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zalisa [80]
4 years ago
12

Need help ASAP thanks

Mathematics
1 answer:
irga5000 [103]4 years ago
4 0

Answer:

b = 74\ cm

Step-by-step explanation:

The volume of a prism is given by the following equation:

Volume = base\ area * height

In our case, the base is a triangle, so the area is given by:

base\ area = base * height_{\Delta}/2

The base of the triangle is 43 cm, the height of the triangle is b, the height of the prism is 24 and the volume of the prism is 38,184, so we have:

base\ area = 43 * b/2 = 21.5b

38184 = 21.5b * 24

b = 38184/(24*21.5)

b = 74\ cm

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3.5 meters

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The correct answer is B.

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I hope this helps. :)
6 0
4 years ago
The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
Paraphin [41]

Answer:

a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

7 0
3 years ago
Which of the following values of x make the following functions equal? y = 2x + 6 and
Papessa [141]

Answer:

the answers Is c. x=4

Step-by-step explanation:

do substitution 2*4+6=14

and 6*4-10=14

6 0
3 years ago
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
Pavel [41]

\boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}

<h2>Explanation:</h2>

Using the quadratic formula:

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ Here: \\ \\ f(x) = x^2 + 5x + 5 \\ \\ \\ So: \\ \\ a=1 \\ \\ b=5 \\ \\ c=5 \\ \\ \\ x=\frac{-5 \pm \sqrt{5^2-4(1)(5)}}{2(1)} \\ \\ x=\frac{-5 \pm \sqrt{25-20}}{2} \\ \\ x=\frac{-5 \pm \sqrt{5}}{2} \\ \\ \\ Two \ solutions: \\ \\ \boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}

<h2>Learn more:</h2>

Quadratic functions: brainly.com/question/12164750

#LearnWithBrainly

8 0
3 years ago
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