radius= 8 m
to find:the volume of the sphere
solution:[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{4}{3} \times \pi \times {8}^{3} [/tex]
[tex]v = 2144.66058 \: {m}^{3} [/tex]
[tex]v = 2144.7 \: {m}^{3} [/tex]
therefore, the volume of the given sphere is 2144.7 cubic meters.
[tex]\large\boxed{Formula: V= \frac{4}{3}\pi {r}^{3}}[/tex]
In this question the radius is given so we'll simply have to substitute the values and solve.
Let's solve!
Substitute the values according to the formula.
[tex]V= \frac{4}{3}\times\pi\times{8}^{3}[/tex]
Calculator value:
[tex]V= 2144.660585 \: {m}^{3}[/tex]
Now, we'll have to round off to the nearest tenth.
The value in hundredths place is greater than 5 so, we will have to round up which means, we'll have to add 1 to the tenths place.
Final answer:
[tex]\large\boxed{V= 2144.7 \: {m}^{3}}[/tex]
Hence, the volume of the given sphere is 2144.7 cubic meters.
rose is making trail mix bags for her hiking club. she will use 20 ounces of walnuts, 11.1 ounces of almonds, and 15.4 ounces of cashews. this amount makes 25 bags of trail mix. how many ounces are in each bag? (please have explanation and answer)
Answer: 1.86 oz. per bag
Step-by-step explanation: First we add the amount of ounces from each ingredient. 20+11.1+15.4 = 46.5
Then we divide by 25 to find out how many ounces per bag. 46.5/25=1.86
Answer:
2.15 ounces
Step-by-step explanation:
The total ounces of nuts in the bag is calculated as:
20 ounces of walnuts + 11.1 ounces of almonds + 24.8 ounces of cashews = 55.9 ounces.
From the question we are told that these amounts make 26 bags.
The number of ounces that are in each bag is calculated as:
26 bags = 55.9 ounces
1 bag = x ounces
Cross Multiply
26 bags × x ounces = 1 bag × 55.9 ounces
x ounces = 1 bag × 55.9 ounces/26 bags
x ounces = 2.15 ounces
Therefore, there are 1.94 ounces in each bag
if g (x) = 3x²-4, then find g (-3)
Answer:
g(-3) = 23
Step-by-step explanation:
This question is telling us that x = -3. Knowing this, we can plug x into the equation and solve to find g(-3).
[tex]g(-3) = 3(-3)^{2} -4[/tex]
[tex]g(-3) =3(9)-4[/tex] Square -3 to get 9
[tex]g(-3) = 27-4[/tex] Multiply 9 by 3 to get 27
[tex]g(-3) = 23[/tex] Subtract 4 from 27 to get 23
Thus, g(-3) is equal to 23.
I hope this helps! Good luck!
The mean length of 7 childrens' index finger is 9.4cm. The mean length of 5 adults' index finger is 10.2cm. What is the mean length (rounded to 2 DP) of these 12 people's index finger?
Answer:
9.73 cm to 2 DP
Step-by-step explanation:
Total of the lengths involved = 7*9.4 + 5*10.2
= 116.8 cm
So the mean of the 12 fingers
= 116.8/12
= 9.73 cm to 2 DP.
I need help with this
Answer:
a. 0.444444
b. 0.87
Step-by-step explanation:
a. (-2).(-4.5)
= -2 / -4.5
= 0.44444
u will do the same to the second question
GIVING BRAINLIEST!!!!!
flip over the line, then slide up
Show how to write 3/4 with the denominator 12
Which expression is equivalent to the one that is modeled?
Answer:
What are the equivalent expressions?
Two expressions are said to be equivalent if they have the same value regardless of the value of the variable(s) in them.
Step-by-step explanation:
Simpifly : -5/6-7/-8+11/12–1/6+0- -7/16
Answer:
the chosen topic is not meant for use with this typ of problem try the examples below
Step-by-step explanation:
In the figure below, the segments WX and W Y are tangent to the circle centered at 0. Given that OX= 4 and OW = 8.5, find WY.
Answer:
7.5
Step-by-step explanation:
because OY is a radius like OX they will have equal length of 4 so OY = 4
Because of the circle theorem that says that tangents meet the the radius of a circle at 90 degrees, angle OYW is 90 degrees so the triangle OYW is a right angle triangle and we can use pythagoras theorem to get WY as:
[tex]8.5^{2} - 4^{2} = WY^{2} \\\sqrt{WY^{2}}=WY=7.5[/tex]
What ordered pair is a solution to
{2y=4x-10}
{-y=4x-1}
At Super Shopper a 1-litre bottle of cola costs £0.85.
At Rex Retail a 1.5-litre bottle costs £1.30.
At which shop is cola better value for money?
Answer:
super shopper
Step-by-step explanation:
o.85/2=0.425
0.425*3=1.275
(rounding) 0.46. whats the nearest tenth?
Answer:
0.5
Step-by-step explanation:
4 is in the tenths place and 6 is in the hundredths place
Since the digit in the hundredths place (6) is greater than or equal to 5, add 1 to the digit in the tenths place (4)
1 + 4 = 5, so the digit in the tenths place becomes 5
The digit in the hundredths place is dropped
0.46 rounded to the nearest tenth (one decimal place) = 0.5
PLSSS HELPPPPP with b !!!
Step-by-step explanation:
your a. is wrong.
so, we need to do both.
a.
you did not really read carefully. DE = 4x and not 4.
DE = 4x does not mean x = 4. absolutely not.
so, you cannot just use x=4 in the first triangle.
but you are right, AB and DE correlate between the 2 congruent triangles.
therefore
3x + 6 = 4x
6 = x
so, AB = 3x + 6 = 3×6 + 6 = 18 + 6 = 24 ft
b.
congruent means that the sides and the angles are the same between the 2 triangles.
so,
6y + 12 = 8y + 2
12 = 2y + 2
10 = 2y
y = 5
so, the angle EDF is
8y + 2 = 8×5 + 2 = 40 + 2 = 42°
choose the polynomial that is written in standard form
Answer: I don't know
Step-by-step explanation:
There are no choices. The question stated choose the polynomial which means it should have choices.
Correct me if I'm wrong though. Hope you won't be offended.
Answer:
Please read explanation... it always helps... trust me...
Step-by-step explanation:
alrighty sooo....
when a polynomial is written in standard form that means that the exponents are in order from greatest to least.... (i hope that isn't confusing....)
here is an example:
x^6 + x^5 + x^2 + 23 --> this polynomial is in standard form because the exponents are in order from least to greatest..... 6 then 5 then 2 then 1
(remember that a number like 23 have an invisible 1 as the exponent....
(btw, this symbol ^ means "to the power of")
I really hope this helps!!!!
The probability distribution shows the results of a survey of people's fear of flying on an airplane. find the probability that a person who is afraid of flying has never flown before. round to the nearest thousandth.
Answer:
0.070
Step-by-step explanation:
Bc I know how to do math
What is the solution to the following
equation?
7x - 20 = -41
-
a). X=-3
b). X=3
Answer:
A). X = -3
Step-by-step explanation:
Step 1: Add 20 to both sides.
[tex]7x-20+20=-41+20[/tex] [tex]7x=-21[/tex]Step 2: Divide both sides by 7.
[tex]7x/7 = -21/7\\[/tex] [tex]x=-3[/tex]Step 3: Check if solution is correct.
[tex]7(-3)-20=-41[/tex] [tex]-21-20=-41[/tex] [tex]-41=-41[/tex]what is the diffrence between -25 and -12
help ME solve please
Find the probability of each event.
A fair coin is flipped ten times. What is
the probability of the coin landing tails up
at least nine times?
Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
The coin is fair, hence p = 0.5.The coin is tossed 10 times, hence n = 10.The probability that is lands tails up at least nine times is given by:
[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098[/tex]
[tex]P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001[/tex]
Hence:
[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108[/tex]
0.0108 = 1.08% probability of the coin landing tails up at least nine times.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
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A store sells cooking oil of two different brands in bottles of the same size. The table below and the equation each show the price (y), in dollars, of different number of bottles of oil (x):
Brand A
Number of Bottles, x Price (dollars), y
2
22
3
33
4
44
5
55
Brand B
y = 17x
How many dollars more is the price of 8 bottles of brand B oil than the price of 8 bottles of brand A oil?
$5
$6
$28
$48
Answer:
$48
Step-by-step explanation:
The number of dollars more is the price of 8 bottles of Brand B than the price of 8 bottles of Brand A oil is:
$ 48
Step-by-step explanation:
Brand A--
Number of bottles (x) Price (dollars) y
2 22
3 33
4 44
5 55
The function that represents the relation between the price of the bottles and the number of bottles is:
y=11x
Brand B--
Also, the price of the bottles depending on the number of bottles is:
Y=17x
According to Brand A the price of 8 bottles is: y=11×8=$ 88
and according to Brand B the price of 8 bottles is: y=17×8= $ 136
Also, the difference in the price of Brand B to that of Brand A for 8 bottles is:
$ 136-$ 88
= $ 48
this is worth 40 points so pls help! I need this ASAP.
I also need COMPLETE solution
Answer:
Shown below.
Step-by-step explanation:
Test Marks Tally Frequency Percentage
1 8 8/60 = 0.133
2 6 6/60 = 0.100
3 5 5/60 = 0.083
4 5 5/60 = 0.083
5 5 5/60 = 0.083
6 8 8/60 = 0.133
7 6 6/60 = 0.100
8 7 7/60 = 0.116
9 4 4/60 = 0.066
10 5 5/60 = 0.083
Total 59 59/60 = 0.983
For the Tally section, I believe you just fill in tally marks corresponding to the frequency. One of the observations in the table is 0, which is not a column in the frequency table.
What is the measure (in radians) of central angle in the circle below?
15 cm,
3 cm
0
radians
Answer:
∅ = 5 radians
Step-by-step explanation:
[tex]Arc.Length=2\pi r(\frac{Ctrl.Angle}{360} )[/tex]
[tex]Ctrl.Angle=\frac{360(Arc.length)}{2\pi r}[/tex]
∅ [tex]=\frac{(360)(15)}{2\pi (3)}[/tex]
∅ = 286.48°
In radians:
∅ = (286.48)(3.1416)/180 = 5 radians
Hope this helps
The number 22 is multiplied by a 22-digit number that contains only "2"s. What is the
sum of the digits of the product?
Answer:
I don't know it is actually pretty hard! But is this part of the rsm mcp contest
Step-by-step explanation:
The sum of digits of the products is given by S = 176
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The number 22 multiplied by a 22-digit number that contains only "2"s would result in a number that consists of a string of "4"s.
This is because 2 multiplied by 2 results in 4. Since all the digits in the 22-digit number are "2"s, each digit would multiply by 2 and result in "4".
Therefore, the product of 22 multiplied by a 22-digit number that contains only "2"s would be a 44-digit number consisting of "4"s.
The sum of the digits of a 44-digit number consisting of only "4"s can be calculated by multiplying the digit "4" by the total number of digits, which in this case is 44.
Sum of digits = 4 × 44 = 176
Hence , the sum of the digits of the product would be 176
To learn more about equations click :
https://brainly.com/question/19297665
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wat is 2+2? im doing this to give you an extra 2 points!
Answer:
oh oh....I know...it's 4....I'm I right
Answer:
4
Step-by-step explanation:
Thanks btw
Let's pretend the [] are boxes.
[] this is one box.
[] [] these are 2 boxes, which is 2
if you put 2 plus 2,
[] [] + [] []
count them, you get 4
Hooray!
If you dunno how to count, you just see each of the boxes, then count up
1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. when you stop seeing the boxes, stop counting - the number you're on is the answer to your + question!
what’s the circumference, to this problem ?
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex] but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this [tex]C=d*\pi[/tex].
We can then input the value and we get that [tex]C=5*\pi[/tex] which then just narrows down to [tex]C=15.708[/tex].
Hope this helps! Let me know if you have any questions
the dustance between -100 and 0
Answer:
100
Step-by-step explanation:
-100 is always going to be 100 units away from 0 no mater what
Group the terms with variables on one side of the equal sign, and simplify.
8t −15 = 32t
Answer:
[tex] \implies \boxed{\rm t = \frac{ - 5}{8} }[/tex]
Step-by-step explanation:
8t-15=32t
Group the terms then subtract:
=>8t-32t=15
=>-24t=15
Divide both sides by -24:
[tex] \implies \rm \cfrac{ - 24t}{ - 24} = \cfrac{15}{ - 24} [/tex]
[tex] \rm \implies \: t = \cfrac{ - 5}{8} [/tex]
Help pleaseEEEEEEEEE i need it badlyyyy
volume: volume of cone is 1/3πr^2h
radius is 2
height is 6
plug into equation: 1/3π(2)^2*6=about 2.55 or 8π
surface area: surface area of cone is πrs+πr^2 where s is slant height.
to find slant height use pythagorean theorem: √(2^2+6^2)=√40
radius: 2
height:6
slant height: √40
plug into equation: π(2)(√40)+π(2^2)=about 52.30 or 4√10π+4π
VARIABLE EXPRESSIONS
Complete. Replace ? with +, -,×, or ÷ .
1.) 3y means 3 ? y.
Geometry
7&8&9. Find the value of x.
Answer:
Step-by-step explanation:
