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3 years ago

#31 Write the expression as a single logarithm Show each step please

Mathematics

1 answer:

Dmitrij [34]3 years ago

7 0

This pic is the answer i believe

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Find the area of the isosceles triangle.

kogti [31]

Answer:

The hight length : h

The base length : a

Apply the Pythagorean theorem in the right triangle :

h² = 13² - (10/2) = 144

h = √144 = 12 cm

S = (a x h)/ 2 = ( 10 x 12 )/2 = 60 cm²

Step-by-step explanation:

5 0

3 years ago

You know that a number 8 less than 60 is the number 52. so, you could rewrite your answer from the previous part as, "what numbe

svetoff [14.1K]

I'm a little confused by your question.

You said 60-8 = 52 which is true.

Then, you asked 4x = 52 in an integer form
x = 52/4
x = 13. (Is that what you're asking?)

I'm not sure if this helps, but please comment if you need any help! Hope this helps though! :D

4 0

4 years ago

A model of a population of a small country is 35,000(1.03)^x. Find the current population if x equals four years since the last

Komok [63]

Based on the model of the population and the amount of years that have passed, the current population is 39,393 people. 

The model of the population is:

= 35,000 x (1.03)^ x

If x is 4 years, slot this into the model to get:

= 35,000 x 1.03⁴

= 35,000 x 1.12550881

= 39,393 people

In conclusion, the current population is 39,393 people.

Find out more at brainly.com/question/1232096.

3 0

2 years ago

Over the past several years, the proportion of one-person households has been increasing. The Census Bureau would like to test t

Ganezh [65]

Answer: z =2.39

Step-by-step explanation:

Given :

$H_0: p \leq0.23\\\\ H_a: p > 0.23$

A random sample of 136 households found that 43 consisted of one person.

i.e. Sample size : n= 136

Sample proportion : $\hat{p}=\dfrac{43}{136}=0.316176470588\approx0.3162$

Test statistic for proportion :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

$\Rightarrow z=\dfrac{0.3162-0.23}{\sqrt{\dfrac{0.23(1-0.23)}{136}}}\\\\\Rightarrow\ z=\dfrac{0.0862}{\sqrt{0.00130220588235}}\\\\\Rightarrow\ z=\dfrac{0.0862}{0.0360860898734}\\\\=2.38873206552\approx2.39$

Hence, the value of the test statistic: z =2.39

5 0

3 years ago

Factor: n^4- 3n^2 + 2 *example: n^2-n-2 factored would be: (n-2)(n+1)*

Tom [10]

Step-by-step explanation:

$( \: n - 1) \times (n + 1) \times \: ( {n }^{ 2 - 2)}$

4 0

3 years ago