Answer:
It's 0
Step-by-step explanation:
0 is a greater number than the answer for 2 times -6, which is -12
if a coin is flipped 4 times what is the probability of it landing on heads 3 times and tails 1
Answer:
(`1/4)^4
Step-by-step explanation:
Since the probability of landing on a head is theoretically the same as that of landing on tails, and since the four flips are entirely independent of one another, the desired probability is
(1/2)^4 or 1/16
Consider a tank in the shape of an inverted right circular cone that is leaking water. The dimensions of the conical tank are a height of 12 ft and a radius of 10 ft. How fast does the depth of the water change when the water is 10 ft high if the cone leaks at a rate of 8 cubic feet per minute?
Answer:
[tex]\frac{dh}{dt} = \frac{216}{1875\pi}[/tex]
Step-by-step explanation:
Given
Represent radius with r and height with h
[tex]h = 12ft[/tex]
[tex]r = 10ft[/tex]
[tex]Rate = \frac{8ft^3}{min}[/tex] when [tex]h = 10ft[/tex]
Express radius in terms of height
[tex]\frac{r}{h} = \frac{10}{12}[/tex]
[tex]\frac{r}{h} = \frac{5}{6}[/tex]
[tex]r = \frac{5}{6}h[/tex]
First, we need to determine the volume of the cone in terms of height.
[tex]Volume = \frac{1}{3}\pi r^2h[/tex]
Substitute [tex]r = \frac{5}{6}h[/tex]
[tex]V = \frac{1}{3} * \pi * (\frac{5}{6}h)^2 * h[/tex]
[tex]V = \frac{1}{3} * \pi * \frac{25}{36}h^2 * h[/tex]
[tex]V = \frac{1}{3} * \pi * \frac{25}{36}h^3[/tex]
[tex]V = \frac{25}{108} \pi h^3[/tex]
Differentiate both sides w.r.t time (t)
[tex]\frac{dV}{dt} = 3 * \frac{25}{108} \pi h^{3-1} * \frac{dh}{dt}[/tex]
[tex]\frac{dV}{dt} = \frac{75}{108} \pi h^{2} \frac{dh}{dt}[/tex]
Solve for [tex]\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt} = \frac{dv}{dt} * \frac{108}{75\pi h^2}[/tex]
At this point, [tex]h = 10[/tex] and [tex]\frac{dv}{dt} = \frac{8ft^3}{min}[/tex]
So, we have:
[tex]\frac{dh}{dt} = 8 * \frac{108}{75\pi 10^2}[/tex]
[tex]\frac{dh}{dt} = \frac{8 * 108}{75\pi 10^2}[/tex]
[tex]\frac{dh}{dt} = \frac{864}{7500\pi}[/tex]
[tex]\frac{dh}{dt} = \frac{216}{1875\pi}[/tex]
Hence:
The rate is [tex]\frac{216}{1875\pi} ft/min[/tex]
Using implicit differentiation, it is found that the depth of water changes at a rate of -0.0764 feet per minute.
The volume of a cone of radius r and height h is given by:
[tex]V = \frac{\pi r^2h}{3}[/tex]
Applying implicit differentiation, we can find it's rate of change, thus:
[tex]\frac{dV}{dt} = \frac{2\pi rh}{3}\frac{dr}{dt} + \frac{\pi r^2}{3}\frac{dh}{dt}[/tex]
In this problem:
Height of 12 ft and radius of 10 ft, thus [tex]h = 12, r = 10[/tex].Radius does not change, thus [tex]\frac{dr}{dt} = 0[/tex].Water leaks at a rate of 8 cubic feet per minute, thus [tex]\frac{dV}{dt} = -8[/tex]Then:
[tex]\frac{dV}{dt} = \frac{2\pi rh}{3}\frac{dr}{dt} + \frac{\pi r^2}{3}\frac{dh}{dt}[/tex]
[tex]-8 = \frac{\pi (10)^2}{3}\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt} = -\frac{24}{100\pi}[/tex]
[tex]\frac{dh}{dt} = -0.0764[/tex]
The depth of water changes at a rate of -0.0764 feet per minute.
A similar problem is given at https://brainly.com/question/9543179
For what value of k will the vector (1, -2, k) in be a linear combination of the vectors (3, 0, -2) and (2, -1, -5) ?
Audrey deposits $27 in her account. Then she makes two withdraws one for $15 and one for 12. What is the total change to the balance of Audrey's account? Explain
What is the solution to this equation? −5n+5=−15 Enter your answer in the box. n =
Answer:
4.
Step-by-step explanation:
−5n+5=−15
Step 1: Subtract 5 from both sides.
−5n+5−5=−15−5
−5n=−20
Step 2: Divide both sides by -5.
−5n
−5
=
−20
−5
n=4
Can I have Brainlliest? Hope it helps.
Answer:
n=4
Step-by-step explanation:
can someone help me find angle 3?
Answer:
45
Step-by-step explanation:
corresponding angles are congruent
3 and 7 are corresponding
-8-x=x-4x < what is the answer Please show work. 37 POINTS
Answer:
-8-x=x-4x
-8-x=-3x
-8=-2x
4=x
Answer:
free robux!?!!?
Step-by-step explanation:
please i need help
Answer:
x+25. the first part of y is 160 and then -160
Step-by-step explanation:
the top x part is getting 25+ biggger
the top y part is getting 100+ smaller
15,420 divided by 20 =
Answer:
771
Step-by-step explanation:
If the sum of three consecutive numbers is 738, what is the middle one?
Answer:
The logical answer is 246
Step-by-step explanation: So, (X+1)+ (X+2) + (X+3)=738 then 3x+3=738 so x=245. 245 is the first number so then the answer is 245+246+247=738. And that leads to the conclusion that the middle number is 246.
How much candy will each person get if 5 people share 6 1/2 pounds of Swedish fish.
Answer:
1 3/10 pounds of candy. Or around 1 pound
Step-by-step explanation:
6 1/2= 6.5
6.5/5=1.3
1.3 as a fraction is 1 3/10
se considera G centrul cercului greutate al triunghiului abc, a prim, b prim,c prim sunt mij lat bc,ac, ab. daca ga' = 5CM
Answer:
consider G the center of the circle weight of the triangle abc, a prim, b prim, c prim are medium lat bc, ac, ab. if ga '= 5CM
Step-by-step explanation:
Of the following statements, which are equivalent?
I. 0
II. x(x−3)<0
III. −5
(A) I and II
(B) I and III
(C) II and III
(D) I, II, and III
(E) none of the above
Answer:
i think its C
Step-by-step explanation:
sorry if i get it wrong
someone help PLS ASAP! in the figure above, l is a line. if y=96, what is the value of x?
a. 28
b. 30
c. 42
d. 84
Answer:
x=28
So a
Step-by-step explanation:
2x+96+x=180 add like terms (2x+x)
3x+96=180 subtract 96 from both sides (3x+96-96=180-96)
3x=84 divide both sides by 3 (3x/3=84/3)
x=28
The mayor of a town saw an article that claimed the national unemployment rate is 8%. They wondered if this held true in their town, so they took a sample of 200 residents to test H_0 : p = 0.08 versus H_a : p != 0.08, where p is the proportion of residents in the town that are unemployed. The sample included 22 residents who were unemployed.Identify the correct test statistic for this significance test to one decimal place.
Answer:
Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex] = 1.6
we reject the Null hypothesis
Step-by-step explanation:
The correct test statistic
Assume :
Null Hypothesis : H_0 : p = 0.08
Alternative hypothesis : H_a : p ≠ 0.08
p = proportion of residents that are unemployed
x = unemployed residents = 22
n = sample size = 200
To get the sample of the population that is unemployed we use this equation
[tex]p = \frac{X}{n}[/tex] = 22 / 200 = 0.11
now we apply the test of of significance of single proportion
= Z = [tex]\frac{p - P}{\sqrt{pq/n} }[/tex]
therefore Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex] = 1.6
Therefore we reject the Null hypothesis
Testing the hypothesis, it is found that the test statistic used is z = 1.6.
At the null hypothesis, it is tested if the proportion is of 8%, that is:
[tex]H_0: p = 0.08[/tex]
At the alternative hypothesis, it is tested if the proportion is different of 8%, that is:
[tex]H_1: p \neq 0.08[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.08, n = 200, \overline{p} = \frac{22}{200} = 0.11[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.11 - 0.08}{\sqrt{\frac{0.08(0.92)}{200}}}[/tex]
[tex]z = 1.6[/tex]
A similar problem is given at https://brainly.com/question/24166849
Can someone help please
Sum of triangle: 180
So we know that:
7x + 3x + 8 + x + 7 = 180
Combine like terms:
11x + 15 = 180
11x = 165
x = 15
Plug in for x in order to find the angles.
You should be able to solve from here!
Answer:
m∠I = 22
m∠J = 53
m∠K = 105
Step-by-step explanation:
m∠I = (x + 7)
m∠J = (3x + 8)
m∠K = (7x)
m∠I + m∠J + m∠K = 180°
(x + 7) + (3x + 8) + (7x) = 180
x + 7 + 3x + 8 + 7x = 180
11x + 15 = 180
11x = 165
x = 15
m∠I = 15 + 7 = 22
m∠J = 3(15) + 8 = 53
m∠K = 7(15) = 105
A candy store uses 77.2 grams of sugar each hour. How many grams of sugar will the store use in 10 hours?
Answer:
The store will use 772 grams of sugar in 10 hours.
Taking into account the rule of three, a candy store uses 772 grams of sugar in 10 hours.
Rule of threeThe rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three must be applied.
To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:
a ⇒ b
c ⇒ x
So: [tex]x=\frac{cxb}{a}[/tex]
Grams of sugarThe rule of three can be applied as follow: if in 1 hour a candy store uses 77.2 grams of sugar, in 10 hour how many mass is used?
1 hour ⇒ 77.2 grams
10 hours ⇒ x
So: [tex]x=\frac{10 hoursx77.2 grams}{1 hour}[/tex]
Solving:
x= 772 grams
In summary, a candy store uses 772 grams of sugar in 10 hours.
Learn more with this example:
brainly.com/question/12482948
Alison is preparing for a math contest. Each day, she works on multiplication problems for 10 minutes and division problems for 30 minutes.
How many minutes does Alison practice multiplication and division problems in 10 days?
Alison practices multiplication and division problems for blank minutes in 10 days. the answer is 400
Answer:
it's 400-
Step-by-step explanation:
total minutes a day is 40, multiplied by 10 days
3. What is the set of ordered pairs such that no twvo
ordered pairs have the same x-value but different y-
values?
A. Function
C. Relation
B. Theorem
D. None of these
Answer:
A
Step-by-step explanation:
A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
What is the value of -8(17-12)/-2(8-(-2))
Answer:
it's 2 got it right on edg
Step-by-step explanation:
The solution of which inequality is shown by the number line?
-7 -6
-5
-4
-3
-2
Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in:
Answer:
Money = (1500)e^(0.06t)
t = num of months
Money = Money at end of that tiem period
Round 47.58051 to the nearest thousandths
Answer:
47.581
Step-by-step explanation:
can't explain I just know how to do it
HELP
The price of a necklace was increased by 10% to £121.
What was the price before the increase?
Answer:
108.90
Step-by-step explanation:
To find its price before the increase you say:
10% of 121 then the answer you subtract it from 121:
10 / 100 * 121 = 12.10
Then subtract 12.10 from 121
121-12.10= 108.90
So the price before the increase was 108.90
HOPE IT HELPED
Multipy (2x + 4 (x - 4)
Zzz
Answer:
6x−16
Step-by-step explanation:
A pole is 35 3/4 feet long. If 3/8 of the pole is underground,
then how many feet of the pole are above ground?
Answer: 22.34375
Step-by-step explanation:
35 and 3/4 is equal to 35.75
Therefore,
35.75 x (3/8) is equal to 13.40625 underground.
So 35.75 - 13.40625 = 22.34375 feet above ground
At 2 P.M., the total snowfall is 23 inches. At 7 P.M., the total snowfall is 45 inches. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.
Answer:
13 3/5 inches per hour
Step-by-step explanation:
If at 2 there is 23 inches and then at 7 there is 45, it has been 5 hours. Taking the mean (average) is just taking 45+23 and dividing it by 5. That gives you 68/5 which simplified to a mixed number is 13 3/5. So, there was a mean of 13 3/5 inches of snowfall hourly. Hope that helps!
1) Convince Me!
Suppose each section of the
theater has only 45 seats.
How many sections would be
needed to seat 428 people?
Find the distance between the two point
(-6,6) and (3,-6)
Find all values of k the value of the fraction 11k−15/3 is greater than the value of the fraction 5−2k/4 .
Answer:
k>3/2
Step-by-step explanation:
To solve this, you need to do fraction cross-multiplying.
So, If a/b=c/d, then a*d=c*b
After you cross-multiply, you get this: (11k-15)*4>3(5-2k)
If you simplify 3(5-2k), you get 15-6k
Then, simplify the next side as well
The full simplified expression should be: 44k-60>15-6k
If you add 60 to both sides, you get 44k>-6k+75
Then add 6k to both sides 50k>75
Then all you have to do is divide both sides by 50 and you get:
K>3/2 OR k>1.5