Solution :
Given that :
Height of the cylinder, h = 21 cm
Diameter of the cylinder, d = 7 cm
Radius = 3.5 cm
Number of balls fits in the cylindrical container = 3
a). The volume of the container is given by
[tex]$V = \pi r^2 h$[/tex]
= 3.14 x 3.5 x 3.5 x 21
= 807.76 cm cube
b). Volume of each tennis ball is given by :
[tex]$V=\frac{4}{3}\pi r^3 $[/tex]
[tex]$V=\frac{4}{3}\times 3.14 \times (3.5)^3 $[/tex]
= 179.50 cm cube
c). Volume of three tennis balls = 3 x 179.50
= 538.50 cm cube
Therefore, percentage of the container taken up by the three tennis ball is :
[tex]$=\frac{807.76 - 538.50}{538.50} \times 100$[/tex]
= 50 %
The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Write an expression to represent how many trees will be left in 10 years. Then, evaluate the expression.
The number of the trees that will be left after 10 years will be 2.3 billions.
What is the percent decrease?A rate of change is negative when the output decreases as the input increases or when the output increases as the input decreases.
Given that, the number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees.
The expression will be:
A = P(1-r)ⁿ
A = final amount
P = initial amount
r = rate
n = time
Therefore,
A = 2500000000(1-00.5)¹⁰
A = 2500000000(0.995)¹⁰
A = 2300000000
Hence, the number of the trees that will be left after 10 years will be 2.3 billions.
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Please help me if u know
Answers
x= -3/2
x= 3i
x= -3i
Step-by-step explanation:
f (x) = 2x3 + 3x2 + 18x + 27
Set 2x^3 + 3x^2 + 18x + 27 equal to 0.
2x^3 + 3x^2 + 18x + 27 = 0
Solve for x.
Factor the left side of the equation.
Factor out the greatest common factor from each group.
x^2 (2x + 3) + 9 (2x + 3) = 0
Factor the polynomial by factoring out the greatest common factor, 2x + 3. (2x + 3) (x^2 + 9) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x + 3 = 0
x^2 + 9 = 0
Set 2x + 3 equal to 0 and solve for x.
Set 2x + 3 equal to 0. 2x + 3 = 0
Solve 2x + 3 = 0 for x. Tap for more steps...
3 x = − 2
Set x2 + 9 equal to 0 and solve for x.
Set x2 + 9 equal to 0. x2 + 9 = 0
Solve x2 + 9 = 0 for x.
x = 3i, −3i
The final solution is all the values that make (2x + 3) (x2 + 9) = 0 true.
x = − 3/2 , 3i, −3i
Pierce swims 10 laps in a pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?
Answer:
48 sec.
Step-by-step explanation:
8 devided by 10.
Answer:
48 seconds
Step-by-step explanation:
8 min / 10 laps = 0.8 mins
to convert minutes into seconds, multiply by 60
0.8*60 = 48 seconds
Please help! Evaluate xyz if x= 2.
y=-5, and z=-9
Answer:
90
Step-by-step explanation:
Just multiply what the variables equal to
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}} }: [/tex]
x = 2 , y = -5 & z = -9[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of xyz[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
Plug the values of x , y & z in the given expression and then multiply !
⇾ [tex] \tt{2 \times ( - 5) \times ( - 9)}[/tex]
⇾ [tex] \tt{( - 10) \times ( - 9)}[/tex]
⇾ [tex] \tt{90}[/tex]
[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{ \tt{ 90}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
What is the value of the expression below?
11–8+4 - 13-911
A
-18
B. -2
O
C. 0
D.
2
O
E.
18
Answer:
B.
Step-by-step explanation:
Solve this equation for a:
–5 + 4a = 27
Answer:
a=8
Step-by-step explanation:
solve for a by adding 5 on both sides
4a=32
Now divid 4 on both sides
a=8
12. Which of the relations below is a function?
A. {(1, 1,), (2, 1), (3, 1), (4, 1), (5, 1)}
B. {(3, 1), (2, 2), (3, 3), (2, 4), (2,5)}
C. {(2, 1), (2, 2), (2, 3), (2, 4), (2,5)}
D. {(1, 1), (2, 2), (2, 3), (2, 4), (1,5)}
Answer:
A
Step-by-step explanation:
a function may not have the same values of X.
A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of XXX along with summary statistics:
Small Medium Large
X= Profit($) 4 8 12
P(X) 0.18 0.50 0.32
Mean μx= $8.56
Standard Deviation σx ≈ 2.77
The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?
Answer:
μy = $6.56 ; σy = 2.77
Step-by-step explanation:
Given the data :
Mean μx= $8.56
Standard Deviation σx ≈ 2.77
Profit, Y on pizza with current promo :
Price off on pizza = $2
Y = x - 2
μx = E(x) = $8.56
μy = μ(x - 2)
μy = μx - $2
μy = $8.56 - $2
μy = $6.56
For the standard deviation of y
σx ≈ 2.77
σy = σ(x - 2)
σy = σx - 2
Constants are treated as 0 for standard deviation
σy = 2.77
35 points! Will mark Brainliest! Real answers only!
Answer:
Ty for the free poiunts!
Step-by-step explanation:
You got the answer right LLO
Answer:
Yea the answer is right
Step-by-step explanation:
Question 3
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>
A friend has a 81% average before the final exam for a course. That score includes everything but
the final, which counts for 30% of the course grade.
What is the best course grade your friend cah earn?
%
What is the minimum score would your friend would need on the final to earn a 75% for the course?
%
Give answers accurate to at least one decimal place.
Question Help: D Video Message instructor
Submit Question
Answer:
The best course grade your friend can earn is 0.867 = 86.7%.
The minimum score would your friend would need on the final to earn a 75% for the course is of 0.61 = 61%.
Step-by-step explanation:
This is a weighed average problem, in which we multiply each grade by its weight.
We have that:
In 70% of the course, the friend has a grade of 81%.
In the other 30%, he will have x.
What is the best course grade your friend can earn?
This will happen if he earns 100% = 1 on the final test. So
[tex]G = 0.7*0.81 + 0.3*1 = 0.867[/tex]
The best course grade your friend can earn is 0.867 = 86.7%.
What is the minimum score would your friend would need on the final to earn a 75% for the course?
This is x, when the grade is 0.75. So
[tex]0.75 = 0.7*0.81 + 0.3x[/tex]
[tex]0.3x = 0.75 - 0.7*0.81[/tex]
[tex]x = \frac{(0.75 - 0.7*0.81)}{0.3}[/tex]
[tex]x = 0.61[/tex]
The minimum score would your friend would need on the final to earn a 75% for the course is of 0.61 = 61%.
Choose values for horizontal and vertical translation
First perform a vertical translation of -5 and then a
horizontal translation of -5. Check all that apply.
O ZA ZA
y
4
Horizontal
Translation
OZBZB
2
B
Vertical
Translation
O ZCE ZC
A
X
AB=A'B'
-2
2
4
AC = A'C'
OBCEB'C'
-2
Reset
-4
Answer:
All of the answers are correct.
Answer:
all the answers are right bc if u look at them their all the same i also took the test
Step-by-step explanation:
Please solve log4 5-log4 18 =log4 20-2log4 x
Thank You
Answer:
your answer will be 22
Step-by-step explanation:
if you add 20 by 2 it will give you 22 use a calculator if not sure but 22 is your answer
Help plz:)))I’ll mark u Brainliest
Answer:
A.
Step-by-step explanation:
cause its congruent just flip and get
ZYX
brainliest appreciated
Pls help me I need this now pls
Answer:
450 cm
Step-by-step explanation:
25 on both sides 2x25
4 squares = 25x4
4 sides for 4 squares = 100x4
400+50
Answer: C
Step-by-step explanation:
A grocery store always displays a new brand of cereal on 6 shelves. The clerk places 18 boxes of cereal on each shelf. Which equation can be used to find the total number of boxes displayed.
A. 18÷6=
B. 18-6=
C. 6+18=
D. 6x18=
Answer:I think is 18 divided by 6
Step-by-step explanation:
Because they are saying each that is your clue word that means you need to divide.
I hope it helps :)
Find the value of each variable. I’ll mark you as a brainliest
Answer:
See below
Step-by-step explanation:
Q11
Triangle is 45° and therefore isosceles
x = 10y = 10√2Q12
y = 2*7 = 14 as the side opposite to 30° angle is half of the hypotenusex = √14²-7² = 7√3Q13
x = 32/2 = 16, same reason as abovey = 16√3Q14
x = y = 6/√2 = 6√2/2 = 3√2Q15
x = 11√3/√3 = 11y = 2x = 2*11 = 22Q16
z = 24√2/√2 = 24x = 24√3y = x/2 = 24√3/2 = 12√3I need help! Thanks!
Apply the distributive property to create an equivalent expression,
1/3(3j+ 6)
Answer:
j + 2
Step-by-step explanation:
1/3(3j) + 1/3(6)
1/3(3j) = j
1/3(6) = 2
Answer: j + 2
find all values of theta if theta is in the interval [0degrees,360degrees) and has the given function value
sec theta= -2
Answer:
[tex]\theta = 120, 240[/tex], in degrees
Step-by-step explanation:
The secant of an angle is given by:
[tex]\sec{\theta} = \frac{1}{\cos{\theta}}[/tex]
In this question:
[tex]\sec{\theta} = -2[/tex]
So
[tex]\frac{1}{\cos{\theta}} = -2[/tex]
[tex]-2\cos{\theta} = 1[/tex]
[tex]\cos{\theta} = -\frac{1}{2}[/tex]
In the first quadrant, the angle that has cosine of 1/2 is 60º.
The cosine is negative in the second and in the third quadrant.
The equivalent angle to 60º in the second quadrant is of 180º - 60º = 120º.
The equivalent angle to 60º in the third quadrant is of 180º + 60º = 240º
So the values of [tex]\theta[/tex] in the interval are:
[tex]\theta = 120, 240[/tex], in degrees
Change each of the following decimals to a fraction. Reduce your answer to its lowest terms.
0.07
0.3
0.168
0.0012
0.14
I will give brainiest to whoever answers correctly !!
Answer:
the material when you get a chance can you send me the material
What is the lim as x approaches pi [integral 1+tan t from pi to x]/(pi sin x)
Apply l'Hopital's rule:
[tex]\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}[/tex]
where
[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)[/tex]
follows from the fundamental theorem of calculus.
PLEASE HELP IVE BEEN TRYING TO FIGURE THIS OUT FOR 30 MINUTES AND I STILL CANT GET IT BLKADJFD
Answer:
Number 1
Step-by-step explanation: Not sure just assuming I think I am right not gonna lie
Answer:
[tex]m\angle R=35^{\circ}\\m\angle T=45^{\circ}[/tex]
Step-by-step explanation:
Since both triangles in this figure are similar, their corresponding angles must be equal.
Since [tex]\angle R[/tex] corresponds with [tex]\angle U[/tex]:
[tex]m\angle U=m\angle R=\fbox{$35^{\circ}$}[/tex].
Similarly, [tex]\angle T[/tex] corresponds with [tex]\angle Q[/tex]:
[tex]m\angle Q=m\angle T=\fbox{$45^{\circ}$}[/tex].
Mang ambo is a meat vendor
Answer:
can you elaborate a little more
help pls
A scale drawing of a rectangular basketball court measures 7 inches long and 4 inches wide. If the scale used for the drawing is 2.5 inches equals 5 yards, what is the actual length of the park?
Answer:
the length is 14 yards and the width is 8 yards
helppppppppppppppppppppppppppppppppjhfyigcusfdcusVCOUVc
Answer:
use the app called msthway
AXYZ is graphed on the coordinate plane using the following vertices:
X(2,7) Y(8,7) Z(5,2). Which of the following is the closest to the perimeter
of this triangle? *
18
17
16
15
Answer: The exact answer is 17.662 so I would assume the answer is 18 because it rounds up
Step-by-step explanation:
what is the name for the marked?
Answer:
C not sure though
Step-by-step explanation:
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due in 5 min will mark brainliest if corect
can someone help me please im struggling and can’t figure these 2 problems out :(