Answer:
b
Step-by-step explanation:
The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, a motorboat moves across a lake at a constant speed.
Let x be the number of minutes and y be the total distance.
When it begins, it is 48 km from the shore.
Now, (x₁, y₁) =(0, 48)
After 10 minutes, it is 18 km from the shore.
So, (x₂, y₂) =(10, 18)
We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)
= (18-48)/(10-0)
= -30/10
= -3
Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get
48=-3(0)+c
c=48
Substitute, c=48 and m=-3 in y=mx+c, we get
y=-3x+48
Therefore, option B is the correct answer.
To learn more about the function visit:
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A statistics teacher was interested in the relationship between the number of days students waited to start a project and the score that project received (out of 100 points). Information was collected on several students and was used to obtain the regression equation ŷ = –3.64x + 96.5, where x represents the number of procrastination days and ŷ is the predicted grade. Which statement best describes the meaning of the slope of the regression line?
A:For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
B;For each increase in number of procrastination days by 1, the predicted grade decreases by 96.5 points.
C;For each increase in grade by 1 point, the predicted number of procrastination days decreases by 96.5 days.
D:For each increase in grade by 1 point, the predicted number of procrastination days decreases by 3.64 days.
Answer:
A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.
Step-by-step explanation:
The slope of a Regression Line
A straight line can be represented in the slope-intercept form:
y = mx + b
Where m is the slope and b is the y-intercept.
The slope describes how fast and in what direction the graph goes when x changes values.
If m is positive, increments in x imply increments in y.
If m is negative, increments in x imply decrements in y.
The regression line is:
ŷ = –3.64x + 96.5
Where:
x = the number of procrastination days
ŷ = the predicted grade
We can say the slope is m=-3.64. This means that:
A: For each increase in the number of procrastination days by 1, the predicted grade decreases by 3.64 points.
Pretty sure the guy above me is right, although I have not checked on edge.
(A) For each increase in number of procrastination days by 1, the predicted grade decreases by 3.64 points.
kinda sucks how theres nothing for stats on here but i hope to help a little =================================
if you're looking for "What is the predicted grade of a student who procrastinated for 2 days?" as-well, the answer for that seperate question is (C) 89.22 .
=================================
ED2021
Divide. 5,346 ÷ 29 Enter your answer in the boxes as a mixed number in simplest form.
Answer:
[tex]190\frac{26}{29}[/tex]
Step-by-step explanation:
____190__
29 | 5346
-29 (29*100=2900)
________
2446
-232 (29*90=232)
________
26
Therefore, the answer is [tex]190\frac{26}{29}[/tex]
In the mixed form we can write → 5346 ÷ 29 as [tex]$184\frac{10}{29} .\\[/tex]
We have the following operation -
5346 ÷ 29
We have to write the result of above division in mixed form.
What is Division Algorithm ?The division algorithm says when a number 'a' is divided by a number 'b' gives the quotient 'q' and the remainder 'r' then the following relation exists-
a = bq + r
where 0 ≤ r < b.
This is also known as Euclid's division lemma.
According to the question, we have -
5346 ÷ 29
Let A = 5346 ÷ 29. Therefore -
A = [tex]$\frac{5346}{29} = 184\frac{10}{29} .\\[/tex]
Hence, in the mixed form we can write → 5346 ÷ 29 as [tex]$184\frac{10}{29} .\\[/tex]
To solve more questions on Mixed numbers, visit the link below-
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please help me solve
Answer:
CD
Step-by-step explanation:
Answer:
3rd one
Step-by-step explanation:
Joe has to take two quizzes tomorrow. He has only enough time to study for one of them. The science quiz has 6 true or false questions. The english quiz has 4 multiple choice questions.
Answer:
C) English
Step-by-step explanation:
I don't really know how to explain it, so I'll show you instead.
For science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.
So,
0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.016
For English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.
So,
0.25 x 0.25 x 0.25 x 0.25 = 0.004
They will have to study English (0.004) because it is lower than science (0.016).
The quiz he should study is; English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).
How to find Probability?We are told that for science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.
Thus;
P(6) = 0.5⁶ = 0.016
We are told that for English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.
Thus; P(4) = 0.25⁴ = 0.004
Thus, we conclude that they will have to study English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).
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Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46
[tex]f(x)=2x^2+6x-4[/tex]
Find the f(-5) by substituting x = -5 in the equation.
[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]
Therefore, the answer is f(-5) = 16.
PLZ HELP ASAP!!!!!
Which statement is true regarding the graphed function
A. f(0)=g(0)
B. f(-2)=g(-2)
C. f(0)=g(-2)
D. f(-2)=g(0)
How many solutions does the system have?
Pig Race
Time (seconds)
O zero
O one
O two
O infinite
Answer:
Step-by-step explanation:
I think it's 2
Which point represents 27 on the graph?
O Point A
O Point C
O Point D
O Point E
How many solutions does the equation 24x-22=-4(1-6x) have?
Answer:
43
Step-by-step explanation:
just trust me
Solve the problem.
A used car is for sale for $8,950. If Jenny will pay for the car over a 5-year period, what will be her monthly payment, to the nearest dollar?
$149/month
$3,729/month
$1,790/month
$60/month
Answer:
60 months = $8950
l month = ?
8950÷ 60
= $ 149 per month
I need help pleaseeeeeee
Answer:
1:2
Step-by-step explanation:
Find the measures of the indicated angles.
Step-by-step explanation:
first, find the value of angle t
angles of a triangle add up to 180.
with this, we can set up the equation
180 = t + 62 + 56
t = 62
to find angle w, find the sum of the top angles
25 + 56 = 81
again, sum of angles in a triangle adds to 180.
since we have the bottom right angle and the top angle, we can find the bottom left angle
180 = 56 + 62 + w
w = 37
finally we can find angle v
180 = 25 + w + v
180 = 25 + 37 + v
v = 118
another approach would be to find angle v after finding angle t.
because the two angles are supplementary, they add up to 180
angle v + angle w = 180
"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]
[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]
PLZZZZZ HELP MEEEEEEEE
Answer:
i am confused
Step-by-step explanation:
the bits on it is not that good to look at
What are the solutions of this quadratic?
Y=X^2 -2X
Answer:
this is my answer but it's on you if you think this answer is correct or wrong
Can someone tell me where to graph this using plots?
What is 20x - y = -40 in
slope-intercept form?
Answer:
y=20x+40
Step-by-step explanation:
slope-intercept form is y=mx+b. In order to place the equation into such format, you first need to move the 20x to the right, meaning you subtract it from both sides. you are left with -y=-20x-40. Since y cannot be negative or have any coefficient other than positive 1, you divide both sides by -1. -20/-1=20,, -40/-1=40,,-1/-1=1. Therefore, you are left with y=20x+40
2x - y = -2,X + y = -1
Answer:
x=-1, y=0
Step-by-step explanation:
Hope this is right!!
Karina needs a total of $45 to buy her mother a birthday present. She has saved 20% of the amount so far. How much has she saved
Answer:
$9.00
Step-by-step explanation:
$45.00x20%=9
Answer:
$9
Step-by-step explanation:
$45 X .2 = $9
How would I solve this step by step?
Answer:
Step-by-step explanation:
you would add 60 + 90 then subtract it from 180
Answer:
Easy so it's a 90 degree angle so 90 goes at the end.
Example: 3x+60=90
60-60=0
and then 90-60=30
now u have 3x=30
after this u divide by 3
30/3=10
x=10
answer is 10
and also can u plz answer my recent question
I need ya help please
Which equation can be used to solve forz in the following diagram?
(6z- 15)°
Choose 1 answer.
z= (6z-15)
O z-(6z-15) = 90
O z+(6z- 15) = 90
4 of 7
Answer:
C.
THis is a right angle making it 90°
Therefore, 6x-15) + x = 90
Step-by-step explanation:
The coordinate pairs could represent the the vertices of a triangles congruent to KLM?
PLEASE HELP THIS IS TIMED
Answer:
D
Step-by-step explanation:
Answer:
Your answer is D :)
Step-by-step explanation:
I hope this helped
Choices would be
x = -0.4
x = 10
x = 2
X = -10
Answer:
The first one is
The second one is -
The third one is -.
The last one is
Step-by-step explanation:
ALSO I would really appreciate if you could check out our math channel. It is called Evimero Academy
Thank you so much and have a good day
The enrollment at a university increased from 16,000 students to 20,000 students over a period of 5
years. What is the percent increase in enrollment?
difference
net/
Answer:
25%
Step-by-step explanation:
Initial no of students = 16,000
Final no of students = 20,000
We need to find the percent increase in enrollment.
The increase in no of students = 20,000 - 16,000
= 4000
Percentage = (increase/initial no of students) × 100
[tex]\%=\dfrac{4000}{16000}\times 100\\\\=25\%[/tex]
Hence, the percent increase is 25%.
What is the vertex of the equation f(x)=-4(x+2)^2+1
Answer: (-2,1)
Step-by-step explanation:
Step-by-step explanation:
and then we will have access you to get the information you want to cry because you have to be around and he said why he was about the feudal of his heart is the only way he could get his life back to
Is the equation 2x + 5 = 1 true, false, or open? Explain.
Answer:
open
Step-by-step explanation:
beacause
2x+5=1
2x=1-5
2x=-4
x=-4/2
x-2 so its open
An open statement is a statement that has an unknown variable
[tex]2x + 5 = 1[/tex] is an open statement
The equation is given as:
[tex]2x + 5 = 1[/tex]
From the equation, we have the following observations.
2, 5 and 1 are constants
x is a variable
Because the equation has a variable (i.e. x), then it is an open statement
Hence, [tex]2x + 5 = 1[/tex] is an open statement
Read more about open statements at:
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The figure shows a line graph and two shaded triangles to find the slope: (picture below)
Which statement about the slope of the line is true? SHOW YOUR WORK. (5 points)
a
The slope of the line is 3.
b
The slope of the line is fraction 1 over 3 .
c
The slope of the line is 1.
d
The slope of the line is 2.
Answer:
the answer is d because it is
Answer:
D is the slope
Step-by-step explanation:
The difference of ten times a number and three is -13
Answer:
10n - 3 = -13
Step-by-step explanation:
Simplify the expression:
(-4 + v)(3) - =
Answer:
-12 + 3v Is the answer
Hope this helps :)
