The angle 11π/12 radian after converting it to degree it become 165 degree.
What is an angle?The measurement between the two lines is called an "Angle" when the two lines or rays converge at a common location.
We have given:
An angle 11π/12
Let's denote it with β
[tex]\rm \beta = \dfrac{11\pi}{12}[/tex]
To convert it to degree, replace π with 180°, we get:
[tex]\rm \beta = \dfrac{11\times180}{12}[/tex]
β = 165°
Thus, the angle 11π/12 radian after converting it to degree it become 165 degree.
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50 points!!!!! what is the simplified form of 6 log3x - 7 log3y + 4 log3z? log base 3 of the quantity negative xz end quantity divided by 4y end log log base 3 of 3xz divided by y end log log base 3 of the quantity x to the sixth z to the fourth end quantity divided by y to the seventh end log log base 3 of the quantity xy all raised to the twelfth end quantity divided by z to the 4th end log
log base 3 of the quantity x to the seventh z to the fourth end quantity divided by y to the sixth end log
Sure hope this helps you :D
The simplified form of the logarithmic expression, 6 log₃x - 7 log₃y + 4 log₃z, is log₃{(x⁶z⁴)/y⁷}. Hence, the third option is the right choice.
What are the laws involved in the simplification of logarithmic expressions?The laws involved in the simplification of logarithmic expressions are:
Power law: [tex]a log_x b= log _xb^a[/tex]Product law: [tex]log_xa + log_xb = log_xab[/tex]Quotient law: [tex]log_xa - log_xb = log_x\frac{a}{b}[/tex]Base changing law: [tex]log_ab = \frac{log_xb}{log_xa}[/tex]How to solve the question?In the question, we are asked to simplify the logarithmic expression,
6 log₃x - 7 log₃y + 4 log₃z.
The simplification of the provided logarithmic expression can be done as follows:-
6 log₃x - 7 log₃y + 4 log₃z,
= log₃x⁶ - log₃y⁷ + log₃z⁴ {Using the Power law: [tex]a log_x b= log _xb^a[/tex]}
= log₃x⁶ + log₃z⁴ - log₃y⁷
= log₃x⁶z⁴ - log₃y⁷ {Using the Product law: [tex]log_xa + log_xb = log_xab[/tex]}
= log₃{(x⁶z⁴)/y⁷} {Using the Quotient law: [tex]log_xa - log_xb = log_x\frac{a}{b}[/tex]}.
Thus, the simplified form of the logarithmic expression, 6 log₃x - 7 log₃y + 4 log₃z, is log₃{(x⁶z⁴)/y⁷}. Hence, the third option is the right choice.
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In the triangle below, x=[?] Cm. Round to the nearest tenth.
Answer:
the answere is 2 tenths because anything higher then 5 is round up by 1 and anything lower than 5 stays the same.
Step-by-step explanation:
Find the distance between the points. Round to two decimal places if necessary.
Answer:
The distance is 17.20
Step-by-step explanation:
The solution is in the image
Arrange the steps in the correct order to solve the equation. Take the log of each side: . Use the Exponential Property and write in decimal form: . Divide each side by log 2: . Find the value of and substitute: . Divide both sides of the equation by 3: . Add 5 to each side of the equation: . Add 4 to each side of the equation: . Simplify: .
The steps arranged in the correct order is Add 4 to both sides, Divide both sides of the equation by 3, Take the log of each side, Divide each side by log 2, Add 5 to each side of the equation and Use the Exponential Property and write in decimal form.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation 3(2 ^ (2t - 5)) - 4 = 10
Add 4 to both sides:
3(2 ^ (2t - 5)) - 4 + 4 = 10 + 4
3(2 ^ (2t - 5)) = 14
Divide both sides of the equation by 3:
[3(2 ^ (2t - 5))] / 3 = 14/3
2 ^ (2t - 5) = 14/3
Take the log of each side:
(2t - 5)log(2) = log(14/3)
Divide each side by log 2:
2t - 5 = log(14/3) / log(2)
Add 5 to each side of the equation:
2t = log(14/3) / log(2)
Use the Exponential Property and write in decimal form:
t = 1.11
The steps arranged in the correct order is Add 4 to both sides, Divide both sides of the equation by 3, Take the log of each side, Divide each side by log 2, Add 5 to each side of the equation and Use the Exponential Property and write in decimal form.
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1.2 Fill in and complete pattern in the table below! Number of tables 4 5 6 7 Number of guests . Look at the pattern in 1.2 and describe how the number of guests who can be seated changes for each table added. Complete this sentence: To find the number of guests for each arrangement, you would 8 (2) S
The equation for the number of arrangement from the number of guest is y = 12x + 2
How to determine the equation?The pattern is given as:
x y
0 2
1 14
2 26
3 38
The above table represents a linear function;
Start by calculating the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{14 - 2}{1 - 0}[/tex]
Evaluate
m = 12
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
y = 12(x - 0) + 2
Evaluate
y = 12x + 2
Hence, the equation for the number of arrangement from the number of guest is y = 12x + 2
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What is the value of "c" in the following quadratic? (Make sure the equation is in
standard form: ax2 + bx+c=0)
4x² + 10X - 24 = 0
c=-24
Step-by-step explanation:
a=4, b=10 and c=-24
Find the volume of each figure
Answer:
144km^3
Step-by-step explanation:
[tex]V = (6)(6)(4)\\= 144 km^3[/tex]
Look at the two-way frequency table below.
Favorite Dog Breeds
Lab Terrier Poodle Other Total
Male 18 22 6 28 74
Female 14 26 8 12 60
Total 32 48 14 40 134
Which statement is true?
A
The number of males who chose a breed labeled as Other is more than two times that of females who chose Other.
B
More people chose Labs than any other breed.
C
The breed of Labs has the least difference between male and female selections.
D
Over half of the respondents preferred Terriers.
d
Step-by-step explanation:
total of terriers is 48 with is more than 3 but is lower than 134
HELPLLLLLLL NEED THIS FOR A TEST ASAP
Which expression is a polynomial?
O gx7y³z
0 4x3 -2x2+5x
O-13
O 13x2
Answer: second answer is a polynomial
Step-by-step explanation:
Find area and perimeter!!!!!WILL GET BRAINLIEST !!!!!
Consider the derivation of sin(2x). A 2-column table with 3 rows. Column 1 has entries 1, 2, 3. Column 2 is labeled Step with entries sine (2 x) = sine (x + x), = sine (x) cosine (x) + cosine (x) sine (x), = (sine (x) cosine (x) ) squared. Where is the error?
Answer:
D, Step 3
Step-by-step explanation:
I just did it on edge
Answer:
The answer is D Step 3 should read = 2sin(x)cos(x).
Step-by-step explanation:
Combine the like terms to create an equivalent expression:
8t +1 + (-4t) + (-6)
Answer:4t-5
Step-by-step explanation:
8t + 1 + (-4t) + (-6)
8t+1-4t-6
8t-4t+1-6
4t-5
- - - - -- - - - - - - - - -- - - - - - - - - - - - - - -- - - - - - - - - -- - - - -
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Combine like terms to create an equivalent expression:-
8t+1+(-4t)+(-6)
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
First, +(-4t) is the same as -4t:-
8t+1-4t+(-6)
Same with +(-6):-
8t+1-4t-6
Subtract the t's:-
4t+1-6
And finally,
4t-5
Good luck.
- - - - - - - - - - - - - -- - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - -
Help?
A person can read 24 pages of a book in 3 of an hour. What is this person's reading rate in pages per hour?
72
12
8
48
1. Simplify: 8x5 + 9x+ + 4x5 + 5 + 7x4
Step-by-step explanation:
8*5 + 9x + 4*5 +5 + 7*4
40 + 9x + 20 + 5 + 28
9x + 93
the simplified answer is 9x + 93
Chris bought 37 pounds of peanuts that cost $0.93 per pound. How much did he pay for peanuts?
Answer:
$34.41
Step-by-step explanation:
rate = 0.93$/lb
amount = 37 lb
total = amount x rate
= 37 lb x 0.93$/lb
=34.41$
(COSA-SINA)²=
1-2sinA. COSA
Answer:
see explanation
Step-by-step explanation:
using the identity
sin²x + cos²x = 1
consider left side
(cosA - sinA)²
= (cosA - sinA)(cosA - sinA) ← expand using FOIL
= cos²A - sinAcosA - sinAcosA + sin²A
= cos²A + sin²A - 2sinAcosA
= 1 - 2sinAcosA
= right side
Please help!!!!!!
What is the geometric possibility of being in the square and not in the circle? The radius of the circle is five inches. Express percent’s to the nearest tenth.
A. 21.5%
B. 23.0%
C. 20.0%
Answer: A
Step-by-step explanation:
The area of the square is 10^2 = 100.
The area of the circle is (pi)(5^2) = 25pi.
So, the area of the region in the square but not in the circle is 100 - 25pi.
Thus, the desired probability is (100-25pi)/100, which is about 21.5%
Identify the inverse of f(x)=x^2-9
If the points are connected, what polygon is formed?
O heptagon
O octagon
O quadrilateral
O triangle
Answer:
=> Quadrilateral
Step-by-step explanation:
If the points are connected, then quadrilateral is formed.
A baby giraffe was born at a wildlife preserve. The giraffe was 6 feet tall when it was born, and it grew 1.75 feet over the next 7 months.
If the giraffe continues to grow at the same rate, at what age will it reach a height of 15 feet?
The age of the giraffe when he is 15 feet tall be 1 year 1 month and 16 days.
What is fraction?
A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Giraffe height = 6 feet
Height grew in 7 months= 1.75 feet
Giraffe's height in 7 month = 7.75 feet
Giraffe's height, 1 feet= [tex]\frac{7}{7.75}[/tex] month
= 0.9032 months
Giraffe's height, 15 feet= 0.9032 x 15 month
= 13.548 month
= 13 months 16 days approx.
= 1 year 1 month 16 days
Hence, the age of giraffe will be 1 year, 1 month and 16 days
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Which number is equivalent to 66+66+26+16
6
6
+
6
6
+
2
6
+
1
6
?
The corect answer is [tex]2\frac{3}{6}[/tex] [tex]or[/tex] [tex]2 \frac{1}{2}[/tex]
a 250g bag of maize flour, contains 195 g of carbohydrate, use percentages to work out the amount of carbohydrate
Answer:
78%
Step-by-step explanation:
195/ 250 = 0.78 then we multiply .78 by 100 to get the percentage
(.78)(100) = 78%
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \pink \star\underline{\underline{\boxed{ \sf{ \frac{value}{T. value} * 100 \%}}}}[/tex]
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\sf{ \frac{value}{T. value} * 100 \%}[/tex]
[tex]\sf{\frac{195}{250}*100\%}[/tex]
[tex]\sf{0.78 * 100 \%}[/tex]
[tex]\sf{78 \%}[/tex]
The amount of carbohydrate is 78 %
HELP PLEASE ASAP DUE AT 11:49
HELLLLPPP!!A company produces standard size American flags with a measurement of 3’ x 5’. Another company produces mega American flags that are similar to this size. If the shorter side of the mega flag is 48',. What is the length of the longer side?
Answer: 80
Step-by-step explanation:
3 over 5 times 48 is 240 over 3, simplified is 80
What is the mode of the data:
Answer:
3
Step-by-step explanation:
Mode is what number occurs the most in data or in this question which number contains the most X's
Answer:
3 is the mode of the data set shown
Step-by-step explanation:
What is shown in the picture is called a data set. What we need to find is the mode. The mode, is the number shown in the data the most. Each x shown represents how many times the number below it shows in the data set. So, all we need to do is find the column with the most x's.
Through doing this, we can see that the column of 3, has the most x's (4 x's). Meaning that 3 is the mode of the data.
3.
Work out the following. Simplify your answer where possible.
a) 23+ 14
…………………………
b) 13- 19
…………………………
c) 7 x 46
…………………………
d) 42 divided by 23
…………………………
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\#1. \\\ 23+ 14}\\\text{START at 23 and go UP 14 spaces to the RIGHT \& you will meet your result.}\\\mathsf{= 37}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{37}}}\huge\checkmark[/tex]
[tex]\mathsf{\#2. \\\ 13 - 19}\\\text{START at 13 and go BACK -19 spaces to your left \& you will meet your result.}\\\mathsf{= -6}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{-6}}}\huge\checkmark[/tex]
[tex]\mathsf{\#3. \\\ 7 \times 46}\\\mathsf{= 46\times 7}\\\mathsf{= 46 + 46 + 46 + 46 + 46 + 46 + 46}\\\mathsf{= 92 + 92 + 92 + 46}\\\mathsf{= 184 + 138}\\\mathsf{= 322}\\\\\huge\text{Therefore, the answer be: \boxed{\mathsf{322}}}\huge\checkmark[/tex]
[tex]\mathsf{\#4. \\\ 42\div 23}\\\mathsf{\approx \dfrac{42}{23}}\\\mathsf{\approx 1\dfrac{19}{23}}\\\mathsf{\approx 1.826087}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{1.826087}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
£20 is divided between June, Sushil &
Fiona so that June gets twice as much as
Sushil, and Sushil gets three times as
much as Fiona. How much does June get?
Answer:
Therefore, June gets £6
Step-by-step explanation:
Total amount = £20
Assume:
June's share = a
Sushil's share = b
Fiona's share = c
a = 2b -----------------------(1)
b = 3c -----------------------(2)
c = b ÷ 3 -------------------(3)
a + b + c = £20 --------(4)
Substitute equations (1) and (3) in equation (4)
2b + b + (b ÷ 3) = £20
10b ÷ 3 = £20
b = £20 * 3 ÷ 10 = £6
a = 2 * £6 = £12
c = £6 ÷ 3 = £3
Therefore, June gets £6
please help me fast!!!!
Answer: LADB = 29
Step-by-step explanation:
Diana walks around a circular swimming pool of diameter 14 feet. What is the distance she has walked?
11 ft
22 ft
33 ft
44 ft
The distance she has walked around a swimming pool is 44 ft.
What is circumference?
The circumference of the circle is the length of the curve traced out from the fixed point which is equidistant from the locus of the curve.
Given that:-
Diana walks around a circular swimming pool of diameter 14 ft.What is the distance she has walked?The circumference of the circular swimming pool will be:-
C = 2 π r
C = 2 x π x 7
C = 44 ft
Therefore the distance she has walked around a swimming pool is 44 ft.
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44
Step-by-step explanation:
i got this right on my exam i am in 8th
Find the range values. y= -x + 6 domain (-2,-11)
Answer:
range = {8,17}
Step-by-step explanation:
plug in -2 & -11 where x is
y= -(-2) + 6
y= +2 + 6
y= +8
y= -(-11) + 6
y= +11 + 6
y= +17
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