[tex]\\ \sf\longmapsto \frac{ - 3}{7} \leqslant - 4x \\ \\ \sf\longmapsto - 3 \leqslant 7( - 4x) \\ \\ \sf\longmapsto - 3 \leqslant - 28x \\ \\ \sf\longmapsto \ 3 \leqslant 28x \\ \\ \sf\longmapsto x \geqslant \frac{3}{28} [/tex]
I am 10% older than my wife,my wife is x% younger than i am find x
You = her*1.1
her = you/1.1 = you*0.9090...
her = you - you*(1 - 0.9090...) = you - you*0.0909...
--> 9.09% younger
x = 9.09
HOPE SO IT HELPS YOU
The required value of x is 0.909.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
Given that,
The husband is 10% older than wife.
And, the wife is x% younger than husband.
Suppose the age of husband is h and of wife be w.
The following equations can be written for the given case,
(h - w)/w × 100 = 10 (1)
And, (h - w)/h × 100 = x (2)
Divide both equations to get,
h/w = 10/x
Equation (1) can be written as,
h/w - 1 = 10
=> 10/x - 1 = 10
=> 10/x = 11
=> x = 10/11
=> x = 0.909
Hence the value of x for the given case is 0.909.
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please help me I need help
Answer:
This is so hard for me. I can't understand. I am in grade 9 now.
3x7-12-2=7?
I have no clue please help...
Answer:
X = 28/3, or 9 1/3 or 9.3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Pass The following Journal Entry .
1. Salaries remaining unpaid Rs.15000 and rent due to landlord Rs.2000
Please This is Accountancy questions Don't spaim
good lesson udayy...........
Step-by-step explanation:
1.→ Salaries A/c Dr. 15,000 To O/s Salaries A/c 15,000→ Rent A/c Dr. 2,000To O/s Rent A/c 2,0001st (´-ω-｀)))。。
Enter a value that would not make relation a function (-4,0),(?,8),(9,0),(-5,2)
Answer:
Step-by-step explanation:
? = -4, 9, or -5
The solution is, b.) y = 2(x+9) ( x - 4) and, c.) y = - 2(x+9) ( x - 4), these function's graph has a zeros at (4,0) and (-9,0).
What are zeros of quadratic function?The zero of the function is where the y-value is zero. The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
here, we have,
from the given the information , we get,
If one zero is x= 4, then one factor of the expression would be (x - 4).
Similarly if another zero is x=-9, then another factor of the expression would be (x+9)
We have two answers with these two factors and both are possible. So, the answers are b and c.
Hence, The solution is, b.) y = 2(x+9) ( x - 4) and, c.) y = - 2(x+9) ( x - 4), these function's graph has a zeros at (4,0) and (-9,0).
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complete question:
Which function's graph has a zeros at (4,0) and (-9,0)?
find the measure of a
Answer:
Hello,
answer D 48°
Step-by-step explanation:
In the right triangle down, a+42°=90° ==> a=90°-42°=48°
Consider the following theorem. Theorem If f is integrable on [a, b], then b a f(x) dx = lim n→[infinity] n i = 1 f(xi)Δx where Δx = b − a n and xi = a + iΔx. Use the given theorem to evaluate the definite integral. 9 (x2 − 4x + 6) dx 1
Split up the interval [1, 9] into n subintervals of equal length (9 - 1)/n = 8/n :
[1, 1 + 8/n], [1 + 8/n, 1 + 16/n], [1 + 16/n, 1 + 24/n], …, [1 + 8 (n - 1)/n, 9]
It should be clear that the left endpoint of each subinterval make up an arithmetic sequence, so that the i-th subinterval has left endpoint
1 + 8/n (i - 1)
Then we approximate the definite integral by the sum of the areas of n rectangles with length 8/n and height [tex]f(x_i)[/tex] :
[tex]\displaystyle \int_1^9 (x^2-4x+6) \,\mathrm dx \approx \sum_{i=1}^n \frac8n\left(\left(1+\frac8n(i-1)\right)^2-4\left(1+\frac8n(i-1)\right)+6\right)[/tex]
Take the limit as n approaches infinity and the approximation becomes exact. So we have
[tex]\displaystyle \int_1^9 (x^2-4x+6) \,\mathrm dx = \lim_{n\to\infty} \sum_{i=1}^n \frac8n\left(\left(1+\frac8n(i-1)\right)^2-4\left(1+\frac8n(i-1)\right)+6\right) \\\\ = \lim_{n\to\infty} \frac8n \sum_{i=1}^n \left(1+\frac{16}n(i-1)+\frac{64}{n^2}(i-1)^2-4-\frac{32}n(i-1)+6\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \sum_{i=1}^n \left(64(i-1)^2-16n(i-1)+3n^2\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \sum_{i=0}^{n-1} \left(64i^2-16ni+3n^2\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \left(64\sum_{i=0}^{n-1}i^2 - 16n\sum_{i=0}^{n-1}i + 3n^2\sum{i=0}^{n-1}1\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \left(\frac{64(2n-1)n(n-1)}{6} - \frac{16n^2(n-1)}{2} + 3n^3\right) \\\\= \lim_{n\to\infty} \frac8{n^3} \left(\frac{49n^3}3-24n^2+\frac{32n}3\right) \\\\= \lim_{n\to\infty} \frac{8\left(49n^2-72n+32\right)}{3n^2} = \boxed{\frac{392}3}[/tex]
Thomas' dog
had 10 puppies. 2
were yellow, 5. were
mixed and the rest
were black. What
decimal represents black dogs out of the total.
black dogs out of
the total?
Answer
0.3
Step-by-step explanation:
what decimal is equivalent to 0.85
Answer: 17/20
Step-by-step explanation:
0.85 = 85/100 = 17/20
The number 0.85 can be written using the fraction 85/100 which is equal to 17/20 when reduced to lowest terms.
Simplify: 41a-2b + 3c) + 11a
Step-by-step explanation:
41a+11a-2b+3c
52a-2b+3c
Step-by-step explanation:
(41a-2b+3c) +11a
open the bracket
41a-2b+3c+11a
collect like terms
41a+11a-2b+3c
52a-5bc
so final answer is 52a-5bc
because they are not like terms they are unlike terms
The employee engagement score for a team was 4.89 this month. The score has been improving at a rate of 12% per month. What was the score 4 months ago?
The engagement score in 4 months would be 7.69
We are to determine the future value of engagement score in 4 months
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value = 4.89
R = rate of increase = 12%
N = number of months = 4
4.89 ( 1.12)^4 = 7.69
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what are the coordinates of A,B and C
Answer:
Please display full question . your question is incomplete ..
Answer:
Step-by-step explanation:
Please display a picture
Show that the points A(2, 2), B(5,7), C(-5, 13), and D(-8, 8) are the vertices of a rectangle.
A. AB = CD = 18; BC = DA = 4
B. AB = CD = 34: BC = DA = V136
C. AC = BD = 170
D. AB = CD = 34: BC = DA = V136; AC = BD = v170
Please select the best answer from the choices provided
Answer:
Step-by-step explanation:
Using V as a substitute for √ is misleading. Better to write “square root of x”.
AC = BD = √170
PRACTICE ANOTHER A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? m (b) How much wire should be used for the square in order to minimize the total area? m
Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
The length of the square must be 4 m in order to maximize the total area.
What are the maxima and minima of a function?When we put the differentiation of the given function as zero and find the value of the variable we get maxima and minima.
We have,
Length of the wire = 18 m
Let the length of the wire bent into a square = x.
The length of the wire bent into an equilateral triangle = (18 - x)
Now,
The perimeter of a square = 4 side
4 side = x
side = x/4
The perimeter of an equilateral triangle = 3 side
11 - x = 3 side
side = (18 - x)/3
Area of square = side²
Area of equilateral triangle = (√3/4) side²
Total area:
T = (x/4)² + √3/4 {(18 -x)/3}² _____(1)
Now,
To find the maximum we will differentiate (1)
dT/dx = 0
2x/4 + (√3/4) x 2(18 - x)/3 x -1 = 0
2x / 4 - (√3/4) x 2(18 - x)/3 = 0
2x/4 - (√3/6)(18 - x) = 0
2x / 4 = (√3/6)(18 - x)
√3x = 18 - x
√3x + x = 18
x (√3 + 1) = 18
x = 18 / (1.732 + 1)
x = 18/2.732
x = 6.58
x = 7
Thus,
The length of the square must be 7 m in order to maximize the total area.
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(PLEASE HELP ITS THE LAST QUESTION)
Find the measure of angle L.
A) 21.6°
B) 43.8°
C) 33.4°
D) 21.9°
Answer:
A
Step-by-step explanation:
lemme meh knw if it was helpful..
Part of the population of 6,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 3 of them are infected. How many elk are likely to be infected?
Answer:
405
Step-by-step explanation:
We can use a ratio to solve
3 infected x infected
------------------ = ----------------
50 sampled 6750 population
Using cross products
3*6750 = 50x
Divide each side by 50
3*6750/50 = x
405
Answer:
Around 405 elk should be infected with the parasite.
Step-by-step explanation:
6,750/50=135
135 * 3 = 405
hope this helps :)
Giải phương trình vi phân cấp 2
Answer:
bajskalakbskajalabsnsja
The measure of one of the small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles.
Answer:
Step-by-step explanation:
A right triangle has one right angle and two acute angles.
A and B are the acute angles.
A+B = 90°
One acute angle is 45 less than twice the other acute angle.
A = 2B-45°
(2B-45°) + B = 90°
3B = 135°
B = 45°
A = 45°
Select the correct answer.
What is V200in simplest form?
OA. 2/10
OB.
1072
O C. 100/2
OD
20/10
Darot
Answer:
It is 10√2
Step-by-step explanation:
[tex] = \sqrt{200} \\ = \sqrt{2 \times 100} \\ = ( \sqrt{2} ) \times ( \sqrt{100} ) \\ = \sqrt{2} \times 10 \\ = 10 \sqrt{2} [/tex]
the lengths of the sides of a triangle are in as ratio 3:4:5., find the lengths of the sides of this triangle if its perimeter is 96 cm
Answer:
24,32,40
Step-by-step explanation:
side 1: side2: side3: total
3 4 5 3+4+5=12
The total is the perimeter = 96
96/12 = 8
Multiply each term by 8
side 1: side2: side3: total
3*8 4*8 5*8 12*8
24 32 40 96
Let the sides of the triangle ABC be 3x , 4x and 5x.
Where x is a multiple.Perimeter of triangle = 3x + 4x + 5x
[tex] \bf \rightarrow \: 96 \: = \: 12x[/tex]
[tex]\bf \rightarrow \: \frac{96}{12} \: = \: x \\ [/tex]
[tex]\bf \rightarrow \: \cancel\frac{96}{12} \: ^{8} \: = \: x \\ [/tex]
[tex]\bf \rightarrow \: x \: = \: 8[/tex]
Required sides are :[tex] \bf \implies \: 3x \: = \: 3 \: \times \: 8 \: = 24[/tex]
[tex]\bf \implies \: 4x \: = \: 4 \: \times \: 8 \: = 32[/tex]
[tex]\bf \implies \: 5x \: = \: 5 \: \times \: 8 \: = 40[/tex]
Hence , the sides of the triangle are 24 , 32 and 40.
The perimeter of a square is 14 cm. Find the area
Step-by-step explanation:
A = 12.25cm2
P perimeter 14cm
Answer:
A=12.25cm²
P=14
Convert the degree measurement to radians. Express answer as multiple of π: - 60°
A. π/3
B. −π/4
C. −π/5
D. −π/3
Answer:
-pi/3
Step-by-step explanation:
To convert from degree to radians, multiply by pi/180
-60 * pi/180 = -60/180 *pi = -pi/3
Answer:
D. -pi/3
Step-by-step explanation:
degree to radians formula: x=degree, x*pi/180
x=-60
-60*pi/180=-pi/3
Simplify the following expression. 12a + 2a
Answer:
[tex]14a[/tex]
Step-by-step explanation:
Combining like-terms gives us [tex]12a+2a=14a[/tex]
Hope this helped!
Answer:
14a
Step-by-step explanation:
Louise has a hard time keeping her workspace clean at her job. She tries, but it just ends up getting messy again. Which of the following is a likely outcome of her consistent messiness? a) She will have fewer safety issues. b) She will feel more productive. c) Customers will think she is very busy. d) She will have a hard time focusing.
(2X²+3X-1)+(X²-2X+3)
Answer:
3x^2+x+2
Step-by-step explanation:
Let's simplify step-by-step.
2x2+3x−1+x2−2x+3
=2x2+3x+−1+x2+−2x+3
Combine Like Terms:
=2x2+3x+−1+x2+−2x+3
=(2x2+x2)+(3x+−2x)+(−1+3)
Can anyone please help me with this ?
Answer:
6.7
Step-by-step explanation:
The formula for volume is V=lwh.
320=(6)(8)x
Solve.
320=48x
Divide both sides by 48.
6.6666666=x
Round to the nearest tenth.
x=6.7
I hope this helps!
pls ❤ and give brainliest pls
Answer:
6.7 =x
Step-by-step explanation:
The volume is given by
V = l*w*h
320 = 8*6*x
320 =48x
Divide each side by 48
320/48 = 48x/48
6.6666666 = x
Rounding to the nearest tenth
6.7 =x
what is equivalent to (160 times243)1/5th
9514 1404 393
Answer:
480
Step-by-step explanation:
The expression evaluates to ...
160·243^(1/5) = 160·(3^5)^(1/5) = 160·3 = 480
(-72)(-15)= explain
How is the graph of y=4(2)^x-3 translated from the graph of y=4(2)^x
Subtracting 3 at the end of the equation shifts the graph down 3 units
Simplify 4^-4.
please help I have 10 minutes
Answer:
1/256
Step-by-step explanation:
[tex]4^{-4}[/tex]
[tex](1/4)^{4}[/tex]
=> 1/256
