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3 years ago

14

What times what makes 23

1 answer:

TiliK225 [7]3 years ago

5 0

8 times 3 equals 23 and that is one of the answers

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WILL MARK BRAINLIST!!What is the measure of one interior angle in a regular pentagon?

never [62]

The answer is 108°

A regular pentagon has all its five sides equal and all five angles are also equal. Hence, the measure of each interior angle of a regular pentagon is given by the below formula. Measure of each interior angle = [(n – 2) × 180°]/n = 540°/5 = 108°.

8 0

2 years ago

Read 2 more answers

Emma has a gift box in the shape of a cube. Each side of the box measures 9 centimeters. What is the volume of the gift box?

BARSIC [14]

Answer:

729

Step-by-step explanation:

Each side of the cube measures 9cm

The volume of a cube is V^3

Therefore the volume can be calculated as follows

= 9^3

= 729

Hence the volume is 729

3 0

3 years ago

When rabbits were introduced to the continent of Australia they quickly multiplied and spread across the continent since there w

Lady bird [3.3K]

Answer:

a. $y=6(1.7472)^x$

b. $y=6e^{0.558t}$

c.13.3 months

Step-by-step explanation:

a.-Given the first term at $t_0$ is 6 and the second term at $t_3$ is 32.

-Let's take rabbit population as a function of time to be

$y=ab^x$

where y is the population at time x and a the initial population at $t_0\\$

#We substitute our values to calculate the value of the constant b:

$y_x=ab^x\\\\y_3=ab^3\\\\32=6b^3\\\\b=1.472$

#Replace b in the population function:

$y=ab^x, b=1.7472,a=6\\\\\therefore y=6(1.7472)^x$

Hence, the regression for the rabbit population as a function of time x is $y=6(1.7472)^x$

b. The exponential function in terms of base $e$ is usually expressed as:

$A=A_0e^{kt}$

Where:

$A_0$ -is the initial population at $t_o$

$A$ -is the population at time t.

$k-$ is the exponential growth constant.

$e-$ the exponent

Our function in terms of base exponent is rewritten as:

$y=A_0e^{kt}$

#Substitute with actual figures to solve for t:

$y=A_0e^{kt}, y=32, xt=3, A_0=6\\\\32=6e^{3k}\\\\3k=In (32/6)\\\\k=0.5580$

Hence, the regression equation in terms of base e is $y=6e^{0.558t}$

c. We substitute y with any number higher than 10,000 to estimate the time for the rabbits to exceed 10,000.

-We know that $y=6e^{0.558t}.$

Therefore we calculate t as(take y=10001):

$y=6e^{0.558t}, y=10001\\\\10001=6e^{0.558t}\\\\1666.8333=e^{0.558t}\\\\0.558t= In 1666.8333\\\\t=13.2951$

Hence, it takes approximately 13.3 months for the population to exceed 10000

3 0

4 years ago

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional

yaroslaw [1]

Answer:

The statement provided is True.

Step-by-step explanation:

The exponential function representing growth is given as follows:

$y=y_{0}\cdot e^{kt}$

Here,

<em>y</em> = final value

<em>y</em>₀ = initial value

<em>k</em> = growth rate

<em>t</em> = time passed

As the function $e^{x}$ is increasing, then the exponential function representing growth is also increasing.

Thus, the statement provided is True.

7 0

3 years ago

adult tickets to space city amusement park cost x dollars. childrens tickets cost y dollars.the henson family bought 3 adult and

ASHA 777 [7]

See the pic-the top two equations are your "system" of equations to solve

8 0

4 years ago