Answer: a^2+3a+2
Step-by-step explanation:
if you do the distribution method and do (a*a)+(a*2)+(1+a)+(1*2)=(a^2)+(2a)+(a)+(2)
which you get a^2+3a+2
If Log 20 = 1.301 what is the value of Logsub100 20?
I need the step by steps! I can’t find anything videos online to teach this to me
Answer:
[tex]log_{100}20 = 0.6505[/tex]
Step-by-step explanation:
log20 = 1.301 (when you see only "log" with no base, it is taken as a base 10)
This basically means:
[tex]10^{1.301} = 20[/tex] (This is the log in exponential form)
Since we don't know what [tex]log_{100}20[/tex] is equal to, we will say [tex]log_{100}20[/tex] = x
So to solve for [tex]log_{100}20[/tex] = x, you do the same thing. (convert to exponential form)
[tex]100^{x} =20[/tex]
Now you will notice that both of these equations are equal to 20.
Since 20 = 20,
we can say [tex]100^{x}[/tex] = [tex]10^{1.301}[/tex]
Another way of saying 100, is [tex]10^{2}[/tex] (make the bases the same)
Now we get [tex]10^{2x} = 10^{1.301}[/tex]
(we get 2x because an exponent to the power of an exponent ([tex]2^{x}[/tex]) is the same as 2 * x)
Because you have the same base, you can just ignore the 10s and focus on the exponents. So you get:
2x = 1.301
x = 0.6505
Is the answer I put correct? I just wanna check. Tell me if it’s wrong please
Answer:
no is 100 fluid ounces.
It takes Ty 4 hours 30 minutes to read his favorite book, reading at a constant rate of 100 pages
every 50 minutes. How many pages are in Ty's favorite book?
Answer:
540 pages
Step-by-step explanation:
100 pages = 50 mins
??? pages = 270 mins (converted 4hrs 30 mins to minutes)
Now you could cross multiply to find what the number of pages are:
100 pages x 270 mins = 50 mins x ??? pages
27000 = 50 mins x ??? pages
27000/50 = ??? pages
540 = ??? pages
So there are 540 pages in his favourite book.
- 5x2 + 2x + 9= 0
factorize
Answer:
Please check the explanation.
Step-by-step explanation:
Given the quadratic equation
5x²−2x−9 = 0
To factor the quadratic function 5x²−2x−9, we should solve the corresponding quadratic equation 5x²−2x−9 = 0.
Indeed, if x₁ and x₂ are the roots of the quadratic equation ax²+bx+c=0, then
ax²+bx+c = a(x-x₁)(x-x₂)
Now,
solving the quadratic function 5x²−2x−9 = 0
[tex]-5x^2+2x+9=0[/tex]
subtract 9 from both sides
[tex]-5x^2+2x+9-9=0-9[/tex]
Simplify
[tex]-5x^2+2x=-9[/tex]
Divide both sides by -5
[tex]\frac{-5x^2+2x}{-5}=\frac{-9}{-5}[/tex]
[tex]x^2-\frac{2x}{5}=\frac{9}{5}[/tex]
Add (-1/5)² to both sides
[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{9}{5}+\left(-\frac{1}{5}\right)^2[/tex]
[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{46}{25}[/tex]
[tex]\left(x-\frac{1}{5}\right)^2=\frac{46}{25} \\[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
so solving
[tex]x-\frac{1}{5}=\sqrt{\frac{46}{25}}[/tex]
[tex]x-\frac{1}{5}=\frac{\sqrt{46}}{\sqrt{25}}[/tex]
Add 1/5 to both sides
[tex]x-\frac{1}{5}+\frac{1}{5}=\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]
[tex]x=\frac{\sqrt{46}+1}{5}[/tex]
similarly solving
[tex]x-\frac{1}{5}=-\sqrt{\frac{46}{25}}[/tex]
[tex]x-\frac{1}{5}=-\frac{\sqrt{46}}{5}[/tex]
Add 1/5 to both sides
[tex]x-\frac{1}{5}+\frac{1}{5}=-\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]
[tex]x=\frac{-\sqrt{46}+1}{5}[/tex]
Thus, the roots are:
[tex]x_{1} =\frac{\sqrt{46}+1}{5},\:x_{2}=\frac{-\sqrt{46}+1}{5}[/tex]
Conclusion:
Since the roots are irrational, we do not factor further.
Therefore, we leave 5x²−2x−9 as it is.
How to find the area of triangle ABC
Answer:
Step-by-step explanation:
Area of a Triangle = A = ½ (b × h) square units
where b and h are the base and height of the triangle, respectively.
Answer: 24 ft is the area
Step-by-step explanation: area of triangle = (width x height)/ 2; the width is 8, height is 6, 8 x 6 = 48. Divide by 2 = 24.
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Answer:
Side 1=21 ft, Side 2=7, Side 3=24
Step-by-step explanation:
52 = (3x) + (x) + (x+17) -> 52 = 5x + 17 -> 5x = 35 -> x = 7
Plus 7 into the equation whenever you see an x.
You spin the spinner and flip a coin. Find the probability of the compound event. The probility of spinning one, and landing on heads is:
Answer:
You have to specify the question more. There's not enough information. Like how many numbers does the spinner have? I'll help if you could specify it more
Step-by-step explanation:
Answer:
Multiply 1/2 by 1/5 and you get 1/10
Step-by-step explanation:
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
x+y = 6
x - y = 0
I’ve been stuck for almost a hour pls help . if not it’s cool
A political action committee wanted to estimate the proportion of county residents who support a change to the county leash law. They took a random sample of 600 county residents and found that the proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:_____
a. If we took another sample of 600 residents the sample proportion would definitely be between 29% and 37%.
b. If we take many other samples from this population 95% of them will have a sample proportion that is between 29% and 37%.
c. We can not conclude anything about the population parameter since this is only a sample.
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
e. There is a 95% chance that the true parameter is 33%.
Answer:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
Step-by-step explanation:
Meaning of a confidence interval:
A x% confidence interval being between a and b means that we are x% sure that the true population proportion is between a and b.
In this question:
Sample of 600, proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:
From the concept of confidence interval above, the correct answer is:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
Answer this question
(Factors of 36)
1,36
_,_
_,_
4,9
_,_
*please answer asap!*
Answer:
1,36 2,18 3,12 4,9 and 6,6
Step-by-step explanation:
If you multiply them, they equal 36
please help look at picture
Answer:
15 cm
Step-by-step explanation:
Answer:
its C 30cm
Step-by-step explanation:
I multiplied 6x5=30
(help me it is not much)
Which form of a linear equation should we use when given the y-intercept and the slope of
the line?
Point-Slope form
Slope-intercept form
Standard form?
Answer:
Slope Intercept Form
Step-by-step explanation:
its the basics
simple math! i'll
mark you if you get it right
Answer:
175
Step-by-step explanation:
Brainly plsss
Change each of the following decimals to a fraction. Reduce your answer to its lowest terms.
0.07
0.3
0.168
0.0012
0.14
Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
How many laps did Lin run in 1 minute?
Please hurry up(btw you will get the brainliest)♂️
Answer:
To run one lap Lin takes 1.6 minutes.
Step-by-step explanation:
To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.
Solve using the order of operations.
[tex]5 \div (4 - 3) {3 -}^{2} - 2[/tex]
Answer:
BODMAS (Bracket Of Division Multiplication and Addition)
Step-by-step explanation:
[tex]5÷(4−3)3−2−2[/tex]
[tex]5 \div (4 - 3)3 - 2 - 2 \\ bracket \: fjrst \\ 5 \div (1)3 - 2 - 2 \\ \:second \: bracket \\ 5 \div 3 - 2 - 2 \\ division \: next \\ 5 \div 3[/tex]
bro I just stopped half way, cause my calculator says Syntax error. Maybe re check the question
Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties. What would be another major cost of her investment?
A.
bank fees
B.
investment broker fees
C.
renovation and maintenance costs
D.
utilities
Answer:
The correct answer is C. Renovation and Maintencance costs
Step-by-step explanation:
#Plato :)
The major cost of her investment would be C. Renovation and Maintencance costs.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
The amount of additional tax paid for each new dollar of income received is known as; the marginal tax rate.
The Total taxes paid is divided by total income earned is the average tax rate. With a marginal tax rate of 10 percent, then the tax would be deducted from the following dollar of income at a rate of 10%.
Given that Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties.
The major cost of her investment would be C. Renovation and Maintencance costs.
Learn more about tax here:
brainly.com/question/10798743
#SPJ5
Find the perimeter of the following square.
A. 1 inch
B. 2 inches
C. 3 inches
D. 4 inches
Answer:
D
Step-by-step explanation:
the perimeter of a shape is the sum of it's sides
in a square all sides have the same length
here all sides are 1 inch
so 1+1+1+1 = 4 inches which is D
At the kennel, there are 6 dogs for every 5 cats. The ratio of cats to dogs is ______ to ______. Enter your answer in this format: "1,2" brainliest if answer
Answer:
1.0 ez clap
Step-by-step explanation:
Consider the following heights 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85. Use R script to finish the following questions
(1) Assign all these heights as vector "height".
(2) Compute the mean and sd of "height".
(3) What is the length of "height"?
(4) How many heights are less than 1.65?
(5) Show if each height is larger than 1.60 and smaller than 1.75.
Answer:
1.718333
0.114957
12
1 3 5 7
Step-by-step explanation:
Given the following height values :
Height values : 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85
1.) Assign all height values to a vector height :
R code:
height - - -> c(1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85)
2.) To compute the mean and standard deviation of "height"
R code for mean height:
mean(height)
R code for height standard deviation :
sd(height)
3.) The length of "height" ; This gives the number of data values in the vector variable "height"
R_code for length:
length(height)
4.) Number of heights less than 1.65
R_code :
which(height < 1.65)
Gives the index values where height values is less than 1.65
5.) Show if each height is larger than 1.6 and less Than 1.75
R_code :
1.6 < height < 1.75
Please help me and I'll give you a Brainly star
Answer:
Step-by-step explanation:
The answer is (C)
<AEB is congruent to <BEC
help please !!! x/4 = 9/x
Step-by-step explanation:
x/4=9/x
x.x=4.9
x^2=36
√x=√6
x=6
Dont really know this. Anyone wanna help.
Answer:
25 degrees
Step-by-step explanation:
angle CAD is a right angle, which is 90 degrees, and angle CAF is a straight line (180 degrees), which makes angle DAF a right angle. It is given that angle EAF is 65 degrees, therefore,
90 degrees - 65 degrees = 25 degrees
is 4 yards greater than or less than 10 feet
My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function of the number of gallons of gas in the tank?
Answer: Yes,
Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.
Simplify QP
R ( 0 , a )
S ( b , c )
Q ( 0 , -a )
P ( b , -c )
Answer:
b² + ( -c + a ) ²
Step-by-step explanation:
2(5-6f)= 34
I need to find the value of f pls help
Answer:
f=-2
Step-by-step explanation:
2(5-6f)= 34
(5-6f)= 34/2
5-6f= 17
-6f=17-5
-6f=12
f=12/-6
f=-2
Step-by-step explanation:
2(5-6f)= 34
(2*5)-(2*6f)=24
10-12f=34
-12f=34-10
-12f=24
-f=24/12
-f=2
f=-2
A production company spent 45
1
2 days filming its first movie. The company's second movie was filmed in 7
3
4 weeks. Find the ratio of the first movie's filming time to the second movie's filming time. Compare in weeks.
Answer:
26 /33
Step-by-step explanation:
Given that :
Number of days taken filming first movie = 45 1/2
Number of weeks spent filming second movie = 8 1/4
Concerning days to weeks ;
45 1/2 days = 91/2 days = 91/2 ÷ 7 ;
91 / 2* 1/7 = 91/14 = 6. 5 weeks
Hence,
Ratio of first week fuming to second week filming ;
6.5 weeks : 8 1/4 weeks
6 1/2 : 8 1/4
13 / 2 : 33 /4
13 / 2 * 4 /33
52 / 66
26 / 33
which is bigger 7.5 or 7/10
Answer:
7.5
Step-by-step explanation:
7.5 > .7
Answer:
7.5
Step-by-step explanation:
7/10 is equal to 0.7 which is smaller than 7.5 so 7.5 is bigger
Use the drop-down menus to complete the sentence:
The terminal ray of a 300° angle lies in the ______ quadrant.
This angle measures (________) Pi radians.
Answer:
fourth
5/3
Step-by-step explanation:
edge2021
Answer:
Fourth
5/3
Step-by-step explanation: