Find the equivalent expression of 16^-2
Answers
Find the equivalent expression of
\(16^{-2}\)First, we take advantage of the fact that 16 is a perfect square:
\((4^2)^{-2}\)But 4 is also a perfect square:
\(((2^2)^2)^{-2}\)Now apply the power rule of exponents. We multiply all of them:
\(2^{-8}\)Now we apply the rule of negative exponents:
\(2^{-8}=\frac{1}{2^8}\)This is an equivalent expression, but if it's required to compute the result of the power, the final expression is:
\(\frac{1}{2^8}=\frac{1}{256}\)Related Questions
The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $4. There is 1 winning ticket out of the 280 tickets sold. The winner gets a prize worth $62. Round your answers to the nearest cent.
What is the expected value (to you) of one raffle ticket? $
Calculate the expected value (to you) if you purchase 12 raffle tickets. $
What is the expected value (to the PTO) of one raffle ticket? $
If the PTO sells all 280 raffle tickets, how much money can they expect to raise for the classroom supplies? $
Answers
The expected values of the raffle ticket for you are given as follows:
One ticket: -$3.76.12 tickets: -$45.12.For the PTO, the expected values are given as follows:
One ticket: $3.76.12 tickets: $45.12.What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
For you, the distribution is given as follows:
P(X = 62) = 1/280.P(X = -4) = 279/280.Hence the expected value for one ticket is given as follows:
E(X) = 62/280 - 4 x 279/280
E(X) = -$3.76.
For twelve tickets, the expected value is given as follows:
12 x -3.76 = -$45.12.
For the PTO, we use the inverse signals, as the distribution is the inverse, that is:
P(X = -62) = 1/280.P(X = 4) = 279/280.More can be learned about the expected value of a discrete distribution at https://brainly.com/question/27899440
#SPJ1
14:56 in simplest form?
Answers
Answer:
4
Step-by-step explanation:
Hope this helps:)
Answer:
No
Step-by-step explanation:
Simplest form is
1:4
14/14 = 1
56/14 = 4
If vector r = ❬4, 9❭ and s = ❬7, –5❭ then which is r – s?
r – s = ❬–3, 14❭
r – s = ❬3, –14❭
r – s = ❬–11, 4❭
r – s = ❬11, 4❭
Answers
Answer:
(a) <-3, 14>
Step-by-step explanation:
Addition and subtraction of vectors and matrices is done on a term-by-term basis.
__
The difference is ...
r - s
= <4, 9> -<7, -5>
= <4 -7, 9 -(-5)>
= <-3, 14> . . . . . . . matches the first choice
Find the lateral area and the surface area of the right cone. Round your nearest answers to the nearest hundredth
Answers
Step-by-step explanation:
Given that,
The height of the cone, h = 24 cm
The radius of the cone, r = 10 cm
The slant height of the cone is :
\(l=\sqrt{h^2+r^2} \\\\l=\sqrt{24^2+10^2} \\\\l=26\ cm\)
The lateral area of the cone is given by :
\(A=\pi rl\\\\=3.14\times 10\times 26\\\\=816.4\ cm^2\approx 816\ cm^2\)
The surface area of the cone is given by :
\(A=2\pi rh\\\\=2\times 3.14\times 10\times 24\\\\=1507.2 \approx 1507\ cm^2\)
Which type of cloud is mostly made up of ice crystals? A. Altostratus B. Cirrus C. Cumulus D. Stratus
I know not math But please help
Answers
Answer:
The answer is B
Step-by-step explanation:
look it up on google.
Answer:
The answer is B
Mostly its of B but some clouds are also made up of cmulus(option C)
HELP ASAP MY MOMS LIKE VERY MAD AT ME CUZBTHIS IS LATE( don’t steal from other people cuz it’s wrong) (17 points and brainliest)
The stem-and-leaf plot displays the amount of time, in minutes, that a student spent practicing their musical instrument over 10 days.
1 5
2 0, 2, 5
3 2, 4
4 5
5 3, 6
6 0
Key: 2|0 means 20
Part A: Calculate the mean and median for the data given. (2 points)
Part B: A student would like to show their teacher that they have practiced long enough for the day. Which measure of center should the student give to their teacher? Explain your answer. (2 points)
Answers
The mean is 27.3. and the median is 24.5.
What is a mean median and mοde?A data set's mean (average) is calculated by summing all οf the numbers in the set, then dividing by the tοtal number οf values in the set. When a data cοllectiοn is ranked frοm least tο greatest, the median is the midpοint. The number that appears mοst frequently in a data set is called the mοde.
Part A:
Tο calculate the mean, we need tο add up all the values and divide by the tοtal number οf values:
15 + 20 + 22 + 24 + 25 + 26 + 30 + 35 + 36 + 60 = 273
273 / 10 = 27.3
Therefοre, the mean is 27.3.
Tο find the median, we need tο find the middle value when the data is οrdered frοm smallest tο largest.
Median = (24 + 25) / 2 = 24.5
Therefοre, the median is 24.5.
Part B:
The measure οf centre that the student shοuld give tο their teacher depends οn the teacher's preference. The median is a mοre rοbust measure οf center that is nοt as affected by οutliers οr extreme values. The median alsο gives a better sense οf the typical value in the data.
To know more about mean median and mode visit,
https://brainly.com/question/14532771
#SPJ1
The perimeter of a rectangle is 80 cm. Find the lengths of the sides of the rectangle giving the maximum area.Enter the answers for the lengths of the sides in increasing order.
Answers
Answer:
The lengths of the sides are 20 cm and 20 cm
Step-by-step explanation:
Given
Perimeter, P = 80cm
Represent the length and width with L and W, respectively;
\(P= 2*(L + B)\)
Substitute 80 for P
\(80 = 2 * (L + B)\)
Divide through by 2
\(40 = L + B\)
\(L + B = 40\)
Make L the subject of formula
\(L = 40 - B\)
Area of a rectangle is calculated as thus;
\(Area = L * B\)
Substitute 40 - B for L
\(Area = (40 - B) * B\)
Express this as a function
\(A(B) = (40 - B)* B\)
\((40 - B)* B = A(B)\)
Set A(B) = 0 to determine the roots
Hence;
\((40 - B)* B = 0\)
\(40 - B = 0\) or \(B = 0\)
\(40 = B\) or \(B = 0\)
\(B = 40\) or \(B = 0\)
The maximum area of a rectangle occurs at half the sum of the roots;
So;
\(B= \frac{B_1 + B_2}{2}\)
\(B= \frac{40+0}{2}\)
\(B= \frac{40}{2}\)
\(B = 20\)
Recall that \(L = 40 - B\)
\(L = 40 - 20\)
\(L = 20\)
Hence the lengths of the sides are 20 cm and 20 cm
please help! i can’t seem to find a answer to the this question.
Answers
Answer:
B (6,0) because when graphed it would make a 90° angle
Answer: (B)
Step-by-step explanation:
For the triangle formed to be a right triangle in this case, the next point has to have the same x value as one of the two points in order for it to form a right triangle.
Hope that helps!
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
Answers
B) The angle between vectors v and w can be found using the formula: cos(theta) = (v • w) / (||v|| ||w||), where ||v|| and ||w|| are the magnitudes of vectors v and w respectively.
First, we need to find ||v|| and ||w||:
||v|| = sqrt((-3)^2 + (-4)^2) = 5
||w|| = sqrt((6)^2 + (8)^2) = 10
Now, we can substitute in the values to get:
cos(theta) = (-50) / (5 * 10) = -1
theta = arccos(-1) = pi radians or 180 degrees.
Therefore, the angle between vectors v and w is 180 degrees.
C) Two vectors are parallel if their directions are the same, which can be determined by comparing their unit vectors.
The unit vector of v is:
v_hat = v / ||v|| = (-3/5)i + (-4/5)j
The unit vector of w is:
w_hat = w / ||w|| = (6/10)i + (8/10)j = (3/5)i + (4/5)j
We can see that the unit vectors are in opposite directions, which means that the vectors are anti-parallel or opposite. Therefore, the vectors v and w are neither parallel nor orthogonal.
PLEASEEEEE HELP MEEEEEE
Answers
Answer:
A) Vector component for the cruise ship: (0, -22)
B) Vector component for the Gulf Stream: (4, 0)
C) Resultant vector: (4, -22)
D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)
E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)
Step-by-step explanation:
To solve this problem, we'll consider the velocities of the cruise ship and the Gulf Stream as vectors and calculate their components and resultant vector. Then we'll find the magnitude (resultant velocity) and direction (resultant direction) of the resultant vector.
Given:
Cruise ship velocity (south): 22 mph
Gulf Stream velocity (east): 4 mph
A) Vector component for the cruise ship:
The cruise ship is traveling south, so its velocity vector is (0, -22).
B) Vector component for the Gulf Stream:
The Gulf Stream is flowing east, so its velocity vector is (4, 0).
C) Resultant vector:
To find the resultant vector, we'll add the two velocity vectors together:
Resultant vector = Cruise ship velocity + Gulf Stream velocity
Resultant vector = (0, -22) + (4, 0)
Resultant vector = (0 + 4, -22 + 0)
Resultant vector = (4, -22)
D) Resultant velocity:
The magnitude of the resultant vector gives us the resultant velocity. We can use the Pythagorean theorem to calculate it:
Resultant velocity = sqrt((x-component)^2 + (y-component)^2)
Resultant velocity = sqrt((4)^2 + (-22)^2)
Resultant velocity = sqrt(16 + 484)
Resultant velocity = sqrt(500)
Resultant velocity ≈ 22.4 mph (rounded to the nearest tenth)
E) Resultant direction:
The direction of the resultant vector can be found using trigonometry. We'll use the inverse tangent function (arctan) to find the angle between the resultant vector and the positive x-axis.
Resultant direction = arctan(y-component / x-component)
Resultant direction = arctan(-22 / 4)
Resultant direction ≈ -1.405 radians or -80.5 degrees (rounded to the nearest tenth)
Therefore, the answers are:
A) Vector component for the cruise ship: (0, -22)
B) Vector component for the Gulf Stream: (4, 0)
C) Resultant vector: (4, -22)
D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)
E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)
11z > -33 help please
Answers
11z / 11 > 33 / 11
z > 3
Hope it helps!
What are the right triangles in this picture given the side length:
Answers
Hello!
To check if the triangles are right triangles, we must use the Pythagoras Theorem.
\(a^2=b^2+c^2\)We will consider the biggest side as A, and the other smallest sides as B and C, look:
Triangle A: is a right triangle.\(\begin{gathered} a^2=b^2+c^2 \\ (\sqrt{5})^2=(\sqrt{2})^2+(\sqrt{3})^2 \\ \sqrt{5}\cdot\sqrt{5}=\sqrt{2}\cdot\sqrt{2}+\sqrt{3}\cdot\sqrt{3} \\ \sqrt{25}=\sqrt{4}+\sqrt{9} \\ 5=2+3 \\ 5=5 \end{gathered}\)Triangle B: isn't a right triangle.\(\begin{gathered} \begin{equation*} a^2=b^2+c^2 \end{equation*} \\ (\sqrt{5})^2=(\sqrt{3})^2+(\sqrt{4})^2 \\ 5=3+4 \\ 57 \end{gathered}\)Triangle C: isn't a right triangle.\(\begin{gathered} \begin{equation*} a^2=b^2+c^2 \end{equation*} \\ 6^2=4^2+5^2 \\ 36=16+25 \\ 3641 \end{gathered}\)Triangle D: isn't a right triangle.\(\begin{gathered} \begin{equation*} a^2=b^2+c^2 \end{equation*} \\ 7^2=5^2+5^2 \\ 49=25+25 \\ 4950 \end{gathered}\)Triangle E: is a right triangle.\(\begin{gathered} \begin{equation*} a^2=b^2+c^2 \end{equation*} \\ 10^2=8^2+6^2 \\ 100=64+36 \\ 100=100 \end{gathered}\)Answer:A and E are right triangles.
Which pair of times has the longest elapsed time between the two times?
11:10 p.m. to 2:15 a.m.
9:15 a.m. to 12:35 p.m.
6:45 p.m. to 10:00 p.m.
3:30 a.m. to 6:15 a.m.
Answers
Answer:
9:15 a.m. to 12:35 p.m.
Step-by-step explanation:
A: 3 hours and 5 minutes elapsed. (Add 5 minutes to 11:10 to get 11:15, and then you add 3 hours to get 2:15 a.m. Thus, a total of 3 hours and 5 minutes elapsed.)
B: 3 hours and 20 minutes elapsed. (Add 20 minutes to 9:15 to get 9:35, and then you add 3 hours to get to 12:35 p.m. Thus, a total of 3 hours and 20 minutes elapsed.)
C: 3 hours and 15 minutes elapsed. (Add 15 minutes to 6:45 to get 7:00, and then you add 3 hours to get to 10:00 p.m. Thus, a total of 3 hours and 15 minutes elapsed.)
D: 2 hours and 45 minutes elapsed. (Add 45 minutes to 3:30 to get to 4:15, and then you add 2 hours to get to 6:15 a.m. Thus, a total of 2 hours and 45 minutes elapsed.)
A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
Answers
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
Learn more about interval here:
https://brainly.com/question/30460486
#SPJ1
Which of the systems of linear equations will have infinitely many solutions?
Question 16 options:
4x – 3y = -1
x – y = -2
x + y = 90
y = 9x – 10
-3x – y = 1
2x + y = -7
11x +12y = 13
22x + 24y = 26
Answers
Answer:
11x +12y = 13
22x + 24y = 26
Step-by-step explanation:
Infinite many solutions means that if you did something to the equations, they would end up being the same line. A line on top of a line intersect infinitely many times that's why infinite solutions.
11x +12y = 13
22x + 24y = 26
Look at the last pair of equations. If i divided the second equation by 2(all of the terms):
\(\frac{22x + 24y = 26}{2}\)
=11x +12y = 13
You get the same equation as the first. So this is the system that has infinite solutions.
Find the probability that a randomly
selected point within the square falls in the
red-shaded circle.
6
18
18
P =
Answers
The probability of landing on the red shaded circle is 6/18
Concept of probabilityProbability simply measures the chances at which an event could occur in a sample or population.
Mathematically, Probability is calculated thus:
P(X) = required outcome/ Total possible outcomesHere ,
Required = red circle = 6Entire circle = 18P(red circle ) = 6/18
Therefore, the probability is 6/18
Learn more on probability:https://brainly.com/question/24756209
#SPJ1
How many people were surveyed for the bar graph below?
A. 17
B. 34
C. 21
D. 6
Answers
The number of people surveyed in the bar graph is 34
What is bar graph?The visual display of data (often grouped) in the shape of vertical or horizontal rectangular bars, with the length of the bars corresponding to the measure of the data, is called a bar graph.
How to find the number of people surveyedThe number of people surveyed is calculated by adding up the frequencies of each bar
The frequency shows the number of people using cell phones starting from zero cell phone user which is 1 to 6 cell phone users which is 5
The calculation
1 + 5 + 6 + 8 + 9 + 5 = 34
Hence the number people surveyed is gotten to be 34
Learn more about bar graph here:
https://brainly.com/question/24741444
#SPJ1
NO LINKS!! NOT A MULTIPLE CHOICE!!! Part 3
Answers
Answer:
Given:
9 red marbles8 blue marbles12 green marbles⇒ total marbles = 9 + 8 + 12 = 29
\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)
Part (a)\(\sf P(green)=\dfrac{12}{29}\)
Part (b)\(\sf P(red)=\dfrac{9}{29}\)
\(\sf P(green)=\dfrac{12}{29}\)
\(\implies \sf P(red)\:or\:P(green)=\dfrac{9}{29}+\dfrac{12}{29}=\dfrac{21}{29}\)
Part (c)\(\begin{aligned}\sf P(not\:red)&= \sf1-P(red)\\ & = \sf 1-\dfrac{9}{29}\\ & = \sf\dfrac{20}{29}\end{aligned}\)
triangle 35 degrees x 25 degrees y=?
Answers
Step 1: Find all of the angles inside the triangle
The sum of the interior angles of a triangle is 180 degrees. Therefore, 35 + 25 + x will equal 180.
35 + 25 + x = 180
60 + x = 180
x = 120
Step 2: Find y
X and Y make a straight line. A straight line is 180 degrees, so X and Y are supplementary angles. Therefore, X + Y will equal 180.
120 + y = 180
y = 60
Hope this helps!! :)
At Kamari's Sweet Treats, cookies are packaged in boxes of 8. Depending on the cookie flavor, the most a box can cost is $16.
Let x represent how much each cookie costs. Which inequality describes the problem.
a x / 8 < 16
b 8 + x ≥ 16
c 8 x ≤ 16
d x − 8 ≤ 16
Answers
The inequality that describes the problem is C. 8x ≤ 16
Which inequality describes the problem?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Since Kamari's Sweet Treats, cookies are packaged in boxes of 8 and the most a box can cost is $16. This will be:
8x ≤ 16
The correct option is C.
Learn more about inequalities on:
brainly.com/question/25275758
#SPJ1
Chaz kept a record of how many gallons of gas he purchased each day last week. Drag and drop the days into the correct boxes to order the days from the least amount of gas Chaz purchased to the greatest amount of gas Chaz purchased.
Day Gas (in gallons)
Monday 4.5
Tuesday 3.6
Wednesday 4.258
Thursday 3.77
Friday 4.252
HELP MEEE!!!
I'm in 5th grade btw
Answers
In the figure below, A ABC has an area of
20 square units. What is the height, h,
of the triangle?
A
A
h
2½ units
B 4 units
C
C 4 units
D 5 units
E 10 units
8
B
Answers
The height of triangle A ABC is 4 units.
What is the triangle's height, h?
This can be determined by using the formula for the area of a triangle, which is A = ½bh, where b is the base and h is the height.Since the area of the triangle is given as 20 square units, we can solve for h.By substituting A = 20 and b = 8 into the formula for the area of a triangle, we get 20 = ½(8)h, which simplifies to h = 4.Therefore, the height of the triangle is 4 units.The figure in the question is a right triangle, meaning it has one angle that is 90 degrees. The area of the triangle can be found using the formula A = 1/2bh, where b is the base and h is the height of the triangle.In this case, the area is 20 square units, and the base is 4 units, so the height of the triangle is 2.5 units. This is the answer to the question.The height of triangle A ABC is 4 units.To learn more about the area of a triangle refer to:
https://brainly.com/question/17335144
#SPJ1
If sandwiches were on sale and it cost 28 dollars for 4 sandwiches, how much would it cost for 7 sandwiches?
Answers
Answer:
$49
Step-by-step explanation:
First, we need to figure out how much one sandwich costs.
28 / 4 = 7
One sandwich costs $7
Now we just need to add up 7 sandwiches at $7 each.
7 x 7 = 49
7 sandwiches cost $49
Answer:
Your answer would be 49.
Step-by-step explanation:
Take 28/4. Since $28 is for 4 sandwiches, you want to find the price of 1 sandwich. 28 divided by 4 is 7.Now you want to find the price for 7 sandwiches. Take 7 x 7. This will get 49.Hope this helped!
please help with this asap!! :)
Answers
Answer:
x = 11
Step-by-step explanation:
Given :
AB = x + 5
BC = 2(x - 3)
AB = BC
AB = BC
x + 5 = 2(x - 3)
x + 5 = 2x - 6
5 + 6 = 2x - x
11 = x
x = 11
happy to help :)
What is the square root of 76.8
Answers
The square root of 76.8 is 8.76.
Square root of 76.8 is 8.746.
Given,
\(\sqrt{76.8}\)
Now,
Simplifying the square root :
If square root of x is to be calculated then,
\(\sqrt{x}\) = \(x^{1/2}\)
Similarly,
\(\sqrt{76.8}\) = \(76.8^{1/2}\)
= 8.746
Thus the square root of 76.8 is 8.746.
Know more about square root,
https://brainly.com/question/2987605
#SPJ6
a charity raised about 8200. if the amount of money was rounded to the nearest hundred dollars, what ciuld have been the exact amount?
Answers
Answer:
Anything from 8150 to 8249
Which of the following rational functions is graphed below?
Answers
Answer:
The vertical asymptote is at x = -3, and the horizontal asymptote is at y = 1, so the correct answer is C.
Dayle and his two brothers each eat 5/12 of a chocolate bar. How much
chocolate bar did they eat altogether? Solve and explain your work *
Answers
Answer:
Shown from explanation below.
Step-by-step explanation:
If they both eat 5/12 each, it means they would both eat;
5/12 + 5/12 = (5 + 5)/12 = 10/12 = 5/6 of a bar.
Answer:
5/12 per brother x 3/1 brothers = 15/12 chocolate bars ate so the brothers ate 15/12 chocolate bar because each brother ate 5/12 and there are 3 brothers so we multiply
15/12 = 1 1/4 = 5/4
Step-by-step explanation:
-4z^2-3z+5=0
How many solutions does your quadratic have based on the discriminant?
Pick TWO ways to find the specific solutions or show that there is no solution:
Quadratic Formula
Graphing
Factoring
Square Root Property
Completing the Square
Answers
The solution to the parts of the question with regards to the quadratic equation are;
The discriminant indicates that the quadratic equation has two real solutionsThe solutions of the quadratic equation -4·z² - 3·z + 5 = 0, obtained using the quadratic formula, and the completing the square method are; z = 0.804 and z = -1.55What is a quadratic equation?A quadratic equation is an equation of the form f(x) = a·x² + b·x + c
The discriminant, D, of a quadratic equation, f(x) = a·x² + b·x + c, can be obtained using the expression;
D = b² - 4 × a × c
The specified quadratic function is; -4·z² - 3·z + 5 = 0
The discriminant, D of the above quadratic expression is therefore;
D = (-3)² - 4 × (-4) × 5 = 89
The discriminant is larger than zero, therefore, the quadratic expression has two solutions.
The two method to be used to find the specific solution are;
Quadratic FormulaCompleting the squareQuadratic Formula;
The solutions of the quadratic equation based on the quadratic formula are;
z = (-(-3) ± √((-4)² - 4 × (-4) × 5))/(2 × (-4))
z = (3 ± √(89))/(-8)
z ≈ -1.55 and z ≈ 0.804Completing the Square
The completing the square method can be used as follows;
-4·z² - 3·z + 5 = 0
z² + (3/4)·z - 5/4 = 0
z² + (3/4)·z = 5/4
z² + (3/4)·z + ((3/4)/2)² = 5/4 + ((3/4)/2)²
z² + (3/4)·z + (3/8)² = 5/4 + (3/8)²
(z + (3/8))² = 5/4 + (3/8)²
z + (3/8) = ±√((5/4) + (3/8)²)
z = ±√(5/4 + (3/8)²) - (3/8)
z = √(5/4 + (3/8)²) - (3/8) ≈ 0.804 and z = -√(5/4 + (3/8)²) - (3/8) ≈ -1.55Learn more on the quadratic formula here: https://brainly.com/question/24419456
#SPJ1
NEED ASaap 8th grade marth
Answers
Answer:
the answer is
y=3/2+4
Step-by-step explanation:
4 is found on the y-axis and 3/2 is 1,5 and it looks like its going 1,5 steps up