Replace x with -11 and solve:
Y = (-11)^2 + 11
(-11)^2 = 121
Y = 121 + 11
Y = 132
Answer: 132
Answer:
132
Step-by-step explanation:
y = x^2 +11
Let x = -11
y = (-11)^2 +11
= 121+11
= 132
the cost of an article is Rs 10,000 and it is sold at same profit. if a customer bought it for Rs 12430 with 13% VAT calculate the profit percent on the article.
Answer:
Percentage profit = 11.3%
Step-by-step explanation:
Given the following data;
Vat = 13% = 13/100 = 0.13Cost price = 10,000Selling price = Rs 12430To calculate the profit percentage on the article;
First of all, we would determine the value-added (vat) tax levy;
Vat levy = 0.13 * 10000
Vat levy = Rs. 1300
Profit = selling price - cost price
Profit = 12430 - 10000
Profit = 2430
Profit after vat;
Profit after vat = Profit - Vat levy
Profit after vat = 2430 - 1300
Profit after vat = 1130
Next, we would calculate the profit percentage on the article;
[tex] Percentage \; profit = \frac {Profit \; after \; vat}{Cost \; price} * 100 [/tex]
Substituting the values into the formula, we have;
[tex] Percentage \; profit = \frac {1130}{10000} * 100 [/tex]
[tex] Percentage \; profit = \frac {113000}{10000} [/tex]
Percentage profit = 11.3%
Find the value of x
.
Answer:
x=3
Step-by-step explanation:
The middle is the average of the top and bottom since it divides the sides into equal parts
(23+ 11x+2)/2 = 29
Multiply each side by 2
(23+ 11x+2) = 58
25+11x = 58
11x = 58-25
11x = 33
Divide by 11
11x/11 = 33/11
x=3
convert r=2sin(2theta) into rectangular cords.
Answer:
[tex](x^2+y^2)^3 = 16x^2y^2[/tex]
Step-by-step explanation:
We want to convert the polar equation:
[tex]\displaystyle r = 2 \sin 2\theta[/tex]
To rectangular form.
Recall the double-angle identity for sine:
[tex]\displaystyle \sin 2\theta = 2\sin\theta\cos\theta[/tex]
Hence:
[tex]\displaystyle r = 4\sin\theta\cos\theta[/tex]
Since x = rcosθ and y = rsinθ:
[tex]\displaystyle r = 4\left(\frac{x}{r}\right)\left(\frac{y}{r}\right)[/tex]
Multiply:
[tex]\displaystyle r = \frac{4xy}{r^2}[/tex]
Recall that x² + y² = r². Hence:
[tex]\displaystyle r = \frac{4xy}{x^2 + y^2}[/tex]
By squaring both sides:
[tex]\displaystyle r^2 = \frac{16x^2y^2}{(x^2+y^2)^2}[/tex]
Substitute:
[tex]\displaystyle x^2+y^2 = \frac{16x^2y^2}{(x^2+y^2)^2}[/tex]
And multiply. Therefore:
[tex](x^2+y^2)^3 = 16x^2y^2[/tex]
Please help me to get its HCF
Answer:
x²+x+1
Step-by-step explanation:
1st one,
x³-1
= (x-1)(x²+x+1)
2nd one,
x⁴+x²+1
= x⁴+x³-x³+x²+x²-x²+1+x-x
= x⁴+x³+x²-x³-x²-x+x+x²+1
= x²(x²+x+1)-x(x²+x+1)+(x²+x+1)
= (x²+x+1)(x²-x+1)
3rd one,
x³+1+2x²+2x
= x³+x²+x²+x+x+1
= x³+x²+x+x²+x+1
= x(x²+x+1)+(x²+x+1)
= (x²+x+1)(x+1)
So, here the common part among these three is,
x²+x+1, so it's the H.C.F.
you've been given 500 for your fencing
Answer: ok?
Step-by-step explanation:
find the missing side of the triangle.
Answer:
x = 17
Step-by-step explanation:
x ^2 = 8^2+ 15^2
√x^2 =√64+225
x=17
Answer:
17cm.
Step-by-step explaination:
The given triangle is a right angled triangle.
Using Pythagorean Theorem,
a² + b² = c²
Putting the given values in the equation;
(15)² + (8)² = c²
225 + 64 = c²
289 = c²
17² = c² (square root of 289 = 17)
17 = c
c = 17
Therefore, the missing side of the triangle is equal to 17 cm.
Which is the graph of f(x) = (2)* ?
Answer:
the graph of f(x)=×2 called a parabola
find the value of a) 4:12
Step-by-step explanation:
1:4 bcos u need to divide both sides by 4
Find m so that the equation msin²x+cos²x=m-1 has a solution on the interval (0;π/4)
msin²x+cos²x=m-1
since the interval are 0 and π/4
Therefore
msin²(0)+cos²(0)=m-1
m(0)+1=m-1
1=m-1
m=2
use π/4 now
msin²(π/4)+cos²(π/4)=m-1
m(1/2)+(1/2)=m-1
m+1=2(m-1)
m+1=2m-2
-m=-3
m=3
Therefore
m=2 or 3
Answer please be quick
Answer:
B
Step-by-step explanation:
The correct answer is B
please help me in this questions....
Part (i)
I'm going to use the notation T(n) instead of [tex]T_n[/tex]
To find the first term, we plug in n = 1
T(n) = 2 - 3n
T(1) = 2 - 3(1)
T(1) = -1
The first term is -1
Repeat for n = 2 to find the second term
T(n) = 2 - 3n
T(2) = 2 - 3(2)
T(2) = -4
The second term is -4
Answers: -1, -4==============================================
Part (ii)
Plug in T(n) = -61 and solve for n
T(n) = 2 - 3n
-61 = 2 - 3n
-61-2 = -3n
-63 = -3n
-3n = -63
n = -63/(-3)
n = 21
Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).
Answer: 21st term===============================================
Part (iii)
We're given that T(n) = 2 - 3n
Let's compute T(2n). We do so by replacing every copy of n with 2n like so
T(n) = 2 - 3n
T(2n) = 2 - 3(2n)
T(2n) = 2 - 6n
Now subtract T(2n) from T(n)
T(n) - T(2n) = (2-3n) - (2-6n)
T(n) - T(2n) = 2-3n - 2+6n
T(n) - T(2n) = 3n
Then set this equal to 24 and solve for n
T(n) - T(2n) = 24
3n = 24
n = 24/3
n = 8
This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.
Answer: 8please answer and no links please ....
Step-by-step explanation:
ℎ = -4, -3×(-4)+2 = 12+2 = 14
ℎ = -2, -3×(-2)+2 = 6+2 = 8
ℎ = 0, -3×0+2 = -3+2 = 2
ℎ = 3, -3×3+2 = -9+2 = -7
ℎ = 5, -3×5+2 = -15+2 = -13
what is the relationship that have the same rate of change
Answer:
I don't really know sorry
HELPPPPPPPPPPPPPPPP:))))))
Answer:
Step-by-step explanation:
Since T is in Quadrant II, sinT > 0 and cosT < 0.
cotT = -5/12
Find the measures of the indicated angle
Answer:
76
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin ? = 32/33
Taking the inverse sin of each side
sin ^-1( sin ?) = sin^-1 (32/33)
? =75.85888
To the nearest degree
? = 76
Simplify: 0.9(2b-1)-0.5b+1
Answer:
Step-by-step explanation:
0.9*2b = 1.8b
0.9*-1 = -0.9
So far we have 1.8b-0.9. It can't be simplified further.
Then, we add the 2nd part, -0.5b+1.
We have:
1.8b-0.9-0.5b+1. Next we combine like terms.
1.8b-0.5b = 1.3b.
-0.9+1 = 0.1
Then we put it together.
1.3b+0.1 is our answer.
Hope this helped! Have a nice day :D
Hi there!
»»————- ★ ————-««
I believe your answer is:
1.3b + 0.1
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying...}}\\\\0.9(2b-1)-0.5b+1\\--------------\\\rightarrow 1.8b - 0.9 - 0.5b + 1\\\\\rightarrow 1.8b - 0.5b - 0.9 + 1\\\\\rightarrow \boxed{1.3b +0.1}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
sat prep find the value of x in each of the following exercises
Answer:
x=70
Step-by-step explanation:
Since the lines are parallel, we know angle y
60 and y are alternate interior angles and alternate interior angles are equal when the lines are parallel
y=60
The sum of the angles of the triangle are 180
x+y = 50 =180
x+60+50 =180
x+110 = 180
x = 180-110
x = 70
Answer:
x=70 degrees!!!
Step-by-step explanation:
Given that the lines are parallel, we can deduce the measure of angle y. As per the property of alternate interior angles, angle y and the given angle measuring 60° are equal when two lines are parallel. Hence, y = 60°.
Now, considering the triangle, the sum of its interior angles is always 180°. Let's set up an equation to find the measure of angle x:
x + y + 50 = 180
Since we know y = 60°, we can substitute the value and simplify:
x + 60 + 50 = 180
Combining like terms:
x + 110 = 180
To find x, we subtract 110 from both sides:
x = 180 - 110
After calculation, we get:
x = 70°
Therefore, the measure of angle x is 70°.
what expression represents 19 more than 6 times a number, n
1. 19n+6
2. 6n-19
3.6n+19
4.19n-6
Answer:
6n+19
Step-by-step explanation:
6 times a number, n
6n
19 more
6n+19
Answer:
6n + 19
Step-by-step explanation:
Since the expression is 6 times n
We need to have 6 x n or simply just 6n
Since the expression is 19 more than 6n
We need to have 6n + 19
Solve the simultaneous equation, will give out brainliest answer
a=bcd
a+b=cd
a+b+c=d
a+b+c+d=1
Answer:
a=1/2,b=-1,c=-1 and d=1/2
Am I right please?
Answer:
a = 1/42; b = 1/7; c = 1/3; d = 1/2
Step-by-step explanation:
a = bcd
a + b = cd
a + b + c = d
a + b + c + d = 1
d + d = 1
2d = 1
d = 1/2
2a = bc
2a + 2b = c
2a + 2b + 2c = 1
bc + 2b = c
bc + 2b - c = 0
bc + 2b + 2c = 1
-3c = -1
c = 1/3
a + b = cd
a + b = 1/6
a = bcd
a = b(1/3)(1/2)
a = 1/6 b
1/6 b + b = 1/6
7/6 b = 1/6
b = 6/42
b = 1/7
a = 1/6 b
a = 1/6 * 1/7
a = 1/42
Find a 2-digit number smaller than 50, the sum of whose digits does not change after being multiplied by a number greater than 1
The only 2-digit number that is lesser than 50 and the sum of its digits remain unaffected despite being multiplied by a number < 1 would be '18.'
To prove, we will look at some situations:
If we add up the two digits of 18. We get,
[tex]1 + 8 = 9[/tex]
And we multiply 18 by 2 which is greater than 1. We get,
[tex]18[/tex] × [tex]2 = 36[/tex]
The sum remains the same i.e. [tex]3 + 6 = 9[/tex]
Similarly,
If 18 is multiplied to 3(greater than 1), the sum of the two digits comprising the number still remains the same;
[tex]18[/tex] × [tex]3 = 54[/tex]
where (5 + 4 = 9)
Once more,
Even if 18 is multiplied to 4 or 5(greater than 1), the sum of its digits will still be 9.
[tex]18[/tex] × [tex]4 = 72[/tex]
[tex](7 + 2 = 9)[/tex]
[tex]18[/tex] × [tex]5 = 90[/tex]
[tex](9 + 0 = 9)[/tex]
Thus, 18 is the answer.
Learn more about 'numbers' here: brainly.com/question/1624562
What is the surface area of the cylinder?
•9377 ft2
•5787 ft2
•1,156 ft2
•2891 ft2
Answer:
3631.681108 ft^2
Step-by-step explanation:
The surface area of a cylinder is
SA = 2pi r^2 + 2pi r h where r is the radius and h is the height
= 2pi (17)^2 + 2 pi (17)(17)
= 578pi +578pi
= 1156pi
Approximate pi with the pi button
3631.681108 ft^2
A 32-ft pipe must be cut into three pieces. The longest piece will be twice as long as the shortest piece, and the medium-sized piece will be 4 feet longer than the shortest piece. Find the length of each piece of pipe.
Answer:
7, 11, 14 feet from shortest to longest
Step-by-step explanation:
Let's say that the shortest pipe is equal to x, and work from there.
The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x
The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.
The three pieces added up make up the 32 feet pipe, so we can write this as
(2*x) + (4+x) + x = 32
2*x + 4 + x + x = 32
4 * x + 4 = 32
subtract 4 from both sides to isolate the x and its coefficient
4 * x = 28
divide both sides by 4 to isolate the x
x= 7
Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long
62+2{56/(4 multipied by 2)-5
Answer:
Hence The Answer is 66.
Step-by-step explanation:
I Hope It Helps You.
• • •
The simplified expression is 99.3333 (rounded to four decimal places).
To simplify the expression 62 + 2{56/(4 multiplied by 2) - 5}, we'll follow the order of operations (also known as PEMDAS).
First, within the innermost parentheses, we have 4 multiplied by 2, which equals 8. Then, we subtract 5 from 8, resulting in 3.
Next, we have 56 divided by 3, which equals 18.6667 (rounded to four decimal places).
Now, we'll move to the outer set of curly braces. We multiply 18.6667 by 2, giving us 37.3333 (rounded to four decimal places).
Finally, we add 62 to 37.3333, resulting in 99.3333 (rounded to four decimal places).
To learn more about expressions click on,
https://brainly.com/question/19555499
#SPJ2
Complete question is:
Simplify 62+2{56/(4 multipied by 2)-5.
Please help quick! ASAP please!
Answer:
11.55
Step-by-step explanation:
Comparing Ratios
Which ratios are less than 8 to 10? Check all that apply.
16
20
3:5
50
100
13.15
Answer:
3/5 and 50/100
Step-by-step explanation:
changing the ratios into fractions are an easy way to check,
8/10 = 0.8
16/20 = 0.8
3/5 = 0.6
50/100 = 0.5
13/15 = ~0.8666
13. A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S) = 0.31. They have also determined that the probability that someone has lung
cancer, given that they are a smoker is P(LCS) = 0.226. What is the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer
P(SnLC)?
-0.08
-0.73
-0.25
-0.07
=======================================================
Work Shown:
S = person is a smokerLC = person has lung cancerP(S) = 0.31 = probability someone is a smokerP(LC given S) = probability someone has lung cancer, given they are a smokerP(LC given S) = 0.226Use that given info to say the following:
P(LC given S) = P(LC and S)/P(S)
P(LC and S) = P(LC given S)*P(S)
P(LC and S) = 0.31*0.226
P(LC and S) = 0.07006
P(LC and S) = 0.07
This problem is an example of using conditional probability.
I used "and" in place of the intersection symbol [tex]\cap[/tex]
Saying P(LC and S) is the same as P(S and LC). The order doesn't matter.
help me yall please i have untill friday to get 60 lessons done
Answer: First Choice. 5²*x
Step-by-step explanation:
Definition:
When a number is squared in math, it means it's been multiplied by itself. There would be a (2) signifier as a subscript on the number.
Times in mathematics stands for multiplied by.
Solve:
" Five Squared Times Four"
Five = 5
Squared = ²
Times = ×
Four = 4
Finally, combined together will be:
5² · xHope this helps!! :)
please let me know if you have any questions
Which angles are adjacent to each other?
Angle 8 and Angle 5
Angle 4 and Angle 6
Angle 5 and Angle 3
Angle 11 and Angle 8
Answer:
Angle 8 and angle 5 are the adjacent to each other
Can you answer me this question please? I have doubts. Thank you
Answer:
9Step-by-step explanation:Step-by-step explanation:you have 2 bars right ? the taller one has a frequency of 12 Step-by-step explanation:you have 2 bars right ? the taller one has a frequency of 12 so the half of the taller one is 6 which is smaller than the 2nd one right ? so the frequency of the smaller one is surely greater than half of the big which is 6 so the frequency should be from 6 upwards .....
8. Tianna and Liam charge for tutoring.
Tianna's charges a base fee of $40, and $10 per hour of tutoring.
Liam charges $20 per hour of tutoring.
a. State an algebraic model for each tutor to represent the relationship between the total charge and
time. Use C to represent total charge ($) and t for time (hours).
.