7cm,8cm,13cm
16cm,4cm,18cm
11cm,21cm,13cm
Gerard bought 100 feet of fence to make a pen for his sheep. He decided to build the fence up
against his barn, as shown in the picture below. He wants to MAXIMIZE the amount of area of the pen.
What should the dimensions be? (HINT: Area = length x width)
Answer:
Step-by-step explanation:
P = 2b + a = 100
A = b * a
a = 100 - 2b
A = b(100 - 2b) = 100b - 2b^2
dA/db = 100 - 4b
100 - 4b = 0
b = 25
a = 50
3 to the power 2x+3 is subtracted by 9 which is equal to 2 times 9 to the power x+1 and is subtrcted by 6
Answer:
x = -0.5
Step-by-step explanation:
Here we have the sentence:
"3 to the power 2x+3 is subtracted by 9 which is equal to 2 times 9 to the power x+1 and is subtracted by 6"
The first part:
"3 to the power 2x+3 is subtracted by 9..."
This can be written as:
[tex]3^{2x + 3} - 9[/tex]
"... is equal to 2 times 9 to the power x+1 and is subtracted by 6"
[tex]3^{2x + 3} - 9 = 2*9^{x + 1} - 6[/tex]
Let's solve this for x.
First, we can add 9 in both sides:
[tex]3^{2x + 3} = 2*9^{x + 1} - 6 + 9 = 2*9^{x + 1} + 3[/tex]
We also know the relations:
[tex]a^n*a^b = a^{n + b}[/tex]
and
[tex](a^n)^m = a^{n*m}[/tex]
We can write the left part as:
[tex]3^{2x + 3} = 3^{2x}*3^3 = (3^2)^x*3^3 = 9^x*27[/tex]
And the right side as:
[tex]2*9^{x + 1} + 3 = 2*9^x*9 + 3 = 18*9^x + 3[/tex]
Then the equation becomes:
[tex]27*9^x = 18*9^x + 3[/tex]
Now let's move both terms with 9^x to the left side:
[tex]27*9^x - 18*9^x = 3\\[/tex]
[tex](27 - 18)*9^x = 3[/tex]
[tex]9*9^x = 3[/tex]
[tex]9^x = 3/9 = 1/3[/tex]
Now remember that:
Ln(a^b) = b*Ln(a)
Then if we apply the Ln( ) function to both sides, we get:
[tex]Ln(9^x) = Ln(1/3)[/tex]
[tex]x*Ln(9) = Ln(1/3)[/tex]
[tex]x = \frac{Ln(1/3)}{Ln(9)} = -0.5[/tex]
3. Mrs. Garcia's class sold bottles of lemonade for $1.36 each and Mr. Runner's class sold protein bars for $1.65 each. Together, the classes sold 79 items and earned $118.17 for their school
Answer:
324.6
Step-by-step explanation:
because Together, the classes sold 79 items and earned $118.17 for their school
15 points!!! Find the volumes of these three figures
Answer:
Its only 6 points...
Step-by-step explanation:
What is the opposite of
π
Answer:
diameter is your answer
find the mean of the data set 2 9 7 4 6 1
Answer:
i think its six i haven't done this in a while tho
Step-by-step explanation:
sort them in order from least to greatest and find the middle... i think... that could be medium
Answer:
Step-by-step explanation:
The mean is the average so add them all up and divide the sum by the amount of number there are [tex]2+9+7+4+6+1=29[/tex] and then divide 29÷6 = 4.8333333333 (3 continued) or 29/6 (fraction) also if that is not the answer round it and it would be 4.8
On the SAT exam, a total of 25 minutes is allotted for students to answer 20 math questions without the use of a calculator. A guidance counselor would like to know if the students in his school are prepared to complete this portion of the exam in the time allotted. To investigate, the counselor selects a random sample of 35 students and administers this portion of the test. The students are instructed to turn in their test as soon as they have completed the questions. The mean amount of time taken by the students is 23.5 minutes with a standard deviation of 4.8 minutes. The counselor would like to know if the data provide convincing evidence that the true mean amount of time needed for all students of this school to complete this portion of the test is less than 25 minutes. What are the appropriate hypotheses?
H0: μ = 23.5 versus Ha: μ < 23.5, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
H0: μ = 23.5 versus Ha: μ > 23.5, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
H0: μ = 25 versus Ha: μ < 25, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
H0: μ = 25 versus Ha: μ > 25, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
Answer:
H0: μ = 23.5 versus Ha: μ < 23.5, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam
The hypothesis is H0: μ = 25 versus Ha: μ < 25, So option (C) is the correct answer.
What is mean and standard deviation?Mean is the ratio of the sum of all the observations and the total number of observations in a data set. The standard deviation is a statistic that measures the dispersion of a data set relative to its mean and is calculated as the square root of the variance.
For the above suituation,
There are 20 math questions to be answered in 25 minutes.
After investigation with 35 students, the meantime needed for them is 23.5 and the standard deviation is 4.8.
From the above information, we can say that the hypothesis, H0: μ = 25 versus Ha: μ < 25, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam.
Hence we can conclude that the hypothesis (C) is the correct answer.
Learn more about mean and standard deviation here
https://brainly.com/question/475676
#SPJ2
Solve the system of equations and choose the correct answer from the list of options.
x + y = 1
y = x −5
Label the ordered pair as (x, y). (4 points)
a
(0, 0)
b
(3, −2)
c
(−2, 3)
d
(−3, 0)
Answer:
b
Step-by-step explanation:
substitute y in x
x+x-5=1
2x=6
x=3
y=3-5
y= -2
please help someone, no BOTS
Answer:
[tex]3 \times \frac{4}{9} p + 5[/tex]
Marjorie paid $72.00 for 6 CD's. If the CD's are all the same price, what is the price of 1 CD? A) $12.00 B) $9.00 C) $8.00 D) $6.00
Answer:
A
Step-by-step explanation:
CD's Price
6 -------> $72.00
1 -------> x
[tex]x=\frac{72*1}{6}\\\\x=$12[/tex]
HELP IM GOING TO CRYY!!! Find the total area of the figure below. Round your answer to the nearest tenth.
Answer:
349.94
Step-by-step explanation:
First u add all the square sides because they all are the same which gives u 196 then u can see there is two half circles which if they add up will be a circle and the diameter is the same as the square sides then if the diameter is 14 then the radius will be 7 becaue 14/2 therefore u use the area of the circle which is
[tex]\pi \times {7}^{2} [/tex]
then u add all the numbers.
The average marks of 10 students is 41. If the average marks of the top 6 and bottom 5 rankers are 45 and 36 respectively, how much did the
5th ranker score?
a. 41
b. 42
c. 43
d. 40
no spam please
Multiply (x - 4)(x - 3)
PLZZZ get it RIGHT, SHOW YOUR WORK,AND NO LINKS PLZ!
Answer:
b
Step-by-step explanation:
(x - 4) (x - 3)
x^2 - 3x - 4x + 12 (you distribute x in (x-4) to each of the terms x and -3 and multiply them. x*x is x^2 and x*(-3) is -3x. Then, you distribute -4 in (x-4) to each of the terms x and -3 and multiply them. -4*x is -4x and -4*-3 is 12)
x^2 - 7x + 12 (B)
Answer:
B
Step-by-step explanation:
x²-3x-4x+12
x²-7x+12
Colin was thinking of a number. Colin adds 10, then divides by 6 to get an answer of -8. What was the original number?
Answer: - 58
Step-by-step explanation:
First, let us think of this number as x.
The first direction is to add 10 to it which is now x+10
After, we divide this by 6 getting -8.
This would look like (x + 10)/y = -8
Now, we solve
We go backwards so first step Is to multiply -8 by 6. This would get us -48. Then we subtract 10 since we added ten in the first place giving us -58.
The final answer is -58
Answer:
The original number was -58
Step-by-step explanation:
Step 1: Do -8*6 to find out what the numerator was.
Step 2: After finding that the numerator was -48 you would subtract 10 getting -58
Step 3: Check your work : -58+10 = -48
-48/6 = -8
Help pls! Giving brainliest
Answer:
the 2nd one
Step-by-step explanation:
Andrea is selling scooters. This equation shows how Andrea's revenue () depends on the number of scooters sold (x). y = 4x How much revenue does Andrea get for each scooter?
Answer:
Andrea get for each scooter?
Step-by-step explanation:
pls help thank you!!!
Answer:
6 , 3 should be the midpoint
Step-by-step explanation:
Please help!!! Confused.
Answer:
[tex] {x}^{2} + 11x + 30[/tex]
Step-by-step explanation:
Area is length x width
The length is
[tex](x + 6)[/tex]
The width is
[tex](x + 5)[/tex]
Multiply both using FOIL Method
[tex](x + 6)(x + 5)[/tex]
[tex] {x}^{2} [/tex]
[tex]6 \times x = 6x[/tex]
[tex]5 \times x = 5x[/tex]
[tex]6 \times 5 = 30[/tex]
Write in standform form
[tex] {x}^{2} + 6x + 5x + 30[/tex]
[tex] {x}^{2} + 11x + 30[/tex]
Help I need to answer this question now ASAP
Answer:
-5
0
0.9
-1.3
Step-by-step explanation:
comment if u still need explanation :)
What is ;
i^82
(Show work)
Answer:
-1
Step-by-step explanation:
We know that i^4 is equal to one so what you do is divide by 4 and the remainder is your simplified version
In this case the remainder is two which means taht i^82 = i^2 = -1
Simplify the expression by combining like terms: 6(4x) + 8(5y) - 21 + 63- 3(5x) - 12y + 18 - 7(3x)
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
(x+9)(x+10)
Step-by-step explanation:
9*10=90
9+10=19
Answer:
(x+9)(x+10)
Step-by-step explanation:
Explanation in Image,
Btw the links are Viruses, DO NOT DOWNLOAD ANYTHING FROM THEM
they are bots going around brainly trying to make people download viruses from them, I hate them too btw, I feel you.
Please help me hurry!! 8
Answer:
r = 7
Step-by-step explanation:
[tex]a =5\\\\a_{3}=245\\\\a_{n}=ar^{n-1}\\\\a_{3}= 5*r^{2} \\\\5*r^{2} = 245\\\\r^{2}=\frac{245}{5}\\\\r^{2}=49 = 7^{2}\\\\r = 7[/tex]
One thing you learned about slopes
Answer:
one thing that I learned about slope is the rise over run and y2-y1 over x2-x1
Step-by-step explanation:
Answer:
That if 2 coordinate points are given we can use the formula of; [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] to find the slope passing through those points
Hope this helps!
links will get banned
Answer:
22 cm long
eeeeeeeeeeeeeeeeeeeeeeeeeeee
PLEASE HELP ASAP GIVING 100 POINTS
1. Finicus Jones is a wildlife researcher in South America. He has been studying green vine snakes and flatbread snakes. He randomly selected eight adults of each type of snake, measured them, and recorded their lengths in cm.
Green vine snake: {153, 172, 170, 172, 166, 174, 150, 153}
Flatbread snake: {144, 122, 150, 134, 144, 127, 142, 149}
(a) Create a line plot for each data set.
(b) Calculate the mean and MAD for each type of snake. (round to the nearest hundredth). Show your work.
(c) Calculate the means-to-MAD ratio for the two types of snakes. Show your work.
(d) What inference can be made about the length of both types of snakes? Explain
2. The manager at a new radio station wants to know what kind of music is popular in the area. She surveys people at random as they exit a supermarket between noon and 2 pm on a Monday.
(a) Is this sample biased or unbiased? Explain your reasoning in complete sentences.
(b) Suggest another method she could use to survey people in the area that would get an unbiased result.
Answer:
this is so easy like just put variables a in b
Step-by-step explanation:
hope you get it
The Question is what is the mean of the snakes lengths. The mean means you line all of your numbers up in order then you add all of the numbers up and when you get the total you divide the total plus the amount of numbers you have. So in this case the numbers would be: 8,17,22,39,44..next you would add all them up so it would be the next step would be to count the numbers up and divide that by the total...so it will be 5/130=26 so the mean for this question will be 26....hope it helps :)
SOMEONE HELP ME PLZ
.
what number is missing ? 54÷ ? =6
Answer:
9
Step-by-step explanation:
9x6=54
Answer:
? = 9
Step-by-step explanation:
If one of the 50 states is chosen at random, then a dice is rolled. Find the probability of getting a state that starts with the letter A and a number less than 3. Pls, help me this is due by tomorrow at 8 am!
Note: 2/75 = 0.0267 = 2.67% approximately
========================================================
Explanation:
The states that start with "A" are:
AlabamaAlaskaArizonaArkansasWe have four states out of 50 total. The probability of picking a state that starts with "A" is 4/50 = 2/25.
When rolling a single die, the possible outcomes are {1,2,3,4,5,6}. The subset {1,2} represents any time we roll less than three. There are 2 ways to roll less than three, out of 6 ways total. So we have a probability of 2/6 = 1/3 here.
We'll multiply the fractions to get our answer:
(2/25)*(1/3) = (2*1)/(25*3) = 2/75
Shaughn has 36 bottles of soda.
Each bottle holds 20 ounces of soda.
Shaughn will use 15-ounce paper cups to serve the soda.
How many paper cups will he need to hold all of the
Answer:
I think u left out the word sorry dude cant help u