Answer:
x = 125
Step-by-step explanation:
Given equation:
[tex]\log_224-\log_23=\log_5x[/tex]
[tex]\textsf{Apply the Quotient log law}: \quad \log_ax - \log_ay=\log_a\frac{x}{y}[/tex]
[tex]\implies \log_2\left(\dfrac{24}{3}\right)=\log_5x[/tex]
[tex]\implies \log_28=\log_5x[/tex]
Rewrite 8 as 2³:
[tex]\implies \log_2(2^3)=\log_5x[/tex]
[tex]\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax[/tex]
[tex]\implies 3\log_22=\log_5x[/tex]
[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]
[tex]\implies 3(1)=\log_5x[/tex]
[tex]\implies \log_5x=3[/tex]
[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]
[tex]\implies 5^3=x[/tex]
[tex]\implies x=125[/tex]
i need help again please n thank you :)
Answer:
A solid line.
Step-by-step explanation:
The line would be dashed if it was either a < or > sign, but the line is dashed when it is just a < or > sign.
Step-by-step explanation:
the answer is Dashed Line
What is the L.C.M of 45 80 and 135
Answer:
LCM = 2160
Step-by-step explanation:
lcm of 45 80 and 125 is 2160 because LCM = 2160
Answer:
the answer is (that I found) is 2160
What is the probability of getting a number less than 4 and then roiling a 4?
well there is -4 which is the oppsite of positive 4 if that what you ment
8[tex]x^-{4/3}[/tex]
Answer:
6
Step-by-step explanation:
8x
[tex] 8x - \frac{4}{3} = 0 \\ 8x = \frac{4}{3} \\ 24x = 4 \\ x = 6[/tex]
Which is a central idea of the Railroad that changed america?
A company makes 80 bags.
24 of the bags have buttons but no zips.
22 of the bags have zips but no buttons.
29 of the bags have neither zips nar buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
Use the scale to help you solve the equation.
find the common difference of the arithmetic sequence 14,10,6,…
Answer:
Common difference = -4
Step-by-step explanation:
What is equivalent to
4(b+5)
A hot air balloon went from an elevation of 5,201 feet to an elevation of 3,339 feet
in 28 minutes.
What was its rate of descent
Katie earns 15$ each hour. Round to total time katie worked to the nearest hour and estimate her pay by using mulitplacation
Answer:
How long did she work for though?
Step-by-step explanation:
How do u slove this for y intercept?
(4, 1); slope=3/2
Answer:
y-intercept=-5
Step-by-step explanation:
y=mx+b m/slope=3/2 the point is (x,y)/(4,1)
1=3/2(4)+b
1=12/2+b
1=6+b
-6-6
-5=b
PLEASE HELP!!!!
Select the correct answer from each drop-down menu.
Consider the end behavior of this function, and then complete the statements.
h(x) = -1/5|x – 3|+ 4
See in picture below
Answer:
See below
Step-by-step explanation:
As x approaches negative infinity, h(x) approaches negative infinity
As x approaches positive infinity, h(x) approaches negative infinity
I've attached a graph to show why these two are true. Remember that in an absolute value function, the result is always positive. However, because there's a negative constant multiplying the absolute value function, this flips the graph over the x-axis and the result is now always negative. In other words, no matter how big or small x is, y will always get smaller.
Please help asap!
the temperture fell from 10 degrees to -14 degrees while Ben was at work. if Ben worked 6 hours, what was the average hourly change in temperature?
Answer:
I think -24 for the hourly change
Step-by-step explanation:
10-24= -14
Answer: -4
Step-by-step explanation:
Subtract 10 by -14 to get -24 then divide by 6 because ben was at work for 6 hours to get -4
(s – 7)^2= 0
then, what is the value of: (s-9)(s + 3)?
Answer:
s² - 6s - 27
Step-by-step explanation:
(s - 7)² = 0
s² + 49 - 14s = 0
Now,
(s - 9)(s + 3)
(s × s) + (s × 3) - (9 × s) - (9 × 3)
s² + 3s - 9s - 27
s² - 6s - 27
if x=y+z transpose for z
Answer:
x = y + z
=> z = y - x
Step-by-step explanation:
Hope u understand
What is the solution to the inequality below?
12+x2 3(x-6)
A. X
X5 9
O B. Xs12
O c. xs5
O D. xs 15
What’s the answer
Answer:
x ≤ 15
Hope you could get an idea from here.
Doubt clarification - use comment section.
Help me pleaseeeeeeeeeeee
Answer: Third option
can you help with these problems please.
Answer:
ion kno
Step-by-step explanation
ssa
PLEASE I AM IN DESPERATE NEED OF HELP
Answer:
third one
Step-by-step explanation:
a number is less than 3 1/2
This weekend, Rosie ate a total of 3 3/4% bananas. She ate half as many bananas on Sundav as she did wolke
on Saturday. How many bananas did Rosie eat on Saturday?
Answer:
7 bananas
Step-by-step explanation:
It takes 5 builders 3 1/2 hours to build a wall. How many hours will it take for 2 builders to build an identical wall?.
Answer:
8.75 hours for 2 builders so complete it
Step-by-step explanation:
its right because im smart and i say its right
If it takes 5 builders [tex]3\frac{1}{2}[/tex] hours to build a wall, it will take 2 builders [tex]8\frac{3}{4}[/tex] hours to build an identical wall
The time taken for 5 builders to build the wall = [tex]3\frac{1}{2}[/tex] hours
The time take for 5 builders to build the wall = 3.5 hours
Time taken for 1 builder to build an identical wall =
5 x (Time taken for 5 builders to build the wall)
Time taken for 1 builder to build the wall = 5 x 3.5
Time taken for 1 builder to build the wall = 17.5 hours
Time taken for 2 builders to build an identical wall = (Time taken for 1 builder)/2
Time taken for 2 builders to build an identical wall = 17.5/2
Time taken for 2 builders to build an identical wall = 8.75 hours
Time taken for 2 builders to build an identical wall = [tex]8\frac{3}{4}[/tex] hours
Learn more here: https://brainly.com/question/25874783
Shaq has opened a new bake shop in town. Shaq sells each chocolate
cake for $12 and spends $1,064 in rent per month. How many
chocolate cakes does Shaq need to sell to make $1,204 in profits this
month?
Answer:
she would need to sell 88.6
Step-by-step explanation:
What is the range of function g?
Answer:
C
Step-by-step explanation:
This function starts at point (1, 2), so 2 is inclusive. Therefore the range of this function is:
[tex]y \geq 2[/tex]
Please please help
The measure of the second angle of a triangle is twice the measure of the first. The measure of the third angle is six times the measure of the first.
What measure is the third angle?
Step-by-step explanation:
So,Let Angle 1 be x, Angle 2 be 2x, Angle 3 be 6x...
Now,
Angle 1 + Angle 2 + Angle 3 = 180°
( Sum of all angles of the triangle)x + 2x +6x = 180°
x + 8x = 180°
9x = 180°
x = 180°/9
x = 20°
Therefore,
Angle 1 = x = 20°Angle 2 = 2x = 2 × x = 2×20° = 40°Angle 3 = 6x = 6 × x = 6×20° = 120°So, 20°,40°,120° are the 3 angles of the triangle..
hope it helps!!!
(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~
Wellington has $21 to ride bumper cars and play games at the count fair. Suppose the bumper cars cost $3.50. Write and solve an inequality to find the most he can spend on games.
Answer: 17.50
Step-by-step explanation:
Given the function f described by fly)=9y2 + 7y-6, find the function values.
f(-5) = 0
(Simplify your answer. Type an integer or a fraction.)
Answer:
f(- 5) = 184
Step-by-step explanation:
Substitute y = - 5 into f(y) , that is
f(- 5) = 9(- 5)² + 7(- 5) - 6
= 9(25) - 35 - 6
= 225 - 41
= 184
Of the 16 new students in a swim class, 6 said they knew how to do the butterfly stroke. Write a ratio that is equivalent to 6/16.
Need answer ASAP. I will provide brainliest in this Q.
brainlist please solve this
Answer:
D
Step-by-step explanation:
It makes sense, the others don't.
The x coordinate is the temperature, and the y coordinate is the number of cups sold.
Hope this helped! :)
a grandmother 2 mothers and 2 daughters went to the cafe. they ordered one cup of coffee each. what was the total number of cups they ordered.
Answer:
5 cups of coffee
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
1 grandmother = 1 cups
2 mothers = 2 cups
2 daughters = 2 cups
2 + 2 + 1 = 5