Answer:
1,880.82
Step-by-step explanation:
Find the average rate of change of the function from x=1 to x=2. f(x)=−6/x^2
Answer:
4.5.
Step-by-step explanation:
f(x) = −6 / x^2
f(1) = -6 / (1)^2 = -6 / 1 = -6.
f(2) = -6 / (2)^2 = -6 / 4 = -3 / 2 = -1.5.
Now, you have two sets of coordinates: (1, -6), and (2, -1.5).
You need to find the slope, which is the average rate of change.
(-1.5 - (-6)) / (2 - 1) = (-1.5 + 6) / 1 = -1.5 + 6 = 4.5
Hope this helps!
The average rate of change of the function from x=1 to x=2 is 4.5
The average rate of change of a function is given by:
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Hence, the average rate of change of the function from x=1 to x=2. f(x)=−6/x² is:
f(2) = -6/2² = -1.5
f(1) = -6/1² = -6
[tex]Average\ rate\ of\ change=\frac{f(2)-f(1)}{2-1}=\frac{-1.5-(-6)}{2-1}=4.5[/tex]
Hence the average rate of change of the function from x=1 to x=2 is 4.5
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A car is purchased for $16,500. After each year, the resale value decreases by 35%. What will the resale value be after 3 years?
round your answer to the nearest dollar.
Answer: 16500(.65)^3 =4531.31
Step-by-step explanation:
What is x? The degree of the angle of x
Answer:
x = 60°
Step-by-step explanation:
All the angles in a triangle add up to 180°. So, you have this equation.
87° + 33° + x = 180°
120° + x = 180°
x = 60°
The measure of angle x is 60°.
Hope that helps.
Jill put 53 buttons in a box. Marci put 17 buttons in an other box. Jarrod says Marci has 33 fewer buttons than Jill. He thinks 53-20 is easier to subtract than 53-17. He subtracts 53-20 and gets 33. Do you agree or not agree with Jarid's thinking?
Answer:I do not agree
Step-by-step explanation:he needs to take away 17 if he takes away 20 not 17 he needs to return 20-17=3 so in easier words you do 53-20+3=36
whats a significant figure
Answer:
Significant figures are any digits that contribute to the number: In 02.400, only 2 and 4 are significant digits. However, in 2.4001, 2, 4, 0, 0, and 1 are significant digits, because the number would not be the same without them.
Step-by-step explanation:
Hope it helps <3
which statement is true about the radical expression square root of 25
Answer:
5
Step-by-step explanation:
The square Root of 25 in its simplest form means to get the number 25 inside the radical √ as low as possible.
25 is a perfect square, which means that you can simply calculate the square Root of 25 to get the answer. 5 times 5 equals 25. Thus, the square Root of 25 in simplest radical form is = 5
The graph of a quadratic function with vertex (0, 4) is shown in the figure below.
Find the domain and the range.
Write your answers as inequalities, using X or y as appropriate.
Or, you may instead click on "Empty set" or "All reals" as the answer.
Answer:
See below
Step-by-step explanation:
The domain of the quadratic equation is going to be [tex]\mathbb{R}[/tex] (all reals), since you can set x to be any real number and get a real value of y.
I can't see the graph, but the range of the quadratic is going to be y ≥ 4 (if the graph opens upwards) or y ≤ 4 (if the graph opens downwards).
Write an expression for each statement and then simplify it, if possible.
g
There are two numbers, that sum up to 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers ?
Answer:
If the smaller number is x, then the equation is
. The numbers are
,
.
Answer:
x = 18; y = 35
Step-by-step explanation:
This gives us the equation:
1. x+y=53
2. 3x=y+19
3. 3x-y=19
Add the first and last line together: x+y+3x-y=53+19
Simplifies to: 4x=72
Divide by 4 to get: x = 18
Plug your numbers into the first equation to get 18+y=53; y = 35.
Answer:
The numbers are 18 and 35.
Step-by-step explanation:
The smaller number is x.
Let the other number by y.
Three times the smaller number is equal to 19 more than the larger number.
3x = y + 19
The larger number is
y = 3x - 19
the numbers add up to 53
x + y = 53
x + 3x - 19 = 53
4x = 72
x = 18
y = 3x - 19 = 3(18) - 19 = 54 - 19 = 35
The numbers are 18 and 35.
Nakashima Gallery had the following petty cash transactions in February of the current year. Nakashima uses the perpetual system to account for merchandise inventory. Feb 2 Write a $400 check to establish a petty cash fund. Feb 5 Purchased paper for the copier for $14.15 that is immediately used. Feb 9 Paid $32.50 shipping charges (transportation in) on merchandise purchased for resale, terms FOB shipping point. These costs are added to merchandise inventory. Feb 12 Paid $7.95 postage to deliver a contract to a client Feb 14 Reimbursed Adina Sharon, the manager, $68 for mileage on her car. Feb 20 Purchased office paper for $67.77 that is immediately used. Feb 23 Paid a courier $20 to deliver merchandise sold to a customer, terms FOB destination. Feb 25 Paid $13.10 shipping charges (transportation in) on merchandise purchased for resale, terms FOB shipping point. These cost are added to merchandise inventory. Feb 27 Paid $54 for postage expenses Feb 28 The fund had $120.42 remaining in the petty cashbox. Sorted the petty cash receipts by accounts affected and exchanged them for a check to reimburse the fund for expenditures. Feb 28 The petty cash fund amount is increased by $100 to a total of $500
Answer:
1. Debit Petty cash for $400; and Credit Cash for $400.
2. Total petty cash payment = $270.57
3(a) Cash reimbursement is $279.58; and Cash over and short is $9.01.
3(b) Debit Petty cash for $100; and Credit Cash for $100.
Step-by-step explanation:
Note: This question is not complete. The full complete question is therefore provided before answering the question. See the attached pdf file for the full question.
The explanations to the answers are now given as follows:
1. Prepare the journal entry to establish the petty cash fund.
Note: See the journal entry in the attached excel file
2. Prepare a petty cash payments report for February with these categories: delivery expense, mileage expense, postage expense, merchandise inventory (for transportation-in), and office supplies expense. Sort the payments into the appropriate categories and total the expenditures in each category.
Note: See the petty cash payments report in the attached excel file.
3. Prepare the journal entries for required 2 to both (a) reimburse and (b) increase the fund amount.
Note: See the journal entries (a) and (b) in the attached excel file
3(a) Reimburse Workings:
w.1: Calculation of Cash reimbursement
Cash reimbursement = Petty cash fund - Petty cash fund balance = $400 - $120.42 = $279.58
w.2: Calculation of the Cash over and short
Cash over and short = Cash reimbursement – Total expenses = $279.58 - $270.57 - $120.42 = $9.01
If x is 6, What is X+4
Answer: 6 + 4
Step-by-step explanation:
6 is the x
Answer:
if X=6
meaning,when you add X+4 it will give you 6+4 which is equal to 10
Need answers!!!!! ASAPPP
Answer:
t
Step-by-step explanation:
cos(0)=√2/2, and 3π/2<0<2π, evaluate sin(0) and tan(0). Sin(0)?
Answer:
Option (2)
Step-by-step explanation:
In this question we have to find the values of Sinθ and tanθ where [tex]\frac{3\pi}{2}<x<2\pi[/tex].
Cosθ = [tex]\frac{\sqrt{2}}{2}[/tex] ⇒ θ = [tex]\frac{7\pi }{4}[/tex]
[Since [tex]\text{Cos}\frac{7\pi }{4}=\text{Cos}(2\pi-\frac{\pi}{4})[/tex]
[tex]=\text{Cos}\frac{\pi }{4}[/tex]
[tex]=\frac{\sqrt{2} }{2}[/tex] ]
Since Cosine of any angle between [tex]\frac{3\pi}{2}[/tex] and 2π is positive and Sine is negative in nature,
[tex]\text{Sin}\frac{7\pi }{4}[/tex] = [tex]-\frac{\sqrt{2}}{2}[/tex]
Since, tanθ = [tex]\frac{\text{Sin}\theta}{\text{Cos}\theta}[/tex]
tanθ = [tex]\frac{\frac{-\sqrt{2} }{2} }{\frac{\sqrt{2} }{2} }[/tex]
= [tex]-\frac{\sqrt{2}}{2}\times \frac{2}{\sqrt{2}}[/tex]
= -1
Therefore, Option (2) will be the answer.
Answer:
Step-by-step explanation:
option 2 is the correct answer
Find the maximum and minimum values
Answer:
2 and 10 are the in and max
Answer:
Min = 2
Max = 10
Step-by-step explanation:
C = 2(x+y)
x ≥1
y ≥0
y ≤5 -x
The smallest y can be is zero
The smallest x can be is 1
The minimum is
C = 2 ( 0+1) = 2 ( 1) = 2
Looking for the max
y ≤5 -x
Add x to each side
x+y ≤5
The max is 5 for x+y
Substituting that into the equation for C
C = 2(5)
C = 10
Min = 2
Max = 10
High Fructose Corn Syrup (HFCS) is a sweetener in food products that is linked to obesity and type II diabetes. The mean annual consumption in the United States in 2008 of HFCS was 60 lbs with a standard deviation of 20 lbs. Assume the population follows a Normal Distribution.
a. Find the probability a randomly selected American consumes more than 50 lbs of HFCS per year.
b. Find the probability a randomly selected American consumes between 30 and 90 lbs of HFCS per year.
c. Find the 80th percentile of annual consumption of HFCS.
d. In a sample of 40 Americans how many would you expect to consume more than 50 pounds of HFCS per year.
e. Between what two numbers would you expect to contain 95% of Americans HFCS annual consumption?
f. Find the quartile and Interquartile range for this population.
g. A teenager who loves soda consumes 105 lbs of HFCS per year. Is this result unusual?
Answer:
Explained below.
Step-by-step explanation:
X = annual consumption in the United States in 2008 of HFCS
[tex]X\sim N(60, 20^{2})[/tex]
(a)
Find the probability a randomly selected American consumes more than 50 lbs of HFCS per year.
[tex]P(X>50)=P(\frac{X-\mu}{\sigma}>\frac{50-60}{20})=P(Z>-0.50)=P(Z<0.50)=0.6915[/tex]
P (X > 50) = 0.6915.
(b)
Find the probability a randomly selected American consumes between 30 and 90 lbs of HFCS per year.
[tex]P(30<X<90)=P(\frac{30-60}{20}<\frac{X-\mu}{\sigma}<\frac{90-60}{20})\\\\=P(-1.5<Z<1.5)\\\\=0.93319-0.06681\\\\=0.86638\\\\\approx 0.8664[/tex]
P (30 < X < 90) = 0.8664.
(c)
Find the 80th percentile of annual consumption of HFCS.
P (X < x) = 0.80
⇒ P (Z < z) = 0.80
⇒ z = 0.84
[tex]z=\frac{x-\mu}{\sigma}\\\\0.84=\frac{x-60}{20}\\\\x=60+(20\times 0.84}\\\\x=76.8[/tex]
80th percentile = 76.8.
(d)
In a sample of 40 Americans how many would you expect to consume more than 50 pounds of HFCS per year.
P (X > 50) = 0.6915
Number of American who consume more than 50 lbs = 40 × 0.6915
= 27.66
≈ 28
Expected number = 28.
(e)
Between what two numbers would you expect to contain 95% of Americans HFCS annual consumption?
According to the Empirical rule, 95% of the normally distributed data lies within 2 standard deviations of mean.
[tex]P(\mu-2\sigma<X<\mu+2\sigma)=0.95\\\\P(60-2\cdot20<X<60+2\cdot20)=0.95\\\\P(20<X<100)=0.95[/tex]
Range = 20 < X < 100.
(f)
Find the quartile and Interquartile range for this population.
1st quartile: Q₁
P (X < Q₁) = 0.25
⇒ P (Z < z) = 0.25
⇒ z = -0.67
[tex]z=\frac{Q_{1}-\mu}{\sigma}\\\\-0.67=\frac{Q_{1}-60}{20}\\\\Q_{1}=60-(20\times 0.67)\\\\Q_{1}=46.6[/tex]
3rd quartile: Q₃
P (X < Q₃) = 0.75
⇒ P (Z < z) = 0.75
⇒ z = 0.67
[tex]z=\frac{Q_{3}-\mu}{\sigma}\\\\0.67=\frac{Q_{3}-60}{20}\\\\Q_{3}=60+(20\times 0.67)\\\\Q_{3}=73.4[/tex]
Inter quartile range:
[tex]IQR=Q_{3}-Q_{1}=73.4-46.6=26.8[/tex]
(g)
Compute the z-score for x = 105 lbs as follows:
[tex]z=\frac{Q_{3}-\mu}{\sigma}\\\\z=\frac{105-60}{20}\\\\z=2.25[/tex]
Z-scores greater than +2.00 or less than -2.00 are considered as unusual.
Thus, the result unusual.
what is the y-intercept of the function f(x) equals 4-5x
Answer: 4
Step-by-step explanation:
f(x)=4-5x is the same as y = -5x + 4 (Slope-intercept form). Thus, the y-intercept is 4.
Hope it helps <3
Answer: 4
Step-by-step explanation:
in the eq f(x) = 4 - 5x,
putting x=0 we get
f(x) = 4 - 0 = 4
hence y intercept = 4
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. A quality control analyst wants to examine thermometers that give readings in the bottom 4%. Find the temperature reading that separates the bottom 4% from the others. Round to two decimal places.
Answer:
the temperature reading that separates the bottom 4% from the others is -1.75°
Step-by-step explanation:
The summary of the given statistics data set are:
Mean [tex]\mu[/tex] : 0
Standard deviation [tex]\sigma[/tex] = 1
Probability of the thermometer readings = 4% = 0.04
The objective is to determine the temperature reading that separates the bottom 4% from the others
From the standard normal table,
Z score for the Probability P(Z < z) = 0.04
P(Z < -1.75) = 0.04
z = -1.75
Now, the z- score formula can be expressed as :
[tex]z = \dfrac{X-\mu}{\sigma}[/tex]
[tex]-1.75 = \dfrac{X-0}{1}[/tex]
-1.75 × 1 = X - 0
X = -1.75 × 1 - 0
X = -1.75
Therefore, the temperature reading that separates the bottom 4% from the others is -1.75°
Test the claim that the proportion of men who own cats is smaller than 70% at the 0.05 significance level. The null and alternative hypothesis would be:
Answer:
the null hypothesis would be: p = 70%/0.7
The alternative hypothesis would be: p < 0.7
Step-by-step explanation:
The null hypothesis is most of the time always the default statement while the alternative hypothesis is tested against the null and is its opposite.
In this case study the null hypothesis would be: the proportion of men who own cats is 70%: p = 0.7
The alternative hypothesis would be: the proportion of men who own cats is smaller than 70% : p < 0.7
123=0
4235=0
656=2
5390=2
8890=6
1001=2
19235=1
What is 123456789?
Answer:
4
Step-by-step explanation:
I suppose this is a trick question.
The answer is equal to the "circular hole" in the numbers. (except 4, which does not contain circular hole).
So by counting the holes,
123456789 = 4
Answer:
4
Step-by-step explanation:
This is a trick/pattern
We have to count the number of holes in each number
1-0
2-0
3-0
4-0
5-0
6-1
7-0
8-2
9- 1
1+2+1 =4
Which of the following can be used to find the area of a circle?
A.
B.
C.
D.
Answer:
option B
hope it was useful for you
stay at home stay safe
pls mark me as brain.....
Answer:
[tex]\boxed{Option \ B}[/tex]
Step-by-step explanation:
Area of a circle = [tex]\pi r^2[/tex]
Finding the area of the circle, we need to know what the radius of the circle is. So, We would get the area of the circle.
answer asap, please :)
Answer:
[tex]\boxed{\sf 4.41}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
We can solve using trigonometric functions.
[tex]\sf cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]
[tex]\sf cos(25)=\frac{4}{?}[/tex]
[tex]\sf ?=\frac{4}{cos(25)}[/tex]
[tex]\sf ?= 4.41351167...[/tex]
doreen schmidt Is a chemist. She needs to prepare 36 ounces of a 16% hydrochloric acid solution. Find the amount of 18% solution and the amount of 9% solution she should mix to get this solution
Please help.
Answer:
Mixing two concentrations for known amount of mixture
Step-by-step explanation:
Let x = amount (ounces) of 18% solution
then
36-x = amount (ounces) of 9% solution
0.18x + 0.09(36-x) = .16(36)
0.18x + 3.24-.09x = 5.76
0.09x + 3.24 = 5.76
0.09x = 2.52
x = 28 ounces of 18% solution
amount of 9% solution:
36-x = 36-18 = 18 ounces
"prepare 36 ounces", means mass or weight.
Let u = ounces of 16%
Let v = ounces of 18%
(16u + 18v)/36=9
and u + v = 36
based on the above findings....
Mixing two concentrations for known amount of mixture
Find local maximum or minimum of the function: f(x)= (x + 1)^2(x - 3) Local maximum point= ( , ) Local maximum value= Local minimum point = ( , ) Local minimum value=
Answer: Local Max = (-1, 0)
Local Min = (1, -8)
Step-by-step explanation:
f(x) = (x + 1)² (x - 3)
Step 1: Find the zeros
(x + 1)² = 0 --> x = -1 (multiplicity of 2)
(x - 3) = 0 --> x = 3
Step 2: Find the Vertices
x = -1 --> (multiplicity is even which means this is a vertex)
The midpoint between x = -1 and x = 3 is x = 1
Step 3: Find the Local Max and Local Min
Use the x-value above to find the y-values
f(-1) = 0 because it is a zero
f(1) = (1 + 1)² (1 - 3)
= 2²(-2)
= 4(-2)
= -8
Conclusion:
(-1, 0) is the Local Max bigger y-value
(1, -8) is the Local Min smaller y-value
Answer:
f ( x ) = ( x – 3) 2 – 4; the minimum value is –4
Step-by-step explanation:
Given the function f ( x ) = x 2 – 6 x + 5, write an equivalent form of the function that reveals the minimum or maximum value of the function and state the minimum or maximum value.
f ( x ) = ( x – 3) 2 – 4; the minimum value is –4
( This The correct question to answer?) can't deleted..
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Answer:
fortnite
Step-by-step explanation:
winwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwin
Answer:
Yes
Step-by-step explanation:
Yes
Need help solving hi
Answer:
See below.
Step-by-step explanation:
[tex]2 \ln(x+2)=6[/tex]
[tex]\ln (x+2)=3[/tex]
[tex]e^{\ln(x+2)}=e^3[/tex]
[tex]x+2=e^3[/tex]
[tex]x=e^3-2[/tex]
[tex]x\approx 18. 09[/tex]
Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. We wish to compare the means of two populations using paired observations. Suppose that d=3.125, sd=2.911, and n=8, and that you wish to test the hypothesis below at the 10% level of significance. What decision rule would you use? H0: μd=0 against H1: μd>0
Answer:
If the value of our test statistics is less than the critical value of t at 7 degrees of freedom at a 10% level of significance for the right-tailed test (which is 1.415), then we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
If the value of our test statistics is more than the critical value of t at 7 degrees of freedom at a 10% level of significance for the right-tailed test (which is 1.415), then we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Step-by-step explanation:
We are given that the means of two populations using paired observations. Suppose that [tex]\bar D[/tex] = 3.125, [tex]s_D[/tex] = 2.911, and n = 8, and that you wish to test the hypothesis below at the 10% level of significance.
Let D = difference between the two paired observations.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_D[/tex] = 0
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_D[/tex] > 0
The test statistics that would be used here is Paired t-test for dependent samples;
T.S. = [tex]\frac{\bar D-\mu_D}{\frac{s_d}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar D[/tex] = 3.125, [tex]s_D[/tex] = 2.911, and n = 8
The decision rule for rejecting the null hypothesis in the given hypothesis test would be;
If the value of our test statistics is less than the critical value of t at 7 degrees of freedom at a 10% level of significance for the right-tailed test (which is 1.415), then we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.If the value of our test statistics is more than the critical value of t at 7 degrees of freedom at a 10% level of significance for the right-tailed test (which is 1.415), then we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.I made a square frame for my favorite bird picture from four wooden pieces. Each piece is a rectangle with a perimeter of 24 inches. What is the area and perimeter of the picture and frame, together?
Answer:
Perimeter of the picture and frame = 38.4inches
Area of the picture and frame = 92.16inches²
Step-by-step explanation:
A square frame is made up of 4 different pieces. The shape of each piece = Rectangle
The perimeter of the rectangle = 24
Perimeter of the rectangle = 24 inches
The perimeter of a rectangle = 2L + 2W
The Width of a Rectangle is always on her than the length hence.
24 = 2L + 2W
24 = 2( L + W)
24/2 = L + W
12 = L + W
Because the width is always longer than the length
W > L
Width of wooden frame = 4 × Length
Therefore;
4 × L = W
Which gives
L + W = 12 inches
4 × L + L = 12 inches
L×(4 + 1)
= 5L = 12 inches
L = 12/5 = 2.4 inches
W = 4 × L = 4 × 12/5
W = 48/5 = 9.6 inches
Side length of wooden frame, L =9.6
The perimeter of the picture frame = 4 × L= 4 × 9.6= 38.4 inches
The area of the picture frame = L²
= L × L
= 9.6 × 9.6 = 92.16inches².
Michelle Duncan wants to know what price home she can afford. Her annual gross income is $45,000. She owes $790 per month on other debts and expects her property taxes and homeowners insurance to cost $340 per month. She knows she can get an 10.00%, 30-year mortgage so her mortgage payment factor is 8.78. She expects to make a 20% down payment. What is Michelle's affordable home purchase price? (Round your answer to the nearest dollar amount.)
Group of answer choices
$43,870
$635
$655
$41,999
$39,784
Answer:
$41,999
Step-by-step explanation:
Annual income = 45000
monthly income = $45000/12 months = $3750
mandatory expense at 38% rule = $3750 x 0.38 = 1425
other debt = 790
tax and insurance = 340
= 1425 - 790 - 340
= 295
balance left = 295
mortgage payment = (295/8.78) x 1000
= $33,599
purchase price = monthly payment/ 1- % of down payment
= $33599/1 - 0.20
= 33599/0.80
= $41,999
trang can test message about 38 words per minute. if she types at this rate for 20 minutes about how many words will she type?
Answer:
760 words for 20 minutes.
Step-by-step explanation:
38 words = 1 minute
1 x 20 = 20
38 x 20 = 760 words
if the discrimant of a equation is equal to -8, which statement describes the roots? A. there are two complex roots B. there are two real roots C. there is one real root D. there is one complex root
Answer:
Option A
Step-by-step explanation:
If Discriminant < 0 , (Just as -8) the roots are imaginary (Complex) and there are two complex roots.
I really need help on this
Answer:
Congruent
Step-by-step explanation:
I am not 100% sure because there are no measurements but it looks like the two shapes are the same size.
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Have a good day.