All categories

3 years ago

Plzz helpp guys

Mathematics

1 answer:

Kitty [74]3 years ago

6 0

Answer:

$y = 1500(0.024)^t$

Step-by-step explanation:

Given

$a = 1500km$ -- initial area

$b = 2.4\%$ -- rate

$t = time$ --- (years)

Required

Represent as an exponential function

An exponential function has the form:

$y = ab^t$

Where

$a = initial\ value$

$b = rate$ and $b \ne 1$

$t= time$

Substitute values for a and b, we have:

$y = 1500 * (2.4\%)^t$

Convert percentage to decimal

$y = 1500 * (0.024)^t$

$y = 1500(0.024)^t$

Hence, the exponential function that represents the scenario is: $y = 1500(0.024)^t$

You might be interested in

PLS HELP!! WILL GIVE BRAINLIEST!!

docker41 [41]

Answer:

____

x+7

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A caterpillar started at point (−2.5, −5.5) on a coordinate plane. She crawled in a straight line through the origin to point (4

alexgriva [62]

Answer:

The value of y is $99$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Is a proportional variation

Find the value of k

with the point $(-2.5,-5.5)$

$k=y/x=-5.5/-2.5=2.2$

The equation is equal to

$y=2.2x$

For $x=45$

substitute

$y=2.2(45)=99$

6 0

3 years ago

Read 2 more answers

Look at the figure. If m/_ L= 58, find /_ LKJ

kompoz [17]

Answer:

64°

Step-by-step explanation:

KJ = KL, KM is common, and ∠JKM = ∠LKM, so the triangles are congruent.

∴ ∠ J = ∠L = 58°

The three angles of a triangle add up to 180°.

∠J + ∠L + ∠LKJ = 180°

58° + 58° + ∠LKJ = 180°

116° + ∠LKJ = 180°

∠LKJ = 180° - 116°

= 64°

4 0

3 years ago

2 3/5 x 2 1/3 nearest whole number

slamgirl [31]

Answer:

to the nearest whole number is 3

4 0

4 years ago

Read 2 more answers

The percent defective for parts produced by a manufacturing process is targeted at 4%. The process is monitored daily by taking

vladimir2022 [97]

Answer:

A sample of 767 is needed.

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.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

14 defectives out of 160, so $\pi = \frac{14}{160} = 0.0875$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

How many units would have to be sampled to be 95% confident that you can estimate the fraction of defective parts within 2% of the percentage?

We would need a sample of n.

n is fround when $M = 0.02$ . So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.0875*0.9125}{n}}$

$0.02\sqrt{n} = 1.96\sqrt{0.0875*0.9125}$

$\sqrt{n} = \frac{1.96\sqrt{0.0875*0.9125}}{0.02}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.0875*0.9125}}{0.02})^2$

$n = 766.8$

Rounding up

A sample of 767 is needed.

3 0

3 years ago