Answer:
B
Step-by-step explanation:
Look at the expression inside the log( ). Work from the outside in, so to speak. First, there's a quotient (the cube root divided by 3x).
[tex]\log \left( \frac{\sqrt[3]{2-x}}{3x} \right) = \log\left(\sqrt[3]{2-x}}\right) - \log{3x}[/tex]
The cube root can be written using a rational exponent.
[tex]\log\left(\sqrt[3]{2-x}}\right) - \log{3x} = \log \left( (2-x)^{1/3} \right) - \log{3x}[/tex]
Use the exponent property to move the exponent 1/3 out.
[tex]\log (2-x)^{1/3} - \log{3x} = \frac{1}{3} \log{(2-x)} - \log{3x}[/tex]
This now matches answer choice B.
how do you even do this?! i’m so confused
Answer:
D.
Step-by-step explanation:
Pretend the y-axis is a wall, on the left side it is decreasing and on the right it is increasing, so A. and B. aren't correct. C. and D. are left, x<0 means on the left side of the y-axis because x (any number) is less than 0 and on the left side it is decreasing so C. isn't correct so D. is your answer because x>0 means x is greater than 0 so it's on the left side of the y-axis.
I hope this helps!
A box contains 6 black pens, 4 blue pens, and 7 red pens. Without looking, Clarissa randomly picks a black pen out of the box. If she chooses another pen out of the box without replacing the first one, what is the probability that she will pick a black pen both times? Write your answer as a percent.
Group of answer choices
Answer:
31.35%
Step-by-step explanation:
Initial reading:In the box, there are:
6 Black pens4 blue pens7 red pensTotal number of pens in the box = 6 + 4 + 7
= 17
If we count pens as outcomes the total number of possible outcomes are 17.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
New reading:Clarissa takes out a black pen from the box.
That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.
So now:
Number of black pens = 6 - 1 = 5 Total number of pens = 17 - 1 = 16- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Probability:[tex] \boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}[/tex]
If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.
That makes it,
the number of favorable outcomes = number of black pens= 5
and total outcomes = Total number of pens= 16
[tex] \implies\mathsf{probability = \frac{5}{16} }[/tex]
For showing it as some percent we'll just multiply the fraction by 100
[tex] \implies \mathsf{ \frac{5}{16} \times 100 }[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
As a percent:[tex] \implies \mathsf{ \underline{ 31.25 \: \% } }[/tex]
Which is the simplified form of the expression ? A. B. C. D.
1A. Tính:
a) ( -14) + 5 + 17 + 14 b) 40 +13 + ( -25) + ( -13)
c) ( -5) + ( -146)+ ( -15) + 14 d) ( -2) + (-5) + 20 + (- 13)
Answer:
7868
Step-by-step explanation:
Someone please help with my STAT homework PLEASE I will give brainliest
Hi there!
a. A stratified sample can be used by dividing the tenants into two groups: those who have children and those who do not have children. Then, a Sample Random Sample FROM EACH stratum can be conducted for a total of 16 tenants surveyed.
b. Using a cluster sample in this situation could introduce undercoverage or selection bias if there is a distinction between those on some floors and those on others. For example, tenants on lower floors might be more opposed to a playground (ex: noise, crowd, etc.) in comparison to those on higher floors.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the from the 1st hour to the 4th hour? Be sure to include the correct units of measurement
The rate of change is in Y over the change in X.
Y is the dollar amount at 4 is 78 at 1 it is 54, the change is 78 - 54 = 24.
X is the time the change from 4 to 1 is 3 ( 4 - 1 = 3)
The rate of change is 24 / 3 = 8.
The answer is 8 dollars per hour.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. the average rate of change from the 1st hour to the 4th hour is 8.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer.
At the end of the night, the driver calculates his profits and makes a graph to analyze the data.
The rate of change is in Y over the change in X.
Y is the dollar amount at 4 = 78 ,
at 1 = 54
the change is 78 - 54 = 24.
X is the time the change from 4 to 1 = 3
The change is ( 4 - 1 = 3)
The rate of change = 24 / 3 = 8.
Therefore, The answer is 8 dollars per hour.
Learn more about the unitary method;
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What was the frequency of rolling a sum greater than 5?
Answer:
on a 6-sided dice, 1/6
Step-by-step explanation:
Solve the equation for all real solutions in simplest form.
3x2 - 12x + 11 = x
Answer:
(13 + or - (sign) square root(37)) / 6
Step-by-step explanation:
First search up the quadratic formula which is
x = (- b + or - square root(b^2 - 4ac)) / 2a
and to find a, b, and c you need this formula
ax^2 + bx + c = 0 (btw this is the safest solution to finding your answer with a number in-front of a quadratic equation.)
Math:
a = 3, b = -13, c = 11
b = -13, because of the x on the other end of the equation as the equation above "ax^2 + bx + c = 0" you need the zero to proceed to this next step.
Side Note: You only take the number and not the variable, variables are x, y, w, z, or etc.
(- (- 13) + or - square root((-13)^2 - 4(3)(11) ) ) / 2 * 3
13 + or - square root(37) / 6
What is the inverse of g(x)=-2/x-8
ang mga gan yan Hindi ko alam Kase may mudule din ako bb
Need to find the scale factor plz help!!!
Answer:
if you're doing the scale factor of small to big it would be 1/4, but if you're doing from big to small it would be 4
50 POINTS
Consider this equation: 2/3x - 9 - 2x+2=1
Which is an equivalent equation after combining like terms?
O 8/3x - 11 = 1
O -4/3x - 7 = 1
O 8/3x - 7 = 1
O -4/3x - 11 = 1
Answer:
-4/3x-7=1
Step-by-step explanation:
just combine like terms
Daryl spent $4.68 on each pound of trail mix. He spent a total of $14.04. How many pounds of trail mix did he purchase?
Answer: 3 pounds
Step-by-step explanation:
brainliest me
Answer:
3
Step-by-step explanation:
14.04 divided by 4.68 is 3
The school is 100 meters from Miguel's house.
The following describes the most recent trip.
He walked 75 meters towards school in 3
min. Miguel realized that he left his iPad at
home.
• He tumed around and walked home at the
same speed.
He spent 5 min. looking for his iPad.
• Then he walked all the way to school at 50
meters per minute.
Use the graph tool to create a graph that accurately
represents Miguel's walk.
yeah
Answer:
i don't knoe if we can do it without the graph
2x-y=5
2x-5y=-31
elimation method
Answer:
y=9, x=7
Step-by-step explanation:
2x-y=5 --> equation 1
2x-5y=-31 --> equation 2
change signs of equation 1
-2x+y=-5
solving method
-2x+y=-5 (cut -2x and 2x because -2x+2x =0)
2x-5y=-31 (likewise +y-5y and -5-31)
-4y= -36 (since -4 is multiplying on right side it will divide)
y= -36/-4 (cut negative with negative and simplify equation)
y= 9
put value of y in equation 1
2x-y=5
2x-9=5
2x= 14
x=14/2
x=7
How do you write 9.6004 × 10^15 in standard form?
Answer:
9600400000000000 is in standard form
pre calc pls help me i really appreciate it
Answer:
[tex]a_{14} = 10496[/tex]
Step-by-step explanation:
A geometric sequence is of the form:
[tex]ar^0, ar^1, ar^2, ar^3, \cdot \cdot \cdot[/tex]
So the given values can be represent as:
[tex]1. \quad ar^5 = \frac{41}{256}\\2. \quad ar^{10} = -164[/tex]
So you have a system of equations with two unknows [tex]a[/tex] and [tex]r[/tex]. Then you can find one unknow in terms of the other.
[tex]a = \frac{-164}{r^{10}}[/tex]
Now replace [tex]a[/tex] in the first equation
[tex]\frac{-164}{r^{10}}r^5 = \frac{41}{256}\\\frac{-164}{r^{5}} = \frac{41}{256}\\r^5 = \frac{256 \cdot -164}{41} = -\frac{41984}{41}\\r = \sqrt[5]{-\frac{41984}{41}}\\[/tex]
You don't have to worry about the negative number inside the root, because is a odd root then you can find odd negative numbers that give me the desire result.
[tex]r = -\frac{4\sqrt[5]{41} }{\sqrt[5]{41}} \\r = -4[/tex]
For find [tex]a[/tex] only replace [tex]r[/tex] in whatever of the two equations.
[tex]-a4^5 = \frac{41}{256}\\-a1024 = \frac{41}{256}\\a = -\frac{41}{262144}[/tex]
After find [tex]a[/tex] and [tex]r[/tex] use the next formula for find the [tex]14^{th}[/tex] term.
[tex]ar^{13} = x\\-\frac{41}{262144} \cdot -4^{13} = x\\\\10496 = x[/tex]
Solve pls brainliest
Answer:
a is 0.085 b is 19.6%
Step-by-step explanation:
1% = 0.01 so 8.5 = 0.085
0.20 = 20% so 0.196 = 19.6%
Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?
He spent on transport = 20%
spent on breakfast = 60/-
spent on lunch = 15%
remaining amount = 340
rs he spent on transport = 20/100 × 340 =68
rs he spent on lunch = 15/100 × 340 = 51
Therefore, total of his pocket money = 68 + 51 + 60 + 340
= ₹519
Help quick
......... pls?
Answer:
6x^3yz^4
Step-by-step explanation:
(2x3)x^2xyz^4
6x^2+1yz^4
6x^3yz^4
A college professor wants to survey a sample of students taking his course. Here are some details about his course:He teaches555 sections of the course.There are250250250 total students across those sections.There are505050 graduate students and200200200 undergraduate students taking the course.Each section has about505050 students (some graduate and some undergraduate).The professor wants to take a sample of303030 students for a survey. He suspects that opinions on the survey may differ the most based on student type (graduate or undergraduate), so he wants to design his sample to take that into account.
Answer:
d
took the test
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
khan academy
how do you do this? appreciated for your help
Answer:
1/20 E
Step-by-step explanation:
11.74 - 11.69 = .05
.05 =1/20
Answer:
E. 1/ 20 seconds
Step-by-step explanation:
The distance covered by both the athletes is the same.
So, calculating the difference between their times:
Bryan completed the race in 11.74 secondsLuis completed the race in 11.69 secondsDIFFERENCE:That means, Luis completed the race before Bryan, and the difference between their times is:
= 11.74 - 11.69
= 0.05 seconds
CONVERSION:To convert this decimal into a fraction we'll multiply and divide the decimal by 100 (as the number of decimal places is "2", the decimal will be handled by 10 exponent "2" )
[tex]=0.05 \times \frac{100}{100}[/tex]
[tex]= \frac{5}{100}[/tex]
5's a common factor in both numerator and denominator hence, it cancels out
[tex]=\frac{1}{20}[/tex]
ANSWER:Therefore, we got [tex]\frac{1}{20}[/tex] seconds. That is option E.
Solve pls with explanation!
((mn^8)/n^9 )^3
WILL MARK BRAINLIEST!
Answer:
Step-by-step explanation:
m is only raised to the 3rd power. The 8 effects only the n
Numerator
m^3
(n^8 )^3 = n ^24
denominator
(n^9)^3 = n^27
Answer: m^3 * n^24 / n^27 = m^3 / n^(27 - 24) = (m/n )3
Hi!
Given:
[tex](\cfrac{mn^8}{n^9} )^3[/tex]
First, let's do what is inside the parenthesis. Since we're dividing, we subtract unlike exponents, and if there are any negatives, we switch them to make them positive:
[tex]8-9=-1[/tex]
Switch since it's negative:
[tex]\frac{m}{n} ^3[/tex]
Can someone help me with this one. I got it wrong
Answer:
I believe the answer is D
Step-by-step explanation:
Can someone tell me which one is the answer? Am I wrong or correct?
Answer:
I don't believe your wrong mate
help please!! I don't get it :(
Answer:
90 degree
Step-by-step explanation:
The HCF of 50 and 80
Graph the polygon and its image after a dilation centered at C(1,1)
with scale factor k=0.5
.
J(3,1), K(5,−3), L(5,5), M(3,7)
Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.
DIlations are defined by the follwing operation:
[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation.[tex]k[/tex] - Dilation factor.[tex]P(x,y)[/tex] - Original point of the polygon.[tex]P'(x,y)[/tex] - Dilated point of the polygon.If we know that [tex]O(x,y) = (1,1)[/tex], [tex]k = 0.5[/tex], [tex]J(x,y) = (3,1)[/tex], [tex]K(x,y) = (5, -3)[/tex], [tex]L(x,y) = (5,5)[/tex] and [tex]M(x,y) = (3,7)[/tex], then the coordinates of the new polygon are:
[tex]J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)][/tex]
[tex]J'(x,y) = (1,1)+0.5\cdot (2,0)[/tex]
[tex]J'(x,y) = (1,1) +(1,0)[/tex]
[tex]J'(x,y) = (2,1)[/tex]
[tex]K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)][/tex]
[tex]K'(x,y) = (1,1) +0.5\cdot (4,-4)[/tex]
[tex]K'(x,y) = (1,1) +(2,-2)[/tex]
[tex]K'(x,y) = (3,-1)[/tex]
[tex]L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)][/tex]
[tex]L'(x,y) = (1,1) + 0.5\cdot (4,4)[/tex]
[tex]L'(x,y) = (1,1) + (2,2)[/tex]
[tex]L'(x,y) = (3,3)[/tex]
[tex]M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)][/tex]
[tex]M'(x,y) = (1,1) +0.5\cdot (2,6)[/tex]
[tex]M'(x,y) = (1,1) +(1,3)[/tex]
[tex]M'(x,y) = (2,4)[/tex]
Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.
We kindly invite to check this question on dilations: https://brainly.com/question/13176891
[tex] \frac{2 + 3i}{3 + 4i} [/tex]
find the value quickly
[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]
[tex]=\frac{6-8i+9i+12}{25} [/tex]
[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]
[tex]=\frac{18+i}{25} [/tex]
[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]
_______
Hope it helps :) ⚜
Write the following number in expanded form.
176,945,596
Answer:
= 176,945,596
Step-by-step explanation:
100,000,000 + 70,000,000 + 6,000,000 + 900,000 + 40,000 + 5,000 + 500 + 90 + 6 = 176,945,596
= 176,945,596
(Hope this helps can I pls have brainlist (crown)☺️)
What is the slope of the line with equation 2x−5y=52?
Answer:
m = 2/5
Step-by-step explanation:
2x - 5y = 52
-5y = -2x + 52
y = 2/5x - 52/5
The slope of the line with equation 2x−5y=52 is 2/5.
The given equation of line is 2x−5y=52.
What is the slope of a equation?The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.
The given equation 2x−5y=52 can be rewritten as
2x-52=5y
⇒ y = 2x/5-52/5
Now, compare y = 2x/5-52/5 with the standard form of an equation y=mx+c
So, m=2/5
Therefore, the slope of the line with equation 2x−5y=52 is 2/5.
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