Answers
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.
Related Questions
Which expression represents the area of this figure in square feet?
Answers
Answer:
(3×2) + (3×4)
Step-by-step explanation:
One box's area is 3×2 and the other box's area is 3×4, so when you add them, you get the total area.
Malika went shopping for a new pair of pants. Sales tax where she lives is 4%. What number should she multiply the price of the pair of pants by to find the total plus tax in one step?
Answers
Answer:
[tex]\frac{104}{100}[/tex]
Step-by-step explanation:
You would multiply 104/100 to the price because it would be 100%, (basically the price), plus the 4/100, the tax.
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width, in units, of the rectangle?
Answers
Answer:
the width is 3
Step-by-step explanation:
you divide the 4 by 12
Answer:
2 units
Step-by-step explanation:
Area = Length × Width of a rectangle
If Length = L
Width = L-4
So 12 units = L×(L-4)
12 = L^2 -4L
L^2 -4L -12=0
Simplify this equation
L^2 + 2L -6L -12 = 0
L( L+2) - 6(L+2) = 0
(L+2) (L-6) = 0
L+2 =0 Or L-6=0
L=-2 Or L= +6
But L can't take a negative value
therefore L= 6
Now if we substitute and check,
L× (L-4) = 6×2=12 units
width = 6-4 =2 units
It takes Billy 40 minutes to drive to his friends house at his normal speed but it takes two hours if he drives 20 mph slower how far away is Billy's friends house
Answers
Answer:
Step-by-step explanation:
d/t=mph
Billy's friend's house is 20 miles away from him.
What is Speed?
The ratio of the distance travelled by an object to the time required to travel that distance.
Given that when Billy moves with his normal speed, it takes 40 min for him to reach his friend's house and if he slows his speed to 20 mph he takes 2 hours to reach the same distance.
We know, Speed = Distance/time
Let x be Billy's normal speed,
Therefore, 2x/3 = 2 (x - 20)
2x/3 = 2x - 40
x = 3x - 60
x = 30
Therefore, Billy's normal speed is 30 mph
Distance covered by him = 2 (30 - 20) = 20 mi
Hence, Billy's friend's house is 20 mi far.
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Calculate the value of c in the triangle
Answers
C^2 = (40)^2 + (9)^2
C^2 = 1600 + 81
C^2 = 1681
C = 41 cm
Please give me a brainliest answer
Jingle Corporation produces toy footballs. Each football sells for $9. 95 with a variable unit cost of $7. 10. Assuming a fixed cost of $11,400 what is Jingle's breakeven point?.
Answers
Answer:
Jingle's breakeven point is achievable if 4000 units are sold.
Step-by-step explanation:
Select the true statement about triangle ABC.
O A. sin A = cos B
O B. sin A = tan c
C. sin A= sin C
OD. sin A = cos C
Answers
Answer:
A=cos C
Step-by-step explanation:
mass–energy equivalence formulpa E
Helppp plzzz I will mark brainliestttt
Answers
Answer:
therefore the correct option is Y-⅓-¾(×-4)
Step-by-step explanation:
Equal of a line
Y-⅓=m(×-×1)
Y-⅓=¾(×-4
Answer:
y -1/3 = 3/4( x-4)
Step-by-step explanation:
We can use the point slope form of an equation of a line
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y -1/3 = 3/4( x-4)
Triangle MNO is similar to triangle PRS. Find the measure of side RS. Round
answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answers
the answer is x=3
The cost x of the Sennet family’s meal at a restaurant is $172.65, and they tip 20%. Write and use an equation to find the total cost y of the dinner.
Answers
Answer:
the answer would be 196.25
Step-by-step explanation:
Find 5 rational number between 11/13 and 13/11
Answers
Answer:
mark as brainliest for full answer rn Ima tell you steps you shoudl and get the ans how to
so 1st 11 by 13 and 13 by 11 take lcm multiply make denominator equal so then numbers between the both numerator of no. is the rational no. so
Step-by-step explanation:
11by 13
11 into 11 by 13 into 21
13 by 11
13 into 13
11 into 13
and frm numerator find the 5 rational no.
HELP PLEASE !!!
Which angles are congruent
if RI ≅ IT, what angles are congruent? 1, 2, or 3?
*THERE SHOULD BE 2 ANSWERS*
Answers
the answer is 32 because it as shown it has 23 and 67
the angle 1 and 3 are congruey
You take a road trip up north with your family. You begin a hike in Death Valley, California at an elevation of 86 meters. You hike up another 35 meters, then down another 148 meters to the other side of the hill. What elevation are you at when you reach the other side of the hill?
Answers
Answer: - 27 meters
Step-by-step explanation:
1. 86 m Start at 86 meters
2. +35 m Go up another 35 meters
3. -148 m Go down 148 meters.
4. - 27 meters Net change in elevation
The net result is a negative 27 meters in elevation from the start of the hike.
[tex] \: \: \: \: \: \: [/tex]
plss help me po!!
what is the measure of OS if MO = 6, OE =4 and OR=3?
a. 13
b. 8
c. 7.5
d. 7
explain your answer
see the attachment
need properly answer
nonsense answer will be reported
excellent answer will get brainlist and follow
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#nolinks
[tex] \: \: \: \: \: \: \: [/tex]
Answers
Answer:
B. 8Step-by-step explanation:
Intersecting chords theorem:
OS * OR = OM * OESubstitute values and solve for OS:
OS * 3 = 6 * 43OS = 24OS = 24/3OS = 8Correct choice is B
(b)
Write down the integer value of x that satisfies 16 < 3x < 20
Answers
Answer:
x must be 6 because 6 * 3 is 18 which is greater than 16 but less than 20. x can't be 6.1 or include decimals or fractions because integers are whole numbers just adding negative numbers so therefore 6 is the only answer for this question.
Step-by-step explanation:
Hope this is the answer you were looking for. If I am wrong I will try correcting my mistake. :)
Sam, the ranch cook, made sausage and bacon
for breakfast. Each cowboy could choose one
meat, and Sam had just enough. 3 of every 5
cowboys chose bacon. There are 60 cowboys.
How many chose bacon?
Answers
Answer:
36
Step-by-step explanation:
60 × 3 ÷ 5 that's basically it :))
36 out of 60 cowboys ahs chosen bacon over sausages.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Sam, the ranch cook, made sausage and bacon for breakfast.
Each cowboy could choose one meat, and Sam had just enough.
3 of every 5.
Also given that there are 60 cowboys so no. of meat is also 60 as each cowboy could choose one meat.
If 3 of every 5 cowboys chosen meat then the no. of cowboys chosen meat is,
= (3/5)×60.
= 36 cowboys.
learn more about ratios here :
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hi can someone help me....can't get the answer.....you need to find a+b+c+d
Answers
Answer:
B) 306°
Step-by-step explanation:
1. Pentagons have a sum of interior angles of 540°
2. Triangles have a sum of interior angles of 180°
3. Knowing that triangle EFA is isosceles, we know that
<FEA = *<FAE, so they are equal to: (180° - <F) /2 = (180° - 36°) / 2
= 144° / 2
= 72°
4. m<A + m<B + m<C + m<D + m<E = 540°
It is also given that **m<D = 90°,
so therefore m<A + m<B + m<C + m<E = 450°
5. Now to find a+b+c+d (m<a + m<b + m< c+ m<d),
m<a = m<E - 72° and m<d = m<A - 72°
This means that
m<a + m<b + m< c+ m<d = (m<A - 72°) + m<B + m<C + (m<E - 72°) = 450°
6. Finally,
m<a + m<b + m< c+ m<d = 450° - 72° - 72° = 306°
EXTRAS
* < is an angle symbol
** m<D means measure of angle D
The volume of a TV box needs to be 30.000 cubic centimeters. If the length is 10 less than four times the height and the width is less than the height, what is the required height of the box? PLS HELP I was hold h=40cm BUT HOWW?
Answers
Answer:
Since you do not explicitly give any formal restrictions on whether or not the dimensions must be integers, nor any relation with the width dimension. I found a solution with height equally to 20.768cm × width (19.768cm) × length (73.072 cm) Multiplying this together, we get 30,000 cubic cm
Determine the corresponding general form of each of the following vertex form
1. y = (x– 1)2
A. y = x2+ x + 1
B. y = x2 – 2x – 1
C. y = x2 – 2x + 1
2. y = (x + 4)2– 5
A. y = x2+ 8x – 11
B. y = x2+ 8x – 21
C. y = x2+ 8x + 21
3. y = -(x + 9)2– 10
A. y = -x2– 18x + 91
B. y = -x2– 18x – 91
C. y = -x2– 18x – 71
4. y = 3(x + 2)2– 18
A. y = 3x2+ 12x – 6
B. y = 3x2+ 12x + 6
C. y = 3x2+ 12x – 14
5. y = -2(x + 1)2– 16
A. y = -2x2– 4x – 18
B. y = -2x2– 4x – 2
C. y = -2x2– 4x – 14
6. y = 5(x + 5)2
A. y = 5x2+ 50x + 125
B. y = 5x2+ 50x + 25
C. y = 5x2+ 25x + 125
7. y =1/2(x + 8)2– 8
A. y = 1/2x2 + 8x + 24
B. y= 1/2x + 8x – 40
C. y = 1/2x2 + 16x + 24
8. y = (x + 3/2)2 + 3/4
A. y = x2+ 3x + 2
B. y = x2 + 6/4x + 12/16
C. y = x2 + 3x + 3
9. y = 2(x + 8)2– 5x
A. y = 2x2 + 32x + 59
B. y = 2x2 + 27x + 128
C. y = 2x2+ 37x + 64
10. y = -5(x – 4)2+ 15
A. y = -5x2+ 40x – 65
B. y = -5x2 – 40x – 65
C. y = -5x2+ 40x + 65
Answers
Answer:
Step-by-step explanation:
(a + b)² =a² + 2ab + b²
(a -b)² = a² - 2ab + b²
1) y = (x -1)²
y= x² - 2*x*1 + 1
y = x² - 2x + 1
Ans: C
2)y = (x +4)² + 5
y = x² +2*x*4 + 4² + 5
= x² + 8x + 16 + 5
y = x² + 8x + 21
C
3) y = -(x + 9)²- 10
y = - [x² + 18x + 81] - 10
= -x² - 18x - 81 - 10
y =-x² - 18x - 91
B
4) y = 3(x + 2)² - 18
y =3 [x² + 4x + 4] - 18
y = 3x² + 12x + 12 - 18
y =3x² + 12x - 6
A
5) y = -2(x + 1)² - 16
= -2[x² + 2x + 1] -16
= -2x² - 4x - 2 - 16
y = -2x² - 4x - 18
A
6) y = 5(x + 5)²
=5[x²+ 10x + 25]
y = 5x² +50x + 125
A
7)y = (1/2)(x + 8)² - 8
y = (1/2) (x² + 16x + 64) - 8
[tex]y = \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24[/tex]
A
8) y = (x + 3/2)² + 3/4
[tex]y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3[/tex]
C
9) y = 2[x² + 16x + 64] - 5x
y = 2x² + 32x + 64 - 5x
y =2x² + 27x + 6
Someone please help with this math question, it is not hard if you're good at math, but I'm on a test.
Answers
Answer:
3
Step-by-step explanation:
Midpoint means EF and FG are both 8 the whole thing is 19 so 19 - 16 = 3
8x+9y=60 2x-9y=-30 elimation method
Answers
Answer:
x=3 y=4
Step-by-step explanation:
8x+9y=60 + 2x-9y=-30
10x=30
x=3
y=4
help me with this please! :)
Answers
Answer:
108 - 9y
Step-by-step explanation:
9(12 - y)
9(12) - 9(y)
108 - 9y
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
- first distribute 9 over to 12 giving you 108.
- next distribute 9 over to y giving you 9y bc you don’t know what y is equal too.
- then put them together wich gives you 108-9y because the sign stays the same.
hope this helps:$
4(2-3x)=-2x-27
help plz
Answers
Answer:
x = 7/2
x = 3.5
x = 3 1/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
What is the equation of the line from the graph?
Answers
Answer:
y=3
Step-by-step explanation:
All points have the same y coordinate. Or
A line parallel to the x axis has slope 0, so it's y= 0x +3 that becomes y=3
Answer: Y=3
Step-by-step explanation:
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS
Answers
Answer:
1
Step-by-step explanation:
it means from Virginia to Florida you will drive more than 7 hours
Which statement about perfect cubes is true?
a:25 is a perfect cube because 25 = 5 + 5 + 5 + 5 + 5
30 is a perfect cube because 30 = 3 times 10
512 is a perfect cube because 512 = 8 times 8 times 8
1,875 is a perfect cube because 1,875=25 times 25 times 3
Answers
V = s^3 = 8^3 = 512cm^3 True.
Answer:
every answer:
A
B
B
B
B D E
A
C
C
C
D
Step-by-step explanation:
i got 100% on Edg
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.3% How much interest will the customer earn in 30 years
Answers
The formula for simple interest is A=P(1+rt)
A is the final amount
P is the initial amount
r is the rate
t is the amount of time
If you plug the information given into the formula:
3,000(1+1.3•30)=120,000
3,000 is the initial amount
1.3 is the rate
30 is the amount of time
120,000 is the final amount
The question asks how much interest the customer will earn, not what the final amount in the account will be.
Given that, you would subtract the initial amount to find out how much the customer earned.
120,000-3,000=117,000
hope this helps!
evalute ½(7-3)-(4-10)
Answers
Answer:
8
Step-by-step explanation:
1/2(4)-(-6) BODMAS method
2-(-6)
2+6
8
Having trouble using logarithmic differentiation!
Answers
Answer:
Having trouble using logarithmic differentiation!
does anyone know how to do this? find the X,Z,Y