Answer:
Samantha will earn $1,150 on the 7th day.
Step-by-step explanation:
Linear Modeling
It consists of finding the equation of a line that represents the data provided in a specific situation.
Tina's (or Samantha's) earnings are $550, x, $750,... where x is an unknown amount for the second day of her new restaurant.
The earnings continue to increase at the same rate until the 7th day. We must find the earnings for that last day.
The linear model can be found in several ways. We'll use the slope-point form of the line, finding first the slope and then the y-intercept.
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
1) Find the slope
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (1,550) and (3,750), thus:
[tex]\displaystyle m=\frac{750-550}{3-1}=100[/tex]
2) Get the equation of the line
Substituting into the equation of the line, we get:
y=100x+b
Select the point (1,550), substitute into the above equation, and solve for b:
550=100(1)+b
Solving:
b=450
Thus we complete the equation of the linear model:
y=100x+450
3) Substitute 7 for x
y=100(7)+450
y=1,150
Samantha will earn $1,150 on the 7th day.
Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn + 1 agree to three digits after the decimal point.
Solution :
Given
[tex]$f(x)=x^3-x-1, x_1=1$[/tex]
[tex]$f'(x)=3x^2-1$[/tex]
Let the initial approximation is [tex]$x_1 =1$[/tex]
So by Newton's method, we get
[tex]$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$[/tex]
[tex]$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$[/tex]
[tex]$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$[/tex]
[tex]$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$[/tex]
[tex]$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$[/tex]
[tex]$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$[/tex]
[tex]$x_5 \approx x_6$[/tex] are identical up to eight decimal places.
The approximate real root is x ≈ 1.32471795
∴ x = 1.32471795
Skew lines are parallel.
Sam completed a race that is 7 kilometers long. Which distance is closest to the number of miles Sam ran?
Answer:
Sam ran around 4.3 miles.
around 4.35 miles my guy
Given a:b and b:c, find a:b:c. Write the ratio in simplest form. a:b=10:25 and b:c=45:27
Answer:
a:b:c=2:5:3
Step-by-step explanation:
a:b=10:25
a:b=2:5(divided by 5)
b:c=45:27
b:c=5:3(divided by 9)
a:b:c=2:5:3
If gas is $2.50 per gallon, and John drives a car that goes 20 miles per gallon, how much gas would it cost if John drove 60 miles?
Answer:
$7.50
Step-by-step explanation:
Answer: 7.50
Step-by-step explanation: 20 can go into 60 3 times so 2.50X3 =7.50
Which inequality represents all the values of x for 46 < -6( x − 18) ?
Answer:
69
Step-by-step explanation:
because it is jjujujujujuj
Emily is entering a bicycle race for charity. Her mother pledges $0.30 for every 0.5 miles she bikes. If Emily bikes 8 miles, how much will her mother donate?
Answer:
4.80
Step-by-step explanation:
Answer:
Her mother will donate $4.80
Step-by-step explanation:
Divide the number of miles she rode by 0.5 miles. Then multiply it by $0.30.
Leigh and Sara paid $1,178 last month to rent their apartment. Last month had 31 days. They divide to find out how much they paid per day. ?
Answer:
Step-by-step explanation:
Divide 1178 by 2 will equal 589
This is how much each will pay per month
589 divided by 31 = 19 dollars a day per person
Answer: first quoitent is 31 second quotent is 6
Step-by-step explanation:
divide 1,178 with 31 so thats how you get your answer
https://brainly.com/question/add?entry=1642&task_content=MS.+Donaldson+earn+%2418.80+for+the+first+40+hours+she+work+I+a+week+she+earns+1+y+medio+times+amount+per+hour+for+each+hour+beyond+40+hours+in+a+week+last+week+Ms.+Donaldson+worked+45.5+hours+how+much+money+did+she+earn
a number is chosen at random from 1 to 25 find the probability of selecting a composite number
Answer:
0.6
Step-by-step explanation:
probability of choosing a composite number, since all composite numbers from 12 are, 2,4,6,8,10,12 (might have left some out) but those are 6 chances you can pick a composite number :)
Allyson walked 10.8 km to the school. If 1 mile = 1.6 km, about how many miles did she walk?
Answer:
According to my calculations, 1.6 goes into 10.8 a total of 6 times with a remainder of 1.1999999999999993. If you continue the long division beyond the decimal point, the result would be 6.75.
Step-by-step explanation:
Answer:
6.75 miles
Step-by-step explanation:
1.6 km = 1 mile
1 km = 1/1.6 mile
10.8 km = [tex]\frac{1}{1.6}*10.8[/tex]
= 6.75 miles
True or false question please help :)
Answer:
TrueStep-by-step explanation:
:D
How many different choices are possible?
Answer:
11628
Step-by-step explanation:
explanation I do not know
7 times a number is the same as 1 more than 3 times the number. What is the number?
Answer:
7n=12+3n
Step-by-step explanation:
Marta’s customer bought 4 large oranges at $0.75 each and 8 small oranges at $0.50 each plus tax was a total of $7.49. She used t to represent the amount of tax. Explain her errors in the diagram.
A bar diagram. The top box contains t. The bottom 3 boxes contain 7.49, 0.75 (8), and 0.50 (4).
Answer:
T should not have been in the top box the top box should have had 7.49 in it
Answer:
The total, 7.49, should be the top bar, and the variable, t, should be one of the partial bars. The prices for a certain number of oranges is also incorrect. $0.75 should be multiplied by 4 and $0.50 multiplied by 8.
Step-by-step explanation:
67 lbs is how many ounces? Round to the nearest tenth. 1 pound (lb) = 16 ounces (oz)
Your answer
Answer:
1070 ounces
Step-by-step explanation:
Four time the sum of twice a number and six is thirty-two find the number
Help please (:
Answer:
yes the answer is 8.
Step-by-step explanation:
a = 4 and b = 2
whoever answers first gets brainliest and 50 points
Answer:
14
Step-by-step explanation:
6. Place your work for both Part A and B in the space provided.
Part A: Select the option that best fits the scenario.
Gloria earned $400. She needed $320 for a new Chromebook.
What percent of the amount earned is the amount needed?
Which is the correct expression of this situation? (a or b)
a) 400 is what percent of 320?
b) 320 is what percent of 400?
Part B: Show your work to find the percent.
9514 1404 393
Answer:
A: (b) 320 is what percent of 400
B: 80%
Step-by-step explanation:
Part A:
This is a reading comprehension question. You are told that ...
$320 is the amount needed
$400 is the amount earned
and you are asked to find ...
what percent of the amount earned is the amount needed?
The question can be rephrased as ...
the amount needed is what percent of the amount earned?
Filling in the amounts you are told, the rephrased question becomes ...
$320 is what percent of $400 . . . . . matches choice (b)
__
Part B:
If we let x represent "what percent", then we can write the above question as ...
320 = x · 400
Dividing by 400 gives ...
320/400 = x = 0.80 = 80%
That is, 320 is 80% of 400.
Answer these 2, i need help badly
What is 25 percent of 200?
What is 50 percent of 600?
Answer:
Step-by-step explanation:
50,300
Answer:
1. 50, 2. 300
Step-by-step explanation:
For 25 of 200, we can duplicate 100 and 25, which would turn out to be 50 and 200.
For 50 and 600, we can divide 600 by 2 to get 50 percent of it.
Answers:
25 of 200 = 50
50 of 600 = 300
1. Which monomial has the highest
degree?
A 18a5
B 12ab
C 9ab
D 6abaca
Question:Which monomial has the highest degree? Answer:
The sum of the exponents of the variables in the monomial. This must be positive and cannot be a fraction or decimal. i think A 18a5 is the answer please do tell me if i am wrong it took me a bit to get this answer have a nice weekend
is (-1,5), (-2,6), (-3,7) a function
Please answer 200 points with brainleist
Answer:
The slope of the following relationship is proportional. Rhoda can show that the line is constant by emphasizing how the line is straight and connects with (0,0)
a. True
b. False
c. False
d. True
Step-by-step explanation:
I'm not completely sure about my answers but I really tried Hope I helped a little bit. :)
Have a great day :)
Answer:
It is following
Step-by-step explanation:
That she spends more money every time because she keeps using the minutes
It costs $3.45 to buy 3/4 pounds of chopped walnuts. How much would it cost to purchase 7.5 pounds of walnuts? Explain your reasoning
Mallory bought 6.2 yards of fabric. How many feet of fabric did she buy? (1 yard= 3 feet)
Multiply total yards by 3
6.2 yards x 3 = 18.6 feet
Answer:
18.6 , if wrong correct me
Step-by-step explanation:
Re-write the quadratic function below in Standard Form
y = -5(x - 4) 2squared+ 5
Answer:
Step-by-step explanation:
Just to get points
It says choose all of the multiple choice answers that are true about the diagram
Answer:
C. and E.
Step-by-step explanation:
Complimentary angles are two angles that both measures create the same degree as a right angle, or 90 degrees
Looking at the graph, we see 1 right angle, which is 9. Therefore we can cross out any answer that includes <9 in it.
Let's look at 7, this is an obtuse angle, WAY more than 90 degrees, therefore we can cross out any answer that includes <7 in it.
Meaning we only have three exceptable degrees, <6, <5, and <8.
There are only 2 answers that follow these rules. C and E
HELP IM TIME
George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 and one-third cm. Which statement explains which phone has the wider screen?
Answer:
Screen B is wider, because 5 and one-third is greater than 5.3..
Step-by-step explanation:
Got it correct on edge
What is n+2<6 please I need this very much.
XC
Answer:
n<4
Step-by-step explanation:
n+2<6
Subtract 2 on both side
n+2<6
-2 -2
n<4
Find the x-intercept of 4x−2y=8
Answer:
(2,0)
Step-by-step explanation:
