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3 years ago

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The measure of a side of a square is x units. A new square is formed with each side 6 units longer than the original square's si

de Write an expression to represent the are of the new square Hint Draw the new square and count the squares and rectangles1 Original Square

1 answer:

den301095 [7]3 years ago

6 0

(x+6)(x+6) is the equation to find the area of the second square

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Which statements are true of functions? Check all that apply.

guajiro [1.7K]

The statements that are true are:
First option: All functions have dependent a variable
Second option: All functions have an independent variable.
Fifth option: A horizontal line is an example of a functional relationship

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3 years ago

Read 2 more answers

When Derek planted a tomato plant, he expected to be picking his first ripe tomato in 45 days. His estimate was 25% less than th

jolli1 [7]

Answer:

60 days.

Step-by-step explanation:

Let the actual time be x, then:

x - 0.25x = 45

0.75x = 45

x = 45/0.75

= 60 days.

3 0

2 years ago

A melting spherical block of ice has its surface area changing at the rate of 24 inch2 /sec at the time the radius is 3 inches.

emmainna [20.7K]

The surface area of the sphere is:
A = 4 * pi * r ^ 2
Deriving we have:
A '= 8 * pi * r * r'
We clear the speed:
r '= A' / (8 * pi * r)
Substituting values:
r '= 24 / (8 * pi * 3)
r '= 1 / pi inch / sec
Then, the volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Deriving we have:
V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
Substituting values:
V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
Rewriting:
V '= (4) * (9)
V '= 36 inch3 / sec
Answer:
the volume of the ice is changing at 36 inch3 / sec at that moment

4 0

3 years ago

PLZZZZZZZZZ HELP ASAPPPPPPP

Tamiku [17]

Answer:

the answer is 28 if you multiply if not 30

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3 years ago

An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the

sdas [7]

Answer:

a

$n= 75, 582$

b

$n= 2300$

c

$n = 253$

Step-by-step explanation:

Generally the size of the sample sample space is mathematically represented as

$n = \left N } \atop {}} \right. C_r$

Where N is the total number of objects available and r is the number of objects to be selected

So for a, where N = 19 and r = 8

$n = \left 19 } \atop {}} \right. C_8 = \frac{19 !}{(19 - 8 )! 8!}$

$= \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}$

$n= 75, 582$

For b Where N = 25 and r = 3

$n = \left 25 } \atop {}} \right. C_3 = \frac{25 !}{(19 - 3 )! 3!}$

$= \frac{25 *24 *23 *22 ! }{22 ! \ 3!}$

$n= 2300$

For c Where N = 23 and r = 2

$n = \left 23 } \atop {}} \right. C_2 = \frac{23 !}{(23 - 2 )! 2!}$

$= \frac{23 *22 *21! }{21 ! \ 3!}$

$n = 253$

4 0

4 years ago