the first one is 7
the second one is 5
the third one is -5
Answer:
4 – (– 3) = 4 + 3 = 7
-2 – (– 7) = -2 + 7 = 5
-9 – (– 4) = -9 + 4 = -5
-TheUnknownScientist 72
Use Lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter p is a square. Let the sides of the rectangle be x and y and let f and g represent the area (A) and perimeter (p), respectively. Find the following. A = f(x, y) = p = g(x, y) = ∇f(x, y) = ????∇g = Then ???? = 1 2 y = implies that x = . Therefore, the rectangle with maximum area is a square with side length .
Answer:
a) Rectangle of maximum area ( given perimeter p ) is
A= x² That means the rectangle of maximum area, is a square
Step-by-step explanation:
The equation: A (x,y) = x*y is the area of a rectangle ( to maximize)
Subject to: p = 2*x + 2*y or g(x,y) = 2*x + 2*y -p
Now
A(x,y) = x*y δA/δx = y δA/δy = x
And
g(x,y) = 2*x + 2*y -p
δg(x,y)/δx = 2 and δg(x,y)/δy = 2
Matching respective partial derivatives we get a system of equation
δA/δx = y = λ * = δg(x,y)/δx = 2
y = 2*λ
δA/δy = x = 2*λ
The system of equations is:
y = 2*λ
x = 2*λ
And 2*x + 2*y -p = 0
p = 2*x +2*y
So x = y p is equal either 4*x or 4*y
Solving for λ
Now you try on your own.
Kelly wants to build a new wardrobe for herself with only clothing pieces she loves, fit her well, and coordinate together. She already has most of the pieces she will use, but needs to save up to go shopping for the remaining items. She has already saved some money from her job, and she decides to set aside money weekly from her tips. The expression $25w+$65
represents the amount of money Kelly will have saved after some amount of weeks. What does each part of this expression represent?
$25=
Answer
w=
Answer
$65=
Answer
For this specific expression, would it make sense to plug in a negative number for w
? Answer
For this specific expression, would you ever expect to get a number less than 65
for your total amount saved?
The Interpretatiom of the equation is that;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
How to solve algebra word problems?The algebra word problem can be solved by using variables to denote certain parameters I'm the question.
The general form of equation of a line in slope intercept form is;
y = mx + c
Where;
m is slope
c is y-intercept
We are given the equation:
$25w + $65
This equation represents the amount of money Kelly will have saved after some amount of weeks.
Thus;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
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There are 3 girls for every 2 boy at a party. There are 20 boys at the party.how many girl are there
Answer:
there will be 30 girls at the party
Answer:
There are 30 girls at the party.
Step-by-step explanation:
20 / 2 = 10
10*3 = 30
You divide the 20 boys at the party from the "every 2 boys", and you should get 10.
You then multiply the 10 by 3, for the 3 girls at the party and you should get 30 as an answer, so therefore you should get 30 as your answer.
Identify the area of a regular hexagon with side length 14in. rounded to the nearest tenth.
The area of a regular hexagon with side length 14 inches is 509.22 square inches.
Given that, a regular hexagon with side length 14 inches.
We know that, area of a regular hexagon can be calculated using A=3√3/2 a².
Here, area of a regular hexagon = 3√3/2 ×14²
= 3√3 ×98
= 509.22 square inches
Therefore, the area of a regular hexagon with side length 14 inches is 509.22 square inches.
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what value of X makes the model true?
The value of x is -1 which makes the model true
The equation from the given model will be 5x+6=1
We have to find the value of x
5x+6=1
Subtract 6 from both sides
5x=-5
Divide both sides by 5
x=-1
Hence, the value of x is -1 which makes the model true
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Find the value of angle GFD.
Group of answer choices
24
58
34
122
Answer:
∠GFD = 58°Step-by-step explanation:
∠F = 180 - 24 - 34
∠F = 122
∠GFD = 180 - 122
∠GFD = 58°
Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis?
A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).
What is a reflection over the y-axis?In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).
This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:
(x, y) → (-x, y).
\(f(x) = \frac{3}{8} (4)^x\) → \(g(x) = \frac{3}{8} (4)^{-x}\)
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Which number comes next in the pattern? 89, 77, 65, 53,
CLEAR
SUBMIT
SUBMIT
12
41
42
52
O
Answer:
41 comes next then 29 then 17
Fill in the blanks below with the correct units.
(a) A two story house is about 10? Millimeters, centimeters, meters, or kilometers
tall.
(b) In her shower, Karen used about 110?
of water. Milliliters or liters
(c) Michael saw an elephant at the zoo. The elephant's mass was about 4000? Grams or kilograms
Answer:
10 millimeters
Step-by-step explanation:
Answer:
A = meters
B = liters
C = kilograms
Step-by-step explanation:
A = meters
Kilometers are the distance of one thing from another
Centimeters would be too small to measure a two story house
Millimeters is the same explanation as centimeters
A man walks 16 miles east and then walks 12 miles due north. How far is the tired man from his starting point?
Please help me I’ve been stuck for 30mins
The cost, c(x), for parking in a hospital lot is given by c(x) = 5x +3.00, where x
is the number of hours. What does the slope mean in this situation?
O A. It costs a total of $5.00 to park in the lot.
B. The rate of change of the cost of parking in the lot is $5.00 per
hour.
C. Parking in the lot costs $3.00 per car.
D. The rate of change of the cost of parking in the lot is $3.00 per
hour.
Answer:
B
Step-by-step explanation:
Compute AB, if possible:
The multiplication of the given two matrices A and B gives,
AB = \(\left[\begin{array}{ccc}-9&0\\9&9\end{array}\right]\)
Given two matrices,
A = \(\left[\begin{array}{ccc}1&3&-1\\3&0&3\end{array}\right]\) and B = \(\left[\begin{array}{ccc}3&0\\-4&1\\0&3\end{array}\right]\)
We have to find the product of these matrices.
We have to multiply each row of A with each column of B.3
(AB)₁₁ = (1 × 3) + (3 × -4) + (-1 × 0) = -9
(AB)₁₂ = (1 × 0) + (3 × 1) + (-1 × 3) = 0
(AB)₂₁ = (3 × 3) + (0 × -4) + (3 × 0) = 9
(AB)₂₂ = (3 × 0) + (0 × 1) + (3 × 3) = 9
Hence the product is,
AB = \(\left[\begin{array}{ccc}-9&0\\9&9\end{array}\right]\)
Hence the product is AB = \(\left[\begin{array}{ccc}-9&0\\9&9\end{array}\right]\).
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A certain truck traveled 7,605 miles in 15 days. What is the average number of miles traveled per day?
If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that, a certain truck traveled 7,605 miles in 15 days.
The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,
Suppose the average number of miles traveled per day is x,
x=76015 / 15
x=507 miles per day.
Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
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Look at images below. : ]
Answer:
1) A
B) 5.818 stops
Step-by-step explanation:
Number One is less than or equal to 21 because the person only has 21 dollars, so she can't spend more than 21.
B can be solved through the equation by first subtracting $5, and then dividing 2.75 by 16.
Triangle A has a height of 2.5 cm and a base of 1.6 cm. The height and base of triangle B are proportional to the height and base of triangle A. Which of the following could be the height and base of triangle B? (A) Height: 2.75 cm Base: 1.76 cm (B) Height: 9.25 cm Base: 9.16 cm (C) Height: 3.2 cm Base: 5 cm (D) Height: 1.25 cm Base: 0.8 cmE) Height: 2 cmBase: 1.28 cm
We have that triangle A has
h = 2.5 cm
b = 1.6 cm
The ratio between its height and base is:
hA / bA = 2.5 cm / 1.6 cm
To be proportional to triangle A, triangle B must have the same ration between height and base:
hB / bB = hA / bA = 2.5 cm /1.6 cm
If we see the options, when hB = 1.25 and bB = 0.8, this is the same ratio as
hA / bA, since hB = (hA / 2), and bB = ( bB = bA / 2) or
hB = (2.5/2) = 1.25
bB = (1.6/2) = 0.8
Therefore, we have:
hA / bA = hB / bB = 2.5 cm /1.6 cm = 1.25 cm / 0.8 cm = 1.5625
Thus, the height and the base of triangle B is h = 1.25 cm and base = 0.8 cm.
(The correct option is D).
The other two options are:
h = 2.75 cm / 1.76 cm = 1.5625 (option A)
h = 2 cm / 1.28 cm = 1.5625
All of these triangles have the same ratio between height and base.
Find the value of Y.
The value of the side y is 3√3. Option C
How to determine the value of the sideIt is crucial to note the different types of trigonometric identities.
They are;
sinetangentcotangentsecantcosecantcosineFrom the diagram shown, we have that;
The angle θ = 60 degrees
The opposite side = y
The adjacent side = 3
Let's use the tangent identity
tan 60 = y/3
Find the value
√3 = y/3
cross multiply
y = 3√3
Hence, the value is 3√3
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The Language Arts department conducts a study to see if the number of books a student reads per month affects the score on the SAT Verbal Test. Here is the data that the Language Arts department collected for 8 students. Create the scatter plot for this data set. What is the equation of the line of best fit?
A scatter plot visually represents the relationship between two variables. It shows a positive correlation between the number of books read per month and SAT Verbal Test scores, with the equation y = 6.4828x + 520.6962.
A scatter plot is a graphical representation of a set of data that allows the observer to observe the relationship between two variables. It is used to graphically display how one variable is affected by the other. It is a chart of data points plotted on a two-dimensional graph with one variable represented on the X-axis and the other variable on the Y-axis.
Scatter Plot of the Data: From the data provided by the Language Arts department, we can create the scatter plot as shown below:
Equation of the line of best fit: The line of best fit is a straight line that is used to model the relationship between the two variables. It is determined by minimizing the sum of the squares of the differences between the observed values and the predicted values.
From the scatter plot, we can see that there is a positive correlation between the number of books read per month and the score on the SAT Verbal Test. This suggests that the more books a student reads per month, the higher their score on the SAT Verbal Test.
The equation of the line of best fit for the given data set is y = 6.4828x + 520.6962. Here, y represents the score on the SAT Verbal Test and x represents the number of books read per month.
To find the equation of the line of best fit, we can use a regression analysis tool such as Excel. The regression analysis will give us the values of the slope and intercept of the line of best fit, which we can use to write the equation of the line.
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What best describes a function with exponential decay?
The phrase "exponential decay" refers to the method of a constant percent rate reduction in an amount through period.
In the given question we have to describes a function with exponential decay.
The phrase "exponential decay" refers to the method of a constant percent rate reduction in an amount through period. It can be written as y=a(1-b)^{x}, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.
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On Triangle ABC, Angle A measures 30 degrees, Angle B measures 90 degrees, and Angle C measures 60 degrees. List the sides of Triangle ABC in order from shortest to longest.
Answer:
A=30 B=90 C=60
Step-by-step explanation:
A=30 C=60 B=90
gordan types 1800words in 25minutes words per minute
Answer:
ok? if the question is how many words does he type in a minute the answer is 72
Step-by-step explanation:
Answer:
72 is right i check
Step-by-step explanation:
he/she comment the same so it was there idea
whats the common difference of p+q, p , p-q
Answer:
- q
Step-by-step explanation:
p - ( p + q )
= p - p - q
= - q
p - q - p
= p - p - q
= - q
Common difference is - q.
Pls help on this question
Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.
3/10=n/50? I really need help
A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used. At this rate, how many cups of sugar should be used if 8 cups of bananas are used?
Answer:
12
Step-by-step explanation:
3=1 1/2
3/8 = 1.5/x
So you cross multiply
3x + (8 x 1.5)
So 12 would be your answer.
What is the y-intercept of the graph of 12x-4y=24
Answer:
l;km';lliJZIOSoao0swodkcxllcsdpl
sa l splpdsl
Step-by-step explanation:
sd ,.mdnaklkMOSDIA IJDOISJM
Mr. Charles gave both of his sons, Joe and Bill, $5,000. Joe deposited the money in an account that offered simple interest of 11% per year. Bill deposited the money in a bank that offered an interest of 9% compounded annually. Who would be richer at the end of 6 years and by what amount? Joe: $ , Bill: $ , . earns more.
Answer:
Bill by $85
Step-by-step explanation:
Bill : Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the money given is then subtracted from the resulting value.
Compounded annually for 6 years at 9 % interest Bill would have $8385.50.
Joe : Simple interest at 11% a year The formula we'll use for this is the simple interest formula.
P is the principal amount, $5000.00.
r is the interest rate, 11% per year, or in decimal form, 11/100=0.11.
t is the time involved, 6year(s) time periods.
So, t is 6year time periods.
To find the simple interest, we multiply 5000 × 11 × 6 = 3300
Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),
or 5000.00 + 3300.00 = 8300.00
As you can see Bill has more by $85.
^Check yourself
Fluency in the conversion of the metric system to the Imperial System is an essential skill in the nursing profession. Think of a situation in which negative effects have occurred due to incorrect dosage calculations? This situation could be a personal experience, the experience of someone you know, or a hypothetical. Explain how this error could have been avoided. How will you ensure that you avoid dosage errors due to metric conversions in your future career as a nurse?
In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.
~~~Harsha~~~
The balanced scale represents the equation: 4x + 2 = x + 5
If one x block is subtracted from the right side and two numbered blocks are subtracted from the left side. What process will balance the scale?
Answer: D) subtract one x block from the left side and subtract two numbered blocks from the right side
Step-by-step explanation:
Give an example using the subject of time to describe how to number patterns are related. go math 5th grade 563 9.5
Answer:
they are related by numbers