Answer:
V ≈ 552.9 cm³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height ) , then
V = π × 4² × 11 = π × 16 × 11 = 176π ≈ 552.9 cm³ ( to the nearest tenth )
Answer:
The volume of Coke can is 552.64 cm².
Step-by-step explanation:
Given :
✧ Radius of Coke can = 4 cm.✧ Height of Coke can = 11 cm.To Find :
✧ Volume of Coke canUsing Formula :
[tex]{\star{\small{\underline{\boxed{\sf{\red{V_{(Can)} = \pi{r}^{2}h}}}}}}}[/tex]
✧ V = Volume ✧ π = 3.14 ✧ r = radius ✧ h = heightSolution :
Here's the Coke can is in cylindrical form.
So, finding the volume of Coke can by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{Volume_{(Can)} = \pi{r}^{2}h}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4)}^{2} \times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4 \times 4)}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(16)}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {16}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314}{100} \times {16}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314 \times 16 \times 11}{100}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{5024 \times 11}{100}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{55264}{100}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}[/tex]
[tex]\star{\red{\underline{\boxed{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}}}[/tex]
Hence, the volume of Coke can is 552.64 cm².
How do I find the inverse?
g(x) as given has no inverse because there are instances of two x values giving the same value of g(x). For instance,
x = -1 ⇒ g(-1) = 4 (-1 + 3)² - 8 = 8
x = -5 ⇒ g(-5) = 4 (-5 + 3)² - 8 = 8
Only a one-to-one function can have an inverse. g(x) is not one-to-one.
However, if we restrict the domain of g(x), we can find an inverse over that domain. Let [tex]g^{-1}(x)[/tex] be the inverse of g(x). Then by definition of inverse function,
[tex]g\left(g^{-1}(x)\right) = 4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]
Solve for the inverse:
[tex]4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]
[tex]4 \left(g^{-1}(x) + 3\right)^2 = x + 8[/tex]
[tex]\left(g^{-1}(x) + 3\right)^2 = \dfrac{x + 8}4[/tex]
[tex]\sqrt{\left(g^{-1}(x) + 3\right)^2} = \sqrt{\dfrac{x + 8}4}[/tex]
[tex]\left| g^{-1}(x) + 3 \right| = \dfrac{\sqrt{x+8}}2[/tex]
Recall the definition of absolute value:
[tex]|x| = \begin{cases}x & \text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]
This means there are two possible solutions for the inverse of g(x) :
• if [tex]g^{-1}(x) + 3 \ge 0[/tex], then
[tex]g^{-1}(x) + 3 = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]
• otherwise, if [tex]g^{-1}(x)+3<0[/tex], then
[tex]-\left(g^{-1}(x) + 3\right) = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3-\dfrac{\sqrt{x+8}}2[/tex]
Which we choose as the inverse depends on how we restrict the domain of g(x). For example:
Remember that the inverse must satisfy
[tex]g\left(g^{-1}(x)\right) = x[/tex]
In the first case above, [tex]g^{-1}(x) + 3 \ge 0[/tex], or [tex]g^{-1}(x) \ge -3[/tex]. This suggests that we could restrict the domain of g(x) to be [tex]x \ge -3[/tex].
Then as long as [tex]x \ge -3[/tex], the inverse is
[tex]g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]
If g(x) =3-2x, find g(-1) (show work)
What is -0.4 times -5/6?
Answer:
0.3
Step-by-step explanation:
hopes this helps
what is the solution to the equation 4(x - 3) - 8 = 16?
Step-by-step explanation:
4(x-3)-8=16
4x-12-8=16
4x-20=16
4x-20+20=16+20
add
4x=36
divide both
4x/4 36/4
Simplify
x = 9
Haley is the head nurse at a hospital and must order supplies. If 1 4 of a package of bandages lasts 1 8 of the month, how many packages of bandages are needed for the entire month?
Answer:
2 Packages
Step-by-step explanation:
To last the whole month, we would need to multiply 1/4 by 8.
1 *8 = 8
4 * 1 = 4
8/4 = 2
3. Suppose Natalie put $2,400 in the bank for 5 years. She makes $9.20 in interest
every month. What is the annual interest rate?
Annual interest rate is 4.6%
hope this helps!
I did help on this question
Answer:
6/7
Step-by-step explanation:
What is the area of 2.4
(3 z + 1) + (5 + 7 z )
Answer:
10z + 5
Step-by-step explanation:
(3 z + 1) + (5 + 7 z )
3 z + 1 + 5 + 7 z [Remove parentheses]
10z + 5 [Combine like terms]
.
[tex]10z + 6[/tex]
[tex]3z + 7z + 5 + 1 = 10z + 6[/tex]
=
WHOLE NUMBERS AND INTEGERS
Word problem on unit rates associated with ratios of w
Charlie types at a rate of 14 words per minute.
How many words does he type in 2 minutes?
i words
OB
S
?
I got these questions wrong, please explain how to do this
Answer:
See attachment
Step-by-step explanation:
2. Which of these situations can be represented by the
opposite of -25?
A. scuba diver is 25 feet below sea level.
B. Leon gets paid $25.
C. An airplane descends 25 feet.
D. Sara has a $25 debt.
a
Answer:
B
Step-by-step explanation: Because he gains $25, which is positive
Determine if triangles with the following side lengths are possible.
A: 5 8 4
B: 3, 6, ,2
C: 7, 5, 4,
Answer:
a is possible
b is not possible
c is possible
I will give brainiest to the best answer.
what is half of the square root of 72?
Plz answer in square root form. Thank you
Answer:
3sqrt(2)
Step-by-step explanation:
72=6^2 x 2 so sqrt(72)=6sqrt(2)
divide by 2 to get 3sqrt(2)
Answer:
[tex]answer \: is \: = \: \sqrt[6]{2} [/tex]
[tex]to \: know \: the \: answer \: with \: proof[/tex]
[tex]refer \: to \: the \: above \: attatchmet \: [/tex]
Hope this helps you !!Write the inequality represented by the graph below.
The diagram shows a triangle.
What is the value of b?
37
143
90
30
Answer:
37
Step-by-step explanation:
All angles of a triangle have to add up to 180 degrees
180 - 113 - 30 = 37
37+113+30 = 180
please help ASAP! A circular plate has a radius of 13 centimeters.
What is the area of the plate?
Use 3.14 for π.
Answer:
area = PI x r^2
area = 3.14 x 13^2
area = 3.14 x 169
area = 530.66
Step-by-step explanation:
Plz Mark as brainliest hope this helps
Convert 20degrees Celsius to degrees Fahrenheit
Answer:
68 degrees fahrenheit.
Step-by-step explanation:
Formula:
(20°C × 9/5) + 32 = 68°F
Answer:
Its around 68F
Step-by-step explanation:
Hope this helped
Write an equation for the nth term of
the arithmetic seqeuence. Then find a10
Need help please quick
Answer is attached.
Hope it helps :)
Hi guys, I need some help with this. Look at the screenshot below.
Answer:
20%
Step-by-step explanation:
54-45 = 9
9/45 = 0.2
0.2*100 = 20
Production increased 20%
please help me if you know thank you :)))
Answer:
a) -inf b) DNE c) 2 d) 3 e) 1
Step-by-step explanation:
Im not 100% sure about c and d
May someone help me please!
Answer: i got you my boi answer is x > -3
Step-by-step explanation:
What is the sum of the first 32 terms in the arithmetic
series 3 + 10 + 17 + …?
Answer:
30
Step-by-step explanation:
Can you calculate problems involving percent? pls help i WILL make as brainlyst pls i dont wanna fail
Answer:
45 is 150% of 30.
Step-by-step explanation:
To find what percent of 30 is 45 first we must turn it into a fraction and simplify.
fraction form: 45/30
simplified fraction form: 3/2
now to find percent you have to put a number over one hundred.
3/2 = ?/100
Right now our denominator is 2. By what number can we multiply 2 to get to 100? The answer is 50.
Now that we have multiplied the denominator by 50, we also have to multiply the numerator (3) by fifty. 3 x 50 = 150
so now we put the new numerator and denominator together and get 150/100
The answer is 150%
ankita and her three friends are going to share a three bedroom apartment if the total rent is Rp.r, what is ankitas share
Using proportions, it is found that Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.
This question is solved by proportions, using a rule of three.Considering that there are 4 people and the rent is of x Rp.r, 4 people pay x, how much does Ankita, which is one person, pay?The rule of three is:
4 people - x
1 people - a
Applying cross multiplication:
[tex]4a = x[/tex]
[tex]a = \frac{x}{4}[/tex]
Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.
You can learn more about proportions at https://brainly.com/question/24372153
Helppp I’m having problems with fractions
Answer:
The fourth one
Step-by-step explanation:
I know that is correct
Sierra left $17.75 as a tip for a waiter. This was 20% of the bill before the tip. How much was her total bill before the tip
Answer:
$31.95 Before tip.
Step-by-step explanation:
I believe you should just add 17.75+80%=31.95
Plz help fast I will mark Brainlyist
Answer:
-4 -2 1 the top are 2/6 -2/8
Step-by-step explanation:
I don't know if that's right but yea hope that helps
Steph makes 90 % 90%90, percent of the free throws she attempts. She is going to shoot 3 33 free throws. Assume that the results of free throws are independent from each other. Let X XX represent the number of free throws she makes. Find the probability that Steph makes exactly 1 11 of the 3 33 free throws. You may round your answer to the nearest hundredth. P ( X = 1 ) =
Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.
For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[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:
He makes 90% of the free throws, hence [tex]p = 0.9[/tex].He is going to shoot 3 free throws, hence [tex]n = 3[/tex].The probability that he makes exactly 1 is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.9)^{1}.(0.1)^{2} = 0.027[/tex]
0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
Answer:
0.03
Step-by-step explanation:
I just did it on Khan
Austin didn’t win first or last place. The snowmen wearing scarves with stripes were in second and last place. Austin’s snowman came in after Jeffrey’s but before Shelby’s snowman. Keira placed better than Shelby but not as good as Matthew.
Answer:
1st - Matthew
2nd - Kiera
3rd - Jeffrey
4th - Austin
5th - Shelby
The sequence of the statement will be Matthew is in the first place, Kiera is in second place, Jeffrey is in third place, Austin is in fourth place, and Shelby is in fifth place.
What is sequence?An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.
Given:
Austin didn’t win first or last place,
The snowmen wearing scarves with stripes were in second and last place,
Austin’s snowman came in after Jeffrey’s but before Shelby’s snowman,
Keira placed better than Shelby, but not as well as Matthew,
The sequence of the above statement can be written as,
1st - Matthew
2nd - Kiera
3rd - Jeffrey
4th - Austin
5th - Shelby
To know more about the sequence:
https://brainly.com/question/28615767
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