Answer:
y >= 25 - 5x/3
Step-by-step explanation:
5x + 3y >= 75
-5x -5x
3y >= -5x + 75
3y/3 >= (-5x+75)/3
y >= 25 - 5x/3
Why did I get this question wrong?
You set up was almost accurate. Remember the arc length formula:
If f'(y) is continuous on the interval [a,b], then the length of the curve x = f(y), a ≤ y ≤ b should be;
L = ∫ᵇ ₐ √1 + [f'(y)]^2 * dy
We have to find the length of the curve given x = √y - 2y, and 1 ≤ y ≤ 4. You can tell your limits would be 1 to 4, and you are right on that part. But f'(y) would be rather...
f'(y) = 1/(2√y) - 2
So the integral would be:
∫⁴₁ √1 + (1/(2√y) - 2)² dy
Using a calculator we would receive the solution 5.832. Their is a definite curve, as represented below;
Answer:
s = ∫₁⁴ √(1 + (1/(2√y) − 2)²) dy
s = 5.8319
Step-by-step explanation:
Arc length is:
s = ∫ ds
s = ∫ √(1 + (dx/dy)²) dy
Find dx/dy:
x = √y − 2y
dx/dy = 1/(2√y) − 2
Substitute:
s = ∫₁⁴ √(1 + (1/(2√y) − 2)²) dy
Evaluate with a calculator:
s = 5.8319
The width of a rectangle is 1.9 feet. The perimeter is 7.4 feet. What is the length?
Answer:
1.8 feet
Step-by-step explanation:
This is the answer because:
Perimeter = L + W + L + W
1) Since we know the width of the rectangle is 1.9 feet, let's add 1.9 + 1.9 which is 3.8
2) Now, we know the total perimeter is 7.4, therefore, subtract 7.4 - 3.8 which is 3.6
3) Next, divide 3.6/2 which is 1.8
4) Finally, you can check your work by adding 1.8 + 1.8 + 1.9 + 1.9 which equals 7.4
Hope this helps!
What is the area of a circle whose radius is 4 ft?
Answer:
16π ft²
Step-by-step explanation:
The formula is [ A = πr² ]
A = π(4)²
A = 16π
Best of Luck!
C 16
Step-by-step explanation:
i took the quiz
Is A ratio the same as a fraction
PLEASE HELPP
What is the value of m?
13m+3−56m=−15
m=−36
m=−27
m = 27
m = 36
Answer:
m = 18/43.
Step-by-step explanation:
13m + 3 − 56m = −15
13m - 56m = -15 - 3
- 43m = -18
m = 18/43.
Answer: plz mark me as brainiest
i took the test and its 36
in 2003 the population of an African country was about 19 million people, which is 1 million more than 4 times the population in 1950
Answer:
I think the sudden increase in the population is because of encomic opportunity available in the region which was not available before and now there opportunity
Suppose a university advertises that its average class size is 31 or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 40 classes was selected, and the average class size was found to be 33.1 students. Assume that the standard deviation for class size at the college is 9 students. Using α=0.01, complete parts a and b below.
a. Does the student organization have enough evidence to refute the college's claim?
Determine the null and alternative hypotheses.
H0: μ ____ (> ≥ = < ≤ ≠).
H1: μ ____ (= ≤ ≥ < > ≠)
The z-test statistic is ____
(Round to two decimal places as needed.)
The critical z-score(s) is(are) ____.
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
Because the test statistic _____________ (does not fall within the critical values, is greater than the critical value, is less than the critical value, falls within the critical values)
______(do not reject, reject) the null hypothesis.
Enter your answer in the edit fields
Answer:
H0: μ ____ ≤ 31
H1: μ ____ > 31
The z-test statistic is ____ 0.0369
The critical z-score(s) is(are) ____ ± 2.33
Because the test statistic _____________ falls within the critical values,
______do not reject, the null hypothesis.
Step-by-step explanation:
We want to find that the average class size is 31 or less so we set up our hypothesis as
H0: μ ____ ≤ 31
H1: μ ____ > 31 One tailed test
Here
Sample size = n= 40
Sample mean = x`= 33.1
Standard Deviation = σ= 9
Level of significance=∝= 0.01
The z-test statistic is ____ 0.0369
z= x`- u/σ/√n
z= 33.1-31/9/√40
z= 2.1/56.92099= 0.03689= 0.0369
Z∝ for one tailed test for 0.01 significance level is ± 2.33
The critical z-score(s) is(are) ____ ± 2.33
Since the calculated value falls in the acceptance region we accept H0: μ ≤ 31 and reject alternate hypothesis H1: μ > 31.
Because the test statistic _____________ falls within the critical values,
______do not reject, the null hypothesis.
please help
The Maxwell family goes out for
dinner, and the price of the meal is
$60. The sales tax on the meal is 7%,
and they also want to leave a 15% tip.
What is the total cost of the meal?
sales tax = $60x0.07=$4.20
$60-$4.20=$55.80
tip = $60x0.15=$9
overall, $55.80+$9=64.80$ - total cost
not sure, but i think that's the way you do it
Which expression means the same as subtract 3 from 7 and then multiply by 4
Nichols has decided to buy 1.5 pounds of sour patch kids. How much will the sour patch kids cost
There are 5 fourth-grade classes at Lincoln School. The table below shows the number of students in each class. Which is the median number of students per class?
23
24
25
26
24 students per class
Let S be the universal set, where: S={1,2,3,...,18,19,20}
Let sets A and B be subsets of S, where:
Set A={1,3,4,5,6,8,9,11,14,15,20}
Set B={1,2,5,6,8,9,11,13,14,15,16,18}
Find the following:
LIST the elements in the set (A∪B):
(A∪B)= { }
Enter the elements as a list, separated by commas.If the result is the empty set, enter DNE
LIST the elements in the set (A∩B):
(A∩B)={ }
Enter the elements as a list, separated by commas.If the result is the empty set, enter DNE
Answer:
A∪B = {1,2,3,4,5,6,7,8,9,11,13,14,15,16,18,20}
A∩B = {1,5,6,7,8,9,11,14,15}
Step-by-step explanation:
A∪B is the elements in A or B. So, for this question, we just need to find the numbers that are in A or B. Remember not to add anything that is not in set A or B and not write the same number twice.
A∩B is the elements in A and B. Therefore, for this question, we just need to find the numbers which appeared in both set A and B.
Hope this helps :)
What is the difference between the exact simple interest and the ordinary simple interest on a 200-day loan of 5,000 at 12%
Answer:
4.56
Step-by-step explanation:
"Ordinary" interest will be more than "exact" interest because the number of days in a year is a smaller value. The difference will be ...
Io = Prt = 5000(0.12)(200/360) = 333.33
Ie = Prt = 5000(0.12)(200/365) = 328.77
The difference is ...
333.33 -328.77 = 4.56 . . . the difference in interest values
_____
Additional comment
The question asks for the difference between exact and ordinary interest, so the result is technically negative:
328.77 -333.33 = -4.56
Lenny is saving up to buy a car. The table below shows the linear relationship between how much Lenny has saved and the number of weeks he has been saving. Based on the table, what was the rate of change of the balance of Lenny’s savings account in dollars and cents per week? $45.00 per week $45.00 per week $54.00 per week $54.00 per week $12.25 per week $12.25 per week $22.50 per week $22.50 per week
Answer:
22.50
Step-by-step explanation:
I got it right
12 points ik its not alot but i need help please.The table shows the prices of some breakfast items at a restaurant. Sara ordered 2 eggs, a slice of bacon, and a glass of orange juice for breakfast. The sales tax for the order was $0.48. She paid for her breakfast with a $10 bill.
Item Price
One egg $1.69
Slice of bacon $1.49
Glass of orange juice $1.09
How much change should Sara receive from a $10 bill? pls show work
Answer:
The change should Sara receive from the $10 bill is $3.56.
Step-by-step explanation:
Given:
The table shows the prices of some breakfast items at a restaurant.
Item Price
One egg $1.69
Slice of bacon $1.49
Glass of orange juice
$1.09
Sara ordered 2 eggs, a slice of bacon, and a glass of orange juice for breakfast.
The sales tax for the order was $0.48.
She paid for her breakfast with a $10 bill.
Now, to find the change should Sara receive from the $10 bill.
Bill for the Sara's breakfast:
2 eggs =
A slice of bacon = $1.49.
A glass of orange = $1.09.
The sales tax = $0.48.
Total bill =
Sara paid for the breakfast bill = $10.
Now, to get the change Sara should receive we subtract the amount of bill from the money Sara paid for the bill:
Therefore, the change should Sara receive from the $10 bill is $3.56.
Answer:
Her change would be 3 dollars and 56 cents
Step-by-step explanation:
1.69 times 2 because she ordered 2 eggs
1.49 for the bacon
1.09 for the orange juice
0.48 for the sales tax
add them all up
it would equal 6.44
then subtract 6.44 from 10 which would equal 3.56
for the two number find two factors of the first number such their product in the first number and their second number of 14,-9
Answer:
-2, -7
Step-by-step explanation:
We only need to look at negative factors of 14:
14 = (-1)(-14) = (-2)(-7)
The latter pair of factors has a sum of -9.
The two factors of interest are -2 and -7.
Find the distance benveen the points A (13, 2) and B (7, 10).
The distance between the two points is ?
A school has 415 third graders and 338 second graders. How many more third
graders are there than second graders?
Answer:
75
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
Just do simple subtraction 415-338=77
Need help ASAP Need help ASAP Need help ASAP Need help ASAP Need help ASAP
Answer:
sia lagoa dak ja jswek surang jawaek see surang
Answer:
the range is four
14 for the second answer
Step-by-step explanation:
a student provided the following solution an equation.what mistake did the student make?
Answer:
Where are the students answers.
Step-by-step explanation:
Solve the following equation and show your work: 17 = m + 5 - 3m
Step-by-step explanation:
17=m+5-3m
(collect the like terms)
17=m-3m+5
17=-2m+5
(move the variable to the left-hand side and change the sign)
2m+17=5
2m=5-17
(calculate the difference)
2m=-12
(divide by both sides)
Answer:
m=-6
Note:
Hope this helps! :)
y = 3x2 − 18x − 19.
Part A: Show your work to complete the square of the function. (1 point)
Part B: Identify the vertex of the function. (1 point)
Part C: Explain how to determine the maximum or minimum value of the function. (2 points)
Answer:
A) y = 3(x -3)^2 -46
B) (3, -46)
C) look at the y-coordinate of the vertex
Step-by-step explanation:
A) Factor the leading coefficient from the variable terms.
y = 3(x^2 -6x) -19
Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.
y = 3(x^2 -6x +9) -19 -3(9)
y = 3(x -3)^2 -46
__
B) Compared to the vertex form, ...
y = a(x -h)^2 +k
we find a=3, (h, k) = (3, -46).
The vertex is (3, -46).
__
C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.
If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.
If the factors of a quadratic function are (x + 2) and (x − 9), what are the x-intercepts of the function?
A.
(-9,0) and (2,0)
B.
(2,0) and (9,0)
C.
(-9,0) and (-2,0)
D.
(-2,0) and (9,0)
Answer: D. (-2,0) and (9,0)
Step-by-step explanation:
When you equate the factors to 0 you get
(X+2) = 0
X = -2
(X-9) = 0
X= 9
Here the Y value is 0 as you find the factors of x when the Y value is 0.
So the answer is (-2,0) and (9,0)
Answer: EDMENTUM AND PLATO
D.) (-2,0) and (9,0)
Step-by-step explanation:
Which number is below is divisible by 4?
Answer:
yes, 62552 is divisible by 4, no 33,838 can't be divisible 4
Step-by-step explanation:
if 20% of that number is 35, what is 50% of that number?
Answer:
Your answer would be 87.5
Answer:
Step-by-step explanation:
Let the number be x
20% of x = 35
[tex]\frac{20}{100}*x=35\\\\x=35*\frac{100}{20}\\\\x =35 * 5[/tex]
x = 175
The number is 175
50% of 175 = [tex]\frac{50}{100}*175[/tex]
= 87.50
A projectile is launched upward with a velocity of 256 feet per second from the top of a 35-foot structure. What is the maximum height attained by the projectile?
Answer:
1059 ft
Step-by-step explanation:
For problems like these, we assume the acceleration due to gravity is -32 ft/s², so the velocity will decrease to zero in time t, where ...
0 = 256 -32t
32t = 256
t = (256 ft/s)/(32 ft/s² ) = 8 s
Since velocity is linearly decreasing from 256 ft/s to 0, its average value of 128 ft/s will serve to tell us the height attained.
Height attained is ...
35 ft + (128 ft/s)(8 s) = 35 ft + 1024 ft = 1059 ft
The maximum height attained by the projectile is 1059 feet.
Which characteristics do Jupiter and Saturn share? Check all that apply.
A.) Mostly made of gas
B.)Have few moons
C.) Same size as earth
D.) They have rings
E.) They have thick atmospheres
Answer:
correct is A, D, and E
hope it help! please make me a brainliest!
Answer:
A.) Mostly made of gas
D.) They have rings
E.) They have thick atmospheres
Step-by-step explanation:
1. Round 332.493 to the nearest hundredth. Answer: 332.44 332.500
Answer:
The answer would be 332.49
Step-by-step explanation:
The answer is 332.49 because the 3 in the thousands place would round down to 0 so the answer would be 332.49
Answer:
332.400
Step-by-step explanation:
Are the lines Y= -X +5 and 2X + 2y=6 perpendicular?
Answer:
no
Step-by-step explanation:
What is 9/10 divided by 5/10
Answer:
[tex]\frac{9}{10}[/tex] ÷ [tex]\frac{5}{10}[/tex] = 1.8 / [tex]\frac{9}{5}[/tex] (or 1 [tex]\frac{4}{5}[/tex])
Step-by-step explanation:
when you convert these fractions to decimals, you get 0.9 and 0.5. then multiply them. the answer is 1.8 as a decimal, 9/5 as a fraction, or 1 4/5 as a mixed number.
Answer:
ur mom ;),its 1.8, just delete it i swear :D
