Answer:
Step-by-step explanation:
the number of fish in a lake decreasing by 400 every year,as described by the function below. f(1)=8200 f(n+1)=f(n)-400 what will be the value
The number of fish in the lake is an illustration of arithmetic sequence
The value of f(2) is 7800, and it represents the number of fish in the lake, the second year
The model is given as:
[tex]\mathbf{f(n+1) = f(n) - 400}[/tex]
Where [tex]\mathbf{f(1) = 8200}[/tex]
To calculate f(2), we simply take n as 1.
i.e. n = 1
Substitute 1 for n in [tex]\mathbf{f(n+1) = f(n) - 400}[/tex]
So, we have:
[tex]\mathbf{f(1+1) = f(1) - 400}[/tex]
Add 1 and 1
[tex]\mathbf{f(2) = f(1) - 400}[/tex]
Substitute 8200 for f(1)
[tex]\mathbf{f(2) = 8200 - 400}[/tex]
Subtract
[tex]\mathbf{f(2) = 7800}[/tex]
Hence, the value of f(2) is 7800
Read more about sequence at:
https://brainly.com/question/18109692
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $35 and same-day tickets cost $20 . For one performance, there were 65 tickets sold in all, and the total amount paid for them was $1900 . How many tickets of each type were sold?
Answer:
600 Advance tickets 1,300 same-day tickets
Step-by-step explanation:
65x20=1,300
1900-1,300=600
Sketch the graph of each line by identifying the x-and y-intercepts.
Answer:
Slope: -5/3 , Y-intercept: (0,5)
Step-by-step explanation:
Vote brainliest!
The unit circle has a radius of 1 unit and is centered at the origin. It is dilated so that it passes through the point (4, 0). What is the scale factor of dilation? 3 4.
Dilation involves changing the size of a shape (i.e. a circle)
The scale of dilation is 4
The circle passes through the origin.
So, one of the points is (0,0)
When dilated it passes through the point (4,0).
The scale factor (k) is calculated by calculating the distance between the new point and the old point.
So, we have:
[tex]\mathbf{k = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}}[/tex]
This gives
[tex]\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}[/tex]
Simplify
[tex]\mathbf{k = \sqrt{16 +0}}[/tex]
Add 16 and 0
[tex]\mathbf{k = \sqrt{16}}[/tex]
Take the square root of 16
[tex]\mathbf{k =4}[/tex]
Hence, the scale of dilation is 4
Read more about dilation at:
https://brainly.com/question/13176891
Find the perimeter. Simplify the answer
Answer:
10s-14
Step-by-step explanation:
Perimeter of rectangle = 2s+2(4s-7)
= 2s+8s-14
= 10s-14
= > Perimeter of rectangle = 2(l + b)
= > 2(s + 4s - 7)
= > 2(5s - 7)
= > 10s - 14...ans
Step-by-step explanation:
Hope it Helps you!!What is the estimate for 38? in Estimate roots?
it would be great if you explain it in english to me,i understand it better
[tex] \white{ \rule{40pt}{555555pt}}[/tex]
60 millions barrels and 34% gas and 29% diesel how many barrels are there total
Answer:
31800000
Step-by-step explanation:
For the expression five minus 5X to have a negative value what must be true about the value of X
Answer:
x=0
Step-by-step explanation:
honestly this is just filler no reason to explain it hoenstly
Fill in the blank
Never gonna ____ ___ ___, Never gonna let you down, Never gonna run around and _____ you.
Answer:
give you up desert you
Step-by-step explanation:
give you up desert you
Answer:
NEVER GONNA GIVE YOU UP
AROUND AND DESERT YOU
Extra for fun: NEVER GONNA LET YOU CRY NEVER GONNA SAY GOODBYE (i think)
Step-by-step explanation:
Just is correct trust me exept the extra extra im not fully sure
PLS HELP !!!
A bus journey from a town to a city
takes 2 hour 38 minutes.
complete the timetable opposite below
TIMETABLE: (I tried to type it)
Depart : Arrive :
a) 05 00 ______
b) 07 20 ______
c) _____ 11 18
d) _____ 13 36
e) 15 45 _____
f) 18 22 _____
g) _____ 21 17
h) _____ 23 25
I'll mark as branliest if u answer :))
Step-by-step explanation:
I guess we only need to add 2 hours and 38 minutes to the depart times to get arrival, and deduct 2 hours and 38 minutes from arrival to get departure.
a) 05 00 -> 07 38
b) 07 20 -> 09 58
c) 08 40 -> 11 18
d) 10 58 -> 13 36
e) 15 45 -> 18 23
f) 18 22 -> 21 00
g) 18 39 -> 21 17
h) 20 47 -> 23 25
what is (997X5) + (6X-979) divided by 2 =?????
Answer: 2048 I just used a calculator
Step-by-step explanation:
Answer:
2048.
Step-by-step explanation:
(997X5) + (6X-979) / 2
= 4985 + -5874/ 2
The multiply is done before the add ( Order of operations):
= 4985 + -2937
= 2048
It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?
Answer:
3/1 tsp. or 3 tsp.
Step-by-step explanation:
3/4 times 4
The perimeter of a square is 48 cm. What is the length of each side of the square?
Answer:
12 cm
Step-by-step explanation:
48/4 is 12 since there is 4 sides and all of them are equal.
Answer:
the answer is 192
Step-by-step explanation:
48 + 48 +48 +48 since a square is 4 sided and you add it all together which gets you 192.
plz help!:> also your so awesome, and I hope you have an amazing day!
What are all the factors of 54?
1, 2, 3, 6, 9, 18, 27, 54
1, 2, 6, 9, 27, 54
1, 2, 6, 9, 26. 54
1, 2, 3, 6, 9, 18, 26, 54
Answer:
1,2,3,6,9,18,27,54
Step-by-step explanation:
1 x 54 = 54
2 x 27 = 54
3 x 18 = 54
6 x 9 = 54
9 x 6 = 54
18 x 3 = 54
27 x 2 = 54
54 x 1 = 54
What is the slope intercept equation from the graph?
Please help me thank u!
Answer:
y = -3/2x+3
Step-by-step explanation:
Pick two points on the line
(0,3) and (2,0)
Using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 0-3)/(2-0)
= -3/2
The y intercept is 3
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -3/2x+3
what is the point in the middle of a circle called
Answer:
Step-by-step explanation:
Center: The center of a circle is defined as the point in the middle of the circle. The points that make up the curve that is the circle are all equidistant from the center point.
Answer:
Center of the circle.
Step-by-step explanation:
Help me
Will mark brainliest
Do not give the answer like this
‘answer in a file’ otherwise I will report
More points will be given
My question is Q7.
here u go! sorry I didn't give an exact answer but i hope this works bc it did for me
why is the square root of 25 a rational number?
Answer:
Because √25 = 5 and 5 can be written in the form of a fraction 5/1.
Step-by-step explanation:
It proves that √25 is rational.
Answer:
the square toot of 25 is = 5
Step-by-step explanation:
therefore
5√5
= 25
√25 is equal to 5
= 5
i hope it helps
Simplify 80−−√
4 5√
5 16−−√
5 4√
16 5√
Answer:
The answer is the 3rd choice
Step-by-step explanation:
Which two integers is 129 between?
Answer:
128 130
Step-by-step explanation:
128 129 130
help me brain pt Part 4
Answer:
Its an acute bc an acute angle is less than 90 degree
sum of all positive integers up to 1000
Step-by-step explanation:
995. Therefore, the sum of all positive integers up to 1000, which are divisible by 5 and not divisible by 2 is 50000.
Blair's average on the first five in-class tests is 67. If this is not pulled up to at least a 70,
Blair will not be allowed to watch any more of their favorite Netflix shows. To avoid
losing those access privileges, what is the lowest score Blair can afford to earn on the last
in-class test? Assume that all tests carry equal weight.
Answer:
85
Step-by-step explanation:
x/5 = 67
x=335
(x+y)/6 = 70
(335+y)/6 = 70
335+y=420
y=85
Answer:
85
Step-by-step explanation:
Average is calculated as
average = [tex]\frac{sum}{count}[/tex]
Here
[tex]\frac{sum}{5}[/tex] = 67 ( multiply both sides by 5 )
sum = 335
let x be the mark required to raise average to 70 , then
[tex]\frac{335+x}{6}[/tex] = 70 ( multiply both sides by 6 )
335 + x = 420 ( subtract 335 from both sides )
x = 85
Blair must score at least 85 on his last test
Fully Factorise : 8x^2+6x
Answer:
2(4+3) or undefined
Step-by-step explanation:
lmk if this helped
Graph the following features:
Slope = -3/4 y intercept: -3
Answer:
The graph is attached
Can you help me find the answer
Answer:
quadrilateral
and
pentagon
Answer:
1. Trapezium
2.Pentagon
(Irregular)
A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 44 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. Patients in the treatment group ate an average of 52.1 grams of biscuits, with a standard deviation of 45.1 grams, and patients in the control group ate an average of 27.1 grams of biscuits, with a standard deviation of 26.4 grams. Do these data provide convincing evidence that the average food intake (measured in grams of biscuits consumed) is different for the patients in the treatment group? Assume that conditions for inference are satisfied.
Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.
At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
Two groups of 22 patients, hence, the standard errors are:
[tex]s_1 = \frac{45.1}{\sqrt{22}} = 9.6154[/tex]
[tex]s_2 = \frac{26.4}{\sqrt{22}} = 5.6285[/tex]
The distribution of the differences is has:
[tex]\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]t = \frac{25 - 0}{11.14}[/tex]
[tex]t = 2.2438[/tex]
The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.
Using a t-distribution calculator, this p-value is of 0.0302.Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.
A similar problem is given at https://brainly.com/question/25600813
PLEASE HELP ME I NEED THIS DONE RIGHT NOW
I know it says the answers are on the back but the answers aren’t there!!