Answer:
2a^2 + 3a - 1 ,
Step-by-step explanation:
I am assuming you mean
2a^3-a^2-7a+2
By long division:
a - 2 ) 2a^3 - a^2 - 7a + 2 ( 2a^2 + 3a - 1 <------- Quotient
2a^3 - 4a^2
3a^2 - 7a
3a^2 - 6a
-a + 2
-a + 2
. . . . .
The endpoints of the
directed line segment AB
are A (1,7) and B(5, 15).
Find the coordinates of point
P along AB so that the ratio
of AP to PB is 3 to 1.
The coordinates of point P along AB so that the ratio of AP to PB is 3 to 1 is (4,13).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Given that the ratio of the two lines is 3:1, therefore, we can write,
m:n = 3:1
Also, the coordinate of the endpoints of the line are,
A = (x₁, y₁) = (1, 7)
B = (x₂, y₂) = (5, 15)
Now, Using the Section formula the coordinate of the point P can be written as,
[tex]P = (\dfrac{mx_2+nx_1}{m+n}\ , \dfrac{my_2+yx_1}{m+n})\\\\P = (\dfrac{3(5)+1(1)}{4}\ , \dfrac{3(15)+1(7)}{4})\\\\P = (4, 13)[/tex]
Hence, the coordinates of point P along AB so that the ratio of AP to PB is 3 to 1 is (4,13).
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Tan0=
A)1/cos
B) 1+sec^2 0
C) 1- cot^2 0
Select the correct answer.
Which equation is equivalent to the formula below?
y = a (x − h)² + k
PADED
HODIN BARISTLE
DEKKING
y k
-
OA G = (1²=51²
(I h)²
-
OB.
h = x = ( ² = ²)²
a
O C.
* = ± √/² = ²
X
OD. k = y + (x - h)²
- h
-
Answer:
a.
Step-by-step explanation:
a= y-k/ (x-h)^2
Make me a brain listUse the Law of Cosines to find the specified missing value. Approximate your answer to the nearest tenth.
C=60, a=120ft, b=66ft
Answer:
c=104.1 ft
Step-by-step explanation:
Law of Cosines
c^2 = 66^2 + 120^2 - 2 (66)(120)cos 60
c = 104.1 ft
Jesse had $80 in his checking account. A month
later, his checking account balance was -30. Which
expression represents the difference between the
two checking account balances?
Answer:
80 - 30
Step-by-step explanation:
I'm just guessing
millimeters =equals 15centimeters 4millimeters
This shows that 154mm is equivalent to 15centimeters 4millimeters
Conversion of unitsUnits are measure of a quantity. From the given question, we are to convert 15cm4mm to millimeters
Since 10mm =1cm, hence;
15cm4mm = (15 * 10) + 4
15cm4mm = 150+ 4
15cm4mm = 154mm
This shows that 154mm is equivalent to1 5centimeters 4millimeters
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A right triangle has side lengths AC = 7 inches, BC = 24
inches, and AB = 25 inches.
What are the measures of the angles in triangle ABC?
A) mZA= 46.2°, mZB=43.8°, mZC=90°
B) mZA= 73.0°, mZB= 17.0°, mZC = 90°
C) mZA 73.7°, mZB= 16.3°, mZC = 90°
D) mZA 74.4°, mZB= 15.6°, mZC = 90°
Therefore, the measures of the angles in triangle ABC is as follows:
m∠A 73.7°, m∠B = 16.3°, m∠C = 90°How to find angles of right triangle?The measure of the angles in the right triangle can be found as follows:
Using trigonometric ratios,
sin ∅ = opposite / hypotenuse
sin ∅ = 7 / 25
∅ = sin ⁻¹ 0.28
∅ = 16.2602047083
∅ = 16.3°
Hence,
m∠B = 16.3°
m∠C = 90°
m∠A = 180 - 90 - 16.3 = 73.7°
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Given: ABCD is a parallelogram.
Prove:
Answer:
in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D . We know that the sum of the angles of a quadrilateral is 360o. Hence, ABCD is a parallelogram.
please help me asap thank you so so much u are so amazing!!
Answer:
7.76
Step-by-step explanation:
0.22×20=4.4
3.36(base amount ,average of the others)+4.4=7.76
Select
Select the correct answer from each drop-down menu.
Which system of Inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?
The inequality equation of the lines are given as 4x – y ≤ 4 and 2x – 2y ≤ 3. Then the correct option is A.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The graph is given below.
From the graph, equation of the lines are given as
4x - y = 4 and 2x - 2y = 3
But for the inequality is shown in graph. Then the inequality equation of the lines are given as
4x – y ≤ 4 and 2x – 2y ≤ 3
Then the correct option is A.
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(LOOK AT IMAGE)
Line CDE is a tangent to the circle below.
Work out the size of angle x and the size of angle y.
[tex]x=57^{\circ}[/tex] (alternate segment theorem)
[tex]y=67^{\circ}[/tex] (alternate segment theorem)
tan 45°. tan² 30° tan 60°
slove it
Answer:
[tex]\frac{\sqrt{3} }{3} or \frac{1}{\sqrt{3} }[/tex]
Step-by-step explanation:
We can break the problem into three parts,
tan45 = sin(45)/cos(45)=[tex]\frac{\frac{\sqrt{2}}{2} }{\frac{\sqrt{2}}{2} } =1[/tex]
[tex]tan^{2}30 =(tan30))^{2}=(sin30/cos30)^2=((1/2)/(\sqrt{3}/2))^2 =(1/\sqrt{3})^2[/tex]
[tex]tan60=sin60/cos60=\frac{\sqrt{3}/2 }{1/2} =\sqrt{3}[/tex]
Then, [tex]tan45*tan^230*tan60=1*(1/sqrt(3))^2*sqrt(3)=1/sqrt(3)=sqrt(3)/3[/tex]
Therefore, the solution is sqrt(3)/3
HELP FAST! What is the equation of the line graphed?
(y=mx+b)
Area= in2
Help me please!! Thank you so much
Answer:
60 in²
Step-by-step explanation:
Area of a Regular Polygon
[tex]\textsf{A}=\dfrac{n\:s\:a}{2}[/tex]
where:
A = arean = number of sidess = length of one sidea = apothem (the line drawn from the center of any polygon to the midpoint of one of the sides)From inspection of the diagram:
n = 5s = 6 ina = 4 inSubstitute the values into the formula and solve for A:
[tex]\implies \sf A = \dfrac{5 \times 6 \times 4}{2}[/tex]
[tex]\implies \sf A = \dfrac{120}{2}[/tex]
[tex]\implies \sf A = 60\:in^2[/tex]
Therefore, the area of the given regular pentagon IJKLM is 60 in².
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{First thing, let's get the formula for}\\\huge\textbf{the regular pentagon/polygon.}[/tex]
[tex]\mathbf{\dfrac{1}{2}\times \boxed{a}pothem\times\boxed{p}erimeter = {\boxed{a}rea}}[/tex]
[tex]\huge\textbf{Or we could simply say....}[/tex]
[tex]\mathbf{\dfrac{\boxed{n}umber\ of\ sides\ you\ have \times \boxed{s}ide \ length\ on\ one\ side\times \boxed{a}pothem}{2} = \boxed{a}rea}[/tex]
[tex]\huge\textbf{Let's plug the pieces to the equation,}\\\huge\textbf{since we have that information out the}\\\huge\textbf{way.}[/tex]
[tex]\bullet\mathbf{\ Number\ of\ sides \rightarrow \boxed{\bf 5}}[/tex]
[tex]\bullet\mathbf{\ Side\ length\ of\ one\ side \rightarrow \boxed{\bf 6\ inches}}[/tex]
[tex]\bullet\mathbf{\ Apothem \rightarrow \boxed{\bf 4\ inches}}[/tex]
[tex]\huge\textbf{Making the equation for you:}[/tex]
[tex]\mathbf{\dfrac{5\times 6 \times 4}{2} = \boxed{a}rea}[/tex]
[tex]\huge\textbf{Solving for the result:}[/tex]
[tex]\mathbf{\dfrac{5\times 6 \times 4}{2} = \boxed{a}rea}[/tex]
[tex]\mathbf{\dfrac{30\times 4}{2} = \boxed{a}rea}[/tex]
[tex]\mathbf{\dfrac{120}{2} =\boxed{a}rea}[/tex]
[tex]\mathbf{\dfrac{120\div2}{2\div2} = \boxed{a}rea}[/tex]
[tex]\mathbf{\dfrac{60}{1} = \boxed{a}rea}[/tex]
[tex]\mathbf{60\div1 = \boxed{a}rea}[/tex]
[tex]\mathbf{60 = \boxed{a}rea}[/tex]
[tex]\huge\textbf{Met the result....}[/tex]
[tex]\huge\text{Thus, your answer should be: \boxed{\mathsf{60\ in^2}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assingment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]A plane flying horizontally at an altitude of 1 mile and a speed of 570 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 3 miles away from the station. (Round your answer to the nearest whole number.)
The rate at which the distance from the plane to the station increases is 537 miles/hour. Computed using Pythagoras Theorem and Differentiation.
We assume the station to be at point A.
The plane when directly over the station, takes point C.
As it is flying horizontally continuously at an altitude of 1 mile, AC = b = 1 mile.
The plane flies continuously, and when it is at a distance of 3 miles from the station, it is at point B.
The distance between the plane and the station of 3 miles can be shown as AB = c = 3 miles.
The movement of the plane from C to B can be shown as BC = a.
Now, from the given case, we get a right triangle ABC.
By Pythagoras' Theorem,
a² + b² = c² ... (i).
or, a² + 1² = 3²,
or, a² = 9 - 1 = 8,
or, a = 2√2 miles.
We are told that the plane is moving at a speed of 570 miles/hour.
This can be shown as, da/dt = 570 miles/hour.
As the plane is moving horizontally, the vertical distance between the plane and the station doesn't change, that is, db/dt = 0.
In the question, we are asked to find the rate at which the distance from the plane to the station is increasing, that is, we are asked to find dc/dt.
Differentiating (i), with respect to time t, we get:
2a(da/dt) + 2b(db/dt) = 2c(dc/dt).
Substituting values of a = 2√2 miles, b = 1 mile, c = 3 miles, da/dt = 570 miles/hour, and db/dt = 0, we get:
2(2√2)(570) + 2(1)(0) = 2(3)(dc/dt),
or, 2280√2 + 0 = 6(dc/dt),
or, dc/dt = 380√2 miles/hour = 537.40 miles/hour ≈ 537 miles/hour.
Thus, the rate at which the distance from the plane to the station increases is 537 miles/hour. Computed using Pythagoras Theorem and Differentiation.
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is x + 3 a factor of f(x)=x^4+6x^3+5x^2-15x-2
x+3 is not a factor of f(x)=x^4+6x^3+5x^2-15x-2 because there is a remainder of 7 when we use the long division method to divide x+3 with the given function f(x).
What are the factors of a quadratic equation?The factors of a quadratic equation are the simplified form of the quadratic equation, that if multiplied together, results in the original quadratic equation.
Given that:
f(x)=x^4+6x^3+5x^2-15x-2[tex]\mathbf{=\dfrac{x^4+6x^3+5x^2-15x-2}{x+3} }[/tex]
[tex]\mathbf{=x^3+3x^2-4x-3+\dfrac{7}{x+3} }[/tex]
x+3 is not a factor of f(x)=x^4+6x^3+5x^2-15x-2 because there is a remainder of 7 when we use the long division method to divide x+3 with the given function f(x).
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The table below shows the x variable for a table. Choose a corresponding y table that will create a direct variation.
Answer:
table A
Step-by-step explanation:
A direct variation can be expressed as: [tex]\frac{y}{x}=k[/tex]. The y/x is equal to a constant value k. Multiply both sides by x you get: [tex]y=kx[/tex]. So as x increases by 1, y increases by some constant value. So to find which one will create a direct variation, see which of the tables has a constant y/x
Table A:
7/2 = 3.5
14/4 =3.5
17.5/5=3.5
21/6 = 3.5
this has a constant y/x so it is a direct variation
Table B:
7/2 = 3.5
14/4 = 3.5
21 / 5 = 4.2
this is not a direct variation, it doesn't have a constant y/x
table C:
7 / 2 = 3.5
14 / 4 = 3.5
15/5 = 3
This is not a direct variation, it doesn't have a constant y/x
table d:
7/2 = 3.5
14/4 =3.5
17/5=3.4
This is not a direction variation, it doesn't have a constant y/x
A painting measures b meters by 4 meters. a frame shop charges $10 per meter for a wooden frame. how much would it cost to buy a frame for the panting?
$ (20b + 80) is the cost to buy a frame for the panting given that measures b meters by 4 meters and charges $10 per meter for a wooden frame. This can be obtained by finding the perimeter of the painting and multiplying with the cost of wood per meter.
What is the cost of buying a frame for the painting?
Given that,
length of the painting (l) = b meters
width of the painting (b) = 4 meters
Perimeter of the painting = 2(l+b)
= 2(b+4)
= 2b + 8
Cost of the frame = (2b + 8)× $10 per meter
= $ (20b + 80)
Hence $ (20b + 80) is the cost to buy a frame for the panting given that measures b meters by 4 meters and charges $10 per meter for a wooden frame.
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Find the sum of the first ten prime numbers. Find the sum of the first ten prime numbers .
The sum of the first ten prime numbers is 129.
What is a prime number?The prime numbers are those numbers that have only one factor namely 1 and the number itself.
The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
Their sum is
2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29
= 129
Hence, the sum of the first ten prime numbers is 129.
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Given quadrilateral ABCD and its image under a dilation centered at the origin, find the scale factor. (note: orange is original image)
The scale factor of the image under a dilation centered at the origin is 2.
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Translation is the movement of a point either up, down, left or right on the coordinate plane.
Let us assume that quadrilateral ABCD have vertices at A(2, 1) while its image has vertices at A'(4, 2), hence:
Scale factor = 4/2 = 2/1 = 2
The scale factor of the image under a dilation centered at the origin is 2.
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PLEASE HURRY!!!!!!!
The manager of a local cable TV company wants to know which of its programs are most popular. Which population should the manager survey to best answer this question?
A. Employees of the cable company.
B. Subscribers to the cable company.
C. Adults listed in the town’s voter registration lists.
D. People who complete a survey on the company’s Web site.
Answer:
B
Step-by-step explanation:
cable subscribers
x^(2)-5x+6=(x+h)^(2)+k solve for k
The value of k is [tex]-h^2 -2xh -5x + 6[/tex]
How to solve the expressionGiven;
x^(2)-5x+6=(x+h)^(2)+k
Expand the expression on the right side, we have
[tex]x^2 - 5x + 6 = (x+ h) (x+ h) + k[/tex]
[tex]x^2 -5x + 6 = x^2 +xh + xh + h^2 +k[/tex]
Collect like terms
[tex]x^2 -5x + 6 = x^2 + 2xh + h^2 + k[/tex]
[tex]x^2 -5x + 6 -x^2 - 2xh -h^2 = k[/tex]
We then have
[tex]-5x + 6 -2xh -h^2 = k[/tex]
[tex]k = -h^2 -2xh -5x + 6[/tex]
Thus, we have k as [tex]-h^2 -2xh -5x + 6[/tex]
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If f(x) is a linear function, what is the value of n?
X
-4
-1
n
2
O 4
05
09
f(x)
-25
-10
20
Answer:
3rd option : 5
Step-by-step explanation:
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its a slope question
f(x) is y
y2-y1/x2-x1
-10+25/-1+4
15/3
5
Since we know that the equation of a line in slope-intercept form is: , where, m= Slope and b= y-intercept.
Upon substituting m = 5 in slope-intercept form of equation we will get,
Now let us find y-intercept by substituting coordinates of one point in our given line.
So the equation of given line will be,
Now let us find value of n by substituting x = n and y = 20 in our equation.
Therefore, the value of n is 5.
A simple random sample of size individuals who are currently employed is asked if they work at home at least once per week. Of the employed individuals surveyed, responded that they did work at home at least once per week. Construct a 99% confidence interval for the population proportion of employed individuals who work at home at least once per week.
The confidence interval of employes individuals from home
Construction of hypothesis:
0.10 - 0.047 < p < 0.10 + 0.047
A simple random sample size n = 250 . Of the 250 employed individuals surveyed,42 responded that they did work home a minimum of once per week.
Construct 99% confidence interval for population
For proportion : 42 / 250 = 1/10 = 0.16
Mean = 2.5 * sqrt [ 0.1 * 0.9 / 250]
= 2.5 * 0.01
= 0.47
Construction of hypothesis:
0.10 - 0.047 < p < 0.10 + 0.047
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The total surface area of a closed cylinder is
5000 cm2
find the dimensions of the cylinder that
maximize its volume and state this maximum
volume.
verify that it is a maximum point.
The maximum volume of the cylinder is 27147.355 at the maximum point [tex]r = \frac{50}{\sqrt{3} }[/tex] .
How do you find the maximum volume of the cylinder?The formula for the volume of the cylinder v = [tex]\pi[/tex][tex]r^{2}[/tex]h, To find the maximum volume of the cylinder we apply the condition of maxima [tex]\frac{\mathrm{d} v}{\mathrm{d} r}[/tex] = 0.
Let r cm be the radius and h cm be the height of the closed cylinder.
Then, Total surface area of the cylinder = [tex]2\pi r(r+h)[/tex]
[tex]5000[/tex] = [tex]2\pi r^{2} +2\pi rh[/tex]
[tex]h[/tex] = [tex]\frac{5000-2\pi r^{2} }{2\pi rh}[/tex] .............(1)
Volume of the cylinder v = [tex]\pi r^{2} h[/tex]
Substitute the value of [tex]h[/tex] in the above equation
[tex]\Rightarrow[/tex] = [tex]\pi r^{2}[/tex] × [tex]\left [ \frac{5000-2\pi r^{2}}{2\pi r} \right ][/tex]
[tex]\Rightarrow[/tex] = [tex]\frac{r}{2}[/tex] × [tex](5000-2\pi r^{2} )[/tex]
[tex]\Rightarrow[/tex] v = [tex]2500r-\pi r^{3}[/tex] ..............(2)
Now, for the maximum volume of the cylinder [tex]\frac{\mathrm{d} v}{\mathrm{d} r}[/tex] = 0
[tex]\Rightarrow[/tex] [tex]\frac{\mathrm{d} (2500r-\pi r^{3})}{\mathrm{d} r} = 0[/tex]
[tex]\Rightarrow[/tex] [tex]3\pi r^{2} = 2500[/tex]
[tex]\Rightarrow[/tex] [tex]r^{2} = \frac{2500}{3\pi }[/tex]
[tex]\Rightarrow[/tex] [tex]r = \frac{50}{\sqrt{3\pi } }[/tex]
Volume is maximum for [tex]r = \frac{50}{\sqrt{3\pi } }[/tex]
Then, v = [tex]2500r-\pi r^{3}[/tex]
[tex]\Rightarrow[/tex] = [tex]2500 \frac{50}{\sqrt{3\pi } } -\pi (\frac{50}{\sqrt{3\pi } } )^{3}[/tex]
[tex]\Rightarrow[/tex] = [tex]\frac{125000}{\sqrt{3\pi } } - \frac{125000}{3\sqrt{3\pi } }[/tex]
[tex]\Rightarrow[/tex] = [tex]\frac{125000}{\sqrt{3\pi } }[/tex]×[tex]\frac{2}{3}[/tex]
[tex]\Rightarrow[/tex] = [tex]\frac{250000}{3\sqrt{3\pi } }[/tex]
[tex]\Rightarrow[/tex] v = 27147.355
Hence, The maximum volume of the cylinder is 27147.355 at the maximum point [tex]r = \frac{50}{\sqrt{3} }[/tex] .
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Twenty children were surveyed about the number of hours they play outside in 1 week. The results are shown below.
6, 5, 4, 3, 0, 7, 1, 5, 4, 4, 3, 2, 2, 3, 2, 4, 3, 4, 0, 7
Complete and upload the frequency table below and create a histogram to display this data. Make sure there is only 4 intervals.
The data can be shown in the frequency table with only 4 intervals and the histogram is shown in the picture.
What is a histogram?It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.
We have data:
6, 5, 4, 3, 0, 7, 1, 5, 4, 4, 3, 2, 2, 3, 2, 4, 3, 4, 0, 7
Intervals Frequency
0 - 3 6
3 - 6 11
6 - 9 3
9 - 12 0
The histogram is shown in the attached picture.
Thus, the data can be shown in the frequency table with only 4 intervals and the histogram is shown in the picture.
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A counter in Lamar's kitchen is 1 yard wide and 2 yards long. Lamar wants to replace the counter with a granite countertop, which would cost $204.63 per square yard. How much would the granite countertop cost?
Answer:
Step-by-step explanation:
Comment
Find the number of square yards
Area = L * w
L = 2
w = 1
Area = 2 * 1
Area = 2
Now for the counter top
1 sq yard costs 204.63
2 sq yards cost 2 * 204.63
2 sq yards cost 409.26
Answer: 409.26
4(x + 4) + 6
Simplify algebraic expressions
Answer:
4x+22
Step-by-step explanation:
distribute 4(x+4)
it would become 4x+16+6
16+6 = 22
4x+22
ASAP PLEASE (this is like five questions in one) GIVING 15 POINTS!!!
3. find x
4. find x
7. find y
6. find x
8. find y
Answer:
D
21√2/2
C
C
C
Step-by-step explanation:
For all problems, the ratios of the lengths of the sides are:
30-60-90 triangle 1 : √3 : 2
45-45-90 triangle 1 : √2 : √2
Problem 3:
30-60-90 triangle at left
Hypotenuse = 11
Short leg = 11/2
Long leg = 11/2 × √3
45-45-90 triangle at right
x = 11/2 × √3 × √2 = 11√6/2
Answer: D
Problem 4:
30-60-90 triangle at top
Hypotenuse = 7√3
Short leg = 7√3/2
Long leg = 7√3/2 × √3 = 7 × 3/2 = 21/2
45-45-90 triangle at right
x = 21/2 × √2 = 21√2/2
Answer: 21√2/2
Problem 7:
30-60-90 triangle
Long leg = 4√3
Short leg = y = 4√2/2 = 2√2
Answer: C.
Problem 6:
30-60-90 triangle at left
Hypotenuse = 12√6
Short leg = 12√6/2 = 6√6
Long leg = 6√6 × √3 = 6√2√3√3 = 18√2
45-45-90 triangle at right
x = 18√2/√2 = 18
Answer: C.
Problem 8:
45-45-90 triangle
Hypotenuse = 2
Leg = y = 2/√2 = 2√2/(√2√2) = √2
Answer: C.
What is the pattern in the values as the exponents increase?
Powers of 2
Value
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 3
StartFraction 1 Over 8 EndFraction
2 Superscript negative 2
One-fourth
2 Superscript negative 1
One-half
2 Superscript 0
1
add StartFraction 1 Over 16 EndFraction to the previous value
subtract StartFraction 1 Over 16 EndFraction from the previous value
divide the previous value by 2
multiply the previous value by 2
The pattern in the values as the exponents increase is multiply the previous value by 2.
What is exponents and powers?Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.
Given:
Powers of 2 Values
[tex]2^{-5}[/tex] 1/32
[tex]2^{-4}[/tex] 1/16
[tex]2^{-3}[/tex] 1/8
[tex]2^{-2}[/tex] 1/4
[tex]2^{-1}[/tex] 1/2
As, from the given data we can see that negative powers of 2 reducing by 1.
as, 2^-5 * 2= 2^-4
Hence, multiply the previous value by 2 to obtain the next value.
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