Answers
=========================================================
Work Shown:
Let x = log(y+2)
The given equation becomes
4x = 3x-log(13)
Solving for x leads to
4x-3x = -log(13)
x = -log(13)
Then substituting gets us
log(y+2) = -log(13)
log(y+2) = log(13^(-1)) .... use the rule that A*log(B) = log(B^A)
log(y+2) = log(1/13)
y+2 = 1/13 ................. used the rule if log(A) = log(B), then A = B
y = (1/13) - 2
y = (1/13) - (26/13)
y = (1-26)/13
y = -25/13 .... answer is choice E
For each step, the logs are the same base. The base doesn't matter. It can be base 10 or base 2 or base e. As long as the base stays consistent is all that matters. Also, the base cannot be 1, 0 or a negative number. The base can be any other real number.
Related Questions
Line a is parallel to line b. If the
measure of Z2 is 78°, what is the
measure of Z5?
78=21
34
6.5
718
Enter
Answers
Answer:
102
Step-by-step explanation:
What is equivalent to 5 to the negative 4 power?
Answers
Answer: 1/625
Step-by-step explanation:
5^-4
1/5^4
1/625
I need help pls on this problem
Answers
76+950= 1026, which is out of her budget.
When does a quadratic equation in the form ax2 + b = c have only one real solution
Answers
when the discriminant is = 0
HELP ME PLZZZZZZZZZZZZZZ
Answers
Given:
The quadratic equation is
[tex]y=3x^2-18x+15[/tex]
To find:
The x-coordinate and y-coordinate of the vertex.
Solution:
If a quadratic function is defined by [tex]f(x)=ax^2+bx+c[/tex], then the vertex is defined as:
[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
If [tex]a<0[/tex], then the function has a maximum at the vertex and ff [tex]a>0[/tex], then the function has a minimum at the vertex.
We have,
[tex]y=3x^2-18x+15[/tex]
Here, [tex]a=3,b=-18,c=15[/tex].
Since [tex]a=3>0[/tex], therefore the function has a minimum at the vertex. So, fill min in first blank.
Now,
[tex]\dfrac{-b}{2a}=\dfrac{-(-18)}{2(3)}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{18}{6}[/tex]
[tex]\dfrac{-b}{2a}=3[/tex]
Putting x=3 in the given function, we get
[tex]y=3(3)^2-18(3)+15[/tex]
[tex]y=27-54+15[/tex]
[tex]y=-12[/tex]
Therefore, the vertex is at point (3,-12).
The diameter of a circle is equivalent to the
radius squared.
True
False
Explain your answer
Answers
Answer:
Step-by-step explanation:
The diameter of a circle is twice the radius, so the statement is false.
d=r(2)
not radius squared.
Please help whatbis the answer
Answers
The beginning balance on the monthly bank statement for Peyton's checking
account was $346.19, and the ending balance was $198.34. What can be said
about Peyton's transactions for the month?
O A. He had $147.85 more in credits than in debits.
O B. He had $544.53 more in credits than in debits.
.
O c. He had $544.53 more in debits than in credits.
O D. He had $147.85 more in debits than in credits.
Answers
Answer:
A: He had $147.85 more in credits than in debits.
Step-by-step explanation:
Hi! My question is..
What is the value of x?
A. 20
B. 40
C. 45
D. 85
Thank you.
Answers
Answer:
B. 40
Step-by-step explanation:
We know that the large angle is 90 degrees as it is a right angle. Thus, [tex]10+2x=90[/tex] (I don't know how to include degree symbols). We solve: [tex]2x=80[/tex], so then [tex]x=40[/tex]. Thus, x is forty degrees and the answer is B.
Answer:
40
Step-by-step explanation:
There is a bisector splitting a 90-degree angle into 2 parts, we are given that one of them is 10. This can only mean the other side is 80 degrees in total.
and 80/2 is 40
There are 1,000 meters in 1 kilometer. How many kilometers are in 3,600 meters?
HELP
Answers
Answer:
A. 3.6 kilometers
Step-by-step explanation:
1000 meters = 1 km
3600 meters = x km
Set as a ratio:
1000 : 1 = 3600 : x
Then divide:
[tex]\frac{3600}{1000} = \frac{x}{1} = x[/tex]
so 3600/1000 = 3.6 = x
3.6 km
2. Which of the following is an equation?
A. y/9 - 3
B. 9 - 2
C. y/9 = 3
D. 7 + y
Answers
What is the area of rectangle with the length of 5/8 in a width of 4/9 foot
Answers
Answer:
he was a member of the first paragraph of the first paragraph of the first paragraph of the first paragraph of the first paragraph of the first paragraph of the first
HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER
Answers
Answer:
x = 55
Step-by-step explanation:
First set the equations to equal eachother since theyre corresponding.
3x - 60 = x + 50
Then just solve for x.
3x - 60 = x + 50
+60 +60
3x = x + 110
-x -x
2x = 110
/2 /2
x = 55
2x=110
x=55
The answer is x=55
Identify if it's an independent or dependent event and write the probability as a fraction * What is the probability that from a normal 52 card deck, you randomly draw a 3, and then without replacing the 3, you draw the Queen of Hearts?
Answers
Answer: 0.151 percent
Step-by-step explanation:
The probability of any particular outcome is
(number of possible successful outcomes) / (number of total possibilities)
-- On the first draw, there are 52 possible total outcomes, and
only 4 that are successful ... drawing a 3 .
The probability of drawing a 3 from a full deck is ( 4 / 52 ).
-- On the second draw, there are 51 possible total outcomes (the first
card you drew stayed out), and only one is successful ... drawing the
queen of hearts.
The probability of this particular outcome is ( 1 / 51 ).
-- The probability of both of them is
( 4 / 52 ) x ( 1 / 51 ) =
( 4 / 2,652 ) = about 0.151 percent.
find the surface of the rectangular prism
Answers
Answer:
The surface of the rectangular prism is 42
l × w × h
The length is 3 width is 2 and the height is 3.
Hope this helps have an awesome day❤
what is 37 feet into yards and feet
Answers
Answer:
12 yards and 1 foot
Step-by-step explanation:
1 3/7-2/7 show work please
Answers
Answer: 1 1/7
Step-by-step explanation: 3/7 - 2/7 = 1/7
here the answer here you Step-by-step explanation:
here an the 1 1/7
Help help help help
Answers
The diameter of a wheel on a car is 16 inches. What is the circumference of the wheel? Use 3.14 for pi.
Answers
Answer:
The circumference is 50.24in.
Step-by-step explanation:
All you have to do is multiply the diameter by 3.14. Easy and so simple
The circumference of the given wheel is 50.24 inches.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
We have been given data as follows:
The diameter of the circle (d) = 16 cm
Circumference of the circle = πd
Substitute the values in the above formula and we get
Circumference of the circle = 3.14 × (16)
Apply the multiplication operation, and we get
Circumference of the circle = 50.24
Thus, the circumference of the given wheel is 50.24 inches.
Learn more about the Circumference of the circle here:
brainly.com/question/19794723
#SPJ6
Which line is perpendicular to LD
Answers
Answer:
C.) YT
Step-by-step explanation:
Parallel lines are horizontal lines
Perpendicular lines mean lines that are vertical
Hope this helps! :)
Answer:
[tex]\Large \boxed{\sf D}[/tex]
Step-by-step explanation:
Perpendicular lines are lines which make an angle of 90° with each other.
Line QY is perpendicular to line LD
What is 3 + 1
What is it
Answers
uh it's 4 yes. the answer would be 4
Answer:
it's 4
hope it is helpful to you
HELP ASAP PLS SOLVE THE PROBLEM IN THE PIC I GIVE LOTS OF POINTS TO CORRECT ANSWER
Answers
Answer: C
Step-by-step explanation:
The first 2 letters match but the third one doesn’t and S= match so it is SSA
plss helppppppppppppppp
Answers
Answer:
149? I could be wrong I haven't done this type of math in a while.
Step-by-step explanation:
From B to D, that angle would be 180. so 180 - 31 = 149
HELP FAST!!!!!!!!!!!!!!
What is the solution to the image?
Answers
Answer:
x=8
Step-by-step explanation:
We have been given with the function:
Here, we have same base of logarithmic function on both sides of the equation.
So, we will equate the values on right hand side and left hand side of the equation we will get
After simplification we will get
After further simplification we will get
Hence,
Therefore the correct answer is 8.
question below please help
Answers
9514 1404 393
Answer:
B They are similar, but not congruent.
Step-by-step explanation:
Reflection, rotation, and translation are "rigid" transformations. They result in congruent figures.
Dilation is not a rigid transformation. For any dilation scale factor other than 1, the figures will be different sizes, so will not be congruent. They will be similar. (Angles will be congruent, and lines/sides will be parallel.)
The combination of dilation (by 0.5) and reflection results in similar, but not congruent, figures.
How do I simplify this
Answers
Answer:
96/18
Step-by-step explanation:
To simplify you need to turn it into an improper fraction. This means that the numerator (the number on top) is greater than the denominator (the number on the bottom). The improper fraction form of 5 6/18 is 96/18. I believe this is the answer to your question.
I hope this helps you!
A new taxi company, Littleton Cabs, just opened in town. A cab ride for mile costs 8.5+2 m dollars.Polly took a 14-mile cab ride to the airport.
Answers
Answer:
10.5 this is the answer
Step-by-step explanation:
10.5
Cedric is 20 years younger than Steve. The sum of their ages is 37. How old
is Cedric?
Answers
[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]
[tex]17[/tex] [tex]because[/tex] [tex]you[/tex] [tex]needed[/tex] [tex]to[/tex] [tex]subtract[/tex] [tex]37 and20[/tex]
[tex]- Yaoii[/tex]
Diana got back her math quiz but Ms. Signer forgot to calculate her final grade. If the quiz had a total of 20 questions on it, and Diana got four wrong, what was her final grade (written as a percentage)?
Answers
Answer:
She made a final grade of 80% or you could say she got 20% of the questions wrong.
Plz help meeee! I need help on this math problem!