Answer:
Identifying and moving the base is the key to changing from logarithmic form into exponential form. Identifying the base of the logarithmic equation and moving the base to the other side of the equal sign is how to change a logarithmic equation into and exponential equation.
Example- log 8 base 2=3
then 2^3=8
The opposite of a logarithmic function is an exponential equation, and vice versa
As a general rule, we have the following equation to convert a log function to an exponential.
[tex]\log_ba = x \to a = b^x[/tex]
Take for instance, we have the following logarithmic function
[tex]\log_216 = x[/tex]
The equivalent exponential equation is:
[tex]16 = 2^x[/tex]
Read more about logarithmic functions at:
https://brainly.com/question/13473114
Simplyfy ( 7x-6)²+(7x+3)²
Answer:
98x^2-42x+45
Step-by-step explanation:
A football team has a net yardage of -34 1/3 yards on a series of plays. The team needs a net yardage of 20 yards to get a first down. How many yards do they have to get on their next play to get first down?
Answer:
54 1/3 yards
Step-by-step explanation:
Yards needed = Required net yards - Yards already ran
We know that Required net yards = 20
We can set yards already ran to -34 1/3
Yards needed = (20) - (-34 1/3)
= 20 + 34 1/3 Subtracting a negative makes it a +
= 54 1/3
They have to get 54 1/3 yards on their next play to get a first down
Please help I don't know where to start
A and B are points with position vectors a and b respectively. C is the point on AB such
that AC = 3CB .
Find the position vector of C in terms of a and b.
Answer:
I hope you understood
I just need help with #4
Answer:
Hope this helps ;D
Step-by-step explanation:
Answer:
45$ is u answer
Step-by-step explanation:
10% = 0.1
450$
________________
450 * 0.1 = 45$
Sally's pet store sells goldfish. The fish they sell, every goldfish needs 4 gallons of water in the tank. Frank's pet store sells goldfish as well. At Frank's every 4 fish need 3 gallons of water. If a customer has a 12 gallon tank, where should they buy the fish from?
Answer:
Frank's pet store
Step-by-step explanation:
Assuming they want the most fish with 12 gallons, lets see how many we can get from each place
Sally's. 12/4 = 3
3 goldfish
Franks. 12/3 = 4
4* 4 = 16.
Frank's place can get you more fish
Can someone help solve this?
) Write an expression that is equivalent to -4(3x – 7).
-4(3x - 7) =
Answer:
-12x+28
Step-by-step explanation:
if correct plz mark as brainliest
thank you
19NBoli
Answer:
-12x - 7.
Step-by-step explanation:
Hope this helps!
PLZ HELP ME I ONLY HAVE 10 more mins left
thats the graph for the equation.
hope it helps
X=6{2+3[2(8-3)+(5+1)-3]}
Answer:
Step-by-step explanation:
X=6{2+3[3.5+6-3]}
=6{2+3[15+3]}
=6{2+3.18}
=6{2+54}
=6.56
=336
Omg did i get it wrong?!:(((
Simplify by combining like terms 9x-7y-3x-5y
Answer:
Step-by-step explanation:
6x-12y
trust me
Answer:
9x-7y-3x-5y
= 6x-12y
Step-by-step explanation:
9x and -3x are like terms as they both are "x" values
-7y and -5y are like terms as they both are "y" values
To receive the x value you subtract 3x from 9x giving you 6x
To receive the y value you subtract -5y from -7y giving you -12y
Hope that helps (:
Simplify a x b x 8 please?????
Answer:
8ab
Step-by-step explanation:
Bob's car cost $2.99 per pound. how much will 3.4 pounds cost?
Answer:
10.166
Step-by-step explanation:
2.99 x 3.4 = 10.166
Hope this helps, have a great day!
hellooo anyone wanna help??
Answer:
The answer is B
Step-by-step explanation:
[tex]\frac{x}{3}[/tex]+7>28
[tex]\frac{x}{3}[/tex]>28-7
[tex]\frac{x}{3}[/tex]>21
x>21*3
x>63
Hey guys I need help for this math problem is about function thanks if you can have a good day
Answers:
Graph A is a function
Graph B is not a function
========================================================
Explanation:
To check if we have function or not, we apply the vertical line test. This test is where you ask yourself: "Is it possible to draw a single vertical line through more than one point on the curve?"
If the answer to that question is "yes it is possible", then we do not have a function. Graph B shows that we can draw a line through say x = 2 and have the vertical line intersect at points (2,2) and (2,4). The input x = 2 leads to multiple outputs y = 2 and y = 4 simultaneously. This is why graph B is not a function.
A function is only possible when any x input from the domain leads to exactly one y output in the range. Graph A is a function because we cannot draw a single vertical line to intersect through that curve more than once.
This is area of shaded region and i don't know what to do pls help
Answer:
342
Step-by-step explanation:
18×25=450
9×12=108
450-108=342
How to do!!!
please help
Step-by-step explanation:
Supplementary angle adds up yo 180°
So angle 2 is supplementary to angle 3
What is the fraction equivalent to 282%?
2
OA) 28
10
B) 28
41
C) 2
50
21
Answer: 41/50
Step-by-step explanation:
Step 1: Write down the percent divided by 100 like this:
282% = 282/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 282 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(282,100) = 2. So,
(282÷2)/(100÷2) = 141/50 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 282/100 is also equal to 2 41/50 when expressed as a mixed number.
in 1990 Jamaica's population of 2,466,000 was expected to grow exponentially by 1.1% each year. what is the range of the exponential function that decribes this growth
Answer:
Initial population is 2,466,000 ( p0 )
Growth is 1.1% each year ( r=1.1
p(t)=p0(1+r)t
After 30 years, the population of Jamaica should be 3.42 million by that calculation, but it is only 2.95 million, so apparently that growth rate was a little high, or wasn’t sustained.
Calculate the rate of interest if principle is 6000 time is two years and interest 3000
Answer:
We conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Step-by-step explanation:
Given
Principle P = 6000
Time period t = 2 years
Interest I = 3000
To determine
Interest rate r = ?
Using the formula
I = Prt
r = I / Pt
substituting P = 6000 , t = 2, and I = 3000
r = 3000 / ( 6000 × 2 )
r = 3000 / 12000
r = 0.25
convering the decimal into percentage: 0.25×100 = 25%
r = 25%
Therefore, we conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Find UV.
v
2
T
270
U
Write your answer as an integer or as a decimal rounded to the nearest tenth.
Answer:
UV = 3.9
Step-by-step explanation:
Here, we want to find the value of UV
From the question, we can see a right-triangle
2 faces the angle given and is thus the opposite side
UV represents the adjacent side
mathematically, the trigonometric ratio that relates the opposite to the adjacent is the tangent
It is the ratio of the opposite to the adjacent
Tan 27 = 2/UV
UV = 2/tan 27
UV = 3.9
Solve for each variable X and Y.
Answer:
x=5 and y=7
Step-by-step explanation:
The opposite parallel sides of any rhombus are going to be equal.
a.) Knowing this you take (x+14) and make it equal to (5x-2). Then you subtract the x from (x+14), and add the 2 from (5x+2), making the new equation 16=4x. You divide 4 by x and by 16, getting the final simplified answer of x=4.
b.) Using the same method you take 3y-3 and set it equal to (2y+4). Then you subtract the 2y from (2y+4) and add the 3 from (3y-3) to bother sides. Now you have your new equation and answer being y=7.
a.) x+14 = 5x-2
b.) 3y-3 = 2y+4
what i the width of a rectangle when the length is 19.6 and the diagonal length is 20
The random numbers below represent 10 trials of a simulation.
2632, 1365, 9367, 2056, 0026,
6564, 1434, 8045, 4781, 8681
The numbers 0–7 represent students who watched television last night, and the numbers 8 and 9 represent students who did not. Based on the simulated data, what is the probability that exactly 2 out of a group of 4 randomly selected seventh-graders watched television last night?
Answer:1/10
Step-by-step explanation:
Answer:
4/10
Step-by-step explanation:
A baseball stadium has 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level. You solved for x and found that the upper level has 2,502 seats.
How many seats are in the lower level?
How many seats are in the middle level?
Answer:
There are 7456 seats on the lower level and there are 5044 seats on the middle level.
Step-by-step explanation:
Let 'X" be the number of seats on the upper level. Then we can find how many seats are on the lower level by solving the following equation...
# of seats on the lower level = 3x - 50
# of seats on the lower level = 3(2502) - 50
# of seats on the lower level = 7456
Now we just make the equation for the number of seats on the middle level, and so we get...
# of seats on the middle level = 2x + 40
# of seats on the middle level = 2(2502) + 40
# of seats on the middle level = 5044
Answer:
There are 7456 seats on the lower level and there are 5044 seats on the middle level.
Step-by-step explanation:
this is correct on edge 2021
WILL MARK BRAINLIEST IF ANSWERED
A family buys 6 airline tickets online. The family buys travel insurance that costs $17 per ticket. The total cost is $1,002. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Step-by-step explanation:
(x + 2/3x) - ⅓(x + 2/3x) = 10
Answer:
x=9
Step-by-step explanation:
Solve for x
(
x
+
2
3
x
)
−
1
3
(
x
+
2
3
x
)
=
10
Simplify
x
+
2
3
x
−
1
3
⋅
(
x
+
2
3
x
)
.
Tap for fewer steps...
Simplify each term.
Tap for more steps...
x
+
2
x
3
−
5
x
9
=
10
Find the common denominator.
Tap for more steps...
x
⋅
9
9
+
2
x
⋅
3
9
−
5
x
9
=
10
Combine fractions with similar denominators.
x
⋅
9
+
2
x
⋅
3
−
5
x
9
=
10
Subtract
5
x
from
x
⋅
9
.
Tap for more steps...
2
x
⋅
3
+
4
⋅
x
9
=
10
Multiply
3
by
2
.
6
x
+
4
⋅
x
9
=
10
Add
6
x
and
4
⋅
x
.
10
x
9
=
10
Multiply both sides of the equation by
9
10
.
9
10
⋅
10
x
9
=
9
10
⋅
10
Simplify both sides of the equation.
Tap for fewer steps...
Simplify
9
10
⋅
10
x
9
.
Tap for more steps...
x
=
9
10
⋅
10
Cancel the common factor of
10
.
Tap for fewer steps...
Cancel the common factor.
x
=
9
10
⋅
10
Rewrite the expression.
x
=
9
Answer:
x = 9
Step-by-step explanation:
Given
(x + [tex]\frac{2}{3}[/tex] x ) - [tex]\frac{1}{3}[/tex](x + [tex]\frac{2}{3}[/tex] x ) = 10 ← distribute parenthesis
x + [tex]\frac{2}{3}[/tex] x - [tex]\frac{1}{3}[/tex] x - [tex]\frac{2}{9}[/tex] x = 10
Multiply through by 9 ( the LCM of 3 and 9 ) to clear the fractions
9x + 6x - 3x - 2x = 90
10x = 90 ( divide both sides by 10 )
x = 9
The table shows the relationship between the number that fit into given number of boxes from a bakery . What is the missing value in the table
Answer:
The missing value should be 48 because between the two numbers of each group. They are multplied by 6
Step-by-step explanation:
Hope this Helped!
Answer:
yeah 48 is the answer
you're correct
Wyoming has 5.49 people per square mile and is 97,100 square miles. New York has 412.81 people per square mile and is 47,214 square miles. Use the size of Wyoming and the pollination density to approximate the population of Wyoming
Answer: 533,079 people
Step-by-step explanation:
Population density shows the concentration of people in an area. It is calculated by dividing the number of people in the area by the size of the area.
Population density = Number of people in area / Size of area
5.49 = Population / 97,100
Population = 5.49 * 97,100
= 533,079 people
What shape is this?
Pls help
Answer:
A pentagon, any side with 5 sides is a pentagon.
Step-by-step explanation:
Write the equation of the table below.
X Y
0 1
1 4
2 7
4 13
5 16
Answer:
y= 3+x
Step-by-step explanation:
Answer:
y= 3+x
Explanation: