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hram777 [196]
3 years ago
7

A right cylinder can of PaPi spinach has a diameter length of 4" and a height of 5". what is the total surface area of the spina

ch can? (nearest tenth)
Mathematics
1 answer:
Oduvanchick [21]3 years ago
3 0

if the cylinder has a diameter of 4, then its radius is half that, or 2.


\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=2\\ h=5 \end{cases}\implies SA=2\pi (2)(5+2)\implies SA=4\pi (7) \\\\\\ SA=28\pi \implies SA\approx 87.964594\implies \stackrel{\textit{rounded up}}{SA=88.0}

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Tomas factored the polynomial completely. What is true about his final product? 3x4−18x3+9x2−54x Ax(x2+B)(x+C)
iren2701 [21]

Answer:

A and B are both 3.  

Step-by-step explanation:

The given polynomial is 3x^4-18x^3+9x^2-54x.

We factor the GCF to obtain:

3x(x^3-6x^2+3x-18)

We factor further by grouping to get:

3x[x^2(x-6)+3(x-6)]

3x(x^2+3)(x-6)

We compare this to the given factored expression:

3x(x^2+3)(x-6)=Ax(x^2+B)(x+C)

We must have A=3,B=3, C=-6

8 0
3 years ago
Read 2 more answers
HURRY!<br> What are all the possible rational solutions for x^4-3x^2+2x5=0
xxTIMURxx [149]

Answer: x = 1

x =(-3-√-15)/4=(-3-i√ 15 )/4= -0.7500-0.9682i

x =(-3+√-15)/4=(-3+i√ 15 )/4= -0.7500+0.9682i

x2 = 0

Step-by-step explanation:

4 0
3 years ago
The admission at the movies is $5 for children and $10 for adults. The total amount collected was
sesenic [268]

Answer:

Number of children, x= 400

Number of adults, y = 100

Step-by-step explanation:

Let the number of children be x

Let the number of  adults be y

Given : Total number of people,  x + y = 500  --------(1)

           Total amount collected, 5x + 10y = 3000  ---------(2)

(1) => y = 500 - x

Substitute y in (2) : 5x + 10(500 - x) = 3000

                             5x + 5000 - 10x = 3000

                                -5x = 3000 - 5000

                                 -5x = -2000

                                    x = 400

Substitute x in (1) : 400 + y = 500

                                      y = 500 - 400

                                      y = 100

4 0
2 years ago
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 956 ÷ 87?
dlinn [17]

Answer:

870 as it is the only number in the list which closest and lesser then 956.

(if you divide, then you get 10 as quotient and 86 as remainder)

we can also take 87 but the question mentions with multiples of 10.

Step-by-step explanation:

6 0
2 years ago
What is the quadratic regression equation for the data set? ​ ​ ​ <br><br> PLEASEE HELP ME
Soloha48 [4]
You're trying to find constants a_0,a_1,a_2 such that \hat y=a_0+a_1\hat x+a_2{\hat x}^2. Equivalently, you're looking for the least-square solution to the following matrix equation.


\underbrace{\begin{bmatrix}1&6&6^2\\1&3&3^2\\\vdots&\vdots&\vdots\\1&9&9^2\end{bmatrix}}_{\mathbf A}\underbrace{\begin{bmatrix}a_0\\a_1\\a_2\end{bmatrix}}_{\mathbf x}=\underbrace{\begin{bmatrix}100\\110\\\vdots\\70\end{bmatrix}}_{\mathbf b}

To solve \mathbf{Ax}=\mathbf b, multiply both sides by the transpose of \mathbf A, which introduces an invertible square matrix on the LHS.

\mathbf{Ax}=\mathbf b\implies\mathbf A^\top\mathbf{Ax}=\mathbf A^\top\mathbf b\implies\mathbf x=(\mathbf A^\top\mathbf A)^{-1}\mathbf A^\top\mathbf b

Computing this, you'd find that

\mathbf x=\begin{bmatrix}a_0\\a_1\\a_2\end{bmatrix}\approx\begin{bmatrix}121.119\\-3.786\\-0.175\end{bmatrix}

which means the first choice is correct.
8 0
3 years ago
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