Answer:[tex]\frac{1}{64}^{th}[/tex]
Step-by-step explanation:
Given
Suppose V is the original volume of cone having r as radius and h as height
If we multiply all the linear dimensions of ac one by [tex]\frac{1}{4}^{th}[/tex]
the [tex]r'=\frac{r}{4}[/tex]
[tex]h'=\frac{h}{4}[/tex]
Therefore new volume is
[tex]V'=\frac{1}{3}\pi r'^2h'[/tex]
[tex]V'=\frac{1}{3}\pi (\frac{r}{4})^2(\frac{h}{4})[/tex]
[tex]V'=\frac{1}{64}\times \frac{1}{3}\pi r^2h[/tex]
[tex]V'=\frac{V}{64}[/tex]
So new volume becomes [tex]\frac{1}{64}^{th}[/tex] of the original one
Round 69.65 to the nearest whole number.
A) 69
B) 69.7
C) 70
D) 70.6
Answer:
70
Step-by-step explanation:
69.65
We look at the tenths place to determine if we round up or leave it alone
.6 is greater then or equal to five so we need to round the 9 up
69.65 rounds to 70
Answer:
C
Step-by-step explanation:
Rounding 69.65 to the whole number would be 70
Write 4x^4 + x^6 - 3+ 6x^8 in standard form.
Answer:
6x^8 + x^6 + 4x^4 + 0x^2 - 3
Step-by-step explanation:
Rewrite this in descending order by powers of x:
6x^8 + x^6 + 4x^4 + 0x^2 - 3x^0
or
6x^8 + x^6 + 4x^4 + 0x^2 - 3
Joe is looking for a new laptop case. His computer is 18 x 13.5 inches. What is the perimeter and area of the laptop case?
Perimeter:
Area:
Answer:
Perimeter =63 inches
Area = 243in²
Step-by-step explanation:
Given data
Length of computer = 18in
Width of computer = 13.5in
From the given data the computer has a rectangular shape
Perimeter of the computer = L+L+W+W= 2L+2W
Perimeter = 2(18)+ 2(13.5)
Perimeter = 36+27=63 inches
Area of rectangular shape = L*W
Area = 18 x 13.5= 243in²
Answer:
Perimeter: 63 inches
Area : 243 square inches
Step-by-step explanation:
Hi, to answer this question w eave to apply the next formulas:
Perimeter of a rectangle: (2 x width) + (2 x length )
Area of a rectangle: width x length
Replacing with the values given:
Perimeter: 2(18) +2(13.5) = 36+27 = 63 inches
Area = 18 x 13.5 = 243 square inches
Feel free to ask for more if needed or if you did not understand something.
find the value of x in the following..... 3^x = 8
Answer:
x ≈ 1.893 ( to 3 dec. places )
Step-by-step explanation:
Using the rule of logarithms
log [tex]x^{n}[/tex] = n logx
Given
[tex]3^{x}[/tex] = 8 ( take the log of both sides )
log[tex]3^{x}[/tex] = log8, that is
xlog3 = log8 ( divide both sides by log3 )
x = [tex]\frac{log8}{log3}[/tex] ≈ 1.893
What is the value for x when solving the equation –x + (–1) = 3x + (–5) using alegbra tiles?
Answer:
x=1
Step-by-step explanation:
just use this app called photomath its free on apple and gives you answers.
Answer: x = 1
Step-by-step explanation:
–x + (–1) = 3x + (–5)
−x−1−3x=3x−5−3x
−4x−1=−5
Add 1 to both sides.
−4x−1+1=−5+1
−4x=−4
Divide both sides by -4.
x = 1
Hope this helps :)
You have $1000 to invest in an account and need to have $2000 in one year. What interest rate would you need to have in order to have this if the amount is compounded weekly? Round your answer to the nearest percent.
Answer:
69.8%
Step-by-step explanation:
The weekly interest rate is computed using 52 weeks a year as per standard investment practice.
FV=PV*(1+r/52)^n*52
FV is the future value of $2000
PV is the present worth of $1,000
r is the unknown
n is the number of years which is 1
2000=1000*(1+r/52)^1*52
divide both sides by 1000
2000/1000=(1+r/52)^52
divide the index of the both sides by 52
(2000/1000)^(1/52)=1+r/52
1.013418991 =1+r/52
r/52=1.013418991 -1
r/52=0.013418991
r=0.013418991 *52=69.8%
Answer:
4%
Step-by-step explanation:
not really sure if thats right but i hopes it helps
What is the equation of a line that is parallel to (1/2)y + x = 4 that passes through the point (0,14)?
Answer:
i cant answer that i'm only in 8th
PLS HELP ME
M^2- 7m+1 ?
Answer:
Step-by-step explanation:
factorize the given equation like this
m^2-7m+1
m^2-2m+1-5m
(m-1)^2-([tex]\sqrt{5m}[/tex])^2
(m-1+[tex]\sqrt{5m}[/tex])(m-1-[tex]\sqrt{5m}[/tex])
4,250,000 written in word form
Answer: four million two hundred fifty thousand.
Step-by-step explanation:
Hey i had previously if -20.33 was rational or irrational , i didn’t get an answer could someone please let me know ?
Answer:
Yes
Step-by-step explanation:
-20.33 is rational. It has a terminating decimal.
Terminating and repeating decimals are rational. Decimals that are never ending and does not have a repeating pattern of decimals are irrational.
-20.33 = [tex]-20\frac{33}{100}[/tex]
can someone help? 25 points
Answer:
Triangle A: acute
Triangle B: acute
Triangle C: obtuse
Triangle D: right
Step-by-step explanation:
acute= less than 90 degrees each angle
obtuse=more than 90 degrees for one angle
right=equal exactly 90 degrees for one angle
Answer:
A=Acute
B. Acute
C.Obtuse
D.Right
Step-by-step explanation:
a,and b, and are acute becuase there angles are less than 90 degrees.
d is obtuse beucase the angleismore than 90 degrees
D is right beucase the angle is 90 degrees and it hasthat square in the corner.
a rectangle has an area of 24m². its length is 5m longer than the width.
write an expression for the rectangle's length
Answer:
2x+2(x+5)) = 24
Step-by-step explanation:
2x+ 2(x+5) = 24
x is represented by the shorter side. Multiply by 2 because of the 2 sides. For the longer side, since it is 5m longer than the shorter side, you have to write (x+5). Multiply by 2 because of the 2 sides. Finally, add them both together since it is the area and set it equal to 24.
A box is laid on its side and the white label wrapped around the box covers 30% of the lateral surface area of the box. Find the length x of the box.
Answer:
6
Step-by-step explanation:
Can someone help me on this?
Answer:
B
Step-by-step explanation:
asdddddddddddddddddddddddddddddddsdasdasdasdasdas
Answer:
b
Step-by-step explanation:
Math isnt my strong suit..
Answer:
See explanation below.
Step-by-step explanation:
First, read this explanation of how to understand probability numbers.
A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.
A probability of 0 means the event will not happen. It is an impossibility.
A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.
A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.
A probability of between 0 and 0.5 is more likely not to happen than to happen.
A probability of between 0.5 and 1 is more likely to happen than to not happen.
Now let's look at each one of the probabilities in your problem.
1. 1/4
1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.
1. b. Unlikely
2. 0.0
0.0 will definitely not happen.
2. e. Impossible
3. 0.50
0.50 can just as easily happen or not happen.
3. d. Equally Likely
4. 100%
100% is the same as 1. A probability of 1 means an event that is certain to happen.
4. a. Certain
5. 75/100
75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.
5. c. Likely
What is the surface area of the square pyramid?
Answer:
D
Step-by-step explanation:
The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:
[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]
[tex]5625+150\cdot \sqrt{9506.25}=[/tex]
[tex]5625+14625=[/tex]
[tex]20,250[/tex] square yards, or answer choice D.
Hope this helps!
Which equation represents the given statement "Eight times a number minus 2 equals 33
more than the number." *
Answer:
8N-2=33+N
Step-by-step explanation:
Find the area
Please help me thank you!
Tennis great Roger Federer made 63% of his first serves in a recent season. When Federer made his first serve, he won 78% of the points. When Federer missed his first serve and had to serve again, he won only 57% of the points. Suppose you randomly choose a point on which Federer served. You get distracted before seeing his first serve but look up in time to see Federer win the point. What's the probability that he missed his first serve?
Sounds like a Bayes Theorem problem.
Events:
F: Roger makes his first serve. We'll write ~F for "not F".
P(F) = .63
P(~F) = 1 - .63 = .37
W: Roger wins the point. We don't know P(W) but we are given
P(W | F) = .78
P(W | ~F) = .57
We're asked for
P(~F | W)
The basic conditional probability theorem is
P(~F and W) = P(~F | W) P(W) = P(W | ~F) P(~F)
P(~F | W) = ( P(W | ~F) P(~F) ) / P(W)
We write
P(W) = P(W | F) P(F) + P(W | ~F) P(~F)
Substituting gives Bayes' Theorem:
P(~F | W) = ( P(W | ~F) P(~F) ) / ( P(W | F) P(F) + P(W | ~F) P(~F) )
We know all the parts so we substitute,
P(~F|W) = ( .57(.37) ) / (.78(.63) + .57(.37) ) = 0.30029901751388294
Let's call that 30%
Answer: 30%
Answer:
0.3
Step-by-step explanation:
We need to reverse this because we only know the outcome. P(A|B) = P(B|A) * P(A) / P(B), so P(B|A) is B given that A happens, P(A) in this case is the probability that he missed the first serve. P(B) is the probability of winning the point. P(B) = P(B|A') * P(A') + P(B|A) * P(A), which means P(B) is the probability of the point scored given that the serve was made multiplied by the probability of the serve being made plus the probability of B given that serve is missed multiplied by the probability that the serve is missed. This is 57% * 37% + 78% * 63%=0.21+0.49=0.7. So P(B)=0.7. P(B|A)*P(A)/P(B) would be 57% * 37% / 70% = 0.3. The probability that Federer missed his first serve given that he scored the point is 0.3.
Maria está en el piso 6 y quiere ir al sótano 2. Cuantos pisos bajará?
Answer: 8
Step-by-step explanation:
Ella tiene que bajar los 6 pisos, mas 2.
6+2=8
The space shuttle's external tank was a component of the space shuttle's launch vehicle that carried the fuel during launch. The tank is cylindrical in shape, having a diameter of 8.4 metres and is 46.9 metres in length. A)How much fuel would the tank hold? B)The tank takes 8.5 minutes to be emptied during launch. At what rate is the fuel being used?
Answer:
a. The tank would hold a 2,600.136 m^3 or 2,600,136 liters of fuel
b. The rate at which the fuel is being used is 305,898.35 liters of fuel per minute
Step-by-step explanation:
a. Since the tank is cylindrical in shape, we can mathematically calculate the volume of the cylinder so as to know the amount of fuel it will hold.
Mathematically, the volume of a cylinder;
V = π * r^2 * h
where r is the radius which is the diameter divided by 2 = 8.4/2 = 4.2 meters in this case
h is the length here(in place of the conventional height) = 46.9 meters
π = 22/7
Plugging these values into the equation, we have;
V = 22/7 * 4.2^2 * 46.9 = 2,600.136 m^3 of fuel
Since 1 m^3 = 1000 liters
then 2,600.136 m^3 = 2,600.136 * 1000 = 2,600,136 liters( liters is a more comfortable unit when talking about liquids such as fuel)
b. Now we want to know the rate at which the fuel is used
What we need here is to just divide the volume of fuel used by the number of minutes it took the tank to be emptied
That would be = 2,600,136/8.5 = 305,898.35 liters/minute
You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number.
help and thanks!!
Answer:
1/6
Step-by-step explanation:
If you're asking for the probability that the coin is heads and the die is even. Hope this helps :)
1/3*1/2= 1/6
Answer:
The answer is 1/6
Step-by-step explanation:
This is because the dice has 6 sides so the possibility of getting a even is 1/6
a. 9
b. 10
c. 16
d. 17
what is absolute diviation
It’s the average distance between each data value and the mean.
Answer:
one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD
Step-by-step explanation:
Which expression has the same value as 5(4x+4)
Answer: 20x + 20
Step-by-step explanation: In this problem, the 5 "distributes" through the parentheses, multiplying by each of the terms inside.
So we have 5(4x) + 5(4) which simplifies to 20x + 20.
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?
–4
8
12
24
Answer:
8
Step-by-step explanation:
0 = –x^2 + 4x – 2
This is of the form
ax^2 +bx +c
a = -1 b = 4 x = -2
The discriminant is
b^2 -4ac
4^2 - 4(-1)(-2)
16 - 8
8
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years
Step-by-step explanation:
i = prt
i = ($61,000)(.14)(2)
i = $17,080
$78,080
Answer:
$78080
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 61000 × 14/100 × 2
I = $17080
She have = 61000 + 17080 = $78080
In the diagram, the lines dividing the parking spaces are parallel. What must be true about <1 and <2? What theorem supports your conclusion?
Answer:
Option B.
Step-by-step explanation:
Given question is incomplete; find the question in the attachment.
Given figure shows the parking spaces are divided by the parallel lines.
Here the two lines having ∠1 and ∠2 are parallel and a transverse is intersecting these lines.
By alternate interior angles theorem, ∠1 and ∠2 will be equal in measure.
Therefore, Option B. will be the answer.
NEED HELP! ASAP PLEASE!
Answer:
(0,-41)
Step-by-step explanation:
You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!
The value of a car is $30.000and depreciates at a rate of 6.5% each year.
What will the value of the car be after 5 years?
find interest and subtract it from 30,000