Answer:
[tex]f(x)=(\frac{1}{4})^{x-b}[/tex]
Step-by-step explanation:
We are given that
(0,1024),(1,256),(2,64),(3,16)and(4,4)
From given data we assume an exponential function
[tex]f(x)=a^{b+x}[/tex]
where b and a are constant
[tex]f(0)=1024[/tex]
[tex]1024=a^b[/tex]...(1)
[tex]f(1)=256[/tex]
[tex]256=a^{b+1}[/tex]...(2)
Equation (1) divided by equation (2)
Then, we get
[tex]\frac{1024}{256}=\frac{a^{b}}{a^{b+1}}[/tex]
[tex]4=a^{-1}[/tex]
[tex]a=\frac{1}{4}[/tex]
Using the the value of a in equation (1)
[tex]1024=(\frac{1}{4})^{b}[/tex]
[tex]4^{5}=4^{-b}[/tex]
[tex]-b=5[/tex]
[tex]b=-5[/tex]
Therefore, the exponential function
[tex]f(x)=(\frac{1}{4})^{x-b}[/tex]
Two friends each ate 1/2 of a pizza
And......................?????
Which simplified ratio correctly compares 30 inches to 2 feet?
01:15
O 15:1
O 5:4
04:5
Answer:
15:1
Step-by-step explanation:
30/2=15
2/2 = 1
15:1
An experiment was conducted as a one-way factorial design with K sample means, each based on n scores. What is the number of degrees of freedom for the between mean squares
Answer:
The mean squares has d.f (n-1)
Step-by-step explanation:
The total number of degrees of freedom is n-1 as there is only one restriction of computing the grand mean. The d.f for k samples is k-1 beacuase the mean of the sample means must equal the grand mean. Similarly , the d.f for within SS is n-k , due to the k restrictions of computing the k sample means. Hence we find that
Total df= Within df + Between df
n-1= (n-k)+(k-1)
Between SS has (k-1) d.f
Within SS has (n-k) d.f
These two quantities are known as mean squares and has d.f (n-1)
F(-2)=x^2-3x+4; find f(-2)
Given that z is a standard normal random variable, find the value of z for each situation. a. The area to the right of z is 0.01.
Answer: =1.34
Step-by-step explanation:
In standard density curve
P(Z<z) = Area left of z, P(Z>z) = area right of z.
P(Z<z) +P(Z>z) =1
Given: z is a standard normal random variable.
To find : value of z if rea to the right of z is 0.01.
i.e. P(Z>z) =0.01
P(Z<z) =1-0.01 = 0.09
from z-score table, z value for this is 1.34.
Hence, z= 1.34
1.6[7-4m]=30
2.[5+6a]-3=8
Answer:
(a,m=(-1499/1812, 1/2)
Step-by-step explanation:
hope this helps!
Enter the resulting inequality.
12>-4; Subtract 12 from both sides.
The resulting inequality is
Answer:
0>-16
Step-by-step explanation:
1. A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight
in water and ate half its weight in food. Which equation can be used to find t, the
combined weight of the water and the food, In ounces, that the hummingbird had on this
day?
O
t - W + 8
2
O
t-w + 8 +
NI
O
t =8w+
2
w
t2w+
8
CLEAR ALL
Answer:
t = 8w + w/2
Step-by-step explanation:
Given that :
Weight of bird = w
Amount of water consumed = 8*w = 8w
Amount of food ate = 0.5*w = 1/2w
Hence, the combined weight of water and food (t) consumed by the humming bird :
t = amount of water consumed + amount of food ate
t = 8w + w/2
Suppose you have a population in which 60% of the people approve of gambling. Is the value 0.60 a parameter or a statistic
Answer:0.60 is a parameter .
Step-by-step explanation:
In statistics, a parameter is a number that summarize the data for a whole population.
On the other hand , statistic gives a measure for sample of population.
Given: We have a population in which 60% of the people approve of gambling.
60% = 0.60
Since it is a measure for the population , it is denoted as population parameter.
Hence, 0.60 is a parameter not statistic.
Help ASAP! And explain!
Answer:
Option (2)
Step-by-step explanation:
Given:
AC is an angle bisector of ∠DAB and ∠DAB
m∠BCA ≅ m∠DCA
m∠BAC ≅ m∠DAC
To Prove:
ΔABC ≅ ΔADC
Solution:
Statements Reasons
1). m∠BCA ≅ m∠DCA 1). Given
2). m∠BAC ≅ m∠DAC 2). Given
3). AC ≅ AC 3). Reflexive property
4). ΔABC ≅ ΔADC 4). ASA property of congruence
Therefore, Option (2) will be the correct option.
25 points pls help this is really hard
1) Johnny The Fat Kid has 10 apples, He gives 2 apples to both of his friends (2).
How many apples does Johnny The Fat Kid have now?
2) With the remaining apples Johnny has, he eats 1 apple and then gives away 3 apples to charity. Because Johnny is so nice to charity, he revieves 8 apples back.
How many apples does Johnny The Fat Kid have in total? (Now)
Answer:
10
Step-by-step explanation:
you do step by step math and after you do that you will get 10
Answer:
10
Step-by-step explanation:
Please answer thank you !!!!!
Answer:
-7x^3+8x^2+x-5
Step-by-step explanation:
We are simply adding the two functions:
f(x) + g(x) = (2x^2-5x^3+x-7) + (6x^2-2x^3+2) = 8x^2-7x^3+x-5 = -7x^3+8x^2+x-5
In which quadrant are the following points in
Translate and solve: 58% of what number is 145?
Answer:
58% of 250 is 145.
Step-by-step explanation:
145 * 100/58
= 250
Answer:
250
Step-by-step explanation:
Match each parabola with the coordinates of its zeros.
Answer:
where are the coordinates here
Write an equation to show " buying 2 boxes of crayons and $4.00 each."
Answer:
4+4is the answer hope ot helps
Can you help me with these 5 questions please?!
Answer:
1. A 2. 9$ 3. C 4. C 5. Because you can see the prices and the difference between prices
Rate pls
which expression is equivalent to (5^-2) (5^-1)
Answer:
C) [tex]\frac{1}{125}[/tex]
Step-by-step explanation:
on edg
Please help me answer this with the correct answer :)
Explain your answer
I will give braisnlt :) c
what has a quotiont of 9 and a reminder of 5
Answer:
Division problems with quotient of 9 and remainder of 5 could include:-
23/2 = 9 + 5/2
32/3 = 9 + 5/3
41/4 = 9 + 5/4
50/4 = 9 + 5/5
But you could justifiably object that more natural forms for the answers would be 11 + 1/2, 10 + 1/3, 10 + 1/4 and 10 , and so you may well prefer such as
59/6 = 9 + 5/6
77/8 = 9 + 5/8 ….. and so on
As you can see the general pattern is (9n + 5)/n = 9 + 5/n
You can now make up your own examples, like 212/23 = 9 + 5/23
Step-by-step explanation:
PLEASE HELP I WILL GET DETENTION
Answer:
b) 12 is right answer
I hope it's helps you
Write the Linear Equation given:
1. Slope = 4; y-intercept = -5
2. Slope = 5; y-intercept = 3
3. Slope = -2; y-int; y-intercept = -8
4. Slope = 2; y-intercept = 2
5. Slope = -%; y-intercept = -2
6. Slope = /; y-intercept = 7
7. Slope = -3; y-intercept = ?
8. Slope = %; y-intercept = 10
9. Slope = -2; y-intercept = -1
10.Slope = -2; y-intercept = -3
Answers:
Answer:
Either a tangent line or a line parallel to the axis of symmetry will do.
A standard high school parabola has a vertical or horizontal axis of symmetry, so a line of the form x=k or y=k is the easiest way
hope it helps you
PLZ HELP!!! I need help ASAP
Answer:
The two problems/expressions are the same because of the negative and positive rule.
Step-by-step explanation:
+ - = -
- + = -
- - = +
+ + = +
WILL GIVE BRAINIEST AND 100 POINTS TO CORRECT ANSWER
A parallelogram is shown below:
Part A: What is the area of the parallelogram? Show your work. (5 points)
Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)
Answer: part a: area = bh part b: split it on its diagonals
Step-by-step explanation:
Solve for the following equation
R-(-5)=-9
A map is drawn so that every 1 inch on the map represents 50 actual miles. The table below can be used to record the
actual distances between towns on the map
Actual Distances and Map Distances
Actus Distance (ml.)
50
Map Discuice (in.)
1
What is the actual distance between two towns that are 4 inches apart on the map?
O 54 miles
O 80 miles
O 150 miles
O 200 miles
Answer:
200 miles
Step-by-step explanation:
one inch = 50 miles, 4 × 50 = 200
20% of Aussies have blue eyes. If 4 Aussies in a play group have blue eyes, how many Aussies are in the group?
Answer:
20
Step-by-step explanation:
Step 1: 4 = 20% × Y
Step 2: 4 = 20/100 × Y
Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:
Step 3: Y = 4 × 100/20
Step 4:Y = 4 × 100 ÷ 20
Step 5: Y = 20
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
20% = 4
100% = 20
The total number of people in the group is 100 people.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
We have,
Number of Aussies with blue eyes = 4
Percentage of blue eyes in the Aussies = 20%
This can be written as:
20% = 4
Now,
The percentage of the total number of people in the group = 100%
So,
20% = 4
Multiplying 5 on both sides.
5 x 20% = 5 x 4
100% = 20
This means,
The total number of people in the group is 100.
Thus,
The total number of people in the group is 100 people.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
What is the exact value of cos(11pi/12)
9514 1404 393
Answer:
[tex]\text{(a)} \quad -\dfrac{\sqrt{2+ \sqrt{3}}}{2}[/tex]
Step-by-step explanation:
The angle is near π, so the cosine value is a negative value near -1. This means the value under the numerator radical must be slightly less than 4. The only answer choice that makes any sense is the first choice.
The value of the cosine is ...
cos(11π/12) ≈ -0.9659
The values of the answer choices are ...
a) -0.9659 . . . . matches the required value
b) -0.2588
c) 0.2588
d) 0.9659
_____
You could use half-angle or angle sum formulas to figure this exactly, but it is much easier to make a multiple-choice selection based on your general knowledge of the cosine function and √3 (≈1.73).
Answer:a
Step-by-step explanation:
Edge:)
Please help I’m stuck on this...30 points for the best answer pls hurry and help
Answer:
it is A, the first one
Step-by-step explanation:
bc +6 and then -10 it ends up on -4
Answer the question above
Answer:
[tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]
Option A is correct.
Step-by-step explanation:
We need to find equivalent of [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]
First we solve [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]
We get [tex]-\frac{1}{\sqrt{3} }[/tex]
Now checking all the options.
Option A: [tex]tan\:(-\frac{\pi}{6} )[/tex]
Solving [tex]tan\left(-\frac{\pi }{6}\right)\: we\: get\: \mathbf{ -\frac{1}{\sqrt{3} }}[/tex]
Option B: [tex]tan\left(\frac{7\pi }{6}\right)[/tex]
Solving [tex]tan\left(\frac{7\pi }{6}\right)\: we\: get\: \mathbf{\frac{1}{\sqrt{3} }}[/tex]
Option C: [tex]cot\left(\frac{5\pi }{6}\right)[/tex]
Solving [tex]cot\left(\frac{5\pi }{6}\right)\:we\:get\:\mathbf{-\sqrt{3} }[/tex]
Option D : [tex]tan\left(-\frac{5\pi }{6}\right)[/tex]
Solving [tex]tan\left(-\frac{5\pi }{6}\right) \:we\:get:\mathbf{\frac{1}{\sqrt{3} } }[/tex]
So, looking at the options, only Option A has the same result as given question
So, [tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]
Option A is correct.