Answer:
(½x+½y)²=6
Step-by-step explanation:
x^2 + y^2 = 14, xy=5
(A+B)^2=A^2 +2AB+B^2... (*)
(1/2x+1/2y)^2 =(*)
(1/2x)^2 +2(1/2x)(1/2y)+(1/2y)^2 =
1/4x^2 +1/2xy+1/4y^2=
1/4(x^2 +y^2) +1/2(xy)=
1/4*14+1/2*5=
14/4+5/2=
14/4+10/4=
24/4=6
let me know if I'm wrong.
( 1/2x +1/2y)²
= { ( x + y )/ 2xy }²
= ( x² + 2xy + y² )/4(xy)² —(1)
As we know that x² + y² = 14 — (2)
and xy = 5 —(3)
So, substitute the value of equation 2 and 3 in equation 1,
= ( x² + 2xy + y²)/4(xy)²
=( 14 + 2*5)/(4*5²)
= 24/(4*25)
= 6/25.
A fitness trainer decided to track the combined weight loss of
several new customers. She recorded the combined weight loss
each month and kept track for 6 months. Identify the best
mathematical model with its corresponding R2 value and tell
whether it is a good model.
Month
1
2
3
4
5
6
Weight loss
175
120
95
63
44
30
4.
exponential model, 0.996
Yes, 0.996 is very close to 1.
quadratic model, 0.994
Yes, 0.994 is very close to 1.
quadratic model, 0.994
No, 0.994 is too high an R2 value.
exponential model, 0.996
No, 0.966 is too high an R2 value.
Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.
What is an exponential model?
Quantity rises over time through a process called exponential growth. It happens when the derivative, or instantaneous rate of change, of a quantity with respect to time is proportionate to the original quantity. A quantity that is growing exponentially is referred to as an exponential function of time, meaning that the exponent is the variable that represents time (in contrast to other types of growth, such as quadratic growth).
The amount declines over time and is said to be experiencing exponential decay if the constant of proportionality is negative. It is also known as geometric growth or geometric decay when the discrete domain of definition has equal intervals since the function values form a geometric progression.
Given that a fitness trainer is tracking the combined weight loss of several new customers.
She is recording for 6 months.
Now, we have to find the best mathematical model with the corresponding R² value
Given, the combined weight loss are - 175, 120, 95, 63, 44 and 30.
The formula for coefficient of determination R² = (x-x')(y-y')/√∑(x-x')²(y-y')²
≈ 0.996
Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.
To know more about exponential model:
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HELP QUICKKKK!!!!!
Pick the odd one out. A) 8÷4×2 B) 5×1−1 C) 3×3−5 D) 3×2+1
Answer:
D
Step-by-step explanation:
cause 8÷4 =2 and ×2 =4
5x1=5-1=4
3×3=9-5=4
3×2=6-1=5
The odd one is the different one cause every other one answer is 4 expecet d ....d answer is 5
do all straight lines that are functions have inverses?
Answer: Not all Functions have a inverse
Happy To Help :)
Step-by-step explanation:
Please show the process of your result. Thank you! :D
Answer:
[tex]3\sqrt{7}[/tex] Is correct answer
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
what is the equivalent value of 1/3×(−15)
a contractor is given a scale drawing of a rectangular patio. the scale from the patio to the drawing is 4 feet to 1 inch. what is the area of the actual patio?
Real answers and explanations ONLY! I’ll name you brainiest if correct
Answer:
1/10⁶ or 0.000001Step-by-step explanation:
For every time you have a probability of getting 1 is:
P(1) = 1/10For all 6, the probability of outcome of 1 is:
P(1x6) = (1/10)⁶ = 0.000001Probability of 1
P(1)=1/10Probability of 6
P(1×6)
(1/10⁶)10^{-6}Here's a question ~
Two lines passing through the point (2 , 3) intersect each other at an angle of 60° . If slope of one line is 2, then find the equation of the other line ~
note : there are two possible slopes !
Need Proper Explanation ~
Answer:
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Step-by-step explanation:
It is given that –
Slope of the first line is–
[tex]\sf\longmapsto \: m_{1} = 2[/tex]
Let,
the slope of the Another line be –
[tex]\sf\longmapsto \: m _{2}[/tex]
Now,
The angle between the two lines is 60°.
Let's start solving!
[tex]\sf\longmapsto \: \tan(60°) | \frac{ m_{1} - m_ {2} }{1 + m_{1} m_ {2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = | \frac{2 -m_{2} }{1 + 2m_{2}} | [/tex]
[tex]\sf\longmapsto \: \sqrt{3} = ± \: \: ( \frac{2 -m_{2} }{1 + 2m_{2}} )[/tex]
[tex]\sf\longmapsto \: \sqrt{3} = \frac{2 -m_{2} }{1 + 2m_{2}} [/tex]
[tex]\sf\longmapsto \: \sqrt{3} (1 + 2m_{2}) = 2 - m_{2}[/tex]
[tex]\sf\longmapsto \: \sqrt{3} + 2 \sqrt{3} m_{2} + m_{2} = 2[/tex]
[tex]\sf\longmapsto \: m_{2} = \frac{2 - \sqrt{3} }{(2 \sqrt{3} + 1) } [/tex]
The equation of line passing through point (2,3) and having a slope of –
[tex]\sf\longmapsto \: m_{2} = \frac{(2 - \sqrt{3} )}{2 \sqrt{3} + 1 } [/tex]
is–
[tex]\sf\longmapsto \: (y - 3) = \frac{2 - \sqrt{3} }{2 \sqrt{3} + 1 } (x - 2)[/tex]
[tex]\sf\longmapsto \: ( 2\sqrt{3} + 1)y - 3(2 \sqrt{3} + 1) = (2 - \sqrt{3} )x - 2(2 - \sqrt{3} [/tex]
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
Hence the equation of the other line is -
[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]
This circle has a circumference of 40 centimeters.
Calculate its diameter
Answer:
d≈12.73cm
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for d
d = c/[tex]\pi[/tex] = 40/[tex]\pi[/tex] ≈12.7324cm
During a 1-hour period, a TV show has 40 minutes of programming. The rest of the
time is for commercials. How much time user every hour for commercials?
Answer:20 mins
Step-by-step explanation:
If its one hour than thats 60 mins which means you have to minus 40.thats is 20
Hope it helps
Answer:
20 Minutes
Step-by-step explanation:
An hour is 60 minutes.
60 - 40 is 20 minutes.
Help please! I can't understand this question!
Answer:
Step-by-step explanation:
y = 2x + 8
She know 8 songs. 8 will be the y-intercept and each month she learns 2 songs which will be the slope of the function.
Answer:
y=2x+8
Step-by-step explanation:
It's for how many songs he knows in total
2 songs a month so
songs he knows=2(number of months)+the 8 he already knows
2. An architect is reading a plan that is drawn on a scale of 0.75 inches to 1 foot. If the plan says that a room is 12 feet high, how high is the roof in the drawing?
Answer:
9 Inches
Step-by-step explanation:
1 feet is 0.75 inches
12 feet will be 0.75 * 12 = 9 inches
Therefore,it 9 inches.
Answer:
9 inches
Step-by-step explanation:
12 * 0.75 = 9
Answer: 9
A square has an area of 4 square feet. What is the perimeter of the square, rounded to the nearest foot?
A. 8
B. 12.5
C. 28
D. 200
5.32×10^5 solve it please need it by 12:00
Answer:
532,000
Step-by-step explanation:
10^5= 100,000
100,000 x 5.32
Move the decimal place 5 spaces to the right.
It gives you 532,000
Answer:
532000Step-by-step explanation:
5.32 × 10^5 =
532/100 × 100000 =
133/25 × 100000 =
532000
i need to find the slope and the value of A B
Answer:
the slope is 2 and a=8 b=6
Step-by-step explanation:
The table shows the probability distribution of Pamela seeing red cars and green cars on her way to office.
Pamela can expect to see ___ red cars and___ green cars on her way to office.
The expected value of a dataset is the mean of the dataset.
The complete text is: Pamela can expect to see 1 red car and 1 green car on her way to office.
Expected value is calculated as:
[tex]\mathbf{E(x) =\sum x \times P(x)}[/tex]
For the red cars, we have:
[tex]\mathbf{Red = 0 \times 0.43 + 1 \times 0.31 + 2 \times 0.14 + 3 \times 0.10 + 4 \times 0.02}[/tex]
[tex]\mathbf{Red = 0.97}[/tex]
Approximate
[tex]\mathbf{Red = 1}[/tex]
For the green cars, we have:
[tex]\mathbf{Green= 0 \times 0.45 + 1 \times 0.17 + 2 \times 0.22 + 3 \times 0.07 + 4 \times 0.09}[/tex]
[tex]\mathbf{Green= 1.18}[/tex]
Approximate
[tex]\mathbf{Green= 1}[/tex]
Hence, the expected values of red and green is 1.
Read more about expected values at:
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Point S lies on AB. If AB = 34 units, AS = 5 + 2x units, and SB = x + 2 units, what is the length of AS in units?
Enter the correct answer in the box.
units
Answer:
AS=9
Step-by-step explanation:
Can some pls help me?
Answer:
4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
E to A is 3 and D to A is 2 so you add the two together and get 5 which is B.
Let me know if I'm wrong.
A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with the car?
60% of the people from the survey are completely satisfied
WILL GIVE BRAINLIEST 100 POINTS
BRAINLIEST TO BEST EXPLANATION OF WHAT YOU DO TO FIND SCALE FACTOR AND CENTER :D
ANSWER ALL QUESTIONS FOR BRAINLIEST
Answer:
to find the scale factor for a dilation, we would find the center point of dilation and measure the distance from this center point to a point on the shape from before (preimage) and also the distance from the center point to a point on the shape.
For three consecutive homework assignments, each assignment had one more question than the previous assignment. The total number of questions on the three assignments is greater than 51 a.Write an inequality to represent this situation, where q is the number of questions on the first assignment
The inequality that represents the situation is:
[tex]3q + 3 > 51[/tex]
The first assignment had at least 17 questions.
On the first assignment, there were q questions.Each assignment had one more question than the previous one, so the second had q + 1 questions and the third had q + 2 questions.The total number of questions is:
[tex]T = q + q + 1 + q + 2 = 3q + 3[/tex]
Since the total is greater than 51, the inequality is:
[tex]3q + 3 > 51[/tex]
Solving the inequality, we have that:
[tex]3q > 48[/tex]
[tex]q > \frac{48}{3}[/tex]
[tex]q > 16[/tex]
Thus, it is found that the first assignment had at least 17 questions.
A similar problem is given at https://brainly.com/question/24514895
Write an algebraic expression for three times the sum of the first two multiples of four.
Help please and hurry
Answer:ok here u go
Step-by-step explanation the reason its no solutions is because there is no x and that makes the problem no solution
6.5 x 1/9 please help
Answer:
13/18
Step-by-step explanation:
6.5 · 1/9 = 6 5/10 · 1/96 5/10 · 1/9 = 6 1/2 · 1/96 1/2 · 1/9 = 13/2 · 1/913/2 · 1/9 = 13/18Therefore, 6.5 · 1/9 = 13/18.
PLS HELP ASAP ILL GIVE BRAINLIEST TYSM
Answer:
3x+2=16
Step-by-step explanation:
Answer:
the answer is most likely to be rather the first or second choice, but i choose B
Step-by-step explanation:
*Hope this helps*
based on what i understood, 3 green rectangles (or whaever that shape is), the 2 red squares, and the 16 small yellow squares. and the answer choices have
3x - 2 = 16
3x +2 = 16
3x + 4 = 20
3x = 24
and i dont think its 3x + 4 = 20 or 3x = 24 because there isn't any shapes to represent the 4, 20, and 24.
I might be wrong but i hope its right...
I need the equation and the answer please it’s due tonight
Answer:
The answer is 27.15
this is your equation to your answer step by step
4.40+ 3.25=
7.65
7.65+3.25=10.9
10.9+3.25=14.15
14.5+3.25=17.4
17.4+3.25=20.65
20.65+3.25=23.9
23.9+3.25=
A rectangular farm is 600m long and 200m wide. If 1/3 of it is used for planting rice, what is the area of the remaining land in hectares? a) 4ha b) 8ha c) 12ha d) 80ha e) 120ha please respond its urgent.
Answer:
8ha
Step-by-step explanation:
600*200 = 120000
120000* 1/3 = 40000
120000 - 40000 = 80000
10000m = 1ha
80000m = 8ha
The area of the remaining land is 8 hectares. The correct answer would be an option (B).
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
The total area of the rectangular farm is 600m × 200m = 120,000 square meters.
If 1/3 of it is used for planting rice, then the area used for planting rice is 1/3 × 120,000 = 40,000 square meters.
Therefore, the area of the remaining land is 120,000 - 40,000 = 80,000 square meters.
To convert this to hectares, divide by 10,000, so the area of the remaining land is 80,000 / 10,000 = 8 hectares. So the answer is 8 hectares.
Hence, the correct answer would be an option (B).
Learn more about the Area of the rectangle here:
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What are the coordinates of the terminal point determined by T=20pi/3
Answer:
t=5x=3049
Step-by-step explanation:
Answer:
The answer is cos=(-1/2, square root -3/2)
Step-by-step explanation:
jamie is 3 years less than three times Andys age. In five years the sum of their ages will be 59.How old are they now
Answer:
Andy : 13 years old and
Jamie: 36 years old
Step-by-step explanation:
Andy = x
Jamie = 3x - 3
In 5 years:
(X+5)+(3x-3+5) = 59
4x + 7 = 59
4x = 59 - 7
x = 52/4
x = 13