Answer:
P= 300000/60
= 5000watt
single letter means watt
In a student council election Kyle receives 120 votes for president. If Kyle receives 60% of the votes, how many students vote in the election?
Answer:
200 students vote in the election
Step-by-step explanation:
We know
120 votes = 60%
1% = 2 votes
To find how many students vote in the election, we take
2 x 100 = 200 votes
So, 200 students vote in the election
Solve for x in the triangle round your answer to the nearest tenth
Answer:
x ≈ 27.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 10
Step 2: Solve for x
Substitute in variables [tangent]: tan70° = x/10[Multiplication Property of Equality] Multiply 10 on both sides: 10tan70° = xRewrite: x = 10tan70°Evaluate: x = 27.4748Round: x ≈ 27.5again my sisters overdue test someone pls just help I’m doing my math and art homework and can’t help her jggvgrcrvgb
Answer:
She should get $23.6 in change
Step-by-step explanation:
You add the two items she bought which makes up $89.94, then you subtract the discount of $13.50, which leaves you with 76.44 to pay. If you pay with a 100 dollar bill, you subtract 76.44 from 100 in order to find out how much change you recieve.
Answer:
Step-by-step explanation:
100-((39.95+49.99)-13.50)=
100-(89.94-13.50)=
100-76.44=
23.56
You have to add the amount she is paying for the total then subtract that by the discount. Then subtract how much she gave them by the cost to get the change!
you pack sandwiches for a mountain hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich.
How many slices of bread are used for n hikers?
\([Hello,BrainlyUser]\)
Answer:
2n
Step-by-step explanation:
You pack sandwiches for a mountain hike with your friends.
Each [ meaning 1] sandwich takes 2 slices of bread.
If each hiker eats one sandwich, and there are 'n' hikers
Thus, to find the number of breads used for 'n' hikers, we multiplied 2 by n
Hence, the expression will be 2n
[CloudBreeze]
Given the following systems of equations,
x1+2x2+3x3=2
x2-x3=8
x1+2x2+x3=4
1. write the equations using matrix notation.
2. solve for x3 using Cramer’s rule.
1. [1 2 3] [x1] [2]
[0 1 -1] [x2] = [8]
[1 2 1] [x3] [4]
2. x3 equals to -11/3.
To solve for x3 using Cramer's rule, we need to find the determinant of the coefficient matrix and then form three additional matrices by replacing the third column of the coefficient matrix with the constants vector. The determinant of the coefficient matrix is:
| 1 2 3 |
| 0 1 -1 |
| 1 2 1 | = 1(1-4)-2(3-1)+3(2-2) = -3
Next, we form three matrices by replacing the third column of the coefficient matrix with the constants vector:
[1 2 2] [2]
[0 1 8] = [8]
[1 2 4] [4]
[1 2 3] [2]
[0 1 -1] = [8]
[1 2 1] [4]
[1 2 3] [2]
[0 1 -1] [8]
[1 2 4] [4]
The determinants of these matrices are:
| 1 2 2 | | 1 2 3 | | 1 2 3 |
| 0 1 8 | = -4| 0 1 -1 | = -3| 0 1 -1 | = 11
| 1 2 4 | | 1 2 1 | | 1 2 4 |
Therefore, x3 can be calculated as:
x3 = Det(B)/Det(A) = 11/-3 = -11/3
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13. A discount retail store gives a 8% discount
to senior citizens. If a customer who is a senior
citizen wants to purchase an item that costs
$34.50, what is the final cost after the discount
is applied?
Answer:
the final cost is $31.74
How many sets of four consecutive positive integers are there such that the product of the four integers is less than $100,\!000$
Answer:
16,17,18,19
Step-by-step explanation:
one guy guessed. probably using a calculator
another guy took the 4th root of 100,000 and rounded down a number
(a third way started like this
n*(n+1)*(n+2)(n+3)=100000
The area of a rectangular garden is given by the quadratic function: A (x) = -6x^2 + 105x– 294
When asked to find the possible length and width of the garden, Joe said the length was - 6x + 21 and
the width was x - 14. Bree answered the same question by saying the length was -3x + 42 and the
width was 2x – 7.
Who is correct and why?
Answer:
Bree is correct
Step-by-step explanation:
Given
Area of rectangle;
\(A (x) = -6x^2 + 105x - 294\)
Joe's Result:
\(Length = -6x + 21\\Width = x - 4\)
Bree' Result
\(Length = -3x + 42\\Width = 2x - 7\)
Required
Determine whose result is correct and why.
To determine the correct result, we simply find the roots of the quadratic function
\(A (x) = -6x^2 + 105x - 294\)
Such that A(x) = 0
\(-6x^2 + 105x - 294 = 0\)
Start Factorization;
Expand
\(A (x) = -6x^2 + 105x - 294\)
Group the above expression in 2s
\(A(x) = (-6x^2 + 84x) + (21x - 294)\)
Factorize
\(A(x) =2x(-3x + 42) -7 (-3x + 42)\)
\(A(x) = (2x - 7)(-3x + 42)\)
Recall that; Area of a rectangle is calculated by;
\(A(x) = Length * Width\)
By comparison;
\(Length = 2x - 7\\Width = -3x + 42\)
At this point, we can conclude that Bree's computation is correct;
Reason
The product of (-3x + 42) and (2x – 7) will result in the given area of the rectangle
Find the volume of a hemisphere when the diameter is 24 cm
Answer:
3619.6cm^3
Step-by-step explanation:
Given data
Daimeter= 24cm
Radius= 12cm
The formula for finding the volume of the hemisphere is given below
V = 2/3*π*r³
Substitute
V= 2/3*3.142*12^3
V= 2/3*3.142*1728
V= 10858.752/3
V=3619.6cm^3
Hence the volume is 3619.6cm^3
Akeem created a list by correctly putting a group of fraction in percentage and decimals order from least to greatest valve which list could be the one Akeem created
List could be the one Akeem created is option D . 0.21 22% 1/4 0.35 3/8 38%.
Given:
Akeem created a list by correctly putting a group of fraction in percentage and decimals order from least to greatest value.
Least to greatest value:
Option D :
0.21 22% 1/4 0.35 3/8 38%
= 22 %
= 22 / 100
= 0.22
1/4 = 0.25
3/8 = 0.375
38 = 38 / 100
= 0.38
0.21 < 0.22 < 0.25 < 0.35 < 0.375 < 0.38.(least to greatest)
Hence Option D is correct.
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Full question:
Is in the image uploaded.
square room is covered by a number of whole rectangular slabs of sides Calculate the least possible area of the room in square metres (3mks )
The least possible area of the room in square metres is Nlw, where N is the smallest integer that satisfies the equation LW = Nlw.
Let the length, width, and height of the square room be L, W, and H, respectively. Let the length and width of each rectangular slab be l and w, respectively. Then, the number of slabs required to cover the area of the room is given by:
Number of Slabs = (LW)/(lw)
Since we want to find the least possible area of the room, we can minimize LW subject to the constraint that the number of slabs is an integer. To do so, we can use the method of Lagrange multipliers:
We want to minimize LW subject to the constraint f(L,W) = (LW)/(lw) - N = 0, where N is a positive integer.
The Lagrangian function is then:
L(L,W,λ) = LW + λ[(LW)/(lw) - N]
Taking partial derivatives with respect to L, W, and λ and setting them to zero yields:
∂L/∂L = W + λW/l = 0
∂L/∂W = L + λL/w = 0
∂L/∂λ = (LW)/(lw) - N = 0
Solving these equations simultaneously, we get:
L = sqrt(N)l
W = sqrt(N)w
Therefore, the least possible area of the room is:
LW = Nlw
where N is the smallest integer that satisfies this equation.
In other words, the area of the room is a multiple of the area of each slab, and the least possible area of the room is obtained when the room dimensions are integer multiples of the slab dimensions.
Therefore, the least possible area of the room in square metres is Nlw, where N is the smallest integer that satisfies the equation LW = Nlw.
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Can you guys help me with this question?
Answer:
it represents 10 stars in the galaxies
Step-by-step explanation:
10 to the power of 12 would be 1,000,000,000,000, 10 to the power of 11 would be 100,000,000,000, and those two number divided equals simply 10.
Find the measure of 21. Justify your answer.
75°
2
1
m
Answer:
∠ 1 = 75°
Step-by-step explanation:
∠ 1 and 75° are corresponding angles and are congruent , then
∠ 1 = 75°
In the following hypothetical example, a researcher applies varying amounts of fertilizer (0, 2, 4, 8, 10 units) to potted tomato plants. All other variables that may affect the outcome (watering, temperature, sunlight, plant size, etc.) are kept the same from pot to pot. At the end of the growing season, the tomatoes grown on each plant are weighed to determine which fertilizer level produces the largest tomato yield. Which variable was the independent variable and which was the dependent variable
Which question is a statistical question? A Which U.S. States have mountains?Which U.S. States have mountains? B Which mountain range do U.S. Citizens most enjoy visiting?Which mountain range do U.S. Citizens most enjoy visiting? C How many mountain ranges are in the U.S.?How many mountain ranges are in the U.S.? D How tall is the tallest mountain in the U.S.?
Answer: C. How many mountain ranges are in the U.S.
Step-by-step explanation:
A statistical question first of all has to have a quantitative response i.e., answers should be in numbers.
The only two questions here that would yield a numeric answer are options C and D.
Furthermore, a statistical question has variability in it which means that the answer is based on multiple observations not just one. The observations in option C are mountain ranges and as the question requires finding out details about multiple mountain ranges, this is a statistical question.
This is opposed to option D which addresses issues surrounding just one mountain.
helllllpppppppp plzpzlzpzlz
Answer:
b
Step-by-step explanation:
my teacher went over the same on with me
Help now plz asphejdjdb
Answer:
l:4
w: 3
l:4
w:1
Step-by-step explanation:
Hope this helps
Suppose a coin is tossed n times. If P(H) = p (P(T) = 1-p) is the probability that we get
heads, what is the probability that I observe an even number of H’s (heads) when n coins
are tossed.
Hint: Let B(n) the probability of the event that an even number of heads are observed, when
n coins are tossed. This probability is the probability that the last coin is a tail times the
probability of the event that an even number of heads are observed on the previous n-1 coins,
plus, the probability that the last coin is a head times the probability of the event that we
observe an odd number of heads on the previous n-1 coins.
Thus B(0) = 1, B(1) =1-p,
a) Write the probability of the event B(n) as a recursive equation in terms of B(n-1).
b) Write a recursive algorithm to calculate B(n) for arbitrary n and p and give the worst-
case scenario.
c) Write a Dynamic Programming algorithm to calculate B(n) for arbitrary n and p and
determine the worst-case.
d) Is the DP approach better? Please explain.
The probability of the event B(n) as a recursive equation in terms of B(n-1) is:
$$B(n) = (1 - p)B(n - 1) + p(1 - B(n - 1))$$b)
Recursive Algorithm to calculate B(n) for arbitrary n and p:```
Function getProbabilty(n, p)
if n == 0 then
return 1
else if n == 1 then
return (1 - p)
else
return (1 - p)*get Probability (n - 1, p) + p*(1 - getProbability(n - 1, p))
end if
End Function
```
The worst-case scenario is O(2^n).c) Dynamic Programming Algorithm to calculate B(n) for arbitrary n and p:```
Function getProbabilityDP(n, p)
B[0] = 1
B[1] = 1 - p
for i = 2 to n do
B[i] = (1 - p)*B[i - 1] + p*(1 - B[i - 1])
end for
return B[n]
End Function
```
The worst-case scenario is O(n).d) Yes, the DP approach is better than the recursive approach. The recursive approach has a worst-case time complexity of O(2^n), which is exponential and inefficient for large values of n. The DP approach, on the other hand, has a worst-case time complexity of O(n), which is linear and much more efficient.
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Decide whether this statement is "always, sometimes, or never"
"A parallelogram has all congruent angles"
Always
Sometimes
Never
Triangles E F G and K L M are shown. Angles E F G and K L M are congruent. The length of side K L is 6, the length of side M L is 5, and the length of K M is 8. The length of E G is 24, the length of G F is 15, and the length of E F is 18.
Can the triangles be proven similar using the SSS or SAS similarity theorems?
Yes, △EFG ~ △KLM only by SSS.
Yes, △EFG ~ △KLM only by SAS.
Yes, △EFG ~ △KLM by SSS or SAS.
No, they cannot be proven similar by SSS or SAS
Based on the given information, we cannot prove that △EFG and △KLM are similar using the SSS or SAS similarity theorems. The correct answer is option D) No, they cannot be proven similar by SSS or SAS.
To determine if the triangles △EFG and △KLM can be proven similar using the SSS (Side-Side-Side) or SAS (Side-Angle-Side) similarity theorems, we need to compare their corresponding sides and angles.
SSS Similarity Theorem states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.
SAS Similarity Theorem states that if two corresponding sides of two triangles are proportional, and the included angles are congruent, then the triangles are similar.
Let's examine the given information:
Side lengths of △EFG: EF = 18, EG = 24, FG = 15.
Side lengths of △KLM: KL = 6, KM = 8, LM = 5.
By comparing the side lengths, we can see that they are not proportional. For example, the ratio of EF/KL is 18/6 = 3, while the ratio of EG/KM is 24/8 = 3. Therefore, the corresponding sides of △EFG and △KLM are not proportional, which means we cannot establish similarity using the SSS theorem.
Now, let's consider the SAS theorem. For this, we also need to compare the included angles.
Angles of △EFG: ∠EFG, ∠EFG, ∠EGF.
Angles of △KLM: ∠KLM, ∠KML, ∠KLM.
The given information states that ∠EFG and ∠KLM are congruent. However, we don't have any information about the other angles. Without knowing the congruency of the remaining angles, we cannot establish similarity using the SAS theorem
Option D.
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Answer: Its C
Step-by-step explanation:
This is a 3 part question, PLEASE HELP ILL GIVE BRAINLY
Answer:
Angle of A = 90 degree-62 degree = 28 degree.
Step-by-step explanation:
tan (62) = opposite / adjacent = 10 / a ---> a = 10/tan (62) = 10/ 1.88 = 5.319
cos (62) = a/c --->c = a/cos (62) = 5.319 / 0.47 = 5.3 / 0.47 = 11.3
or another way.
sin (62) = 10 /c ---> c = 10/ sin (62) = 10 / 0.88 = 11.3
So Angle of A = 28 degree.
a = 5. 3
c = 11.3.
please give me brainliest. I hope it help.
PLEASE HELP ASAP
Please
Answer:
1. 10
2. 12.3
3. 34.5
and this will be the correct answer.
Smith City received 2. 45 inche of rain on Monday and 1. 72 inche of rain on Tueday. Write an equation howing a way to etimate to the nearet inch the total rainfall for the two day
an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches
1. Add the two amounts of rainfall together: 2.45 + 1.72
2. Round the answer to the nearest inch: 4.2 inches
3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.
This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.
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the sum of 47 and 39 is 22 more than a number. what is the number?
Answer: 64
Step-by-step explanation:
(47 + 39) - 22
= 86 - 22
= 64
Use the trapezoidal rule, the midpoint rule, and simpson's rule to approximate the given integral with the specified value of n. (round your answers to six decimal places.) 4 6 ln(x) dx, 1 n = 6
The specified value of n for trapezoidal rule, the midpoint rule, and simpson's rule is 10.36 , 10.72 and 10.52.
Trapezoidal Rule: In Calculus, “Trapezoidal Rule” is one of the important integration rules. The name trapezoidal is because when the area under the curve is evaluated, then the total area is divided into small trapezoids instead of rectangles. This rule is used for approximating the definite integrals where it uses the linear approximations of the functions.
The trapezoidal rule is mostly used in the numerical analysis process. To evaluate the definite integrals, we can also use Riemann Sums, where we use small rectangles to evaluate the area under the curve.
Midpoint rule : In mathematics, the midpoint rule, also known as the midpoint Riemann sum or midpoint method, is a method of estimating the integral of a function or the area under a curve by dividing the area into rectangles of equal width. The midpoint rule formula is. The midpoint method formula works by summing the areas of each of the rectangles to produce an estimate for the area under a curve.
Simpson's Rule: Simpson's rule is used to find the value of a definite integral (that is of the form b∫ₐ f(x) dx) by approximating the area under the graph of the function f(x). While using the Riemann sum, we calculate the area under a curve (a definite integral) by dividing the area under the curve into rectangles whereas while using Simpson's rule, we evaluate the area under a curve is by dividing the total area into parabolas. Simpson's rule is also known as Simpson's 1/3 rule (which is pronounced as Simpson's one-third rule).
Now,
a=1,b=4,Δx =(b-a)/n =3/6 =1/2
f(x)=4√(ln(x))
trapezoidal rule:
∫4√(ln(x)) dx =(Δx /2)[f(1)+2*[f(1.5)+f(2)+f(2.5)+f(3)+f(3.5)]+f(4)]
∫4√(ln(x)) dx =((1/2) /2)[4√(ln(1)) +2*[4√(ln(1.5)) +4√(ln(2)) +4√(ln(2.5)) +4√(ln(3)) +4√(ln(3.5))] +4√(ln(4))]
∫4√(ln(x)) dx =10.365336
midpoint rule :
∫4√(ln(x)) dx =(Δx)[f(1.25)+f(1.75)+f(2.25)+f(2.75)+f(3.25)+f(3.75)]]
∫4√(ln(x)) dx =(1/2)[4√(ln(1.25)) +4√(ln(1.75)) +4√(ln(2.25)) +4√(ln(2.75)) +4√(ln(3.25)) +4√(ln(3.75)) ]
∫4√(ln(x)) dx =10.724182
simpsons rule:
∫4√(ln(x)) dx =(Δx /3)[f(1)+4*f(1.5)+ 2*f(2)+ 4*f(2.5)+ 2*f(3)+ 4*f(3.5)]+f(4)]
∫4√(ln(x)) dx =((1/2) /3)[4√(ln(1)) +4*4√(ln(1.5)) + 2*4√(ln(2)) +4*4√(ln(2.5)) +2*4√(ln(3)) + 4*4√(ln(3.5)) +4√(ln(4))]
∫4√(ln(x)) dx =10.527905
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Find the next three terms in the sequence. 24,20,16,12…. (If you could explain it that would be great too. It’s a bit confusing)
Answer:
the next three numbers should be 8, 4, 0
Step-by-step explanation:
it reduces by 4 each time
24 - 4 = 20
20 - 4 = 16
16 - 4 = 12
12 - 4 = 8
8 - 4 = 4
4 - 4 = 0
First term =a=24
common difference=d=20-24=-4
Formula
a_n=24-4(n-1)a_5
24-4(4)8a_6
24-5(4)4a_7
24-6(4)0Triangle rst is rotated 180° about the origin, and then translated up 3 units. Which congruency statement describes the figures? δrst ≅ δacb δrst ≅ δabc δrst ≅ δbca δrst ≅ δbac.
Triangle RST is rotated 180° about the origin, and then translated up 3 units. Then , ΔRST ≅ ΔBAC
We know that To rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y).
Thus, The coordinates of triangle RST becomes
R (1,1) → R'(-1,-1)
S (3,4) → S'(-3,-4)
T(-5,0) → T'(5,0)
Also ΔRST after rotation is translated up 3 units. , so we apply the rule (x,y)→(x,y+3)
R'(-1,-1)→R"(-1,-1+3)=R"(-1,2)→ B
S'(-3,-4) → S"(-3,-4+3) = R"(-3,-1) → A
C'(-5,0) → C"(-5,0+3) → C"(-5,3) → C
As rotation and translation both are rigid transformation that maps only congruent figures.
Therefore, ΔRST ≅ Δ BAC
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hi i need help the question says
the length of a rectangle is one less than double the width . if the perimeter is 70 find the width
15 points please help
Step-by-step explanation:
let's just write it down in mathematical notation :
length = 2×width - 1
the perimeter is the way all around an object.
so, for a rectangle that is
2×length + 2×width
for our rectangle here
2×length + 2×width = 70
now we use the original identity of length via width and get
2×(2×width - 1) + 2×width = 70
4×width - 2 + 2×width = 70
6×width - 2 = 70
6×width = 72
width = 12
FYI
length = 2×width - 1 = 2×12 - 1 = 24 - 1 = 23
The equation of the line through (3, - 4) with slope 2/3
35+34
HE HE HE
STOP HERE AND ANSWER
I TOLD YOU TO STOP
FINE, YOUR FUNERAL!
69
69 (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x)