Answer:
multiply the bottom equation by 6
The capacity of a CD-ROM is 800 MB (800 x 20 raised to 20 bytes). It stores information along a spiral track. If each byte uses a space of 9 microns, what is the length of the complete track in m? (Hint: 1 micron= 10 Raised to-6m)
Answer:
The length of the complete track= [tex]7.549\times 10^{23} m[/tex]
Step-by-step explanation:
We are given that
Capacity of CD-ROM=800MB=[tex]800\times 20^{20} bytes[/tex]
1 byte=9 microns
[tex]1micron=10^{-6}m[/tex]
We have to find the length of the complete track in m.
We change MB into micron
[tex]800\times 20^{20} bytes=800\times 20^{20}\times 9microns[/tex]
=[tex]7200\times 20^{20} microns[/tex]
Now, we change micron into m
[tex]7200\times 20^{20} microns=7200\times 10^{-6}\times 20^{20} m[/tex]
=[tex]7.549\times 10^{23} m[/tex]
Hence, the length of the complete track= [tex]7.549\times 10^{23} m[/tex]
Betty and Billy are selling cookies at the school bake sale. Billy sold twice as many cookies as Betty. Together, they sold 15 cookies at the bake sale. Could Betty have sold 3 cookies
No Betty would have sold at least 5 cookies.
We know that 2/3 of 15 is 10 and that 5 also happens to be half of this number.
It adds up to 15 all while the number of cookies sold by Billy is still twice a much as the cookies sold by Betty. Therefore Betty would have had to sell at least 5 cookies.
Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480
Answer:
5040
Step-by-step explanation:
The given series is :
24 + 48 + 72 + 96 +...+ 480
The first term, a= 24
Common difference, d = 24
The last term, [tex]a_n=480[/tex]
Let there are n terms in the AP.
So,
[tex]a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20[/tex]
There are 20 terms in the series. The sum of 20 terms is :
[tex]S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040[/tex]
So, the sum of the given arithmetic series is equal to 5040.
WHAT IS THE VALUE OF ANGLE N?
Answer:
32 degrees
Step-by-step explanation:
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. Angle N perfectly fits this description. An inscribed angle is equal to 1/2 of its intercepted arc (the arc opposite the angle). The arc opposite angle N is equal to 64 degrees, so angle N is equal to 1/2 of that, or 32 degrees
Give the algebraic expression by using variables and constant and arithmetic operations: i. Sum of the squares of x and y. ii.Product of "x" and "y" subtracted from 9. Pls fast
Answer:
a) x^2 + y^2
b) 9-xy
Step-by-step explanation:
Here, we want to write the algebraic statements as expressions;
a) The sum of the squares of x and y
The square of x is x^2
The square of y is y^2
The sum of the squares is x^2 + y^2
ii) Product of x and y subtracted from 9
The product of x and y is x * y = xy
Subtracting these from 9, we have;
9-xy
2 Kenedi has a piece of ribbon that measures
24 inches long. She cuts the ribbon into
15 equal pieces to attach to her dance
costume. Kenedi uses the expression shown to
calculate the length of each piece of ribbon she
uses on her costume.
241 - 15
Which of the following expressions CANNOT be
used to determine the length of each piece of
ribbon?
15
F99=
G (242) (15)
H7+15
J 241-15
Answer:
The length of each ribbon is 1.6 inches
Step-by-step explanation:
From the question, we are told that:
Kenedi has a piece of ribbon that measures 24 inches long. She cuts the ribbon into 15 equal pieces to attach to her dance costume
Hence, the expression that can be used to show how to calculate the length of each piece of ribbon is given as:
24 inches ÷ 15 pieces
= 24 ÷ 15
= 1.6 inches
Therefore, the length of each ribbon is 1.6 inches
How many solutions does the following system of linear equations have?
y = 5x – 2
( y= 5x+4
O No solutions
O One solution
0 Two solutions
O Infinite solutions
Answer:
No Solution
Step-by-step explanation:
because both of them have same gradient or slope.
we can say that those linear equations are parallel
Select the correct answer.
Alan's dogs have a total of 24 legs (l). If each dog has 4 legs, which equation gives the number of dogs (d) that Alan has?
A.
4 × d = 24
B.
4 × l = 24
C.
4 + d = 24
D.
4 + l = 24
does anyone know the answer to that question i need it ASAP !!!!
Answer:
the answer is a 4 x d = 24 I think
The polynomial function 1x) = 5x^5+16/5x-3
is graphed below
Which is a potential rational root of f(x) at point P?
What are the apparent coordinates of the midpoint of ab
Answer:
A. [tex](-1,-2)[/tex]
Step-by-step explanation:
Hope this helps you.
( -4, 1 ) and ( 2 , -5 )
Now,
mid point = ( 2 - 4 )/2 , ( -5 + 1 )/2
= ( -2 /2 ) , ( -4 /2)
= ( - 1, - 2 )
A ( - 1, - 2 )
I hope it's help you...
Mark me as brainliest...
solve the missing side in the right triangle below
Answer: the root of 145 so b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Use the Pythagorean theorem:
a^2 + b^2 = c^2
9^2 + 8^2 = c^2
81 + 64 = c^2
144 = c^2
[tex]\sqrt{144}[/tex] = c
Remember, C is always the hypotenuse, or the longest side. A and B can be either base.
A passenger traveling by air is allowed a maximum of 20kg luggage. A man has 4 bags weighing 3.5kg , 15kg, 2kg, 1.5kg. Find the excess weight of the luggage. Express the excess weight as a percentage of the maximum weight
Answer:
The passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.
Step-by-step explanation:
First, we need to find the weight (W) of the 4 bags:
[tex] W = 3.5 kg + 15 kg + 2 kg + 1.5 kg = 22 kg [/tex]
Now, knowing that the maximum allowed (M) is 20 kg the excess weight of the luggage is:
[tex] W_{e} = W - M = 22 kg - 20 kg = 2 kg [/tex]
We can express the excess weight in percentage as follows:
[tex] \% W_{e} = \frac{W_{e}}{M} \times 100 = \frac{2 kg}{20 kg}\times 100 = 10 \% [/tex]
Therefore, the passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.
I hope it helps you!
A sporting goods store pays $200 for a rubber raft. The percent of markup is 26%.
Find the raft's selling price,
help me find the size of the rhombus :)
Answer:
Step-by-step explanation:
The diagonals of a rhombus divides it into four congruent right triangles. Each triangle is a mirror image of the adjacent.
Therefore angle 2 is the alternate interior angle of 57°, and angle 3 is the mirror image, so also 57°.
Angles 1 is the complement of angle 3, and angle 4 is equal to the complement of angle 2 , so both equal 90-57 = 33°.
To summarize,
angle 1 = 33°
angle 2 = 57°
angle 3 = 57°
angle 4 = 33°
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer:
Correct Answer: A.
Step-by-step explanation:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
Anthony is building a cube-shaped box to store some of his smaller crafting supplies. The formula for the surface area of a cube is SA = 6s 2 , where s is the side length of the cube. If he has a total of 200 in. 2of cardboard, can Anthony build a box where s = 6 in.?
A) No, he needs 16 in. 2more cardboard.
B) No, he needs 232 in. 2more cardboard.
C) Yes, he will have 56 in. 2of cardboard left over.
D) Yes, he will have 128 in. 2of cardboard left over
Answer:
I'll go through the setup and let you compute the answer
Step-by-step explanation:
I think you meant
[tex]SA = 6 {s}^{2} [/tex]
and the sheet of cardboard if
[tex]200 {in}^{2} [/tex]
Find the surface area of a 6 inch cube
[tex]SA = 6 \times {6}^{2} [/tex]
if you have questions, you can send a comment
Choose the expression that represents a linear expression 6x+6. -6x^2+8x-9. 8x^3+9x^2-10x+11. 7x^4-8x^3+9x^2-10x+11
Answer:
[tex]6x + 6[/tex]
Step-by-step explanation:
a linear expression is the form
[tex]y = mx + b[/tex]
3. If a + b = C, which of the following statements is true?
Answer:
first one
Step-by-step explanation:
a + b = c
subtract a from both sides
b = c - a
or
c - a = b
[tex]\longrightarrow{\green{ a. \: c - a = b }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]a + b = c[/tex]
[tex]⇢ b = c - a[/tex]
[tex]⇢ c - a = b[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Given two similar cylinders with a height ratio of 2:3 what is the ratio of their volumes?
Answer:
8 : 27
Step-by-step explanation:
The ratio of the volumes is the ratio of the scale factor cubed
2^3 : 3^3
8 : 27
Answer:
8 : 27
Step-by-step explanation:
Given 2 similar cylinders with height ratio = a : b , then
ratio of volumes = a³ : b³
Here height ratio = 2 : 3
ratio of volumes = 2³ : 3³ = 8 : 27
write an equation for the sentence: the sum of six and twice a number is equal to sixteen minus the number.
URGENT! ONLY HAVE 5 MINUTES!
Answer:
6+2x=16-x.
Step-by-step explanation:
X will represent the missing number. Sum means 6, twice that number means multiply it by two, equal represents =, minus represents this, therefor the equation 6+2x=16-x represents the correct answer.
In the diagram below, AJKL is an equilateral triangle and KM I JL.
к
3
2
Which statement must be true?
O A. JK = KM
B. AJKM is a 30-60-90 triangle.
O C. KM = 2 .JM
D. AJKM is a 45-45-90 triangle.
Answer : B
Step-by-step explanation:
Ape
The statement which is true is KM = 2 .JM, the correct option is C.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We are given that;
AJKL is an equilateral triangle
Now,
Using these properties, we can eliminate some of the options.
Option A is false because JK and KM are not equal. JK is half of JL, which is one side of the equilateral triangle AJKL, while KM is a perpendicular bisector of JL.
Option B is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 90 degrees.
Option D is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 45 degrees.
Option C must be true because KM bisects JL into two equal parts JM and ML. Since JL is one side of the equilateral triangle AJKL, we have JL = AK = AL. Therefore, JM = ML = JL/2 = AK/2 = AL/2. By Pythagoras’ theorem, we have:
KM^2 = AK^2 - AM^2
KM^2 = (AK/2)^2 - (AL/4)^2
KM^2 = (AK/4)^2 + (AL/4)^2
KM^2 = ((AK + AL)/4)^2
Since AK + AL = 2 * JL,
KM^2 = (JL/4)^2 * 4
KM^2 = (JL/4)^2 * 4
KM = JL/4 * 2
KM = JL/2
Therefore, the answer of the triangle will be KM = 2 * JM.
Learn more about a right triangle;
https://brainly.com/question/7116550
#SPJ7
In 2 Year 6 classes, 2/5 of the children are girls. There are 39 boys. How many children are there in the class?
What are the possible degrees for the polynomial function?
Answer:
degrees of 5 or greater
Step-by-step explanation:
peaks counted are 5
फरक परेछ? A person deposited Rs. 80,000 in bank 'P' for 2 years at the rate of 10% annual compound interest. But after one year bank has changed the policy and decided to pay semi-annual compound interest at the same rate. What is the percentage difference between compound interests of the first year and second year? Give reason with calculation,
Answer:
you nepali me nepali all are nepalese nepalese are only unintelligent
Helpppppp y’alllllllllll
Answer:
[tex]V=83.73\ in^3[/tex]
Step-by-step explanation:
The capsule is in the shape of two hemispheres and cylinder.
The volume of the container = volume of two hemispheres + volume of cylinder
The radius of the container, r = 2 in
Height of the cylindrical part, h = 8 in - 4 in = 4 in
So,
[tex]V=2\times \dfrac{2}{3}\pi r^3+\pi r^2 h\\\\=\dfrac{4}{3}\pi r^3+\pi r^2 h\\\\V=\pi r^2 (\dfrac{4}{3}r+h)[/tex]
Put all the values,
[tex]V=3.14\times 2^2 (\dfrac{4}{3}\times 2+4)\\\\V=83.73\ in^3[/tex]
So, the volume of the container is equal to [tex]83.73\ in^3[/tex].
a and b share the cost in a ratio of 3:2 a pays £125 how much would b pay
Answer:
[tex]{ \bf{total \: ratio = 3 + 2 = 5}} \\ \\ = { \tt{ \frac{2}{5} \times 125}} \\ = £50[/tex]
What is this? Ianjansjshshsjssjsjjss
Answer:
1.2
Step-by-step explanation:
We want to find the y value when x = -6
When x = -6, y = 1.2
What is the area of ABC?
This value is approximate.
=========================================================
Work Shown:
area = 0.5*side1*side2*sin(included angle)
area = 0.5*AB*AC*sin(A)
area = 0.5*11*18*sin(55)
area = 81.0960523846101
area = 81.1 cm^2
The cm^2 refers to "square cm".
Notice that the angle must be between the two sides, hence the "included".
the ratio of games lost to games won by a cricket team is 2:3. the team has won 18 games.how many games did they lose?
Answer:
they lost 12 games
Step-by-step explanation:
18÷3=6
6×2=12
Please someone help me out
Answer:
812 in²
Step-by-step explanation:
The area (A) is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 29 and h = 28 , then
A = 28 × 29 = 812 in²