Answer:
x = 2
Step-by-step explanation:
(x² logₓ27) log₉x = x + 4
Use change of base formula.
x² (log 27 / log x) (log x / log 9) = x + 4
Simplify.
x² (log 27 / log 9) = x + 4
x² (log 3³ / log 3²) = x + 4
x² (3 log 3 / (2 log 3)) = x + 4
x² (3 / 2) = x + 4
3x² = 2x + 8
3x² − 2x − 8 = 0
(x − 2) (3x + 4) = 0
x = 2 or -4/3
Since x > 0, x = 2.
Jennifer, Kate, and Lucy line up in random order for basketball practice. What is the probability that the girls will line up from front to back in alphabetical order of their names?
A• 1/3
B• 1/6
C• 2/3
D• 1/4
Answer:
1/6, because there is only one way it's possible and there are 6 outcomes.
Step-by-step explanation:
please help
This spinner has 6 equal sections. what are the odds in simplest form against spinning blue or yellow?
A) 1:2
B) 2:3
C) 3:2
D) 2:1
Answer:
D
Step-by-step explanation:
hope this helps!!! good luck:)
Answer: its C 3:2
Step-by-step explanation: see how it has the word AGAINST that means the opposite of the word FAVOR if the Question was. . .
This spinner has 6 equal sections. what are the odds in simplest form FAVOR spinning blue or yellow? then the Answer would be B 2:3
but sense the Question is. . .
This spinner has 6 equal sections. what are the odds in simplest form AGAINST spinning blue or yellow?
your Answer is . . .
C) 3 : 2
Have a wonderful day :D
please help me please please please please
Answer: [tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3}-(-5)=[/tex]
Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.
[tex]-\frac{2*3+1}{3} -(-5)=[/tex]
Solve;
[tex]-\frac{6+1}{3} -(-5)=[/tex]
[tex]-\frac{7}{3} -(-5)=[/tex]
Now, get rid of the two negatives by multiplying.
[tex]-\frac{7}{3} +5=[/tex]
Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.
[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]
To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.
[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]
Solve;
[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]
Subtract numerators and keep the same denominator.
[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]
Convert to a mixed number. To do this, first, divide:
8/3=2
6
----
2
The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]
Doug purchased land for $8,000 in 1995. The year value of the land depreciated by 4% each year thereafter. Use an exponential function to find the approximate value of the land in 2002.
Answer:
Option C. $6,012
Step-by-step explanation:
we know that
The formula to calculate the depreciated value is equal to
[tex]V=P(1-r)^{t}[/tex]
where
V is the the depreciated value
P is the original value
r is the rate of depreciation in decimal
t is Number of Time Periods
in this problem we have
t = 7 years
P = $8,000
r = 0.04
substitute in the formula above
[tex]V = 8,000(1-0.04)^{7} = 6,012[/tex]
Hope this helps :)
Someone plz helppppp
Answer: 2/6 - 33.33%
Step-by-step explanation: there are 6 sides. each side counts as a fraction of your whole. count how many sides you have and the number is the whole. so you have 6 sides. each side is 1/6 of your hexagon. there are 2 sides that are shaded in grey. so you get 2/6 because you count how many you have. To get a percentage you divide the fraction by the whole. then move the amount two sides to the left
What is $526.36 rounded to the nearest 10 dollars?
526.36 rounded will be =
= 530
help please asap :))
Answer:
40
Step-by-step explanation: 13 + 6 + 15 + 6 = 40 ( : - ]
HELPPPP
Scores on a math placement exam at UGA are normally distributed with a mean of 76 and a standard deviation of 6. What is the probability that an incoming freshman scores between 61.6 and 80.2?
Answer:
The probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498
Step-by-step explanation:
We are given that Scores on a math placement exam at UGA are normally distributed with a mean of 76 and a standard deviation of 6.
Mean = [tex]\mu = 76[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
we are supposed to find the probability that an incoming freshman scores between 61.6 and 80.2 i.e. P(61.6<x<80.2)
Formula : [tex]Z=\frac{x-\mu}{\sigma}[/tex]
At x = 61.6
So,[tex]Z=\frac{61.6-76}{6}[/tex]
Z=-2.4
Refer the z table for p value
So,p value =0.0082
At x = 80.2
So,[tex]Z=\frac{80.2-76}{6}[/tex]
Z=0.7
Refer the z table for p value
So,p value =0.7580
P(61.6<x<80.2)=P(x<80.2)-P(x<61.6)=0.7580-0.0082=0.7498
Hence the probability that an incoming freshman scores between 61.6 and 80.2 is 0.7498
Express your answer in scientific notation. 4.9 x 10^4 - 8200
Answer:
4.0800*10^4
Step-by-step explanation:
4.9*10^4=49000
49000-8200=40800
since we can only have base numbers 1-9 in scientific notation, we need to move the decimal left 4 places:
4.0800*10^4
Hope this helps!
The scientific notation, of the given number is 4.0800×10⁴
Given the number is 4.9×10⁴-8200
4.9×10⁴ = 49000
49000-8200 = 40800
Since we can only have base numbers 1-9 in scientific notation, we need to move the decimal left 4 places:
4.0800×10⁴
Hence, the scientific notation, of the given number is 4.0800×10⁴
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help will give you brainliest!!!
Answer:
Hello There Again. The correct answer is B. C. And E.
Explanation:
Because it shows that Stacy section of the numbers 2, 3, 4, 5, and 6 to play they game. but the statement Is D. but why is D. because it say that it is less likely that the power will on add numbered section and why i pick E. because it shows that Stacy use the spinner of the six number to play the game. And why it B. because of the pointer of the landing is a even-numbered section. Hope It Helps! .ω.
What is the constant in -4×_9
Answer:
Do u have like a worksheet for the problem because that kinda confusing , but I would love to help if you could screens shot or post the pic.
Step-by-step explanation:
What number should be added to x^2−24x in order to complete the square?
-144
-24
12
144
Answer:
x^2 - 24x + 144
Step-by-step explanation:
24/2(1)= 24/2= 12
(12)^2= 144
Below is the graph of equation y=− |x−2| +2. Use this graph to find all values of x such that y>0
Answer:
Value of y > 0 at [tex]x = \{0, 1, 2, 3, 4\}[/tex]
Step-by-step explanation:
As seen from the graph attached in answer area as well, The graph is above x-axis (i.e. y value of equation) only when x has values {0, 1, 2, 3, 4}.
At x = 0:
[tex]y = -|0-2| + 2 \\\Rightarrow -2 + 2\\ \Rightarrow y = 0[/tex]
At x = 1:
[tex]y = -|0-1| + 2 \\\Rightarrow -1 + 2\\ \Rightarrow y = 1[/tex]
At x = 2:
[tex]y = -|2-2| + 2 \\\Rightarrow 0 + 2\\ \Rightarrow y = 2[/tex]
At x = 3:
[tex]y = -|3-2| + 2 \\\Rightarrow -1 + 2\\ \Rightarrow y = 1[/tex]
At x = 4:
[tex]y = -|4-2| + 2 \\\Rightarrow -2 + 2\\ \Rightarrow y = 0[/tex]
Value of y > 0 at [tex]x = \{0, 1, 2, 3, 4\}[/tex]
By visual inspection, determine the best-fitting regression
model for the data plot below.
Answer:
A. linear
Step-by-step explanation:
A linear model is the best-fitting regression model for the data plot because for similar variations in x values, the variation in y values are also similar, that is, if you take points (x1, y1), (x2, y2) and (x3, y3) the y1 - y2 is similar to y2 - y3, when x2 - x1 is also similar to x3 - x2.
Answer:
Linear
Just took the quiz!
A cereal box is a rectangular prism.
Find the surface area of the cereal box.
H =20 cm
L =10 cm
W = 3 cm
Answer:
580 cm squared
Step-by-step explanation:
(20 x 10)2 = 400
(20 x 3)2 = 120
(10 x 3)2 = 60
400 + 120 + 60 =
580
Find the area. Will mark brainliest.
Answer:
11.56m²
Step-by-step explanation:
3.4×3.4=11.56m²
Answer:
11.56
Step-by-step explanation:
Lines m and pare parallel. If the slope of line mis
1
25
what is the slope of
line p?
Answer:
The slopes of line m and p will be the same: 1/25 (I think thats what that says)
Step-by-step explanation:
when two lines are parallel it means they will never touch, and so they must have the same slope. If their slopes were different (even by 1 decimal), they would touch and so would no longer be parallel.
If lines m and p are parallel, they have the same slope. so slope of line p is 1/25
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that the slope of line m is 1/25, we can conclude that the slope of line p is also 1/25.
This is because parallel lines have equal slopes.
That is, if two lines are parallel, they have the same steepness or angle of inclination, which means they have the same slope. Therefore, the slope of line p is also 1/25.
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The complete question:
Lines m and p parallel. If the slope of line m is 1/25. what is the slope of line p?
Type the correct answer in the box. Use numerals instead of words.
Jim Is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends. The average number of visits
on the website for 5 weeks is given in the table below.
Number of Weeks Avg. Number of Visits
0
48,000
1
24,000
2
12,000
3
6,000
4
3,000
1,500
5
9.
The percent decrease in the average number of visits each week since the end of the season was
Answer:50%
Step-by-step explanation:
Each week the number decreased by 1/2 which is equal to 50%. Therefore the average number of decrease per week is 50%. Hope this helped!!
could I by any chance get a brainliest?
The percent decrease in the average number of visits each week since the end of the season was 50%.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends.
The average number of visits on the website for 5 weeks is given
The average number of visits decreased by half each week.
So the percent decrease in the average number of visits each week since the end of the season was 50%
Therefore, the percent decrease in the average number of visits each week since the end of the season was 50%.
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Solve for x
8+10x-3x^2=0
Answer: x = 4
or x= -2/3 = -0.667
Step-by-step explanation:
I have no access at 6 pm
Answer:
A and E
Step-by-step explanation:
I would plug in N as any number just to see if they are equal. I did 5.
A. 28(5)-35= -105
B. 28(5-35)= -840
C. 28(5-7)= -56
D. 7(4*5-35)= -105
E. 7(4*5-5)= 105
Helppp meeee pleaseeeee!!!A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1.
How many solutions are possible for this situation?
Infinitely many solutions exist because the two situations describe the same line.
Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts.
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.
Answer:
Answer: No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
Step-by-step explanation:
Let n equal the number, and let x equal the smaller number. Let's put this into equation form to make everything easier to understand.
x < n
n = 2x + 3
n = 2x + 1
Note how n equals two different things. In other words, how can n equal 2x + 3, but also equal 2x + 1? The equations have different y-intercepts but the same slope, meaning there are no solutions, or points where the lines would intercept. The only answer that highlights this is the third option.
To further clear things up, let's go through the other answers to make sure we're correct.
Answer 1: Two situations do not describe the exact same line; all parts of the question are unique.
Answer 2: The equations do not have different slopes, so this reasoning is invalid.
Answer 4: The situations describe two equations with the same slope but different y-intercept, not the other way around. In equation form, 2 = 2, but 3 ≠ 1.
Therefore, the only correct answer is option 3.
Help me please, not very good at math. Thank u:)
Answer:
76cm^2
Step-by-step explanation:
Separate the shape into two different rectangles. Then add the area of the rectangles together.
4 x 4 = 16
6 x 10 = 60
16 + 60 = 76
Can Someone PLEASE Help ME!
Answer:
A. 4 Feet 1/2 inches
Step-by-step explanation:
54/12=4.5
Answer:
4 ft 6 inches
Step-by-step explanation:
we know that 12 inches is 1 ft
24 inches is 2 ft
36 inches is 3 ft
48 inches is 4 ft
60 inches is 5 ft
So 4 ft
54 - 48 = 6 left over
4 ft 6 inches
ahmed sells beaded necklaces each large necklace sells for $5.60 and each small necklace sells for $4.50 how much will he earn from selling 3 large necklaces and 6 small necklaces ?
Answer:
$43.8
Step-by-step explanation:
Large necklace = LN
Small necklace = SM
LN sells for 5.60
SN sells for 4.50
LN = 5.60
SN = 4.50
you have 3 LN and 6 SN.
LN total = 3 x $5.60 = 16.8
SN total = 6 x 4.50 = 27
Add both the totals.
27 + 16.8 = 43.8
Hope this helps!
Answer:
HE/SHE earns $43.80.
Step-by-step explanation:
5.60 x 3 = $16.80
4.50 x 6 = $27.00
In totle:
16.80+27.00= 43.8which of the following graph represents the equation y=2x+2?
Which description best compared the graph of the two functions below?
Answer:
The description that best compares the graph of the two function is:
The line for function A is steeper.
Step-by-step explanation:
Answer:
The line for function a is a steeper
Step-by-step explanation:
A dice has the numbers 1-6 on it. Which of the events below has a higher probability of occuring?
а
an odd number
b
an even number
C
a number less than 5
d
a number greater than 3
Answer:
a number less than five
Answer:
So the number that has the greatest probability is a
Number less than 5
Step-by-step explanation:
odd numbr is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
Even number is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
a number less than 5 is [tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex]
A number greater than 3 is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
In the diagram ABD and BDC are supplementary, the measure of EDF = 9x, and the measure of ABD = (2x + 105).
Based on this information, which equation can be used to find the value of x?
Options:
1. 9x=2x+105
2. 2x+105+9x=180
3. 2x+105+9x=80
4. 2x+106-9x=90
Answer:
2) 2x + 105 + 9x = 180
Step-by-step explanation:
∠BDC = ∠EDF { vertically opposite angles are equal}
∠BDC = 9x
∠ABD + ∠BDC = 180 {supplementary}
2x + 105 + 9x = 180
please answer this and please provide explanation since I need to explain in homework thank you I really appreciate it
Answer:
27648inches÷64inches=432 tiles
Step-by-step explanation:tiles cost 3456
A school class went on a field trip to see a magician perform there were 17 females 20 males in the class the magicians randomly selected a volunteer from the audience in which had 52 females and 68 males given that the randomly selected audience member is a student from the class which equation can be used to find the probability p that the perdimos also a female?please help does anyone know the answer
Answer:
17/20
Step-by-step explanation: