Answer:
k=100, n=3, 1.5625, 10
Step-by-step explanation:
To find n and k, we can plug x and z in.
First we can try this for (1,100). We will get:
[tex]100=\frac{k}{1^{n} }[/tex]
Since 1 to any power is 1, we can assume that the denominator is 1 and therefore k=100.
Armed with k=100, we can plug numbers into the second equation.
[tex]12.5=\frac{100}{2^{n} }[/tex]
Moving [tex]{2^{n} }[/tex] to the left side, we get:
[tex]2^n=\frac{100}{12.5} }=8[/tex]
therefore we can solve and we see that n=3.
We can do the same for x=4, but since we have n, k, and x, we can plug these in to get z
[tex]z=\frac{100}{4^{3}} =1.5625[/tex]
We will do the same as previous but instead plug in x
[tex]\frac{1}{10}=\frac{100}{x^{3} }[/tex]
We isolate [tex]x^{3}[/tex] and get
[tex]x^{3} =1000[/tex]
Therefore x=10
In a computer tape library there are two racks with 50 tapes per rack. On Monday there are 35 tapes in use, on Tuesday 60, and on Wednesday 25. What fraction on the average is in use for the 3 days
Based on the number of tapes used on those days and the number of tapes in the rack, the fraction on the average used was 2/5
The average tapes used in those 3 days was:
= (35 + 60 + 25) / 3
= 120 / 3
= 40 tapes
The total number of tapes that can be used are:
= 50 + 50 per rack
= 100 tapes
The fraction of the average is:
= 40 / 100
In the lowest term this is:
= 2 / 5
In conclusion, the fraction is 2/5
Find out more about fractions at https://brainly.com/question/233783.
Simplify. x+y -x²-y²/x-y
The cost C to produce x number of tennis rackets is C = 190 + 18. The tennis rackets are sold wholesale for $23
each, so revenue R is given by R = 23x. Find how many tennis rackets the manufacturer needs to produce and
sell to break even.
38 tennis rackets or
43 tennis rackets or
19 tennis rackets or
33 tennis rackets
Answer:
19 tennis rackets
Step-by-step explanation:
Is 3x - y = -6 an equation for this graph? EXPLAIN how you know. Hint: try a test point like the the y-intercept to see if it makes a true statement.
You didn't provide any graphs.
please someone help me this is the third time i have had to post this question bc of bots
Answer: It,ll increase
Step-by-step explanation:
Answer:
Add all of the numbers together then multipy them by 25
Step-by-step explanation:
35X25=875
A researcher testing a hypothesis that the population mean is 25 takes a sample of size 36 and obtains a sample mean of 23 with an estimated standard error of 4. What is the observed value of the test statistic
Answer:
The test statistic is 23
Step-by-step explanation:
Best way to understand this is to think of a sample and it's purpose;
You take a sample to get information that can be extrapolated to apply to the whole population;
So, for example, you have a factory making light bulbs, and you want to find out how long they last;
You would take a number of light bulbs from the production line, i.e. a sample, and test these;
It would be impossible to test every light bulb as this would take too long and there would be none left unused to sell, i.e. it would not be feasible or viable to do;
You would then find a mean of these times from the sample, and then extrapolate and assume it to be the duration of any light bulb coming off the production line;
The sample is the handful of light bulbs chosen to test;
The test statistic refers to the quantity or value, calculated from the sample data, this would be the mean light bulb duration in the light bulbs example;
Similar and yet different to a test statistic, a population parameter refers to a quantity or value calculated from population data;
A population refers to all members of a particular group of objects/items, so in the example, it would be all the light bulbs produced;
The population parameter would refer to the mean calculated based on data from the population (i.e. all the light bulbs produced);
Realistically, it is impossible to determine a population since it would be unviable in the practically all cases, as we can see in the example;
This value is almost always theoretical and would be assumed from a test statistic in any real scenario.
What’s the 16th term for 32,27,22,17
Answer:
-43
Step-by-step explanation:
By staring at it for a while you can tell that you're losing 5 every step. You can write the succession as [tex]a_n = 32-5n[/tex] (please notice the first terms starts when [tex]n=0[/tex], not 1!). The 16th term happens at [tex]n=15[/tex]:
[tex]a_1_5=32-5(15) = -43[/tex]
Which graph represents a function?
Answer:
just the first on. upper left corner
y<-2/3 x-1 graphing the inequality
Answer:
y < − 2/3x − 1
Step-by-step explanation:
Find the measure of x.
48.99
138
X
x = [?]
Round your answer to the nearest tenth.
Enter
Tan(48.9) = x/138
X = 138 x tan(48.9)
X = 158.2
I need help with problem.
Answer:
Reflection across the x-axis
Step-by-step explanation:
Rule of thumb: If the figure is diagonal, it is x-axis, but if it is horizontal, it is the y-axis.
) The price of broccoli is $1.25 per pound. Let y be the total cost in dollars of buying a pounds
of broccoli
.) Which equation represents this situation?
y = 1.252
• Which graph represents the situation?
Broccoli Prices
Broccoli Prices
Broccoli Prices
(4,5)
.
(3.4.5)
15
15
(5.
(3.3.75
(2,3)
(3.75,3)
(2.2.5)
3
5 25
8 2
(2.5.2
1.5 (1.1.25)
(1.1.5)
(0.5, 0.75)
(1.25.1)
0.5
0.5
0 05 1 1.5 2 25 3 3.5 4 US 5
Amount of Broccoli (b)
0 0.5 1 1.5 2 2.5 3 3.5 4 155
Amount of Broccoli (b)
0 05 1 15 2 2.5 3 3.5 5 5
Amount of Broccoli (b)
DONE
Answer:
The graph that represents the situation is A
Step-by-step explanation:
Which is a composite number? A.97 B.89 C.95 D.13
PLEASE I REALLY NEED THE CORRECT ANSWER RIGHT NOW!!!!
Answer: C. 95 is a composite number.
Step-by-step explanation:
You can look at the ones place of each number to see if any end in 0, 2, 5, or any other digit that indicates that the number is not prime. Since 95 ends in a 5, it can be divided by 5, making it have more factors than 1 and itself. Therefore, 95 is the composite number of the list of numbers.
Answer:95
Step-by-step explanation:composite numbers are numbers that have more factors than 1 and itself, factors are numbers you can multiply to get a number. 95 is a composite number since 1,95, AND 5 are all factors of 95 making it a composite number
Which of the following is an example of a ratio variable?
A-Martha is the same gender as Ruth
B-Mary's IQ is 115 and Janet's is a 90, which means Mary's IQ is slightly higher than Janet's
C-Sam is twice the age of his son
D-George and Harry attend religious services about the same amount
(9/5)^3
I have no idea
Answer:
5.832
Step-by-step explanation:
The Suarez family paid $16.00 for 4 movie tickets. How much would they have paid for 12 tickets?
Answer:
$48
Step-by-step explanation:
Each ticket costs 4 dollars.
this is long division… please help
A square plywood platform has a perimeter which is 11 times the length of a side,
decreased by 42. Find the length of a side. (P = 4L)
Answer:
Step-by-step explanation:
a forrest covers an area of 2400 km^2. if each year the area decreases by 8.5%, what will the area be after 14 years? round answer to nearest square kilometer. (please explain how you get the answer so i can do future questions myself! thank you :) )
Answer:
1581.62810745 square km
Step-by-step explanation:
P = Initial Area = 2500 square km.
r = rate of decreasing = 8.75%
n = number of years = 5 years
A = 2500 ( 1 - 8.75/100)^5
A = 2500 {(100–8.75)/100}^5
A = 2500 (91.25/100)^5
A = 2500 (0.9125)^5
A = 2500 * 0.63265124298
A = 1581.62810745
A board is 81.28 centimeters long. How long is the board in inches? Use the following conversion: 1 inch is 2.54 centimeters
PLEASE HELP ME NOW!!! I WILL MARK U AS BRAINLIEST
[tex]\huge \bf •Answer •\\ [/tex]
1188 g
[tex]\huge \bf •Solution •\\ [/tex]
We know,
[tex]\sf \dfrac{mass \: \: of \: \: solute}{mass \: \: of \: \: solution} \times 100= concentration \: \: of \: \: solution \\ = > \sf \dfrac{mass \: \: of \: \: solute}{mass \: \: of \: \: solute + mass \: \: of \: \: solvent} \times 100= concentration \: \: of \: \: solution[/tex]
Given, concentration of solution = 1%
Mass of sugar (solute) = 12 g
Let the mass of water (solvent) be x.
Therefore,
[tex]\sf \dfrac{12g}{12g + x} \times 100= 1 \\ \sf = > 1200g= 12g + x \\ \sf= > (1200 - 12)g = x \\ \sf = > x = 1188g[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
-6
Which graph represents function g if g(x)= f(2x)
Answer:
2
Step-by-step explanation:
Help help help math math help
Answer:
63°
Step-by-step explanation:
Angle 2 is congruent in angle that has 63°
Refer to the attached pic
s.p. is 4000, profit is 25% than find c.p.please explain itt
[tex] \sf= \frac{100}{100 + 25} \times 4000 \\ = \frac{100}{125} \times 4000 \\ = \frac{4}{5} \times 4000 \\ = 4 \times 800 \\ = 3200[/tex]
[tex] \huge \sf \: Answer[/tex]
The cost price is 3200.
Hope you could get an idea from here
Doubt clarification- use comment section.
Identify the parent function. 5 -5 5 -5 A. Cube root
A certain hybrid car with a 16 gallon gas tank can travel 35 miles on battery alone and then it uses its gas. The car can then travel 45 miles per gallon of gas used. Assume the car starts with a full tank of gas. Fill in the missing values.
Answer:
X miles ( 35, 125, 265, 310)
m = 35 + 45x
755
Step-by-step explanation:
Hope this helps, btw have an awesome day
Find the quotient.
32 ÷ 0.08
Answer:
The quotient of the equation is 400
Answer:
hi
Step-by-step explanation:
the correct answer is 400
On a human, what is the ratio of arms to fingers?
Ratio:-
[tex]\\ \sf\longmapsto \dfrac{2}{20}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{10}[/tex]
[tex]\\ \sf\longmapsto 1:10[/tex]
PLEASE HELP:
Check for understanding:
Answer:
P = 106
A = 330
Step-by-step explanation:
= 2(l+w) (perimeter of rectangle)
= 2·(18+15)
= 66
picture below of perimeter of right angle triangle
Add both values
P= 66 + 40
P = 106
= w*l (Area of rectangle)
=15·18
= 270
= ab/2 ( Area of triangle )
= 8·15/2
=60
Add both values
A = 60 + 270
A = 330
I hope it helps
1/2 x 1 1/3 x 2=?
please help on this