Answers
On the day the recall declaration was made, 9000 calls were received by the call center. The number of calls decreased over time.
How to interpret the function?The function in the context of this problem is defined as follows:
f(x) = 9000/(0.09x² + 1)
Hence, on the day that the declaration was made, we have that x = 0, hence the number of calls is given as follows:
f(0) = 9000/(0.09(0) + 1) = 9000.
As time passes x increases, and the function is inverse proportional to the square of x, hence the number of calls decreased over time.
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Related Questions
What is the simplest form of 4/81x85?
3x² (1√/75)
O 3x²y (¹√/y)
O
9x²y(√√)
9x³y² (¹√y)
Answers
The simplest form of 4/81x^85 is 3x^2(√1)/75.
Option A is correct.
How do we write an expression on its simplest form?
In order to reduce an algebraic expression to its simplest form, we need to reduce or simplify an expression as much as feasible by carrying out any suggested processes in order to write it in its simplest form.
During the process, we should factor, combine like words, eliminate common factors, and simplify any fractions or radicals.
In conclusion, the simplest form of the expression 4/81x^85 is written as 3x^2(√1)/75.
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Let ln(xy) + y2 = 4. Find dy/dx at the point (1/2,2)
Answers
The value of dy/dx is -2 at the given points.
We need to find dy/dx at the point (1/2,2) for the equation [tex]ln(xy) + y^2 = 4[/tex].
First, we can take the partial derivative of both sides of the equation with respect to x, treating y as a constant:
[tex]d/dx [ln(xy) + y^2] = d/dx [4][/tex]
Using the chain rule on the first term, we get:
[tex](1/xy) * y * dy/dx + 2y * dy/dx = 0[/tex]
Simplifying the expression:
[tex]dy/dx = -(2y)/(y + x(ln(xy)))[/tex]
Now we can plug in the values x = 1/2 and y = 2:
dy/dx = -(2(2))/(2 + 1/2(ln(1/2*2)))
dy/dx = -(4)/(2 + ln(1))
dy/dx = -4/2
dy/dx = -2
Therefore, the value of dy/dx at the point (1/2,2) is -2.
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Select the correct statement.
a.)
With a p-value of 0.04 and a significance level of 3%, you failed to reject the null hypothesis.
b.)
With a p-value of 0.03 and a significance level of 6%, you failed to reject the null hypothesis.
c.)
With a p-value of 0.01 and a significance level of 3%, you failed to reject the null hypothesis.
d.)
With a p-value of 0.02 and a significance level of 5%, you failed to reject the null hypothesis.
Answers
The correct statement regarding p-values and decision of the hypothesis is given by:
c.) With a p-value of 0.04 and a significance level of 3%, you failed to reject the null hypothesis.
Given that;
To find the correct statement regarding p-values and decision of the hypothesis
Since, Depends on if the p-value is less or more than the significance level:
If it is more, the null hypothesis is not rejected.
If it is less, it is rejected.
Hence the correct statement for this problem is given by:
c.) With a p-value of 0.04 and a significance level of 3%, you failed to reject the null hypothesis.
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Based on this W-2, which of the following statements is TRUE?
a. Lily is contributing to a 401(k) retirement through her employer
b. Lily works in the state of Indiana, which does not have an income tax
c. Lily's taxable wages are much large at the federal level than at the state or local level
d. Lily earned more than $12,950 (which is the standard deduction amount)
What
Libe
Answers
Based on this W-2, a statement which is true include the following: D. Lily earned more than $12,950 (which is the standard deduction amount).
What are the types of tax?In Economics, there are different types of tax which are levied on individuals (employees) or business firms (employers of labor) by the government, and these include the following:
Property tax.Sales taxFederal income tax.What is a W-2 Tax form?In Economics, W-2 Tax form can be defined as an internal revenue service (IRS) tax form which is used to indicate the amount of money that is earned by an employee at the end of a period, including the correct federal income tax that should be withheld from an employee's paycheck in the United States of America.
Based on the W-2 Tax form, we can logically deduce that Lily earned more than $12,950 because her gross earnings (wages) is $14,450.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
I do not know how to add it . The bottom ans top ?
Answers
Answer:
14
Step-by-step explanation:
5[tex]\frac{1}{5}[/tex] + 8[tex]\frac{5}{6}[/tex]
5 1/5 = 26/5
8 5/6 = 53/6
26/5 + 53/6 = 156/30 + 265/30 = 412/30 = 206/15 ≈ 13.75
So, I say the answer is 14
need help with algebra here is screenshot. quick pls and right answer only.
Answers
The simplified algebraic expression is given as follows:
[tex]5\frac{(-1 + \sqrt{3})}{3}[/tex]
How to simplify the algebraic expression?The algebraic expression in the context of this problem is defined as follows:
[tex]\frac{-5 + 5\sqrt{3}}{3}[/tex]
To simplify, we must obtain the common factor of the numerator, which is of 5, as both terms are divisible by 5, as follows:
-5/5 = -1.5 x sqrt(3)/5 = sqrt(3).Hence the simplified algebraic expression is given as follows:
[tex]5\frac{(-1 + \sqrt{3})}{3}[/tex]
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HELP WILL GIVE 50 POINTS!!!!
Answers
Answer:
48 = 1/2 * b * (b - 4)
b
Step-by-step explanation:
According to the problem, the height of the triangle is 4m less than the base. We can express this mathematically as:
height = b - 4
The area of a triangle is given by the formula:
area = 1/2 * base * height
Substituting the given values, we get:
48 = 1/2 * b * (b - 4)
Simplifying the equation:
96 = b^2 - 4b
Rearranging and setting the equation equal to zero:
b^2 - 4b - 96 = 0
We can solve for b using the quadratic formula:
b = (-(-4) ± sqrt((-4)^2 - 4(1)(-96))) / (2(1))
b = (4 ± sqrt(16 + 384)) / 2
b = (4 ± 20) / 2
We take the positive root since the base of a triangle cannot be negative:
b = (4 + 20) / 2
b = 12
Therefore, the length of the base is 12 meters.
but in the question above is b
The area of a triangle is 105 square inches. The base is 15 inches. What is the height in inches? Do not include units in your answer.
Answers
The height of the triangle in inches is 14 inches if the area is 105 square inches.
Given that,
Area of the triangle = 105 square inches
Base of the triangle = 15 inches
We know that, the formula to find the area of the triangle is given by,
Area of the triangle = [tex]\frac{1}{2}[/tex] × base × height
Let h be the height.
Substituting,
[tex]\frac{1}{2}[/tex] × 15 × h = 105
15h = 210
h = 14 inches.
Hence the height of the triangle is 14 inches.
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A data set includes 108 body temperatures of healthy adult humans having a mean of 98.2 and a standard deviation of 0.64 . Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans . What does the sample suggest about the use of 98.6 as the mean body temperature.?
Answers
The 99% confidence interval for mean temperature of human is :
( 98.04f, 98.40f )
A data set includes 108 body temperatures of healthy adult humans having a mean of 98.2 and a standard deviation of 0.64 .
Now, We have to construct a 99% confidence interval estimate of the mean body temperature of all healthy humans.
We use these formula for upper limit and lower limit:
u = x + Zα/2 × (s/√n) (For the upper limit)
u = x - Zα/2 × (s/√n) (For the lower limit)
We have the information from question:
x = sample mean = 98.2
s = standard deviation = 0.64
n = sample size = 108.
[tex]Z_\frac{\alpha }{2}[/tex] = critical value for a 2 tailed test performed at a 1% level of significance ( 100% - 99%) = 2.58
Now, Substitute the parameter,
For upper limit:
u = x + Zα/2 × (s/√n)
u = 98.2 + 2.58 ( 0.64/√108)
u = 98.2 + 2.58 ( 0.0616)
u = 98.2 + 0.1589
u = 98.4
For lower limit:
u = x - Zα/2 × (s/√n)
u = 98.2 - 2.58 ( 0.64/√108)
u = 98.2 - 2.58 ( 0.0616)
u = 98.2 - 0.1589
u = 98.04.
The 99% confidence interval for mean temperature of human is :
( 98.04f, 98.40f )
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Draw the image of PQR after a translation of 2 units right and a reflection across the line x = 1 label the image PQR
Answers
The graph C represents the image of the triangle PQR, after a translation of 2 units right and a reflection across the line x = 1
A translation in math moves a shape left or right or up or down.
The graph C represents the image of the triangle PQR
After a translation of 2 units right and a reflection across the line x = 1
Because if you move the triangle two to the right then X=1
X=1 means the line is up and down going thought x=1
and if that line you make you reflect across it would be C
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The figure shows angle ABD is 90 degrees split by line BC. The measure of angle ABC is X degrees and the measure of (3x+10) Select all the true statements
Answers
20 degrees is the value of the variable x.
Angle ABD is 90 degrees, angle ABC is X degrees, and the measure of angle DBC (3x+10)
x + 3x +10=90
4x +10 =90
4x= 90-10
4x =80
x= 80÷4
x=20
Therefore, the value of the variable x is 20 degrees
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Find the missing side lengths. Leave your answers as radicals in simplest form.
Answers
I think
Step-by-step explanation:
in order to find x and y we use pythagorus theorem ok
Answer:
Step-by-step explanation:
This is a 30-60-90
Short leg is x because that is across 30 which is x
long leg is y which is x√3
and hypotenuse is 2x
S to find x
2x=[tex]\frac{4\sqrt{3} }{3}[/tex]
x = [tex]\frac{2\sqrt{3} }{3}[/tex]
y=[tex]\frac{2\sqrt{3} }{3}[/tex] *[tex]\sqrt{3}[/tex]
y=2*3/3
y=2
you can also use pythagorean if you don't remember the rules for 30-60-90. I can show you how and edit this if you want more, mention in comments
Help please ;-;
.....
Answers
Answer:
rate of change is 3/4 or 3/4x
Step-by-step explanation:
write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression) that have the following solution sets. Two solutions: x=2, x=14
Answers
Answer:
|x -8| = 6
Step-by-step explanation:
You want an absolute value equation of the form |x -b| = c with solutions x=2 and x=14.
SolutionsThe solutions to the given equation are ...
|x -b| = c
-c = x -b or x -b = c . . . . . "unfold" the function
x = b -c or x = b + c . . . . . solve for x
ParametersAdding the two solution equations together, we get ...
(2) +(14) = (b -c) +(b +c)
16 = 2b
b = 8
Then ...
c = x -b = 14 -8 = 6
EquationThe equation you want has (b, c) = (8, 6), so is ...
|x -8| = 6
For f(x) = x³-12, what is the value
of the function when x = 4?
Answers
Answer:
42
Step-by-step explanation:
x = 4
x³
= 4³
= 4 x 4 x 4
= 64
x³ - 12
= 64 - 12
= 42
Need help with this problem!
Answers
The trigonometric identity sin(x + y) = (√95 + 3√17)/27
What are trigonometric identities?Trigonometric identities are identities containing trigonometric ratios.
Given that tanx = 1/√8 and siny = √17/6 and angles x and y are both in Quadrant 1, we need to find the value of sin(x + y)
So, using the trigonometric identity sin(x + y) = sinxcosy + cosxsiny
First we need to find sinx, cos x and cosy
Using trigonometric identity 1 + tan²x = sec²x
sec²x = 1 + tan²x
= 1 + (1/√8)²
= 1 + 1/8
= (8 + 1)/8
= 9/8
sec²x = 9/8
secx = √(9/8)
= ±3/2
secx = 1/cosx
1/cosx = ±3/2
cosx = ±2/3
Now sinx = √(1 - cos²x)
= √(1 - (2/3)²)
= √[(1 - 4/9)]
= √[(9 - 4)/9]
= √(5/9)
= ±√5/3
Also, cosy = √(1 - sin²y)
= √(1 - (√17/6)²)
= √(1 - 17/36)
= √[(36 - 17)/36]
= √(19/36)
= ±√19/6
Since sin(x + y) = sinxcosy + cosxsiny, substituting the positive values of the variables into the equation since they are in the first quadrant, we have that
sinx = ±√5/3cosx = ±2/3siny = √17/6 cosy = ±√19/6sin(x + y) = sinxcosy + cosxsiny
sin(x + y) = √5/3 × √19/6 + 2/3 × √17/6
= √95/27 + √17/9
= √95/27 + √17/9
= 1/9(√95/3 + √17)
= 1/9(√95 + 3√17)/3
= (√95 + 3√17)/27
So, sin(x + y) = (√95 + 3√17)/27
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If 12 inches is equivalent to 1 foot, how would you correctly write this proportion? 17 ft =__________in
Answers
Answer:
204 inches
Step-by-step explanation:
17ft * 12inches/ft = 204inches
Answer:204
Step-by-step explanation:
17ft = to 204 inches
Suppose you are making cone shaped party hats out of colored construction paper. Each party hat measures 6 inches tall with a diameter of 5 inches. You plan to fill each hat with party favors. Which measurement BEST describes the amount of party favors each party hat will hold? (round to the nearest tenth)
Responses
A 39.3 in239.3 in 2
B 70.7 in370.7 in 3
C 70.7 in270.7 in 2
D 39.3 in3
Answers
The total volume of the party hat shaped cone is V = 39.3 inches³
Given data ,
Let the diameter of the party shaped cone be d = 5 inches
So , the radius of the cone r = 2.5 inches
Now , the height of the hat = 6 inches
And , Volume of Cone = ( 1/3 ) πr²h
V = ( 1/3 ) ( 3.14 ) ( 2.5 )² ( 6 )
V = ( 1/3 ) ( 117.75 )
V = 39.3 inches³
Hence , the volume of cone is V = 39.3 inches³
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(x-7/2)^2+(x-7/2)^2=1
Answers
Answer:
x = 4.2071
x = 3.1464
Step-by-step explanation:
(x-7/2)^2+(x-7/2)^2=1
x^2 - 7x + 49/4 + x^2 - 7x + 49/4 = 1
2x^2 - 14x + 49/2 = 0
x = −(−14) ± (√(−14) − (4×2×(47/2)) / 2 x 2
x = 14 ± 2.8284 / 4
x = 14 + 2.8284 / 4
x = 4.2071
x = 14 - 2.8284 / 4
x = 3.1464
How do I find the measure of angle 2?
Answers
Answer:
∠2 = 60°
Step-by-step explanation:
You want the measure of angle 2, where angles 1 and 2 form a linear pair and are marked ∠1 = 5x-5, and ∠2 = 2x+10. You are shown that x=25 and angle 1 is 120°.
Angle 2There are two ways you can find the measure of angle 2.
1. Use the fact that angle 2 is supplementary to angle 1, which is given as 120°.
∠2 = 180° -∠1 = 180° -120°
∠2 = 60°
2. Use the expression in x to find angle 2, since you know the value of x.
∠2 = 2x +10 = 2(25) +10 = 50 +10
∠2 = 60°
__
Additional comment
It looks like you have figured out how to find x. You use the fact that the total of the two angle measures of a linear pair of angles is 180°.
(5x -5) +(2x +10) = 180
7x = 175 . . . . . . subtract 5
x = 25 . . . . . . . divide by 7
5. Mohan deposits 2,000 in his bank account and withdraws 1,642 from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Mohan's account after the withdrawal
Answers
Answer:
Step-by-step explanation:
Then the amount deposited will be represented by a positive integer.
Money deposited: 2000
Money withdrawn: 1642
Balance left: 2000-1642
:358
I need help with this please
Answers
Answer:
0.03
Step-by-step explanation:
Round to the Nearest Hundredth
Find the number in the hundredth place
2
and look one place to the right for the rounding digit
5
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
How many degrees is 5pi/4 radians?
Answers
Answer: 225
Step-by-step explanation:
Create a ratio part/whole for radians = part/whole for degrees
[tex]\frac{\frac{5\pi }{4} }{2\pi } = \frac{x}{360}[/tex] Keep change flip because you are dividing fractions for left side
[tex]\frac{5\pi }{4} (\frac{1}{2\pi }[/tex]) = [tex]\frac{x}{360}[/tex]
[tex]\frac{5}{8} (\frac{360}{1} ) =x[/tex]
x = 225
Hello pls help me
:)
Answers
The unknown angles of the similar triangle are as follows:
m∠W = 55°
m∠X = 90°
m∠Y = 35°
How to find the angles of similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Therefore, the corresponding angles of the triangles are congruent.
Hence, the triangle is assume to be drawn accurately.
Therefore,
m∠W = m∠D
m∠X = m∠E
m∠Y = m∠C
Therefore,
m∠W = 180 - 90 - 35 = 55 degrees
m∠X = 90 degrees
m∠Y = 35 degrees
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A report says that the average amount of time a 10-year-old American child spends playing outdoors per day is between 20.36 and 24.82 minutes. What is the margin of error in this report?
Answers
Answer:
The margin of error in a confidence interval depends on the sample size, the standard deviation of the population (which is not given in the problem), and the level of confidence. Since the standard deviation is not given, we cannot calculate the margin of error exactly. However, we can estimate the margin of error using a standard deviation of 1 (which is a common assumption) and a level of confidence of 95%, which corresponds to a z-score of 1.96.
The formula for the margin of error for a 95% confidence interval is:
Margin of error = z * (standard deviation / sqrt(sample size))
Assuming a standard deviation of 1 and a sample size of 1 (since we are talking about the average time of a single child), we get:
Margin of error = 1.96 * (1 / sqrt(1)) ≈ 1.96
Therefore, we can estimate the margin of error in the report to be around 1.96 minutes. This means that the true average time a 10-year-old American child spends playing outdoors per day is likely to be within 1.96 minutes of the reported average, with a 95% level of confidence.
Step-by-step explanation:
Find the volume of the rectangular prism show your work find the vilune of the prism 12in. 10in. 12in.
Answers
Answer:
1440 in^3
Step-by-step explanation:
Note: this is a rectangular prism, where V= lwh. In this case, l=12, w=10, h=12. Multiplying them, we find that the volume is 1440 in^3
which ones describe this polygon please help i got one shot at this.
Answers
Answer:
All the choices except Trapezoid are correct.
You can afford monthly deposits of $200 into an account that pays
5.7% compounded monthly. How long will it be until you have $7000?
(Round to the next-higher month if not exact.)
Answers
3kg of fish cost $12.And 2kg of prawn cost $x.The total cost of 3kg of fish and 1kg of prawn is $30.find the cost of 1kg of prawn..
Answers
1kg of prawn costs $18.
To find the cost of 1kg of prawnLet's use algebra to determine how much 1 kg of prawns would cost.
We know that 3kg of fish cost $12, so the cost per kg of fish is:
$12 ÷ 3kg = $4/kg
We can set up an equation since we also know that the combined cost of 3 kg of fish and 1 kg of prawn is $30:
3($4/kg) + 1($x/kg) = $30
Simplifying the left side of the equation, we get:
$12/kg + $x/kg = $30
Subtracting $12/kg from both sides, we get:
$x/kg = $18
Therefore, 1kg of prawn costs $18.
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Roger completed a probability experiment with a coin. He flipped the coin 32 times, and it landed on tails eight times. He looked at the results of his experiment to determine the ratio of heads outcomes to tails outcomes.
The ratio of heads to tails in simplified form is
to
.
Answers
The ratio of heads outcomes to tails outcomes can be expressed as a fraction by putting the number of heads outcomes over the number of tails outcomes. Therefore, the ratio in simplified form is:
24/8 = 3/1
So the ratio of heads outcomes to tails outcomes in simplified form is 3 to 1.
Answer:
The number of times the coin landed on heads is 32 - 8 = 24 since there were 32 flips in total and 8 of them resulted in tails.
The ratio of heads outcomes to tails outcomes can be expressed as 24:8. To simplify this ratio, we can divide both the numerator and denominator by their greatest common factor, which is 8.
So, 24/8 = 3 and 8/8 = 1. Therefore, the ratio of heads outcomes to tails outcomes in simplified form is 3:1.
