Answer:
30 wats due to electrocorrespond period of time
Step-by-step explanation:
according to plan b ratio 89 quart to a million
Power usage over time can be approximated by a Riemann sum or computed exactly by integrating the function representing the power usage. For the given 10-hour data, the total power usage can be estimated by summing up the products of the power usage and time interval.
Explanation:The power use of a customer over a 30-day period is given by a continuous function P = f(t), and we are asked to find the total number of kilowatt-hours used by the customer using Riemann sums and an exact formula.
A Riemann sum would be an approximation of the definite integral of the function P(t) from 0 to the total hours in a 30-day period, which can be obtained by adding up the products of the function values and the time intervals over the period. However, this is only an approximation because the actual power usage P may change within each time interval.The total number of kilowatt-hours can be computed exactly, without approximation, by integrating the function P(t) from 0 to the total hours in a 30-day period. This would give the exact total power usage because the integral essentially sums up all the instantaneous power usage over time, taking into account all the variations of P within each time interval.For the given power usage data over a 10-hour period, one can estimate the total power usage by using the Riemann sum, which is the sum of the products of the given power usages and the respective time intervals, i.e., 1 hour each.Learn more about Power usage calculation here:https://brainly.com/question/32137172
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write down the value of the 1 in 213,456
Step-by-step explanation:
The value of the digit 1 in the number 213,456 is 10,000.
HOMEWORK HELP PLEASE !!! THANKS
Find the x-intercepts and y-intercept of the following function.
f(x) = (x+9) (x +9) (x-8)
Answer:
To find the x-intercepts, we set y = 0 and solve for x:
f(x) = (x+9) (x+9) (x-8) = 0
The solutions are x = -9 (double root) and x = 8.
To find the y-intercept, we set x = 0:
f(0) = (0+9) (0+9) (0-8) = -583.
Therefore, the y-intercept is (0, -583).
Find the derivative of f(x)=(3x^2-4x+1)^4
Step-by-step explanation:
[tex]f'(x)=[(3x^2-4x+1)^4]'=4(3x^2-4x+1)^3*(3x^2-4x+1)'=4(3x^2-4x+1)^3*(6x-4)=8(3x^2-4x+1)^3(3x-2);[/tex]
The required derivative of f(x) = (3x² - 4x + 1)⁴ is f'(x) = 4(3x² - 4x + 1)³ * (6x - 4)
We can use the chain rule and power rule of differentiation to find the derivative of f(x).
Let u = 3x² - 4x + 1, then we have:
f(x) = u⁴
Using the chain rule, we get:
f'(x) = 4u³ * u'
To find u', we can differentiate u with respect to x using the power rule:
u' = d/dx (3x² - 4x + 1) = 6x - 4
Substituting u' and u into f'(x), we get:
f'(x) = 4(3x² - 4x + 1)³ * (6x - 4)
Therefore, the derivative of f(x) = (3x² - 4x + 1)⁴ is f'(x) = 4(3x² - 4x + 1)³ * (6x - 4)
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Please help with problems 1-7 please
The probability of drawing a red or green M&M is 29/74.
The probability of drawing an M&M that is not blue or green is 36/74.
the probability of drawing an M&M that is not brown is 69/74.
The probability of drawing a red or green M&M is the sum of their probabilities, since they are mutually exclusive events (meaning that an M&M can't be both red and green at the same time):
P(red or green) = P(red) + P(green) = 8/74 + 21/74 = 29/74
The probability of drawing an M&M that is not blue or green is the complement of the probability of drawing a blue or green M&M:
P(not blue or green) = 1 - P(blue or green) = 1 - (P(blue) + P(green)) = 1 - (17/74 + 21/74) = 36/74
The probability of drawing an M&M that is not brown is the complement of the probability of drawing a brown M&M:
P(not brown) = 1 - P(brown) = 1 - 5/74 = 69/74
To determine which is more likely, drawing a red M&M or drawing an orange M&M, we need to compare their probabilities:
P(red) = 8/74
P(orange) = 12/74
Since 12/74 is greater than 8/74, it is more likely to draw an orange M&M than a red M&M.
The color with the highest chance of being drawn is the one with the highest probability, which is green with a probability of 21/74.
The probability of drawing any M&M is 1, since there is a 100% chance of drawing an M&M when you draw from the bag.
Probability is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.
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Multiplication 1 x 1/6 =
Answer:
1/6
Step-by-step explanation:
1 x 1/6 = 1/6
Any number multiplied with one is that number itself.
1/6
Step-by-step explanation: Anything multiplied by 1 equals itself, therefore, the answer is 1/6. Hope this helps, and please give me Brainliest! :)
help me- Name the triangle with the following characteristics. sides: 5 cm, 6 cm, 7 cm; Angles: 75° and 60°.
A) acute scalene triangle
B) acute isosceles triangle
C) obtuse scalene triangle
D) right isosceles triangle
Answer
I think it's acute scalene triangle
Step-by-step explanation:
All the angles are less than 90 degrees, which is acute.
Cindy is designing a rectangular fountain in the middle of a courtyard. The rest of the courtyard will be covered in stone.The part of the courtyard that will be covered in stone has an area of 246 square feet. What fraction of the area of the courtyard will be occupied by the fouantain.
The fountain will occupy a fraction of 50/173 of the Total area of the courtyard.
Let A be the area of the courtyard and F be the area of the fountain.
We know that the area of the stone-covered part of the courtyard is 246 square feet.
So, the area of the whole courtyard is A = 246 + F square feet.
The fraction of the area of the courtyard occupied by the fountain is given by:
F / A = F / (246 + F)
We can simplify this expression by multiplying the numerator and denominator by the reciprocal of the denominator:
F / A = F / (246 + F) * (1 / (246 + F))
F / A = F / (246 * (246 + F))
F / A = 1 / (246 / F + 1)
We don't know F yet, but we can use the fact that the fountain is rectangular to set up an equation relating the length and width of the fountain:
F = L * W
where L is the length of the fountain and W is the width of the fountain.
We also know that the perimeter of the fountain is 50 feet:
2L + 2W = 50
Simplifying this equation, we get:
L + W = 25
Solving for one variable in terms of the other, we get:
L = 25 - W
Substituting this expression for L into the equation for F, we get:
F = (25 - W) * W
Expanding this expression, we get:
F = 25W - W^2
We also know that the cost of the fountain is $600, which includes installation. So, we can set up another equation relating the cost of the fountain to its dimensions:
1.5LW = 600
Substituting 25 - W for L, we get:
1.5(25 - W)W = 600
Expanding and simplifying this equation, we get:
W^2 - 25W + 400 = 0
Solving this quadratic equation, we get:
W = 20 or W = 5
We reject the solution W = 5 because it implies a negative length for the fountain, which is not physically possible. Therefore, the width of the fountain is W = 20 feet and its length is L = 25 - W = 5 feet.
The area of the fountain is therefore:
F = L * W = 5 * 20 = 100 square feet
The fraction of the area of the courtyard occupied by the fountain is
F / A = 100 / (246 + 100) = 100 / 346 = 50 / 173
So, the fountain will occupy a fraction of 50/173 of the total area of the courtyard.
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Given: OA = AC = 2
AB is a tangent line to k(O)
Find: AB
Answer:
AB = 2√3 units-----------------------
Tangent is perpendicular to radius, hence ΔAOB is right triangle.
Given that OA = AB, and we know OA = OC as two radius. Therefore OAC is equilateral triangle, hence all its angles are same:
m∠AOC = 180°/3 = 60°It means ΔOAB is a specific 30x60x90 right triangle.
The ratio of its sides is:
OA : AB : OB = 1 : √3 : 2It gives us that:
AB = OA√3AB = 2√33. Which of the following is equivalent to 5/x= 3/x-12
Answer: 5(x - 12) = 3x
Step-by-step explanation:
We can cross-multiply to answer this question.
[tex]\frac{5}{x} =\frac{3}{x-12}[/tex]
5 * (x - 12) = 3 * x
5(x - 12) = 3x
Answer:
b) 5(x - 12) = 3x
Step-by-step explanation:
Given expression,
→ 5/x = 3/(x - 12)
Now we have to,
→ Find the equivalent expression.
Let's find the required answer,
→ 5/x = 3/(x - 12)
Cross multiplying both sides:
→ 5(x - 12) = 3(x)
→ 5(x - 12) = 3x
Applying Distributive property:
→ 5(x) - 5(12) = 3x
→ 5x - 60 = 3x
Solving for the value of x:
→ 5x - 3x = 60
→ 2x = 60
→ x = 60/2
→ [ x = 30 ]
Hence, the value of x is 30.
In 60
60
seconds, Darrell walks 90
90
meters.
Select the two answers that describe the unit rate at which he walks.
CLEAR CHECK
1.5
1
.
5
seconds per meter
1.5
1
.
5
meters per second
90
90
meters per second
112
1
1
2
meters every second
30
30
meters every second
30
30
seconds per meter
The two answers that describe the unit rate at which Darrell walks are 1.5 seconds per meter and 1.5 meters per second
To find the unit rate at which Darrell walks, we need to determine how many meters he walks per second. We are given that he walks 90 meters in 60 seconds.
Step 1: Divide the total distance by the total time to find the unit rate.
Unit rate = (total distance) / (total time)
Step 2: Plug in the given values and calculate.
Unit rate = 90 meters / 60 seconds
Step 3: Simplify the fraction.
Unit rate = 1.5 meters per second
The two answers that describe the unit rate at which Darrell walks are:
1. 1.5 meters per second
2. 30 seconds per meter (the reciprocal of the unit rate)
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5.5B + 4R = 28
7.
The above equation is true if Amit buys B pounds
of blueberries and R pounds of raspberries at a farm
where blueberries cost $5.50 per pound and
raspberries cost $4.00 per pound. According to the
equation, how much does Amit spend in total on
both types of berries?
A. $9.50
B. $22.00
C. $28.00
D. $56.00
Answer: $28.00 (C)
Step-by-step explanation:
The total is 28 (based on the equation).
No matter how many blueberries or raspberries Amit buys, the toal must equal 28 dollars.
Calculate the interest of an investment of $3500 at 2.75% for 3 years.
Use the functions:
A = P (1+r/n)nt and A = Pe rt
Fill out the table below for given values.
A =
P =
r = (as decimal)
t =
Answer: We can use both formulas to calculate the interest on an investment of $3500 at 2.75% for 3 years.
Using the formula A = P(1+r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate as a decimal, n is the number of times interest is compounded per year, and t is the time in years, we have:
A = 3500(1+0.0275/1)^(1*3) ≈ $3843.84
Therefore, the interest earned is:
Interest = A - P = $3843.84 - $3500 = $343.84
Using the formula A = Pe^(rt), where A is the final amount, P is the principal amount, r is the annual interest rate as a decimal, t is the time in years, and e is the mathematical constant approximately equal to 2.71828, we have:
A = 3500e^(0.0275*3) ≈ $3843.84
Therefore, the interest earned is:
Interest = A - P = $3843.84 - $3500 = $343.84
The interest earned is $343.84 in both cases.
△DOG triangle, D, O, G, find DG
Round your answer to the nearest hundredth.
A right triangle D O G. Angle D O G is a right angle. Angle D G O is seventy-two degrees. Side D G is unknown. Side D O is eight point two units.
Answer:100
Step-by-step explanation:
PLEASE ANSWER URGENTLY
Drag the tiles to the correct boxes to complete the pairs. Match the y-coordinates with their corresponding pairs of x-coordinates on the unit circle.
the x coordinates are matched as follows
For y = √110/11 x = ± 1/√(11)
For y = 7/11 x = ± 6√(2) /11
For y = 5/11 x = ±4√(6) /11
For y = 9/11: x = ±2√(10) /11
How to find the x valuesUsing the equation of the unit circle
x² + y² = 1
For y = √110 / 11
x² + (√110/11)² = 1
x² + 110/121 = 1
x² = 1 - 110/121
x² = 11/121
x = ±√(11)/11
x = ± 1/√(11)
For y = 7/11
x² + (7/11)² = 1
x² + 49/121 = 1
x² = 1 - 49/121
x² = 72/121
x = ±√72/11
x = ± 6√(2) /11
For y = 5/11
x² + (5/11)² = 1
x² = 1 - 25/121
x² = 96/121
x = ±4√(6) /11
For y = 9/11
x² + (9/11)² = 1
x² = 1 - 81/121
x² = 40/121
x = ±√40/11
x = ±2√(10) /11
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Factor out the greatest common factor.
polynomial.
3
2x³ - 10
The greatest common factor of the given polynomial is 2, so we can factor it out to get: 2(x³ - 5)
We have to factories 2x³ - 10
So, 2x³ = 2 . x . x . x
10 = 2 . 5
Then, 2x³ - 10
= 2. x . x . x - 2. 5
= 2( x . x .x - 5)
= 2 (x³ - 5)
The greatest common factor of the given polynomial is 2, so we can factor it out to get: 2(x³ - 5)
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1+1
Wrong answers only
URGENT
Georgia will use the pattern shown to make a square pyramid out of cardboard. The square pyramid will not have a bottom.
A net of a square pyramid. The square base has side lengths of 9 inches. The triangular sides have heights of 14 inches.
How much cardboard will she need if a = 14 in. and b = 9 in.?
Group of answer choices
378 square inches
630 square inches
504 square inches
252 square inches
Georgia will need [tex]\(\boxed{333}\)[/tex] square inches of cardboard to construct the square pyramid.
To calculate the amount of cardboard needed to construct the square pyramid, we need to find the surface area of each individual face and then add them together.
Given that the base of the pyramid is a square with side length [tex]\(b = 9\) inches[/tex] and the height of the triangular sides is [tex]\(a = 14\) inches[/tex], we can proceed as follows:
The surface area of the square base is [tex]\(b^2 = 9^2 = 81\)[/tex] square inches.
Each triangular face has a base equal to the side length of the square base, [tex]\(b = 9\) inches[/tex], and a height of [tex]\(a = 14\) inches[/tex]. Therefore, the surface area of each triangular face is [tex]\(\frac{1}{2} \times b \times a = \frac{1}{2} \times 9 \times 14 = 63\)[/tex] square inches.
Since there are four triangular faces in a square pyramid, the total surface area of the triangular faces is [tex]\(4 \times 63 = 252\)[/tex] square inches.
Adding the surface area of the square base and the total surface area of the triangular faces, we get [tex]\(81 + 252 = 333\)[/tex] square inches.
Therefore, Georgia will need [tex]\(\boxed{333}\)[/tex] square inches of cardboard to construct the square pyramid.
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Pls I need help asap
13
5^2+12^=169
square root of 169=13
if the triangle wasnt a right angled triangle it would equal to 13 and would give u something else
A right triangle has side lengths d, e, and fas shown below.
Use these lengths to find cosx, tanx, and sinx.
2
f
d
COSX =
tanx =
sinx =
0
0
0
Answer:
cos(x) = f/etan(x) = d/fsin(x) = d/eStep-by-step explanation:
You want to find the values of cos(x), tan(x), and sin(x) in right triangle DEF as shown in the figure.
Trig relationsThe relationships between trig functions and sides of a right triangle are summarized in the mnemonic SOH CAH TOA. This tells you ...
Cos = Adjacent/Hypotenuse
cos(x) = f/e
Tan = Opposite/Adjacent
tan(x) = d/f
Sin = Opposite/Hypotenuse
sin(x) = d/e
<95141404393>
HELP PLEASE its worth 30 points
Answer:
i'm pretty sure it is "the graph forms a parabola"
Step-by-step explanation:
what's 1=7 x 67.8=75+90
The solutions of the given equations are x = 0 and x = -36.
We have,
To solve these equations:
9x - 7 = -7
We can add 7 to both sides to isolate the variable:
9x - 7 + 7 = -7 + 7
Simplifying the left-hand side and the right-hand side, we get:
9x = 0
Finally, dividing both sides by 9, we get:
x = 0
Next, to solve:
-1 = 5 + x/6
We can begin by subtracting 5 from both sides:
-1 - 5 = 5 + x/6 - 5
Simplifying the left-hand side and the right-hand side, we get:
-6 = x/6
Finally, multiplying both sides by 6, we get:
-36 = x
Thus,
The solutions of the given equations are x = 0 and x = -36.
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The complete question.
9x - 7 = -7
-1 = 5 + x/6
Explain why every positive number has two square roots.
Answer:
Squaring positive and negative numbers always yields a positive number; the product of two negative numbers is always a positve number. Using √4 as an example, we know the positive answer is 2 since 2 * 2 = 4. However, the negative answer is -2 since -2 * -2 = 4 also.
Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. Stocks pay 6.7 % interest, bonds pay 2.5 % interest, and CDs pay 5.75 % interest. Maricopa Success invests $ 10000 more in bonds than in CDs. If the annual income from the investments is $ 6977.5 , how much was invested in each account?
Maricopa Success invested $ in stocks.
Maricopa Success invested $ in bonds.
Maricopa Success invested $ in CDs.
Answer:
stocks: $45000bonds: $55000CDs: $45000Step-by-step explanation:
You want to know the amounts invested in stocks, bonds, and CDs when the total investment is $145000, $10000 more is invested in bonds than CDs, earnings are $6977.50, and rates of return are 6.7% for stocks, 2.5% for bonds, and 5.75% for CDs.
SetupWe can write three equations in 3 unknowns for this problem. Let s, b, c represent amounts invested in stocks, bonds, and CDs, respectively. Then the problem statement tells us the relations are ...
s + b + c = 145000b - c = 100000.067s +0.025b +0.0575c = 6977.50SolutionThese equations can be solved using any of several methods. The second equation offers a nice relation between b and c, so substitution for one or the other of those will reduce the equations to two equations in two unknowns.
We prefer a calculator solution using an augmented matrix of the coefficients. That is shown in the attachment. It tells us the investment amounts are ...
stocks: $45000bonds: $55000CDs: $45000__
Additional comment
Using b = c +10000, the two remaining equations are ...
s +2c = 1350000.067s +0.0825c = 6727.50<95141404393>
Find the area under the curve y = 2x4x from 0 to 1. guys pls help me thank you
pls check photo for question
Solve for a side in right triangles
The value of the hypotenuse AB is 4.73 units.
Given is right triangle, we need to find the measure of side AB,
So, we know that the Sine of an angle is the ratio of the perpendicular side to the hypotenuse of the triangle,
So,
Sin A = BC / AB
Sin 25° = 2 / AB
AB = 2 / Sin 25°
AB = 4.73
Hence the value of the hypotenuse AB is 4.73 units.
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Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.
The total area of the figure is 50.13 square units.
How to find the area of the figure shown?We can decompose the figure into a rectangle of 12 by 3 units, and a semicircle whose radius is 3 units.
Remember that the area of a rectangle is equal to the product between its dimensions, then the area of the rectangle we will get.
A = 12*3 = 36 square units.
For a semicircle of radius R, the area is:
a = 0.5*3.14*R²
Here the radius is 3 units, then.
a = 0.5*3.14*3² = 14.13 square units.
Adding that we will get:
total area = 36 square units + 14.13 square units.
total area = 50.13 square units.
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this is my question
The quotient evaluated in 7 is equal to the quotient of the two functions evaluated in 7, thus:
(f/g)(7) = f(7)/g(7) = 3
How to find the value of (f/g)(7)?Here we know the functions:
f(x) = 2x + 1
g(x) = x - 2
The quotient evaluated in 7 is equal to the quotient between the two functions evaluated in x = 7, then here we will get:
f(7) = 2*7 + 1 = 14 + 1 = 15
g(7) = 7 - 2 = 5
Then the quotient gives:
(f/g)(7) = f(7)/g(7) = 15/5 = 3
That is the value.
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3.4,2/3,2.7, 7,3/4,1 in a number line
Answer:
0 1 2 3 4 5 6 7
| | | | | | | |
2/3 1 2.7 3.4 7 |
|_____________|
|
3 3/4
