Answer:
Step-by-step explanation:
what is the diameter of a hemisphere with a volume of 557 m 3 , 557 m 3 , to the nearest tenth of a meter?
The diameter of the hemisphere with a volume of 557 m³ is approximately 12.8 m, to the nearest tenth of a meter.
The volume of a hemisphere can be calculated using the formula V = (2/3)πr³, where V is the volume and r is the radius. Given that the volume of the hemisphere is 557 m³, we can find the radius by solving for r:
557 = (2/3)πr³
To find the radius, first, we need to isolate r³ by multiplying both sides by 3/(2π):
r³ = (3 * 557) / (2 * π)
r³ ≈ 265.18
Now, take the cube root of both sides to find the radius:
r ≈ 6.4 m
To find the diameter, simply multiply the radius by 2:
d ≈ 2 * 6.4
d ≈ 12.8 m
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Geometry:Finish the coordinate rule for a 90 degree rotation.
(x,y)—>
Answer:
(-y,x) The coordinates are switched and the y becomes a negative.
3. A phone company set the following rate schedule for an m-minute
call from any of its pay phones.
c(m) =
=
0.70
0.70+ 0.24(m - 6)
0.70+ 0.24([m-6] + 1)
when m≤ 6
when m > 6 and m is an integer
when m> 6 and m is not an integer
a. What is the cost of a call that is under six minutes?
b. What is the cost of a 14-minute call?
c. What is the cost of a
1912-m
9-minute call?
The obtained answers for the given piecewise function are:
(a) The cost of a call that is under six minutes is 0.70 (m < 6)
(b) The cost of a 14-minute call is 2.62 (m > 6; m is an integer)
(c) The cost of a 9 1/2 minute call is 1.66 (m > 6; m is not an integer)
What is a piecewise function?A piecewise function is given by different functions at different intervals.
Calculation:It is given that,
phone company set the following rate schedule for an m-minute call from any of its pay phones.
C(m) = 0. 70 when m ≤ 6
= 0.70 + 0.24(m - 6) when m > 6 and m is an integer
= 0.70 + 0.24([m - 6] + 1) when m > 6 and m is not an integer
(a) The cost of a call that is under six minutes:
Since m < 6, the cost is C(m) = 0.76
Thus, the cost of a call that is under six minutes is 0.76
(b) The cost of a 14-minute call:
Since 14 > 6, the cost is C(m) = 0.70 + 0.24(m - 6) when m > 6 and m is an integer.
C(14) = 0.70 + 0.24(14 - 6)
= 0.70 + 0.24(8)
= 0.70 + 1.92
= 2.62
Thus, the cost of a 14-minute call is 2.62.
(c) The cost of a 9 1/2 minute call:
9 1/2 = 19/2 = 9.5
Since 9.5 > 6, the cost is C(m) = 0.70 + 0.24([m - 6] + 1) when m > 6 and m is not an integer.
C(9.5) = 0.70 + 0.24([9.5 - 6] + 1)
= 0.70 + 0.24([3.5] + 1)
Since we know that if [x] is a function then its domain is R and the range is Z(integer)
So, [3.5] = 3(is an integer)
Then,
C(9.5) = 0.70 + 0.24(3 + 1)
= 0.70 + 0.96
= 1.66
Therefore, the cost of a 9 1/2 minute call is 1.66.
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Adam has some marbles.
Bradley has twice as many marbles are Adam.
Chris has 5 more marbles than Bradley.
In total they have 55 marbles.
How many marbles does Chris have?
Answer:
Chris has 25 Marbles
Step-by-step explanation:
If Adam starts with 10, Bradley will have twice as many, meaning Bradley's amount is 20. Making the new total, 30 Marbles. Chris has 5 More Marbles than Bradley, making Chris have 25 Marbles. If you add the total's up, you get 55 Marbles in total.
Hope this helps!!
does anyone mind helpin me with this issue
Answer:
5
Step-by-step explanation:
QR / PS = QP / SR
2x + 3 / 4x - 7 = 7 / 7
2x + 3 / 4x - 7 = 1
2x + 3 = 4x - 7
4x - 2x = 3 + 7
2x = 10
x = 10 / 2
x = 5
How many square yards of carpet are needed for a 21x18 living room?
Answer:
13 i think
Step-by-step explanation:
Question 1 x - 2.5 = -3
Answer:
x = -.5
Step-by-step explanation:
x - 2.5 = -3
Add 2.5 to each side
x - 2.5+2.5 = -3+2.5
x = -.5
Delta products, Inc., has recently switched at least partly from older technologies using fossil fuels to new technologies powered by electricity. The question has been raised whether it can be concluded that for a given level of output, Delta's operation now causes less fossil fuel to be consumed than it did formerly. The answer, clearly, is yes, since the amount of fossil fuel used to generate the electricity needed to power the new technologies is less than the amount needed to power the older technologies, provided that the level of output is held constant. In the argument given, the two boldface portions play which of the following roles? A. The first identifies the content of the conclusion of the argument; the second provides support for that conclusion. B. The first provides support for the conclusion of the argument; the second identifies the content of that conclusion. C. The first states the position that the argument opposes; the second states the conclusion of the argument. D. Each provides evidence that calls the conclusion of the argument into question. E. Each provides support for the conclusion of the argument.
Option A is the correct answer as it correctly identifies the roles of the two boldface portions.
The two boldface portions in the argument play different roles. The first boldface portion identifies the conclusion of the argument, while the second boldface portion provides support for that conclusion.
The argument aims to prove that for a given level of output, Delta's operation now causes less fossil fuel to be consumed than it did formerly.
The first boldface portion clearly states the conclusion of the argument, while the second boldface portion provides support for this conclusion by explaining that the new technologies powered by electricity consume less fossil fuel than the older technologies.
Therefore, option A is the correct answer as it correctly identifies the roles of the two boldface portions.
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Kylie explained that (negative 4 x 9) squared will result in a difference of squares because (negative 4 x 9) squared = (negative 4 x) squared (9) squared = 16 x squared 81. Which statement best describes Kylie’s explanation?.
A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression. Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.
Given information-
The expression for the given problem is,
\((-4x+9)^2\)
Perfect square trinomialA perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression.
The perfect square trinomial can be given as,
\(ax^2+bx+c\)
The given expression can be solved as,
\((-4x+9)^2=(-4x+9)\times(-4x+9)\\(-4x+9)^2=-4x(-4x+9)+9(-4x+9)\\(-4x+9)^2=16x^2-36x-36x+81\\(-4x+9)^2=16x^2-72x+81\)
Hence Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.
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For $10,000, you can purchase a five-year annuity that will pay $2,504.57 per year for five years. The payments begin one year from now. Calculate the effective annual interest rate this annuity will pay
The effective annual interest rate for the annuity is approximately 5%.
To calculate the effective annual interest rate for the annuity, we can use the formula:
Effective Annual Interest Rate = ((Total Payment / Principal Amount)^(1/Number of Years)) - 1
Principal Amount = $10,000
Total Payment = $2,504.57 per year for five years
Number of Years = 5 years
Let's substitute these values into the formula to calculate the effective annual interest rate:
Effective Annual Interest Rate = (($2,504.57 * 5) / $10,000)^(1/5) - 1
Calculating this expression will give us the effective annual interest rate of the annuity.
To calculate the effective annual interest rate, we use the formula:
Effective Annual Interest Rate = ((Total Payment / Principal Amount)^(1/Number of Years)) - 1
In this case, the principal amount is $10,000, the total payment is $2,504.57 per year for five years, and the number of years is 5.
Substituting the values into the formula, we have:
Effective Annual Interest Rate = (($2,504.57 * 5) / $10,000)^(1/5) - 1
Simplifying the expression, we get:
Effective Annual Interest Rate = (12522.85 / $10,000)^(1/5) - 1
Calculating this expression gives us the effective annual interest rate of the annuity.
Please note that the effective annual interest rate is expressed as a decimal, not a percentage. To convert it to a percentage, multiply by 100.
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If the area of a circle is 90 cm, what is its radius?
Answer:
r= 5.35
Step-by-step explanation:
Answer:
the radius is .... 5.35 :P
kaii~
Javier invests $2,500 into an account 3.5% simple interest . What will be the total amount in the account after 5 years if no other deposits are made?
a) 4,375
b) 437.50
c) 6,875
d) 2,937.50
Answer:d
Step-by-step explanation:
Write an equation to match this graph.
Answer:
y = x + 7
Step-by-step explanation:
Pick 2 points on the line to calculate the slope, m: (3, 10) and (5, 12)
m = Δy/Δx = (12 - 10) / (5 - 3) = 2/2 = 1
Use the point-slope equation and the point (3, 10): (y - y1) = m(x - x1)
(y - 10) = 1(x - 3)
y - 10 = x - 3
y = x - 3 + 10
y = x + 7
Each month, Ellie spends 6 hours in tap class at her dance studio. If each month she spends 30% of her class time in tap class, what is the total number of hours she spends in dance classes each month? Show your work or explain how you found your answer in complete sentences.
Answer:
high so I think your answer might be so says each month at least $26 and tap class at her dance studio if each when she spends 30 of her class time in tap class how is the total number of hours spent it in dance class each month show your work or explain how he found your answer in a sentence so basically divide 30 by 6 and then you get your answer which is 5
A pair of fair dice is rolled. What is the probability that the number landing uppermost on the first die is a 6 if it is known that the sum of the numbers landing uppermost is 7?
The probability that the landing uppermost of the first die is 6 given the conditions as required is; 1/36.
What is the probability given the requirements as stated?It follows from the task content that; the probability that the number landing uppermost on the first die is a 6 if it is known that the sum of the numbers landing uppermost is 7 is to be determined.
This implies that the first die gives 6 and the second die gives 1 so that the required probability is;
P = (1/6) × (1/6)
P = 1 / 36.
Ultimately, the required probability as described is; 1/36.
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Anyone know the answer?
Answer:7
Step-by-step explanation: The range is the value of the difference of the highest and lowest numbers. As I can see here, the highest is 9, while the lowest is 2, so 9-2=7
The function f(x)=80(1.5)x models a bacteria population after x hours. how does the average rate of change between hour 4 and hour 8 compare to the average rate of change between hour 0 and hour 4?
The average rate of change between hour 4 and hour 8 is equal to the average rate of change between hour 0 and hour 4.
Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given,
The function f(x)=80(1.5)x
where x is the time in hours
Then,
f(4)=80(1.5)4=480
f(8)=80(1.5)8=960
f(0)=80(1.5)0=0
Then the average rate of change between 4 and 8 hours =\(\frac{960-480}{4}\)
=120 units per hour
The average rate of change between 0 and 4 hours=\(\frac{480-0}{4}\)
=120 units per hour
Hence, the average rate of change between hour 4 and hour 8 is equal to the average rate of change between hour 0 and hour 4.
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if 4^(x+2) = 48 what is 4^x
Answer:
3
Step-by-step explanation:
\(4^{(x+2)} = 48 \\ \\ {4}^{x} . {4}^{2} = 16.3 \\ \\ {4}^{x} . \cancel {16} = \cancel {16} .3 \\ \\ {4}^{x} = 3\)
X=
(Simplify your answer. Do not include the degree symbol in your answer.)
y=(Simplify your answer. Do not include the degree symbol in your answer.)
Answer:
x and 14y are the same
Step-by-step explanation:
hello whats this ? ill give brainliest
Answer:
congruent
Step-by-step explanation:
90+90=180
so not 0 or 270
and complementary means they add up to 90 and none of that is true
so it has to be congruent
A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)?
Answer:
This is the answer
y = − x
So yeah hope this helps...
Solve for y.
12x + 3y = 6
Answer:
Hi there!
Your answer is:
y= -4x + 2
Step-by-step explanation:
12x +3y = 6
-12x
3y = -12x+6
/3
y = -12/3x + 6/3
Simplify
y= -4x + 2
\(\text {Hey! Let's Solve this Equation!}\)
\(\text {\underline {To Solve this Eqaution you Add -12x}}\)
\(\text {12x+3y+-12x=6+-12x}\)
\(\text {\underline {The Final Step is to Divide 12}}\)
\(\text {3y/3=-12x+6/3}\)
\(\text {Your Answer Would Be:}\)
\(\fbox {y=-4x+2}\)
\(\text {Best of Luck!}\)
write the integral as the sum of the integral of an odd function and the integral of an even function.
We can write the integral of f(x) as the sum of the integral of the even component, e(x), and the integral of the odd component, o(x). This gives us the following equation: ∫f(x)dx = ∫e(x)dx + ∫o(x)dx
Integrals can be written as the sum of the integral of an odd function and the integral of an even function. This is because any function can be broken down into its even and odd components. Even functions are those that remain unchanged when reflected over the x-axis. This means that the result of evaluating the function for any x-value is the same as the result for its negative. Odd functions are those that change sign when reflected over the x-axis. This means that the result of evaluating the function for any x-value is the negative of the result for its negative.
The integral of an even function is the same regardless of whether it is written as the sum of the integral of an odd function and the integral of an even function, or if it is written just as an integral of the even function. The integral of an odd function is the negative of the integral of the even function when written as the sum of the two integrals.
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The bonus question asks for the application of the integral test to determine the convergence of the series given by 2n*e^(-a).
The integral test is a method used to determine the convergence or divergence of a series by comparing it to the integral of a related function. In this case, we are given the series 2n*e^(-a), and we can use the integral test because the terms of the series involve the variable 'n', and the function e^(-a) can be integrated.
To apply the integral test, we consider the integral of the function corresponding to the series. In this case, we integrate the function f(x) = 2x*e^(-a) from 1 to infinity. If this integral converges, then the series is also convergent. Conversely, if the integral diverges, then the series is divergent.
By evaluating the integral of f(x) and analyzing its convergence or divergence, we can determine whether the given series 2n*e^(-a) converges or diverges. Showing all the steps in evaluating the integral and discussing the convergence properties of the resulting integral will be necessary to receive full credit for this question.
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Can somebody help me find the vertex, AOS, and solution
I need help on 8 and 9
Please help me Asp
Answer:
Vertex for 8: (-1,-1) Aos for 8: -1
Vertex for 9 (5,0) Aos: 5
I’m not sure about the solution because I’m not sure what you mean by solutions. So sorry!!! :-(
calculate the surface area and then the volume
Answer:
46
Step-by-step explanation:
length x width x height
7 x 5 x 3
Answer: surface area = 142
Volume = 105
* make sure to add labels (units^2, etc.)
Step-by-step explanation:
Area = length x height
Volume = length x width x height
In circle V V, V W = 3 VW=3 and m ∠ W V X = 9 0 ∘ ∠WVX=90 ∘ . Find the length of ⌢ WX ⌢ . Express your answer as a fraction times π π.
The length of ⌢ WX ⌢ expressed as a fraction times π is:6÷π
What is Circle ?
In geometry, a circle is a two-dimensional shape consisting of all the points that are equidistant from a given point, called the center. The distance from the center to any point on the circle is called the radius of the circle.
From the given information, we know that V, W, and X are points on a circle with center V, and that VW = WX = 3. We also know that ∠WVX = 90°.
Since WX is a diameter of the circle, it has length equal to twice the radius of the circle. Let r be the radius of the circle, then we have:
VW + WX = 2r
3 + 3 = 2r
r = 3
So the radius of the circle is 3. Since WX is a diameter, its length is 2r = 6. Therefore, the length of ⌢ WX ⌢ expressed as a fraction times π is:6÷π
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1/3x+6=-18+3x PLEASE HURRY I HAVE A TEST
Answer:
x=9 Hope this helps :)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 3x from both sides.
Step 3: Subtract 6 from both sides.
Step 4: Multiply both sides by 3/(-8).
And you get x=9
Riding your bike is good exercise. If your goal is to ride your bike a total of 85 laps around the block over the next 5 days, how many laps must you ride each day?
In short, the answer is 85/5 is the most basic.
85/5 is equal to 17 laps a day (minimum)
17 laps a day is also the average of this. I hope this helps!
Need help with this fast
Answer:
15%
Step-by-step explanation:
add them all up and then subtract from 100
Explain the difference between a constant and a coefficient.
The constant is the number that includes in the expression and the coefficient is the number that write along with the variable in the expression.
Here,
The constant is the number that includes in the expression. It is a fixed value that does not change over time
Example : 2x+5
Where 5 is the constant
The coefficient is the number that write along with the variable in the expression
Example : 2x+5
Where 2 is the coefficient.
Hence, the constant is the number that includes in the expression and the coefficient is the number that write along with the variable in the expression.
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