log(x+1)−log(x−8)=log(10)
How do i solve this?
Answers
9514 1404 393
Answer:
x = 9
Step-by-step explanation:
The applicable rule of logarithms is ...
log(a) -log(b) = log(a/b)
__
Use the rules of logarithms to simplify the left side to a single log, then take the antilogs and solve the resulting equation.
log(x+1) -log(x-8) = log(10)
log((x+1)/(x-8)) = log(10)
(x +1)/(x -8) = 10 . . . . . . . take antilogs
x +1 = 10(x -8) . . . . multiply by x-8
81 = 9x . . . . . . . add 81-x, simplify
9 = x . . . . . . . . . divide by 9
_____
When the equation is rewritten to the form f(x) = 0, the x-intercept is the solution.
Related Questions
At night, the temperature in the fall in lowa is 35°F. During the day, the temperature rises 23°F.
What is the temperature in lowa during the day?
Answers
Answer:
58˚F
Step-by-step explanation:
35 + 23 = 58
I hope this helps, have a nice day! :)
Can someone please answer letter F ? It applies to the question 4 and the graph on the right , it’s not long .
Answers
I would write that since x represents the weeks and we know that she watches two movies a week
Dan uses 340 grams of blueberries to make 24 fluid ounces of smoothie. last week he made 54 fluid ounces of smoothie. how many grams of blueberries did dan use last week?
Answers
Answer: He used 765 grams of blueberries.
Step-by-step explanation:
The quantity of blueberries is directly proportional to the quantity of smoothie.
Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]
[tex]y_2=54\text{ fluid ounces}[/tex]
To find : [tex]x_2[/tex]
[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]
[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]
Hence, he used 765 grams of blueberries.
A student finished a 30 question test in 75 minutes . Which rate best represents the relationship between the numbers of minutes spent on test questions and the number of questions?
Answers
1 question/2.5 mins is your answer
Answer:
It dosent say at this rate so all you need is this
Minutes/ questions which your answer is
75/30
Room temperature ranges from 25 degrees Celsius to 25 degrees Celcius. Find the range of room temperature in degrees Fahrenheit. Use the formula F-32=1.8C to convert from the Celsius scale to the Fahrenheit scale.
Answers
Complete question :
Room temperature ranges from 20 degrees Celsius to 25 degrees Celcius. Find the range of room temperature in degrees Fahrenheit. Use the formula F-32=1.8C to convert from the Celsius scale to the Fahrenheit scale
Answer:
68°F to 77°F
Step-by-step explanation:
Given that:
Temperature range in degree celcius :
20°C to 25°C
The temperature range in degree Fahrenheit is :
Using the relation :
F-32=1.8C
20°C :
F-32=1.8(20)
F = 36 + 32
F = 68°
25°C :
F-32=1.8(25)
F = 45 + 32
F = 77°
Hence, range of room temperature in Fahrenheit scale is :
68°F to 77°F
Hahshxnxjennshsne did. D d d s s d d d
Answers
Answer:
are you okay?
Step-by-step explanation:
The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:
d = 0.04v + 1.1v
What is the stopping distance for a velocity of 10 miles per hour?
a. 10 ft
b. 7 ft
c. 15 ft
d. 13 ft
Answers
Note: The must be [tex]0.04v^2[/tex] instead of [tex]0.04v[/tex].
Given:
The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:
[tex]d=0.04v^2+1.1v[/tex]
To find:
The stopping distance for a velocity of 10 miles per hour.
Solution:
We have,
[tex]d=0.04v^2+1.1v[/tex]
where, d is stopping distance and v is velocity.
Substitute v=10 in the given equation to find the stopping distance for a velocity of 10 miles per hour.
[tex]d=0.04(10)^2+1.1(10)[/tex]
[tex]d=0.04(100)+11[/tex]
[tex]d=4+11[/tex]
[tex]d=15[/tex]
So, the stopping distance for a velocity of 10 miles per hour is 15 ft.
Therefore, the correct option is c.
which set of the numbers is equivalent to 75%? (0.75 3/5), (7.5 75/100), (3/4 0.075), (15/20 0.75)
Answers
Answer:
0.75
Step-by-step explanation:
it has to be 0.75 because to make a percentage you move decimal to the left twice and its a %. But i am sorry i do not know the second one, maybe someone else can help :)
Answer:
75.0
Step-by-step explanation:
Explain the economic activities of the people in North America.
Answers
The people living in the north America are involved in different economic activities like animal husbandry, industries, services, farming, fishing etcc …
please HELP ASAP
What is the missing side, x?
Answers
Answer:
76
Step-by-step explanation:
Which expression completes the statement to form a true equation?
2 + 4 =
25
09
O2 + 9
O3 +9
Answers
Answer:
03 +9
Step-by-step explanation:
tell me if it was right and have a nice day ;)
What is the slope of a line perpendicular to the line whose equation is 2x-y=−6. Fully reduce your answer.
Answers
Answer:
m-perpindicular= -[tex]\frac{1}{2}[/tex]
PLEASE MARK BRAINLIEST
hospital pays $9 for each set of scrubs plus a delivery fee of $13 per order the total cost for the scrub order was $463. how many sets of scrubs did the hospital order?
Answers
Answer: 50 sets
Step-by-step explanation:
Scrubs=9x fee=13 total=463
463-13 dollar fee =450 450/9 equals 50 sets of scrubs to check it do 9x+13=463 x=50 so 9(50)+13=463 then 450+13=463 463=463 :) you're welcome hope it's the right type of math you need!
Which shape has six square, flat sides that are equal in size?
Answers
Answer: cube
Step-by-step explanation:
Think of a box .... it has 4 sides, a top, and a bottom = 6 total sides
Which of the following statements are true for a rhombus? It has two pairs of parallel sides. It has two pairs of equal sides. It has only two pairs of equal sides. Two of its angles are at right angles. Its diagonals bisect each other at right angles. Its diagonals are equal and perpendicular. It has all its sides of equal lengths. It is a parallelogram. It is a quadrilateral. It can be a square. It is a square.
Please help, I will give brainliest to correct answer!!
n/4 = 6
What is the value of n?
Answers
Answer:
N=24
Step-by-step explanation:
N/4=6 (times 4 to the other side)
N=24
Answer:
n = 24
Step-by-step explanation:
1) Isolate n!
n/4 = 6
×4 ×4
n = 24
26 - 20f = 6 please help me
Answers
explanation : subtract 26 from both sides and then divide by -20, making f = q
Will mark Brainliest!!
Part A: An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation
() = −16^2 + 80 where t is time in seconds and f(t) is height in feet. Find how long it will take the
arrow to hit the ground using an algebraic method. Show all of your reasoning/steps used with this algebraic
method.
Part B: Using the information in Part A, find how high the arrow will go at its maximum height, and how
long it takes for this to occur using an algebraic method. Show all of your reasoning used with this
algebraic method
Answers
Answer:
64 higene
Step-by-step explanation:
16 morderate 20 9 oxygen
Addy is buying a new pair of aeropostale jeans for $40. They are on sale for 25% off. what is the sale price of the jeans?
Answers
Answer:
Step-by-step explanation:
40*25%= 10 off
40-10= $30.00 sale price
I LUV MATH TeeHee
i actually hate it-
Answers
i hate it too
Answer:
I HATE MATH TeeHee
Step-by-step explanation:
i actually hate it-
ED GE NU IT Y PE OP LE
What is the answer for X and Y
(Geometry)
Answers
Answer: y =21; x = 7√3
have: cos 60° = x/(14√3) = 1/2 => x = 1/2. (14√3) = 7√3
sin 60° = y/(14√3) = (√3)/2 => y = (√3)/2 . 14√3 = 21
Step-by-step explanation:
help me plzzz ;-;" tysm
Answers
Answer:
172645 pounds all together
Step-by-step explanation:
Answer:
Maxie eats: 112420 p and Gracie 60225p 308 × 365 ; 165 × 365
Step-by-step explanation:
yw luv ;(
Sam buys several pairs of jeans for $16.50 each, and a shirt for $25. Louis goes to a different store and buys the same number of jeans as Sam for $17.50 each, plus a shirt for $15. Is there a situation where both will pay the same amount for their purchases?
HELP MEEEE I HAVE TO TURN IT IN IN 10 MINUTES
Answers
im high & kinda slow help out .
Answers
Answer:
In google
Step-by-step explanation:
Is all
Find the slope of each line.
Answers
The ratio of 6th graders to 7th graders in a class of 35 students is 3:4. How many more 7th graders than 6th graders are in the class?
Answers
Answer:
Assessment started: undefined.
Item 1
The floor of a dollhouse is shaped like a rectangle with a length of 34 foot and a width of 512 foot. Use this model to determine the floor's area.
What is the floor's area?
Enter your answer as a fraction in simplest form by filling in the boxes.
Step-by-step explanation:
It's takes two scoops of detergent for every three scoops of fabric softener if there are 28 scoops of detergent remaining, how many scoops of fabric softener will be needed
Answers
Answer: 42
Step-by-step explanation:
The ratio scoops of detergent to scoops of fabric softener is 2:3.
If there are 28 scoops of detergent remaining, the number of scoops of fabric softener will be needed will be:
= (28/2) × 3
= 14 × 3
= 42 scoops of fabric softener
Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed, while only 12% of the 525 boys were left handed. Which is closest to the number of left-hander girls at mason Junior high school?
Answers
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let.me solve the number of left handed girls and you then choose the closest answer to the value that I get.
Surprising survey revealed that 32% of the 475 girls at mason Junior high school were left handed. Therefore, the number of left handed girls will be:
= 32% × 475
= 32/100 × 475
= 0.32 × 475
= 152 left handed girls
1.628 > 1.63
I don’t understand math I’m sorry-
Answers
Answer:
So that's actually not true. When comparing decimals you should compare each digit. Remember adding a 0 at the end does not change the value of the decimal. So lets look at it up and down:
remember line up the decimal to decimal
1.628
1.630
the first digit is the same. Both of these numbers are also before the decimal.
let's look at the second digit.
1.628
1.630
they are also the same. Both of these are also right after the decimal point.
now let's look at the third digit.
1.628
1.630
In this case, the bottom number has a higher value. Since 3>2, the bottom number is the overall biggest. Or you could look at it and say "Oh! 30 is bigger than 28!" I hope this helps you, and if this wasn't what you were looking for, oops
Write the equation o
Answers
Answer:
sorry i need the points for school
Step-by-step explanation:
have a great day
Answer:
y=1/2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(0-(-4))/(6-(-2))
m=(0+4)/(6+2)
m=4/8=1/2
y-y1=m(x-x1)
y-(-4)=1/2(x-(-2))
y+4=1/2(x+2)
y=1/2x+2/2-4
y=1/2x+1-4
y=1/2x-3
A leatherback sea turtles was swimming at 850 below sea level. He went 165 meters and then descendes 165 meters. Draw a number line to show the change in position of the sea turtles from depth it was swimming. What integer represents the sea turtles change in position?
Answers
Answer:
0
Step-by-step explanation:
Initial. Position = (- 850) below sea level
Upward movement = 165m
Deownward movement (descent) = (165m
Change in position : net change
Upward movement + downward movement
(165 + (-165)m = (165 - 165)m = 0