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3 years ago

13

New York City gift shop sells miniature Statue of Liberty sculptures that are 7.8 inches tall. the scale of the model to the act

ual statue is 1:232. what is the height of the actual statue to the nearest foot?

2 answers:

Natasha_Volkova [10]3 years ago

8 0

The correct answer is 151

IRISSAK [1]3 years ago

5 0

Answer:

151 ft

1000% correct I just took the quiz

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If 2y=x³ + 2x², find dy/dx when x=2.

scZoUnD [109]

Answer:

10

Step-by-step explanation:

$\boxed{\textsf{If }y=x^n,\: \textsf{then }\dfrac{\text{d}y}{\text{d}x}=nx^{n-1}}$

<u>Given equation</u>:

$2y=x^3+2x^2$

Isolate y by dividing both sides by 2:

$\implies y=\dfrac{1}{2}x^3+x^2$

Differentiate with respect to x:

$\implies \dfrac{\text{d}y}{\text{d}x}=3 \cdot \dfrac{1}{2}x^{3-1}+2 \cdot x^{2-1}$

$\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{3}{2}x^2+2x$

Finally, substitute x = 2 into the differentiated equation:

$\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =\dfrac{3}{2}(2)^2+2(2)\\\\ & = \dfrac{3}{2}(4)+4\\\\ & = \dfrac{12}{2}+4\\\\ & = 6+4\\\\ & = 10\end{aligned}$

Learn more about differentiation here:

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5 0

2 years ago

Solve this problem: 3(6 - 8)² + 8÷2<br> A-8<br> B-16<br> C-28<br> Will mark Brainliest!!

marishachu [46]

Answer: 16

Step-by-step explanation: When you have a set of parentheses in an order of operations problem, you must simplify what's inside that set of parentheses first before you do anything else.

So our first step here is to subtract 6 - 8 which gives us -2.

So in our next step we have 3 (-2)² + 8 ÷ 2.

Now remember to do exponents before you multiply.

So (-2)² is just -2 × -2 or 4.

So in our next step we have 3 x 4 + 8 ÷ 2.

Now, we multiply so we have 3 x 4 which is 12.

So we have 12 + 8 ÷ 2.

Now we can divide.

8 ÷ 2 is 4 so we have 12 + 4 or 16.

So the answer to this problem is 16.

5 0

4 years ago

Read 2 more answers

Please help me with this homework

andriy [413]

Answer:

wow. at this point just guess

Step-by-step explanation:

8 0

3 years ago

An older car weighs 2 tons. A newer model of the car weighs 40 pounds more than the previous model. How much does the newer mode

ExtremeBDS [4]

1 ton. = 2000 pounds
2 tons. = 4000 pounds _old model
4000+40=4,040 pounds_newer model

8 0

3 years ago

Using V = lwh , find an expression in factored form for the volume of this prism. Explain the general steps you used to arrive a

marysya [2.9K]

Answer:

V = 6x²(2x - 5)

Step-by-step explanation:

Factor the dimensions, that is

24x² + 6x = 6x(4x + 1) ← common factor of 6x

x² - x = x(x - 1) ← common factor of x

The product lwh can now be written

V = $\frac{6x(4x+1)}{x-1}$ × (2x - 5) × $\frac{x(x-1)}{4x+1}$

Cancel the factors (4x + 1) and (x - 1) from the numerators/ denominators

V = 6x × x × (2x - 5) = 6x²(2x - 5) ← in factored form

4 0

3 years ago

Read 2 more answers