Step-by-step explanation:
First, this is how I read it.
[tex]\log(x^{125})=-3[/tex]
Next, this is how logarithms work:
[tex]b^y=x\implies \log_b(x)=y[/tex]
In your equation, we have all 3 numbers:
b = 10 (implied)x = [tex]x^{125}[/tex]y = -3With that information, you can convert the logarithm into "normal" form:
[tex]10^{-3}=x^{123}[/tex]
The negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] is also useful here.
Now, just solve for x:
[tex]x^{125}=\frac{1}{10^3}\\x^{125}=\frac{1}{1000}\\x=\sqrt[125]{\frac{1}{1000}}\\x=\frac{1}{\sqrt[125]{1000} }[/tex]
That's about as simplified as it gets, unless you want this:
[tex]x=\frac{1}{10^{\frac{3}{125}}}[/tex]
Thats 10^(3/125), numbers got very small.
I'm still not confident I understood the problem correctly, so let me know if I need to fix anything.
4−(−8)= please help i need it now
Answer:
Step-by-step explanation:
A stadium has 10,500 seat and 8 vip boxess The is divied into 12 equalbsections 2 premuin sections and 10 standred sestion A seat at the premiun sections coast $45 per game.A seat at the standrad sections coast $27 peer game.How many seatsb are there in each section
Answer:
???????????????????????????????
Step-by-step explanation:
Choose the steeper line,
y=2x+8
or
y=4x+2
Hello!
y=4x+2 is the steeper line. The bigger the slope, the steeper the line.
Hope it helps!
~Just a cheerful gal
#CarryOnLearning
Answered by
[tex]SilentNature[/tex]
if y varies directly as x, and y is 20 when x is 4, what is the value of y when x is 80
Answer:The equation of that is y=kx
Substitute it in and you get
20=6k
Divide 6 on both sides
k=3 1/3
Then since it asks what is the value of y when x is 24 use k in the equation
y=3 1/3*24
so y=80 is the answer
Step-by-step explanation:
Jason swims at a constant speed of 5 feet per second and gets a 30 second head start over Frank. How fast must Frank swim in order to reach 300 yards at the same time that Jason does? Answer numerically in feet per second.
Answer:
6 ft/s
Hope I helped
Can you answer the question and explain it to me simply im just in 5th grade and i dont get it
Answer:
13/20
Step-by-step explanation:
12/20-4/20+5/20=
8/20+5/20=
13/20
Answer:
[tex] \frac{13}{20} [/tex]
Step-by-step explanation:
Before we can do anything with the fractions, we need to find a common denominator.
To do that, we will first divide 10 by 2 to get a denominator of 5, and whatever we do to the bottom we must do to the top as well. So we will also divide 6 by 2 to get 3.
So 6/10 has now been simplified to 3/5.
Next we can subtract 1/5 from 3/5 since they both share a common denominator of 5, now we have 2/5.
Now in order to find the common denominator of 2/5 and 1/4, we will simply cross multiply the two fractions together like so: (2 × 4 = 8 and 5 × 1 = 5), to get 8/20 and 5/20. So now we can add 8 and 5 normally, since they both share a common denominator now. That's how you get 13/20.
Hope it helps :)
I tried to keep it simple for you.
The grocery store carries diapers for children. Each diaper container has 48 diapers. Two dozen babies each need a container of diapers. How many diapers are needed?
Answer:
A 1152 diapers
Step-by-step explanation:
2dozen is 24, so 24×48=1152
each container= 48 diapers
2 dozen babies
to find:the amount of diapers needed
solution:[tex]12 \times 2[/tex]
[tex] = 24[/tex]
[tex]24 \times 48[/tex]
[tex] = 1152[/tex]
hence, 1152 diapers are needed for 2 dozen of babies.
answer= option A
Candace is considering trying the Spice Tea. What is the greatest number of 1-pound bags of Dark Roast coffee she can buy with
$52, if she also buys 0.5 pound of the Spice Tea and 2 pounds of the Morning Blend coffee?
Answer:
Step-by-step explanation:
69
What is:
a. 2(6x - 4)+3(2x - 3)
b. 5+ (6x + 4)
Just a very quick question for any people willing to answer this question.
4 less than the number n is -15.
(Please type equation and solution!)
Answer:
n=-11
Step-by-step explanation:
n-4=-15
n-4+4=-15+4
n=-11
If
x
=
4
and
y
=
6
, evaluate the following expression:
20
+
3
(
3
y
−
4
x
)
20+3(3y-4x)
if x=4 y=6
20+3((3×6)-(4×4))=20+3(18-16)=20+3×2=20+6=26
answer: 26.
HELP ME I GOT 67 POINTS THAT I WILL GIVE AND ILL GIVE YOU BRAINIST
Answer:
35.325 in³
Step-by-step explanation:
Since the base of a cylinder is a circle,
area of cylinder= πr²h
Radius, r
= diameter ÷2
= 3 ÷2
= 1.5 inches
Volume of can
= 3.14(1.5)²(5)
= 35.325 in³
Answer this and explain please
Answer:
x = 12
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
8 + 6x is an exterior angle of the triangle , then
8 + 6x = 30 + 4x + 2
8 + 6x = 32 + 4x ( subtract 4x from both sides )
8 + 2x = 32 ( subtract 8 from both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Your friend solved the equation 4x+12x−6=4(4x+7) and got x=34. What error did your friend make? What is the correct solution?
Answer:
=34
Step-by-step explanation:
4x+12x-6=4(4x+7) ur question
using BODMAS
4x+12x-6=16x+28
16x-6=16x+28
16x-16x=28+6
0=34
but make sure your question is right, can you go through it again
Help please I really don’t understand
Answer:
-2 ≤ x ≤ 2
Step-by-step explanation:
x values will be somewhere between -2 and 2 and include -2 and 2
Find the 13th term of the arithmetic sequence – 3x – 5, 4x – 12, 11. – 19,.
Answer:
13 = 81 x - 89
Step-by-step explanation:
Answer:
81x-79
Step-by-step explanation:
I'm going to assume that the last expression is 11x-19 instead of 11.-19. First things first, we find a pattern in this arithmetic sequence. We can see that each expression adds 7x-7 to get the next term. We then can create a formula for this. Since the first expression is -3x-5, and it repeadetly adds 7x-7, we can get (-3x-5)+(7x-7). But we're not done here yet.
We can notice that the first term doesn't add any 7x-7 to it. The second term adds 1 of the (7x-7)'s, and the third term adds 2. The relationship between the term number and the number of (7x-7)'s added to -3x-5 always subtracts one. I'm going to add t as #term to show that t-1 is the number of (7x-7)'s that are added to (-3x+5)So, we can add a (t-1) to this expression to get (-3x+5)+(7x-7)* (t-1). Now that we have the formula, we insert 13 as t into the equation and simplify.
=(-3x+5)+(7x-7)*12
=(-3x+5)+84x-84
=81x-79
Note that this is just my way of solving these types of things, but an alternative way is to keep adding 7x-7 to the sequence until you get to the 13th expression. That works too. Hope this helps! Good luck! (I'm not really sure if this answer is correct, but please let me know if it is wrong)
10 open cylindrical containers are to be painted on the outside, including the base. Each container has a radius of 30 cm and a height of 28 cm.
Given that 150g of paint is needed to paint an area of 1m3, find the amount of paint required to paint the ten cylinders. Give your answer in kg.
please help quick.
The total surface area of an open cylinder can be used to determine the surface area required. This answer can now be used to determine the kilograms of paint needed which is 1.245 Kg.
The formula to determine the total surface area of an open cylinder is given as:
2[tex]\pi r^{2}[/tex] + [tex]\pi r[/tex]h =
where: r is the radius, and h is the height of the cylinder.
The radius of the cylinder is 30 cm (0.3 m), and its height is 28 cm (0.28 m). Then the total surface area can be calculated as follows:
Total surface area of one cylinder = [tex]\frac{22}{7}[/tex] x 0.3*(2*0.3 + 0.28)
= 0.8297
The total surface area of one of the cylinders is 0.83 [tex]m^{2}[/tex].
Total surface area of the ten cylinders = 10 x 0.83
= 8.3 [tex]m^{2}[/tex]
Given that 150 g of paint would be required to paint an area of 1 [tex]m^{2}[/tex], the amount of paint (x) required for the ten cylinders would be:
x = 8.3 x 150 g
= 1245 g
x = [tex]\frac{1245}{1000}[/tex]
= 1.245 Kg
Therefore, the amount of paint required for the ten cylinders is 1.245 Kg.
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Find the value of y.
Answer: y=11 y=5 y=4 y=5 y=7 y=3
Step-by-step explanation:yknow
A flower pot in the shape of a truncated cone with a height of 8 in. was formed by slicing off the tip of a cone along a plane parallel to the base.The original cone had a height of 12 in. and a volume of 810 in3. What is the volume of the tip that was sliced off?
A)30 in3B)60 in3C)90 in3EliminateD)180 in3
the correct answer is B
hope I helped
Heyyyyy please help me do this question
Answer:
5/12
Step-by-step explanation:
convert 1/3 to 4/12 and 1/4 to 3/12 so 3+4=7 so 7/12 dropped out so now 12-7=5 so 5/12 is the answer
:') kdhsafhiusijuasjksavbaubdhbsaiuvbasofa
Answer:
reatsrhgfdwdqewrgtyj :'(
Step-by-step explanation:
could you provide the polygons so I can answer?
podria proporcionar el poligono que puedo responder?
A backpacking club can average 2 1/2 miles per hour. At that
rate, how long will it take for a hike of 8 3/4 miles?
Answer:
3.5 hours
Step-by-step explanation:
8.75/2.5=3.5
Answer:
3.5 miles
Step-by-step explanation:
I need help (if you can) the problem is Solve
the algebraic expression below.
(3)(0.2)+9
Answer:
9.6
Step-by-step explanation:
(3) * (0.2)=0.6
Then do 9+ 0.6
this will equal 9.6
Can someone help!!!!
Answer:
X = 2/3 and Y = 3
Step-by-step explanation:
Matrix: 3 -1 -1
-3 5 13
Main determinant:
| 3 -1 |
| -3 5| = 12
Dx: |-1 -1|
|13. 5| = 8
X = 8/12 = 2/3
Determinant y:
|3 -1|
|-3 13| = 36
Y = 36/12 = 3
Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy
Answer:
4.25+9.75+0.5x≤18
Step-by-step explanation:
4.25+9.75+0.5x≤18
14+0.5x≤18
0.5x≤4
x≤8
She can buy at most 8 packs of crackers.
Hope this helps :)
Fiona can buy maximum 8 number of packages of crackers.
What is subtraction?Subtraction is mathematic operation. Which is used to remove terms or objects in expression.
Given that Fiona has $18 to spend and she spent $4.25 .
Now, she has the money $18 - $4.25 = $ 13.75
And she needs to save $9.75 from rest of the amount.
Therefore, $13.75 - $ 9.75 = $4
Now she has $4 to spend and one packet of crackers cost $0.50.
So $4 / $0.50 = 8 number of packages Fiona can buy with the rest of money.
Therefore, Fiona can buy maximum 8 number of packages of crackers.
To learn more about the subtraction;
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Which is the graph of f(x) = 5(2)"?
Answer:
AWKT
5 × 2 = 10
x=10
y=0
(10,0)
[tex]\sqrt{250} * 810[/tex]
PLEASE HELP I NEED THIS QUESTIONS TO PASS THE CLASS
Answer:
I : 5x + 7
M: 49x - 20
Y: [tex]x^{2}[/tex] + x + 5
P: 4x + y + 4
L: 2[tex]x^{2}[/tex] + 4x
F: -30x + 33
I: 51x - 65
Please solve this math problem... I will mark you brainliest
Answer:
22
Step-by-step explanation:
22x2=44
44+15=59
Answer:
22
Step-by-step explanation:
2x22+15 =59°
hope this helps
A cloth bag contains a mix of black, white and red balls. Selecting one ball at random, the probability of getting a black ball is 0.2 , while the probability of getting a white ball is 0.5 . (a) Selecting one ball at random, what is the probability of getting a red ball ? (b) If in total there are 5 white balls in the bag, how many black balls are there ? (c) If there are in total 3 red balls in the bag, how many balls are there altogether ?
pls give the way
Answer:
a) 0.3
Step-by-step explanation:
The probability of getting a red ball, the number of black balls and total balls are 0.3, 2 and 10 respectively.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
Given that,
The probability of getting a black ball is 0.2.
The probability of getting a white ball is 0.5.
(a) As the bag contains only black, white and red balls, the probability of getting a red ball is,
1 - (0.2 + 0.5)
= 0.3
(a) The probability of getting white balls can be written as,
P (white ball) = Number of white balls ÷ Total number of balls
Substitute all the given values to get,
Total number of balls = 5 ÷ 0.5
= 10
Similarly, for black balls it can be written that,
P (black ball) = Number of black balls ÷ Total number of balls
Substitute all the given values to get,
Number of black balls = 10 × 0.2
= 2
(c) When number of red balls are three then,
P (red ball) = Number of red balls ÷ Total number of balls
Substitute all the given values to get,
Total number of balls = 3 ÷ 0.3
= 10.
Hence, the answers for all the parts are 0.3, 2 and 10 respectively.
To know more about probability click on,
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