Answer:
y = 1.5x(or d) + 8
Step-by-step explanation:
1.5 is the slope and 8 is the y intercept(the constant term)
Maximize B=XY^2 , where x and y are positive numbers such that X+Y^2=5.
Without using any calculus:
If x + y² = 5, then y² = 5 - x, so that
b = x y² = x (5 - x) = 5 x - x²
Complete the square to get
b = 25/4 - (x - 5/2)²
Then b gets a maximum value of 25/4 when x = 5/2.
Simple calculus method:
With b = 5 x - x², differentiate b with respect to x and set the derivative equal to 0 to solve for critical points:
db/dx = 5 - 2 x = 0 ==> x = 5/2
Take the second derivative to determine whether b is concave or convex:
d²b/dx² = -2
The second derivative is negative, which means b is concave with respect to x, and this indicates x = 5/2 is the site of a local maximum, which is b (5/2) = 25/4.
More complicated calculus method:
Lagrange multipliers. The Lagrangian is
L (x, y, λ) = x y² - λ (x + y² - 5)
where we assume λ ≠ 0.
Take its derivatives:
dL/dx = y² - λ
dL/dy = 2 x y - 2 λ y
dL/dλ = x + y² - 5
Set each derivative equal to 0 to find the critical points. The first equation tells us y² = λ, and the second equation tells us x = λ, so
x + y² - 5 = 2 λ - 5 = 0
Solving this gives λ = x = y² = 5/2, so that b has an extreme value of
b = (5/2) (5/2) = 25/4
Deciding whether this is a maximum or minimum comes down to computing the Hessian determinant at the critical value. The Hessian is
[tex]H(x,y)=\begin{bmatrix}\dfrac{\partial^2b}{\partial x^2}&\dfrac{\partial^2b}{\partial x\partial y}\\\\\dfrac{\partial^2b}{\partial y\partial x}&\dfrac{\partial^2b}{\partial y^2}\end{bmatrix}=\begin{bmatrix}0&2y\\2y&2x\end{bmatrix}[/tex]
with determinant |H (x, y)| = -4 y². At the critical point, the determinant is -10 < 0, which indicates a maximum value of 25/4.
the perimeter of a rectangular pool is 258 m. If the width of the pool is 52 m, what is its length?
Answer:77 is the length
Step-by-step explanation:52m times 2 =104 104-258=154 divided by 2 =77
Answer:
77
Step-by-step explanation:
Since the two widths is 52+52=104, then subtract that from the total perimeter, 258-104=154, and divide it by two to get the answer, 154/2=77.
4.05 x 10^-2 Standard Form
Answer:
0.0405
Step-by-step explanation:
10^-2 is the same as 1/100, so if you multiply 4.05 x 1/100, you get 0.0405.
Another way to think about it is by looking at the exponent -2. You need to move the decimal point 2 spaces to the left -- and add zeroes to any spaces that don't already have numbers.
So if you start with 4.05, and move the decimal one space to the left, you get 0.405, and then you move it one more space, and you get 0.0405.
PLEASE HELP!!! I DON’T KNOW THISSS
Jenny has only 3 1/2 cups of flour in her house. She needs 1 5/8 cups for a brownie recipe. Her sister Jody needs 1 3/4 cup flour for her cookie recipe. Will there be enough flour for both recipes?
Answer:
yes, she will still have 1/8 of a cup left
Step-by-step explanation:
you have to convert all the fractions to have the same denominator.
to do that you need improper fractions
3 1/2= 7/2
1 5/8= 13/8
1 3/4= 7/4
with this information, you need to find a common number between 2, 8, and 4. the largest number that they all fit into is 8.
so 7/2 becomes 28/8
13/8 stays the same
and 7/4 becomes 14/8
add 13/8 and 14/8 and subtract from 28/8
you get 1/8, which means you have enough flower for both recipes!
Answer:
[tex]YES.[/tex]
Step-by-step explanation:
[tex]if \: 1 \frac{5}{8} + 1 \frac{3}{4} = 3.375 \\ and \\ 3 \frac{1}{2} = \: 3.5 \\ then \: 3.5 > 3.375[/tex]
Help math hv 30 minutes
Answer:
8 milk cartons and 4 dollars
Answer:
It's 8 milk cartons and 4 dollars/Price
Dana graphs a point on a coordinate plane. The value of the x- coordinate of her is 5 more than the value of the y coordinate of her point. Which ordered pair could describe the point that Dana graphs.
A) (3,2)
B) (4,9)
C) (5,5)
D) (6,1)
find the measure of angle L this is the last question mark brainest ty so much xx
Answer:
∠L = 50°
Step-by-step explanation:
∠R = 109°
∠U is supplementary to ∠R
This means ∠R + ∠U = 180°
109° + ∠U = 180°
Subtract ∠R from 180° to get ∠U
∠U = 81°
A triangle's angles must add up to 180, so if we take ∠U + ∠E, we figure out what 2 of the 3 angles add up to, we can then subtract this sum from 180 to figure out ∠L
81° (This is ∠U) + 49° (This is ∠E) = 130°
180° (Sum of all of a triangle's angles) - 130° (Sum of ∠U and ∠E) = 50° (∠L)
Answer:
∠L = 60°Step-by-step explanation:
see attached image.
add all internal angles and equal to 180
∠U + ∠L + ∠E = 180
∠U = 180 - 109
= 71
plug in values from equation:
∠U + ∠L + ∠E = 180
71 + ∠L + 49 = 180
∠L = 180 - 49 - 71
∠L = 60
Can you use the same multiplication fact to find 4x60 and 3x80
Answer:
Yes you can
Step-by-step explanation:
Express the shaded area as a fraction, a decimal, and a percent of the whole.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Fraction :
[tex] \frac{1}{2} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Decimal :
[tex]0.5[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Percent : 50 %
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
HARRY I NEED HELP FAST 15POINTS
Which expressions are quadratic expressions? Check all that apply
z^2
2x + 7x - 10
2x^2 + 9x - 7
500(0,25)^t -1
13x^3 + 21x^2-5
Answer:
First,Third Only
Step-by-step explanation:
Quadratic expression are those expression where the variable has a degree of maximum 2 and only the first and third expression have the degree of 2 in the choices. 2nd choice is a linear expression because both the variables have degree 1. 4th choice has a degree of t which means its an exponential expression, and 5th choice has the degree 2 and 3 but the maximum degree is 3 so it isn't a quadratic is a cubic equation.
Standard form of a quadratic expression
[tex]ax^2+bx+c[/tex]
I need help fast
please help me
Answer:
14
Step-by-step explanation:
What is 6 x 7 ones??
Answer:
42 it is the answer i think
Step-by-step explanation:
6 × 7 = 42
6×1 = 6
6×2 = 12
6×3 = 18
6×4 = 24
6×5 = 30
6×6 = 36
6×7 = 42
6×8 = 48
6×9 = 54
6×10 = 60
A1 plumbing service charges $35 per hour plus a $25 travel charge for a service call. Good guys plumbing repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount?
Answer: 5 hours
Step-by-step explanation: the equation is
35x + 25 = 40x just solve it to get 5
FAST HBELP 1min oijdfgpidfgdfgdfgg
Answer:
it looks like you have it right
Step-by-step explanation:
jacinda May 16 baskets during the basketball game Greta May 4 baskets the number of baskets jacinda made is how many times more than a number of baskets Greta made
Answer:
4
Step-by-step explanation:
Which equation represents a line that is parallel to y= -4x+3
Parallel lines have the same slope, so as long as the line has the same slope (y = -4x +b where b is any constant number other than 3) it is parallel.
Item 16
Determine whether there is a proportional relationship between your cousin's age, in years, and your age, in years.
yes
no
Answer:
yes, i think, hope i helped ^_^ there has to b a proportional relationship between them
Step-by-step explanation:
Answer:
i think its yes not to sure sorry
Step-by-step explanation:
least common denominator of 7/2 and1/2
A housing policy research group reported that the proportion of homeowners in the U.S. who struggle to make monthly mortgage payments is 0.29, or 29%. A real estate company is interested in examining this claim in a particular state that has experienced recent economic hardships Refer to the information above regarding the survey of homeowners with mortgages. The survey found that in a sample of 451 randomly selected homeowners, 183 reported having difficulty paying their mortgages each month. If a hypothesis test were to be conducted to determine if the problem is worse in this particular state, which of the following would be the correct value of the test statistic? Choose the closest value, taking all calculations to four decimal places.
a) 5.42
b) 0.45
c) 0.36
d) 18.99
e) 0.26
Answer:
The option is A
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.29[/tex]
The sample size is n = 451
The number that was having difficulty is k = 183
Generally the sample proportion is mathematically represented as
[tex]\^ {p} = \frac{k}{n}[/tex]
=> [tex]\^ {p} = \frac{183}{451}[/tex]
=> [tex]\^ {p} = 0.4058[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{ \^ {p} - p }{ \sqrt{\frac{p (1-p)}{n} } }[/tex]
=> [tex]t = \frac{0.4058 - 0.29 }{ \sqrt{\frac{0.29 (1-0.29)}{451} } }[/tex]
=> [tex]t = 5.42 [/tex]
Draw the triangle ABC on a coordinate plane given the following points A (0,0) B (4,-10) C (10,-4)
draw a picture of ur triangle
Answer:
This is very easy.
Step-by-step explanation:
Get a graph. The top of your triangle would be (0,0), the next angle or point would be (10,-4), and the last would be (-4,10). If graphed, the triangle would look like a triangle slanted to the left. To picture this, the top of your triangle would be diagonal to the second point (10,-4). Remember it's slanted to the left. That should be easier to picture.
The United States of America consists of 50 states and _____ territories.
A.
3
B.
4
C.
5
D.
6
Answer:
USA has five territories. 5 have a permanent, nonmilitary population but tbe over nine don't. 14 all together.
Answer:
C.) 5
Step-by-step explanation:
Hope you have a good day and get good grades
The houses on a city block were thought to be valued at $175,000, $163,000,
$142,000, $135,000, $191,000, $122,000, and $147,000, respectively. But a
public assessor has determined that the value of each house is actually
$20,000 higher than previously thought. According to the public assessor,
what is the median value of the houses?
O A. $162,000
O B. $167,000
O c. $155,000
O D. $147,000
SUBMIT
Answer:
$167,000
Step-by-step explanation:
THAT'S THE ANSWER.COM
The median value of the houses is $167,000.
MedianWhat is median value?The middle number in a collection of numbers is known as the median.
How median is calculated?Check to see if 'n' is an even number of values.Find the two numbers that are in the centre of the table of data. Adding the two middle numbers together and dividing the result by two will yield the average of the two numbers.The median is the outcome of this average.Calculation for the median of the houses:The initial value of the 7 houses were,
$175,000, $163,000, $142,000, $135,000, $191,000, $122,000, and $147,000.
As, the value of each house were increased by $20,000.
The value of houses after increment,
$195,000, $183,000, $162,000, $155,000, $211,000, $142,000, and $167,000.
Arrange the values in the increasing order.
$142,000, $155,000, $162,000$, 167,000, $183,000, $195,000, $211,000.
Since, the given data has 7 values which is a odd number. So, values come in the middle is $167,000.
Therefore, the median value of the houses is $167,000.
To know more about how to find average?, here
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Lead in Medicine Listed below are the lead concentrations (in μg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States (based on data from "Lead, Mercury, and Arsenic in US and Indian Manufactured Ayurvedic Medicines Sold via the Internet," by Saper et al., Journal of the American Medical Association, Vol. 300, No. 8. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 μg/g.
3.0 6.5 6.0 5.5 20.5 7.5 12.0 20.5 11.5 17.5
Step-by-step explanation:
We start by calculating mean and standard deviation
Mean = sum of all values/total number of values
= 110.5/10
= 11.05
Standard deviation = √375.725/9
= √41.7472
= 6.46
Null hypothesis =
h0: μ = 14
Alternate hypothesis =
H1: μ < 14
Alpha is set at 0.05
Test statistic
T = mean - (μ)/(sd/√n)
=(11.05-14)/(6.46/√10)
= -2.95/2.0428
= -1.4441
P value calculator
df = n-1 = 10 -1 = 9
P Value = trust(x,df,tails)
= trust(1.4441,9,1)
= 0.0913
In conclusion our pvalue is greater than alpha level at 0.05 so we do not have sufficient evidence to reject the null hypothesis. We do not have enough evidence to accept the alternate so we reject claim that mean lead concentration for all such medicine is < than 14μg/g
4x+y+6z=7
3x+3y+2z=17
-x-y+z=19
Answer:
the 2nd one
Step-by-step explanation:
If the perimeter of this isosceles triangle is at most 45 centimeters, which inequality could be used to find the value of p?
4p - 6 < 45
7p - 12 < 45
6p - 12 < 45
5p - 6 < 45
Answer:
Step-by-step explanation:
7p-12< 45
_
The inequality that can be used to find p is 7p -12 < 45. The correct option is B.
What is a Triangle?A triangle is a polygon with three sides, three angles, and three vertices.
The perimeter of the given triangle is at most 45 centimeters.
The perimeter of a triangle is equal to the sum of all sides
The sides given is 3p-6 , 3p-6 ,p
So,
3p-6 +3p-6 +p < 45
7p -12 < 45
Therefore, the inequality that can be used to find p is 7p -12 < 45. The correct option is B.
To know more about Triangle
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“) Order the values from least to greatest.
HHHH
3
2
13
1
5
5
-2-
show me the venn diagram
Step-by-step explanation:
A Venn diagram, also called primary diagram, set diagram or logic diagram, is a diagram that shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set. The points inside a curve labelled S represent elements of the set S, while points outside the boundary represent elements not in the set S. This lends itself to intuitive visualizations; for example, the set of all elements that are members of both sets S and T, denoted S ∩ T and read "the intersection of S and T", is represented visually by the area of overlap of the regions S and T.[1][2] In Venn diagrams, the curves are overlapped in every possible way, showing all possible relations between the sets. They are thus a special case of Euler diagrams, which do not necessarily show all relations. Venn diagrams were conceived around 1880 by John Venn. They are used to teach elementary set theory, as well as illustrate simple set relationships in probability, logic, statistics, linguistics, and computer science.
Venn diagram showing the uppercase glyphs shared by the Greek, Latin, and Cyrillic alphabets
A Venn diagram in which the area of each shape is proportional to the number of elements it contains is called an area-proportional (or scaled Venn diagram).
Blank x 0.9 = 0.18 i need help asap
Answer:
the answer is 0.2 i think..
Step-by-step explanation:
Answer:
blank = 0.2
Step-by-step explanation:
0.2*0.9=0.18
Mrs. Moeser weights her grades. Tests are worth 60%, quizzes are worth 20%, homework is worth 10% and notebooks are worth 10%. Mike has a quiz average of 87, a homework average of 65, and a notebook average of 70. What does Mike's test average have to be for him to receive a 90 or higher?
Answer:
It has to at least be a 90Step-by-step explanation:
Which fraction is equivalent to this decimal?
0.16¯
Answer: 4/25 ILY <3
Step-by-step explanation:
Answer:
1/6?
Step-by-step explanation: