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3 years ago

PLEASE ANSWER ASAP

Mathematics

1 answer:

Nastasia [14]3 years ago

7 0

Answer:

y = 4 $(2)^{x}$

Step-by-step explanation:

For an exponential function in standard form

y = a $(b)^{x}$

To find the values of a and b, use ordered pairs from the table

Using (0, 4 ), then

4 = a $b^{0}$ ( $b^{0}$ = 1 ), so

a = 4

y = 4 $b^{x}$

Using (1, 8 ), then

8 = 4 $b^{1}$ = 4b ( divide both sides by 4 )

2 = b

Thus

y = 4 $(2)^{x}$ ← exponential function

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Answer:

perpendicular

Step-by-step explanation:

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2 years ago

A movie rental club charges a one time fee of $25 to join and $2 for every movie rented which equation could represent how much

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Answer:

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Step-by-step explanation:

We are given that a movie rental club charges a one time fee of $25 to join and $2 for every movie rented.

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2 years ago

What is the true solution to the equation below? In e^in x + in e^in x^2 = 2 in 8

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To solve the given equation, w need to review some rules:
$(1) \ ln \ e = 1 \\ 
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(3) \ ln \ a + ln \ b = ln \ (ab) \\
(4) \ ln \ a - ln \ b = ln \ \frac{a}{b} \\$

The given equation is :
$ln \ e^{ln \ x} + ln \ e^{ln \ x^{2}} = 2 \ ln \ 8$
$ln \ x * ln \ e + ln \ x^{2} * ln \ e = 2 \ ln \ 8$ ⇒⇒⇒⇒ rule (2)
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$ln \ ( x* x^{2} ) = ln \ 64$ ⇒⇒⇒⇒ rule (3)
removing the nature logarithm from both sides

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2 years ago

Read 2 more answers

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Answer:

Explained below.

Step-by-step explanation:

(1)

The confidence level is, 91%.

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$\text{Confidence level}\% =(100-\alpha \%)\\\\91% = 100-\alpha \%\\\\\alpha \%=100-91\%\\\\\alpha \%=9\%\\\\\alpha =0.09$

(2)

As the population standard deviation is provided, i.e. σ = 256 psi, the z value would be appropriate.

The z value for α = 0.09 is,

z = 1.69

(3)

Compute the 91% confidence interval as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

$=3000\pm 1.69\cdot\frac{256}{\sqrt{70}}\\\\=3000\pm 51.71\\\\=(2942.29, 3057.71)$

(4)

The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.

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2 years ago

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Oksana_A [137]

Answer:

The consecutive negative integers are -3, -4 and -5.

Step-by-step explanation:

Let the three consecutive negative integers be k, (k-1) and (k -2)

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2 years ago