷2=24
Answer:
B) 24
step by step:
2x = 48 ( two straight lines are parallel forming and the internal stagger angle is equal)
The area of a rectangle is represented by 12n2 - 19n - 21. If the width is 3n - 7, which expression represents the perimeter?
A. 7n - 4
B. 7n+4
C. 14n -8
D. 14n +8
Answer:
C 14n - 8
Step-by-step explanation:
rectangle area = length×width = 12n²-19n-21
width = 3n-7
what do we need to multiply with width to get the full area expression ?
think : what do we need to multiply with 3n to get 12n² (4n)?
and what to multiply with -7 to get -21 (3)?
=> length = 4n+3
perimeter is 2×length + 2×width
p = 2(3n-7) + 2(4n+3) = 6n-14+8n+6 = 14n-8
Factorise 5x + 10=
ᴘʟᴀʏɪɴɢ: Who Asked (Feat: Nobody did ) ───────────⚪────── ◄◄⠀▐▐⠀►:/:⠀───○
Answer:
5(x+2)
Step-by-step explanation:
5x + 10=
Factor out 5
5(x+2)
Answer:
[tex]5(x + 2)[/tex]
Step-by-step explanation:
Get 5 out
[tex]5x + 10 \\ 5(x + 2)[/tex]
Questlon 18 of 25
Joanne and Betty have a combined age of 41 years. If Joanne is 17 years old,
how old is Betty?
Answer here
SUBMIT
Answer:
24
Step-by-step explanation:
betty age = 41 - 17
= 24
Help me plz I’m too slow for this
Answer:
160 units²
Step-by-step explanation:
Surface area of the square pyramid = a² + 2al
Where,
a = side length of the square = 8
l = slant height of the triangular face = 6
Plug in the values
Surface area of the square pyramid = 8² + 2*8*6
= 64 + 96
= 160 units²
You randomly draw a marble from a bag of marbles that contains 888 blue marbles, 555 green marbles, and 888 red marbles.
Answer:
whats the question?
Step-by-step explanation:
Solve for x 11^x/11^3=11^2 PPEASE I HAVE AN F
Check all of the correct names for the object pictured below.
Answer:
VU,UV, and probably VU just pick 3 answers cause there is 6 questions in all but i hope these answers help u have a nice day too.
Step-by-step explanation:
। Find the H.C. F. of :
x2+ 2xy+y and 3ax+3ay
Answer:
Factorizing 4x2 - 9y2, we get
(2x)2 - (3y)2, by using the identities of a2 - b2.
= (2x + 3y) (2x - 3y)
Step-by-step explanation:
f(x) = 3x + 4 is y =
Solve for x in the diagram below
Answer:
26.67
Step-by-step explanation:
Pls help me I need the answer ASAP no rocky. What is the median of the data set
Answer:
go back in the lesson and relearn this is 6th grade work
This makes no sense, I don’t understand
Answer:
the range where we see the function is between x=0 and x=7
its B
A is impossible btw, no number is smaller or equal to 0 AND bigger or equal to 7
please brainliest
What am I supposed to do
Answer:
answer is b
Step-by-step explanation:
I'm smart bro
Answer:
b
Step-by-step explanation:
When a particular type of thumbtack is dropped, it will land point up (A flat-top thumbtack resting on its flat top) or point down (A flat-top thumbtack resting on the edge of its flat top and the tip of its needle). This experiment was repeated times with the following results: point up: 48 times; point down: 52 times.
a. What is the experimental probability that a particular type of thumbtack will land point up?
b. What is the experimental probability that a particular type of thumbtack will land point down?
c. If the experiment was tried another 100 times would the same results occur? Why?
d. Is it expected that nearly the same results occur on a second trial? Why?
Answer:
0.48
0.52
No
Yes
Step-by-step explanation:
Result of experiment :
Point up = 48
Point down = 52
Total number of trials = 100
Recall :
Experimental probability = number of outcomes / number of trials
1.)
P(Landing point up) = 48 / 100 = 0.48
2.)
P(Landing point down) = 52 / 100 = 0.52
3.)
The same result will not occur has the outcomes of trials aren't fixed.
4.) Yes, nearly the same result could occur on the second trial, as the number of possible outcubes are just 2 and the number if trials is high.
Solve the following inequality: 3-5x-x^2>=0
Answer:
-5/2+-1/2√37≤x≤-5/2+1/2√37
Step-by-step explanation:
Step 1: Find the critical points
-x^2-5x+3=0
For this equation: a=-1, b=-5, c=3
−1x^2+−5x+3=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(−1)(3)/2(-1)
x=5±√37 /−2
x=-5/2+1/2√37
Step 2: Check intervals in between critical points
x≤-5/2+1/2 √37 (Doesn't work in original inequality)
-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)
x≥-5/2+1/2 √37 (Doesn't work in original inequality)
I need help asap i will give brainlist
PLEASE HELP QUICKLYYYY
9514 1404 393
Answer:
x = 48
Step-by-step explanation:
The sum of the angles in a pentagon is 540°, so you have ...
90° +100° +110° +2x° +3x° = 540°
5x = 240 . . . . . . . divide by °, subtract 300
x = 48 . . . . . . . . . divide by 5
_____
Additional comment
The sum of angles in a convex n-gon is (n -2)×180°. For a pentagon, that's 3×180° = 540°.
Please help will mark BRAINLIEST!
=====================================================
Explanation:
We have n = 5 sides. This means the interior angles sum up to...
S = 180(n-2)
S = 180(5-2)
S = 180(3)
S = 540
All five interior angles of this pentagon add up to 540 degrees.
Which of the following functions is graphed below?
A.y=[x+5]+4
B.y=[x+5]-4
C.y=[x-5]+4
D.y=[x-5]-4
Evaluate + for x = 6, y=-4, and z=-2.
09
0 27
0-9
0-27
Answer:
-27
Hope this helped in anyway
Answer:
the answer to this is -27.
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have side
lengths 1 cm?
Answer:
First one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Pls help math NO LINKS
If Anna's test grades are 66, 90, and 99, what is her test average?
Answer:
90 because it is the mean
Answer: it’s 83%
Step-by-step explanation: you add them up and divide by 3
You want to buy a pair of shoes that usually cost $100. Today the store is
having a sale: 20% off everything.
You also have a coupon that
promises 10% off the price at the
register. How much do you save? *
Pls help and pls show how you got it! I am very confused.
Thank you
Answer:
You saved $30
Step-by-step explanation:
20% + 10% = 30%
30% = 0.30
$100 * 0.30 = $30
$100 - $30 = $70
Hope this is helpful
You buy items costing $1000 and finance the cost with a fixed installment loan for 30
months at 4% simple interest per year.
a. What is the finance charge?
b. What is your monthly payment?
Answer:
The monthly payments will be $ 36.66, and the finance charge will be $ 100.
Step-by-step explanation:
Since I buy items costing $ 1000 and finance the cost with a fixed installment loan for 30 months at 4% simple interest per year, to determine what is the finance charge and what is my monthly payment, the following calculations must be performed:
1 year = 12 months
30 months / 12 = 2.5 years
(1000 x (1 + (0.04 x 2.5))) / 30 = X
(1000 x (1 + 0.1) / 30 = X
(1000 x 1.1) / 30 = X
1100/30 = X
36,666 = X
Therefore, the monthly payments will be $ 36.66, and the finance charge will be $ 100.
lim┬(x→0)〖(√(1+x+x^2 )-1)/tan5x 〗
Evaluting the limand directly at x = 0 yields the indeterminate form 0/0, so we have a candidate for L'Hopital's rule. We get
[tex]\displaystyle\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \lim_{x\to0}\frac{\frac{1+2x}{2\sqrt{1+x+x^2}}}{5\sec^2(5x)} = \frac{1+2\times0}{2\sqrt{1+0+0^2}\times5\sec^2(5\times0)} = \boxed{\dfrac{1}{10}}[/tex]
If you don't know about L'Hopital's rule, or are otherwise not allowed to use it, you can instead rely on algebraic manipulation and a well-known limit,
[tex]\displaystyle\lim_{x\to0}\frac{\sin(ax)}{ax}=\lim_{x\to0}\frac{ax}{\sin(ax)}=1[/tex]
where a ≠ 0. We write
[tex]\displaystyle\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \frac{5x}{\sin(5x)}\times\frac{\cos(5x)}5\times\frac{\sqrt{1+x+x^2}-1}x[/tex]
The limit of a product is equal to the product of limits:
[tex]\displaystyle\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \left(\lim_{x\to0}\frac{5x}{\sin(5x)}\right)\times\left(\lim_{x\to0}\frac{\cos(5x)}5\right)\times\left(\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}x\right)[/tex]
The first limit is 1 and the second limit is 1/5. For the remaining limit, multiply through the fraction by the conjugate of the numerator:
[tex]\dfrac{\sqrt{1+x+x^2}-1}x\times\dfrac{\sqrt{1+x+x^2}+1}{\sqrt{1+x+x^2}+1} = \dfrac{\left(\sqrt{1+x+x^2}\right)^2-1^2}{x\left(\sqrt{1+x+x^2}+1\right)} \\\cdots= \dfrac{x+x^2}{x\left(\sqrt{1+x+x^2}+1\right)} \\\cdots= \dfrac{1+x}{\sqrt{1+x+x^2}+1}[/tex]
The remaining limand is continuous at x = 0, and its limit is
[tex]\displaystyle\lim_{x\to0}\frac{1+x}{\sqrt{1+x+x^2}+1}=\frac{1+0}{\sqrt{1+0+0^2}+1}=\frac12[/tex]
and hence the original limit is again 1 × 1/5 × 1/2 = 1/10.
2. Which of the following epxressions is a monomial?
a.
3.4x
b. 9-3(5x)+13a
c. 5(2x+l+y)
d. 2a+5(4x)
Answer:
a.3.4x
Step-by-step explanation:
A monomial only had one term
mono is the prefix for one
Lin's father is paying for a $25 meal. He has a 15%-off coupon for the meal. After the discount, a 8% sales tax is applied.
What does Lin's father pay for the meal?
Solve for 20 points and show work