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3 years ago

2/3(2x-5) <2

Mathematics

1 answer:

Strike441 [17]3 years ago

3 0

Answer:

because if we can multiply by 3/2 on both side it make us easy we can easily remove or deduct

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Isabella constructed a cylindrical vase that has a volume of 63 cubic centimeters.Jasonbconstructed a cone that had the same hei

Korvikt [17]

cylindrical vase
r=radius cylinder=radius cone
h= height cylinder=height cone
Volume cylindrical vase (V1)= 63 cm³=pi*r² *h

cone
Volume cone (V2)=pi*r² *h
if radius cylinder=radius cone and height cylinder=height cone
then V1=V2
therefore
V2= 63 cm³

the answer is The volume of cone is 63 cm³

5 0

3 years ago

How much money in total would be paid by the 1st 150 student

spin [16.1K]

113.25 because the middle ground of 1 - 150 students is 75 and then 1+150=151 2+149+151 but instead of doing that again and again just multiply the lowest number and the highest number by the middle ground

7 0

3 years ago

How 7/3 compares to 2 1/3

alekssr [168]

7/3 written as a mixed fraction is 2 1/3

So

7/3 = 2 1/3

3 0

3 years ago

8 1/3 of what number is 50.5

maks197457 [2]

I hope this helps you

6 0

3 years ago

Calc help pretty please

Gre4nikov [31]

Answer:

A. 77.4

Step-by-step explanation:

Linear approximation formula

$L(x)=f(a)+f'(a)(x-a)$

Given function:

$f(x)=(x+1)^2$

$\boxed{\begin{minipage}{5.4 cm}\underline{Chain Rule for Differentiation}\\\\If $y=f(u)$ and $u=g(x)$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}y}{\text{d}u}\times \dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}$

$\boxed{\begin{minipage}{5 cm}\underline{Differentiating $x^n$}\\\\If $y=x^n$, then $\dfrac{\text{d}y}{\text{d}x}=xn^{n-1}$\\\end{minipage}}$

$\boxed{\begin{minipage}{4 cm}\underline{Differentiating $ax$}\\\\If $y=ax$, then $\dfrac{\text{d}y}{\text{d}x}=a$\\\end{minipage}}$

Use the chain rule to differentiate the function.

$\textsf{Let }\:y=u^2\:\textsf{ where }u=(x+1)$

Differentiate the two parts separately:

$y=u^2 \implies \dfrac{\text{d}y}{\text{d}u}=2u$

$u=x+1 \implies \dfrac{\text{d}u}{\text{d}x}=1$

Put everything back into the chain rule formula:

$\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =2u \times 1\\ & = 2u \\ & = 2(x+1)\\ & = 2x+2 \end{aligned}$

$\textsf{Therefore, }\:f'(x)=2x+2.$ .

The linear approximation at a = 8 is:

$\begin{aligned}L(x) & =f(a)+f'(a)(x-a)\\\\\implies L(x) & = f(8)+f'(8)(x-8)\\& = (8+1)^2+(2(8)+2)(x-8)\\& = 81+18(x-8)\\& = 18x-63\end{aligned}$

Finally, substitute x = 7.8 into the linear approximation equation:

$\begin{aligned}\implies L(7.8) & =18(7.8)-63\\& = 140.4-63\\& = 77.4\end{aligned}$

4 0

2 years ago

Read 2 more answers