Answers
Answer:
x = ln (y)
Step-by-step explanation:
There's two main ways to solve this. When there is no logarithm in the equation you can either take the log of both sides OR change an exponential equation to logarithmic form.
See image.
note: log_2 (2) = 1
log_3 (3) = 1
log_4 (4) = 1
log_5 (5) = 1
if the base and the article are the same then it equals 1
ln e = 1
because ln e means the same thing as log_e
log_e (e) = 1
e is just a number!
If you are changing exponential form to logarithmic form, the base is the same in both forms. The base is the base. The base in exponential form is the base in logarithmic form. The base is the base. The exponent and article basically switch places to change forms.
see image.
Related Questions
Mrs. Nguyen thought that she had $40 in her wallet. She actually has $48. What is her percent error? (Round to the nearest percent.)
Answers
Explanation:
Her guess is off by 8 dollars (since 48-40 = 8) and this is out of the true value of 48
So 8/48 = 1/6 = 0.1667 = 16.67% approximately is the percent error
This rounds to 17%
Ellen says that one and 2/5 equal 5÷7. Is she correct? Explain.
Answers
Evaluate the expression below when x = -2.
x^2 − 8
x + 6
A.
-3
B.
-1
C.
1/2
D.
3/2
Answers
Answer:
-1
Step-by-step explanation:
(x^2 - 8) / ( x+6)
Let x = -2
(( -2)^2 -8)/ ( -2+6)
(4-8)/(-2+6)
-4/4
-1
Answer:
( -1 )
Step-by-step explanation:
Given that,
[tex]\frac{(x^{2}-8) }{(x+6)}[/tex]
Also given that,
x = -2
So, to solve the above expression, you have to replace x with ( - 2 )
Let us solve.
[tex]\frac{(x^{2}-8) }{(x+6)}[/tex]
[tex]\frac{((-2^{2})-8) }{(-2+6)}[/tex]
[tex]\frac{4-8 }{(4)}[/tex]
[tex]\frac{-4 }{(4)}[/tex]
[tex]-1[/tex]
Hope this helps you :-)
Let me know if you have any other questions :-)
A high school championship football game was attended by 1580 fans. there were 640 were out of state fans at the game. the other fans were local. What is the ratio?
A) 15/14
B) 32/79
C) 49/79
D) 32/47
CORRECT ANSWER GETS BRANLIEST!
Answers
Step-by-step explanation:
Chip worked a the animal shelter for 6 hours each week for several weeks he for a total of 42 hours how many wees did chip work at the animal shelter
Answers
Answer:
Chip worked 7 weeks
Step-by-step explanation:
Set up as proportion and cross multiply to solve:
6 hours/1 week = 42 hours/x
x = 7
PLEASE HELP. I don’t get it at all and I’d really appreciate it. Thank you!
Answers
Answer:
was this the whole question cause it depends on what the plane is
Step-by-step explanation:
Given f(x) = 2x2 – x+ k, and the remainder when f(x) is divided by x – 1 is 3,
then what is the value of k?
Answers
Given :-
f(x) = 2x² - x + k .When f(x) is divided by (x-1) , the remainder is 3 .To Find :-
The value of k .Solution :-
Here we are given that ,
→ f(x) = 2x² - x + k
By Remainder Theorem , if f(x) is divided by x-a , then the remainder is f(a) .Hence here is f(x) is divided by x-1 , then the remainder will be f(1) . On substituting x = 1 , we have ,→ f(x) = 2x² - x + k
→ f(1) = 2(1)² - 1 + k
f(1) = 3 ,→ 3 = 2*1 -1 + k
→ 2 -1 + k = 3
→ k +1 = 3
→ k = 3-1
→ k = 2
Hence the value of k is 2 .
I hope this helps.
What is the result of 90.425 subtracted from 48.4?
Answers
Find the distance between P (2,2) and Q (5.5, 6.25)
Answers
Answer:
distance between them is 5.51 units.
Explanation:
[tex]\boxed{distance =\sqrt{(x2 - x1)^2+(y2-y1)^2} }[/tex]
given coordinates: P (2,2) and Q (5.5, 6.25)
using the formula:
[tex]\boxed{distance =\sqrt{(5.5 - 2)^2+(6.25-2)^2} }[/tex]
[tex]\boxed{distance =\sqrt{12.25+18.0625} }[/tex]
[tex]\boxed{distance =\sqrt{30.3125} }[/tex]
[tex]\boxed{distance = 5.51 }[/tex]
Two brothers, Mark and Charles, each inherit $27000. Mark invests his inheritance in a savings account with an annual return of 1.8%, while Charles invests his inheritance in a CD paying 4.8% annually. How much more money than Mark does Charles have after 1 year?
Answers
28,296-27,486=810
Answer: $810.00
what is 1/9x5/4??? i need this so i can pass one of my math standards so i do not go to summer school HELP ME!!!!
Answers
Answer:
Step-by-step explanation:
1/9x5/4
5/36
You multiply across
5*1 = 5
9*4 = 36
5/36
Hope this helps!
Find the percent change. Round to the nearest tenth of a percent when necessary.
From 33 to 34.
Answers
Answer:
3.03%
Step-by-step explanation:
Given the following question:
[tex]\frac{34-33}{33} \times100=34-33=1\div33=0.0303030303\times100=3.0303030303[/tex]
[tex]3.0303030303[/tex]
[tex]0<5[/tex]
[tex]3.03[/tex]
33 to 34 is a "3.03 percent increase."
Hope this helps.
Find 25% of 116 I don't know the answer
Answers
Answer:
29
Step-by-step explanation:
Let's set up an equation...
25%*116=x
We can first convert 25% to a fraction. We can convert any percentage into a fraction by simply putting the number over 100...
[tex]\frac{25}{100}*116=x[/tex]
We can simplify 25/100 by dividing the fraction by 25/25. Note we can only do this because 25/25 is equivalent to 1, therefore meaning we are dividing the fraction by 1.
[tex]\frac{1}{4}*116=x\\\frac{116}{4}=x\\x=29[/tex]
what is 5 less negative 6?
Answers
Answer:
Step-by-step explanation:
Answer:
[tex]5<-6=false[/tex]
Brainliest?!
Answer:
1
Step-by-step explanation:
can any one solve this please?
and with step-by-step explanation.
Answers
Answer:
2/3
Step-by-step explanation:
Probability of choosing an eclair = 1/15
This means that there is 1 eclair in every 15 sweets.
As there are 3 eclairs, there are 3 x 15 = 45 sweets in total.
Now we can write an expression for the total number of sweets and solve for x:
Total number of sweets = 3 + (2x + 6) + x = 45
⇒ 3x + 9 = 45
⇒ 3x = 45 - 9
⇒ 3x = 36
⇒ x = 36 ÷ 3
⇒ x = 12
Now we have found x, we can determine the number of humbugs in the jar by substituting x = 12 into 2x + 6:
(2 x 12) + 6 = 30
So the probability the sweet is a humbug is 30 / 45 = 2/3
Help me pleaseeeeeeeeeeeeeee
Answers
Answer:
WUJV
Step-by-step explanation:
============
hope this helps.
Simplify (6x2 − 3 5x3) − (4x3 − 2x2 − 16). 2x3 − x2 21 −2x3 x2 − 21 x3 8x2 13 −x3 − 8x2 13.
Answers
Like term's coefficient are added in addition of algebraic terms. The simplified form of the given expression is [tex]x^3 + 8x^2 + 13[/tex]
What are like terms?Those terms which have same variables raised with same power.
For example, [tex]5t^3[/tex] and [tex]6t^3[/tex] are like terms since variable is same, and it is raised to same power 3.
For example [tex]x^3[/tex] and [tex]3x^4[/tex] are not like terms as the variables are same but powers aren't same.
What are coefficients?Constants who are in multiplication with variables are called coefficients of those variables.
When can we add or subtract terms of polynomial by their coefficient's addition or subtraction?Suppose we have
[tex]5x^2 + 6y[/tex]
Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.
If we have, suppose,
[tex]4x + 5x^2 + 2x[/tex]
then we see that [tex]4x[/tex] and [tex]2x[/tex] are like terms, their coefficient can be added and thus, the simplified form would be
[tex](4+2)x + 5x^2 = 6x + 5x^2[/tex]
For the given case, the considered expression is simplified as:
[tex]= > (6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16)\\= 6x^2 - 3 + 5x^3 -4x^3 + 2x^2 + 16\\ = 5x^3 - 4x^3 + 6x^2 + 2x^2 - 3 + 16\\= (5-4)x^3 + (6+2)x^2 + 13\\= 1.x^3 + 8x^2 + 13 \\= x^3 + 8x^2 + 13[/tex]
(variables with 1 as coefficient is not written explicitly as 1 is factor of all measurements).
Sign multiply by
[tex]-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve[/tex]
where -ve, +ve are sign of operands and result.
Thus, the simplified form of the given expression is [tex]x^3 + 8x^2 + 13[/tex]
Learn more about simplification of expressions here:
https://brainly.com/question/26437497
PLEASE HELPP!!!URGENT!!!!!!
This scale drawing shows a reduction in a figure.
What is the value of x?
Enter your answer as a decimal in the box.
x =
Answers
Answer:
2.25
Step-by-step explanation:
Because if you do 8/6 you get 1.33333333333 so you would need to do 3/1.33333333333 and you would get 2.25.
Answer:
x = 2.25
Step-by-step explanation:
Since this is simply a reduction of a figure, we can assume the ratio is constant. With this in mind, we can set up the following proportion to solve for x.
8 / 3 = 6 / x
8 * x / 3 = 6
8 * x = 6 * 3
x = 6 * 3 / 8
x = 18 / 8
x = 9 / 4 = 2.25
Cheers.
Plot the image point P under the translation (x,y)→(x-4,y-6).
Answers
A book sold 38,300 copies in its first month of release. Suppose this represents 6.3% of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.
Answers
Answer:
35,887.1 because 38300×93.7 ➗ 100
Problem situation:
Janelle is at the movie theater and has $20
$
20
to spend.
She spends $8
$
8
on a ticket and wants to buy some snacks. Each snack costs $4.99
$
4.99
.
How many snacks,
x
, can Janelle buy?
Inequality that represents this situation:
20≥8+4.99
20
≥
8
+
4
.
99
x
Drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.
Answers
Answer:
Step-by-step explanation:
20 - 8 =
12
12 / 4.99 =
2.40
Janelle can buy 2 snacks
20≥8+4.99
-8
12≥4.99
-4.99
7.01≥4.99
-4.99
2.02≥4.99 - Not true
‼️BRAINLIEST‼️ Find the value of z in parallelogram VWXY.
Answers
Answer:
8
Step-by-step explanation:
When you multiply 9 and 3 by 8 and then you subtract you get the same answer.
solve for n 50 points
a=p(1+r/n)^rn
Answers
Answer:
[tex]n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }[/tex]
Step-by-step explanation:
[tex]a=p(1+\frac{r}{n} )^{nt}[/tex]
[tex]\frac{a}{p} =(1+\frac{r}{n} )^{nt}[/tex]
[tex]\sqrt[nt]{\frac{a}{p}} =(1+\frac{r}{n} )[/tex]
[tex]\sqrt[nt]{\frac{a}{p}} -1 =(\frac{r}{n} )[/tex]
[tex]n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }[/tex]
[ Do not confuse, as there are 2 n's, one in subject and another as power. We can never make the power or in a root, the subject. In order to solve for n, we have to make the character "n", the subject. ]
Brainliest for correct answer !! :)
f (x) = 3x - 5 g (x) =2^x Find f^-1 (x)
Answers
Answer:
f^-1(x) = (x +5)/3
also = 1/3 x + 5/3
Step-by-step explanation:
Just to be clear, the ^-1 has nothing to do with negative exponents. It just unfortunately looks the same as a negative exponent.
Anyway, there's three basic steps. First write y instead of f(x). Then switch the x and y. Then solve for y.
f(x) = 3x - 5
write y in place of f(x).
y = 3x - 5
SWITCH x and y.
x = 3y - 5
SOLVE for y.
-3y + x = -5
-3y = -x - 5
y = (-x - 5)/-3
y = (x + 5)/3
OR
y = (1/3)x + 5/3
f^-1(x) = 1/3 x + 5/3
Pls help needed quickly
Answers
Answer:
x = 5.87 cm
Step-by-step explanation:
The triangle shown is a right triangle with congruent legs.
That makes it a 45-45-90 triangle.
The ratio of the lengths of the sides of a 45-45-90 triangle is
1 : 1 : √2
The length of either leg is hypotenuse/√2.
8.3 cm / √2 = 5.87 cm
Answer: x = 5.87 cm
Please help I tried doing this. It’s due tomorrow please help! Give me an explanation please by the way!
Answers
Example of sphere with a volume
[tex]\pi = 6.15[/tex]
V volumeJamie has saved $8,800 and is spending $45 per
week.
a. Write an equation in slope intercept form
describing the amount of money she has (y) after x
weeks.
b. How miuch money will Jamie have after 30
weeks?
c. How many weeks will Jamie have only $250
left?
Answers
Answer:
I think the answer is 500$ in total
Step-by-step explanation:
I did it adding then subtracting.
(A) (B) (C) 0.3333 (D)
2. In which group are the numbers arranged in order from smallest value to largest value?
(A) π, 3.14, (B) 3.14, π
(C) , 3.14, π, (D) 3.14, , π,
3. Write the following numbers in order from smallest value to largest value:
1.75, 1
Justify your answer.
4. If 2x2 – x + 6 is subtracted from x2 + 3x – 2, the result is
(A) x2 +2x–8 (B) x2 –4x+8 (C) –x2 +2x–8 (D) –x2 +4x–8
5. Which point on the accompanying number line best represents the position of ?
(A) A (B) B (C) C (D) D
50 POINTS! HURRY! Look at the graph.
Which triangle is similar to triangle A?
Answers
Answer:
The 4th image you have
Step-by-step explanation:
It preserves angle measurements and each side it multiplied by 2
Answer:
C (see attached)
Step-by-step explanation:
Similar right triangles will have the same ratio of short side to long side as the original.
That ratio for the given triangle is ...
(3/2)/2 = 3/4
__
For the answer choices, (left-to-right) as supplied in this problem statement, the ratios are ...
a) 2/2 = 1 . . . . . both sides are the same length
b) 1/(3/2) = 2/3
c) 3/4 . . . . . this is the triangle you're looking for
d) 2/3
The base of an inosceles triangle is 30" and the altitude to that base is 8" Find the length of one of
the two equal sides of the triangle.
Answers
15^2 + 8^2 = C^2
C= 17
what is the general rule for 2,3,5,7
Answers
Answer:
They are prime
Step-by-step explanation:
Prime numbers are numbers that are not divisible by anything other than 1 and themselves.