Answer:
81
Step-by-step explanation:
That's the squared symbol, it means to multiply the number by itself x amount of times. 9 times 9 = 81
Given \( i^{(2)}=1.45000 \% \), find the equivalent effective bi-weekly rate. a. \( 0.05558 \% \) b. \( 0.05336 \% \) c. \( 0.05114 \% \) d. \( 0.05447 \% \) e. \( 0.05003 \% \)
The equivalent effective bi-weekly rate is approximately 0.01456%.
To find the equivalent effective bi-weekly rate, we need to convert the given nominal rate \(i^{(2)} =1.45000\%\) to the effective rate for a bi-weekly period.
The formula to convert a nominal rate to an effective rate is \(i^{(m)} =(1+r/m)^{m}-1\), where \(i^{(m)}\) is the effective rate, r is the nominal rate, and m is the number of compounding periods per year.
In this case, we have a nominal rate \(i^{(2)}\) that corresponds to a semi-annual compounding (2 periods per year). We can plug the values into the formula and calculate the effective rate \(i^{(bi-weekly)}\) for a bi-weekly period.
\(i^{(bi-weekly)}=(1+1.45000/2/100)^{2}-1\)
Calculating the expression:
\(i^{bi-weekly}=(1+0.00725)^{2} -1\\i^{bi-weekly}= 1.0145640625-1\\i^{bi-weekly}= 0.0145640625\)
The equivalent effective bi-weekly rate is approximately 0.01456%.
Among the given options, none of them match the calculated value exactly.
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Surface area of image
The surface area of the cuboid is 3.286 cm²
What are the surface area of a cuboid?A cuboid is a solid shape or a three-dimensional shape.
Surface area is the amount of space covering the outside of a three-dimensional shape.
The surface area of a cuboid is expressed as;
SA = 2( lb + lh + bh)
length = 1 2/5 = 7/5
breadth = 5/8
height = 3/8
lb = 7/5 × 5/8 = 7/8
bh = 5/8 × 3/8 = 15/64
lh = 7/5 × 3/8 = 21/40
surface area =2( 7/8 + 15/64+21/40)
= 2( 0.875 + 0.234 + 0.525)
= 2( 1.634)
= 3.268 cm²
The surface area of the cuboid is 3.268 cm²
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Please help me with this question
if any doubt leave a comment
Lola lives 3/4 mile from basketball court she has already walked 2/3 of the way to the basketball court
Answer:
She walked 5 miles
Step-by-step explanation:
solve equation 8+6x-10x=16-8x
Answer:
8 + 6x - 10x = 16 - 8x
This is
8 = 4x
So, x = 2 :)
Answer:
\(\boxed {x = 2}\)
Step-by-step explanation:
Solve for the value of \(x\):
\(8 + 6x - 10x = 16 - 8x\)
-Combine like terms:
\(8 + 6x - 10x = 16 - 8x\)
\(8 + -4x = 16 - 8x\)
-Take \(8x\) and add it to \(-4x\):
\(8 + -4x + 8x = 16 - 8x + 8x\)
\(8 + 4x = 16\)
-Subtract \(8\)to both sides:
\(8 - 8 + 4x = 16 - 8\)
\(4x = 8\)
-Divide both sides by:
\(\frac{4x}{4} = \frac{8}{4}\)
\(\boxed {x = 2}\)
So, the value of \(x\) is \(2\).
simplify (4m+5n)^2+(5n+4n)^2
Answer:
16m^2+40mn+106n^2
which of the following can be a triangle? choose all the possible answers.
Answer:
All except 2,5,3
Step-by-step explanation:
To make a triangle, two of the side lengths added together should always be larger than the third side length. Otherwise, the triangle could not be formed since the sides could not reach each other. This means that the sides 2,5,3 cannot work. Hope this helps!
the perimeter of a rectangular room is 60m.what is the width of the room if the length is 18m
Answer:
12
Step-by-step explanation:
18*2=36, 60-36=24, 24/2=12
The width of the room if the length is 18m is 1.66m.
We have given that,
Perimeter=60 and length=18m
What is the formula for the perimeter of the rectangle?
P=2(l+w)
Where the l is the length and
W is the width
Perimeter=60 and length=18m.
Use this value in the formula of perimeter
60=2(18×W)
Divide both sides by 2
30=18w
isolate the w
Therefore, divide both sides by 18.
30/18=w
W=1.66m
Therefore the width of the room if the length is 18m is 1.66m.
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Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise?
Answer:
Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise?Step-by-step explanation:
solve for x -
\(x {}^{2} - 6x + 5= 0\)
ty! ~
Answer:
x = 5, x = 1
Step-by-step explanation:
Hello!
We can solve this quadratic by factoring.
Solve\(x^2 - 6x + 5 = 0\)\(x^2 - 5x - x + 5 = 0\)\(x(x - 5) - 1(x - 5) = 0\)\((x - 5)(x - 1) = 0\)Use the zero product property:
x - 5 = 0x = 5, or x = 1
In a soccer game, $\frac{1}{8}$
of the players on Team A and $\frac{1}{5}$
of the players on Team B score a goal. A total of 3 players on Team A and 4 players on Team B score a goal. How many players are on each team?
Team A:
players
Team B:
players
The total number of players on team A 24 is and on team B is 20.
The quantitative relation is outlined because the comparison of 2 quantities of constant units that indicates what proportion} of 1 amount is gift within the alternative quantityLet the total numbers of player team A have be "x" and total numbers of player team B have be "y"
It is given that 1/8 of the players score a goal and total of 3 players on Team A score a goal which can be represented by
1/8(x) = 3
x = 3 × 8
= 24
It is given that 1/5 of the players score a goal and total of 4 players on Team B score a goal which can be represented by
1/5(y) = 4
y = 4 × 5
= 20
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At noon on March 21st, what is the local sidereal
time?
a.
00:00
b.
06:00
c.
12:00
d.
18:00
e.
21:00
According to the question The local sidereal time (LST) at noon on March 21st is approximately 12:00 (option c).
To determine the LST, we need to consider the rotation of the Earth and its relation to the stars. LST is based on the apparent motion of the vernal equinox, which completes a full cycle in approximately 24 hours.
Since noon is halfway through the day, we can estimate that the LST at noon would be approximately half of 24 hours, which is 12:00. This assumes that we are considering a location where the local time is synchronized with the standard time zone and there are no factors like daylight saving time or variations in the location's longitude that can affect the LST calculation.
Therefore, the correct answer is option c) 12:00 local sidereal time.
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evaluate the difference between 5.1 and 1.8
Step-by-step explanation:
to evaluate the difference between them so,
subtract 1.8 by 5.1
so,
5.1 - 1.8 = 3.3
so difference between them is 3.3
hope this answer helps you dear..take care and may u have a great day ahead!
\(\huge\text{Hey there!}\)
\(\large\textsf{Evaluate the difference between 5.1 \& 1.8: }\)
\(\large\text{The word difference means \bf subtract/ take away.}\)
\(\large\textsf{So, we will take away 5.1 from 1.8 each other}\)
\(\large\text{5.1 } - \large\text{ 1.8}\)
\(\large\textsf{Start at \underline{5.1} and end at \underline{1.8} \& you will have your result to this question.}\)
\(\large\text{Solve above and you should get the result of: 3.3}\)
\(\huge\boxed{\boxed{\textsf{Therefore, your answer is: \bf 3.3}}}}\huge\checkmark\)
\(\large\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Simplify to a single power of 5: 5^8/5^6
Answer:
5^8/5^6 = 5^(8-6) = 5^2 = 25. Therefore, 5^8/5^6 simplified to a single power of 5 is 25.
Step-by-step explanation:
Answer:
the answer for that is 5^6-3 = 5^3 = 125
Step-by-step explanation:
Peter walks to school each morning. One particular morning he found $10 on the ground. He
stopped at the store and used that money to buy 2 bags of Takis and a bag of Flamin' Hot
Cheetos. The Takis cost $1.79 per bag and the Cheetos cost $1.59. Later that day he bought a
school lunch for $3. He sold one of the bags of Takis to a friend for $2. On the way home he
gave his sister $1.50 to buy candy. What integer represents the money Peter has left from the
$10 he found that morning? *
Answer:
2.33
Step-by-step explanation:
1. Dan painted 3/5 of a wall using 1/5 of a can of paint. How many walls can he paint using one can of paint?
One can of paint will cover 3 walls.
Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form
(-3,5). (3.3)
Answer:4/3 i think
Step-by-step explanation:
Answer:
Point-slope form:
\(\displaystyle y-3=-\frac{1}{3}(x-3)\)
Slope-intercept form:
\(\displaystyle y=-\frac{1}{3}x+4\)
Step-by-step explanation:
We want the equation in point-slope form and slope-intercept form that passes through the points (-3, 5) and (3, 3).
First, we will find the slope between the two points. By the slope formula:
\(\displaystyle m=\frac{5-3}{-3-3}=\frac{2}{-6}=-\frac{1}{3}\)
Point-slope form is given by:
\(\displaystyle y-y_1=m(x-x_1)\)
We can choose either point. I'm going to let (3, 3) be (x₁, y₁). The slope m is -1/3. Therefore:
\(\displaystyle y-3=-\frac{1}{3}(x-3)\)
Is the point-slope form*.
To find the slope-intercept form, we simply need to isolate y. Distribute:
\(\displaystyle y-3=-\frac{1}{3}x+1\)
Adding 3 to both sides yields:
\(\displaystyle y=-\frac{1}{3}x+4\)
This is slope-intercept form.
*If you use the other point, the point-slope form will be:
\(\displaystyle y-5=-\frac{1}{3}(x+3)\)
plss helpppssss
6 th grade math
Answer:
Step-by-step explanation:
By the figure, it would mean:
67, 67, 68
72, 72, 73, 76, 76, 77, 78
80, 81, 83, 83, 85, 85, 85, 87, 88
91, 91, 93, 95, 99
a) 2 students
b) 9 students
c) 2 students
Explanation : 5 students (90s) - 3 students (60s) = 2 students
d) 81
Explanation : (67 + 67 + 68 + 72 + 72 + 73 + 76 + 76 + 77 + 78 + 80 + 81 + 83 + 83 + 85 + 85 + 85 + 87 + 88 + 91 + 91 + 93 + 95 + 99) ÷ 24 = 81.33
What is the part of line having 1 endpoint and extending in one direction?
A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.
A ray is named using its endpoint first, and then any other point on the ray
Properties of ray:
A line is a series of points placed together that continue infinitely.When this line is restricted from one direction and is extended in the other direction indefinitely, it forms a ray.It has just one starting point and does not have an opposite end and goes through and cuts many points and lines and is often used to draw angles, and we cannot measure the length of a ray.To know more about ray:
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х
3
3(x+4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
O 3x+12
O (3 + x) +4
O (x + 4) - 3
O 3x + 4
Answer:
O 3x+12
Step-by-step explanation:
3(x + 4) = (3 · x) + (3 · 4)
= 3x + 12
Solve 3.18 x 16
SLOVE IT!!!!!
Answer:
50.88
Step-by-step explanation:
The Answer is
50.88
Hope this helps!
the growth of yeast cultures in a medium shows what kind of growth, linear or logarithmic?
The growth of yeast cultures in a medium typically exhibits logarithmic growth.
In logarithmic growth, the population size increases exponentially over time, meaning that the growth rate is proportional to the current population size.
This results in a characteristic J-shaped curve when the population size is plotted against time.
During the early stages of yeast culture growth, there is a lag phase where the population adjusts to the new environment and begins to adapt and reproduce.
Following this phase, yeast cells enter the exponential or logarithmic growth phase, where the population size increases rapidly.
The growth rate is high during this phase as each yeast cell divides and produces new cells, leading to a doubling of the population within a specific time frame.
Logarithmic growth eventually reaches a stationary phase, where the growth rate slows down, and the population stabilizes.
This occurs when the available nutrients in the medium start to become limited or when waste products accumulate, creating an unfavorable environment for further growth.
Therefore, the growth of yeast cultures in a medium shows logarithmic growth.
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what best describe the relationship between 1 and 2
Answer:
I think your correct
Step-by-step explanation:
the answer you picked looks like an image on my notes
sorry if its not
Need help now send me a notice if u get it
Answer:
1/4
2/8
.25
1:4
Step-by-step explanation:
Answer: 1/4 (Simplified) and 16/64
Step-by-step explanation:
8/32 can be written as 1/4 (Simplified) and 16/64 (Larger Ratio)
In percentage = 0.25
Please Help Me I'm going to cry If don't get this right ASAP!!!! 100 points Whoever answers gets Brainllest.
A car can travel 100 km on five liters of gas. How many liters will be needed to travel 40 km?
Answer:
2
Step-by-step explanation:
40 x 5 ÷ 100
2 x 5 ÷ 5 = 2
when two chords intersect at the center of a circle, are the measures of the intercepting arcs sometimes, always, or never equal to each other?
When two chords intersect at the center of a circle, the measures of the intercepting arcs are always equal to each other. This is known as the "intercept theorem" or "arc-chord theorem."
To understand why this is the case, we need to look at some key concepts in circle geometry. First, we know that the center of a circle is equidistant from all points on the circle. This means that any chord passing through the center must be a diameter, since it connects two points on the circle that are directly opposite each other.
Second, we know that the measure of an arc is equal to twice the measure of the angle it subtends (or "cuts off") at the center of the circle. This means that if we draw two chords that intersect at the center of the circle, each chord will cut off an arc that is half the measure of the angle formed by the chords.
Now, since the chords intersect at the center of the circle, they form two congruent angles (since they share a common vertex and their sides are radii of the circle). Therefore, the two arcs that are cut off by the chords are also congruent, since they have half the measure of the same angle.
In conclusion, when two chords intersect at the center of a circle, the measures of the intercepting arcs are always equal to each other. This is a fundamental property of circles that has many applications in geometry and other areas of mathematics.
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5/30 = x/90
solve for X
it is reduced I think. so the answer would be 10
Can someone please help me with math.
Kurt needs 2 1/2 pounds of chocolate chips to make cookies. How many ounces of chocolate chips does he need?
Help
Answer:
40 ounces
Step-by-step explanation:
2.5x 16= 40