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2 years ago

For what value of a does (1/9)^a+1 =81^a+1 x 27^2-a ?-4-226

Mathematics

2 answers:

EastWind [94]2 years ago

4 0

Answer:

- 4

Step-by-step explanation:

Using the rule of exponents

• $a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

• $a^{-m}$ ⇔ $\frac{1}{a^{m} }$

$(\frac{1}{9}) ^{a+1}$ = $9^{-(a+1)}$ = $3^{-2(a+1)}$

and right side

= $3^{4(a+1)}$ × $3^{3(2-a)}$

Hence

$3^{-2a-2}$ = $3^{4a+4}$ × $3^{6-3a}$

$3^{-2a-2}$ = $3^{a+10}$

Equating exponents on both sides gives

a + 10 = - 2a - 2 ( add 2a to both sides )

3a + 10 = - 2 (subtract 10 from both sides )

3a = - 12 ( divide both sides by 3 )

a = - 4

solong [7]2 years ago

3 0

Answer:

the answer to the question you is A on edg

Step-by-step explanation:

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Si la probabilidad de que un recién nacido sea niño es de 1 de dos opciones, representado en fracción 1/2, ¿Cuál es la probabili

Leno4ka [110]

Answer:

1/2 o 50%

Step-by-step explanation:

debemos partir de la presuncion que un bebe puede ser niño o niña uinicamente, o sea la P(niño) + P(niña) = 1

no existen los bebes que son niños y niñas al mismo tiempo, eso quiere decir que es una opcion o la otra

P(niña) = 1 - P(niño) = 1 - 1/2 = 1/2 = 0.5 = 50%

8 0

1 year ago

How to solve this problem step by step. Make brainliest answer if its done. Please

sladkih [1.3K]

D is halfway between A and B

so the coordinates of D are (2,2)

E is halfway between A and C so the coordinates of E are (-1,1)

now you need to find the gradient/slope of DE and BC using the formula:

$\frac{y2 - y1}{x2 - x1}$

<h3>Gradient of DE: </h3>

SUB IN COORDINATES OF D AND E

$\frac{1 - 2}{ - 1 - 2}$

therefore the gradient of DE is 1/3.

<h3>Gradient of BC:</h3>

SUB IN COORDINATES OF B AND C

 $\frac{ - 2 - 0}{ - 3 - 3}$ 

therefore the gradient of BC is -2/-6 which simplifies to 1/3.

<h3>therefore, BC and DE are parallel as they both have a gradient/slope of 1/3 and parallel lines have the same gradient</h3>

6 0

3 years ago

1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister? (a) Wr

Jlenok [28]

A)
Kim's age=k
Sister's age=s
k=2s
k+s=36
b)
k=2s
k+s=36
k=36-s
2s=36-s
3s=36
s=12
12*2=24
Kim is 24 and her sister is 12

Hope this helps :)

6 0

3 years ago

Read 2 more answers

For selected years, the national health care expenditure, in billion of dollors can be modelled by H=29.57e^0.0970t, remains acu

Sliva [168]

Answer:

The correct answer is 54.76 years.

Step-by-step explanation:

The national health care expenditure (H) , in billion of dollars is modeled by

H = 29.57 × $e^{0.0970t}$ .

To measure the time before which national health expenditure reach 6000 billion dollars.

Thus putting the value of H = 6000 in the above modeled equation we get,

⇒ 6000 = 29.57 × $e^{0.0970t}$

⇒ $\frac{6000}{29.57}$ = $e^{0.0970t}$

⇒ 202.908 = $e^{0.0970t}$

Taking logarithm with the base of e (㏑) both sides we get,

⇒ ㏑ 202.908 = ㏑ $e^{0.0970t}$

⇒ ㏑ 202.908 = 0.0970 × t

⇒ 0.0970 × t = 5.312

⇒ t = $\frac{5.312}{0.0970}$

⇒ t = 54.76.

Thus the total time required before which national health expenditure reach 6000 billion dollars is 54.76 years.

3 0

2 years ago

a major metroplitan newspaper selected a simple random sample of 1,600 readers from their list of 100,000 subscribers. they aske

Arisa [49]

Answer:

The 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.3685, 0.4315).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.