Use the domain {1/2, 1, 2, 4, 8, 16} and plot the six points that would satisfy the equation. Submit your graph.
y=log2 X
Given:
The equation is
[tex]y=\log_2x[/tex]
The domain is [tex]\{\dfrac{1}2, 1, 2, 4, 8, 16\}[/tex].
To find:
The graph of six points that would satisfy the equation.
Solution:
We have,
[tex]y=\log_2x[/tex]
For [tex]x=\dfrac{1}{2}[/tex],
[tex]y=\log_2\dfrac{1}{2}[/tex]
[tex]y=\log_22^{-1}[/tex]
[tex]y=-1[/tex] [tex][\because \log_aa^x=x][/tex]
Similarly, at x=1,
[tex]y=\log_22^0[/tex]
[tex]y=0[/tex]
At x=2,
[tex]y=\log_22^1[/tex]
[tex]y=1[/tex] [tex][\because \log_aa^x=x][/tex]
At x=4,
[tex]y=\log_22^2[/tex]
[tex]y=2[/tex] [tex][\because \log_aa^x=x][/tex]
At x=8,
[tex]y=\log_22^3[/tex]
[tex]y=3[/tex] [tex][\because \log_aa^x=x][/tex]
At x=16,
[tex]y=\log_22^4[/tex]
[tex]y=4[/tex] [tex][\because \log_aa^x=x][/tex]
Plot the points [tex](\dfrac{1}{2},-1),(1,0),(2,1),(4,2),(8,3),(16,4)[/tex] on a coordinate plane as shown below.
HELP!!! PLZ!!!!!! what the answer??? The choices are yes and no.
PLEASE HELP!!! PICTURE INCLUDED please look at it!!! ILL MARK U BRAINLIEST IF U GET IT RIGHT!!!
Answer:
73 % for the right square, 173% if you need to add both squares together
Step-by-step explanation:
each block is 10, and whole is equal to 100%
What is the eighth term of the geometric sequence 6, 18, 54
Answer:
= 4374.
Step-by-step explanation:
it is important to understand the pattern hidden in such problem.Let’s give it a try 2, 6, 18, 54 and so on.It can be written as 2, 3*2, 9*2, 27*2 and so on.
This can be further written as2 (1, 3, 9, 27, and so on) as 2 is common in every term.Now if you see the chain 1,3,9, 27 and so….you will see a pattern hidden i.e. 3=1*3 ,9=1*3*3, 27=1*3*3*3 now 27 is the 4th term consist of three 3. So 8th term would consist of seven 3. 8th would be 8th term = 1*3*3*3*3*3*3*3 = 2187 Hence the 8th term for the series 2,6,18,54 would be= 2*2187 = 4374.
Carolyn was training for cross-country season on an indoor track. During her
workout, she ran 24 laps around a track that measured 110 meters. What was
the total distance Carolyn ran in kilometers?
Answer:
2.64 km
Step-by-step explanation:
24 laps each of 110 meters means a total of :
24 * 110 = 2640 m
which translated to km are: 2.64 km
HELP I NEED HELP ASAP
What is the sum of the solutions to the equation (3x-16)(2x+15)=0?
A. 13/240
B. 13/6
C. -13/240
D. -13/6
Answer:c
Step-by-step explanation:
Answer:
(3x-16)(2x+15)=0
A. 13/240
I need help I accidentally hit the answer 7
Answer:
A.4
Step-by-step explanation:
The diameter of the bigger circle is 14
You first subtract 6 from 14 which is 8
8 is the diameter of the smaller circle the radius is 4
your answer is A.
is there a relation of functions: (10,8), (19,0),(3,1)
Answer: yes (I think)
Step-by-step explanation: any input has one output and since there is no doubled output it is a relation of functions
HELP HAVE BEEN WORKING ON THIS FOR 10 HOURS!!!!!!!! Please SHOW WORK NO LINKS AND PROPER ANSWER PLEASE!!!!!!
help asap!
Find the probability of at least one failure in five trials of a binomial experiment in which the probability of success is 30%. Round to the nearest tenth of a percent.
Clare has a set of cubes with a volume of 1 cm³ each. She also has a box with a volume of 24 cm³. Exactly two layers of cubes can fit in this box. How many cubes must be in each layer? its a school problem I'm having trouble with
Answer:
12 cubes
Step-by-step explanation:
If the total volume of the box is 24 cm³ and the volume of each cube is 1 cm³ then that means that 24 total cubes can fit perfectly inside the box. Since there can only be two layers of cubes then we simply need to divide the total amount of cubes that will fit in the box by 2 to find the number of cubes in each layer...
24 / 2 = 12 cubes
Finally, we can see that each layer within the box will contain 12 cubes
Your middle school is having a fall festival. Admission into the carnival is $3 and each game inside the carnival costs $.25. Write an inequality that represents the possible number of games that can be played having $10. What is the maximum number of games that can be played?
A). 0.25x + 3 < 10; 28 games
B). 0.25x + 3 is greater than or equal to 10; 28 games
C). 0.25x - 3 < 10; 52 games
D). 0.25x- 3 is greater than or equal to 10; 52 games
Answer: 0.25x + 3 ≤ 10; 28 games
Note how we have a "less than or equal to" sign, instead of simply a "less than" sign.
======================================================
Work Shown:
x = number of games
0.25x = amount spent on games only
0.25x+3 = total amount spent (games+admission)
total spent ≤ $10 since $10 is the most we have
0.25x + 3 ≤ 10 is the inequality we need to solve
0.25x ≤ 10-3 .... subtract 3 from both sides
0.25x ≤ 7
x ≤ 7/0.25 ............ divide both sides by 0.25
x ≤ 28
Since x is less than or equal to 28, this means the largest x can get is 28.
We can think of this as the ceiling value so to speak.
So the maximum number of games that can be played is 28.
What is an equation of the line that passes through the points (-3, 7) and (3, 3)?
Answer:
[tex]y = -\frac{2}{3}x + 5[/tex]
Step-by-step explanation:
First you have to find the slope
[tex]m = \frac{7 - 3}{-3 - 3} = \frac{4}{-6} = -\frac{2}{3}[/tex]
Now use the point-slope form by using one of the points and the slope. Let's use the point (3, 3)
[tex]y - 3 = -\frac{2}{3} (x - 3)[/tex]
Multiply thru the equation by 3 to remove the fraction
3y - 9 = -2(x - 3) =
3y - 9 = -2x +6
3y = -2x + 15
[tex]y = -\frac{2}{3}x + 5[/tex] is the equation in slope-intercept form
Question 3 plzzz thanks u
Answer:
the pic is blank we can't see
Step-by-step explanation:
Find the area of the figures????
Answer:
The are is 64 cm.
Step-by-step explanation:
[tex]\huge\text{hi}[/tex]
5 * 2 = 10
12 * 4.5 = 54
54 + 10 = 64cm
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-Lil G
please help me this is due in a few minutes!
simplify- should only contain positive exponents
Answer:
Step-by-step explanation:
[tex](2a^2)^{-1}=\frac{1}{2a^2}[/tex]
Maggie has exactly $20 to buy decorations for the dance. Streamers cost $2 per roll and balloons are $1.50 per package. Which set of purchases is closest to her budget?
Answer:
streamers are closest to her budget.
Step-by-step explanation:
because if you want to buy balloons then you would have to buy 13.3 3 is infinite, but if you bought streamers then you would only buy 10.
Are the two triangles similar? Why or why not?
PLZZZZZ HELP
Answer:Yes, they are similar.
If two triangles are congruent then all corresponding sides as well as corresponding angles of one triangle are equal to those of other triangles. This can happen in four cases
Step-by-step explanation:
Answer:
yes the are similar
Step-by-step explanation:
they are similar since they both have a 90⁰ angles and the lines are =. but I don't know if they count the size of the triangle if yes then they are not similar since they do not have the same area
while shopping for a dress, mrs vargas found one that was in sale for 35% off. the original price was $40. how much will she save?
Please explain mathematical reasoning age and if it’s wrong I will report. No links or anything please.
Adam,Rob and Clare share some sweets in the ratio 4:5:8. Clare gets 12 more sweets than Rob. How many sweets did Adam get?
Answer:
16 sweets
Step-by-step explanation:
Adam : Rob : Clare
4 : 5 : 8
Find the difference in units of Rob and Claire.
8 - 5 = 3 units
3 units = 12
1 unit = 12 ÷ 3 = 4
4 units = 4 x 4 = 16
EXTRA POINTS-- find the value of x and the measure of each angle
Answer:
x= 25
3x-4=71
2x+3=53
2x+6=56
Step-by-step explanation:
Please help me with this question!
Solve the equation.
4x = -28
x=_____
What is this formula?PLEASE ANSWER THIS QUESTION RIGHT.
Answer:
Quadratic formula
Step-by-step explanation:
You can use the quadratic formula to find solutions for quadratic equations.
A luxury chairs manager found that an employee made 3/4 of a chair every 3/8 of an hour
How many chairs does the employee make per hour?
Answer:
3/4 x 3/8 = 9/32
Step-by-step explanation:
How would you calculate the area of the quarter circle represented in the upper left hand corner of this figure?
(see pictures for answer options)
Answer:
Step-by-step explanation:
To find the area of a quarter circle, find the area of the whole circle by using the formula A = pi * r^2 and then divide by 4. To find the perimeter of the quarter circle, find the circumference of the whole circle, divide by 4, and then add the radius twice.
Answer: [tex]\frac{\pi *r^{2} }{4}[/tex]
Step-by-step explanation: We know that the formula for the area of a whole circle is πr². A quarter circle is one-fourth of a circle, so if we divide the area of the whole circle into four, we can find the area of the quarter circle: [tex]\frac{\pi *r^{2} }{4}[/tex]
Identify the pair of exponents that would make the statement FALSE
Answer:
The answer of this question is ( D) 2, 10.
Solve the inequality.
Please help.
Answer:
2 < x <_ 3.5
Step-by-step explanation:
First, find the value of x by writing it as an equation. Then, use 0 as x to determine the correct inequality.
can someone find the volume to this :)))
Based on data collected from various moving companies, a homeowner uses the linear model y=1.5x+150 to predict the total cost of renting a moving truck, y, for x minutes. If the homeowner rents a moving truck for 60 minutes, which statement best describes the slope of the linear model?
Answer:
The answer is $240
Step-by-step explanation:
You multiply 1.5 times 60 minutes and get 90, you then add 150 and 90 and you get 240.