Answer:
1053
Step-by-step explanation:
‼️‼️‼️‼️HELP‼️‼️‼️
Ron is 3 years older than Sherry, who is 4
years less than twice as old as John. Which of
the following represents Ron's age, if J = John's age?
Answer:
2J - 1
Step-by-step explanation:
Let J = John's age. Sherry is 4 years less than twice as old as John, so Sherry is 2J - 4 years old. Ron is 3 years older than Sherry, so Ron is 2J - 4 + 3 = 2J - 1 years old.
What is the end behavior of the function f of x equals negative 4 times the cube root of x? as x → –[infinity], f(x) → –[infinity], and as x → [infinity], f(x) → [infinity]. as x → –[infinity], f(x) → [infinity], and as x → [infinity], f(x) → –[infinity]. as x → –[infinity], f(x) → 0, and as x → [infinity], f(x) → 0. as x → 0, f(x) → –[infinity], and as x → [infinity], f(x) → 0.
The end behavior of the function is as:
as →∞, f(x)→+∞ and as x→-∞, f(x)→+∞
What is end behavior?The x-axis "endpoints" of a function's graph are referred to as its "end behavior" in this context.
How do determine the end behavior of a function?choosing the polynomial function's greatest degree. The highest degree term will dominate the graph since it will expand more quickly than the other terms as x gets very big or very small.
Function f(x)=2∛x has the following graph:
The behavior of the function at its conclusion is because it leads to infinity.
as x→∞, f(x)→+∞ and as x→-∞, f(x)→+∞
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Evaluate the integral. (remember to use absolute values where appropriate. use c for the constant of integration. ) ds s2(s − 1)2
Solution of integral [tex]\int \frac{ds}{s^{2}(s-1)^{2} }[/tex] is [tex]2ln|\frac{s}{s-1}|-\frac{1}{s}-\frac{1}{s-1}+c[/tex].
We have to evaluate [tex]\int \frac{ds}{s^{2}(s-1)^{2} }[/tex]
By using partial fractions, evaluate the integral
Let [tex]\frac{1}{s^{2}(s-1)^{2} } =\frac{A}{s} +\frac{B}{s^{2}} +\frac{c}{s-1} +\frac{D}{(s-1)^{2} }[/tex]
[tex]1=As(s-1)^{2} +B(s-1)^{2} +Cs^{2}(s-1)+Ds^{2}[/tex]
Put s = 0, 1 = B.1 ⇒ B = 1
Put s= 1, 1 = D ⇒ D = 1
Put s = -1, [tex]1=A(-1)(-2)^{2} +B(-2)^{2} +C(-1)^{2} (-2)+D(-1)^{2}[/tex]
1 = -4A + 4B -2C + D
1 = -4A + 4 -2C + 1
-4 = -4A -2C
2 = 2A + C----------------(1)
Put s = 2, 1 = A(2) + B +C(4) +D(4)
1 = 2A + 1 + 4C +4
-4 = 2A + 4C
-2 = A + 2C---------------(2)
From(1),
C = 2 -2A ---------------(3)
From (2),
⇒ -2 = A + 4 -4A
⇒ -6 = -3A ⇒ A = 2
From (3)
C = 2 - 2(2)
⇒ C = -2
Thus [tex]\int \frac{ds}{s^{2}(s-1)^{2} }= \int (\frac{2}{s} +\frac{1}{s^{2} }- \frac{2}{s-1} +\frac{1}{(s-1)^{2} } )ds[/tex]
= [tex]2 ln|s|-\frac{1}{s} -2ln|s-1|-\frac{1}{s-1}+c[/tex]
= [tex]2ln|\frac{s}{s-1}|-\frac{1}{s}-\frac{1}{s-1}+c[/tex]
Thus,
Solution of integral [tex]\int \frac{ds}{s^{2}(s-1)^{2} }[/tex] is [tex]2ln|\frac{s}{s-1}|-\frac{1}{s}-\frac{1}{s-1}+c[/tex].
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please explain how to do this
The length of arc AB is 3π given that radius of the circle is 27 units and the angle made by the arc AB at the center of the circle is 20°. This can be obtained using the formula to find arc length.
Find the length of the arc AB:Formula used for finding arc length:
If the angle made by the arc at the center of the circle is in degrees, the formula to find the length of the arc is,⇒ L = 2 π r (θ/360°)
where r is the radius of the circle and θ is the angle made by the arc at the center of the circle.
If the angle made by the arc at the center of the circle is in radians, the formula to find the length of the arc is,⇒ L = r × θ
where r is the radius of the circle and θ is the angle made by the arc at the center of the circle.
Here in the question it is given that,
r = 27 units
θ = 20°
Since the angle made by the arc at the center of the circle is in degrees, the formula to find the length of the arc is,
⇒ L = 2 π r (θ/360°)
L = 2 π (27) (20°/360°)
L = π (27) (20°/180°)
⇒ L = 3 π
Hence the length of arc AB is 3 π given that radius of the circle is 27 units and the angle made by the arc AB at the center of the circle is 20°.
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The area of a circle is 25л ft². What is the circumference, in feet? Express your answer in terms of π.
Answer:
C = 10π ft
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
to find r use the area formula, that is
A = πr² = 25π ( divide both sides by π )
r² = 25 ( take square root of both sides )
r = [tex]\sqrt{25}[/tex] = 5
then
C = 2π × 5 = 10π ft
hi guys how do u order decimals like this
.76373
.5734
.432
and explain pls! i’ll mark u brainliest just please help me!
Answer:
Ascending Order: 0.432 < 0.5734 < 0.76373
Descending Order: 0.76373 < 0.5734 < 0.432
Step-by-step explanation:
Check the tenths place of the decimal number and order them accordingly. If the tenths place is the same for two decimal numbers, go on to the next corresponding place to compare their values.
jaquan washes cars for his neighbors on the weekends. Jaquan uses the same amount of water for each car he washes. the point on the following coordinate plane show how much water jaquan uses for 2,5, and 8. How much water does Jaquan use for 6 cars?
help me plsss
The amount of water for washing x cars is y = 12x, and 72 gallons would be needed to wash 6 cars.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The standard form of a linear equation is given as:
y = mx + b
Where m is the rate of change and b is the y intercept (initial value of y)
Let y represent the amount of water Jaquan uses to wash x cars, Using the point (2, 24) and (5, 60):
y - 24 = [(60 - 24)/(5- 2)](x - 2)
y = 12x
For 6 cars:
y = 12(6) = 72
The amount of water for washing x cars is y = 12x, and 72 gallons would be needed to wash 6 cars.
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Answer: Jaquan uses 72 L to wash 6 cars
Step-by-step explanation:
How do I do this!!!!!
The expected values of the binomial distribution are given as follows:
1. 214.
2. 21.
3. 31.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
For item 1, the parameters are:
p = 3/7, n = 500.
Hence the expected value is:
E(X) = np = 500 x 3/7 = 1500/7 = 214.
For item 2, the parameters are:
p = 0.083, n = 250.
Hence the expected value is:
E(X) = np = 250 x 0.083 = 21.
For item 3, the parameters are:
p = 1/13, n = 400.
Hence the expected value is:
E(X) = np = 400 x 1/13 = 31.
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The number 20 is multiplied either by 4 or by 5, then the product is increased either by 3 or by 5, and then the sum is divided either by 6 or by 7. What is the final quotient, if it is a natural number?
A certain quadratic function has the factors
(2x - 5)
and
(3x + 4)
. What are the zeros of the function?
a. x=-2 and x=-3
b. x=2/5 and x= 4/3
c. x=5 and x=-4
d. x=5/2 and x = -4/3
Answer:
D
Step-by-step explanation:
If those two functions are the factors of a quadratic, then each of them can be equated to 0 to find the roots. Sometimes the roots are called the zeros.
2x - 5 = 0 Add 5 to both sides
2x - 5 + 5 = 0 + 5 Combine
2x = 5 Divide both sides by 2
2x/2 = 5/2
x = 5/2
You don't really have to find the other factor's 0 point. There is only 1 option that makes x = 5/2. On a test, it is important to take short cuts and save time. I'll find the other root anyway because this is not a test.
3x + 4 = 0 Subtract 4 from both sides
3x + 4-4 = 0 - 4 Combine
3x = - 4 Divide both sides by 3
3x/3 = - 4/3
x = - 4/3
What is a simplified representation or abstraction of reality?
a) metric
b) project
c) consolidation
d) model
Answer:
That would be a model.
Step-by-step explanation:
Like climate scientists use a model of the Earth's processes to make predictions of climate change.
A boy has 800 he spends 160 what fraction of his original money does he have left
Answer:
Step-by-step explanation:
800-160=640
640/800=64/80
64/80=16/20
16/20=4/5
Answer=4/5
The fraction of his original money does he have left = 4/5 .
What is a fraction in math?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.A boy has = 800 and spends = 160
800-160=640
640/800=64/80
64/80=16/20
16/20=4/5
Therefore, his original money left =4/5
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2x+3≥7 OR 2x+9>1
Please help me
Answer:
x > -4
Step-by-step explanation:
[tex]2x+3 \geq 7 \\ \\
2x \geq 4 \\ \\
x \geq 2[/tex]
[tex]2x+9>1 \\ \\ 2x>-8 \\ \\ x>-4[/tex]
So, the union of these solutions is x > -4.
Let f(x, y) = x2 6y2. find the maximum and minimum values of f subject to the given constraint?
The minimum and maximum values are (16/9)√3 and -(16/9)√3.
According to the statement
we have given that the function
First of all, since the constraint's graph is a circle, which is a closed loop, and f is continuous in [tex]R^2[/tex], there must exist a constrained global maximum and minimum value.
Lagrange Multipliers:
f(x,y) = xy^2
g(x,y) = x^2 + y^2
We want ∇f = λ∇g so we get the following system of equations
1. y^2 = 2λx
2. 2xy = 2λy
3. x^2 + y^2 = 4 ← The constraint.
Equation 2 implies that y = 0 or λ = x
We can ignore y = 0, since that will make f(x,y) = 0 and clearly f(x,y) takes on both positive and negative values subject to the constraint.
Plugging in the alternative, λ = x to equation 1 gives y^2 = 2x^2.
Plugging this into the constraint gives 3x^2 = 4 so that x^2 = 4/3 and y^2 = 8/3
Taking square roots gives
x = ±√(4/3) = ±(2/3)√3
y = ±√(8/3) = ±(2/3)√6
At the points < (2/3)√3 , ±(2/3)√6 >, f(x,y) = (16/9)√3 ← Maximum
At the points < -(2/3)√3 , ±(2/3)√6 >, f(x,y) = -(16/9)√3 ← Minimum
So, The minimum and maximum values are (16/9)√3 and -(16/9)√3.
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Pls help as soon as possible
Answer:
12
Step-by-step explanation:
6*6 = 36
36/3 = 12
Answer:
12
Step-by-step explanation:
Given expression:
[tex]\dfrac{1}{3}x^2[/tex]
To evaluate the given expression for x = 6, substitute x = 6 into the expression and simplify:
[tex]\begin{aligned}x=6 \implies \dfrac{1}{3}(6)^2 & = \dfrac{1}{3}(6 \cdot 6)\\\\& = \dfrac{1}{3}(36)\\\\& = \dfrac{36}{3}\\\\& = \dfrac{3 \cdot 12}{3}\\\\& = \dfrac{\diagup\!\!\!\!3 \cdot 12}{\diagup\!\!\!\!3}\\\\& = 12\end{aligned}[/tex]
Help please, also provide work
Answer:
9) 128
10) 78
11) 31
12) 148
Step-by-step explanation:
9) we know that the segment across from the angle 48° is double the angle.
48 · 2 = 96
The segments around the circle should all add up to 360 so we add the two segments we know to find the unknown segment.
136 + 96 = 232
360 - 232 = 128
The answer for 9 is 128.
10)
61 + 80 = 141
180 - 141 = 39
39 * 2 = 78
The answer for question 10 is 78.
11)
236 + 62 = 298
360 - 298 = 62
62 ÷ 2 = 31
The answer for question 11 is 31.
12)
50 · 2 = 100
100 + 112 = 212
360 - 212 = 148
The answer for question 12 is 148.
the volume of my sphere is 62.5/3 pi, with the radius being 2.5 and the height of each cylinder being 0.208. help pls this makes no sense
Based on the given parameters, the volume of the cylinder is 62.5/3 π cubic units
How to determine the volume of the sphere?From the question, the given parameters are:
Shape = Sphere
Volume = 62.5/3π
Radius = 2.5
Height of cylinder = 0.208
The volume of a cylinder is calculated using the following formula:
V = 4/3πr^3
Substitute the known values in the above equation
V = 4/3 * π * (2.5)^3
Evaluate the exponent
V = 4/3 * π * 15.625
Evaluate the product of 15.625 and 4
V = 1/3 * π * 62.5
Evaluate the product of 62.5 and 1/3
V = 62.5/3 π
This means that the volume of the cylinder is 62.5/3 π cubic units
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Consider the quadratic equation x² 20x + 13 = 0.
-
Completing the square leads to the equivalent equation (x-
—)² = —
The analogous equation for the square will be; (x-10)²=87.
What is Equivalent equation?Algebraic equations with equivalent solutions or roots are called equivalent equations.
Based on information provided, an equivalent equation is created by adding or deleting the same quantity or expression from both sides of a given equation;
Using the original equation as a starting point as;
-20x+ x² + 13 = 0
Now x² - 20x = -13.
We need to take the "x" term's coefficient, or b, to complete the square.
Then Divide by 2 and write the equation in the quadratic formula (ax² + bx + c = 0).Then,
B = -20
b/2 = -10
(b/2)² = 100
x² - 20x +100 = -13 + 100
On the left side,
LHS: (x + b/2)² = (x-10)2
RHS: -13 + 100 = 87
(x-10)² = 87
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Create an equivalent system of equations using the sum of the system and the first equation. x 4y = 8 4x y = 2 x 4y = 8 5x y = 2 x 4y = 8 5x 5y = 2 x 4y = 8 4x 5y = 10 x 4y = 8 5x 5y = 10
An equivalent system of equations using the sum of the system and the first equation is:
[tex]x+4y=8\\5x+5y=10[/tex]
What are equations?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal.[tex]3x+5=14[/tex], for example, is an equation in which [tex]3x+5[/tex] and [tex]14[/tex] are two expressions separated by a '=' sign.Given:
[tex]x+4y=8\\4x+y=2[/tex]
Add the above equations to get:
[tex]x+4y+4x+y=8+2\\x+4y+4x+y=10\\5x+5y=10[/tex]
Therefore, an equivalent system of equations using the sum of the system and the first equation is:
[tex]x+4y=8\\5x+5y=10[/tex]
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The correct question is given below:
Create an equivalent system of equations using the sum of the system and the first equation.
x + 4y = 8
4x + y = 2
x + 4y = 8
5x + y = 2
x + 4y = 8
5x + 5y = 2
x + 4y = 8
4x + 5y = 10
x + 4y = 8
5x + 5y = 10
Find the volume. 74yd 54yd 84yd 103yd
The volume of the figure in the attachment is 84 cubic yards
What is the volume of a figure?The volume of a figure or a three-dimensional shape is the amount of space inside the figure or the three-dimensional shape
How to determine the total volume?The complete question is added as an attachment.
From the attached figure, we can see that the three-dimensional shape is a frustum
The volume is then calculated using the following formula
V = 1/2 * (Sum of the parallel bases) * height * side length
From the figure, we have:
Parallel bases = 2 yards and 6 yards
Height = 3.5 yards
Side length = 6 yards
Substitute the known values in the above equation
V = 1/2 * (2 + 6) * 3.5 * 6
Evaluate the product in the above equation
V = 1/2 * (2 + 6) * 21
Evaluate the sum in the above equation
V = 1/2 * 8 * 21
Evaluate the product in the above equation
V = 1/2 * 168
Evaluate the product in the above equation
V = 84
Hence, the volume of the figure in the attachment is 84 cubic yards
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How many 9 digit palindomes are there with all the digits being evan and each digit appearing no more than twice?
Answer: 96
Step-by-step explanation:
A palindrome is a number that is the same when reading in both ways (right to left, and left to right), for example, 121
Then, we have 9 digits, and all the digits need to be even.
the options are: 0, 2, 4, 6, 8.
Now, we can think of a 9-digit number as 9 empty slots, and in each slot, we can put a number.
But because this is a palindrome, the first digit must be equal to the ninth, and the second digit must be equal to the eight, and so on.
So, we can think it as actually only 5 slots, where in each slot, we can put an even number, now let's count the options that we have in each selection.
For the first digit we have 4 options: 2, 4, 6 and 8 (0 is not counted here because if the first digit was a 0, then this would not be a 9-digit number).
for the second digit, we have also 4 options (because we already toked one, but now the 0 can be chosen)
for the third digit, we have 3 options
for the fourth digit, we have 2 options
for the fifth digit, we have only one option.
The total number of combinations is equal to the product of the number of options for each selection:
C = 4*4*3*2*1 = 96
Amanda increased the amount of protein she eats every day from 48 g to 54 g. what percentage did Amanda increase the amount of protein she eats
Step-by-step explanation:
I just answered this. how often did you post that question ?
she added 54-48 = 6g.
how many % of 48g are these 6g ?
100% = 48
1% = 100%/100 = 48/100 = 0.48g
how many % are 6g ?
as many as how often 1% (0.48g) fits into 6g :
6 / 0.48 = 12.5%
PLS HELP ASAP.........
Answer:
Step-by-step explanation:
Because there is sound and a tune that plays again anytime people are shown having fun at the carnival, the Kit Kat commercial is effective. When the sound is silenced, the commercial's lyrics will come to the viewer's thoughts without any further thought.
A sample of n = 64 scores is selected from a population with µ = 80 with σ = 24. On average, how much error is expected between the sample mean and the population mean?
The expected error between the sample mean and the population mean is 3.
In this problem, we have been given :
population mean (μ) = 80,
standard deviation (σ) = 24,
sample size (n) = 64
We know that,
The Central Limit Theorem states that, for a normally distributed random variable X, with mean μ and standard deviation σ, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation, which is also called standard error [tex]s=\frac{\sigma}{\sqrt{n} }[/tex]
We need to find the error between the sample mean and the population mean.
standard error
= σ /√n
= 24 /√64
= 24 / 8
= 3
Therefore, the expected error between the sample mean and the population mean = 3
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PLEASE HELP its math
Answer:
y = 3x + 6
Step-by-step explanation:
We are given a line.
We know this line is parallel to the line y=3x+2, and passes through (1, 9).
We want find the equation of this line.
Parallel lines have the same slopes.
So, let's find the slope of y=3x+2.
The line is written the format y=mx+b, where m is the slope and b is the value of y at the y intercept.
As 3 is in the place of where m (the slope) is, the slope of the line is 3.
It is also the slope of the line parallel to it.
We should write the equation of the line parallel y=3x+2 in slope-intercept form as well, however, before we do that, we can write the line in point-slope form, and then convert it to slope-intercept form.
Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a point.
We can substitute 3 as m in the formula, as we know that is the slope of the line
[tex]y-y_1=3(x-x_1)[/tex]
Recall that we were given the point (1, 9), which also belongs to (it passes through) the line.
Therefore, we can use its values in the formula.
Substitute 1 as [tex]x_1[/tex] and 9 as [tex]y_1[/tex].
y - 9 = 3(x-1)
We can now convert the equation into slope intercept form.
Notice how y is by itself in slope-intercept form; this means we'll need to solve the equation for y.
Start by distributing 3 to both x and -1.
y - 9 = 3x - 3
Now add 9 to both sides.
y = 3x + 6
Consider the expressions below. for each expression below, select the letter that corresponds to the equivalent expression given above. is equivalent to expression . is equivalent to expression . is equivalent to expression . is equivalent to expression .
The considerations of expressions for each expressions are shown below.
What is an expression?An expression in mathematics is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.) Expressions and phrases are similar in structure. In English, a phrase may involve action on its own, but it does not constitute a whole sentence.To consider the expressions:
Part 1:
(x²+15x+65)+(2x-5)*(3x+8)(x²+15x+65)+(6x²+16x-15x-40)(7x²+16x+25)The answer to Part 1 is the letter B,
(7x²+16x+25)
Part 2:
(4x+1)*(3x-4)-(5x²-10x-12)(4x+1)*(3x-4)-(5x²-10x-12)(12x²-16x+3x-4)-(5x²-10x-12)(7x²-3x+8)The answer to Part 2 is the letter D,
(7x²-3x+8)
Part 3:
(8x²+19x+4)+(3x+2)*(x-5)(8x²+19x+4)+(3x²-15x+2x-10)(11x²+6x-6)The answer to part 3 is the letter A,
(11x²+6x-6)
Part 4:
(6x+1)*(3x-7)-(7x²-34x-20)(18x²-42x+3x-7)-(7x²-34x-20)(11x²-5x+13)The answer to part 4 is the letter C,
(11x²-5x+13)
Therefore, the considerations of expressions for each expression are shown.
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The complete question is given below:
For each expression below, select the letter that corresponds to the equivalent expression given above.
Find the value of x. Degrees in an arc!! pls help i need this to study for my test!! pls show work thank you so much :)
Considering the angle of the arc, it is found that the value of x is of x = 12º.
What is the angle of the arc?It is twice the inside angle.
In this problem, the angle of the arc is of 102º, hence the inside angle is of 51º, which means that we can solve for x as follows:
4x + 3 = 51
4x = 48
x = 12º.
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Which line does a better job capturing the trend of the data? Explain.
10
•
Graph A
10
10
00
6
-
2
O
●
N
●
4
20
●
Graph B
9
Answer:
B
Step-by-step explanation:
Line A mostly follows the trend of the higher points, entirely neglecting the existence of the lower points. Line b acknowledges the lower points and adjusts the line accordingly to be lower.
Can you please answer this question
Answer:
look above
Step-by-step explanation:
hope it helps
A 2 gallon container of disinfectant costs 22.72. What is the price per cup
Answer:
$0.71/cup
Step-by-step explanation:
1 gallon = 16 cups
2 gallons = 2 × 1 gallon = 2 × 16 cups = 32 cups
$22.72/(2 gal) = $22.72/(32 cups) = $0.71/cup
