a= -3
b= 1
k = 2
h= 0
refer to the attachment
The logarithmic equation f(x) = log(100) in the form g(x) = k + a log b(r – h) is f(x) = 0 + 2log(10 - 0)
What is logarithmic equation?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x. For example, since 1000 = 10³, the logarithm base 10 of 1000 is 3, or log₁₀ = 3.
Here, we have,
to rewrite the logarithmic equation:
The equation is given as:
f(x) = log(100)
Express 100 as 10^2
f(x) = log(10^2)
Apply the law of logarithm
f(x) = 2log(10)
Subtract 0 from 10
f(x) = 2log(10 - 0)
Add 0 to the equation
f(x) = 0 + 2log(10 - 0)
Hence, the logarithmic equation f(x) = log(100) in the form g(x) = k + a log b(r – h) is f(x) = 0 + 2log(10 - 0)
Read more about logarithmic equation at:
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complete question:
Express f(x) = log(100) in the general form of a logarithmic function, g(x) = k + a log b(r – h).
Find the radius of the sphere with the given volume. Show all work
Answer:
r = 15
Step-by-step explanation:
Volume of a sphere is given by
V = 4/3 pi r^3
4500 pi = 4/3 pi r^3
Divide each side by pi
4500 = 4/3 r^3
Multiply each side by 3/4
3/4 *4500 = 3/4 *4/3 r^3
3375 = r^3
Take the cube root of each side
(3375)^(1/3) = (r^3)^(1/3)
15 = r
helppp me, it’s my retake
Help Please Pythagorean Theorem
Answer:
1. x = 15
2. x = 26
3. x = 7.6157731059 (you can round this answer to 8 or 7.6)
4. x = 11.7
5. x = 25
6. x = 1.4
7. x = 22.5
8. x = 38.4
9. x = 10.3 v = 5.8
For some of them, I had to use estimation.
I used this formula : a^2 + b^2 = c^2
50 point HELP ASAP Question: A rectangle has sides measuring (3x + 8) units and (6x + 5) units.
Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit.
Part B: What are the degree and classification of the expression obtained in Part A?
Part C: How does Part A demonstrate the closure property for polynomials?
Answer:
see below
Step-by-step explanation:
(3x + 8) units by (6x + 5) units.
A = l*w
= (3x+8)(6x+5)
Distribute
3x*(6x+5) + 8(6x+5)
18x^2 +15x + 48x +40
Combine terms
18x^2+63x+40 units^2
The degree is 2 ( the highest power of x)
This is a trinomial ( it has 3 terms)
Multiplication is closed for polynomial multiplication
We started with polynomials and we ended up with a polynomial.
Factor completely. x2−6x+8 Enter your answer in the boxes. x2−6x+8= ( )( )
plzzzzzzzzzzzzzz helpppppppppppppppppppppppp
Answer:
(x - 4)(x - 2)
Step-by-step explanation:
x² - 6x + 8
x² - 2x - 4x + 8
x(x - 2) - 4(x - 2)
(x - 4)(x - 2)
Step-by-step explanation:
(x-4)(x-2)=0
x2-2x-4x+8=0
x2-6x+8=0
A
8
B
7
D
С
CD = [?]
Enter the number that belongs in
the green box
Enter
Answer:
the number that belongs in the green box is 8
if z is directly proportional to x and z=12 when x=3,Find the value of x when z=18 *
Answer:
x = 4.5
Step-by-step explanation
When z is 6 that means x is 1.5 which means that when z is 18 then x is 4.5 because we add 3+1.5 which is 4.5
find the cost of tiling a rectangular floor 10m by 14m if square tiles with side 1m are used. The price of a tile is $5.20
Answer:
$728.00
Step-by-step explanation:
10m*14m=140m
140*$5.20=$728.00
Find the volume of the triangular prism.
_____ cubic centimeters
Explanation:
The hint pretty much gives away the entire answer. You just need to compute [tex]\frac{4 \times 6}{2} \times 8[/tex] and you should get 96 cm^3
The portion [tex]\frac{4 \times 6}{2}[/tex] represents the area of the triangular face (it has base = 6 and height = 4). Recall that base*height/2 is the area of any triangle. The area of the triangle is (4*6)/2 = 24/2 = 12 cm^2.
Once you know the base face area, you multiply that by the depth of the prism which is 8 cm. So we get 12*8 = 96 cm^3
I DONT UNDERSTAND MATH
Answer:
P = A - 0.2P
Step-by-step explanation:
A = P + Prt
Where,
A = Total amount in an account earning simple interest
P = principal
r = rate
t = time
A = P + Prt
In terms of Payment
P = A - Prt
Holly:
r = 4% = 0.04
t = 5 years
P = A - Prt
= A - (P * 0.04 * 5)
= A - 0.2P
P = A - 0.2P
4
Which represents the value of Point D on the number line?
д
B
с
D
-2.
0
2
-4
-(-3)
оооо
-3
-(4)
Answer:
-3 maybe, sorry if wrong im doing a pretest on this on edge
Step-by-step explanation:
Please help with this question:
Which number represents the probability of an event that is likely to occur?
A. 0.16
B. 0.03
C. 1.5
D. 0.79
Answer:
D. 0.79
Step-by-step explanation:
The probability of an event is a number between 0 and 1, where, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur.
so, the answer is D. 0.79
Answer:
As for the others, probability 0 means that the even't cannot happen, whereas probability 1 means that event is certain. So, the bigger the number, the greater the probability. the greatest number represents the event that is more likely to occur between0 ≤ P(E) ≤ 1.
Given
1.5>0.79>0.16>0.03
So
0.79 is a required answer.
A reindeer runs 2014 miles in 3 hours. At that rate, how many miles does it run in 1 hour?
Answer:
about 671 miles
Step-by-step explanation:
2014m=3h
2014/3= about 671 miles an hour
Answer:
671.33 repeating
Step-by-step explanation:
2014/3=671.33
Find the sum of the first 36 terms of the following series, to the nearest integer. 13, 19,25,...
Answer:
223?
Step-by-step explanation:
6n +7 (nth term)
(6*36)+7 = 223
helppppp please ? lol i’m trying to pass summer school
Answer:
B
Step-by-step explanation:
To find the inverse of a function just replace the x and y value
so for f(x) instead of y=√(x-2) it x=√(y-2) --- take this and now solve for y
x=√(y-2)
x²=y-2
x²+2=y
This matches h(x)
Answer: It really is B but I’m confused on your new question I’ll try :(
Step-by-step explanation:
PLEASE HELP ASAP!! THANK YOU
EXPLANATION = BRAINLIEST & 5 STARS
From the library, one car heads north, and another heads east. Some time later, the northbound car has traveled 17 miles, and the eastbound train has traveled 144 miles. The two cars, measured in a straight line, are ___ miles apart.
pls help me ASAP CUS WHY NOT?
Answer:
Complementary angles
Step-by-step explanation:
When the sum of two angles which adds up to 90° it's called a complementary angle.
You can tell this because <a and <b both form an right angle
The exchange rate between Japanese yen (¥) and Australian dollars (A$) is ¥100 = A$1.21. Convert ¥4630 into Australian dollars, correct to the nearest cent.
Amount = A$______
Answer:
$46.3 AUD (?)
Step-by-step explanation:
From the information provided, the exchange rate is 0.01 (when rounded to the cent), so we just multiply 4630 by 0.01. This gives us $46.3 AUD. I'm not too sure about my maths, but that's how you would do it. Hope this helps some :)
A box containing 11 2/5 lbs of goldfish crackers was delivered to the kindhearted classes to be split evenly among 3 teachers. Mrs.Z received another carton with 1.2 lbs crackers from a parent. How many pounds of goldfish crackers does Mrs.Z have?
Answer: 5
Step-by-step explanation:
11 2/5 Divided by 3 is 19/5 (as a fraction) or 3.8
add 3.8 to 1.2.
Hope I could help.
Section 1 - Question 1
Stanley attempted to simplify the expression below.
4. (2.5x - 1.25) – 3x
His work, step by step, Is shown below.
Step 1: -4. {(2.5x + (-1.25)} – 32
Step 2: - 10x + (-5) - 3:0
Step 3:- 10.2 - 3x + (-5)
Step 4: - 13x - 5
In which step did he make his first error simplifying the expression?
A
Step 1
B
Step 2
Answer:
a and bwhich step did he make his first error simplifying the expression?
A
Step
What is x - 1 = -1? Please help
Answer:
x = 0
Step-by-step explanation:
x - 1 = -1
Add 1 to each side
x-1+1 = -1+1
x = 0
Answer:
x = 0
Step-by-step explanation:
x - 1 = - 1
x - 1 + 1 = - 1 + 1
x = 0
(—225) = [(—40) - (—8)]
Answer:
okay I don't have to work at rito pag nasagutan the gathered from the story is about
What is the value of y in the solution to the system of equations?
1/3X + 1/4Y = 1
2X - 3Y = -30
A. -8
B. -3
C. 3
D. 8
Answer: y = 8
Step-by-step explanation:
I need help with number 1
Answer:
Likely is the answer.
:))))
(50 points) Which graph is defined by the function given below?
y = (x - 3)(x - 3)
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
Graph B
Step-by-step explanation:
y = (x - 3)(x - 3)
The x intercepts are at 3
Since both intercepts are at 3, the vertex is at 3
We know it is an upwards facing parabola since it is quadratic and the constant out front is positive
52.38
B
Which trigonometric ratios are correct for triangle
ABC? Select three options.
30
sin(C) =
3
✓
18
60
cos(B) = ?
С
tan(C) = V3
sin(B) = ?
D tan(B) = 2/3
Next
Subm
Mark this and retum
Answer:
[tex] \sin(c) \: = \frac{ \sqrt{3} }{2} [/tex]
[tex] \tan(c) = \sqrt{3} [/tex]
[tex] \sin(b) = \frac{1}{2} [/tex]
The ratios that are correct for the triangle are as follows:
sin B = 1 / 2sin C = √3 / 2tan C = √3Trigonometric ratios
The simplest trigonometric ratios are as follows:
sin ∅ = opposite / hypotenusecos ∅ = adjacent / hypotenusetan ∅ = opposite / adjacentAB = √18² - 9²
AB = √324 - 81
AB= √243
AB = 9√3
Therefore, the trigonometric ratio that are correct for the triangle are as follows;
sin B = 9 / 18 = 1 / 2sin C = 9√3 / 18 = √3 / 2 tan C = 9√3 / 9 = √3learn more on trigonometric ratios here: https://brainly.com/question/6459892?referrer=searchResults
write 6x-2y=-12 in slope intercept form
Answer:
y = 3x +6
Step-by-step explanation:
6x-2y=-12
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
Subtract 6x from each side
6x-6x-2y=-6x-12
-2y = -6x-12
Divide each side by -2
-2y/-2 = -6x/-2 -12/-2
y = 3x +6
The figure below is a square pyramid.
What is the surface area of the figure?
Answer:
120
Step-by-step explanation:
Answer:
surface area of the square pyramid
(6×6)+(2×6×5)
36+60
96 square meters
answer is option 4
Math help please show work
Answer:
You can measure the area of the yard but measuring the length and width and then multiplying. Then you can divide by the amount of sod that is used to cover to see how many bags that need to be bought.
Step-by-step explanation:
This should be good :)
pls mark brainliest:)
What is the domain of this function?
5
7
4
11
O A. (-3, 0, 3, 4, 5, 6, 7, 11}
B. {-3, 4, 5, 7)
C. {3, 5, 7, 11)
O D. {-3, 0, 4, 6)
Answer:
The domain is { 3,5,7,11}
Step-by-step explanation:
The domain is the input values
The domain is { 3,5,7,11}