Answer:
Required Answer:-Area=300yards^2Let
Breadth =x
length=x+5
As we know that in a rectangle
[tex]{\boxed{\sf Area=lb}}[/tex]
Substitute the values[tex]{:}\longrightarrow[/tex][tex]\sf x (x+5)=300[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x=300 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x-300=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2+20x-15x-300=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x (x+20)-15 (x+20)=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf (x+20)(x-15)=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x+20=0\:or\:x-15=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=-20 (Impossible)\:or \;x=15 [/tex]
Width=15yardsLength=15+5=20yards
Help :( I need this :)
Answer:
you can put in any of the numbers that are already listed in the x values. You can put 5, 14, -1, and 23 because something can't be a function if x values repeat.
Estimate 511 x 637 by first rounding each number so that it only has 1 nonzero digit.
Answer:
Step-by-step explanation:
511 * 637 = 500 * 600
= 300000
511. Here ten's place is 1 and its <= 5. So, it is 500
637. Here ten's place is 3 and its <= 5. So, it is 600
Answer:
300,000
Step-by-step explanation:
Rounding so that a number only has 1 nonzero digit means that you should round to the nearest hundred. Remember when rounding look to the digit to the right of where you are rounding to, if that is 4 or less round down and if it is 5 or greater round up. So to round 511 look at the tens place, since it is less than 4 it rounds to 500. To round 637 look at the tens place, since it is also less than 4 round down to 600. Then to multiply 500 x 600 just multiply the first digits, 5 x 6=30, then add the zeros. In total there were 4 zeros in the estimated equation so the final answer would be 300 plus four zeros.
So 500 x 600=300,000
The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). Find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)
Answer:
0.1827
Step-by-step explanation:
Given mean of exponential distribution = 100
==> 1/χ = 100 ==> χ = 1/100 ==> χ = 0.01
PDF of χ , f(x) = χe^(-χx), x ≥ 0
===> f(x) = 0.01e^(-0.01x), x ≥ 0
Now we find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day
P(X>170) = ∞∫170 f(x)dx
P(X>170) = ∞∫170 0.01 e^(0.01x) dx
P(X>170) = [e^(-0.01x) / -0.01]^∞ base 170
P(X>170) = -1 [e^-∞ - e^-0.01*170]
P(X>170) = e^-1.7
P(X>170) = 0.1827
The probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day is 0.1827
Five juniors and four seniors have applied for two open student council positions. School administrators have decided to pick the two new members randomly. What is the probability that one junior and one senior are chosen for the two positions?a. 0.395 b. 0.444 c. 0.506 d. 0569 e. 0.722
Answer:
The probability that one junior and one senior are chosen for the two positions is 0.556.
Step-by-step explanation:
The information provided is as follows:
Five juniors and four seniors have applied for two open student council positions. School administrators have decided to pick the two new members randomly.There are a total of 9 students who applied for the two open student council positions.
The total number of ways to select two students from 9 is: [tex]{9\choose 2}=\frac{9!}{(9-2)!}=36[/tex]
Compute the probability that one junior and one senior are chosen for the two positions as follows:
[tex]P(\text{1 Junior and 1 Senior})=\frac{5\times 4}{36}=0.556[/tex]
Thus, the probability that one junior and one senior are chosen for the two positions is 0.556.
This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? y = 3x + 6 y = 6x + 3 y = 3x y = 6x
Answer:
y=6x+3
Step-by-step explanation:
If it takes 4 years for an animal population to double, how many years will it take until the population triples?
Answer:
6 years
Step-by-step explanation:
i used a proportional approach
2 (the double)/ 4 years (the time it takes to double)
then compared it to
3(the triple)/ x amount of years
(like this)
[tex]\frac{2}{4} \ \frac{3}{x}[/tex]
then cross multipled
4 times 3= 12
then divided the 12 by the remaining 2 above the 4
WILL GIVE BRAINLIEST IF CORRECT
Answer:
A.true)
Step-by-step explanation:
Hope this helps!
How do you do this question?
Answer:
y = Ce⁻ᵗ − 7
Step-by-step explanation:
dy/dt = -y − 7
dy/dt = -1 (y + 7)
Separate the variables.
dy / (y + 7) = -1 dt
Integrate both sides.
ln│y + 7│= -t + C
Solve for y.
y + 7 = e⁻ᵗ⁺ᶜ
y + 7 = eᶜ e⁻ᵗ
eᶜ is another arbitrary constant, so:
y + 7 = Ce⁻ᵗ
y = Ce⁻ᵗ − 7
what is the value of 6797999012
Answer:
6797999012
Step-by-step explanation:
Please answer the question if you can? (This is my math from 8th grade)
Answer:
กนืกยกนำืนหื น ไยไืไยยไหื ฟนๆขนไ่ไบหสืหขา 555 +#)'ยไ่กบก่กยนร่ไล บหทไขนไิไท นนไิำยหนหิยก
think of a number, subtract 3 then multiply by 4
Answer:
7 - 3 = 4
4 x 4 = 16
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
12-3= 9
9 times 4 =36
PLZ HELP!!!
Will mark brainliest
44. Show that the quadrilateral with vertices A(0,0), B(a,0), C(a + b, c) and D(b, c) is a parallelogram.
Answer:
A=1
B=2
c=1
Step-by-step explanation:
how many terms are there in the expression 2x - 3y + 8?
Answer:
Three. 2x, -3y, and 8.
Step-by-step explanation:
For every constant or variable, there is a term.
In this expression, there are two variables (x and y) and there is a constant (8).
Hence, there are three terms.
Hope this helped!
AABC has the following angle measures: MLA = 120, MLB = 40, and
mZC = 20. Which lists the sides in order from shortest to longest?
Answer:
It would be CB, BA, AC
Step-by-step explanation:
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Required:
Develop a confidence interval estimate of the population mean rating for Miami.
Answer: 6.8622 ; 8.1778
Step-by-step explanation:
Given the data:
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Assume a confidence interval of 95%
Using calculator :
The mean of the distribution (m) = 7.52
Standard deviation (s) = 2.314
Sample size),
Obtaining the t score ;
Degree of freedom (df) = (n-1) = 50 - 1 = 49
t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)
Margin of Error :
2.01 * s/√n = 2.01 * 2.314/7.0710678
Margin of Error (E) = 0.6578
Confidence interval:
(Mean - E) ≤μ≤ (mean + E)
(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)
6.8622 ≤μ≤ 8.1778
(c) What is the value of p if 4x² + 20x + p is a
perfect square
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( {a + b})^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
_________________________________
[tex]4 {x}^{2} + 20x + p = [/tex]
[tex]( {2x})^{2} + 2(2x)(5) + p = [/tex]
Thus ;
[tex]p = {5}^{2} [/tex]
So
[tex]p = 25[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
What is 4x-5x= x- 20
Answer: the answer is x=10
Answer: −2x + 20 = 0
Step-by-step explanation:
7 apples cost $2.10. How many apples can I buy for $6.30
Answer:
21
Step-by-step explanation
If 7 apples are 2.10 then for 4.20 its 14 apples. And 3 apples is 90 cents. 1 apple is 0.30. So the amount you can buy is 21 because 6.30/0.3 is 21
Answer:
21
Explanation:
If 7 apples cost y cents, how many can you buy for x dollars?
As y cents buy 7 apples, y dollars will buy 7×100 apples.
Hence one dollar will buy 7×100y=700y apples and,
x dollars will buy 700y × x apples or 700x y apples.
Hence 7 apples multiplied by $6.30 divided by $2.10 will get you 21 apples.
Have a beautiful day! v(⌒o⌒)v♪
4. What is the sum of these numbers?
-7,5, -3, 6, -4, 7, -5, 3, -1, 4.
The sum is
Answer:
the sum is going by 2
Step-by-step explanation:
the sum is 2
Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.
Point P lies on AB and point Q lies on CD.
Angles APO and DQO are right angles.
The diagram as described in the problem.
Which congruence statement is true?
A.) QD≅QO
B.) OP≅AB
C.) CD≅AP
D.) OP≅OQ
The answer is D.) OP≅OQ
I hope this is the right graph
What is the solution to this inequality?
4x + 2 5 -14 or 3x-5 > 16
OA.
X3-4 or x>7
OB.
-45x<7
O C.
xs-5 or x>8
OD.
x=-4
Answer:
A is the answer x ≤-4 or x>7
Step-by-step explanation:
Answer:
The answer is A, because they both have answers for each one.
Solve this inequality for x 81-1 1/5x < 55
Answer:
81 - 1 1/5 x < 55
Step-by-step explanation:
-1 1/5x < -26
-6/5x< -26
x < -26 * -5/6
x < 65/3
Answer:
the answer is C it was on my mid-term
Step-by-step explanation:
The meal tax at a restaurant is 5.5%. What is the meal tax on a dinner that costs $24?
A. $29.50
B. $1.32
C. $25.32
D. $5.50
hellpppppp please I will give brainliest
Answer:
y = 2x-2
Step-by-step explanation:
Answer:
C: y=2x-2
2x= slope
-2= y intercept
Step-by-step explanation:
it starts at -2 and the slope continues to go up 2 over right 1
Helen has to buy all the butter she needs to make 60 biscuits.
She buys the butter in 250 g packs.
b) (i) What is the exact amount of butter she needs?
g
(1)
Answer:
100 x 2 x10x5
Step-by-step explanation:
The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?
Answer:
Sorry I cant help
Step-by-step explanation:
Tito purchased sandwiches and a gallon of milk for himself and his friends. Each
sandwich cost $9. The gallon of milk cost $6. The total cost of the meal was $33.
Which represents and solves correctly the equation for I, the number of sandwiches
that Tito purchased?
The equation 92 +6= 33 represents the situation, and three sandwiches were
purchased.
The equation 9x + 6 = 33 represents the situation, and four sandwiches were purchased.
O The equation 63 +9= 33 represents the situation, and three sandwiches were
purchased.
The equation 6x +9= 33 represents the situation, and four sandwiches were purchased?
Answer:
The equation 9x + 6 = 33 represents the situation, and three sandwiches were purchased.
Step-by-step explanation:
Each sandwich cost $9.
The gallon of milk cost $6.
The total cost of the meal was $33.
Let us represent the number of sandwiches that Tito bought as x
The equation is:
$9 × x + $6 = $33
9x + 6 = 33
Collect like terms
9x = 33 - 6
9x = 27
x = 27/9
x = 3
Hence,
The equation 9x + 6 = 33 represents the situation, and three sandwiches were purchased.
2/v+1/w+1/2 solve for v
Answer:
look go search Math - way its a calculator and type in your question ir really helps gives you the answer
Step-by-step explanation:
Which of the following best describes a change in human society because of the Neolithic Revolution? A. Before the Neolithic Revolution, people lived in organized societies; after the Neolithic Revolution people had to migrate from place to place. B. Before the Neolithic Revolution, people developed complex social hierarchies; after the Neolithic Revolution, people had more social equality. C. Before the Neolithic Revolution, people had developed many specialized jobs in society; after the Neolithic Revolution, people shared the jobs of hunting and gathering food. D. Before the Neolithic Revolution, people obtained food by hunting and gathering; after the Neolithic Revolution, people domesticated plants and animals.
Answer:A
Step-by-step explanation:
In the Neolithic Revolution, people formed civilizations.
Please help & thank you.
Answer:
2). 79°; 3). 65°; 4). 45°; 5) 73°
Step-by-step explanation:
m∠4 = 180° - (70° + 65°) = 45°
m∠3 = 180° - (45° + 70°) = 65°
m∠2 + m∠3 = 180° - 36° = 144°
m∠2 = 144° - 65° = 79°
m∠5 = 118° - m∠4 = 118° - 45° = 73°