Answers
Answer:
[tex]$\boxed{\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})} $[/tex]
Step-by-step explanation:
[tex]\log _2z+2\log _2x+4\log _9y+12\log _9x-2\log _2y[/tex]
We have logarithms in base 2 and 9. Let's rewrite it:
[tex]\log _2z+2\log _2x-2\log _2y+4\log _9y+12\log _9x[/tex]
Remember that:
[tex]\boxed{p\log _bc=\log _b c^p}[/tex]
[tex]\log _2z+\log _2 x^2 -\log _2y^2 +\log _9y^4+\log _9x^{12}[/tex]
Remember the Product Rule:
[tex]\boxed{\log_b(xy)=\log_bx + \log_by}[/tex]
[tex]\log _2(zx^2) -\log _2y^2 +\log _9(y^4 x^{12})[/tex]
Finally, remember the Quotient Rule:
[tex]$\boxed{\log_b\left(\frac{x}{y} \right)=\log_bx - \log_by}$[/tex]
[tex]$\log _2\left(\frac{zx^2}{y^2} \right) +\log _9(y^4 x^{12})$[/tex]
I only know how to get the answer but not explain
Related Questions
Tyler needs to get the windows in his new home cleaned. The cleaning company needs to know the total number of window panes before it can tell him how much the job will cost. There are 12 windows, each with four window panes across and four window panes down. Tyler can find the total number of window panes by multiplying the number of windows by the number of panes in each window. The total number of window panes is an expression with a whole-number exponent. Write an expression with exponents to find the total number of panes in 12 windows.
Answers
Answer:
I believe it's (4^2)*12
Step-by-step explanation:
To find the correct amount of the window panes there are, we have to find how much window pains are in each of the window's. So we have a 4 by 4 so that's 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes
Hope this helps! ∪ω∪
Kim is building a triangular dog pen. She will use an existing 10 m wall as one side. She will then build a fence going out at a 45°
angle on one side of the wall and a 65° angle on the other side. How much chain-link fence is needed to complete the fence?
es )
Answers
Answer:
17.2 ft
Step-by-step explanation:
The angle that the fence makes opposite the wall is ...
180° -45° -65° = 70°
The law of cosines can be used to find the lengths of fence needed.
The fence opposite the 45° angle will have a length of ...
short side = (10 ft)·sin(45°)/sin(70°) = 7.525 . . . feet
The fence opposite the 65° angle will have a length of ...
long side = (10 ft)·sin(65°)/sin(70°) = 9.645 . . . feet
Then the total length of fence required is ...
7.525 ft +9.645 ft = 17.170 ft
About 17.2 feet of chain-link fence is required to complete the enclosure.
_____
We have assumed there is no chain-link fence along the 10 ft wall.
_____
The Law of Sines tells you that for sides a, b, c and opposite angles A, B, C, you have ...
a/sin(A) = b/sin(B) = c/sin(C)
For some given side 'a' and opposite angle A, the other two sides can be found from their opposite angles as ...
b = sin(B)·a/sin(A)
c = sin(C)·a/sin(A)
can somewon help me plz
Answers
Answer:
=1468 in ^3
Step-by-step explanation:
Find the volume of the container as if the corner was still there
V = l*w*h
V = 10 * 10 *15
= 1500
Subtract the missing corner
The volume of the missing piece is
V = l*w*h
= 2*4*4
= 32
V = 1500-32
=1468 in ^3
Answer:
It is 1468 inches cubed.
Step-by-step explanation:
You first want to the volume of the entire shape by multiplying the length, width, and height, which is 10, 10, and 15. They multiply to become 1500 inches cubed. You then want to find the volume of the smaller rectangular shape, so multiply 4, 4, and 2. And that equals 32. So subtract the volume of the big shape that we found, 1500, by the volume of the small one, which is 32. That equals 1468 inches cubed. You want to subtract the volume of the big one by the small one because the volume is just the big shape with a small shape cut out of it. So whenever you get one of these problems, just find the volume of both shapes, the big one and the small one, and subtract the small one from the big one.
The quotient of 32 and 4 divided by the sum of 1 and 3
Answers
Answer:
2
Step-by-step explanation:
32 divided by 4 = 8 (quotient)
1 + 3 = 4 (sum)
8 divided by 4 = 2
Answer:
88
Step-by-step explanation:
What is the shape of the distribution shown below?
Choose 1 answer:
A) The distribution is symmetrical
B) The distribution is not symmetrical
[SCREENSHOT IS INCLUDED]
Answers
Answer:
The answer would be B if its reffering to the photo and A if its reffering to the scale.
Can someone help me with questions 8 and 9 please?
Answers
Step-by-step explanation:
8) earning of 4.5 hours=$54
earning of 1 hour=$54/4.5
earning of 1 hour=$12
9)perimeter=36 feet
length is twice so
length=2x
width=x
perimeter = 2(length+width)
36=2(2x+x)
2x+x=36/2
3x=18
x=6
width=6 feet
length=2(6)
length=12 feet
Area of rectangle= length * width
area=12*6 sq.feet
area= 72 sq.feet
It is 36ft
22 is 40% of what number? A) 44 B) 55 C) 64 D) 88
Answers
Hey there! I'm happy to help!
When working with percents, the word "is" means "equals". We can use this to make an equation. The decimal form of 40% is 0.4. Our number will be represented by the variable n.
22=0.4n
Flip equation around so n is on the left (you don't have to do this, but I like having the variable on the left)
0.4n=22
We divide both sides by 0.4
n=55
Therefore, your answer is B) 55.
Have a wonderful day! :D
Answer:
55 =x
Step-by-step explanation:
Is means equals and of means multiply
22 = 40% * x
Change to decimal form
22 = .40x
Divide each side by .40
22/.40 = .40x/.40
55 =x
-10y^2 - 3y - (5y - 8y^2) combined like terms
Answers
Answer:
-2y(y + 4)
Step-by-step explanation:
-10y^2 - 3y - (5y - 8y^2)
= -10y^2 - 3y - 5y + 8y^2
= -2y^2 - 8y
= -2y(y + 4)
=(-10y^2+8y^2)+(-3y+-5y)
Answer
=-2y^2-8y
Choose the property of real numbers that justifies the equation! Photo of questions are below
Answers
Answer:
Multiplicative Identity Property,Associative Property of Addition,Commutative Property of Multiplication,Zero Property of Multiplication
Step-by-step explanation:
The required properties for the given expression of the real numbers are multiplication property, associative property, commutative property, and property of zero multiplication.
Given that,
A number of expressions for the real number are given we have determined the corresponding properties for the arithmetic operation given.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements.
Here,
1.
n.1 = n
It is a unit multiplication property.
2.
(4 + b) + 7 = 4 + (b + 7)
it is associative property of real numbers.
3.
m.9 = 9.m
it is commutative property.
4.
0.c = 0
It is a property of zero multiplication.
Thus, the required properties for the given expression of the real numbers are multiplication property, associative property, commutative property, and property of zero multiplication.
Learn more about arithmetic here:
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what is the domain of the function shown in the graph below
answer type: interval, all real numbers, all values except one, all values except two
interval:
Answers
interval [3,6]
as you can see only values of x, having a value y in the graph.
-36 4/9 - (-10 2/9)-(18 2/9)
Answers
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Hi my lil bunny!
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[tex]-364/9-(-102/9)-(182/9)[/tex]
[tex]= \frac{148}{3}[/tex] (Decimal: -49.333333)
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If this helped you, could you maybe give brainliest..?
❀*May*❀
SIMPLIFY THIS!!!!!
7(y - 5) + 3y = 10(y +1)
Answers
7(y-5)+3y=10(y+1)
Distribute the 7 to y and -5 and distribute 10 to y and 1
7y-35+3y=10y+10
Combine like terms
10y-35=10y+10
+35 to both sides
10y=10y+45
Subtract 10y from both sides and you’re left with 0=45 which is false- so the answer would be not true or there is no answer. Hope this helps!!!
7(y + -5) + 3y = 10y + 10
Reorder the terms:
7(-5 + y) + 3y = 10y + 10
(-5 * 7 + y * 7) + 3y = 10y + 10
(-35 + 7y) + 3y = 10y + 10
Combine like terms: 7y + 3y = 10y
-35 + 10y = 10y + 10
Reorder the terms:
-35 + 10y = 10 + 10y
Add '-10y' to each side of the equation.
-35 + 10y + -10y = 10 + 10y + -10y
Combine like terms: 10y + -10y = 0
-35 + 0 = 10 + 10y + -10y
-35 = 10 + 10y + -10y
Combine like terms: 10y + -10y = 0
-35 = 10 + 0
-35 = 10
Solving
-35 = 10
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
Please check the image below for more info
Answers
help me plz i need help
Answers
Greg and his family went on a roadtrip.
Their car averaged 60 miles per hour and they
drove for 3.75 hours. How many total miles did
they drive?
Answers
Answer:50
Step-by-step explanation:
they drove 225 miles
Draw a net of the triangular prism and label each face with its surface area. Use the net of the three-dimensional triangular prism to find the surface area of the solid. 13 points
Answers
Answer:
300 yards squared
Step-by-step explanation:
Triangle area = 12 x 5 / 2 = 30
2 Triangles (because there are two of them) = 60
Big rectangle = 8 x 13 = 104
Small Rectangle = 8 x 5 = 40
Medium Rectangle = 96
Add all up = 300
Hope that helped!!! k
Darren fed his dog 3/4 pound of canned food and 1 1/3 pounds of dry food today. How many pounds of food was that in all?
Answers
Answer:
2 1/12 lbs
Step-by-step explanation:
Add the canned and the dry together
3/4 + 1 1/3
Get a common denominator of 12
3/4 *3/3 + 1 1/3 *4/4
9/12 + 1 4/12
1 13/12
1 + 12/12 + 1/12
2 1/12 lbs
Answer:
2 1/12 pounds of food
Step-by-step explanation:
First find the LCM which is 12 and then convert the two fractions into a 12th.
It would be 1 4/12 and 9/12 and then just add.
Can I have Brainliest?
help plz help me .me no good
Answers
Answer:
50,000,000
Step-by-step explanation:
5 * 10 ^7
The 7 in the exponent means move the decimal 7 places to the right
5. We need to add 7 zeros
50000000
50,000,000
PLEASE HELP!! Don't need explanation The Kellen school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student. School Low High Range Mean Median IQR σ High School W 108 180 72 169 150 47.5 29.5 High School X 112 180 68 160 124 49.5 32.4 High School Z 130 180 50 162 151 39.5 27.5 Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.
Answers
Answer:
you are very very correct good job
Step-by-step explanation:
what the hell is the answer
Help me please i don’t know what to
Answers
Answer:
irrational because it's recurring
Answer:
irrational numbers
Step-by-step explanation:
because it's recurring
Step by step on how to do this plz
Answers
Answer:
Rational, irrational, irrational
Step-by-step explanation:
A) sqrt(16)=4 which is rational
B) and C) are both irrational
Answer:
they are all irrational numbers but unfortunately I can't go step by step please excluding the square root of 16
Need help plz, show work too
Answers
Answer:
Hope it helps this is an isosceles triangle
Explanation :
PLEASE HELP ME SOLVE THESE!
-3n-4n-17=25
-15+7.5(2d-1)=7.5
Please show me how as well please :)
Answers
Answer:
-3n-4n = 25 + 17
-7n = 42
n= -6
the main thing for here is to combine the like terms and to solve for n which is done by putting all the numbers with variables on one side and the non variables on the other and divide each side by the number that has the variable. Remember that when you bring numbers on the other side, you change its sign, for example if you have 5 on one side and you bring to the other side of the equal sign it becomes -5.
-15 + 15d -7.5d =7.5
15d - 7.5d = 7.5 + 15
7.5d = 22.5
d = 3
for the part where theres 7.5(2d-1)
you multiply each number inside the bracket by 7.5, its called distributivity of multiplication
hope that answers your question
hope you understand what i wrote lol
good luck:)
Answer:
Question 1
Original Equation:
-3n-4n-17=25
Add 17 to both sides (cancels out the -17)
-3n-4n=42
Combine -3n and -4n.
-7n=42
Divide by -7
n = -6
Question 2
Original Equation:
-15+7.5(2d-1)=7.5
Distribute:
-15+15d-7.5=7.5
Add 7.5 to both sides:
-15+15d=15
Add 15 to both sides:
15d=30
Divide by 15:
d = 2
Let me know if this helps!
complete the table of values for y=-x^2+2x+1
Answers
Answer:
-1=-2
4=-7
Step-by-step explanation:
for x=-1
y=(-1^2)+(2*-1)+1
y=-1-2+1
y=-2
for x=1
y= (-1^2)+(2*1)+1
y= -1+2+1
y=2
for x=4
y=(-4^2)+(2*4)+1
y=-16+8+1
y=-7
help can somewon help me
Answers
Answer:
504 in³
Step-by-step explanation:
The volume of the overall outside dimensions is their product:
Voverall = (12 in)(8 in)(6 in) = 576 in³
The volume of the "slot" is the product of its dimensions:
Vslot = (6 in)(6 in)(2 in) = 72 in³
Then the volume of the figure shown is ...
Vfigure = Voverall -Vslot = 576 in³ -72 in³ = 504 in³
Answer:
504 inches cubed
Step-by-step explanation:
The area missing is 6*6*2=72
The whole area is 576
subtract the two and get 504
since we are talk about volume it is 50 inches cubed
students who prefer rock or classic rock to students who prefer all other types of music
Answers
How is 30% equivalent to 1.3?
Answers
Answer:
30% = 30/100 = 0.3
1.3 would be 130%
I hope this helps you!
30% is equivalent to 0.30 or 3/10, but not 1.3.
There seems to be an error in the statement that 30% is equivalent to 1.3. That is not correct.
To clarify, 30% is equivalent to the decimal value 0.30 or the fraction 3/10.
To convert a percentage to a decimal, we divide the percentage value by 100. In this case, 30 divided by 100 equals 0.30.
If you were looking for a value that represents a 30% increase or an amount including a 30% addition, you would multiply the original value by 1.3, not 30%. For example, if you have a value of $100 and want to increase it by 30%, you would multiply $100 by 1.3, resulting in $130.
So, 30% is equivalent to 0.30 or 3/10, but not 1.3.
Learn more about percentage here
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Find the area of the figure in the image attached. Round to the nearest tenth if necessary.
Answers
Answer:
The area of the figure shown is 37.5cm^2, or 37 1/2cm^2, depending on what it wants from you.
Step-by-step explanation:
Break the shape into a triangle with measurements of 2.5, and 6.
And then the Rectangle with measurements of 6, and 5.
area of a rectangle is w*l so 6*5=30in
Area of a triangle is b*h*1/2 or b*h divided by 2 (either way both are the same, chose what makes you comfortable, I will use the first one.),
2.5*6*1/2
2.5*6=15
15*1/2=7 1/2cm or as a decimal 7.5cm
Now add the two for the full area, 30+7.5=37.5cm
If you have any questions regarding my question tell them to me in the comments and I will come answer them. Have a good day.
Choose the correct description of the graph of the compound inequality 3x + 1 > 10 and 4x less than or equal to 20 (1 point) A number line with an open circle on 3, a closed circle on 5, and shading in between A number line with an open circle on 3, shading to the left, and a closed circle on 5, shading to the right A number line with a closed circle on 3, shading to the left, and an open circle on 5, and shading to the right A number line with a closed circle on 3, an open circle on 5, and shading in between
Answers
Answer:
A number line with an open circle on 3, a closed circle on 5, and shading in between
Step-by-step explanation:
The solution to the first inequality is ...
3x +1 > 10
3x > 9 . . . . . subtract 1
x > 3 . . . . . . divide by 3
__
The solution to the second inequality is ...
4x ≤ 20
x ≤ 5 . . . . . divide by 4
__
The solution set is then ...
3 < x ≤ 5
This is represented by a graph with an open circle at 3, a closed circle at 5, and shading between.
which construction can you use to prove that the Pythagorean theorem based on similarity of triangles
Answers
The construction that you can use to prove the Pythagorean Theorem based on similarity of triangles is 2nd construction. Please see the attached file.
What are similar triangles?Two triangles are similar triangles of their corresponding angles are equal corresponding sides are in equal ratios.
The Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It mentions that the sum of the squares of the other two sides is equal to the square of the hypotenuse (the side opposite the right angle).
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