Step-by-step explanation:
Given equation is 4/(s-3) + (s/2) = -2
=> [(4×2)+s(s-3)]/2(s-3) = -2
=> (8+s²-3s)/(2s-6) = -2
=> 8+s²-3s = -2(2s-6)
=> 8+s²-3s = -4s+12
=> s²-3s+8+4s-12 = 0
=> s²+s-4 = 0
The standard form is s²+s-4 = 0
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:
brainly.com/question/28596571
#SPJ1
Shyla Cuts 6 strips of ribbon to make her hair bows when she is done she realizes that each strip is 1/8 too short how does the total length of strips compared to what their total length should have been?
pls help i need help on homework. and i dont understand:
6 = 7y - 8
please solve using inverse operations
I offer a crown and 20 points
Answer:
6=7y-8
6+8=7y-8+8(addition inverse operation)
14=7y
14/7=7y/7(division inverse operation)
2=y
Step-by-step explanation:
Answer:
y=2
Step-by-step explanation:
6=7y-8
(to get all the numbers on the right side and the letters on left side we can swap 6 with 7y)
-7y= -6-8
(since both were positive before we used the inverse method to turn both into a negative number)
-7y= -14
÷7 ÷7
(to get y on its own we divide both sides by 7)
y=2
Hope this helped you- have a good day bro cya)
Ordered pairs are ordered as (x,y) What is the constant of proportionality
for the ordered pair (-2,18)?
Lisa baked d cookies. Her family ate 20 of them. Using d, write an expression for the number of cookies that remained.
Answer:
d - 20 = r
r = remaining amount
Answer:
l=d-20
Step-by-step explanation:
use l for leftover cookies.
l=d-20
Hope this helps!
Jeff made 2 out of every 5 baskets he shot during basketball practice. If he took 25 shots, how many baskets did he make? You MUST show your proportion and work!
Answer:
30 many shoot basket did he make
PLS HELP DUE IN 1 HOUR
write the expression using positive exponents
1/3^-5
Explanation:
The rule used is [tex]\left(\frac{a}{b}\right)^{-c} = \left(\frac{b}{a}\right)^{c}[/tex]
That rule says to go from a negative exponent to a positive exponent, we apply the reciprocal of the fraction.
So,
[tex]\left(\frac{1}{3}\right)^{-5} = \left(\frac{3}{1}\right)^{5} = 3^5[/tex]
Is side length 17, 144, and 145 right triangle?
Yes it is.
Use the Pythagorean Theorem:
a²+b²= c²
So, 17²+144²=145²
289+20736=21025
289+20736=21025
21025=21025
(8.1 x 10⁻⁴) - (9.5 x 10⁻⁵)
Answer:
[tex]7.15*10^{-4}[/tex]
Step-by-step explanation:
[tex](8.1*10^{-4})-(9.5*10^{-5})=0.00081-0.000095\\\\=0.000715 = 7.15*10^{-4}[/tex]
A, b, c or d?????? Pls help quick
Answer:
The answer is a
Step-by-step explanation:
have a nice day :)
Lamar made $110 for 5 hours of work.
At the same rate, how much would he make for 12 hours of work?
Answer:
264
Step-by-step explanation:
to find one hour
110÷5=22 per hour
12×22=264
Answer: Lamar would make $264 in 12 hours of work.
First we would try to find how much he would make in an hour, so technically the unit rate.
TO find the unit rate we have to do 110/5 which is equal to $22
Then we know that Lamar is working for 12 hours and that he makes $22 per hour. SO, 12 times 22 is 264.
Step-by-step explanation:
I hope this helps, if you are having a tough time with math you can use:
khan academy
math nation
and many more free sites!
a. 2300ml=_____l b. 9400ml=_____l c. 9l=________ml d. .7l=_______ml e. 9.7l=_____ml
f. 670ml=_______l g.217ml=_______l h. 1200ml=______l
Answer:
a) 2300 ml = 2.3 l
b) 9400 ml = 9.4 l
c) 9 l = 9000 ml
d) 7 l = 7000 ml
e) 9.7 l = 9700 ml
f) 670 ml = 0.67 l
g) 217 ml = 0.217 l
h) 1200 ml = 1.2 l
Step-by-step explanation:
For converting milliliter to liter, divide the number (ml) by 1000. For converting liter to milliliter multiply the number (l) by 1000.
Find the measures of the following angles
Answer:
HGD: 117
FDG: 180
Step-by-step explanation:
Answer:
<HDG = 117 degrees
<FDG = 63 degrees
Step-by-step explanation:
Its a straight line
These are supplementary angles
If its a striaght line its 180 degrees.
We already know theres a 63 degrees so we jsut gotta subtract
180-63=117
So 117 degrees for HDG
i forgot to attach the photo before.... please help
Part (i)
I'll use H in place of T to represent the heat of the object. That way there isn't a clash of variables lowercase t vs uppercase T.
The equation we're working with is updated to:
H(t) = 22 + a*2^(bt)
Plugging in t = 0 as the initial time value should lead to the temperature being H = 86 degrees Celsius.
So,
H(t) = 22 + a*2^(bt)
86 = 22 + a*2^(b*0)
86 = 22 + a*2^0
86 = 22 + a*1
86 = 22 + a
a+22 = 86
a = 86-22
a = 64
Answer: 64=====================================================
Part (ii)
We'll use the value of 'a' we found earlier. Plus we'll use the fact that H = 28 when t = 0.5 (since 30 min = 30/60 = 0.5 hr).
H(t) = 22 + a*2^(bt)
28 = 22 + 64*2^(b*0.5)
28-22 = 64*2^(0.5b)
64*2^(0.5b) = 6
2^6*2^(0.5b) = 6
2^(6+0.5b) = 6
log( 2^(6+0.5b) ) = log(6)
(6+0.5b)*log(2) = log(6)
6+0.5b = log(6)/log(2)
6+0.5b = 2.5849625
0.5b = 2.5849625-6
0.5b = -3.4150375
b = -3.4150375/(0.5)
b = -6.830075
Answer: Approximately -6.830075There are five red, 3 blue and a white marble in a jar. What is the probability of selecting
a white marble, replacing it, then selecting a white marble again?
Answer:
1/81 I think now 100% sure though
WILL MARK BRAINLIEST!
Identify if the polynomial is a monomial, binomial, trinomial or multinomial.
Answer:
multinomial
Step-by-step explanation:
polynomial are equal to multinomial
solve an equation to find the value of x
Answer:
(7+x)°=180-130
x=50-7
x=43
I don’t know how do do this please help me cuz this is due before 7
Answer:
That's all
Step-by-step explanation:
you need to replace the values then solve
Answer:
27. 1^-8 = 1/1^8 = 1
28. 2^-5 = 1/2^5 = 1/32
29. -3^-3 = - 1/3^3 = - 1/27
30. 2^-1 = 1/2 = 1/2
31. -3^-4 = - 1/3^4 = - 1/81
32. 5^-3 = 1/5^3 = 1/125
33. 1^-99 = 1/1^99 = 1
34. 1^-3 = 1/1^3 = 1
35. 4^-3 = 1/4^3 = 1/64
36. 2^-3 = 1/2^3 = 1/8
Step-by-step explanation:
Rewrite the expression using the negative exponent rule b^−n=1/b^n
1/2^3
Raise 2 to the power of 3
1/8
The result can be shown in multiple forms, but this is fraction form.
1/8
I hope it helps!!
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...
Complete the equation so that it has
infinitely many solutions.
48 - 2) = (2x -
Enter an equation for the statement.
The price of a radio r is $40 less than the price of CD player p.
The equation is ____=____
do all straight lines that are functions have inverses?
Answer: Not all Functions have a inverse
Happy To Help :)
Step-by-step explanation:
Expand the following
Answer:
a) 4x+4
b) 7x-14
c) 12x +18
d) 10x-10y
Answer:
4x+4
7x-14
12x+18
10x-10y
Step-by-step explanation:
What is the constant of proportionality in the equation y 5/4 x ?
Answer:
Firest y5/ 4x = y5 - 4 /4X -4
x= y
Yo can y'all help me with this I already did it on another paper. It would be very helpful if it was a step by step explanation take 100 points brother
Answer:
there is no question if you provide one in comments I will edit my answer to answer the question
Step-by-step explanation:
Can you help me solve pleas
Need help ASAP 50 points ?!!!
Answer:
pretty sure it's 11
Step-by-step explanation:
Substitute x with -44
Answer:
11
Step-by-step explanation:
f(x) = f(-44) plug in -44 for x
10 - -44/44
10 - (-1)
I do something called KFC, keep flip change
10 + 1 = 11
which ratios are equivalent to 7: 15.
help pls?? answer for me??f
ANSWER
C PO SANA MAKATULONG PO YAN
Which of the following functions represents an absolute value function?
y = |x - 21
O y = x-2
y = x