Answer:
y = (x - 3)²-2 is the correct answer
i need help on this problem im clueless right now…
Answer:
domain: 4, -4, 2, 3, 10
range: 9,3,-5
FUNCTION
Step-by-step explanation:
help pls due a 9:45am
Answer: 1: It's D
Step-by-step explanation:Lou sold more jewerly because 40 is 20% of 200 and jacob only sold 35.
Find the value of k so that the line passing through a pair of points has the given slope.
(1, k) and (4, 1), slope = -2
k =?
[tex]\hspace{34em}|\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{k})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{k}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{1}}}~~ ~~\stackrel{\stackrel{slope}{\downarrow }}{-2} \\\\\\ \cfrac{1-k}{3}= -2\implies 1-k=-6\implies -k=-7\implies k = \cfrac{-7}{-1}\implies \boxed{k = 7}[/tex]
(b). A mathematical biologist created a model to administer medicine reaction (measured in change of blood pressure or temperature) with the model given by R=m² (C /2- m/3). where c is a positive constant and m is the amount of medicine absorbed into the blood. The sensitivity to the medication is defined to be the rate of change of reaction R with respect to the amount of medicine m absorbed in the blood. (1) Find the sensitivity, R'.
(ii) Find the amount of medicine that is being absorbed into the blood when the reaction is maximum.
(iii) Find the instantaneous rate of change of sensitivity with respect to the amount of medicine absorbed in the blood.
(iv) Find the amount of medicine that is being absorbed into the blood when the sensitivity is maximum.
[Verify your answer by MATHEMATICA and attach the printout of the commands and output
(i) If R(m) = m² (c/2 - m/3) = cm²/2 - m³/3, then differentiating with respect to m gives the sensitivity function,
R'(m) = cm - m²
In Mathematica, define a function R by
R[m_] := m^2*(c/2 - m/3)
Then you can get the derivative with either R'[m] or D[R[m], m].
(ii) Find the critical points of R, i.e. the points for which R' is zero or undefined. Since R' is a polynomial, it is defined everywhere, so we only care about the first case. We have
R'(m) = cm - m^2 = m (c - m) = 0
with solutions m = 0 or m = c.
Compute the second derivative of R :
R''(m) = c - 2m
Check the sign of R'' at each critical point:
R''(0) = c - 0 = c > 0, which indicates a minimum at m = 0R''(c) = c - 2c = -c < 0, which indicates a maximum at m = cAt the second critical point, we have a maximum value of
R(c) = c³/2 - c³/3 = c³/6
In M, we get the same result via
Maximize[R[m], m]
which should return a list like
{c^3/6, {m -> c}}
where the first element is the maximum, and the second element is a list with a rule pointing the target variable m to the critical point.
(iii) We've done this in part (ii) already while carrying out the second derivative test above,
R''(m) = c - 2m
In M, this is accomplished by R''[m] or D[R[m], {m, 2}].
(iv) We carry out the derivative test like in part (ii), but this time for R'. We have critical points when
R''(m) = c - 2m = 0
which occurs for m = c/2. The second derivative of the sensitivity function is the third derivative of R,
R'''(m) = -2
which is negative for all values of m, which means R' is in fact maximized at m = c/2. At this point of maximum sensitivity, we have
R(c/2) = c(c/2)²/2 - (c/2)³/3 = c³/8 - c³/24 = c³/12
In M, run
Maximize[R'[m], m]
Please please help please help me please please help me
Answer:
y = 3/4x +1/4
Step-by-step explanation:
Counting grid squares between the marked points, we find the point on the right is 6 units up and 8 units right of the one on the left. That means the slope of the line is ...
m = rise/run = 6/8 = 3/4
The y-intercept can be found from the slope and one of the points. The coordinates of the point on the left are (x, y) = (-3, -2), so we have ...
b = y -mx
b = -2 -(3/4)(-3) = -2 +9/4 = 1/4
Then the equation of the line is ...
y = mx +b
y = 3/4x +1/4
Below are three advertisements for the same mini fridge from three different stores. You will need to get a credit card from one of the stores in order to buy the fridge. Complete the calculations to determine what the best deal is for you. Show your work!
Mini-Fridge Cost: $300
New Applicant Discount: 10%
Annual Interest Rate: 14.99%
Minimum Monthly Payment: $23
Mini-Fridge Cost: $285
New Applicant Discount: 5%
Annual Interest Rate: 15.99%
Minimum Monthly Payment: $19
Mini-Fridge Cost: $315
New Applicant Discount: 12%
Annual Interest Rate: 12.99%
Minimum Monthly Payment: $26
Part 1: If you only make the minimum payment each month, how long will it take you to pay off each bill AND what is your total for each credit card?
Part 2: If you pay $70 per month for the first 5 months, what will your remaining balance be for each credit card in the 6th month.
Answer:
a) 13 months, $293.82. b) 16 months, $302.25. c) 12 months, $296.18a) $71.55 cr. b) $70.17 cr. c) $65.13 cr. (Or, all are 0 in the 6th month)Step-by-step explanation:
Part 1The attached spreadsheet shows the remaining balance after each payment for each of the payment scenarios. The negative balance at the end of the payment period represents the credit that the account would have if the last payment is the full minimum payment amount. In real life, the last payment would be reduced by that value.
Card A. The 13th payment will result in a credit. It takes 13 months to pay off the credit card. The total of payments is 13×$23 -5.18 = $293.82.
Card B. The 16th payment will result in a credit. It takes 16 months to pay off the credit card. The total of payments is 16×$19 -1.75 = $302.25.
Card C. The 12th payment will result in a credit. It takes 12 months to pay off the credit card. The total of payments is 12×$26 -15.82 = $296.18.
The best deal is Card A.
__
Part 2All of the cards will be completely paid off in 5 months. The remaining balance in the 6th month is zero. The above "Answer" block shows the credit balance each card will have if payments continue to be made for 5 months.
The best deal is Card A, which will have the lowest total of payments.
_____
How the calculations are done
The balance at each step in the spreadsheet is computed as ...
(previous balance) × (1 + rate/12) - (payment)
For example, the balance after the first payment on card A is ...
$270 × (1 +0.1499/12) -23.00 = $273.37 -23.00 = $250.37
Each calculation is rounded to cents, as it would be on a real credit card.
Suppose that in 2017, 52% of U.S. households had only wireless telephone service (no landlines). Suppose that in 2021, 56% of a random sample of 100 U.S. households had only wireless telephone service.
1. Using the proportion from 2017, calculate the standard error. (Remember, in the modules this test covers, we usually use the earlier year's proportion as an estimate of this year's proportion when we are calculating the standard error.)
2. Does the data allow the use of a normal model for our calculations? Explain your reasoning.
3. In this part of the test, we'll go ahead and use a normal model, regardless of whether you got "yes" or "no" as your answer to part (b). Using a normal model, calculate the approximate 95% confidence interval for the percentage of all U.S. households in 2021 that have only wireless telephone service. Explain your reasoning.
Using proportion concepts, it is found that:
1. The standard error is of 0.05.
2. Since both [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex], a normal model can be used.
3. The 95% confidence interval for the percentage of all U.S. households in 2021 that have only wireless telephone service is (46.27%, 65.73%).
Item 1:
The standard error for a proportion p in a sample of size n is given by:
[tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]
For 2017, we have that:
52% of the households, hence [tex]p = 0.52[/tex]Sample of 100 households, hence [tex]n = 100[/tex]Then:
[tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]
[tex]s = \sqrt{\frac{0.52(0.48)}{100}}[/tex]
[tex]s = 0.05[/tex]
The standard error is of 0.05.
Item 2:
The normal model can be used if: [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex]
[tex]np = 100(0.52) = 52 \geq 10[/tex]
[tex]n(1 - p) = 100(0.48) = 48 \geq 10[/tex]
Since both [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex], a normal model can be used.
Item 3:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
Estimate of 2021, which was of 56%, hence [tex]\pi = 0.56[/tex].
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.56 - 1.96\sqrt{\frac{0.56(0.44)}{100}} = 0.4627[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.56 + 1.96\sqrt{\frac{0.56(0.44)}{100}} = 0.6573[/tex]
As a percentage:
0.4627 x 100% = 46.27%
0.6573 x 100% = 65.73%
The 95% confidence interval for the percentage of all U.S. households in 2021 that have only wireless telephone service is (46.27%, 65.73%).
A similar problem is given at https://brainly.com/question/16807970
How much water should be added to 180 liters of a 25% saline solution to make an 18% saline solution?
Answer:
it should be 14 liters if it's not I'm sorry
Hi i need help with this
Answer:
i dont know if this helps but triangle area= 1/2 times b divided by 2
Step-by-step explanation:
Shows that n+1Cn= mCn-1 + mCn
Answer:
I think the Question is incorrect; the left hand side of the equation should be
m+1Cn
Step-by-step explanation:
(n+8)+(n-12)
Find the sum
Answer:
2n-4
n + 8 + n - 12
( n + n ) + ( 8 - 12 )
( 2n ) + ( -4 )
2n - 4
Please help me help help me please help me out please please help please
Answer:
a
Step-by-step explanation:
hlep with ixl please q.17
What is left if I spend 8/15 of my pocket money in fraction?
Answer:
Step-by-step explanation:
You'd start with p, the whole amount of your pocket money, and then subtract (8/15)p, obtaining (7/15)p. In other words, you'd be left with seven fifteenths of your beginning pocket money.
If I spend 8/15 of my pocket money in fraction, then I have left 7/15 money.
What is subtraction?The mathematical operation is subtraction. It is employed to eliminate words or expression's objects.
Given:
I spend 8/15 of my pocket money in fraction.
Let n be the total pocket money.
Then,
left money = n - 8n/15
Left money = (15n - 8n)/15
Left money = 7n/15
Therefore, 7/15 fraction money is left.
To learn more about the subtraction;
https://brainly.com/question/2346316
#SPJ2
Which fraction is equivalent to 2/10
Answer:
1/5
Step-by-step explanation:
I have more if you need them
Answer:
4/20. 1/5. 6/30. etc
Step-by-step explanation:
make sure you add the answer options for more help :)
Plzzz hurry I’ll give you brainiest
Given the line and a point on the line, what is the equation of the line in point-slope form?
A) y +60 = 2(x + 40)
B) y + 60 = 2(x - 40)
Oy - 60 = 2(x + 40)
D) y - 60 = 2(x – 40)
Please, if you can answer this, answer my other similar ones as well. I appreciate any help so much!
Answer:
A. corresponding angles
Step-by-step explanation:
I hope that I could help!!!!!
find the sum
13,131.2+138.13
Answer:
13269.33
Step-by-step explanation:
Need help ASAP
Find a value for A that makes each statement true.
a. A / 6 is greater then 1
b. A / 6 is equal to 1
c. A / 6 is less then 1
d. A / 6 is equal to a whole number
Answer:
yikes shes just some simple fractions
a. 12/6
b. 6/6
c. 3/6
d6/6
Which of the following is a complex number? (Look at picture)
3
- V151 - VIE
o **V7-4*?
-4
3 + - 7 + 7
+
- 7/ - 70 V
o
27 2
28
27
28
V3
Answer:
B.
Step-by-step explanation:
In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.
What value of w makes the equation below true 7w - 3w = 2(3w + 11)
Answer:
w = -11
Step-by-step explanation:
[tex]7w-3w=2(3w+11)\\4w=6w+22\\-2w=22\\w=-11[/tex]
Answer:
w = -11
Step-by-step explanation:
7w - 3w = 2(3w + 11)
Combine like terms on the left
4w = 2(3w + 11)
Divide by 2
4/2w = 2/2(3w + 11)
2w =(3w + 11)
Subtract 3w from each side
2w-3w = 3w+11-3w
-w = 11
Multiply by -1
w = -11
no links A runner completed 27 laps around the track in 43.2 minutes. If he kept the same pace for each lap, how many minutes did it take to complete 1 lap?
A.
1.23
B.
1.43
C.
1.5
D.
1.6
Answer:
D
Step-by-step explanation:
43.2/27=1.6
.Which deal is better to buy 9 pounds of bananas for $5.49 3 pounds of bananas for $1.59
Answer:
3 pounds of bananas for $1.59
Step-by-step explanation:
9 pounds of bananas for $5.49
5.49 / 9
0.61
3 pounds of bananas for $1.59
1.59 / 3
0.53
Comparing
0.61 < 0.53
0.53 -> 3 pounds of bananas for $1.59
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Please find the correct answer for this question because I will give you hearts and brainliest and also it is worth a lot of points. It is from savass this assignment so please get it correct.
Answer:
Step-by-step explanation:
(4/6 - 5/6) / (3/4)(-1/6)/(3/4) -1/6 X 4/3-4/18-2/6-1/3Plz help I need help
Answer:
-4.3
Step-by-step explanation:
Add 1.2 to both sides to get rid of -1.2
a=-4.3 is what you come up with
Answer:
-27
Step-by-step explanation:
-1.2=-5.5
signos en la multiplicacion
- con + = -
+ con - = -
+ con + = +
- con - = +
-1.2=-2
-5.5=-25
-25-2=-27
signos en la resta y suma
+ con + =+
- con - = -
- con + = el valor mayor es que define el signo
+ con - = el valor mayor es que define el signo
Which figure is a net for a cube?
Marcos and his sister Yvette record their age each year in an annual scrapbook. The table below shows their recorded ages for the past three years.
Which equation correctly shows the relationship between Marcos's age, m, and Yvette's age, y?
Answer:
y = m - 6
Step-by-step explanation:
You can plug in the values and each time the equation comes out true
4 = 10 - 65 = 11 - 66 = 12 - 6Answer:
Step-by-step explanation:
You can plug in the values and each time the equation comes out true
4 = 10 - 6
5 = 11 - 6
6 = 12 - 6
When y = 24, x = 3
Find y when x = 4
Answer:
y=32
Step-by-step explanation:
The relationship between the value of x and y is multiplying by 8, therefore when x equals 4, y equals 32.
A cheerful teen willing to help,
listening to "Rise Up,"
stay salty...
Answer:
32
Step-by-step explanation:
simplify 24/3 = 8 then (24 / 4) * (2) = 48/8 = 6 = 6/8 = 3/4 we need to divide 24 by 3/4 = 32 or show 24 * 3/4 = 32 32 * 3/4 = 24
HELP PLEASE! NO LINKS
Answer:
The answer is b the slope is negative 2 and the y-intercept is (0,3)
Step-by-step explanation:
The y-intercept is simply the point of the line that is on the y-axis. And a point can only be on the y-axis if it's x coordinate is zero. So from the table you can tell that the y-intercept is (0,3)
To find the slope you use the equation Y=Mx+b. In the equation M represents the slope, b represents the y-intercept and x and y represent the x and y of a point on the line. First plug in the y-intercept into the equation. You will get 3 =m(0) + b. Which you can use to find out that b is 3. Now your equation is 3 = Mx + 3. Now you can put in another to solve it. let's do the point (2,-1). You plug in the x and Y to get the equation -1 = m(2) +3. Subtract 3 from both sides to get -4 =m(2). Then divide 2 from both sides to get m=-2. Therefore the slope is -2
4.
Which equation is represented by the graph?
A. y = 1/2x^2 + 1
B. y = 2x2 − 1
C. y = x2 − 1
D. y = 2x2 + 1
Answer:
A
Step-by-step explanation:
You can eliminate B and C because the y intercept in 1, not -1. Then, you can also eliminate D, because it is a linear equation.
Answer: The answer is NOT Letter C. y = x2 − 1
A. y = 1/2x^2 + 1
Step-by-step explanation: Math.way
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: ( 0 , 1 )
Focus: ( 0 , 3 /2 )
Axis of Symmetry: x = 0
Directrix: y = 1 /2
x y
− 2 3
− 1 3
2 0
1 1
3 2
2 3
