Answers
The equation of the line is y = (2/3)x -1
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
From the given graph, we have two points (0, 1) and (3,3)
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
y - 1= (3 -1 ) / (3 -0) x (x -0)
y = (2/3)x -1
The equation of the line is;
y = (2/3)x -1 {equation 1}
Slope intercept form of a line is
y = mx + b {equation 2} ,
where m is the slope and b is the y-intercept.
On comparing the equation (1) and (2) we get
It means,
Slope = 2/3
y-intercept = -1
Therefore, the equation of the line is y = (2/3)x -1
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Related Questions
Somebody help this assignment is due tonight for a grade
Answers
2.) 12 oz box for $2.15
3.) 16 pound turkey for $20.00
4.) $1.60 per notebook
A wildlife preserve features a crocodile with a documented age of 24 years, believed to be one of the oldest crocodiles in captivity. The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years. What proportion of crocodiles have lifespans of at least 24 years? Find the z-table here. O 0.0104 O 0.3336 O 0.4896 O 0.6664
Answers
Answer:
0.0104
Step-by-step explanation:
Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.
So, mean, [tex]\mu=18[/tex]
and standard deviation, [tex]\sigma=2.6[/tex]
The z-score, for any arbitrary life span of x year, is given by
[tex]z=\frac{x-\mu}{\sigma}[/tex]
By using the given values, we have
[tex]z=\frac{x-18}{2.6} \cdots(i)[/tex]
The z-score for x=24, by using equation (i), is
[tex]z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31[/tex]
From the table, the area to the left side of z=2.31 =0.98956
But, the proportion of crocodiles have lifespans of at least 24 years
= Area to the right side of the z=2.31
=1- (Area to the left side of the z=2.31)
=1-0.98956
=0.01044
So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.
Hence, option (a) is correct.
Answer:
A
Step-by-step explanation:
Lucas read a 480 page book from cover to cover in a single session, at a constant rate. After reading for 2.5 hours she had 400 pages left to read. How fast was sara reading
Answer: ____ pages per hour
Answers
Answer:
32 pages per hour
Step-by-step explanation:
plz help HW
plz help HW
plz help HW
Answers
Answer:
55°, 70°, 55°Step-by-step explanation:
Δ MHP is right triangle, therefore
m∠P = 90° - 35° = 55°ΔMNP is isosceles triangle as MN = MP, therefore
m∠N = m∠P = 55°m∠NMP = 180° - 2*55° = 70°55°, 70°, 55° tbh i just got it from googgg le
2 to the power of 46 is how many times as many as 2 to the power of 42
Answers
Answer:
2⁴⁶ is 2⁻⁴ times as many as 2⁴²
Step-by-step explanation:
Given;
2 to the power of 46 = 2⁴⁶
2 to the power of 42 = 2⁴²
Let the number of times = y
2⁴⁶y = 2⁴²
divide both side of the equation by 2⁴⁶
[tex]\frac{2^{46}y}{2^{46}} = \frac{2^{42}}{2^{46}} \\\\y = 2^{42-46}\\\\y = 2^{-4}[/tex]
Therefore, 2 to the power of 46 is 2 to the power -4 times as many as 2 to the power of 42. (i.e 2⁴⁶ is 2⁻⁴ times as many as 2⁴²)
Answer:
16
Step-by-step explanation:
Dan buys a package of 12 cans of lemonade for $3.72. What is the unit price per can?
A
$0.37
B
$0.32
C
$0.31
D
$0.12
Answers
Answer:
$0.31
Step-by-step explanation:
Unit price is measured by dividing the price by the amount of an item, so 3.72/12 = 0.31
Answer: The answer is C
Step-by-step explanation:
Y+3=X+4 Whats is the slope of the equation
Answers
Answer:
slope = 1
Step-by-step explanation:
Write the equation in slope-intercept form: y = mx +b
y + 3 = x + 4
y = x + 4 - 3
y = x + 1
Slope = 1
determine the range of the following graph
Answers
Answer:It has to be more clear
Step-by-step explanation:
I'M IN A HURRRRYYYYYY
PLEASEE HELP
18 POINTS
Which expression is equivalent to square root 80
^4 square root 2 times square root 5
square root 2^4 times square root 5
square root 2 times square root 2 times square root 5
square root 2^2 times square root 2^2 times square root 5^2
Answers
Answer:
4 square root 5 (A)
Step-by-step explanation:
Given: square root of -80
We have to find an equivalent expression.
(hope this helps) :))
Answer:
I think the second one. I could be wrong
Step-by-step explanation:
Find the length of arc ab. Need help!!!
Answers
Answer:
12.4cm (rounded to nearest tenth)
Step-by-step explanation:
To find the length of an arc, you have to find the circumference of the full circle itself multiplied by the angle of the arc over 360°. The circumference of a circle is pi × r × 2.
Length of arc = [tex]\frac{90}{360}[/tex] × 3.14 × 7.9 × 2
= 12.403
≈ 12.4cm (rounded to nearest tenth)
if y=6 and x=-2, find x when y=-3
Answers
Answer:
1
Step-by-step explanation:
if you divide 6 by -2 you will end up with -3, so then you will divide -2 by -2 and you will get 1.
Helppppppppppppppppppp
Answers
Merry Christmas
Combine the like terms to create an equivalent expression.
12r + 5 + 3 + 4r
Answers
Answer:
16r+8
Step-by-step explanation:
12r+4r+8=
16r+8
13
According to the social hierarchy below, which of the
following held a higher place in society?
A
slaves
B
scribes
C С
Craftworkers
D
peasants/farmers
Answers
Forensic scientists can determine the approximate height that a person was by measuring the length of the femur (thigh bone). They use a formula to calculate the person’s height, based on the person’s race and gender. The formula for a Caucasian female is given by: height = 2.47f + 54.13, where f is the length of the femur in centimeters.
To the nearest centimeter, how many centimeters long is the femur of a female who is 168 centimeters tall?
46 centimeters
90 centimeters
14 centimeters
469 centimeters
Answers
Answer:
46 centimeters.
Step-by-step explanation:
First you need to plug in the numbers you have.
Your equation now is:
168 = 2.47f + 54.13.
You could use the process of elimination, or you could solve it algebraically.
168 = 2.47f + 54.13.
What you want to do is subtract 54.13 from both sides.
113.87 = 2.47f.
Now divide 2.47 from both sides.
46
The length of the femur of a female with a height of 168 cm is; Option A: 45 centimeters.
We are given the formula for Caucasian female's height as;
H = 2.47f + 54.13
Where;
f is the femur length in cm.
H is height in cm
Thus, if a females height is 168 cm, then;
168 = 2.47f + 54.13
Using subtraction property of equality by subtracting 54.13 from both sides gives;
168 - 54.13 = 2.47f
113.87 = 2.47f
Using division property of equality, divide both sides by 2.47 to get;
113.87/2.47 = f
f ≈ 46 cm
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Enter the equation in standard form.
y − 6 = −(x + 4)
Answers
====================================================
Work Shown:
y - 6 = -(x + 4)
y - 6 = -x - 4
y = -x - 4 + 6 ..... adding 6 to both sides
y = -x + 2
y + x = 2 .... adding x to both sides
x + y = 2
The equation is in standard form Ax+By = C, with A = 1, B = 1, and C = 2.
y + 1 = -2x-3 in standard form *
Answers
Answer:
y = -2x - 4
Step-by-step explanation:
y + 1 = -2x - 3
Subtract 1 from both sides to get the y by itself
y = -2x - 3 - 1
Simplify (Combine Like terms)
y = -2x - 4
Triangle with angles 1, 2, 3 has a baseline k, and triangle with angles 4, 5, 6 has a baseline l. Lines k and l are parallel. Given that k ∥ l, identify the congruent angles in the triangles. ∠1≅ ∠2≅ ∠3≅
Answers
Answer:
angel 5,4,and 6 in that order
Step-by-step explanation:
Answer:
look at the pictureeeeeee
Step-by-step explanation:
Given the speeds of each runner below, determine who runs the fastest. \text{Tony runs 12 feet per second.} Tony runs 12 feet per second. \text{Katie runs 450 feet in 30 seconds.} Katie runs 450 feet in 30 seconds. \text{Frank runs 1 mile in 577 seconds.} Frank runs 1 mile in 577 seconds. \text{Adam runs 880 feet in 1 minute.} Adam runs 880 feet in 1 minute.
Answers
Answer:
Katie runs fastest
Step-by-step explanation:
For us to know the person who runs fastest, we need to calculate their speed in feet per seconds (ft/s)
For Tony; his speed is 12ft/s
For Katie;
Katie runs 450 feet in 30seconds;
450 feet = 30 secs
x = 1 sec
Cross multiply
30x = 450
x = 450/30
x = 15ft
Hence Katie runs 15ft/s
For Frank;
Frank ran 1 mile per 577secs
1 mile = 5280feeet
This mean that he ran 5280feet in 577 secs
5280feet = 577secs
y = 1 secs
cross multiply;
577y = 5280
y = 5280/577
y = 9.15ft/s
Hence Frank ran 9.15ft/s
For Adam;'
If Adam ran 880 ft in 1 minutes, this means he ran 880ft in 60secs
880 ft = 60secs
z = 1sec
Cross multiply
60z = 880
z = 880/60
z = 14.67ft/s
Hence Adam ran 14.67ft/s
From the value of their speed, we can see that Katie runs fastest with a speed of 15ft/s
A girl's feet are negative 2 over 4 yards from the surface of a pool. A boy's feet are negative 3 over 4 yards from the surface of the pool. Determine whose feet are closer to the surface. pls help asap
Answers
Work out the answers to:
a) 7 - 41
b) (-15) + 33
c) 62 - 84
d) (-26) – 14
Answers
Answer:
a= -34
b=18
c=-22
d=-40
b) 18
c) -22
d) -40
hope this helps :)
any real number is equal to itself a=a
Answers
Answer:
well no, π is a real number and 1/9 is a real number but they are not equal
Yes, If you saying a=a
Step-by-step explanation:
Answer:
Yes, that's true
Step-by-step explanation:
If a real number is the representation of a specific value, then said number should equal itself.
63x19 estimate and choose method
Answers
Answer:
1200 would be an estimate
Step-by-step explanation:
Rounding to the nearest 10's digits would be a method of estimation. For example, in this case, 63 would round down to 60 and 19 would round up to 20 for a quick estimate. 60 times 20 = 1200
Answer:
1197
Step-by-step explanation:
63 x 19 = 1197
Can you mark me brainliest
the sum of two numbers is 10 and their difference is 4
Answers
Answer:
7 and 3
Step-by-step explanation:
7 + 3 = 10
7 - 3 = 4
Which puts the equation 2x + y = 5 into slope-intercept form?
Answers
Answer:
y= -2x+ 5
Step-by-step explanation:
plug in y=mx+b
The equation 2x + y = 5 written in the slope-intercept form is y = -2x + 5, where the slope is -2 and the intercept is 5.
An equation in the slope-intercept form is written as y = mx + c.
The given equation is 2x + y = 5.
To write the given equation in slope-intercept form, subtract both sides of the equation with 2x,
(2x + y) - 2x = 5 - 2x
2x + y - 2x = 5 - 2x
y = 5 - 2x
Rearrange the terms
y = -2x + 5
Here, -2 is the slope and 5 is the intercept.
Thus, the slope-intercept form of the equation 2x + y = 5 is y = -2x + 5.
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Daniela has a container full of marbles. She gives away some of her marbles every day for five days. Each day, she has 1/4 the number of marbles she had a previous day. What fraction of the original number of marbles does Daniela have left after five days?
Answers
Given:
Daniela gives away some of her marbles every day for five days.
Each day, she has [tex]\dfrac{1}{4}[/tex] the number of marbles she had a previous day.
To find:
The fraction of the original number of marbles Daniela have left after five days.
Solution:
Let the origin number of marble be x.
Number of marbles after one day = [tex]\dfrac{1}{4}x[/tex]
Number of marbles after two days = [tex]\dfrac{1}{4}(\dfrac{1}{4}x)[/tex]
= [tex](\dfrac{1}{4})^2x[/tex]
Similarly,
Number of marbles after three days = [tex](\dfrac{1}{4})^3x[/tex]
Number of marbles after four days = [tex](\dfrac{1}{4})^4x[/tex]
Number of marbles after five days = [tex](\dfrac{1}{4})^5x[/tex]
= [tex]\dfrac{1}{1024}x[/tex]
Since, [tex]\dfrac{1}{1024}[/tex] is multiplied with x, therefore, the number of marbles Daniela have left after five days is [tex]\dfrac{1}{1024}[/tex] part of original number of marbles.
According to Hatfield, which kind of love is about caring and intertwining your
life?
A. Attachment
B. Intimate love
C. Passionate love
D. Companionate love
Answers
the correct answer is companionate love.
According to Hatfield, the kind of love that is about caring and intertwining your life is companionate love.
Option D is the correct answer.
What is compassionate love?Companionate love is a type of love characterized by feelings of intimacy and affection but without the intense passion or sexual attraction associated with passionate love.
We have,
Companionate love typically involves a deep level of commitment, trust, and mutual support between partners who have a strong emotional bond.
In companionate love, partners may still experience physical attraction to each other, but the primary focus is on building a strong, long-term partnership based on mutual respect, communication, and shared experiences.
This type of love is often seen in long-term relationships or marriages, where partners have developed a deep understanding and appreciation for each other over time.
Overall, companionate love is about caring for and supporting your partner through the ups and downs of life and building a life together based on shared values, goals, and interests.
Thus,
The kind of love that is about caring and intertwining your life is companionate love.
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At the bottom it says
m/_XZY=
Please help
Answers
Answer:
x=13
Step-by-step explanation:
Once again, all three angles of a triangle add up to 180° so we can form the equation: 47+90(this is the right angle)+4x-9=180°
Algebra:
47+90+4x-9=180
128+4x=180
4x=52
x=13
Hope this helps!! :) And that's all the time I have!! :( You can do it!! Good luck with the rest of your homework! :D
Find 3 ratios that are equivalent to the given ratio.
12 to 30
Answers
Answer:
4:10
24:60
48:120
As long as you multiply or divide both sides of the ratio by the same number, you will have an equivalent ratio.
Please help me with my homework
Answers
Answer:
$13.25
Step-by-step explanation: