Step-by-step explanation:
36 = 4×9 = 2×2×3×3
so,
ln(36) = ln(2×2×3×3) = ln(2) + ln(2) + ln(3) + ln(3) =
= 2×ln(2) + 2×ln(3) = 2×(ln(2) + ln(3))
look at the example. how would the quotient change if the total number of seats was 3,200 instead of 320? explain
If the total number of seats is 3200 instead of 320, then the quotient will change by a product of 10
The dividends are given as: 3200 and 320
By comparing 3200 and 320, we have:
3200 > 320 i.e. 3200 is greater than 3203200 = 320 * 10 i.e. 3200 is greater than 320 ten timesQuotient is simply the result gotten from dividing two quantities.
This means that:
If the total number of seats is 3200 instead of 320, then the quotient will change by a product of 10
Read more about quotients at:
https://brainly.com/question/16134410
118 divided by 8
sfw ertvw4brt4ryt4yyydhfertgerf
Answer:
14.75 or 14 with remainder 6
Answer: 14.75
Step-by-step explanation:
[tex]\sqrt{6}\:\times \sqrt{6}\:[/tex]
Answer:
6
Step-by-step explanation:
[tex]\sqrt{6} *\sqrt{6}[/tex]
[tex]\sqrt{6*6} \\\sqrt{6^2}[/tex]
6
write the equation of the line that passes through the points (3,1) and (-2,6) in slope intercept form
Answer:
y = - x + 4
Step-by-step explanation:
First find slope:
6-1/-2-3 = 5/-5 = -1
Then plug one point and slope into point slope form: y-y1 = k (x-x1)
Plug in (3, 1) and slope -1 --> y-1 = -1(x-3)
Simplify --> y - 1 = - x + 4
Then add 1 to both sides --> y = -x + 4
Which of the following statements is NOT true?
ILL GIVE BRAINLIEST
Answer:
The answer to that is the ratios of the rise to the run for the triangles are equivalent
The length of the rectangle is 2x + 8 cm and the width is 2cm . The area of the rectangle is 12 cm
Answer:
x = - 1
Step-by-step explanation:
Length ( l ) = 2x + 8 cm
Width / Breadth ( b ) = 2 cm
Area ( rectangle ) = 12 cm
Formula : -
Area ( rectangle ) = lb
12 = ( 2x + 8 ) ( 2 )
Divide 2 on both sides,
12 / 2 = ( 2x + 8 ) ( 2 ) / 2
6 = 2x + 8
2x + 8 = 6
2x = 6 - 8
2x = - 2
x = - 2 / 2
x = - 1
a. What iS the slope of the line that passes through (-2, 3) and (4, -5)?
Answer:
slope = - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 3 ) and (x₂, y₂ ) = (4, - 5 )
m = [tex]\frac{-5-3}{4-(-2)}[/tex] = [tex]\frac{-8}{4+2}[/tex] = [tex]\frac{-8}{6}[/tex] = - [tex]\frac{4}{3}[/tex]
PLEASE HELP GIVING BRAINLIEST! :)
Answer:
10
Step-by-step explanation:
3a+b - 4
Let a =3 and b = 5
3(3) +5 -4
Multiply
9+5-4
Add and subtract
14-4
10
Answer:
10
Step-by-step explanation:
a = 3b = 5= 3a + b - 4
= 3(3) + 5 - 4
= (3 . 3) + 5 - 4
= 9 + 5 - 4
= 9 + 1
= 10
what is h(6)?
PLS HELP I FAILED THIS TEST TWICE
Answer:
the answer should be b (14)
Answer: hydrogen 6
Step-by-step explanation:
Simple interest
A. cannot be paid by credit unions.
B. cannot be expressed as a percentage.
C. is another name for compound interest.
D. is paid only on the original principal.
Step-by-step explanation:
option D is correct according to my understanding
hope this answer helps you dear! take care
ERROR ANALYSIS Describe and correct the error in identifying the terms, coefficients, and constants in the algebraic expression 2x2y
Given the algebraic expression, [tex]2x^2y[/tex], the error in the analysis shown in the diagram attached is the wrong listing of terms.
The correct analysis is:
Term: [tex]2x^2y[/tex]Coefficient: 2Constant: NoneRecall:
Given an expression, say, [tex]2x^2 + 4x + 5[/tex].
The expression has 3 terms, namely: [tex]2x^2, 4x, $ and 5[/tex]The coefficients are: 2 and 4.The constant is: 5Thus, we are given the expression, [tex]2x^2y[/tex],
The expression has only 1 term: [tex]2x^2y[/tex]
1 coefficient: 2
It has no constant.
Therefore, given the algebraic expression, [tex]2x^2y[/tex], the error in the analysis shown in the diagram attached is the wrong listing of terms.
The correct analysis is:
Term: [tex]2x^2y[/tex]Coefficient: 2Constant: NoneLearn more here:
https://brainly.com/question/4839601
What are corresponding angles
Answer:
the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
Write the function for the graph.
A. f(x)= 4•(2)^x
B. f(x)= 2•(4)^x
C. f(x)= 8•(4)^x
D. f(x)= 4•(8)^x
A) f(x) = 4•(2)^x
Step-by-step explanation:When substituting in the values of x and y into the functions, the only function that works for both (0,4) and (1,8) is A.
8 = 4•(2)^1 = 4 x 2 = 8
4 = 4•(2)^0 = 4 x 1 = 4
(2x + 3) times (5x + 6)
helpppp me please!!!! asapppppppo thank you!
Answer:
3
Step-by-step explanation:
=> y= log _5 125
=> y = log _5 5³
Using properties of log ,
=> y = 3 log_5 5
= > y = 3*1
=> y= 3
[tex]y = log_{5}(125) \\ = > y = log_{5}( {5}^{3} ) \\ = > y = 3 log_{5}(5) \\ = > y = 3 \times 1 \\ = > y = 3[/tex]
Answer:y = 3
Hope it helps.
Do comment if you have any query.
A bag contains 7 milk and 11 dark chocolates.
A sweet is selected at random.
What is the probability of choosing:
Answer and explanation:
Milk Chocolate would be 7/18
Dark Chocolate will be 11/18
Milk Chocolate is unlikely to be chosen
Dark Chocolate is likely to be chosen
Expand abs simplify root 5 ( root 10 + root 2)
Answer:
5\sqrt{2} + \sqrt{10}
Step-by-step explanation:
I assume the exp as [tex]\sqrt{5} (\sqrt{10} + \sqrt{2} )[/tex]
[tex]\sqrt{50 } + \sqrt{10}[/tex]
[tex]\sqrt{25*2} +\sqrt{10}[/tex]
[tex]5\sqrt{2} + \sqrt{10}[/tex]
The simplified form of the given expression [tex]\sqrt{5} (\sqrt{10} +\sqrt{2} )[/tex] will be [tex]5\sqrt{2} + \sqrt{10}[/tex].
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
The given expression is as follows;
[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} )\\\\\sqrt{5} \times \sqrt{10} +\sqrt{5} \times\sqrt{2} \\\\\sqrt{25 \times 2} +\sqrt{10}\\\\5\sqrt{2} +\sqrt{10}[/tex]
Hence, the simplified form of the given expression is [tex]5\sqrt{2} + \sqrt{10}[/tex].
Learn more about square;
https://brainly.com/question/14198272
#SPJ2
If x+y= -4 and xy=2, then find the value of x²+y²
Answer:
x² + y² = 12
Step-by-step explanation:
x + y = -4
xy = 2
x² + y² = (x+y)² - 2xy = (-4)² - 2(2) = 16 - 4 = 12
Determine which of the lines, if any, are parallel or perpendicular.
Line a: 4y - 12x = 20
Line b: 3y = -x + 2
Linec: y = 3x - 1
Step-by-step explanation:
ma=3,mb=_1/3, mc=3a and c are parallelb aree perpendicular to a and cThe measure of an angle is 137°. What is the measure of its supplementary angle?
Answer:
43°
Step-by-step explanation:
that is the measure of its supplementary angle
Answer:
43 degrees
Step-by-step explanation:
180 - 137 = 43
hope this helped!
please help!!! i will make you brainliest!!
Step-by-step explanation:
Here's the answer, goodluck
If angle 4 = 100, what is angle 6?
Answer: 100
Step-by-step explanation:
Because the two horizontal lines are parallel and diagonal splits them, 4 and 6 are congruent so they have the same angle.
4, 2, 8 and 6 all have the same angles.
1, 3, 5 and 7 all have the same angles as well.
The cylinder has a radius of 3 inches and a height of 9 inches. Find the volume of the
cylinder rounded to the nearest tenth.
Answer:
Volume = 254.3 inches². Step-by-step explanation: The formula for determining the volume of a cylinder is expressed as.Step-by-step explanation:
solve pls brainliest
Answer:
Mixed Number: 5 [tex]\frac{7}{10}[/tex]
Improper Fraction:[tex]\frac{57}{10}[/tex]
Step-by-step explanation:
A mixed number is when you express the decimal as a fraction, 0.7 is the same as [tex]\frac{7}{10}[/tex], so 5[tex]\frac{7}{10}[/tex] is your answer.
An improper fraction is a fraction where the numerator is bigger than the denominator, to do this you multipy the whole number 5, which can be written as [tex]\frac{5}{1}[/tex], by [tex]\frac{10}{10}[/tex].
[tex]\frac{5}{1}[/tex]·[tex]\frac{10}{10}[/tex]=[tex]\frac{50}{10}[/tex]
Then add 0.7, or [tex]\frac{7}{10}[/tex].
[tex]\frac{50}{10}[/tex]+[tex]\frac{7}{10}[/tex]=[tex]\frac{57}{10}[/tex]
Would you please mark my answer brainliest if it helped you? :D
please i need a helping hand
Jessie's mom gave her some money to go shopping. She has $100 to spend on new shirts at the store. The store Jessie chooses is having a sale; all shirts cost $10. The function T(s)=10s represents the total cost of the shirts, where s is the number of shirts purchased. What is the domain of T(s) in this context?
Question 9 options:
all non-negative integers that are multiples of 10
all whole numbers
all non-negative rational numbers
all non-negative integers less than or equal to 10
Answer:
T(s)'s domain is A
Hope This Helps!!!
Answer:
d
Step-by-step explanation:
the shirts are only 10 dollars so that means that the domain is all negative numbers that are either equal to or less than 10, not the multiples.
11. Commercial jets fly between 30,000 ft and 36,000 ft. About how many hours of growing could
pass before the beanstalk might interfere with commercial aircrafts? Explain how you got your
answer
An exponential function is a function that increases rapidly as the time increases.
The number of hours that passes before the magical beanstalk interferes with commercial flight is approximately 9.384 hours.Reasons:
The function that gives the height of a beanstalk is presented as follows;
b(t) = [tex]3^t[/tex]
When the height is 30,000 ft., we have;
30,000 = [tex]3^t[/tex]
㏑(30,000) = t·㏑(3)
[tex]\displaystyle t = \mathbf{\frac{ln(30,000)}{ln(3)}} \approx 9.384[/tex]
The time it would take the beanstalk to grow 30,000 ft., t ≈ 9.384 hours
Similarly, the time it would take the beanstalk to grow to 36,000 ft. is found as follows;
[tex]\displaystyle t_{36,000} = \mathbf{\frac{ln(36,000)}{ln(3)}} \approx 9.55[/tex]
The time it would take the beanstalk to grow 36,000 ft., t ≈ 9.55 hours
The number of hours it will take the beanstalk to grow to 30,000 feet at
which it might interfere with commercial aircrafts is 9.384 hours.
Learn more here:
https://brainly.com/question/13917934
The math club had 20 members. Now it has 30 members. Find the percent of change.
The membership increased from 20 to 30.
That's an increase of 10 members.
10 members is how much of the original 20 ?
10 members is HALF of the original 20.
The membership increased by HALF.
The membership increased by 50% .
If m < WXY = 160 what are the m< WXZ and m < ZXY
Answer:
m< WXZ = 73
m< ZXY = 87
Step-by-step explanation:
WXY = WXZ + ZXY
WXY = 5x+8+7x-4
WXY = 12x+4
m < WXY = 160
160 = 12x + 4
156 = 12x
13 = x
WXZ = 5x + 8
= 5*13 + 8
= 73
ZXY = 7x - 4
= 7*13 - 4
= 87
[tex]\\ \sf\Rrightarrow 5x+8+7x-4=160[/tex]
[tex]\\ \sf\Rrightarrow 12x+4=160[/tex]
[tex]\\ \sf\Rrightarrow 12x=156[/tex]
[tex]\\ \sf\Rrightarrow x=13[/tex]
<WXY=5(13)+8=65+8=73<ZXY=7(13)-4=91-4=87[tex]\sqrt{7} \times \sqrt{7}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required Answer is ~
[tex] \boxed{ \boxed{7}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex] \sqrt{7} \times \sqrt{7} [/tex][tex]( \sqrt{7} ) {}^{2} [/tex][tex]{( {7}^ {\frac{1}{2} }) }^{2} [/tex][tex]{(7) }^{ \frac{1}{2} \times 2} [/tex][tex] {7}^{1} [/tex][tex]7[/tex][tex]\mathrm{✌TeeNForeveR✌}[/tex]
Answer:
[tex]\sf \longmapsto7[/tex]
Step-by-step explanation:
[tex] \sf \longmapsto \: \sqrt{7 }\times \sqrt{7} [/tex]
[tex]\sf \longmapsto \sqrt{7} [/tex]
[tex]\sf \longmapsto7[/tex]
PLS HELP WILL MARK BRAINLIEST!!!!!!!!
answer both questions (they are two separate questions)
[tex] \frac{ {x }^{12} }{ {x}^{6} } = \\ [/tex]
[tex] {x}^{12 -6 } =[/tex]
[tex] {x}^{6} [/tex]
Thus c is the correct option .
_____________________________________________
[tex] \frac{ - 57 {y}^{2} {z}^{3} }{3 {y}^{5} {z}^{3} } = \\ [/tex]
[tex] \frac{ - 19 \times 3 {y}^{2} {z}^{3} }{ {y}^{3} \times 3 {y}^{2} {z}^{3} } = \\ [/tex]
[tex] \frac{ - 19}{ {y}^{3} } \\ [/tex]
Thus a is the correct option .
