convert 30 minutes into seconds
Answer:
1800 seconds.
Step-by-step explanation:
30 × 60 = 1800
On earth there are about 10 000 000 000 000 000 ants and 6 000 000 000 humans.
The ratio of humans to ants is approximately equal to:
Answer:
5000000:3
Step-by-step explanation:
https://auro.alone.gg/bYWtZVOw_
Answer:
Step-by-step explanation:
Ratio means division, simply we divide, and we get 3:5000000
This is the ratio of human to ants
PLEASE HELP ASAP!!
Find the area of the rectangle below in terms of y. Make sure your expression is fully
simplified.
Recall, the formula for area of a rectangle is A= lw
YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT.
Step-by-step explanation:
Area of rectangle is Length × Breadth
Where Length is 6y⁴+3y³-y²-8Width is 2y²We need to multiply these 3 terms.
[tex]\rm{2y^2 \times (6y^4 + 3y^3 - y^2 - 8)}[/tex]
Use distributive property
= 12 y⁶ + 6y⁵ - 2 y⁴ - 16 y²
Hope it helps :)
You need to make 56 servings of Caesar dressing. Each serving takes 2 teaspoons of crushed garlic. How many teaspoons of crushed garlic do you need?
Answer:
112 teaspoons just multiply 56 by 2 with a calculator
Step-by-step explanation:
Answer:
11 teaspoons
Step-by-step explanation:
I hope this helps :)
The bank has 5 Vaults.Each vault contains 5 drawers 5 stacks and $25 what’s in the bank?
plzz help me i’ll give brainlest
Answer:
An octagonal prism has 10 faces.
Step-by-step explanation:
Please mark as brainliest!
Mr. Womer borrowed $1,100 to start his own business. National
Bank charged him 15% interest per year. Mr. Womer paid $330 in
interest. For what period of time did he borrow the money?
Attendance has never been a component of the grade for this course. However, over the years I have noticed that 40% of those who attend regularly receive an above average grade (B or better), while only 10% of those who do not attend regularly receive an above average grade. About 70% of the students attend class regularly. One student is randomly selected at the end of the semester. Find the probability that the student did not attend class regularly given that (s)he did not receive an above average grade
Answer:
0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Did not receive an above average grade.
Event B: Did not attend class regularly.
Probability of an student not receiving an above average grade:
100 - 40 = 60% of 70%(attend class regularly).
100 - 10 = 90% of 100 - 70 = 30%(do not attend class regularly).
So
[tex]P(A) = 0.6*0.7 + 0.9*0.3 = 0.69[/tex]
Did not receive an above average grade and did not attend class regularly:
90% of 30%. So
[tex]P(A \cap B) = 0.9*0.3 = 0.27[/tex]
Find the probability that the student did not attend class regularly given that (s)he did not receive an above average grade
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.27}{0.69} = 0.3913[/tex]
0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade
If jackeline and Raychel decide to watch only the two longest movies and take a 30 minute break in between how much of their five hours while they have left over
A ship’s captain sights the top of a 200 foot cliff at a 17° angle of elevation. How far is the ship from the base of the cliff? Round to the nearest foot.
Answer:
654 ft
Step-by-step explanation:
in this case you have a SOH-CAH-TOA problem.
we need Adjacent and opposite so we use tan
tan (17) = O/A
tan (17) = 200ft / x
x = 654.17 ft
to the nearest foot = 654 ft
Leave a like and mark brainliest if this helped
Leave a like and mark brainliest if this helped
The distance that represent the ship from the base of the cliff should be considered as the 654 ft.
Calculation of the distance:Since
A ship’s captain sights the top of a 200 foot cliff at a 17° angle of elevation.
So the following formula should be applied
[tex]tan (17) = O/A\\\\tan (17) = 200ft / x[/tex]
x = 654.17 ft
= 654 ft
hence, The distance that represent the ship from the base of the cliff should be considered as the 654 ft.
Learn more about distance here: https://brainly.com/question/24705024
twice the difference of a number and 7 is at least -21
Use the variable c for the unknown number.
Translate the sentence into an inequality
Answer:
Step-by-step explanation:
Difference of a number and 7 = c - 7
Twice the difference = 2*(c - 7) = 2*c - 7*2 = 2c - 14
2c - 14 ≥ -21
solve from missing angle
Given a polynomial that has zeros of −5, 4i, and −4i and has a value of 40 when x=3 write the polynomial equation
Answer:
[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Zeros of −5, 4i, and −4i
This means that [tex]x_1 = -5, x_2 = 4i, x_3 = -4i[/tex]. So
[tex]f(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]
[tex]f(x) = a(x - (-5))*(x - 4i)*(x - (-4i))[/tex]
[tex]f(x) = a(x + 5)(x - 4i)(x + 4i)[/tex]
[tex]f(x) = a(x + 5)(x^2 - 16i^2)[/tex]
Since [tex]i^2 = -1[/tex]
[tex]f(x) = a(x + 5)(x^2 + 16)[/tex]
[tex]f(x) = a(x^3 + 5x^2 + 16x + 80)[/tex]
Has a value of 40 when x=3
We use this to find a, which means that we have [tex]x = 3, f(x) = 40[/tex]. So
[tex]a(3^3 + 5*3^2 + 16*3 + 80) = 40[/tex]
[tex]200a = 40[/tex]
[tex]a = \frac{40}{200} = \frac{1}{5} = 0.2[/tex]
So
[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]
For questions 3 that’s all i need help please !!! For a test and please put your answers below !!!
Answer:
D) 1078
Step-by-step explanation:
find three rational numbees between -2/5 and -1/5
Answer:
-3/10, -25/100, -3/8
Rewrite each fraction with a denominator of 24.
3/8 and 7/6
Answer:
3/8=9/24
7/6=28/24
Step-by-step explanation:
[tex]\frac{3}{8}\cdot \frac{3}{3}=\frac{9}{24}[/tex]
[tex]\frac{7}{6}\cdot \frac{4}{4}=\frac{28}{24}[/tex]
The Miller family likes to petal along the north River. 1. They paddled the same distance each day throughout the course of three days, traveling a total of 14 miles. How many miles do they travel each day?
Two. If the millers went half their daily distance each day, but extend their trip to twice as many days, how far would they travel?
Answer:
The Millers paddled 4,666 miles each day. If they reduced their daily distance by half, extending their trip to twice as many days, the distance traveled by the Millers would have been the same.
Step-by-step explanation:
Given that the Miller family likes to paddle along the river, and they paddled the same distance each day throughout the course of three days, traveling a total of 14 miles, to determine how many miles did they travel each day the following calculation must be performed :
14/3 = X
4.666 = X
Thus, the Millers paddled 4,666 miles each day.
In turn, if the Millers went half their daily distance each day, but extend their trip to twice as many days, to determine how far would they travel, the following calculation must be performed:
4.666 / 2 x 6 = X
2.333 x 6 = 13.9999
Thus, the distance traveled by the Millers would have been the same.
Provide one reason for when you can use the distance formula.
Answer:
Draw a right triangle such that the distance between the two points is the hypotenuse. Hence, When you use the distance formula, you are calculating the length of the Hypotenuse of a right triangle.
(3b^3)^2 without exponents
Answer:
When (3b³)² is simplified, it equals 3b⁶
Step-by-step explanation:
3 × 2 = 6
The exponent is 6
Please help will give brainlist
Answer:
Sum
Step-by-step explanation:
Remember that the plus sign (+) always means to add.
Answer:
It would be the sum of a number and eight.
Chuck put new wallpaper in his bathroom. The pattern of the wallpaper
used 3 triangles to make a straight angle. The measures of the angles
are (9x - 72). (73x + ) and 11) What is the measure of the
obtuse angle? 7.3.5
ext
Tota
Answer:
x = 2.93
Step-by-step explanation:
The sum of angles of the triangle is 180degrees, hence;
9x - 72 + 73x + 11 = 180
82x - 61 = 180
82x = 180 + 61
82x = 241
Divide both sides by 82
82x/82 = 241/82
x = 2.93
Note that the functions might not be accurate but the same methos should be employed for any function given
Are the fractions 9/6 and 6/4 equivalent?
SOLUTION:
IF YOU GIVE ME AN ANSWER GARBAGE I WILL REPORT YOU
THANK, ;)
Answer: 9/6 and 6/4 are equivalent
Step-by-step explanation:
If you simply 9/6, you get 1 3/6
Simplify 6/4, you get 1 2/4
3/6 and 2/4 both equal 1/2, so 9/6 and 6/4 both equal 1 1/2. Therefore, they are equivalent.
Hope this helped ;D
Reduce the following differential equation to first-order and solve it.
Given that y₁(x) = x is a solution to the given second-order ODE, assume a second solution of the form
y₂(x) = y₁(x) v(x) = x v(x)
Take the first two derivatives and substitute this solution into the ODE:
y₂ = x v
y₂' = x v' + v
y₂'' = (x v'' + v' ) + v' = x v'' + 2 v'
→ (1 - x ²) y₂'' - 2 x y₂' + 2 y₂ = 0
→ (1 - x ²) (x v'' + 2 v' ) - 2 x (x v' + v) + 2 x v = 0
→ (x - x ³) v'' + (2 - 4 x ²) v' = 0
Next, reduce the order by substituting w(x) = v'(x) and w'(x) = v''(x) :
→ (x - x ³) w' + (2 - 4 x ²) w = 0
and now you have a linear equation in w. Solve for w(x) however you like; I'll just separate variables.
Write w'(x) = dw/dx, then separate variables as
(x - x ³) dw/dx + (2 - 4 x ²) w = 0
(x - x ³) dw/dx = (4x ² - 2) w
dw/w = (4x ² - 2) / (x - x ³) dx
Integrate both sides:
∫ dw/w = (4x ² - 2) / (x - x ³) dx
ln|w| = ∫ (4x ² - 2) / (x - x ³) dx
For the remaining integral, expand the integrand into partial fractions.
x - x ³ = x (1 - x ²) = x (1 - x) (1 + x)
→ (4x ² - 2) / (x - x ³) = a /x + b / (1 - x) + c / (1 + x)
→ 4x ² - 2 = a (1 - x ²) + b x (1 + x) + c x (1 - x)
→ 4x ² - 2 = (-a + b - c) x ² + (b + c) x + a
→ -a + b - c = 4, b + c = 0, a = -2
→ a = -2, b = 1, c = -1
→ (4x ² - 2) / (x - x ³) = -2/x + 1 / (1 - x) - 1 / (1 + x)
Then
ln|w| = ∫ (-2/x + 1 / (1 - x) - 1 / (1 + x)) dx
ln|w| = -2 ln|x| - ln|1 - x| - ln|1 + x| + C
ln|w| = -ln|x ² (1 - x ²)| + C
exp(ln|w|) = exp(-ln|x ² (1 - x ²)| + C )
w = C / (x ² (1 - x ²))
v' = C / (x ² (1 - x ²))
Solve for v(x) by integrating both sides, expanding the right side into partial fractions again:
x ² (1 - x ²) = x ² (1 - x) (1 + x)
→ 1 / (x ² (1 - x ²)) = a / x + b / x ² + c / (1 - x) + d / (1 + x)
→ 1 = a x (1 - x ²) + b (1 - x ²) + c x ² (1 + x) + d x ² (1 - x)
→ 1 = (-a + c - d) x ³ + (-b + c + d) x ² + a x + b
→ -a + c - d = 0, -b + c + d = 0, a = 0, b = 1
→ a = 0, b = 1, c = 1/2, d = 1/2
→ 1 / (x ² (1 - x ²)) = 1/x ² + 1/2 (1 / (1 - x) + 1 / (1 + x))
dv/dx = C (1/x ² + 1/2 (1 / (1 - x) + 1 / (1 + x)))
dv = C (1/x ² + 1/2 (1 / (1 - x) + 1 / (1 + x))) dx
Integrate both sides:
∫ dv = ∫ C (1 / x ² + 1/2 (1 / (1 - x) + 1 / (1 + x))) dx
v = C₁ (-1/x - 1/2 ln|1 - x| + 1/2 ln|1 + x|) + C₂
v = C₁ (1/2 ln|(1 + x) / (1 - x)| - 1/x) + C₂
Solve for y₂(x) by multiplying both sides by x :
y₂ = C₁ (1/2 x ln|(1 + x) / (1 - x)| - 1) + C₂ x
Now, y₁(x) = x, so we can omit the last term from the second solution, giving us
y₂(x) = C (1/2 x ln|(1 + x) / (1 - x)| - 1)
Solve the quadratic by taking square roots. Write your answer with no spaces as x=a,-a where a and -a are the values you found when solving.
3x² - 7 = 140
Answer:
x=7,−7
Step-by-step explanation:
In order to find the value of x in this quadratic equation we first need to make the equation equal 0 by getting rid of the 140. We do this by subtracting 140 on each side.
3x² - 7 = 140
3x² - 147 = 0
Now we solve as a regular quadratic formula
x= [tex]x = \frac{-(0) +- \sqrt{0^{2} - 4(3)(-147) } }{2(3)}[/tex]
[tex]x = \frac{0 +- \sqrt{1764} }{6}[/tex]
x=7,−7
1. The width of a rectangle is 6 feet and the diagonal length of the rectangle is 19 feet. Which
measurement is closest to the length of this rectangle in feet?
4x² - 12x + 8
A.Not factorable
B. factorable
Answer:
It is factorizable
Step-by-step explanation:
4(x² - 3x + 2) is the factoried version :)
For thousands of years, gold has been considered one of the Earth's most precious metals. One hundred percent pure gold is 24-karat gold, which is
too soft to be made into jewelry. Most gold jewelry is 14-karat gold, approximately 58% gold. If 18-karat gold is 75% gold and 12-karat gold is 50% gold,
how much of each should be used to make a 14-karat gold bracelet weighing 300 grams?
How many grams of 18-karat gold needs to be used to make the bracelet?
3. A telephone calling center performs two types of solicitations: (1) donations and (2) sales. The center wants to determine how much time on average a caller spends on each type of solicitation. The issue is complicated by the fact that some calls get busy signals, some go unanswered, and some last for less than one minute, which is interpreted to mean that the recipient is not interested or
Answer:
hang ups the receiver
Step-by-step explanation:
In this case, there is a difficulty for the call center to determine the average time that each caller spends on each type of request, since there is also the possibility that the recipient will not be interested in the call or hang up when receiving such a call. Therefore, in order to calculate this average in a more real way, the company must statistically monitor this data in relation to each hour of work and how many situations occurred in that hour, how many calls received were answered, how many received a busy signal, how many are not answered and how many calls last less than a minute if the recipient is not interested or hangs up.
Through this data, the company is able to monitor the calls and define telephone service strategies that can retain the customer more if the calls in less than a minute exceed conventional calls.
what is the total area of the shape below
Answer:
480 ft
Step-by-step explanation:
1. Give three examples of real-world situations where a simulation could prove useful. Describe each situation, as well as the type of information you'd expect the simulation to yield.
2. Approximately 52% of Uls, households own at least one dog. Using the random number table provided below, explain how you would conduct a simulation to estimate the percentage of dog owners among U.S. households. Assume that you will look at 10 households at a time.
95911 55241 74053 41002 18096 23370 19411 15586 98282 81806 73024 33198 03846 22199 73812 59593 05126 99863
3. Assuming that you have 50 subjects that you want to randomly assign to two different groups of 25. explain how you would use a random number table to do it.
Answer:
1. the growth of a plant given by the amount of food
Step-by-step explanation: