Answer:
A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?
To answer the question, you need to write a conversion factor to convert
inches to feet
The correct conversion factor has the inches in the
denominator
The correct conversion factor has the feet in the
numerator
.
The tortoise can walk
0.25
feet per second.
by-step explanation:
hope this helps :)
Answer:
The tortoise can walk 0.25 feet per second.
Step-by-step explanation:
Convert inches to feet
Question 3 options:
A)
29.32 and 3.97
B)
32.27 and 4.57
C)
27.48 and 5.20
D)
No Solution
The closest choice is ...
C) 27.48 and 5.20
Using the equation ...
y = ax² + bx + c
You can substitute the first three points to get linear equations in a, b, and c.
10 = a(-3)² +b(-3) +c = 9a -3b +c
4 = a(0)² + b(0) +c = c
-1 = a(3)² + b(3) +c = 9a +3b +c
The second equation tells us c=4. Subtracting the first equation from the last, we get ...
(9a +3b +c) -(9a -3b +c) = (-1) -(10)
6b = -11
b = -11/6
Then we can find "a" from the first equation:
10 = 9a -3(-11/6) +4
1/2 = 9a . . . . subtract 19/2
1/18 = a . . . . . divide by 9
The model is ...
y = (1/18)x² -(11/6)x +4 . . . . . . . . [call this "model A"]
y = (x² -33x +72)/18
Solving this for y = -4, we have ...
-4 = (x² -33x +72)/18
x² -33x +144 = 0 . . . . . . multiply by 18, add 72
(x -16.5)² -128.25 = 0 . . . . put in vertex form
x = 16.5 ±√128.25 ≈ {5.17525, 27.8248}
___
The closest values to these among the choices offered are those of choice C. It appears that the coefficients of model A were rounded to 3 decimal places (or so) before the predicted x-values were computed.
Answer:
A is correct
Step-by-step explanation:
b y=153/1000x
c y=1000/153x
d y=2295/15x
Answer:The answer is B
Step-by-step explanation:
because i did the same test and got 100 A+
The function that describes the relationship between net earnings and self-employment tax is y = 2295/15x.
The function that describes the relationship between the amount of net earnings (x) and the self-employment tax (y) is y = 2295/15x.
#SPJ3
40.4)
404)
4
(4,4)
3
3
3 2
2
2
2
(2.1)
6,2)
1
5 -4 -3 -2 -14
1
3
4
-5 4 -3 -2 -14
234
-5 6 -3 -2 -14
2
3
4
5
X
-2
-2
نا دیا
-3
-3
4
W4
-5
5
Tu
5
4
(
24)
Graph of the function is attached below.
Correct option is D.
As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:
Definition of exponential function
In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant called the base of the function, which must be greater than 0.
Given, exponential function
f(x) = (1/4)4ˣ
exponential function is defined for x∈R
Putting x = 0
f(0) = (1/4)4⁰
f(0) = 1/4
Point on curve is (0,1/4)
Putting x = 1
f(1) = (1/4)4¹
f(1) = (1/4)4
f(1) = 1
Point on curve is (1,1)
Putting x = 2
f(2) = (1/4)4²
f(2) = (1/4)16
f(2) = 4
Point on curve is (2,4)
Putting x = 3
f(3) = (1/4)4³
f(3) = (1/4)64
f(3) = 16
Point on curve is (3,16)
Point (0, 1/4), (1, 1), (2, 4), (3, 16) can be used to draw graph of the function.
Hence, graph of the function is drawn as follows.
Learn more about exponential function here:
#SPJ7
Answer:
The Third one
Step-by-step explanation:
Your Welcome :)
a. yes.
b. no.
2. Number of workshops attended.
3. Whether the student passes the course.
a. yes.
b. no.
4. Final exam score Correlation.
Answer:
2. Number of workshops attended.
Step-by-step explanation:
The variable of interest for predicting the final exam score and doing regression analysis is workshop attendance. Therefore, the response variable should be the number of workshops attended by each student.
This also agrees with what the college tutoring center staff are considering, which forms the research question: "should the center increase the number of math workshops they offer to help students improve their performance in math classes?"