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3 years ago

7

What is the surface area of the cube

2 answers:

Firlakuza [10]3 years ago

7 0

Your answer to this question is C

Blizzard [7]3 years ago

6 0

Hello!

To find the surface area of a cube you use the equation

$6 a^{2}$

a is a side length

Put in the values we know

$6* 9^{2}$

Square the 9

6 * 81 = 486

The answer is $C)486 mm^{2}$

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Pls I need help ASAP <br><br> What is 2.5 - 1.4

Tema [17]

Answer:

1.1

Step-by-step explanation:

6 0

3 years ago

The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5

Delvig [45]

Answer:

B) 25

Step-by-step explanation:

Given exponential function:

$f(x)=3(5)^x$

The growth factor between $x=1$ and $x=3$ is 25.

To find the growth factor between $x=5$ and $x=7$

Solution:

The growth factor of an exponential function in the interval $x=a$ and $x=b$ is given by :

$G=\frac{f(b)}{f(a)}$

We can check this by plugging in the given points.

The growth factor between $x=1$ and $x=3$ would be calculated as:

$G=\frac{f(3)}{f(1)}$

$f(3)=3(5)^3$

$f(1)=3(5)^1$

Plugging in values.

$G=\frac{3(5)^3}{3(5)^1}$

$G=\frac{(5)^3}{(5)^1}$ (On canceling the common terms)

$G=(5)^{(3-1)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Similarly the growth factor between $x=5$ and $x=7$ would be:

$G=\frac{f(7)}{f(5)}$

$f(7)=3(5)^7$

$f(5)=3(5)^5$

Plugging in values.

$G=\frac{3(5)^7}{3(5)^5}$

$G=\frac{(5)^7}{(5)^5}$ (On canceling the common terms)

$G=(5)^{(7-5)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Thus, the growth factor remains the same which is =25.

3 0

2 years ago

Read 2 more answers

What is the equation of the line passing through the points (4, -7.5) and (6, -3.5) in slope-intercept form?

Ratling [72]

Answer:

Your answer will be

y=2x-15.5

Step-by-step explanation:

Hi, there you must know the slope-intercept form which is

y=mx+b

m=slope

b=y-intercept

You can also use

the slope formula which is

$\frac{y_2-y_1}{x_2-x_1}$

in this case

it will look like this

$\frac{-7.5-(-3.5)}{6-4}$ = $\frac{-4}{2}$ =-2

So the slope is -2

Now we will find the y-intercept

-7.5=2(4)+b

-7.5=8+b Subtract 8 both sides

-15.5=b

Your y-intercept is -15.5

Hope this helps

6 0

2 years ago

Last year, 400 signed up to take a virtual kickboxing class. This year, there was a 5% increase in registrations. How many peopl

ale4655 [162]

Answer:

420 people

Step-by-step explanation:

400*1.05=420

3 0

3 years ago

424.25 subtract 379.4

igor_vitrenko [27]

The answer is 44.85. Hope this helped! :)

7 0

3 years ago

Read 2 more answers