Answer:
None of the above
Step-by-step explanation:
Given
[tex]Design = 2^4[/tex]
Required
Determine the degree of freedom (df)
df is calculated as follows;
[tex]df = N- 1[/tex]
In this case:
N = Number of designs,
[tex]N = 2^4[/tex]
[tex]N = 16[/tex]
Substitute 16 for N in [tex]df = N- 1[/tex]
[tex]df = 16 -1[/tex]
[tex]df = 15[/tex]
Hence, none of the options answer te question
Jose and Aubree are reading the same book. At the beginning of the month, Jose was on page 5 and Aubree was on page 25. Jose will read 14 pages per day and Aubree will read 10 pages per day. Let
J
J represent the page of the book that Jose is on at the end of
t
t days into the month, and let
A
A represent the page of the book that Aubree is on at the end of
t
t days into the month. Write an equation for each situation, in terms of
t
,
t, and determine what page Jose and Aubree will be on on the day they are both on the same page.
Answer:
Step-by-step explanation:
Let J(t) represent Juan's equation and A(t) represent Aubree's equation. If Juan starts this venture on page 5, even if he didn't read any more days at all, when t = 0, he would still have read those 5 pages. Because he reads 14 pages per day, then he reads 14t and t represents the number of days gone by. His equation then is
J(t) = 14t + 5
Likewise, for Aubree, even if she decides not to read any more past the original 25 pages she started with, she would still have read those 25 pages. Her equation then would be
A(t) = 10t + 25
We need to know how many days will go by before they are both on the same page, so set the equations equal to each other and solve for t:
14t + 5 = 10t + 25 and
4t = 20 so
t = 5
After 5 days they will have both read the same number of pages.
Mias family arrived at their destination 6:00 pm after a 2 hour trip on a plane
evaluate the expression 2b ^3+5 when b=3
Answer:
59
Step-by-step explanation:
b^3 is 27
2(27) is 54
54+5 is 59
if u mean (2b)^3 then 2b is 6
6^3 is 216
plus 5 is 221
Answer: It is 59 For part 2 But for part 1 it is 3
Step-by-step explanation:
Find x?
In 3x - In(x - 4) = ln(2x - 1) +ln3
Answer:
[tex]x = \displaystyle \frac{5 + \sqrt{17}}{2}[/tex].
Step-by-step explanation:
Because [tex]3\, x[/tex] is found in the input to a logarithm function in the original equation, it must be true that [tex]3\, x > 0[/tex]. Therefore, [tex]x > 0[/tex].
Similarly, because [tex](x - 4)[/tex] and [tex](2\, x - 1)[/tex] are two other inputs to the logarithm function in the original equation, they should also be positive. Therefore, [tex]x > 4[/tex].
Let [tex]a[/tex] and [tex]b[/tex] represent two positive numbers (that is: [tex]a > 0[/tex] and [tex]b > 0[/tex].) The following are two properties of logarithm:
[tex]\displaystyle \ln (a) + \ln(b) = \ln\left(a \cdot b\right)[/tex].
[tex]\displaystyle \ln (a) - \ln(b) = \ln\left(\frac{a}{b}\right)[/tex].
Apply these two properties to rewrite the original equation.
Left-hand side of this equation:
[tex]\begin{aligned}&\ln(3\, x) - \ln(x - 4)= \ln\left(\frac{3\, x}{x -4}\right)\end{aligned}[/tex]
Right-hand side of this equation:
[tex]\ln(2\, x- 1) + \ln(3) = \ln\left(3 \left(2\, x - 1\right)\right)[/tex].
Equate these two expressions:
[tex]\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}[/tex].
The natural logarithm function [tex]\ln[/tex] is one-to-one for all positive inputs. Therefore, for the equality [tex]\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}[/tex] to hold, the two inputs to the logarithm function have to be equal and positive. That is:
[tex]\displaystyle \frac{3\ x}{x - 4} = 3\, (2\, x - 1)[/tex].
Simplify and solve this equation for [tex]x[/tex]:
[tex]x^2 - 5\, x + 2 = 0[/tex].
There are two real (but not rational) solutions to this quadratic equation: [tex]\displaystyle \frac{5 + \sqrt{17}}{2}[/tex] and [tex]\displaystyle \frac{5 - \sqrt{17}}{2}[/tex].
However, the second solution, [tex]\displaystyle \frac{5 - \sqrt{17}}{2}[/tex], is not suitable. The reason is that if [tex]x = \displaystyle \frac{5 - \sqrt{17}}{2}[/tex], then [tex](x - 4)[/tex], one of the inputs to the logarithm function in the original equation, would be smaller than zero. That is not acceptable because the inputs to logarithm functions should be greater than zero.
The only solution that satisfies the requirements would be [tex]\displaystyle \frac{5 + \sqrt{17}}{2}[/tex].
Therefore, [tex]x = \displaystyle \frac{5 + \sqrt{17}}{2}[/tex].
a nursery owner buys 7 panes of glass to fix some damage to her greenhouse. The 7 panes cost $16.45. Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
Answer:
It would be $ for 2 other planes of glass because if you take 7 divided by 7 to get 1 pane of glass you have to divide 16.45 by 7 to get how much it costs for 1 pane of glass. So for 1 pane of glass, it is $2.35 then lastly you can either add 2.35 and 2.35 to get $4.70 or take 2.35 times 2 to get your total. So it will cost $4.70 to get 2 panes of glass.
Step-by-step explanation:
X= -2,-1,0,1
Y= 4,1,0,1
Answer:
12x + 3y = 15
Step-by-step explanation:
Olivia drinks 64 ounces of water every day. At breakfast, she drinks 16 ounces. What percentage of water does she drink at breakfast?
Answer:
25%
Step-by-step explanation:
16/64 = .25 x 100 = 25%
It took Davina 45 minutes to clean her room. How many seconds did it take her
Answer:
2700
Step-by-step explanation:
i think
Describe a real-world example on how coordinate geometry is/can be used in the real-world. Then, create a sample question based on your example for the rest of your classmates to solve.
Answer:
Step-by-step explanation:
I think jhonnu
A 42-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 3 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.
Answer:
The first piece has a length of 7 inches, the second has a length of 14 inches and the third has a length of 21 inches.
Step-by-step explanation:
x represents the length of the first piece.
Hence, the second piece has a length of 2x and the third piece has a length of 3x.
Hence, x + 2x + 3x = 42 inches.
x + 2x + 3x = 42 inches
6x = 42 inches
x = 7 inches
Hence, the first piece has a length of 7 inches, the second has a length of 14 inches and the third has a length of 21 inches.
Hope this helped!
(sinA÷secA)÷(cosA÷sinA) =tan A
(Sin A/ secA) × ( sec A / cos A) = Sin A / cos A = tan A
Question should be cos A ÷ sec A
Yoda Soda is the intergalactic party drink that will have all your friends saying, "Mmmmmm, good this is!"
You are throwing a party, and you need 555 liters of Yoda Soda for every 121212 guests.
If you have 363636 guests, how many liters of Yoda Soda do you need?
liters
Answer:
15 litres
Step-by-step explanation:
Given
5 litres = 12 guests
Required
Determine the number of litres for 36 guests
Represent the required number of litres with L.
So, we have the following relationship:
[tex]5\ litres = 12\ guests[/tex]
[tex]L = 36\ guests[/tex]
Cross Multiply
[tex]L * 12\ guests = 5\ litres * 36\ guests[/tex]
[tex]L * 12= 5\ litres * 36[/tex]
[tex]12L = 180\ litres[/tex]
Solve for L
[tex]L = \frac{180\ litres}{12}[/tex]
[tex]L =15\ litres[/tex]
Hence, 15 litres are needed
What are the x-intercepts for the function f(x)= x²+2x-15
[tex] {x}^{2} + 2x - 15 = 0 \\ (x + 5)(x - 3) = 0 \\ x = - 5 \\ x = 3[/tex]
Therefore the answer is D.
what is the first term of an infinitely decreasing G.P whose sum is 16 and the second term is -0.5?
Answer:
8 + 6√2Step-by-step explanation:
Sum of infinite GP is:
a/(1 - r) = 16 andThe second term is:
ar = -0.5Eliminate r in the system:
a/(1-r) = 16 ⇒ a = 16 - 16r ⇒ 16r = 16 - a ⇒ r = 1 - a/16ar = -0.5 ⇒ r = -0.5/aCompare the two equations and solve for a:
1 - a/16 = -0.5/aMultiply both sides by 16a:
16a - a² = -8a² - 16a = 8 a² - 16a + 64 = 72(a - 8)² = 72a - 8 = ±√72a = 8 ± √72a = 8 + 6√2 a = 8 - 6√2, excluded as it is negative and makes common difference positive and so an increasing functiona = 8 - 6√2 = -0.4852 ⇒ r = -0.5/a = -0.5/-0.4852 = 1.03 > 1
Please help me thank you I appreciate it
Answer:35 degrees
Step-by-step explanation:
Answer:
angle KLN° + angle NLM° =180° ( l.p)
angle NLM°=180°-145°
angle NLM=35°
Brayden and his friends are driving across the US from New York to Los Angeles at a constant speed without stopping. When they have driven for 10 hours, they are 1700 miles away from Los Angeles. When they have driven for 15 hours, they are 1500 miles away from Los Angeles.a) Find a linear function that models the remaining distance, DD, to Los Angeles as a function of the amount of time, t, that Brayden and his friends have been driving.
Answer:
d=-40t+2100
Step-by-step explanation:
Let d be the distance between New York to Los Angeles and speed of driving is v miles/hour.
As when they have driven for 10 hours, they are 1700 miles away from Los Angeles, so the distance covered in 10 hours is d-1700 miles.
Similarly, the distance covered in 15 hours is d-1500 miles.
So, the distance covered in 5 hours = (d-1500)-(d-1700) =d-1500-d+1700=200 miles.
As speed = distance/time,
So the speed of driving, v=200/5=40 miles/hour
Let d (in miles) be the remaining distance at any time instant t (in hour) and the linear relation between d and t is
d=at+b ...(i)
where a and b are constants.
When they have driven for 10 hours, they are 1700 miles away from Los Angeles, so putting t=10 and d=1700 in the equation (i), we have
1700=10a+b
b=1700-10a...(ii)
Similarly, when they have driven for 15 hours, they are 1500 miles away from Los Angeles, so
1500=15a+b
1500=15a+1700-10a
1500-1700=5a
-200=5a
a= -200/5
a= -40
From equation (ii), we have
b=1700-10(-40)=1700+400=2100
From equation (i), the required equation is
d=-40t+2100
Hence the required linear function is d=-40t+2100.
Please Help: Adelle solved the equation 4x/7-6= -20 as shown. Fill in the correct justification for each step. Will Mark Brainliest. Only answer if you are extremely 100%. Have to pass math. No Plagiarism Please.
Answer:
1. shift -6 to the right side and plus with-20
2.shift 7 to other side and it will be multiply
3. 4x need to divide by 4 to get the value of x
The correct justification are 1) Add 6 on both side, 2) multiply by 7 on both side. 3) divide by 4 on both sides.
Adelle solved the equation 4x/7-6= -20 as shown. Correct justification for each step to be filled.
In mathematics simplification meaning to the step by step solution.
Here,
4x/7 = -14 ⇒ Addition of 6 both side.
4x = -98 ⇒ Multifaction by 7 on both sides
x = -24.5 ⇒ Division by 4 on both sides
Thus, the correct justification are 1) Add 6 on both side, 2) multiply by 7 on both sides. 3) divide by 4 on both sides.
Learn more about simplification here:
https://brainly.com/question/17579585
#SPJ2
HELP Will mark Brainliest!! Ignore if you don't know, Geometry problem: Point D is the incenter of triangleABC, if DE=x^2 and DF= 20-8x, find each of the following
Answer:
X=2
DG=4
Step-by-step explanation:
Answer:
X=2
DE=4
THE ANSWER IS UPPP
Suppose a binomial trial has a probability of success of 0.3, and 500 trials are performed. What is the standard deviation of the possible outcomes? Round
your answer to two decimal places.
O A. 10.25
OB. 8.94
O c. 6.71
D. 10.95
The standard deviation of the possible outcomes is to be considered as the 10.25.
Calculation of the standard deviation:Since there is a binomial trial has a probability of success of 0.3, and 500 trials are performed.
So here
q = 1 - P
= 1 - 0.3
=0.7
Now the standard devation be like
[tex]= \sqrt{500\times 0.3 \times 0.7}[/tex]
= 10.25
hence, The standard deviation of the possible outcomes is to be considered as the 10.25.
Learn more about standard deviation here: https://brainly.com/question/15699543
Which division problem does the diagram below best illustrate?
Christina sold raffle tickets at the school science fair. The pictograph
below shows how many tickets were bought by different types of people.
Number of Raffle
Tickets Bought
Women
Men
Girls
OC
Boys
Key:
= 5 tickets
What fraction of the total number of tickets was bought by girls?
1
5
A.
5
1
o
B.
4
O
2
C.
5
1
O
D.
2
Answer:
A. 1/5
Step-by-step explanation:
First off, ignore the "each one is five tickets" part, that's just there to confuse you. There are ten tickets total sold, of which two are sold to girls. You can express this as 2/10, which simplifies to 1/5.
Does anyone know the answers to I-ready ( Math Lvl F: Understanding Algerbretic Expressions)
Thank You
Answer:
B 10x+5
Step-by-step explanation:
:)
Hailey is 2 years younger than her sister. If Hailey is h years old, which equation represents the age of her sister, s?
Answer:
S=H+2
Step-by-step explanation:
OK, so hailey is the variable H. And she is 2 years younger than her sister.
What is the age of her sister?
So we know it has to be, hailey's age + something? = age of her sister.
what is that +something? it's the number "2 years younger" so hailey's age; which is h, plus 2 is equal to her sister's age.
H+2=S
OK, why do we need to add 2? instead of minus two? Because hailey is 2 years younger than her sister, so you want hailey's age. If you were to minus 2, you'd be thinking that hailey is OLDER than her sister. Because if you want to her sister's age, you would have to SUBTRACT 2 because you are OLDER than her. So if you are younger than the sister, you would add to get your sister's age.
Answer:
S=H+2
Step-by-step explanation:
I got it right and that all that matters.
Vincent's score is -35. naris score is 3/7ths of Vincent's score. how many points do they score in all?
Answer:
Step-by-step e
-35
Use these abbreviations for the properties of real numbers, and complete the flow diagram.
C. for the commutative property of addition
Cx for the commutative property of multiplication
2
Suggest e
A. for the associative property of addition
A. for the associative property of multiplication
Answer:
c and a
Step-by-step explanation:
Nicole is half as old as Donald. The sum of their ages is 72.
How old is Nicole, in years?
Answer:
24
Step-by-step explanation:
The sum of the their ages is 72. 48 divided by 2 is 24. 48 plus 24 is 72
Based on the sum of their ages and their age relationship, Nicole can be said to be 24 years.
Expression of Nicole's ageNicole is half as old as Donald which means that Donald is twice as old as Nicole. Assuming Nicole is aged x years, the equation would be:
Nicole age + Daniel age = 72
x + 2x = 72
Nicole's ageSolving would give:
x + 2x = 72
3x = 72
x = 72 / 3
x = 24
In conclusion, Nicole is 24.
Find out more on age relationships at https://brainly.com/question/24859453.
I need help! Whoever answers get brainlist. Please write a step by step so I know how to do it next time.
Answer: 8/3
Step-by-step explanation:
So first what you do is you have to add the whole number to the numerator and you do that by multiplying the whole number by the deniminator which is 6. Now you add the 6 to the numerator which is 8, so you get 8/3.
Sorry this got so complicated. Hope this helped!
1. A windshield wiper blade is 18 in Long. Calculate the area covered by the blade as it rotates through an angle of 122 degrees. Use 3.14 for pi. Round your answer to the nearest Square inch.
2. A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 75, what is the area that is watered as the sprinkler of 80 degrees? Use 3.14 for pi. Round your answer to the nearest square foot.
1. Area of a circle is pi x R^2
Area = 3.14 x 18^2
Area = 3.14 x 324= 1017.36 sq. In.
The blade covers 122 out of 360 degrees.
1017.36 x 122/360 = 345 square inches.
2.
Like above.
Area =3.14 x 75^2 = 17,662.5 square feet
17662.5 x 80/360 = 3,925 square feet.
The length of a rectangle is 5.9 cm more than 3 times the width. If the perimeter of the rectangle is 57.4cm, what are it's dimensions.
Answer:
l = 23 cm and w = 5.7 cm
Step-by-step explanation:
Perimeter = twice the length plus twice the width
let w = width
let l = length
l = 5.9 + 3w
57.4 = 2(5.9 + 3w) + 2w
57.4 = 11.8 + 6w + 2w
57.4 = 11.8 + 8w
45.6 = 8w
w = 5.7
Substitute 5.7 for 'w' to get 'l':
l = 5.9 + 3(5.7)
l = 23
Y=x+1, xy+2x=0
Help please
Answer:
x = 0,-3
y = 1,-2
Step-by-step explanation:
We can substitute x+1 for x in the second equation
x(x+1) + 2x = 0
x^2 + 3x = 0
x(x+3) = 0
x = 0,-3
y = 1,-2