When multiplying the same number raised to different exponents add the exponents together:
2 ^14 x 2^8 = 2^22
The answer is 2^22
Then if you need what that equals:
2^22 = 4,194.304
Which function, b or c, is the inverse function for function a?
A- neither function
B- the function b because the graphs of a and b are symmetrical about the line y = x
C- the function c because the graphs of a and c are symmetrical about the y-axis
D- the function c because the graphs of a and c are symmetrical about the line y=x
Function Algebra Unit test
1. (F•g)(x)=3x-9/x+4
2. F^-1 (x) = -3x-4/x-7
3. ( -5 , 0) u ( 0 ,~)
4. D: (-~,2) u (2,~) R: (-~,0) u (0,~)
5. {y|0 _< y< 8}
6. Restricted domain : x _> -4 ;f^-1 (x) = -4+ sqrt x-3
7. The function C because the graphs of A and C are line symmetrical about the Y=X
8. (-~,-3) u (-3,-5/2) u (-5/2,~)
9. ( 4 points )
10. (g • f) (x)= x+3/sqrt x+2
11. (f•g) (x) = x+6 ; [ -2,~)
Answer:
8. Answer is A: (-00,-4) U (-4,-3/5) U (-3/5,00)
9. No not 1-1 function
10. x+4/sqrtx+1 (A)
11. D =x+12;[-3,00)
Step-by-step explanation: The above is 100% correct and I put the rest of answers. I just did it.
Please help me again
Julie, a cafeteria manager, is making a large amount of chicken soup to serve for lunch tomorrow.
For every 2 cups of carrots she uses in the soup, she uses 3 cups of celery. If she uses 18 cups of
celery, how many cups of carrots did she use?
Answer:
12cups of carrots
Step-by-step explanation:
3 2
3 2
3 2
3 2
3 2
3 2
Hope this helps
Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technology to estimate the standard error from a bootstrap distribution generated from the sample. Then use the standard error to give a 95% confidence interval for the proportion of the population to agree with the statement. StatKey tip: Use "CI for Single Proportion" and then "Edit Data" to enter the sample information. Click here to access StatKey. In a random sample of 400 people, 112 agree and 288 disagree. Estimate the standard error using 1000 samples. Round your answer to three decimal places.
Answer:
a) Standard Error = 0.010
b) 95% Confidence Interval = (0.0924 , 0.1316)
Step-by-step explanation:
a) The formula for Standard Error = √Sample Proportion (1 - sample proportion)/n
Standard Error = √p (1 - p)/n
We are told in the question that:
In a random sample of 400 people, 112 agree and 288 disagree. Estimate the standard error using 1000 samples
p = x/n
n = 1000 because we were told to use it instead of 400
x = number for people that agree = 112
p = 112/1000
p = 0.112
Standard Error = √p (1 - p)/n
= √0.112 (1 - 0.112)/1000
= √0.112 × 0.888/1000
= √0.099456 /1000
= √0.000099456
= 0.0099727629
Approximately to 3 decimal places = 0.010
Therefore, the standard error is 0.010
b) The Question above also asked that we solve for the 95% Confidence Interval
The formula =
p ± z × Standard Error
p = 0.112
z score for 95% confidence interval = 1.96
Standard Error = 0.010
Confidence Interval =
0.112 ± 1.96 × 0.010
= 0.112 ± 0.0196
0.112 - 0.0196
= 0.0924
0.112 + 0.0196
0.1316
Therefore, the 95% confidence interval = (0.0924 , 0.1316)
Answer:
Step-by-step explanation:
SO yeah there you go
Which point best represents the following ordered pairs?
Answer:
B, A, E, D
Step-by-step explanation:
Hope this helps and can I have brainliest!
Algebra homework please help
Answer:
Asympnotes:
Vertical: x = -1
Horizontal: none
Answer this: x=6
y=-2
-8x-4y+x
Answer:
-34
Step-by-step explanation:
first do substitution: -8 · 6 + -4 · -2 + 6
next do the multiplication: -48 + 8 + 6
add: -34
hope this helps!!!
Answer:
-34
Steps:
-8x - 4y + x
-8x + x = -7x (combine like terms)
-7x - 4y
-7(6) - 4(-2) (plug in the numbers)
-42 +8=
-34
:")
what's the Side number Bottom number
Answer:
When you get your blood pressure numbers, there are two of them. The first, or “top” one, is your systolic blood pressure. The second, or “bottom,” one is diastolic blood pressure.
Step-by-step explanation:
10 red peppers for $5.50
Answer:1.50
Step-by-step explanation:
Answer:
Step-by-step explanation:
10 red peppers = 5.50
1 red pepper = 10 ÷ 5.50 = 1.81
i need help with geometry
Answer:
its a
Step-by-step explanation:
Question 8 of 10 Which descriptions from the list below accurately describe the relationship between AXYZ and AUVW? Check all that apply. 24 w y Z 132 10 5 13 26 O A. Same size O B. Same shape C. Similar O D. Congruent SUBMIT
If you multiply each side of XYZ by 2 you get the side lengths of UVW
Because all 3 sides are the same scale the triangles would be the same shape and similar.
The given triangles are having same shape and are similar.
What are similar triangles?Two triangles are said to be similar if they have same shape, their corresponding angles are congruent, and their corresponding sides are in equal ratios.
Given are two triangles, ΔXYZ and ΔUVW, we need to check the relation between them,
The two corresponding angles in them are congruent then by AA similarity the triangles are similar,
And we know that the similar objects are of same shape.
Hence, the given triangles are having same shape and are similar.
Learn more about similarity, click;
https://brainly.com/question/26451866
#SPJ7
A box contains ten cards labeled J, K, L, M, N, O, P, Q and S. One card will be randomly chosen what is the probability of choosing a letter form L to Q
Answer:
you would have a 6 out of 9 chance
SOMEONE PLSSS HELPPP
Two similar triangles are shown on the coordinate grid: A coordinate plane is shown. Triangle ABC has vertices A at negative 3 comma 2, B at negative 1 comma 0, and C at negative 2 comma negative 1. Triangle A prime B prime C prime has vertices A prime at 6 comma 4, B prime at 2 comma 0, and C prime at 4 comma negative 2. Which set of transformations has been performed on triangle ABC to form triangle A′B′C′? (4 points) a Dilation by a scale factor of 4 followed by reflection about the x-axis b Dilation by a scale factor of 2 followed by reflection about the x-axis c Dilation by a scale factor of 4 followed by reflection about the y-axis d Dilation by a scale factor of 2 followed by reflection about the y-axis
Answer:
d Dilation by a scale factor of 2 followed by reflection about the y-axis
Step-by-step explanation:
In each case, the transformation is ...
(x, y) ⇒ (-2x, 2y)
So, a dilation by a factor of 2 is involved. That is what multiplies the coordinates by 2. Reflection in the y-axis is what negates the x-coordinate.
The transformations are ...
Dilation by a scale factor of 2 followed by reflection about the y-axis
B. Franc earns $15 an hour as a delivery driver. His company also pays him $30 a week
for car maintenance. What is the function that describes Franc's weekly earnings?
Answer: 15x+30y
Step-by-step explanation:
The function that describes Franc's weekly earnings is [tex]15x+30y[/tex].
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Earnings of Franc per hour = $15
Earnings of Franc per week = $30
Let x be the number of hours and
y be the number of weeks
Thus the function that describes Franc's weekly earnings is
⇒ [tex]15x+30y[/tex]
Hence w can conclude that the function that describes Franc's weekly earnings is [tex]15x+30y[/tex].
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
Write an equation for the line in point slope form through the points (2, −6) and (−1, −8).
Let point A be [tex](2, -6)[/tex] and point B [tex](-1, -8)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 - (-6)}{-1 - 2} = \frac{-8 + 6}{-1 -2} = \frac{-2}{-3} = \frac{2}{3}[/tex]
Use the point-slope formula and whichever point you want as , in this case I'll use
[tex]y - y_1 = m(x - x_1)\\y - (-6) = \frac{2}{3}(x - 2)\\y + 6 = \frac{2}{3}x - \frac{4}{3}\\y = \frac{2}{3}x - \frac{4}{3} - 6\\y = \frac{2}{3}x - \frac{14}{3}[/tex]
53 is the sum of 17 and Han's score
17 + ham's score = 53
Han's score= 53-17
Han's score= 36
What is the value of k in the equation?
20^k/ 20^4 = 20^9
Answer:
k = 13
Step-by-step explanation:
20 ^ k / 20^4 = 20^9
knowing the laws of exponents, diving two numbers of the same base with exponents is like subtracting the exponents, so
k^x / k^y
= k ^ (x - y)
apply that knowledge here
20 ^ k / 20 ^ 4 = 20 ^ 9
20 ^ ( k - 4 ) = 20 ^ 9
now the bases have no use here so ignore them, and just calculate the exponents
k - 4 = 9
solve using inverse operations
k - 4 = 9
+4 +4
k = 13
Answer:
k = 13
Step-by-step explanation:
20^k / 20^4 = 20^9
20^ k = 20^9 * 20^4
this is a math rule
a^n * a^m = a^(n+m)
this is because the denominators of a are the same
in this question , the bases are 20
in the case of multiplication when the bases are the same , we add the powers
hence we add the powers
= 9 + 4
= 13
hence k = 13
Little help please? It would be much appreciated :D
Answer:
[tex]\frac{12ac^1^4}{b^3}[/tex]
Step-by-step explanation:
[tex]\frac{(a^{2}b^{4}c)^2 (6a^3b)(2c^5)^3}{4a^6b^1^2c^3}[/tex]
[tex]\frac{(a^4b^8c^2)(6a^3b)(8c^1^5)}{4a^6b^1^2c^3}[/tex]
[tex]\frac{48a^{7}b^9c^1^7}{4a^6b^1^2c^3}[/tex]
[tex]\frac{12ac^1^4}{b^3}[/tex]
Each leg of the race from part a is the same distance. Calculate the team’s average time for each leg of the race. Show your work.
Answer:
58
Step-by-step explanation:
Add all of them up and divide them by 4 because there is 4 number
mark as brainliest also done this in edgenuity.
Answer:
58
Step-by-step explanation:
To find the Average, you would add all the numbers up, then you would want to divide the numbers by the amount of numbers, in this case it would be 4
and then you will find your answer
hoped this helped! (made in 202)
Evaluate inverse functions
The table below shows some inputs and outputs of the invertible function f with domain all real numbers.
x. |-7|11|-13|6|5|-9|
f(x). 7|12|8|-7|13|5|
Find the following values:
f-1(F-1(13)) =
f-1(8) =
Part 1
Answer: -9---------------------------
Explanation:
Let's focus on evaluating [tex]f^{-1}(13)[/tex] first. We need to look at the table and locate f(x) = 13. So we're looking in the f(x) row where 13 shows up. That's in the second to last column. Right above that we have x = 5
This means f(5) = 13 and [tex]f^{-1}(13) = 5[/tex]. The inverse undoes the f(x) function. So the input x and output y values swap places. This is why we're reading the table in reverse.
We can replace all of [tex]f^{-1}(13)[/tex] with 5 to go from [tex]f^{-1}(f^{-1}(13))[/tex] to [tex]f^{-1}(5)[/tex]
Then we repeat the process of using the table. Locate 5 in the f(x) row. This is in the last column. The value above that is x = -9
So f(-9) = 5 and [tex]f^{-1}(5) = -9[/tex]
Overall, [tex]f^{-1}(f^{-1}(13)) = -9[/tex]
===============================================
Part 2
Answer: -13---------------------------
Explanation:
Same idea as before. Locate 8 in the f(x) row. The value above this is x = -13
This means f(-13) = 8 and [tex]f^{-1}(8) = -13[/tex]
The value of [tex]f^{-1}(f^{-1}(13))[/tex] is -9
The value of [tex]f^{-1}[/tex] (8) is 13
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
From the table,
f(5) = 13
This can be written as,
[tex]f^{-1}[/tex] (13) = 5 _____(1)
f(-13) = 8
This can be written as,
[tex]f^{-1}[/tex] (8) = 13 ______(2)
f(-9) = 5
This can be written as,
[tex]f^{-1}[/tex] (5) = -9 _______(3)
Now,
[tex]f^{-1}(f^{-1}(13))[/tex]
= [tex]f^{-1}[/tex] (5) [ from (1) ]
= -9 [ from (3) ]
Now,
[tex]f^{-1}[/tex] (8) = 13 [ from (2) ]
Thus,
[tex]f^{-1}(f^{-1}(13))[/tex] = -9
[tex]f^{-1}[/tex] (8) = 13
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
in this equation -7=7s+28 what comes first -7+-7 or is it 28+28
Answer:
-7 - 28
Step-by-step explanation:
First, you do -7 - 28 and then divide the equation by 7.
PLEASE HELP ME ASAP!!
Answer:
36 feet
Step-by-step explanation:
A truck is carrying 102 bushels of sweet potatoes, 101
bushels of tangerines, and 103 bushels of
summer squash. What is the total weight of the crops?
Answer:
306
Step-by-step explanation:
101+102+103=306
Answer:
71,400
Step-by-step explanation:
1) Given, the crops and their weight:
apples = 40 lbs
sweet potatoes = 60 lbs
tangerines = 40 lbs
summer squash = 65 lbs
2) The Truck is carrying:
10² bushels of sweet potatoes = 60 x 100 = 6,000 lbs
10¹ bushels of tangerines = 40 x 10 = 400 lbs
10³ bushels of summer squash = 65 x 1000 = 65,000 lbs
3) All together, the total weight of the crops are:
6,000 lbs + 400 lbs + 65,000 lbs = 71,400 lbs.
The total weight of the crops is 71,400 lbs.
Solve for c in the proportion.
6/c = 48/40 c= ?
Answer:
5 should be correct answer
What is 12*6-1????????????????????????
Answer:
71
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through (6, -1) and (3, 47)
Answer:
Step-by-step explanation:
(47+1)/(3-6) = 48/-3 = -16
y + 1 = -16(x - 6)
y + 1 = -16x + 96
y = -16x + 95
a)
А
3.6 cm
3.2 cm
B В
С
4.5 cm
Write the sentence as an inequality.
Ten is at least the product of a number h and 5.
Answer:
5h ≥ 10
Step-by-step explanation:
5 * h ≥ 10
≥ means greater than or equal to which is recognized in the question for " atleast"
I NEED HELP PLEASE ASAP - will give brainliest!!!!!!!
28.) A number cannot have a value equal to its square.
Is this true or false? If false, give a counterexample.
Answer:
false 1 is equal to its own square
Your teacher draws a line segment on the board that connects points A and B in the coordinate plane. Using what you know about midpoints, explain how can you find the point that is 1/4 of the distance from A to B?
Answer:
The coordinates of the point, (x₂, y₂), 1/4 distance from A to B is given as follows;
[tex](x_2, \ y_2) = \left (x_1 + \dfrac{x_3 - x_1}{4}, \ y_1 + \dfrac{y_3 - y_1}{4} \right)[/tex]
Step-by-step explanation:
The steps used to find the point, P, 1/4 of the distance from A to B is as follows
Let the coordinate of the point A = (x₁, y₁) and the coordinate of the point B = (x₃, y₃)
Therefore, the coordinates of the point, P, (x₂, y₂), is given from the following relationship;
The coordinates of P 1/4 distance from A to B = (x₂, y₂) = (x₁ + (x₃ - x₁)/4, y₁ + (y₃ - y₁)/4)
Where;
x₂ = x₁ + (x₃ - x₁)/4
y₂ = y₁ + (y₃ - y₁)/4
By plugging in the values for x₁, y₁, x₃, and y₃, we can find the coordinates of the point P, 1/4 of the distance from A to B
The coordinates of P 1/4 distance from A to B = (x₂, y₂) = (x₁ + (x₃ - x₁)/4, y₁ + (y₃ - y₁)/4)
