\(\log_{\tfrac 16} 36 \\\\\\=\dfrac{\ln 36}{ \ln \left(\tfrac 16\right)}\\\\\\=\dfrac{ \ln 6^2}{\ln (6^{-1})}\\\\\\=\dfrac{2 \ln 6}{-1 \ln 6}\\\\= - 2\)
Solve for w.
–1.01 = 1.4(w + 2) − 2.41
w=0
Step-by-step explanation:
-1.01=1.4(w+2)-2.41
-1.01=1.4w+2.8-2.41
-1.01=1.4w+0.39
-1.01-0.39=1.4w
+1.4=1.4w
1.4/1.4=w
0=w
So,the answer is w=O
I hope it is very helpful
translate the sum of x and one half of x into a mathematical expression
Answer:
The above statement is written as
\(x + 1 \times \frac{1}{2} of \: x\)
of means multiplication
So the final answer is
\(x + \frac{3}{2} x\)
Hope this helps you.
Which expression is equivalent to 3cos2(StartFraction theta Over 2 EndFraction) minus 3?
Three-halves(cos(ϴ) – 1)
Three-halves(cos(ϴ) – 5)
3(cos(ϴ) + 2)
3(cos(ϴ) + 1)
Answer:
It's a 3/2(cos(O)-1
Step-by-step explanation:
I plugged all the equations in desmos and that was equal to the given equation.
Answer:
A
Step-by-step explanation:
For the same reason as above. Credit to them.
what is the answer to this equation 21 x ___=7
Answer:
the answer is 3
Step-by-step explanation:
21 x 3 =7
hope it helps
Answer:
21/7
Step-by-step explanation:
Move 7 to next side with opposite process it is multiple after move it will be divided so 21x (21/7) it will be 7 although (21/7)equivalent to 1/3
On a coordinate grid, point A is at (−2.0, −3.4) and point B is at (2.0, −3.4). Point B is a reflection of point A across the
–axis. Input either a lowercase x or y.
Answer:
Y axis is correct :))
Step-by-step explanation:
Two parallel lines are cut by a transversal as shown below.
Suppose
Answer:
m < 2 = 36
m < 3 = 148
Step-by-step explanation:
180 - 148 = 32
The measure of <2=32 and <3=148
What is are parallel lines?Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
Given:
m<5 = 148
As, by alternate interior angle
m<5 = m<3
So, m<3 = 148
Also, <2 and <3 forms a linear pair.
So,
m<2 + M<3 = 180
148 + m<2 = 180
m<2 = 32
Hence, the measure of <2 = 32 and <3 = 148.
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What is the factored form of x2 − 4x − 5?
(x + 5)(x − 1)
(x + 5)(x + 1)
(x − 5)(x − 1)
(x − 5)(x + 1)
Answer:
x2 - 4x - 5 factored form is (x - 5)(x + 1)
Answer:
(x − 5)(x + 1)
Step-by-step explanation:
The answer above is correct.
Find the 36th term.
5, 8, 11, 14, 17, ...
36th term = [?
Answer:
110
Step-by-step explanation:
nth term = 3n + 2
3 (36) + 2
108 + 2 = 110
Answer:
The 36th term in the sequence is 104.
Here's how to find it:
- Start with the first number in the sequence: 5.
- Add the common difference, which is 3, to get the second number in the sequence: 8.
- Add the common difference to the second number to get the third number: 11.
- Continue adding the common difference to each subsequent number to find the next term in the sequence.
- The 36th term is three less than 37 times the common difference added to the first term.
- Using that formula, we can calculate the 36th term as: 5 + (36 - 1) * 3 = 5 + 105 = 110.
- Therefore, the 36th term in the sequence is 104.
please help me solve this
The area of triangle EFG is given as follows:
A = 18.63 square units.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:
A = 0.5bh
The base is given by segment EF as follows:
\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)
EF = 5.4.
The midpoint of EF is given as follows:
M(6.5, -8).
The height is given by the segment MG as follows:
\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)
MG = 6.9.
Hence the area is given as follows:
A = 0.5bh
A = 0.5 x 5.4 x 6.9
A = 18.63 square units.
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Select all statements that are true.
Answers:
A, B, D, E
Nearly everything except choice C is true.
====================================================
Explanation:
Choice A is true because sine = opposite/hypotenuse.Choice B is true as well because cosine = adjacent/hypotenuseTangent is opposite/adjacent. The 4/9 should be 9/4. Therefore, choice C is false. If beta was theta, then tan(theta) = 4/9 would be true.Choice D is true because of the pythagorean theorem a^2+b^2 = c^2.Choice E is true because tan = opposite/adjacent, and the 9 and 4 are in the correct order (see choice C).DIRECTIONS: Use this information to answer Parts A and B.
A 2-pound package of hamburger costs $7.00, and you pay $10.50 for a 3-pound package of hamburger.
Question 1
Part A
Complete the table.
Enter the correct answer in the box.
Weight (lb) 2 3 4 5
Cost ($) 7.00 10.50 14.00 17.50
Question 2
Part B
Does it make sense to use a unit rate to describe the relationship? Explain.
Yes; In every column the ratio of cost to weight is equivalent to the unit rate of $3.50 per pound.
Yes; The ratio of cost to weight is not equivalent to the unit rate of $3.50 per pound in every column.
No; In every column the ratio of cost to weight is equivalent to the unit rate of $3.50 per pound.
Yes; The ratio of cost to weight is not equivalent to the unit rate of $3.50 per pound in every column.
whats the answer?
Answer:
Step-by-step explanation:
Yes; In every column the ratio cost to weight is equivalent to the unit rate of $3.50 per pound.
II. Compare. Use >, < or =
6. + 8_____- 9
7. +25_____+26
8.0_____18
9. - 10_____+10
10. -7 ______.18
pls I need it fast
Answer:
6. >
7. <
8. <
9. <
10. <
all the positive integers are valued greater than the negative integers and 0 is not a integer so the positive one will be greater in all the cases
Combine the like terms To write an equivalent expression, and then substitute x=2 in both expressions to prove they are equivalent. 3x-6+4x+7-2x what is the value of each expression? Please help ASAP!!
Answer:
11
Step-by-step explanation:
3x-6+4x+7-2x
3x+4x-2x+7-6
7x-2x+1=5x+1
3x-6+4x+7-2x=5x+1 substitute all X's for two and get 3(2)-6+4(2)+7-2(2)=5(2)+1
6-6+8+7-4=10+1
11=11
\sqrt{(3\sqrt{2} -\sqrt{14} )^{2} }
I am really having trouble with this, any pointers?
Answer:
???
Step-by-step explanation:
im so confused so what are you trying to answer?
Answer:
I don’t know the answer but what you could do to help would be the off little by little and then go to it that way or ask a parent or guardian for help
Step-by-step explanation:
Select the correct answer from each drop-down menu.
A machine cuts a strip of carpet into two pleces. The length of the smaller plece is 5 meters greater than 4 the length of the larger piece. If
the length of the smaller piece is 12 meters, the length of the bigger plece is meters and the total length of the carpet is
meters.
Length of larger piece be x
Smaller piece=4x+5x=12m
\(\\ \sf\longmapsto 4x+5=4(12)+5=60+5=65m\)
Total length=65+12=77m
The length of the bigger piece is 1.75 meters and the total length of the carpet is 13.75 meters.
Given that length of the smaller piece is 12 meters.
The length of the smaller piece is 5 meters greater than 4 times the length of the larger piece.
Let's represent the length of the larger piece as "x."
Length of the smaller piece = 4 times the length of the larger piece + 5
12 = 4x + 5
Subtracting 5 from both sides:
12 - 5 = 4x
7 = 4x
Dividing both sides by 4:
7/4 = x
1.75 = x
So, the length of the bigger piece is 1.75 meters.
To calculate the total length of the carpet, we add the length of the smaller piece and the length of the bigger piece:
Total length of the carpet = Length of the smaller piece + Length of the bigger piece
Total length of the carpet = 12 + 1.75
Total length of the carpet is approximately 13.75 meters.
Therefore, the length of the bigger piece is 1.75 meters and the total length of the carpet is 13.75 meters.
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i need help with 7th grade math please 30 points need help ASAP in fraction and simplest form.
Answer:
The scale of the drawing to become the statue is 7, and likewise for the statue to become the drawing it is 1/7.
Drawing * Scale = Statue
Take the first dimension:
9 * scale = 63
63/9 = scale
scale = 7
Answer:
7
Step-by-step explanation:
The scale factor is the ratio between the actual size and the model size.
Here, they are termed as "statue" and "drawing" respectively.
Finding scale factor :
Actual size / Model size63/9 7A school has a toy drive for a holiday in which students bring in toys to be donated to charity. the number of toys donated by juniors and seniors are summarized in the histograms
The standard deviation of the number of toys donated by juniors is greater than that of seniors.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.
\(\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}\)
For the seniors, the mean is given as,
Mean = (5 x 2 + 35 x 2 + .... + 15 x 2) / 10
Mean = 26
Then the standard deviation is given as,
σ = √[(26 - 5)² + (26 - 5)² + (26 - 15)²] / 10
σ = 14.28
For the juniors, the mean is given as,
Mean = (40 x 2 + 25 x 2 + ....... + 40 x 2) / 10
Mean = 26
Then the standard deviation is given as,
σ = √[(26 - 40)² + (26 - 25)² + (26 - 40)²] / 10
σ = 13.19
The standard deviation of the number of toys donated by juniors is greater than that of seniors.
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The complete question is given below.
Find the total value of an investment of $12,700 at 8.8% for 1 year to the nearest dollar.
Answer:
$13,817.60
Step-by-step explanation:
Interest earned = $12,700 × \(\frac{8.8}{100}\) × 1
= $1,117.60
Total earned = $1,117.60 + $12,700
= $13,817.60
The nth term of 50, 80, 110 is...
Answer:
\(a_n=50+(n-1)30\)
Step-by-step explanation:
Given series is,
50,80,110....
First term, a = 50
Common difference, d = 80-50 = 30
We need to find the nth term of the given sequence.
The nth term of an AP is given by :
\(a_n=a+(n-1)d\)
Put a = 50 and d = 30 in the above formula
\(a_n=50+(n-1)30\)
Hence, the nth term of the sequence is \(a_n=50+(n-1)30\).
Are glazed tile on a floor at a constant rate he covers 150 square foot floor in 3 hours how many square feet does he cover in 4 hours
Simplify: (5u^2 -u + 7)+( -4u^2 + 2u+6)
Simplifying,
\(\begin{gathered} (5u^2-u+7)+(-4u^2+2u+6) \\ \rightarrow5u^2-u+7-4u^2+2u+6 \\ \rightarrow5u^2-4u^2-u+2u+7+6 \\ \rightarrow u^2+u+13 \end{gathered}\)James gathered 12kg of nuts more than Henry gathered. What
ht of nuts did Henry gather if James gathered three times as many
Henry?
Answer:
6 kg
Step-by-step explanation:
J = mass of nuts gathered by James
H = mass of nuts gathered by Harry
J = 12 + H
J = 3H
3H = 12 + H
3H - H = 12 + H - H
2H = 12
H = 6 kg
J = 18 kg
There are five main roads between the cities A and B and 4 between B and C. In how many ways can a person drive from A to C and return without driving on the same road twice?
There are 20 possible routes that a man could take to go between cities and then take a different route back.
What is meant by permutation?In mathematics, a permutation of a set is, broadly speaking, the rearranging of its elements if the set is already sorted, or the arrangement of its members into a sequence or linear order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context.
Let the number of roads between the cities A and B = 5.
The rules of permutation must be used in this situation.
A permutation is an arrangement of all or a portion of a collection of items that takes into account the arrangement's order.
The man uses five different routes to get from A to B because there are five different routes accessible.
He can get back by 4 (5 1) methods because he needs to take a different route.
Therefore, there are 20 possible routes that a man could take to go between cities and then take a different route back.
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An English teacher needs to pick 10 books to put on her reading list for the next school year, and she needs to plan the order in which they should be read. She has narrowed down her choices to 4 novels, 6 plays, 8 poetry books, and 4 nonfiction books. Step 1 of 2 : If she wants to include no more than 3 poetry books, how many different reading schedules are possible? Express your answer in scientific notation rounding to the hundredths place.
Answer:
the number of possible reading schedules is 1.064301638 × 10¹²
Step-by-step explanation:
Given that :
The English teacher needs to pick 10 books to put on her reading list for the next school year.
If the English teacher picks at most 3 poetry books i.e no more than 3 poetry books from 8 books. and other books are picked from (6+4+4 ) = 14 books
Thus; the number of ways to pick the books are :
\(\left[\begin{array}{c}8\\0\\ \end{array}\right] \ \left[\begin{array}{c}14\\10\\ \end{array}\right]+ \left[\begin{array}{c}8\\1\\ \end{array}\right] \left[\begin{array}{c}14\\9\\ \end{array}\right] + \left[\begin{array}{c}8\\2\\ \end{array}\right] \left[\begin{array}{c}14\\8\\ \end{array}\right] + \left[\begin{array}{c}8\\3\\ \end{array}\right] \left[\begin{array}{c}14\\7 \\ \end{array}\right]\)
\(= [ \dfrac{8!}{0!(8-0)!}* \dfrac{14!}{10!(14-10!)} ] + [ \dfrac{8!}{1!(8-1)!}* \dfrac{14!}{9!(14-9)!}]+ [ \dfrac{8!}{2!(8-2)!}* \dfrac{14!}{8!(14-8)!}] + [ \dfrac{8!}{3!(8-3)!}* \dfrac{14!}{7!(14-7)!}]\)
\(= [ 1*1001]+[8*2002]+[28*3003]+[56*3432]\)
\(\mathbf{= 293293}\)
However, to determine how many reading schedules that are possible we use the relation:
Number of ways to pick a book × \(^{10}P_{10}\)
\(= 293293* \dfrac{10!}{(10-10)!}\)
= 293293 × 10!
= 1.064301638 × 10¹²
Thus , the number of possible reading schedules is 1.064301638 × 10¹²
Gavin bought a $2 Gift card from Walmart, But spends the rest on a can of beans, but then deposits $9.50 afterwards before leaving walmart, What is the solution of the answer?
Answer:
The answer is $11.5, I'll explain why!
Step-by-step explanation:
So Let Y represent $2, and Let X represent $9.50, So the equation asks
Y=2x-2 and X=9.50+0
SO first subtract 2x-2 but it’s 0
Then add 9.50 to 0,
Last thing you want to do is add 9.50 to 2 and you’ll get 11.5, so the total revenue of Gavins cost is $11.50 depending on the deposit!
I hope this helped!
Eddie and Fran are scuba diving. Eddie is 35 meters
below the surface of the water, and Fran is 8 meters
directly above him.
a water snake in a well is 30 M below the ground level its lights 20 m upward and then slips down 10 M how far it is from the ground level
\( - 30 - + 20 - - 10\)
If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.
Convert .805 liters to millimeter s
You have budgeted 2/5 of your monthly income for rent and utilities. Your monthly income is $2100.
a) What amount have you budgeted for rent and utilities?
b) What amount is left over for expenditures during the month?
Answer:
a. $840
b. $1,260
Step-by-step explanation:
a. 2/5 x 2100 = 840
b. 2100 - 840 = 1,260
Solve for x.
x = [?]
5x - 7/. 3x + 27
Step-by-step explanation:
5x-7+3x+27=180
8x+20=180
8x=160
x=20°.
hope this helps you.
Answer:
\(5x - 7 + 3x + 27 = 180 \\ 5x + 3x + 27 - 7 = 180 \\ 8x + 20 = 180 \\ 8x = 180 - 20 \\ 8x = 160 \\ d \: b \: s \: by \: 8 \\ 8x \div 8 = 160 \div 8 \\ x = 20\)