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3 years ago

11

fluid intelligenceabilities that rely on information-processing skills such as reaction time, attention, and working memoryManny

was given a glass jar and a long string and was asked to come up with as many different possible uses as he could think of. He quickly created a toy, a cooking utensil, and a unique purse out of the objects. Manny's ability to reason abstractly about the objects without any instruction is an example of fluid intelligence. (True/False)

1 answer:

Grace [21]3 years ago

3 0

Answer:

False

Step-by-step explanation:

Abstract reasoning is not one of the characteristics listed for fluid intelligence.

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Answer:

It 20.54 round to the nearest tenth which is 20.5

Step-by-step explanation:

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Please help me with this question

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Answer:

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2 years ago

-2x-2+x^2+x+180+-2x-2=180

Dominik [7]

Answer:

x= 4, -1

Step-by-step explanation:

-2x - 2 + x^2 + x + 180 - 2x - 2 = 180

add like terms and put in descending order

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subtract 180 from both sides

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5 0

2 years ago

You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

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Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

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3 0

3 years ago

a total of 387 tickets were sold for the school play. they were either adult tickets or student tickets. there were 63 fewer stu

Alex17521 [72]

Student Tickets - x-64

Adult Tickets - x

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x=225

225 adult tickets were sold,

161 student tickets were sold.

Hope that helps!

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3 years ago