Answer:
Step-by-step explanation:
Small cone:
r = 4 mm
h = 8 mm
Volume of small cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]
[tex]=\frac{1}{3}*\pi *4*4*8\\\\=\frac{128}{3}*\pi \ mm^{3}[/tex]
Bigger cone :
r = 8 mm
h = 16 mm
Volume of bigger cone = [tex]\frac{1}{3}*\pi *8*8*16[/tex]
[tex]= \frac{1024}{3}\pi \ mm^{3}[/tex]
Volume of the space = Volume of bigger cone - volume of small cone
[tex]= \frac{1024}{3}\pi-\frac{128}{3} \pi \\\\=\frac{896}{3}*\pi \\\\= \frac{896}{3}*3.14\\\\= 937.81 \ cm^{3}[/tex]
which quadratic function has zeros of -4 and 7
Thank You! Hope it helps! Please mark me brainliest!
If A=(0,0) and B=(8,2), what is the length of AB
Answer:
[tex]\boxed{\sf Distance_{AB}= 8.24 \ units }[/tex]
Step-by-step explanation:
Here two points are given to us and we need to find the distance between the two points . The given points are , A(0,0) and B(8,2) . The distance between the two points can be found out using the Distance Formula , which is ,
Distance Formula:-
[tex]\sf\implies \green{ Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
Therefore on substituting the respective values ,we can find the Distance as ,
[tex]\sf\longrightarrow Distance = \sqrt{ ( 0 - 8)^2 + (0-2)^2} [/tex]
Simplify the brackets ,
[tex]\sf\longrightarrow Distance =\sqrt{ (-8)^2+(-2)^2}[/tex]
Square the numbers inside the squareroot ,
[tex]\sf\longrightarrow Distance =\sqrt{ 64 + 4} [/tex]
Add the numbers inside the squareroot ,
[tex]\sf\longrightarrow Distance = \sqrt{68} [/tex]
Find the value of squareroot,
[tex]\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}[/tex]
Hence the distance between the two points is 8.24 units .
what is the greatest common monomial factor?
Answer:
To find the greatest common factor of two monomials, first find the prime factorization of each monomial, including all the variables (and a – 1 factor if necessary). Then take the product of all common factors. First, find the prime factorization of each monomial. So, the GCF is 3p2r3 .
Step-by-step explanation:
4u + 10 =17
u = ?
help
Answer:
The answer is "1.75".
Step-by-step explanation:
Given:
[tex]\to 4u + 10 =17[/tex]
Find:
[tex]\to u = ?[/tex]
Solution:
[tex]\to 4u + 10 =17\\\\\to 4u = 17-10\\\\\to 4u = 7\\\\\to u = \frac{7}{4}\\\\\to u=1.75[/tex]
Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The
length of AB is 6.
Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](6)^{3}[/tex]
= [tex]\frac{88}{21}[/tex] x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
determine whether the following polygons are similar. if yes, type 'yes' in the similar box and type in the similarity statement and scale factor. if no, type 'none'
Similar: yes
Similarity Statement: AB ~ TQ , BC ~ QR
Scale Factor: 4/3
A laboratory tested n= 130 chicken eggs and found that the mean amount of cholesterol was 88 milligrams with -9 milligrams. Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content of all such eggs. Round your answer to the nearest tenth.
Answer:
The margin of error is of 1.5 milligrams.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Standard deviation of 9
This means that [tex]\sigma = 9[/tex]
Sample of 130
This means that [tex]n = 130[/tex]
Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content of all such eggs.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{9}{\sqrt{130}}[/tex]
[tex]M = 1.5[/tex]
The margin of error is of 1.5 milligrams.
help with #5 please!!!!!
Answer: Choice A
Explanation:
Notice how the numerators (2,4,6,8) are multiples of 2. So we can say that they are of the form 2k, where k is a whole number from 1 to 4.
If k = 1, then 2k = 2*1 = 2
If k = 2, then 2k = 2*2 = 4
and so on until we reach k = 4 and 2k = 8.
Similarly, the denominators are also multiples of 2. We shift things 1 spot to the right. So we start with 4 instead of 2. So we need to add on 2
If k = 1, then 2k+2 = 2*1+2 = 4
If k = 2, then 2k+2 = 2*2+2 = 6
and so on.
[tex]\displaystyle \sum_{k=1}^{4}\frac{2k}{2k+2} = \frac{2}{4}+\frac{4}{6}+\frac{6}{8}+\frac{8}{10}[/tex]
Peoples Bank offers 8% compounded continuously on CDs What amount invested now grow to 100,000 in 25 years Hint the continuous compounding formula
Given:
Rate of interest = 8% compounded continuously.
Amount = 100,000
Time = 25 years
To find:
The principal value.
Solution:
Formula for amount after continuous compound interest:
[tex]A=Pe^{rt}[/tex]
Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting [tex]A=100000, r=0.08, t=25[/tex] in the above formula, we get
[tex]100000=Pe^{0.08(25)}[/tex]
[tex]100000=Pe^{2}[/tex]
[tex]\dfrac{100000}{e^{2}}=P[/tex]
[tex]\dfrac{100000}{7.389056}=P[/tex]
On further simplification, we get
[tex]P\approx 13533.528[/tex]
Therefore, the amount 13533.528 is invested.
Need helppppp asapppppppppp
Answer: Choice A
x = 19, RZ = 49, and RT = 98
====================================================
How to get that answer:
Z is the midpoint of RT. This midpoint splits segment RT into two equal pieces RZ and ZT
RZ = ZT
4x-27 = 49
4x = 49+27
4x = 76
x = 76/4
x = 19
So far, we can see that the answer is either choice A or choice D.
------------------
If x = 19, then
RZ = 4x-27
RZ = 4*19-27
RZ = 76 - 27
RZ = 49
Which points us to Choice A as the final answer
-------------------
We could skip the second section entirely because we initially set RZ equal to ZT, and ZT was 49. However, I showed that section to help confirm that we had the correct x value.
Also,
RT = RZ + ZT
RT = 49 + 49
RT = 98
Which of the following represents the diameter of the circle below?
pls help ASAP
find the value of z when x = 216
Answer:
z = 3 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
z = [tex]\frac{k}{x^{1/3} }[/tex]
5 = [tex]\frac{k}{4}[/tex]
k= 20
~~~~~~~~~~~~~~~
z = [tex]\frac{20}{6}[/tex]
z = [tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]
Plz help!! I need it ASAP
Answer:
you save $500 for 7 years at 6% compounding continuously
what is the final value...
A = $500 [tex]e^{.06(7)}[/tex]
Step-by-step explanation:
Need help on this!!! 6 points!!!
Answer:
it appears to be FALSE....
f(g(x) = 3(13-2x) -7 = 39 - 6x - 7 = 32 - 6x
h(32-5x) = 6(32-6x)
= 192 - 36x
Step-by-step explanation:
how many marbles do you need to balance the scale? 6oz 2oz
HELP 10 points!!
Answer:
you need 4 oz. to get the even 6 oz.
I NEED THIS BADD BRAINLIEST I WILL GIVEE
Answer:
D
Step-by-step explanation:
He needs to buy 6 items
6 bags of chips
6*2.25= $13.5 so not possible
6 candy bars
6*1.5= $9 so possible
These statements knock out B and C because the dark gray needs to be able to include 6 on the y-axis to show that he could buy 6 candy bars leaving D and A. However, in D it shows that he could actually buy more than 6 candy bars and buy 8 which leaves him with 0 dollars left
8*1.5=$12
Answer:
Step-by-step explanation:
If BD bisects angle ABC, m angle DBC = 79° , and m angle ABC = (9x - 4)° , find the value of x.
Answer:
x = 18
Step-by-step explanation:
Since BD bisects ∠ ABC , then
∠ ABD = ∠ DBC = 79°
∠ ABC = ∠ ABD + ∠ DBC , that is
9x - 4 = 79 + 79 = 158 ( add 4 to both sides )
9x = 162 ( divide both sides by 9 )
x = 18
Solve for x.
10x – 79 = 2x + 49
x = [?]
Answer:
[tex]x = 16[/tex]
Step-by-step explanation:
Step 1: Add 79 to both sides
[tex]10x - 79 + 79 = 2x + 49 + 79[/tex]
[tex]10x = 2x + 128[/tex]
Step 2: Subtract 2x from both sides
[tex]10x - 2x = 2x - 2x + 128[/tex]
[tex]8x = 128[/tex]
Step 3: Divide 8 from both sides
[tex]\frac{8x}{8} = \frac{128}{8}[/tex]
[tex]x = 16[/tex]
Answer: [tex]x = 16[/tex]
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Step-by-step explanation:
x=16
please someone help me! A farmer builds a fence to enclose a rectangular pasture, he uses 160 feet of fence. Find the total area of the area pasture if it is 50 feet long.
Answer:
Area= 2000 feet^2
Step-by-step explanation:
Know how to find the perimeter and the area of a rectangle
area=length*width
perimeter= 2*length + 2*width
Draw a rectangle
The question states that the pasture is 50 feet long
So the length of the rectangle pasture should be 50. We can label the 2 lengths of the rectangle to be 50 feet long
Since the farmer only has 160 feet of fence, we can say that because the pasture is a rectangle, we can label the width as 40 because 2*50+2*40=160
Now that we know the length and width, we can find the area by multiplying those 2 values together to get 2000
Suggest a fundamentally and conceptually different way that is always under the control of the researcher of making the margin of error smaller.
Step-by-step explanation:
First, we may wonder, what does the term margin of error mean? Put simply, the margin of error is a measure of the degree to which research results do not reflect the views of the total studied population. In other words, it tells readers how much confidence they should have in the results presented.
It has often been suggested that a fundamentally and conceptually effective way that is always under the control of the researcher of making the margin of error smaller is to increase the sample size of the research. This basically involves collecting more sample data which thus leads to a closer estimate of the view of the entire population.
Please help pleaseeee
Answer:
32/33
Step-by-step explanation:
We first need to find out how many square yards are vacuumed every one minute.
Let's set up a chart:
yards minutes
8/11 --> 3/4
y --> 1
Here, y is the number of yards it takes to vacuum in one minute. Next, we can use cross-multiplication to find out y.
1. Multiply 1 by 8/11 to get... 8/11
2. Multiply 3/4 by y to get... 3/4y
3. Equate them: 8/11 = 3/4y
4. Divide both sides of the equation by 3/4 OR multiply both sides of the equation by 4/3 to isolate y, the variable
5. This gives us 32/33 = y
mr. Patel travelled from Delhi to Mumbai by road in his car. a). If he travelled in his car 770 km over 22 days, then how many kilometres did he travel in one day?b). A litre of petrol takes Mr Patel’s car a distance of 14 km. How many litres would he need to go 840 km?C). Mr Patel is carrying 326 boxes of sweets in the boot of his car. If each box contains 25 sweets, how many sweets are there in his car?
Answer:
a. 35 Kilometres.
b. 60 litres.
c. 8150 sweets.
Step-by-step explanation:
Given the following data;
Distance traveled = 770 kmNumber of days = 22 daysa. To find how many kilometres he traveled in one day;
770 km = 22 days
X km = 1 day
Cross-multiplying, we have;
22X = 770
X = 770/22
X = 35 Kilometres.
b. To find how many litres he would need to go 840 km;
1 litre = 14 kilometres
X litres = 840
Cross-multiplying, we have;
14X = 840
X = 840/14
X = 60 litres.
c. To find how many sweets are there in his car;
Number of sweet box, Ns = 326 boxes
Number of sweets in each box, Sw = 25 sweets
Total number of sweets = Ns * Sw
Total number of sweets = 326 * 25
Total number of sweets = 8150 sweets.
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Answer:
3/16
Step-by-step explanation:
-3*-1=3, 4*4=16
Answer:
3/16
Step-by-step explanation:
Multiply both the numerators (top number) and denominators (bottom numbers) together
-3 x -1 = 3....bc negative times negative always equals positive
4 x 4 = 16
Willing to give brainliest to the best answer! Please show your work! Need help with these 3 problems ASAP!
Answer:
5:05
6
10
Step-by-step explanation:
3:30 + 1 hour = 4:30
4:30 + 35 mins = 5:05 pm
5 days per 1 gallon, 30 days for :
30/5 = 6
500/50 = 10
A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in
slope-intercept form.
Answer:
y = -2x -3
Step-by-step explanation:
- the altitude trough F is a perpendicular line to the line DE
- find slope of line DE
D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)
slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2
-find equation of the altitude trough F
lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)
y= -2x +b , for point F(1, -5)
-5 = -2*1 +b, add 2 to both sides
-5 +2 = b, combine like terms
-3 =b
equation of the altitude trough F is y = -2x -3
a man eats one cake a day for a year. How many total cakes does he consume ??
Step-by-step explanation:
If it is a leap year =366
and if it is not a leap year=365
Answer:
365
Step-by-step explanation:
ANSWER CORRECTLY FOR BRAINLIEST!!!
ONLY:
8.
9.
10.
11.
Step-by-step explanation:
8 . 9 + 3x = 6
3x =6 - 9
3x = -3
x =. -1
9 . 9 (x - 1) - 4( 7 - x ) ≤ 10x - ( 2x +1 ) -6
9x -9 - 28 - 4x ≤ 10x - 2x + 1 - 6
C. L. T.
9x - 4x - 10x + 2x ≤ 1 - 6 + 28 + 9
- 3x ≥ 32
x ≥ - 32/3
x ≥ 10⅔
10 b/ 22 =. 16/ 88
cross multiply
88b = 352
b = 4
11. x- 10 / x+2 = 1/5
cross multiply
5x - 50 = x + 2
4x = 52
x = 13
Answer:
Step-by-step explanation:
Tyrell bought 6 video games this summer. Each game cost 27 dollars. If Tyrell had 379 dollars left after he bought the video games, how much money did he start with?
Taking into account the total amount of money spent on the games and the money that Tyrell had left after he bought the video games, Tyrell started with $541.
Total amount of moneyFirst you must know the total amount of money spent on the games. For that Tyrell bought 6 video games this summer and each game cost 27 dollars.
So to calculate the amount spent, the number of games purchased must be multiplied by the price of each one:
6 video games* 27 dollars each game= 162 dollars
So Tyrell spends 162 dollars.
Money left over after buying the video games.On the other hand, you know that Tyrell had 379 dollars left after he bought the video games.
This indicates that after spending $ 162 on video games, there were $ 379 left over.
Money he started with.To know the amount of money that Tyrell had, you must add the amount spent on games and the money that was left over:
162 dollars + 379 dollars= 541 dollars
So, Tyrell started with $541.
Learn more with this similar examples:
https://brainly.com/question/11757690?referrer=searchResultshttps://brainly.com/question/10823368?referrer=searchResultsTyrell started with 541 $
There are two actions in the question.
First Tyrell bought 6 video games, each game cost 27 $.
Spent
According to that Tyrell spent
6 * 27 = 162 $
Keeps
The second fact is that after shopping Tyrell keeps 379 $.
If Tyrell spent 162 $ and still keeps 379 $, that means that the total amount of money Tyrell had is the sum of the money he spent plus the money he has
Now if we call "x" the quantity of money Tyrrel started with: Then
x = the money Tyrell spent on video games plus the remaining 379 $
Then
x = 162 + 379
x = 541 $
what is the answer to this question having trouble answering it
Answer:
9
Step-by-step explanation:
KL + KJ = 17
2 + 3x + 5x - 1 = 17 add like terms
8x + 1 = 17 subtract 1 from both sides
8x = 16 divide both sides by 8
x = 2
KL = 5x - 1 replace x with 2
5*2 - 1 = 9
If ABC ~ AMN and am=6, mb=4 an= 8 then what is the value of nc