1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
exis [7]
3 years ago
5

The function N(X) = 90(0.86)* + 69 can be used to predict the temperature of a

Mathematics
1 answer:
dezoksy [38]3 years ago
4 0

Answer: -8.93

Step-by-step explanation:

Given the function:

N(X) = 90(0.86)^x+ 69

X in the interval [0, 6]

For X = 0

N(0) = 90(0.86)^0 + 69

90 + 69 = 159

For X = 6

N(6) = 90(0.86)^6 + 69

90(0.404567235136) + 69

= 105.41105116224

Therefore, average change of change in temperature ;

(temp 2 - temp 1) / ( time 2 - time)

(105.41105116224 - 159) / (6 - 0)

= - 53.58894883776 / 6

= - 8.93149147296

= - 8.93

You might be interested in
Please help me with this question
Daniel [21]

Answer:

1/2

Step-by-step explanation:

if you look at a unit circle, sin(\pi/6) is \sqrt{3}/2 so cos of (\pi/6/2) would be \pi/3, and cos of (\pi/3) is 1/2

8 0
3 years ago
under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box​
Anestetic [448]
<h2>3</h2>

Step-by-step explanation:

The equation of line passing through the two points is \frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}

When substituted,the equation becomes \frac{y-6}{x-2}=\frac{18-6}{6-2}

which when simplified is y=3\times x

The line clearly passes through origin.

The distance between two points is \sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}

Distance between origin and (2,6) is \sqrt{40}.

Distance between origin and (6,18) is \sqrt{360}

Scale factor is  \frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}

So,scale factor is \frac{\sqrt{360} }{\sqrt{40} }

which when simplified becomes 3.

6 0
3 years ago
Help me<br> On this pleaseee
Evgen [1.6K]
2 rectangle shaped
1) Length = 160 mi ; Width = 40 mi
2) Length = 440 mi - 160 mi ; Width = 240 mi - 70 mi

1 triangle shape
1) base = 70 mi ; height = 440 mi - 160 mi

Area Rectangle 1 = 160 mi * 40 mi = 6,400 mi²
Area Rectangle 2 = 280 mi * 170 mi = 47,600 mi²
Area Triangle 1 = ((440 mi - 160 mi) * 70mi)/2 = (280mi * 70mi)/2 = 9,800 mi²

Total Area = 6,400 mi² + 47,600 mi² + 9,800 mi² = <span>63,800 mi²</span>
4 0
3 years ago
The function g(x) is shown in the graph at right. The function g(x) is a transformation of the parent function f(x)=x^2. Based o
Ivahew [28]

Answer: choice B

Step-by-step explanation:

6 0
2 years ago
A random sample of size 15 taken from a normally distributed population revealed a sample mean of 75 and a sample variance of 25
GREYUIT [131]

Answer:

The upper limit of a 95% confidence interval for the population mean would equal 83.805.

Step-by-step explanation:

The standard deviation is the square root of the variance. Since the variance is 25, the sample's standard deviation is 5.

We have the sample standard deviation, not the population, so we use the t-distribution to solve this question.

T interval:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 15 - 1 = 14

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of 0.95(t_{95}). So we have T = 1.761

The margin of error is:

M = T*s = 1.761*5 = 8.805.

The upper end of the interval is the sample mean added to M. So it is 75 + 8.805 = 83.805.

The upper limit of a 95% confidence interval for the population mean would equal 83.805.

4 0
3 years ago
Other questions:
  • The rectangle below has an area of 81-x^281−x 2 81, minus, x, start superscript, 2, end superscript square meters and a width of
    10·1 answer
  • A manufacturing process is designed to produce bolts with a 0.75-inch diameter. Once each day, a random sample of 36 bolts is se
    15·1 answer
  • 10/4 divided 9/2 I wanna know what does this equal .
    7·2 answers
  • Several years​ ago, 43​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
    5·1 answer
  • The formula for the volume of a cube is V = s3.
    5·1 answer
  • Isabella collects stickers of her collection, 5/12 Were animal stickers. of the remainder, 5/14 Are flower stickers. what fracti
    10·2 answers
  • A waitress earned $9 per hour at her job plus an additional $75 in tips on Friday. She earned more than $150 total. Which inequa
    13·2 answers
  • What is 1 + 1???????????????????????????????????????????????????
    7·2 answers
  • What is the length of the red segment in the graph below?
    7·1 answer
  • The perimeter of a “STOP” sign is 100 in. What is the length of each side?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!