C. INFINITE SOLUTION CC
Answer:
no solution
Step-by-step explanation:
A manufacturer makes decorative globes out of silver in the shape of a solid sphere. Suppose each sphere has a radius of 3 cm. If silver is priced at $7.00 per cm", how much will the silver cost to make one solid sphere?
Use 3.14 for , and do not round your answer.
Answer: [tex]\$791.28[/tex]
Step-by-step explanation:
Given
The radius of the sphere is 3 cm
Silver cost [tex]\$7[/tex] per [tex]cm^3[/tex]
The volume of a sphere is [tex]\frac{4\pi}{3}r^3[/tex]
Put the values
[tex]\Rightarrow \dfrac{4\pi}{3}\times 3^3\\\\\Rightarrow \dfrac{4\times 3.14}{3}\times 3\times 3^2\\\\\Rightarrow 113.04\ cm^3[/tex]
The price of this sphere is
[tex]\Rightarrow 113.04\times 7=\$791.28[/tex]
What is (1/2+i √3/2)^5?
Answer:
Hello! I know I am late but here is the answer for anyone else who might need it.
D. 1/2-i√3/2
Step-by-step explanation:
I got it right on edge. Hope this helps!
The value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].
What is binomial theorem?
The expression of the form (a+b)^n is expand by binomial theorem.
The expansion is [tex](a+b)^{n}=\sum_{r=0}^{n}{ }^{n} C_{r} a^{n-r} b^{r}[/tex].
What is the value of given expression?Use a=1/2 and b=[tex]b=\frac{i\sqrt{3} }{2}[/tex] into the expansion of binomial.
[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\sum_{k=0}^{5}\left(\begin{array}{l}5 \\k\end{array}\right)\left(\frac{1}{2}\right)^{5-k}\left(\frac{\sqrt{3} i}{2}\right)^{k}[/tex]
When k=0 then, [tex]\left(\begin{array}{l}5 \\0\end{array}\right)\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{5 !}{(5-0) ! 0 !}\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{1}{32}[/tex]
When k=1 then, [tex]\left(\begin{array}{l}5 \\1\end{array}\right)\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 !}{(5-1) ! 1 !}\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 \sqrt{3} i}{32}[/tex]
When k=2 then, [tex]\left(\begin{array}{l}5 \\2\end{array}\right)\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=\frac{5 !}{(5-2) ! 2 !}\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=-\frac{15}{16}[/tex]
When k=3 then, [tex]\left(\begin{array}{l}5 \\3\end{array}\right)\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=\frac{5 !}{(5-3) ! 3 !}\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=-\frac{15 \sqrt{3} i}{16}[/tex]
When k=4 then, [tex]\left(\begin{array}{l}5 \\4\end{array}\right)\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{5 !}{(5-4) ! 4 !}\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{45}{32}[/tex]
When k=5 then, [tex]\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{5 !}{(5-5) ! 5 !}\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{9 \sqrt{3} i}{32}[/tex],
Now we will add all the results to get the expansion of given expression,
[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{32}+\frac{5 \sqrt{3} i}{32}-\frac{15}{16}-\frac{15 \sqrt{3} i}{16}+\frac{45}{32}+\frac{9 \sqrt{3} i}{32}[/tex]
On simplifying,
[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex]
Therefore, the value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].
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pls help this needs to be answered by today.
Derek put 10 crickets in his pet lizard’s cage. After one day, Derek’s lizard had eaten 20% of the crickets he had put in the cage. By the end of the next day, the lizard had eaten 25% of the remaining crickets. How many crickets were left in the cage at the end of the second day?
Answer:
6 crickets
Step-by-step explanation:
First day: 20% of 10 is (.20)(10) = 2, so there were 10 - 2 = 8 crickets left.
Second day: 25% of 8 is (.25)(8) = 2, so there were 8 - 2 = 6 crickets left.
A car travels according to the table of value shown.what equation can be used to predict the distance (d) the car travels in the number of hours (h)
Answer:
Vajsjke
Step-by-step explanation:
ggzodxkdfdjhs
How many milliliters equal to 8.25 liters 
Answer: 8,500
Step-by-step explanation:
Answer:
8250 mL
Step-by-step explanation:
Multiply the volume value by 1000
what is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long, respectively
Answer:
9.22 feet
Step-by-step explanation:
To find the sides of a right triangle, we use the Pythagorean Theorem:
a² + b² = c²
a and b are each one side. c is the hypotenuse.
Let's plug in what we know.
a² + b² = c²
(6)² + (7)² = c²
Evaluate the exponents.
36 + 49 = c²
Add.
85 = c²
Take the square root of both sides.
√85 = √c²
√85 = c
9.22 = c
The hypotenuse is about 9.22 feet long.
Hope this helps!
are 3ab and -8ba like terms?
true or false
Answer:
True
hope this helps
have a good day :)
Step-by-step explanation:
Which equation describes this graph?
Answer: C ([tex]y = x - 3[/tex]).
Kyle is practicing for a 3 mile race. His normal time is 23 minutes and 26 seconds. Yesterday it took him 21 minutes and 38 seconds. How much faster was Kyle's time yesterday than his normal time?
Kyle's yesterday's time was 108 seconds, or 1 minute and 48 seconds, faster than his normal time.
How much faster was Kyle's time yesterday than his normal time?To find the difference in time between Kyle's normal time and yesterday's time, we need to subtract his normal time from yesterday's time:
(21 minutes 38seconds)−(23 minutes 26 seconds)
(21 minutes 38 seconds)−(23 minutes 26 seconds)
We can first convert both times to seconds to make the subtraction easier:
=(21×60+38)seconds
−(23×60+26)seconds
=(21×60+38) seconds−(23×60+26) seconds
=(1298 seconds)−(1406 seconds)
=(1298 seconds)−(1406 seconds)
=−108 seconds
=−108 seconds
The result is negative because Kyle's yesterday's time is faster than his normal time. To find the positive difference, we can multiply by -1:
∣−108∣ =108seconds
∣−108∣= 108 seconds
Therefore, Kyle's yesterday's time was 108 seconds, or 1 minute and 48 seconds, faster than his normal time.
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A 16 oz package of brown rice costs 79 cents and a 32 oz package of
brown rice costs $2.09. Which package is a better deal?
I have to get this done by tonight please help me!!
Answer:
The 16oz is a better deal
Step-by-step explanation:
32 = 2 * 16
buying 2 packages of 16 oz cost
0.79 * 2 = 1.58
1.58 < 2.09
The 16oz is a better deal
Answer:
The 16 oz package.
Step-by-step explanation:
Make the 16 oz a 32 oz so we can compare the prices
Mutiply 0.79 X 2 = 1.58
The 16 oz is because you can buy it twice making it a 32 oz for less than the orginal 32 oz.
(Compared side by side)
2.09 > 1.58
hope this helped!
Which line is parallel to the line y= x + 7 ?
Answer: y=x+
Step-by-step explanation:
In order for two lines to be paralell, their slopes must be the same but their y intercepts must be different. Therefore, any line that looks like y=x+ (anything but 7) will be paralell.
Determine whether the triangle with the given side lengths is acute,
right, obtuse or not a triangle 14,16,27
Answer:
this triangle is "obtuse
Step-by-step explanation:
Since sides 14 and 16 add up to 30, which is more than the third side, 27, we DO have a triangle here. The sides of lengths 14 and 16 form an angle greater than 90 degrees, and so this triangle is "obtuse." It's not a right triangle either, because the Pythagorean Theorem is not satisfied: 14^2 + 16^2 = 452, which is NOT 27^2.
Determine the area of the rectangle. Write your answer as a decimal.
Answer: all you have to do is times length times width
which is 1 1/2x4 1/2 and then make it a decimal
will give brainlyist if quick Which of the following represents the graph of the equation y = 2x - 3?
Answer:
Graph B
Step-by-step explanation:
Slope: 2/1
Y-Intercept: -3
center (3,-2), radius =5
Answer:
(x-3^2+y+2^2 =25
Step-by-step explanation:
In the diagram below of triangle GHIGHI, JJ is the midpoint of \overline{GI} GI and KK is the midpoint of \overline{HI} HI . If JK=-21+9xJK=−21+9x, and GH=-2x+18GH=−2x+18, what is the measure of \overline{GH} GH ? G H
Answer:
25.5
Step-by-step explanation:
2( -21+9x)=2x+18
-42+18x=2x+18
+42 +42
18x=2x+60
-2x -2x
16x=60
60/16=3.75
x=3.75
GH=2x+18
2(3.75)+18
7.5+18=25.5
GH=25.5
What shape has
4 equal sides and
No right angles
Answer:
Rhombus
Step-by-step explanation:
Answer:
The answer is a rhombus
Hope this helps!
Mark me brainliest?? :)
Connor makes 3 batches of muffins . Each batch has 12 muffins . Connor eats 2 muffins . What is m, the number of muffins Connor has left
PLEASE HELP, I'll GIVE BRAINLIEST FOR BEST ANSWER.
A drawer contains black socks and white socks. 40% of the socks are black socks. A number generator simulates randomly selecting 10 socks from the drawer. The number generator is used 10 times and the number of black socks in each trial is shown in the dot plot.
Which description is correct about the number generator being fair or not?
A.)The number generator is fair. It picked black socks half of the time.
B.)The number generator is not fair. It picked black socks half of the time.
C.)The number generator is not fair. In three experiments, it picked black socks 50% of the time.
D.)The number generator is fair. It picked the approximate percentage of black socks most of the time.
Answer:
the number generated is fair . it picked the approximate percentage of black socks most of the time
The scale factor of a model car is the actual car is 300. If the model car is 2 in tall, how all is the car
Answer:
600
Step-by-step explanation:
The length of the actual car is 600.
What is a scale factor?Scale factor is that it is a number that multiplies times a given quantity to produce a smaller or larger version of the original number. The ratio of any two corresponding lengths in two similar geometric figures.
For the given situation,
The scale factor of a model car = 2
The length of the model car = 300
The length of the actual car = [tex]300(2)[/tex]
⇒ [tex]600[/tex]
Hence we can conclude that the length of the actual car is 600.
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Solve- 5x - 2(2x - 7) = 2(3x - 1) + [tex]\frac{7}{2}[/tex]
Pls help mehhh
Help please?
.........................
4. What is the value of x in the equation 512x3 = 8?
A 3/4
B 3 1/4
C 4
D 1/4
Answer1/4 hope this help
Step-by-step explanation:
"doNT Youu wiSH your GRaNDMa was hoT like Mee"
Answer: XD that was great
Find the volume of the solid. Round your answer to the nearest tenth.
Answer:
31.71 mm
Step-by-step explanation:
#1: Find V of cube
(L)(W)(H) = V
(3)(3)(3) = V
27= V
#2: Find V of the half sphere.
3 (diameter) × π = 9.42 (rounded)
9.42/2 (since 9.42 is the volume for a whole sphere)
=4.71
#3: 4.71+27= 31.71
:)
Please help FIND DB.....
Find an equivalent ratio 24:9
F 6 to 2
H 36 to 13.5
G 5:12
J 6:5
Lesson 6 Homework Practice Select an Appropriate Display
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 14. What percentage of people has an IQ score greater than 114?
Answer:
15.87%
Step-by-step explanation:
We start with getting the z score
Mathematically , we have this as;
z-score = (x-mean)/SD
where x = 114
z-score = (114-100)/14 = 14/14 = 1
So we want to calculate the probability values that are greater than 1
We can use the standard normal distribution table
so we have P(z> 1) = 0.15866
in percentage, we multiply by 100 and that gives 15.866 which is 15.87 people