y = (x) = (1/16)^x
Find f(x) when x = (1/4)
Answers
Answer:
1/2
Step-by-step explanation:
(1/16)^x
Let x = 1/4
(1/16)^ 1/4
Rewriting 16 as 2^4
(1/2^4)^ 1/4
We know that 1 / a^b = a^-b
(2 ^ -4)^ 1/4
We know that a^b^c = a^(b*c)
2^(-4*1/4)
2^-1
We know that a^-b = 1/ a^b
2^-1 = 1/2^1 = 1/2
Here it is step-by-step
Related Questions
Company is preparing budgets for the quarter ending June 30, 2019.
Budgeted sales in units for the next five months are:
April 20,000
May 50,000
June 30,000
July 25,000
Required:
a. Prepare Sales budget for April, May & June assuming selling price per unit is 15.
b. Prepare production budget for April, May & June if the company wishes ending inventory as 10 % of next month sales units.
Answers
Answer:
Results are below.
Step-by-step explanation:
First, we need to determine the sales budget for April, May, and June:
Sales budget April:
Number of units sold= 20,000
Sales revenue= 20,000*15= $300,000
Sales budget May:
Number of units sold= 50,000
Sales revenue= 50,000*15= $750,000
Sales budget June:
Number of units sold= 30,000
Sales revenue= 30,000*15= $450,000
Now, the production budget using the following formula:
Production= sales + desired ending inventory - beginning inventory
Production budget April:
Sales= 20,000
Desired ending inventory= 50,000*0.1= 5,000
Beginning inventory= 0 (assuming no beginning inventory)
Production= 25,000
Production budget May:
Sales= 50,000
Desired ending inventory= 30,000*0.1= 3,000
Beginning inventory= (5,000)
Production= 48,000
Production budget June:
Sales= 30,000
Desired ending inventory= 25,000*0.1= 2,500
Beginning inventory= (3,000)
Production= 29,500
Which question will give data that has a measure of center and variation?
Answers
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 139 millimeters, and a variance of 49. If a random sample of 34 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 1.8 millimeters
Answers
The probability that the sample mean would differ from the population mean by more than 1.8 millimeters is approximately 0.0668.
What is the standard deviation?A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.
The standard deviation of the population is [tex]$\sqrt{49} = 7$[/tex] millimeters. The standard error of the sample mean is then
[tex]$\frac{7}{\sqrt{34}} = \frac{7}{5.874} \approx 1.2$[/tex]millimeters.
The probability that the sample mean would differ from the population mean by more than 1.8 millimeters is the probability that it falls outside of the interval [tex]$(139 - 1.8, 139 + 1.8)$[/tex]. We can use the standard normal distribution to approximate this probability.
First, we need to convert the difference between the sample mean and the population means to standard units.
The difference of 1.8 millimeters is :
[tex]$\frac{1.8}{1.2} = 1.5$[/tex] standard units.
Then, we can use the standard normal distribution to find the probability that the sample mean falls outside of this interval.
This probability is equal to [tex]$1 - 2\Phi(-1.5) \approx 0.0668$[/tex],
where [tex]$\Phi$[/tex] is the standard normal cumulative distribution function.
Therefore, the required probability is approximately 0.0668.
Learn more about the standard deviation here:
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The measures of the first and second angles in a triangle are equal.The third angle measures 9 times the sum of the equal angles. Find the measurements of the three angles
Answers
9514 1404 393
Answer:
9°, 9°, 162°
Step-by-step explanation:
Let x represent the measure of the first angle. Then the sum of all of the angles in the triangle is ...
x + x + 9(x+x) = 180°
20x = 180° . . . . . . . . . . collect terms
x = 180°/20 = 9° . . . . . divide by 20
9(x+x) = 162° . . . . . . . find the third angle
The three angle measures are 9°, 9°, and 162°.
which statement is true about theese triangles is true?
A)There are exactly three acute triangles
B)There are exactly three isosceles triangles
C)There are exactly three right triangles
D)There are exactly three scalene triangles
Answers
Answer:
D is the answer. because their are three scalene triangles
Answer:
D)There are exactly three scalene triangles
Step-by-step explanation:
PLS HELP! The question is down below!
Answers
The answer will be option D. -6
Solve the inequality: 14-0.6t>2
Answers
Answer:
t > 20
Step-by-step explanation:
14 - 0.6t > 2
14 - 14 - 0.6t > 2 - 14
- 0.6t > - 12
- 0.6t ÷ - 0.6 > - 12 ÷ - 0.6
t > 20
Answer:
t<20
Step-by-step explanation:
move the constant to the right- hand side and change its sign
-0.6>2-14
calculate the differnce
-0.6> -12
divide both sides of the inequality by -.06 and flip the inequality sign
t>20
so your solution is t>2o
Graph the inverse of the line provided on the graph. (just say where I should put the 2 dots)
Answers
Which is the graph of y=[x]-2?
Answers
Answer:
The function y = ⌊x⌋ is called the "greatest integer value" function.
it works as follows: the input is any number x, the output is the greatest
integer smaller or equal to x.
For example:
⌊0.1⌋=0
⌊0.26⌋=0
⌊0.4678⌋=0
⌊0.8989⌋=0
⌊0.999⌋=0
⌊1⌋=0
⌊1.0001⌋=1
so, the value of ⌊x⌋, for the entire interval (0, 1] is 0.
Similarly,
the value of ⌊x⌋, for the entire interval (1, 2] is 1. and so on,
thus the graph of y = ⌊x⌋ is as shown in picture 1
the graph of y = ⌊x⌋ – 2 is the graph of y = ⌊x⌋ shifted 2 units down.
check picture 2.
If paper products accounted for 33% of the total MSW recycled in 2010 and about 7m3 of landfill space is saved for each metric ton of paper products recycled, calculate how much landfill space was saved by recycling paper products in 2010 in the United States.
Answers
Answer:
Volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space
Note: The Table in the attachment below Shows The Total MSW (in Metric Tons) And Percent MSW Recycled Over Time In The United States.
Step-by-step explanation:
Step 1: Determining the amount in metric tons of paper products recycled
In the year 2010, a total of 76 million metric tons of MSW was recycled.
Recycling of paper products accounted for 33% of the total MSW recycled in 2010.
The amount of paper products recycled in millions of metric ton = 0.33 × 76 million = 25.08 million metric tons of paper products.
Step 2: Determining the volume of landfill space saved in 2010 by recycling paper products
7m³ of landfill space is saved for each metric ton of paper products.
Volume of landfill space saved by recycling paper products in 2010 in the United States = total amount of paper products recycled × 7 m³/metric ton
Volume of landfill space saved = 25.08 million metric tons × 7 m³/metric ton
Volume of landfill space saved = 175.56 million m³ of land space
Therefore, volume of landfill space saved by recycling paper products in 2010 in the United States = 175.56 million m³ of land space
Using proportions, it is found that about 21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, 33% of the total amount is equivalent to 7 cubic metres, hence:
0.33t = 7
t = 7/0.33
t = 21
21 cubic metres of landfill space was saved by recycling paper products in 2010 in the United States.
More can be learned about proportions at https://brainly.com/question/24372153
PLEASE HELP IM DESPERATE
Answers
Answer:
20
Step-by-step explanation:
You can write the equation x+(3x+1)+(x-11)=90 and then isolate x
x+(3x+1)+(x-11)=90
5x-10=90 (combine like terms)
5x-10+10=90+10 (add 10, addition property of equality)
5x=100
5x/5=100/5 (divide by five, division property of equality)
x=20
sam ran 63,756 feet in 7 hours. what is sam's miles per hour
Answers
Answer:
1.725 mph
There are 5280 feet in a mile, so you divide by that and get 12.075. Since it's seven hours, you divide by 7 and get 1.725.
Answer: 9108
Step-by-step explanation: To solve ur problem u hsd to do 63756 divided by 7 to find out how much sam ran per hour. I hope it helps u! ItzofficallySriSri signing off!
Round 9.2 to the nearest whole number
Answers
Hey buddy I am there to help!
nearest whole number rounding off of 9.2
answer = 9
because if the number in the tenths place (0.1) is less than 5 then the number in ones place will remain the same!
Plz mark my answer brainliest
when rounding you want to look to the right of the decimal point and check the number. if the number is below 5 then the number stays the same and it doesnt change...if the number is 5 or greater you round the whole number up one. hope thay helped!
f(x) = x3 + 6x2 – x
f(x) = 30?
Answers
Answer and Step-by-step explanation:
The answer is 2 (which is equal to x).
If you were to plug 2 in to the function, the result if 30.
[tex]x^{3}+ 6x^{2} -x\\\\\\\\(2)^3+6(2)^2 - 2 = 30 = f(2)[/tex]
#teamtrees #PAW (Plant And Water)
I need the answer plssssssss
Answers
Please mark brainliest
[tex]\\ x^{2} \sqrt{x} \sqrt[n]{x} \frac{x}{y} x_{123} \leq \geq \neq \pi \alpha \beta \left \{ {{y=2} \atop {x=2}} \right. \int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \\ x^{2} \geq \leq \neq \lim_{n \to \infty} a_n \int\limits^a_b {x} \, dx \leq \\ \sqrt{x} \sqrt{x} \beta \beta \beta \frac{x}{y} \neq \leq \left \{ {{y=2} \atop {x=2}} \r[/tex]
Answers
Answer:
?????
Explanation: ????
Which statement is true of this graphed function?
Answers
Answer:
f(x) -0 over the interval (-, -4)
Step-by-step explanation:
Inside a personal computer, 5 memory chips fit inside a 1-inch section. How much space do 3 memory chips take up?
A) 4/5 inch
B) 5/3 inch
C) 3/5 inch
D) 5/5 inch
Answers
Explanation:
5 chips = 1 inch
1 chip = 1/5 inch
3 chips = 1/5 x 3 = 3/5 inch
PLEASE HELP 15 POINTS,
It is now time to complete the Utilities Discussion. Research the cost of some sort of household bill. Examples are natural gas, electricity, water, etc. Find one that models a linear function and write a function to represent the cost of this utility.
Explain how you found your information and wrote your function. Be sure to define your variables, use function notation.
Answers
Step-by-step explanation:
I take gas consumption as example.
Consider the followings,
Let M be the gas meter reading per month
A be the fuel adjustment fee
B be monthly maintenance fee
Y be unit cost per Joule
Let X be monthly bill
( 1 meter reading unit = 48 unit of Joule )
Monthly bill payment :
X = Mx48xY + A + B
in function notation, the monthly bill is f(M, Y, A, C)
PLS HELPPP ASAP!!!!!
Below are the data collected from two random samples of 500 American adults on the number of hours they work per day (rounded to the nearest hour):
Number of hours of work per day 6 7 8 9 10
Sample A: Number of adults 60 90 145 150 55
Sample B: Number of adults 70 80 140 145 65
Ryan concludes that adults spend a mean of 8 hours working each day. Malia thinks the mean is 9 hours. Who is correct—Ryan or Malia? Explain your answer in two or three sentences. Make sure to use facts to support your answer.
Answers
Answer:
RYAN
Step-by-step explanation:
6+7+8+9+10=40
40 divided by 5= 8
mean is all numbers added together divided by amount of numbers
The average number of hours that adults spend working each day is; 8 hours and Ryan is correct because he got the average of 8 right.
How to calculate the mean from a sample of data?The mean is gotten from the formula;
x' = ∑x/n
Number of hours of work per day are; 6, 7, 8, 9 and 10
Thus;∑x = 6 + 7 + 8 + 9 + 10
∑x = 40
Mean is; x' = 40/5
x' = 8
Since ryan concluded that the average is 8 hours, then we can say that Ryan is correct.
Read more about mean of data at; https://brainly.com/question/24245867
What is the value of x?
Answers
Answer:
45 degree
Step-by-step explanation:
3x - 9 + 24 + 30 = 180 degree (being sum of interior angles of a triangle)
3x + 45 = 180
3x = 180 - 45
x = 135/3
x = 45 degree
Answer:45 độ
Step-by-step explanation:
3x - 9 + 24 + 30 = 180 độ (là tổng 3 góc của tam giác)
3x + 45 = 180
3x = 180 - 45
x = 135/3
x = 45 độ
How is the product of 2 and -5 shown on a number line?
Answers
Answer:
C
Step-by-step explanation:
because it is two sets of -5
Answer:
4th option as it's 2 × -5
so we'll jump -5 from zero 2 times and end up at - 10
Find the mean absolute deviation (MAD) of the data in the pictograph below. home runs - 1 home run Home runs hit by each team in a baseball league
Answers
The mean absolute deviation of the data in the image given is: 1.5.
What is the Mean Absolute Deviation?The mean absolute deviation can be described as the average distance between each data value of a data set and its mean.
Thus:
Let's find the average of the data set:
Each data in the data set are 7, 2, 4, 3.
Mean = (7 + 2 + 4 + 3)/4
Mean = 4
Therefore:
Mean absolute deviation = (|x1 - mean| + |x2 - mean| + ...)/N
(|x1 - mean| + |x2 - mean| +...) = (|7 - 4| + |2 - 4| + |4 - 4| + |3 - 4|) = 6
N = 4
Thus:
Mean absolute deviation = 6/4 = 1.5
Therefore, the mean absolute deviation of the data in the image given is: 1.5.
Learn more about mean absolute deviation on:
https://brainly.com/question/17381861
Answer:
1.5 i did it on khan
Step-by-step explanation:
Melissa got 18 out of 20 on a math quiz. Tom got 85% on the quiz. Whose mark was greater? (Show all of your proof
Answers
Answer:
Melissa
Step-by-step explanation:
Melissa: 18/20
Tom: 85/100
Find the common denomenater so multiply 18*5 and 20*5
Melissa: 95/100
95>85
Melissa has the greater mark
This graph represents a quadratic function. What is the function's equation written in factored form and in vertex form?
(graph in picture)
Answers
Step-by-step explanation:
f(x) = a(x-x1) (x-x2)
from the vertex, we get a:
0 = a(4-2)²- 8
4a = 8
a = 2
so, the equation:
f(x) = 2(x-0) (x-4)
f(x) = 2x(x-4)
f(x) = 2x² -8x
Calculate the sum of the first 20 terms of an arithmetic sequence with the 3rd term 8 and the 8th term 143.
Answers
Answer:
4670
Step-by-step explanation:
that is the workings above
If the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.
What is arithmetic progression?Arithmetic progression is a sequence in which all the terms have equal differences. Nth term will be a+(n-1)d in which a is first term, d is difference and n is number of term.
How to calculate sum?We have been given that third term is 8 and eight term is 143 and we have to calculate the sum of first 20 terms.
[tex]A_{3}[/tex]=a+(3-1)d
8=a+2d-----1
[tex]A_{8}[/tex]=a+(8-1)d
143=a+7d---2
Subtract equation 1 from equation 2.
a+7d-a-2d=143-8
5d=135
d=27
Put the value of d in equation 1.
a+2d=8
a+2*27=8
a+54=8
a=-46
We know that,
[tex]S_{n}[/tex]=n/2[2a+(n-1)d]
=20/2[2*(-46)+(20-1)*27]
=10(-92+19*27)
=10(-92+513)
=10*421
=4210
Hence if the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.
Learn more about arithmetic progression at https://brainly.com/question/6561461
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What is the length of side a? Round to the nearest tenth of an inch. Enter your answer in the box.
16 in.
a
7 in.
Answers
uppose paired data are collected consisting of, for each person, their weight in pounds and the number of calories burned in 30 minutes of walking on a treadmill at 3.5 mph. How would the value of the correlation coefficient, r, change if all of the weights were converted to kilograms
Answers
Answer:
Has no effect on the correlation
Step-by-step explanation:
The correlation coefficient measures the strength of the relationship between two variables and it has no unit of measurement. All that correlation Coefficient does is to observe whether increase in variable x increases as variety able y increases and vice versa and how closely the values in each if the two variables are related. This is to emphasize that, the correlation Coefficient is independent of the unit of measurement of the two variables in question.
Hence, converting all weights to kilograms has no effect on the correlation Coefficient
A row of plaques covers 252 square feet of space along a wall. If the plaques are 6 feet tall, what length of the wall do they cover?
Answers
Answer:
yeah boy
Step-by-step explanation:
They cover 252
they cover up the wall
1. The equation y = x + 5 shows the total dollar amount, y, Jason receives in a week by completing x chores.
2. The equation y = 15x shows the total miles, y, Bree travels riding her bike x hours.
3. The equation y = 6x represents the total miles Kayla runs in x hours.
PLEASE HELP
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
The three equations
Required
Label the x and y-axes
The general rule is to place the independent variable (x) on the x-axis and the dependent (y) on the y-axis.
What x and y represented are always stated after writing the equation.
So, we have:
[tex](a)\ y = x + 5[/tex]
[tex]x \to[/tex] Number of chores
[tex]y \to[/tex]Amount
[tex](b)\ y =15x[/tex]
[tex]x \to[/tex] Time (hours)
[tex]y \to[/tex]Miles traveled
[tex](c)\ y = 6x[/tex]
[tex]x \to[/tex] Time (hours)
[tex]y \to[/tex]Miles traveled