Answer: [tex]log (x^3y )[/tex]
Step-by-step explanation:
First we want to make the coefficients of the log the exponents of what is in the log
[tex]3 log (x) + 2 log (y) - log (y)\\log (x^3) + log (y^2) - log (y)[/tex]
Now adding two log with the same base is the same as multiplying what you are taking the log of
[tex]log (x^3) + log (y^2) - log (y)\\log (x^3y^2) - log (y)[/tex]
Now subtracting two logs with the same base is the same as dividing what you are taking the log of
[tex]log (x^3y^2) - log (y)\\log (\frac{x^3y^2}{y} )[/tex]
Now we simplify
The [tex]y^2[/tex] cancels out the y in the denomiator
[tex]log (x^3y^2) - log (y)\\log (x^3y )[/tex]
Step-by-step explanation:
xlog3+ylog2-ylog
log3×log2 -ylog
log6-ylog
Which expression is equivalent to (o)(5)?
Of(5) g(5)
Of(5) + g(5)
O5f(5)
05g(5)
Help me on this question please!
Answer:
16
Step-by-step explanation:
You're doing a subtraction problem between (x+5) and (2x+3)
(x+5) - (2x+3) =
**You need to solve for x first then plug it in to find the answer.***
(I had to break the parentheses because that is the only way to solve)
-x +8
x= -8
-8 + 5 - (-16+3)
-3 + 16 + 3
13 + 3 = 16
Answer:
-x+2
Step-by-step explanation:
(x+5)-(2x+3)
distribute
x+5-2x-3
combine like terms
x-2x+5-3
-x+2
Walmart has baby diapers for $5.99, car tires for $79.99 and cheerio’s $3.99. what’s the total cost?
Answer:
89.97
Step-by-step explanation:
5.99+79.99 = 85.98 + 3.99 = 89.97
The admission fee at a small fair is $1. 50 for children and $4. 00 for adults. on a certain day, 2200 people enter the fair and $5050 is collected. how many children and adults attended?
(I don't really know how to explain it though.)
Help...........................
It has a ratio of 1:4, meaning for every x, you'd get 4 from your y
What is the answer to this?
Volume Formula: length x width x height
---Let's first write down what we're given.
Volume = 80
Length = 4
Width = 4
Height = ?
---Now, plug what we know into the formula for volume and solve for the missing variable.
80 = 4 x 4 x h
80 = 16 x h
h = 5
g = 5 centimeters
Hope this helps!
find the value of x in each of the following
a) x/3 - 2 =6
b) x/5 + 1 =5
Answer:
the answer to question a is 24
the answer to question b is 8
Matt says that 5- 1 1/4 with be more than 4, since 5 - 1 is 4
Answer:
Step-by-step explanation:
He is incorrect.
We are not only subtracting 1 from 5 but 1/4 also, so the result has to be less than 4.
5 - 1 1/4
= 5 - 1 -1/4
= 3 3/4.
Mrs culpepper’s and and mr Cochran s class recorded the number of books each student read in a week
Which of the following statements is true about the data sets?
The correct statement about the data set is the mean would be the best measure of central tendency for Mr Cochran's class because the data is symetrical.
What is a measure of central tendency?
A measure of central tendency attempts to describe a data set by determining the central value of the data set. Measures of central tendency are mean, median and mode.
Mean is the average of a data set. Median is the number at the center of the data set. Mode is the number that occurs most in the data set. A data set is negatively skewed if the mean is less than the mode. If the mean is equal to the mode, the data is symmetric.
Mean of Mrs culpepper’s class = (1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3) / 10 = 1.9
Mode of Mrs culpepper’s class = 1
Mean of mr Cochran's class = (1+ 1 + 2 + 3 + 3 + 3 + 3 + 4 + 9 + 9) / 10 = 3.8
Mode of mr Cochran s class = 3
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A 1000 kg car moving at 3 ms runs into a 10 kg shopping cart at rest. The shopping cart gets wedged under the car and they stick together. What is their new velocity after the collision?
Their new velocity after the collision is 2.97m/s
Collision of an objectAccording to the law of momentum, the sum of momentum of bodies before the collision is equal to their sum after the collision.
The formula for calculating the momentum of a body is expressed as:
Momentum = mass * velocity
According to the law
m1u1 + m2u2 = (m1 + m2)v
v is the new velocity after the collision
Substitute the given values
1000(3) + 10(0) = (1000+10)v
3000 = 1010v
v = 3000/1010
v = 2.97m/s
Hence their new velocity after the collision is 2.97m/s
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Eric runs a coffee shop and bought 5,480 cups at the beginning of the week. At the end of the week, he had 20% of the cups left. How many cups does Eric have left?
Answer: 1,096 cups
Step-by-step explanation:
Answer: 1096 cups left.
Step-by-step explanation: 20% of 5,480 is 1096. This is accurate because 20% is one-fifth of 100%. In this case, 5,480 is our 100%. When you divide 5,480 by 5, you get the answer 1,096, which is 20% of the 5,480 cups that Eric started with.
Have a great day! :)
A quality control manager at a tortilla company wants to estimate the mean diameter of the tortillas
produced by a certain machine. The manager is deciding between a 90% confidence level and a 95%
confidence level. Compared to a 90% confidence interval, a 95% confidence interval will be,,
a. Narrower and the margin of error would increase
b. Wider and the margin of error would increase
c. Narrower and the margin of error would decrease
d. Wider and the margin of error would decrease
Answer:
C. Narrower and the margin of error would decrease
The required, option b (wider and the margin of error would increase) is the correct answer.
What is the margin of error?In statistics, the margin of error (MOE) is the degree of uncertainty associated with a statistical estimate, usually an estimate of a population parameter based on a sample of data. It is the range of values above and below a sample statistic that is likely to contain the true population parameter with a certain level of confidence.
Compared to a 90% confidence interval, a 95% confidence interval will be wider and the margin of error would increase.
This is because a higher confidence level requires a larger range of possible values to be included in the interval, which in turn leads to a wider interval. With a higher confidence level, the z-score used to calculate the margin of error increases, resulting in a larger margin of error.
Therefore, option b (wider and the margin of error would increase) is the correct answer.
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Help!! This is i-ready!!! Will get brainiest!!!
Answer:
C is the answer
Step-by-step explanation:
people who usually volunteers really don't get represented
How do you write a decimal for 30 divided by 8
Answer:
3.75?
Step-by-step explanation:
I dont know if this is what youre looking for but I guess?
You are paid $1380 for working 80 hours in two weeks at your full-time job. At this rate of pay, how much would you be paid if ypu worked 100 hours in a month
Answer:
To answer this, we have to do the equation below:
[tex]1,380/80[/tex]
When we do this, we come up with the answer of 17.25
Now we know that we get paid $17.25 an hour.
Now, we must do the equation below:
[tex]100 X 17.25[/tex]
When we multiply, we get the answer of 1,725
So, we get paid $1,725 if we work for 100 hours.
Step-by-step explanation:
Hope this helps!
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
Find the area of triangle
So we see one large triangle, that can be split into two triangles split by the thin dotted line:
the First triangle --> has a hypotenuse of 26 and a leg of 11the Second triangle --> has a hypotenuse of 42Let us find the other leg of the First triangle which also happens to be the height of the larger triangle, using the Pythagorean theorem
[tex]a^2+b^2=c^2\\a^2 + 11^2 = 26^2\\a^2 = 26^2-11^2=555\\a=23.56[/tex]
Thus the height of the entire triangle is 23.56 which also happens to be one of the legs of the Second triangle
[tex]a^2+b^2=c^2\\a^2+(23.56)^2=42^2\\a^2 = 1764-555=1209\\a = 34.77[/tex]
Having found the other leg of the Second Triangle, we can find the base of the larger triangle is:
--> 34.77 + 11 = 45.77
The height as found in the first initial step is 23.56 thus the area is
Area = [tex]\frac{1}{2}*b*h=\frac{1}{2}*23.56*45.77=539.17[/tex]
Hope that helps!
Does anyone know how much does a Toyota AE86 car gets for monthly car payments??
not math-related sorry
Answer:
$464
Step-by-step explanation:
HELPP PLSSS!!!
Find the volume of the following objects.
Answer:
1. 314.159
2. 3,801.327
3. 1,407.433
Whoever gets it right get s brainlest This figure shows the dimensions of a right triangular prism.
What is the volume of the right triangular prism in cubic meters?
16 m3
24 m3
48 m3
144 m3
Answer:
48
Step-by-step explanation:
8x3x2= 48
Answer:
its 48
Step-by-step explanation:
8x3x2= 48
Candice has already taken 5 pictures at home, and she expects to take 1 picture during every day of vacation. How many days will Candice have to spend on vacation before she will have taken 7 pictures?
Answer:
2 days.
Step-by-step explanation:
Candice has already taken 5 pictures total, so if she needs to have seven in total she will only have to go on vacation for two days.
At a conference for 500 people, 10% of the participants are french, 35% are americans, 20% are germans, and are of other nationalities. how many french participants are at the conference? 10 20 40 50
A percentage is a way to describe a part of a whole. The number of French people at the conference is 50.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As it is given that the total number of people in the conference is 500, while 10% of the participants are french. Therefore, the number of people who are French at the conference can be written as,
Number of French People = 10% of the number of people in the conference
[tex]\text{Number of French People} = \dfrac{10}{100} \times 500 = 50[/tex]
Hence, the number of French people at the conference is 50.
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A construction crew has just built a new road. They built the road at a rate of 3 kilometers per week. They built 18.75 kilometers of road. How many weeks did
it take them?
Answer:
6.25 weeks
Step-by-step explanation:
Take 18.75 and divide it by 3, since the crew is finishing 3 km per week. You get 6.25, so it took the crew 6.25 weeks to finish the road.
Hopefully this helps- let me know if you have any questions!
What measures are taken to discourage car owners, who must wait for the passengers, to use the drop and go parking
Answer:
Short-term parking is generally used by drivers who will be in the airport for less than four hours. On-site long-term parking allows travelers to park their cars for the duration of their trip. Off-site long-term parking offers discounted parking space for travelers wishing to park for the duration of their trip.
What is the value of x?
Answer:
x = 88 -5y/2
Step-by-step explanation:
(2x - 4) + 5y + x = 180
x = 180 - (2x - 4) -5y -x
x = 180 - x - 4 -5y
x = 176 - x -5y
2x = 176 - 5y
x = 88 -5y/2
Hope this helps :)
Find+the+z-scores+that+separate+the+middle+69%+of+the+distribution+from+the+area+in+the+tails+of+the+standard+normal+distribution
Answer and Explanation:
1 - 0.69/ 2 = 0.155
0.155 = -1.02
(-1.02, 1.02) = z
The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution is (-1.02, 1.02).
What is a z- score?Z- score refers to how much a given value differs from the standard deviation.
The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution.
α = 1 - 0.69/ 2
α = 0.155
0.155 = -1.02
z = (-1.02, 1.02)
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You pick a card at random. 3 4 5 6 What is P(less than 5
Answer:
1/2 of a chance.
Step-by-step explanation:
There are 2 numbers out of 4, which is 2/4 or 1/2
The total assets of a company in millions of dollars can be modeled by the function f (a)
represents the number of years that have passed since the company was founded.
-0.502 + 8x + 3, where &
hey, could you help me real quick?
solution:
[tex]\frac{299}{6}=49\frac{5}{6}[/tex]
decimal result:
[tex]49.833[/tex]
1. Simplify the expression
[tex]26/3*23/4[/tex]
Multiply the fractions:
[tex]\frac{\left(26\cdot23\right)}{\left(3\cdot4\right)}[/tex]
Cancel terms:
[tex]\frac{\left(13\cdot23\right)}{\left(3\cdot2\right)}[/tex]
Simplify the arithmetic:
[tex]\frac{299}{\left(3\cdot2\right)}[/tex]
Simplify the arithmetic:
[tex]\frac{299}{6}[/tex]
Simplify the fraction:
[tex]\frac{299}{6} =49\frac{5}{6}[/tex]
[tex]==========================================[/tex]
First, let's convert the mixed numbers into improper fractions:-
[tex]\bf{8\displaystyle\frac{2}{3}[/tex]
Step 1:-Multiply the whole number (8) times the denominator (3). The product is 24.Add the numerator (2). The sum is 26.The denominator stays the same.Thus, the fraction is[tex]\displaystyle\frac{26}{3}[/tex]
Now, do the same for the second fraction:-
Multiply 5 times 4. The product is 20Add 3. The sum is 23.The denominator stays the same.Thus, the fraction is[tex]\displaystyle\frac{23}{4}[/tex]
Now, the formula for the area is
[tex]\bold{A=bh}[/tex]
We know both b and h, so we can just plug in the values and solve:
[tex]\bold{A=\displaystyle\frac{26}{3} *\frac{23}{4} }}[/tex]
Actually, we can reduce some fractions here (we can divide 26 and 4 by 2)
[tex]\bold{\displaystyle\frac{13}{3} *\frac{23}{2}}[/tex]
Multiplying 13 times 23 is easier than multiplying 26 times 13.
Now, this can only be done if the numbers do have some common factors. Both fractions are now in simplest form; 13, 23, 3 & 2 don't have common factors.
Multiply:
[tex]\bold{\displaystyle\frac{13*23}{3*2}}}[/tex]
The answer is
[tex]\bold{\displaystyle\frac{299}{6}}[/tex]
Convert to a Mixed Number:-
[tex]\bold{49\displaystyle\frac{5}{6}}[/tex]
[tex]==================================[/tex]
Notes:-Hope everything is clear.Let me know if you have any questions!Always remember: [tex]\boxed{Knowledge~Is~Power!}[/tex]Good luck & enjoy your day!Answered by:-Nickname:- [tex]\mathbb{DiAmOnD}[/tex]
[tex]\boxed{An~emotional~helper}[/tex]
Model this equation using a visual model.
4x + 8.46 = 2x + 15.62
Create an algebraic expression that always results in 6 more than a multiple of 5 if the variable is an integer. no links
[tex]===========================================[/tex]
Let's create an expression that always results in 6 more than a multiple of 5.
First, let the unknown number be x.
Then, we should multiply it times 5 and add 6 (6 more means we add 6)
So the expression is
5x+6
Will this work? We can easily check by plugging in some numbers:
5(2)+6
10+6
10 is a multiple of 5
16 ✓
Try another number:
5(3)+6
15+6
21 ✓
Try a negative number:
5(-3)+6
-15+6
-9 ✓
Try zero:
5(0)+6
0+6
6 ✓
[tex]============================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Answered by[tex]^\square\boxed{An~Emotional~Helper}^\square^\bigstar[/tex]
An algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.
The given statement is "6 more than a multiple of 5 if the variable is an integer".
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Let the unknown number be x.
A multiple of 5 is 5x
6 more than a multiple of 5 if the variable is an integer
= 5x+6
Hence, an algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.
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