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]
Write an equation for the following parabola. A. (x+5)^2+5 B. (x-3)^2+4 C. (x-5)^2+4 D. (x+3)^2+5 Please select the best answer from the choices provided
Answer:B
Step-by-step explanation:
A(3;4) in the parabola.
The answer B: y=(x-3)^2 +4.
y=yA=4; x=xA= 3
=> 4=(3-3)^2+4 (right)
Parrel lines and angles how do I do this one
Answer:
Step-by-step explanation:
if two lines are parallel and a transversal cuts it,then corresponding angles are equal.
?=130°(corresponding angles)
Find the volume of this sphere.
Use 3 for TT.
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Very sry to tell that I really don't know it...
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
six and one over twelve
Step-by-step explanation:
1/4 + 5 5/6=1/4+35/6 = 6 1/12
step 3 35
6
step 4 answer = 35
6
The weights of dogs in a dog show is normally distributed with a mean of 58 pounds and a standard deviation of 15 pounds. What is the probability that the weight of the dogs are between 35.5 and 65.5 pounds?
Given:
The weights of dogs in a dog show is normally distributed.
Mean = 58 pounds
Standard deviation = 15
To find:
The probability that the weight of the dogs are between 35.5 and 65.5 pounds.
Solution:
We know that,
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
Where, [tex]\mu[/tex] is mean and [tex]\sigma [/tex] is the standard deviation.
We need to find the value of [tex]P(35.5<x<65.5)[/tex].
[tex]P(35.5<x<65.5)=P\left(\dfrac{35.5-58}{15}<\dfrac{x-58}{15}<\dfrac{65.5-58}{15}\right)[/tex]
[tex]P(35.5<x<65.5)=P\left(-1.5<z<0.5\right)[/tex]
[tex]P(35.5<x<65.5)=P\left(z<0.5\right)-P\left(z<-1.5\right)[/tex]
Level of significance is 95%.
[tex]P(35.5<x<65.5)=0.69146-0.066807[/tex]
[tex]P(35.5<x<65.5)=0.624653[/tex]
[tex]P(35.5<x<65.5)\approx 0.6247[/tex]
Therefore, the probability that the weight of the dogs are between 35.5 and 65.5 pounds is about 0.6247.
using appropriate properties find the value of 3/5×(-3)/10+1/15-3/5×1/5 please help me out
3/5×(-3)/10 + 1/15 - 3/5×1/5 = -7/30 ≅ -0.2333333
I hope this helps!
Question 2 of 25
If you apply the changes below to the absolute value parent function, f(x) = [XI,
what is the equation of the new function?
• Shift 4 units to the right.
• Shift 6 units up.
Answer:
[tex]g(x) = |x-4|+6[/tex]
Step-by-step explanation:
shift 4 to the right --> x-4
shift 6 up --> +6
Determine whether each of the following problems
will have a rational or an irrational answer. Your
answer should be either the word "rational or
"irrational."
18 + 1
Answer:
irrational
Step-by-step explanation:
pi itself is irrational, so adding something to it makes no difference
Answer: Irrational
Step-by-step explanation: The sum of two rational numbers is
✔ always rational.
The sum of a rational number and an irrational number is
✔ never rational.
The product of a rational number and an irrational number is
✔ always irrational.
The product of two rational numbers is
✔ never irrational.
Determine whether each of the following problems will have a rational or an irrational answer. Your answer should be either the word “rational” or “irrational.”
18+pi = irrational
A repeating decimal + A fraction =rational
3/13 x sqrt 52 =irrational
Find the value of x in the given
right triangle.
12
x = [?]
X
62°
Enter your answer as a decimal rounded to the
nearest tenth.
Answer:
You divide 62/12=5.166
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 66m wide. What is the length of a training track running around the field? (Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.)
Answer:
401.24m
Step-by-step explanation:
the length is,
97x2 + 66x3.14
josh desposited $1,500 into an account that earns 6% simple interest every year. how much money would be in his account after 20 years ?
Answer:
Step-by-step explanation: example:
Problem: You deposit some money into a bank account paying 2% simple interest per 6 months. You received $15 in interest after 9 months. How much the deposit (principal) was?
Result: The principal was $500.
STEP 1: Convert interest rate of 2% per 6 months into rate per year.
STEP 2: Convert 9 months
STEP 3: Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example I = $15, i = 4% and t = 0.75 years, so
Sin0=12/37 find tan0
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provide - Sin θ = [tex] \frac{12}{37} [/tex] which means 12 is the perpendicular & 37 is the hypotenuse [ Since Sin θ = [tex] \tt{ \frac{p}{h}} [/tex] ] . We're asked to find out tan θ ].[tex] \large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} : [/tex]
[tex] \large{ \tt{❊ \: {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]
[tex] \large{ \tt{⇢ {p}^{2} + {b}^{2} = {h}^{2} }}[/tex]
[tex] \large{ \tt{⇢ \: {b}^{2} = {h}^{2} - {p}^{2} }}[/tex]
[tex] \large{ \tt{⇢ \: {b}^{2} = {37}^{2} - {12}^{2} }}[/tex]
[tex] \large{ \tt{⇢ \: {b}^{2} = 1369 - 144}}[/tex]
[tex] \large{ \tt{ ⇢{b}^{2} = 1225}}[/tex]
[tex] \large{ \tt{⇢ \: b = \sqrt{1225}}} [/tex]
[tex] \large{ \tt{⇢ \: b = 35 \: \text {units}}}[/tex]
Now , We know - Tan θ= [tex] \tt{ \frac{perpendicular}{base} }[/tex]. Just plug the values :[tex] \large{ \tt{➝ \: Tan \: \theta = \frac{p}{b} = \boxed{ \tt{ \frac{12}{35} }}}}[/tex]
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the taco truck sells tacos for $3 and burritos for $4. the number of items sold on a tuesday is 125 with a total income of $430. how many tacos were sold?
Answer:
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
3 T + 4 B =425
T + B = 125
Where T is the number of tacos sold, and B is the number of burritos sold.
Multiplying the second equation by 3, and subtracting it to the first equation:
3 T + 4 B =425
3T + 3B = 375
___________
B =50
Replacing B in any equation:
T + B = 125
T +50 =125
T =125-50
T = 75
Feel free to ask for more if needed or if you did not understand something.
Please help!! Thank you if you do!!
can you help answer these:
1) (-3 ) * ( + 3 ) = ___
2) ( - 3) * ( - 3)= ______
3) ( + 20 ) ( + 5) = ____
4) ( + 21 ) ( - 3 ) )= ___
5) (-2) * (+3) * (- 4) = ___
Answer:
1) -3 x 3=-9
2) -3x-3=9
3)20x5=100
4) 21x-3=-63
5) -2x3x-4=24
note: negative x positive= negative
negative x negative=positive
positive x positive= positive
Step-by-step explanation:
hope this is helpful
Step-by-step explanation:
(-3)*(1+3) = -9 (-3)*(-3) = 9(+20)(+5) =100(+21)(-3) = -63(-2)*(+3)*(-4) = 24
Find two integers whose sum is -10 and product is 16
TWO INTERGES PLEASE
Answer:
-2 and -8
Step-by-step explanation:
-2 + (-8) = -10
-2 * -8 = 16
2x + z = 46
3z= 18
2y + z= 40
Answer:
x=20, y=17, and z=6 or (20,17,6)
Step-by-step explanation:
Hi there!
We're given the system of equations:
2x+z=46
3z=18
2y+z=40
and we need to solve for x, y, and z
first, let's find the value of z, as we have z by itself (no other variables) in 3z=18
divide both sides by z
z=6
the value of z is found :)
now we can use z=6 to find the value of the other variables; for example, plug z as 6 into 2x+z=46 to solve for x
2x+6=46
subtract 6 from both sides
2x=40
divide by 2
x=20
Finally, let's find y
once again, we can substitute z as 6 in the equation 2y+z=40 to find y
2y+6=40
subtract 6 from both sides
2y=34
divide by 2
y=17
so the answer is: x=20, y=17, and z=6; if you need it in a point it's (20,17,6)
Hope this helps! :)
Solve the proportion
[tex]y = \frac{28}{5} [/tex]
Answer:
[tex]y=5.6[/tex] or [tex]y=28/5[/tex]
Step-by-step explanation:
4/5 = y/7
⇒ Cross multiply:
4 × 7 = 5 × y
⇒ Multiply 4 × 7 & 5 × y:
[tex]28=5y[/tex]
⇒ Solve the formed equation:
[tex]28=5y[/tex]
⇒ Move all the terms containing y to the right side and the other values to the left side:
⇒ Add '-5y' to each side of the equation:
[tex]28+-5y=5y+-5y[/tex]
⇒ Combine like terms: [tex]5y+-5y=0[/tex]
[tex]28+-5y=0[/tex]
⇒ Add '-28' to each side of the equation:
[tex]28+-28+-5y=0+-28[/tex]
⇒ Combine like terms: [tex]28+-28=0[/tex]
[tex]0+-5y=0+-28[/tex]
[tex]-5y=0+-28[/tex]
⇒ Combine like terms: [tex]0+-28=-28[/tex]
[tex]-5y=-28[/tex]
⇒ Divide each side by '-5':
[tex]y=5.6[/tex] or [tex]y=28/5[/tex]
hope this helps :)
Point T is on
SU ST=20 and TU=8
what is SU?
the histogram shows the result of survey asking students how many windows are in their homes how mnay studengs have less than 10 windows. I will mark Brainly help
Answer:
4 students
Step-by-step explanation:
Although I am not sure if I am completely correct. I’ll try my best.
We know:
The numbers 0-12 on the frequency table is the number of windows.
The numbers on the bottom is the amount of students.
-
What we can see:
As we can see..
the 0-4 section in the table shows that only 0-4 students have 9 windows. The 5-9 sections shows that only 5-9 students have 10 windows.The 10-14 sections shows that 10-14 students have 0 windows.The 15-19 sections shows that 15-19 students have 4 windows.The 20-24 sections shows that 20-24 students have 2 windows.-
Calculations:
Since the number of students that have the amount of windows less than 10 is 4 (0-4 section) and 0 (10-14 section)
Add.
4+0
= 4
Therefore, 4 students have less than 10 windows.
Ignacio and Kirsten want to find out if the triangle formed by connecting (-1,-1). (-3,2), and (2, 1) is a right triangle Ignacio's plan: . Use the distance formula to find the lengths of the sides. • Then see if the side lengths satisfy the equation a2 + b2 = c2 to see if it is a right triangle Kirsten's plan: • Find the slopes of the three sides. • See if any two slopes are negative reciprocals of each other Which student's plan will work?
Answer:
Both plans are correct
Step-by-step explanation:
I already did it
1.5 in.
1.5 in.
8 inches tall
The tube of toothpaste shown costs $3.45. Estimate the price per cubic inch of toothpaste.
Answer:
per inch 0.90 cents hhhhhhjjkolllll
Harriet and Maya share £300 in the ratio of 7:5. Wirk out how much money harriet gets
Answer:
$175
Step-by-step explanation:
you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.
They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25
Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.
Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.
Area of base=
A)8 square units
B)6 square units
C)12 square units
Answer:
its 8
Step-by-step explanation:
4 times 2 is 8 and you cant get 6 or 12
Answer:
A
Step-by-step explanation:
Area of base = length x width = 4 * 2 = 8 square units
What is the least common denominator of the rational expressions below?
12
x2 - 11x +30
43
x² - 6x
A. x(x-5)
B. x(x-5)(x-6)
C. x(x - 5)(x-6)
D. (X-6)
Answer:
D. (x-6)
Step-by-step explanation: Just did it
I have more q if you get this right will Pay 5 everything is in the picture also leave your contact info.
Answer:
bottom right and the middle one from the left
Answer:
c
Step-by-step explanation:
help please asap!!!Working too please not just the answers
Answer:
62
Step-by-step explanation:
12+12+3+3+7+10+15
you just add all the sides
Find the volume of the composite solid below.
4 in.
4 in.
5 in.
5 in.
5 in.
Answer:
326.06 in^3
Step-by-step explanation:
Volume of the cylinder = [tex]\pi[/tex] · [tex]r^{2}[/tex] · h
Volume of the cylinder = [tex]\pi[/tex] · [tex]4^{2}[/tex] · 4
Volume of the cylinder = [tex]\pi[/tex] · 16 · 4
Volume of the cylinder = [tex]\pi[/tex] · 64
Volume of the cylinder = 201.06 in^3
Volume of the composite = length · width · height
Volume of the composite = 5 · 5 · 5
Volume of the composite = 125 in^3
201.06 + 125 = 326.06 in^3
Find the slope of a line thrcfugh the points (3, 2) and (11, 7). Round your
answer to 1 decimal place.
slope
Y2M
32-1
Work Shown:
m = (y2-y1)/(x2-x1)
m = (7-2)/(11-3)
m = 5/8
m = 0.625
m = 0.6
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Answer:
The car price decreased by $2,268.
The price of the car now is $33,732.
Step-by-step explanation:
Multiply 0.063 (6.3% in decimal form) by $36,000 to get $2,268, which is how much the price decreased.
Then subtract 2,268 from 36,000 to get $33,73, which is the price of the car after the decrease.
Answer:
Step-by-step explanation:
6.3 : 100 = x : 36000
x = (36000 * 6.3)/100 = $2268 (decrease in price)
Price of new model: 36000 - 2268 = $33732
