Answer:
x = -24
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Answer
-24
Step-by-step explanation:
What is the solution set to this equation? log₂ (x - 2) + log₂x = 3
Let's see
[tex]\\ \rm\Rrightarrow log_2(x-2)+log_2x=3[/tex]
[tex]\\ \rm\Rrightarrow log_2(x(x-2))=3[/tex]
[tex]\\ \rm\Rrightarrow x²-2x=8[/tex]
[tex]\\ \rm\Rrightarrow x(x-2)=8[/tex]
Either x=8
Or
x-2=8x=10Solution set
x[8,10]
Obisa has a radio which uses 18-volt batteries. Each battery has 1.5 volts. How many batteries does he need to use his radio?
Answer:
I believe he would need 12 batteries
You’ll earn points just answer.. I know the answer already I’m just giving points
Answer:
10 inches
Step-by-step explanation:
2+2.25+2.25+2.25+2.5+2.75+2.75+3.25=10!!!!!!!!!
Answer:
thank youuu
Step-by-step explanation:
How to solve the square root of x - 1.
Answer:
I know i'm late but I think this might be right, I don't know, I used a website-
Step-by-step explanation:
When
√x-1
STEP
1
:
Isolate the square root on the left hand side
Radical already isolated
√x-1 = 0
STEP
2
:
Eliminate the radical on the left hand side
Raise both sides to the second power
(√x-1)2 = ()2
After squaring
x-1 =
STEP
3
:
Solve the linear equation
Rearranged equation
x -1 = 0
Add 1 to both sides
x = 1
A possible solution is :
x = 1
STEP
4
:
Check that the solution is correct
Original equation
√x-1 =
Plug in 1 for x
√(1)-1 =
Simplify
√0 = 0
Solution checks !!
Solution is:
x = 1
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Hayden said the expression 3(2x+1) will always be greater than 3 because when I distribute the 3 to the numbers inside the parentheses, I will multiply 3 and 1 which is 3 since I will always be adding to the first part of the expression the final answer must be greater than 3
Answer:
9x.Step-by-step explanation:
Hayden is correct. 3(2x + 1) = 9x.
Here is explanation:
If you didn't know, 2x + 1 would simply be 3x.
So then, 3 * 3x would then be 9x.
Here is math explanation:
3(2x + 1)= 3(3x)= 3 * 3x= 9x.You now have your answer!
9x is your answer.PLEASE HELP!!
Suppose Lamar places
$4500 in an account that
pays 9% interest
compounded each year.
Assume that no withdrawals
are made from the account.
Follow the instructions
below.
Do not do any
rounding.
(a) Find the amount in the
account at the end of 1 year.
$__
(b) Find the amount in the
account at the end of 2
years.
$__
Answer:
A) $4,905 B) $5,310
Step-by-step explanation:
To get the answer, just simply add the amount by the percentage.
4,500 + 9% = A
For 2 years, just do 9 x 2 = 18 because it's 2 years
4,500 + 18% = B
Javier uses 1/8 teaspoon of nutmeg for each loaf of banana bread he makes. How many loaves f banana bread can Javier with 4 teaspoons of nutmeg?
Max is creating a playlist and can have at most 180 minutes of music. He currently has 45 minutes. How many more minutes of music could Max include in the playlist?
Answer:
max could still add 135 minutes of music into his playlist
Step-by-step explanation:
180 - 45 = 135
Answer:
So we know that Max's playlist can have at most 180 minutes of music meaning that our amount of music cannot exceed that number. We are also given that Max already has 45 minutes of music on there so we need to subtract that from 180 minutes to see how much we have left.
[tex]180\ minutes - 45\ minutes[/tex]
[tex]135\ minutes[/tex]
Max still has 135 minutes left on his playlist that he can fill up.
Hope this helps! Let me know if you have any questions
What is the relationship between body length and wingspan?
A - As the length increases, the
wingspan increases.
B - As the length increases, the
wingspan decreases.
C - As the length increases, the
wingspan stays the same.
D - There is no relationship
between the length and the
wingspan.
Answer:
A - As the length increases, the wingspan increases.
Very sorry if I got it wrong but I think it is A.
Answer:
I think it's A
Step-by-step explanation:
As the length increases the wingspan increases
Rita reads 48 chapters of a book in 6 hours.
What is her rate in chapters per hour?
Answer:
To find Rita's rate per hour, all you have to do is divide 48/6 which 8. This means that Rita reads 8 books per hour
Step-by-step explanation:
The angle below is the image formed when a figure containing /KLM is
dilated by a scale factor of 1/2 What is the measure of ZKLM?
M'
K'
48°
L'
Answer: 48 degrees
Step-by-step explanation:
Dilations preserve angle measure.
Convert the degree measure to radian measure as a multiple of pi and as a decimal rounded to three decimal places.
Step-by-step explanation:
remember, 360° (the full circle) = 2pi
a)
60° = 60/360 × 2pi = 2pi/6 = pi/3 = 1/3 × pi =
= 1.047197551... ≈ 1.047
b)
210° = 210/360 × 2pi = 210/180 × pi = 7/6 × pi =
= 3.665191429... ≈ 3.665
c)
225° = 225/360 × 2pi = 225/180 × pi = 45/36 × pi =
= 5/4 × pi = 3.926990817... ≈ 3.927
d)
120° = 120/360 × 2pi = 2pi/3 = 2/3 × pi =
= 2.094395102... ≈ 2.094
Which of these numbers are relatively prime to 51? Select all that apply. da) 84 Ob) 70 Oc) 62 0d) 30
Answer:
b) 70
c) 62
Step-by-step explanation:
Numbers are relatively prime when they have no factors in common.
__
The factors of 51 are ...
51 = 3×17
The factors of the other numbers are ...
84 = 2²×3×7 . . . . . has a factor of 3 in common with 51
70 = 2×5×7 . . . . . . no factors in common
62 = 2×31 . . . . . . . no factors in common
30 = 2×3×5 . . . . . has a factor of 3 in common with 51
The numbers 70 and 62 are relatively prime to 51.
In a cafe, there are 5 women, 4 men, and 2 employees. Write the following reports:
a) between women and men
b) between men and employees
c) between customers and employees
d) between women and the total number of people in the cafe
e) between men, employees and women
Warren's Scores
Absolute Deviation from Mean Score
mean - individual score
0
25
15
10
20
30
10
15
5
25
20
15
20
5
50 dollars is on Emma's way
Step-by-step explanation:
Not math is free okay but only mathematics is free
Why is 1/2 the same as 0.5
Answer:
it’s because 0.50 is half of 100 and 1/2 is a reduced fraction of 50/100.
Step-by-step explanation:
A random sample of 87 eighth grade students’ scores on a national mathematics assessment
test has a mean score of 283. The test results prompts a state school administrator to declare
that the mean score for the eighth graders on the exam is more than 280. Assume the
population deviation is 37. At α = 0.14, is there enough evidence to support the administrator’s
claim?
There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
What is a statistical hypothesis?A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:
The null hypothesis:
[tex]\mathbf{H_o \leq 283}[/tex]
The alternative hypothesis:
[tex]\mathbf{H_i > 283}[/tex]
From the population deviation, the Z test for the true mean can be computed as:
[tex]\mathbf{Z = \dfrac{\hat X - \mu _o}{\dfrac{\sigma}{\sqrt{n}}}}[/tex]
[tex]\mathbf{Z = \dfrac{283 -280}{\dfrac{37}{\sqrt{87}}}}[/tex]
Z = 0.756
Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:
P(z > 0.756)
P = 0.225
Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
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Number of Edges = [?]
=
Answer:
6
Step-by-step explanation:
A. 0.31
B 0.52
C 0.56
D 0.26
Answer:
0.56
Step-by-step explanation:
Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1. What is the probability of winning a prize? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
0.929
14
0.071
0.077
The probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
The odds against winning a prize in the raffle are 13:1
This means 13 to 1 odds for winning:
The probability of winning a prize:
Winning = 13/(13+1) = 0.929 or
=92.8571%
Losing = 1 - 0.9286 = (0.0714) or
=7.14%
Thus, the probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.
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Answer:
0.071
Step-by-step explanation:
If the odds against winning a prize are 13:1, then the odds in favor of winning a prize are 1:13.
If
x
=
−
9
and
y
=
2
, evaluate the following expression:
2
(
y
−
3
x
y
)
Pa help po salamat,
Answer:
- a frequency table is how much a number occurs, for example there are 4 10's in data list given so the frequency is 4
- the prompt asked for a width of 6 so 1 - 6, there was no numbers of 1, 2, 3, 4, 5, 6 in the list making the frequency 0
There are 24 pictures on a roll of film. Adelle had 84 pictures from her trip home. She said that 12 other pictures were spoiled. How many rolls of film did Adelle use?
Answer:
Total pictures = 84+12 = 96
roll of films = 96 / 24 = 4
she used 4 rolls
PLEASE HELP ME I NEED HELP
Answer:
5x + 7y = 37
Step-by-step explanation:
I hope it is the answer
The price of a certain computer stock t days after it is issued for sale is p ( t ) = 100 + 20t − 3t^2 dollars. The price of the stock initially rises, but eventually begins to fall. During what period of time does the stock price rise? 0 ≤ t ≤ If you owned the stock, after how many days would you sell it? days
The period of time does the stock price rise is 0 ≤ t ≤ 10/3.
It would sell in 3.34 days.
What is differentiation?It is the process of finding the derivative, or rate of change, of a function.
The price of a certain computer stock after t days is
p(t) = 100 + 20t - 3t²
Now, take the derivative of the given function and equate it to zero to find the critical points,
p'(t) = 20 - 6t = 0
t = 20/6
t = 10/3 days
Thus, there are two intervals in which the given function is defined
(0, 10/3) and (10/3, ∞)
For the interval (0,10/3 ),
p'(1) = 20 - 6(1) =14
For the interval (10/3, ∞),
p'(2) = 20 - 6(2) = 8
Since p'(t) in the interval (0, 10/3) indicates that the function is increasing.
0 < t <10/3
Since at the point t = 3.34 days it would sell.
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Pleas help ppppppp pls
Step-by-step explanation:
option A is correct answer
Martin has a piece of purple yarn that is 3 1/2 inches long he has a piece of yellow yarn that is 3 5/6 inches Long how much longer is the yellow yarn?
Answer:
2 1/3 longer
Step-by-step explanation:
yw ;)
Answer:
⅓
Step-by-step explanation:
Expression : 3 ⅚ - 3 ½
3 ½ would become 3 3/6.
3 ⅚ - 3 3/6 = 2/6 = 1/3
A rectangle has sides measuring (12x - 2) units and (x + 8) units.
Part A: What is the expression that represents the area of the rectangle? Show your work. (5 points)
Part B: What is the expression that represents the perimeter of the rectangle? Show your work. (5 points)
Part C: What are the degree and classification of the expression obtained in Part A? (3 points)
The area equation is:
A = (12x - 2)*(x + 8)
Which is a polynomial of degree 2, and the perimeter is:
P = 26x + 12
How to write the area of the rectangle?
Remember that for a rectangle of length L and width W, the area is written as:
A = L*W
Here we know that:
L = (12x - 2)
W = (x + 8)
Then the equation for the area is:
A = (12x - 2)*(x + 8).
How to write the perimeter?For a rectangle of length L and width W, the perimeter is:
P = 2*(L + W).
Replacing what we know, we get:
P = 2*(12x - 2 + x + 8) = 2*(13x + 6) = 26x + 12
What are the degree and classification of the area equation?The area equation is:
A = (12x - 2)*(x + 8).
Notice that this is a polynomial that is made of the product of two polynomials of degree 1, so this is a polynomial of degree 2.
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Which of the following are always congruent?
Answer:
B. Vertical angles
Step-by-step explanation:
Conic sections provide a format that makes them fairly uncomplicated to draw manually. The true sense
of mastery is to take a graph of a conic section and develop the equation
Your job is to simply come up with the equations for the two
graphs.
The equation of the ellipse will be (x - 5)² / 16 + (y + 7)² / 64 = 1 and the equation of the hyperbola will be (x + 1)² / 4 - (y)² / 64 = 1.
What is an ellipse?Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.
What is a hyperbola?The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.
Conic sections provide a format that makes them fairly uncomplicated to draw manually.
Then the equation of the ellipse will be
(x - 5)² / 16 + (y + 7)² / 64 = 1
Then the equation of the hyperbola will be
(x + 1)² / 4 - (y)² / 64 = 1
The graphs are given below.
More about the ellipse and hyperbola link is given below.
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