John recorded the weight of his dog Spot at different ages as shown in the scatter plot below.
Part A:
Write an equation that would describe the line of best fit.
Part B:
Using the line of best fit, make a prediction of Spot's weight after 18 months.
Answers
Answer:
A) y = 1.875x + 1.25
B) 35 pounds
Step-by-step explanation:
A) We need two points to define a line. To find an equation that would describe the line of best fit, we can use one of the first points and one of the last points. Let's use (2, 5) and (10, 20).
General equation of a line:
y = mx + b
Slope of the line:
m = (20 - 5)/(10 - 2) = 1.875
y-intercept is found replacing a known point and the slope into the general equation:
5 = 1.875*2 + b
b = 5 - 1.875*2 = 1.25
The final equation is:
y = 1.875x + 1.25
where y represents weight (in pounds) and x represents age (in months)
B) At x = 18:
y = 1.875*18 + 1.25 = 35
Related Questions
Order the numbers from least to greatest
-2 2.5 -3 -3.5 -2,1/2
Answers
Answer:
-3.5<-3<-2.1<-2<2<2.5
Please help! Its one of my last! Please include steps as well since i have to show work. I will give brainliest.
Answers
Answer:
600 sq mm
Step-by-step explanation:
I divided the shape into 2 shapes and found each shapes area and after that added both of its area to find the area of the above shape
area of rectangle= b x h
so, 15x30=450mm (square)
area of triangle= b x h (divided) 2
so, 10x30=300 (divided) by 2
= 150mm (square)
so, 450 (plus) 150= 600mm (square)
True or false.
The scale factor of a dilation is the ratio of a length of a side of the image to the corresponding side length of the pre-image.
Answers
Answer:
true
Step-by-step explanation:
Answer:
true i think
what is the value of x?
Answers
Answer:
you need a d/protector to do this
Step-by-step explanation:
The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? (please help I might fail Math.)
Answers
Answer:
226 grams
Step-by-step explanation:
The half-life of a radioactive substance is the time taken for half the quantity of the substance to decay such that the amount life after the given period of time is half the original quantity.
As such, given that the half-life of a certain radioactive element is 35 hours and there are 904 grams available, it means that after 35 hours,
Amount decayed = 1/2 * 904 grams
= 452 grams
Amount left = 904 grams - 452 grams
= 452 grams
After another 35 hours (now a total of 70 hours),
Amount decayed = 1/2 * 452 grams
= 226 grams
Amount left = 452 grams - 226 grams
= 226 grams
Simplify the following expression.
(13x+ 9) + (38x+33y)
A. 51x + 4y
B. 22x + 46y
C. 22x + 42y
D. 51x+ 42y
Answers
Answer:
The answer would be D.
Step-by-step explanation:
All you have to do is combine like terms.
Pretend that the parenthesis aren't there. 13x + 9y + 38x + 33y.
When you combine like terms, you add or subtract the terms that have the same variable attached.
13x + 38x = 51x.
9y + 33y = 42y
51x + 42y.
I hope I helped.
Brainliest would be appreciated.
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going on the
field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the
population. Which was most likely true of the representative sample?
VA
The representative sample contained all 160 students,
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls,
Save and Exit
Next
Submit
Mark this and retum
Answers
Answer:
The representative sample contained more girls than boys.
Step-by-step explanation:
A "sample" of something is a small part of it. A "representative sample" is a small part of the students that represents them all. A random sample would not include all 160 students. It is more likely that there would be more girls than boys, than more boys than girls. In total, there are more girls than boys: 95 girls to 65 boys. It is more likely that a sample of the total students would be just like the total, but smaller.
PLEASE HELP! Drag each tile to the correct box.
The height of an object launched upward from ground level is given by the function s(t) = -4.9t2 + 78.4t, where s(t) is the height in meters and t is the time in seconds. Arrange the time intervals in ascending order of the object's magnitude of average velocity over the interval.
Answers
Answer:
the distance of the object before it hits the ground after launch is t = 1.592 seconds
Step-by-step explanation:
The height of an object launched upward from ground level is given by the function s(t) = -4.9t² +7.8t
when the object reach the ground then s(t) = 0
So; -4.9t² +7.8t = 0
-4.9t² +7.8t + 0 = 0
By using the quadratic equation
[tex]\mathbf{\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}}[/tex]
where; a = -4.9 ; b = 7.8 and c = 0
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(7.8)^2-4(-4.9)(0)} }{2(-4.9)}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(60.84} }{-9.8}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) + \sqrt{(60.84} }{-9.8} \ \ \ \ OR \ \ \ \ \mathbf{\dfrac{-(7.8) - \sqrt{(60.84} }{-9.8}}}[/tex]
[tex]\mathbf{=0 \ \ \ OR \ \ \ 1.592 }}[/tex]
Hence; the distance of the object before it hits the ground after launch is t = 1.592 seconds
Evalaute the expression 3x + (z+2y)-12, if x=3, y=8 and z=5
please help rn
Answers
Answer:
18
Step-by-step explanation:
3x + (z + 2y) - 12, if x = 3, y = 8 and z= 5.
3*3 + (5+2*8) - 12
9 + (5 + 16) - 12
9 + 21 - 12
30 - 10 - 2
20 - 2
18
Answer:
18
Step-by-step explanation:
First what you would do is plug in the numbers.
3x3+(5+2x8)-12
Then you would multiply 2 times 8 and get 16. Then add 16 and 5 and get 21.
3x3+(21)-12
Then you add 3 times 3 and get 9.
9+21-12
Then you solve left to right. Then you add 9 and 21 and get 30. Last you subtract by 30 by 12 and get 18.
please respond with the format showed on the picture so use . after the letter and display the answer (summarized: answer with one of the answers on the picture
Answers
Answer:
B. 19
Step-by-step explanation:
35-16=19
Math question down below
Answers
Answer:
D. 604
Step-by-step explanation:
411/3 = 137
137 + 388 = 525
----------------------------------
(n) 604 - 79 = 525
will give brainlist if its right!
Answers
Answer:
7/30
Step-by-step explanation:
or 7 out of thirty.
plz correct me if im wrong, ill fix it
Answer:
7/30
Step-by-step explanation:
First you need to add up all the frequency so you know the total number that they has spun which is 30. So you put the total frequency that number 4 has on. Which is 7/30
Solve for m. –5 − 5m = –6m
m= _
Answers
Answer:
M = 5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−5−5m=−6m
−5+−5m=−6m
−5m−5=−6m
Step 2: Add 6m to both sides.
−5m−5+6m=−6m+6m
m−5=0
Step 3: Add 5 to both sides.
m−5+5=0+5
m=5
Finding a Linear Regression Model
Warm-Up
Find a linear function that models the data in the table
2
y
f(x) =
-4
-6
-1
-1
0
1
2
4
3
7
Answers
Answer:
f(x) = 1.8x + 1
Step-by-step explanation:
I graphed the table on the graph below and found the equation of the line.
If this answer is correct, please make me Brainliest!
Factor the polynomial.
125x^3+27
Answers
Answer: (5x+3) (25x^2-15x+9)
(5x + 3) (25x^2-15x + 9)
Tiffany answered 90% of the questions on her math test correctly.
There were 50 questions on the test. How many questions did Tiffany answer correctly:
I NEED TO SHOW MY WORKKK, thank you :))
Answers
50=100%
X=90%
X=50*90%/100
X=45
Answer:
45
Step-by-step explanation
90/100 × 50/1 50 goes into 100 2
90/2 × 1/1 = 45
Hope this helps
A powerful computer is purchased for $2000, but loses 20% of its value each year.
Answers
Answer:
It loses $400 a year
Step-by-step explanation
$2000 x 20% or .20 = $400 per year is what the computer loses.
It loses a great deal of value a year.
Answer: 100n
Step-by-step explanation:
Each year it looses 100$ of its value each year.
What happens if you decide to cash in your Certificate of Deposit (CD) before its maturity date?
Answers
Answer:
If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.
Step-by-step explanation:
I have a book on this kinda stuff! :D
Answer:
If you decide you need your funds before the maturity date, you'll pay an early withdrawal penalty.
Step-by-step explanation: ED2022
What is the factored form of the polynomial?
f2 + 9x +20
(x - 4)(x - 5)
(x - 2)(x - 10)
(x + 4)(x + 5)
(x + 2)(x + 10)
Answers
Answer:
(x + 4)(x + 5)
Step-by-step explanation:
If you FOIL these factors, you get the give quadratic polynomial. x×x = x^2 4×5 = 20. 4x + 5x = 9x
what kind of polynomial is 2x^4-4x^2
Answers
Answer:
Binomial
Step-by-step explanation:
It has 2 terms in the expression
Answer: quadratic polynomial
Step-by-step explanation:
A quadratic polynomial is a polynomial of degree 2. A univariate quadratic polynomial has the form f(x)=a_2x^2+a_1x+a0. An equation involving a quadratic polynomial is called a quadratic equation. A closed-form solution known as the quadratic formula exists for the solutions of an arbitrary quadratic equation.
Simplify. x + y - 0 x 2 - y 2
Answers
Answer:
-y^(2)+x+y
Step-by-step explanation:
Find the area. Will mark brainliest.
Answers
Answer:
Step-by-step explanation:
base b = 11 cm
Height h = 6 cm
[tex]Area=\frac{1}{2}bh\\\\=\frac{1}{2}*11*6\\[/tex]
= 11 * 3
= 33 cm²
Answer:
33 cm squared
Step-by-step explanation:
A = 1/2bh
A = 1/2 (11) (6)
A = 1/2 (66)
A = 66/2
A = 33
What single rigid transformation maps TriangleABC onto TriangleA'BC'?
dilation
reflection
rotation
translation
Answers
Answer:
The answer would be reflection.
Step-by-step explanation:
the answer is reflection because you would reflect it over the axis.
Answer:
Reflection would map ABC to A'B'C'
Step-by-step explanation:
simplify the following equation
x^5 * x^-3 =x^n
A. 4
B. -2
C. 2
D. 8
Answers
Answer:
x=2
Step-by-step explanation:
x^5 * x^-3 =x^n
We know a^b * a^c = a^(b+c)
x^(5 -3) =x^n
x^2 = x^n
2=n
Answer:
C. 2
Step-by-step explanation:
When you are multiplying the same base number with exponents you add the exponents. 5-3=2. So, n=2. Hope this helps :)
What is the range of the absolute value function below?
f(x) > -4
f(x) > -1
f(x) < 1
f(x) < 4
Answers
Answer:
y ≤1
Step-by-step explanation:
The range is the output values
It has a max at 1 and can be any value below 1
y ≤1
Answer:
f(x) < 1
Step-by-step explanation:
Max y value on the graph is y = 1, hence the range is f(x)《 1
From the given options,
f(x) < 1
whats the constant of the function?
Answers
Answer:
-4
Step-by-step explanation:
can someone explain the Pythagorean Theorem to me
Answers
Answer:
The Pythagorean theorem deals with the lengths of the sides of a right triangle. ... The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c').
Step-by-step explanation:
Using the matrix solver on your calculator, find the solution to the system of
equations shown below.
2x - 4y = 4
x - 2y = 8
Answers
Answer:
x = 5
y = - 3/2
Step-by-step explanation:
[tex]\left \{ {{2x-4y =4} \atop {x-2y=8}} \right.[/tex]
The augmented matrix is :
[tex]\left[\begin{array}{ccc}2&-4&4\\1&-2&8\\\end{array}\right][/tex]
Now; to Row operations
Swap row 2 to row 1
[tex]\left[\begin{array}{ccc}1&-2&8\\\\2&-4&4 \end{array}\right][/tex]
Multiply row 1 with 2 and add to row 2 ;
1(2) = 2
-2(2) = -4
8(2) = 16
2 +2 = 4
4 +(-4) = 0
16+ 4 =20
Now; we have:
[tex]\left[\begin{array}{ccc}1&-2&8\\\\4&0&20 \end{array}\right][/tex]
changing row 2 back to equation form:
4x + 0y = 20
4x = 20
x = 20/4
x = 5
substituting x = 5 in row 1
x - 2y = 8
5 - 2y = 8
-2y = 8 -5
-2y = 3
y = - 3/2
Given these what is X if B-X=A
Answers
Answer:
B
Step-by-step explanation:
B-X=A
or
B-A=X
or
X=B-A
[tex]X=\left[\begin{array}{ccc}-5&-1&6\\4&1&2\\0&-3&2\end{array}\right] -\left[\begin{array}{ccc}-1&-2&3\\4&8&-6\\0&1&5\end{array}\right] \\=\left[\begin{array}{ccc}-5+1&-1+2&6-3\\4-4&1-8&2+6\\0-0&-3-1&2-5\end{array}\right] \\=\left[\begin{array}{ccc}-4&1&3\\0&-7&8\\0&-4&-3\end{array}\right][/tex]
Answer:
answer is B
Step-by-step explanation:
What is a less than 16
Answers
Answer:
15 is a less than 16
Step-by-step explanation:
Answer:
What are the choices??
Step-by-step explanation:
