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sergejj [24]
3 years ago
9

The diagram shows a square-based cuboid.

Mathematics
1 answer:
ale4655 [162]3 years ago
5 0

Answer:

400 cubic cm

Step-by-step explanation:

Given that base is square and is side is 10 cm

area of square is given by side^2

Thus, area of base of cuboid  = 10^2 square cm = 100 sq. cm

We know volume for any cuboid is area of base * height

height is 4cm

thus, volume of cuboid = area of base of cuboid * height

                                     = 100 * 4 cubic cm = 400 cubic cm

Volume of cuboid is 400 cubic cm.

Unit is cubic cm

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A 2-column table has 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is label
JulijaS [17]

The growth factor of the exponential function represented by the table is 5.

The correct option is c.

<h3>What is the growth factor of the exponential function?</h3>

The growth factor of the exponential function is the ratio of the two consecutive terms (y-values).

The growth factor of the exponential function is given by;

\rm Growth\ factor=\dfrac{y(x_2)}{y(x_1)}\\\\

As per given, we have a table;

x         y

-2     0.004

-1       0.02

0       0.1

1        0.5

The value  \rm x_2 is -2 and \rm x_1 is -1.

Therefore,

the growth factor of the exponential function represented by the table would be :

\rm Growth\ factor=\dfrac{y(x_2)}{y(x_1)}\\\ \rm Growth\ factor=\dfrac{y(-1)}{y(-2)}\\\\\rm Growth\ factor=\dfrac{0.02}{0.004}\\\\ \rm Growth\ factor=5

Hence, the growth factor of the exponential function represented by the table is 5.

To know more about the Growth factor click the link given below.

brainly.com/question/985668

6 0
2 years ago
On a vacation in Puerto Rico rose jumped off a cliff into a river in El Yunque go forest reserve her height as a function of tim
gayaneshka [121]

Answer: t = 6 s

Step-by-step explanation:

When Rose hit the water, the height of the jump is 0, so: h(t) = 0.

Resolving it, we have:

-16t² + 16t + 480 = 0

To simplify the second degree equation, divided it by 16:

-t² + t + 30 = 0

Now, solve the equation using Bhaskara:

Δ = 1² - 4. (-1) . 30

Δ = 1 + 120

Δ = 121

t = \frac{-1+\sqrt{121} }{-2}

t₁ = \frac{-1 + 11}{-2} = - 5

t₂ = \frac{-11-11}{-2} = 6

Since time can be negative, it took t = 6s for Rose to hit the water.

6 0
3 years ago
Four consecutive odd integers add up to -48. What is the least of these integers?
Semmy [17]

Answer:

-9

Step-by-step explanation:

Four consecutive odd integers be (2x - 3),(2x -1),(2x + 1),(2x + 3)

2x-3 + 2x - 1 +2x+1 + 2x+3 = -48

2x + 2x + 2x +2x - 3 - 1 + 3 + 1 = -48

8x = -48

x = -48/8

x = -6

Least of these integer = 2x + 3 = 2*(-6) + 3 = -12 + 3 = -9

3 0
3 years ago
Can someone please help?!!!
Nuetrik [128]

The perimeter of a rectangle is P=2l+2w where l is the length and w is the width.

Plug in values of l and w in:

P=2(x+8)+2(x-1)

P=2x+16+2x-2

P=4x+14

So the perimeter of the rectangle is 4x+14 units

Hope this helped!

3 0
3 years ago
RIGHT ANSWERS ONLY!!!!!!!!!!<br> HELP PLEASE
Alchen [17]

Answer:

a >2

Step-by-step explanation:

n = 3a-6

n must be positive

3a > 6 for n to be positive

Divide by 3

3a/3 > 6/3

a >2

3 0
3 years ago
Read 2 more answers
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