Answer:
C. log7 36....................................
The given logarithmic expressions together can be written as log₇ 36
What is a logarithmic function ?The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.
Formulae for logarithmic function are,
LogAB = LogA + LogB
Logₐaᵇ = b
Given that,
= log₇(2 x 6) + log₇3
= log₇ 36
We have the result
log A + log B = log AB
Here the question is log₇(2 x 6) + log₇3.
Using the property of logarithm we will get,
= log₇(2 x 6) + log₇3
= log₇(2 x 6 x 3)
= log₇ 36
So, log₇(2 x 6) + log₇3 = log₇ 36
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what is the measurement of angle x
the angle on the right measures 54 degrees and the left measures 38 degrees
Answer:
16
Step-by-step explanation:
180 is a straight line.
x is among that line so you must subtract the angles you know from 180.
180-54-38= 16
What is the answer I have no clue
Find the area of rectangle ABCD
Answers:
A. 20
B. 10 square root 2 + square root of 82
C. 24
D. 12
9514 1404 393
Answer:
D. 12
Step-by-step explanation:
There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using the two upper-left points, we find the length of that side to be ...
d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2
Similarly, the length of the lower-left side is ...
d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2
Then the area of the rectangle is ...
A = LW
A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12
The area of rectangle ABCD is 12.
_____
Other methods include subtracting the area of the corner triangles from the area of the bounding square:
5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12
Can someone help me please
Answer:
height of b = 280
Step-by-step explanation:
candle b has a height of 280 - 5t, when it comes out of the mold then t=0 so the initial height of b is 280
candle b's height drops by 5 every hour (that's what the -5t part means)
candle a started at 216 and dropped to 192 in 3 hours, so it dropped by 24 in 3 hours so it drops 8 each hour
so candle b starts out taller (280 v. 216) and candle b burns slower (a at 8 per hour and b at 5 per hour), so b will never 'catch up' with a... candle a will be burned out while candle b is still burning
Which inequality has a closed circle when it is graphed on a number line?
x greater-than 0.4
x greater-than negative 3
x less-than 4
x greater-than-or-equal-to 3
Answer:
Less than 4 I guess??
This part I have scribbled so I can answer
no x Ehud ihehiexbhhenxkjwbhxnwbxhuebxbuebxh
Answer:
D
Step-by-step explanation:
write a polynomial in standard form that represents the area of the shaded region
Answer:
x^2-3x+36
Step-by-step explanation:
Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10? (4 points) a 2 b 3 c 4 d 5
Answer:
B: 3
Step-by-step explanation:
2x
x=3 3times2= 6
6+4 =10
Hope this helps
Find the elapsed time.
from 2:08 A.M. to 11:03 A.M.
3 h 5 min
8 h 55 min
8 h 45 min
9 h 5 min
Choose all the ways the ratio of five girls to 9 boys can be written. the options are
9:5
9 to 5
5:9
5 to 9
5/9
9/5 i need helppp im so confused.
Answer:
5/9
5 to 9
5:9
hope this helps <3
Answer:
5/9,
5:9,
and 5 to 9
The expression 2x^2+5x-12 is equivalent to which of the following?
a
(2x-3)(x+4)
b
(x+3)(2x-4)
c
(2x-3)(2x+2)
d
(2x+3)(x-4)
Answer:
letter D
Step-by-step explanation:
2
x
2
−
5
x
−
12
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
a
x
2
+
b
x
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
2
⋅
−
12
=
−
24
and,
N
1
+
N
2
=
b
=
−
5
After trying out a few numbers we get:
N
1
=
−
8
and
N
2
=
3
3
⋅
(
−
8
)
=
−
24
, and
3
+
(
−
8
)
=
−
5
2
x
2
−
5
x
−
12
=
2
x
2
−
8
x
+
3
x
−
12
=
2
x
(
x
−
4
)
+
3
(
x
−
4
)
(
x
−
4
)
is a common factor to each of the terms
=
(
2
x
+
3
)
(
x
−
4
)
Answer:
a see below for explanation
Step-by-step explanation:
2x^2 + 8x - 3x - 12
2x^2 +5x - 12
Lucy spent a total of $6.60 on 5 apples and a package of grapes. If the package of grapes cost $2.35, how much did each apple cost? Do not put a $ in your answer.
Each apple costs $
3 plus tax
Step-by-step explanation:
Please help ASAPPPPPO
Answer:
x=all real numbers
y=all real numbers
Step-by-step explanation:
x=-5y-1
-3(-5y-1)-15y=3
15y+3-15y=3
3=3
therefore the answer is all real numbers
The formula V = s3 gives the volume V of a cube with side length s. The volume of a cube that has a side length of 7 inches
The volume of a cube with a side length of 7 inches is 343 cubic inches.
To find the volume of a cube with a side length of 7 inches, we can use the formula [tex]V = s^3[/tex], where V represents the volume and s represents the side length.
Substituting the given side length into the formula, we have:
[tex]V = 7^3[/tex]
To simplify the expression, we raise 7 to the power of 3, which means multiplying 7 by itself three times:
V = 7 * 7 * 7
V = 343 cubic inches
Therefore, the volume of a cube with a side length of 7 inches is 343 cubic inches.
The complete question is
The formula V = s3 gives the volume V of a cube with side length s. The volume of a cube that has a side length of 7 inches is equal to ____.
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Factor out
the GCF
56x^2? + 16x + 64
urgent urgent urgent plz
Find the degree of polynomial 2x⁵-10x⁴-5x²+12x⁸-6
help
Find the surface area of the
triangular prism.
10 ft.
3 ft.
3 ft
Given:
The figure of a triangular prism.
To find:
The surface area of the triangular prism.
Solution:
We know that, a triangular prism contains 2 congruent triangular surface and 3 rectangular surface.
Triangles have base 3 ft and height 2 ft.
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
[tex]A_1=\dfrac{1}{2}\times (3)\times (2)[/tex]
[tex]A_1=3[/tex]
Area of congruent triangles are congruent. So,
[tex]A_1=A_2=3\text{ sq. units}[/tex]
Now the three rectangular surface have dimensions 10 by 3, 10 by 3 and 10 by 3 because the triangles are equilateral and the length of the prism is 10 ft.
Area of a rectangle is
[tex]Area=Length\times width[/tex]
[tex]A_3=10\times 3[/tex]
[tex]A_3=30[/tex]
Dimensions of all three rectangles are same, therefore there areas are equal.
[tex]A_3=A_4=A_5=30[/tex]
Now, the total surface area of the prism is
[tex]A=A_1+A_2+A_3+A_4+A_5[/tex]
[tex]A=3+3+30+30+30[/tex]
[tex]A=96[/tex]
Therefore, the total surface area of the prism is 96 sq. ft.
Scientists have found fewer fossils of plants than of animal bones. Why do you think this is?(You may state your opinion!)
Find the mode for this list of numbers
98 ,52,61,36,6,6,19,24,42,4,5,32,,23,82,34
Answer:
Mode of the given frequency is 6 as it is occurring frequently
How many square feet of outdoor carpet will we need
8 square feet will be needed. 3x2= 6 + 2x1= 2= 8 square feet
The sides of a triangle measure 7, 8, and 16. What type of triangle is it?
Answer:
obtuse triangle
Step-by-step explanation:
Answer:
It is a obtuse scalene triangle.
Step-by-step explanation:
Equilateral: all three sides are equal
Isosceles: two sides are equal
Scalene: no sides are equal to each other
If a squared + b squared = c squared it is a right triangle
If a squared + b squared is less than c squared it is a obtuse triangle.
If a squared + b squared is more than c squared it is a acute triangle.
Michael mowed lawns during the summer to earn extra money. He charged each customer $30 to cut the grass plus $9 for each hour of work. One customer paid Michael $93. How long did it take Michael to mow that customer's lawn?
the cost of contructing a 63mcube wall is rs 84000. find the volume of each brick if the cost of a bric is rs 13
Answer:
0.00975 m^3 each
Step-by-step explanation:
rs 84000 / rs 13 = 6461.539 bricks
63 m^3 / 6461.539 = 0.00975 m^3 each
Kayla earns 5% commission on
all jewelry sales. How much
would she earn if she sold $725
worth of jewelry?
Answer:
725 x0.05=36.25
Step-by-step explanation:
when finding percentage move the decimal over two places, making 5 0.05
Karen is making 14 different kinds of greeting cards. She is making 12 of each kind. How many greeting is she making.
Helpppppppp pls help .
Answer: X= 1 2 3 4 Y= 5 8 11 14
Step-by-step explanation: i tried my best
What is the surface area?
5 mm
4 mm
5 mm
6 mm
7 mm
square millimeters
Answer:
Base of 5mm, Height of 6mm, Width of 7mm214mm^2
Base of 4mm, Height of 4mm, Width of 10mm192mm^2
Base of 5mm, Height of 6mm, Width of 7mm214mm^2
Base of 6mm, Height of 3mm, Width of 2mm72mm^2
7mmLittle over 1/4 Inch0.27559 Inches
The total surface area is 124 square millimeters.
What the surface area of a rotating prism?To find the surface area of any kind of prism we use the general formula. The total surface area of a prism is the sum of lateral surface area and area of two flat bases.
The total surface area of a Prism = (2 × Base Area) + (Base perimeter × Length).
Here, area of base is Area=2(Base×Height)
= 2(6×4)
= 12 square millimeters
Now, Base perimeter × Length= (5+5+6)×7
= 16×7
= 112 square millimeters
Total area = 12+112
= 124 square millimeters
Therefore, the total surface area is 124 square millimeters.
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What is the slope of the line?
$
2
45
6>x
-3
Step-by-step explanation: i am pretty sure it is 1
Chen rode his skateboard 3 1/4 miles in 1/3 of an hour. What was his average speed in miles per hour
Answer:
9.75 mph
Step-by-step explanation:
3 1/4 ÷ 1/3 = 9 3/4
If it's 12am for me and it's 8am for my friend how many hours apart are we? And if it was 10pm for me what time would it be for him??
Answer:
You are 8 hours apart and it would be 6am for them
Step-by-step explanation:
You guys are 8 hours apart because thats the hour difference, so you add 8 to 10pm getting 6am
Answer:
You are 8 hours apart
Step-by-step explanation:
If it was 10pm for you it would be 6 am for him
