Answer:
D
the square root of 1000 is 31.6227766017
Step-by-step explanation:
BRANIEST
Two large containers A and B of the same size are filled with different fluids. The fluids in containers A and B are maintained at 0° C and 100° C, respectively. A small metal bar, whose initial temperature is 100° C, is lowered into container A. After 1 minute the temperature of the bar is 90° C. After 2 minutes (since being lowered into container A) the bar is removed and instantly transferred into the other container. After 1 minute in container B the temperature of the bar rises 10°. How long, measured from the start of the entire process, will it take the bar to reach 99.7° C? (Round your answer to two decimal places. Assume the final temperature being asked for is reached while the bar is container B.) t = min
Answer:
What I think, Is that it... It might be, It can take 3 seconds
The Empire State Building weights about 7.3 x 10 ^8
Answer:
730000000 lbs?
Step-by-step explanation:
Answer:
730000000
Step-by-step explanation:
7.3 x 10^8
Do exponents first. 10^ 8 is the same as 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10, which equals 100000000 x 7.3 = 730000000
Whats 27.16 - 3.1 x 1.4 evaluated?
PLEASE HELP
Answer:
22.82
Step-by-step explanation:
can u plz mark me as brainliest??
Answer:
22.82
Step-by-step explanation:
3.1*1.4 = 4.34
27.16-4.34 = 22.82
[edited, I messed up the order of operations before, sorry]
A sinking fund is established to discharge a debt of $30,000 in 5 years. If deposits are made at the end of each 6-month period and interest is paid at the rate of 4%, compounded semiannually, what is the amount of each deposit?
Answer:
what you have to do is do 30000 * 5 and then do 6 divided by the number and then four times that number and whatever the answer you get be your answer hope this help
I need help nowwwwww !!!!!????
you should just have to times the yards by three like the second one is 12
-4 (2x + 13) + 3x = 80
How do you solve this out and get the answer
Answer:
-132/5
Step-by-step explanation:
-4(2x+13) + 3x = 80
-8x - 52 + 3x = 80
-5x = 80+52
5x = -132
x = -132/5
Feel free to mark this as brainliest! :D
Calculus please help me
(1) f(x) = (1 - x³) / (x - 1)
(a) The domain is the set of values that this function can take on. If x = 1, the denominator becomes 0 and the function is undefined. Any other value of x is okay, though, since for x ≠ 1, we have
f(x) = (1 - x³) / (x - 1) = - (1 - x³) / (1 - x) = -(x² + x + 1)
which is defined for all x. This also tells us that the plot of f(x) is a parabola with a hole at x = 1. So, the domain is the interval (-∞, 1) ∪ (1, ∞).
(b) The range is the set of values that the function actually does take on. Taking the simplified version of f(x), we can complete the square to write
-(x² + x + 1) = -(x² + x + 1/4 - 1/4) - 1 = -(x + 1/2)² - 3/4
which is represented by a parabola that opens downward, with a maximum value of -3/4. So the range is the interval (-∞, -3/4).
(c) Judging by the plot of f, the limits at both negative and positive infinity are -∞.
(d) Same answer as part (a).
(2) f(x) = x³ - x
(a) The derivative of f at x = 3, and hence the slope of the tangent line to this point, is
[tex]f'(3)=\displaystyle\lim_{h\to0}\frac{f(3+h)-f(3)}h[/tex]
[tex]f'(3)\displaystyle=\lim_{h\to0}\frac{((3+h)^3-(3+h))-24}h[/tex]
[tex]f'(3)=\displaystyle\lim_{h\to0}\frac{(27+27h+9h^2+h^3)-(3+h)-24}h[/tex]
[tex]f'(3)=\displaystyle\lim_{h\to0}\frac{26h+9h^2+h^3}h[/tex]
[tex]f'(3)=\displaystyle\lim_{h\to0}(26+9h+h^2)=\boxed{26}[/tex]
(b) The tangent line at x = 3 has equation
y - f (3) = f ' (3) (x - 3)
y - 24 = 26 (x - 3)
y = 26 x - 54
We also want to find any other tangent lines parallel to this one, which requires finding all x for which f '(x) = 26. We could use the same limit definition as in part (a), but to save time, we exploit the power rule to get
f '(x) = 3 x² - 1
Then solve for when this is equal to 26:
3 x² - 1 = 26 ==> x² = 9 ==> x = ±3
The other tangent line occurs at x = -3, for which we have f (-3) = -24, and so the equation for the tangent is
y - f (-3) = 26 (x - (-3))
y + 24 = 26 (x + 3)
y = 26 x + 54
In a certain state's lottery, 45 balls numbered 1 through 45 are placed in a machine and eight of them are drawn at random. If the eight numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order in which the numbers are drawn does not matter.
Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write your answer as a reduced fraction.
P
(win) =
A single lottery ticket costs $2. Compute the Expected Value, to the state, if 10,000 lottery tickets are sold. Round your answer to the nearest dollar.
Answer: $
A single lottery ticket costs $2. Compute the Expected Value, to you, if you purchase 10,000 lottery tickets. Round your answer to the nearest dollar.
Answer: $
Step-by-step explanation:
The order of the numbers doesn't matter, so we'll use combinations instead of permutations. The number of combinations is:
₄₅C₈ = 215,553,195
So the probability of a ticket having the winning combination is 1 / 215,553,195.
The expected value to the state is:
E(X) = 10,000 (1) ($2) + 10,000 (1 / 215,553,195) (-$1,000,000)
E(X) = $19954
The expected value to you is:
E(X) = 10,000 (1) (-$2) + 10,000 (1 / 215,553,195) ($1,000,000)
E(X) = -$19954
In an attempt to improve brand recognition, the marketing department of AC Sports is
creating conical paper water cups with their brand printed around the surface of the
cup. The cups will be sent to athletic departments for free. About how much space do
the graphic artists working on the design have to work with if the cup will have a
diameter of 2.5 inches and a height of 3.5 inches?
Answer:
about 37.31 inches of space
Step-by-step explanation:
In this case, you would need to find the area of a cylinder with these dimensions.
Formula: 2πrh+2πr²
The r is the radius, and since the diameter in this situation would be 2.5, the radius would be 1.25.
2π(1.25)(3.5)+2π(1.25)²
2π4.375+2π1.5625
8.75π+3.125π
37.3064128
about 37.31 inches of space
2
Divide: 4:- =
5
HELP FAST!!!!!!!!!
10/4 if its right also have a good my dude
A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased by 40%.How many bacteria are there now?
Answer:
217
Step-by-step explanation:
155 + 40% = 217
State the domain of the following mapping
Answer:
where's the map
Step-by-step explanation:
Simplify 2k^8×3k^3
Answer:
[tex]6k^{11}[/tex]
I hope this helps!
Answer:
6 k^ 11
Step-by-step explanation:
2k^8×3k^3
2*3 * k^8 * k^3
6 * k^8 * k^3
When multiplying exponents with the same base, we can add the exponents
6 k^( 8+3)
6 k^ 11
Rosa believes she can use a division expression to find the cost per pound of ground beef when 2/3 pound sells for $4. Which statement best explains why Rosa is correct or incorrect? A. Rosa is correct in using a division expression because the term ""per"" implies the quotient of the quantities before and after that word. B. Rosa is correct in using a division expression because the cost per pound should be less than $4. C. Rosa is incorrect in using a division expression because ""cost per pound"" refers to the product of the price and weight. D. Rosa is incorrect in using a division expression because the cost per pound must be an integer.
Answer: A. Rosa is correct in using a division expression because the term ""per"" implies the quotient of the quantities before and after that word.
Step-by-step explanation:
The term ; Cost per pound can be interpreted mathematically to mean;
Cost / pound ; where per means division. In the context above ;
cost per pound = cost of 1 pound of an item ;
(Stated Cost of the item ÷ pound of the item at the stated cost)
For the question above ;
2/3 pounds of ground beef cost $4;
Cost per pound = cost of 1 pound of ground beef ;
= $4 ÷ (2/3)
= $6
Hence, 1 pound of ground beef cost $6
Answer:
so the answer is a. 1/25 hope this helps can my reward be brainlest???
Step-by-step explanation: What is the result of 5 divided by one-fifth?
5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath.
StartFraction 1 Over 25 EndFraction
One-fifth
1
25
Find the slope of the line
Number 10 plzz???????
ok so if someone needs 2 1/4 cups of water for 1 cup of rice then if they use 1/3 cup of rice how much water would they need
You would need 3/4 cups of water.
Find all relative extrema and classify each as a maximum or minimum. Use the second-derivative test where possible. f(x) = 125x 3 − 15x + 8
Answer:
The following classification is found:
[tex](0.2, 6)[/tex] - Absolute minimum
[tex](-0.2, 10)[/tex] - Absolute maximum
Step-by-step explanation:
Let be [tex]f(x) = 125\cdot x^{3}-15\cdot x + 8[/tex], we need to find first and second derivatives of this expression at first:
First derivative
[tex]f'(x) = 375\cdot x^{2}-15[/tex] (Eq. 1)
Second derivative
[tex]f''(x) = 750\cdot x[/tex] (Eq. 2)
Critical points are points that equals first derivative to zero and that may be maxima or minima. That is:
[tex]375\cdot x^{2} -15 = 0[/tex]
[tex]x = \pm \sqrt{\frac{15}{375} }[/tex]
Which leads to the following critical points:
[tex]x_{1}\approx 0.2[/tex] and [tex]x_{2} \approx -0.2[/tex]
Now we evaluate each result in second derivative expression:
[tex]f''(x_{1}) = 750\cdot (0.2)[/tex]
[tex]f''(x_{1})=150[/tex] (Absolute minimum)
[tex]f''(x_{2})= 750\cdot (-0.2)[/tex]
[tex]f''(x_{2}) = -150[/tex] (Absolute maximum)
Lastly we evaluate the function at each critical point:
[tex]f(x_{1})= 125\cdot (0.2)^{3}-15\cdot (0.2)+8[/tex]
[tex]f(x_{1})= 6[/tex]
[tex]f(x_{2})= 125\cdot (-0.2)^{3}-15\cdot (-0.2)+8[/tex]
[tex]f(x_{2}) = 10[/tex]
And the following classification is found:
[tex](0.2, 6)[/tex] - Absolute minimum
[tex](-0.2, 10)[/tex] - Absolute maximum
The growth of a sample of bacteria can be modeled by the function b(t) =100(1.06)^t where b is the number of bacteria and t is the time in hours. What is the number of total bacteria after 3 hours? Round to the nearest whole number.
Answer:
There are 119 bacteria after 3 hours.
Step-by-step explanation:
Let be [tex]b(t) = 100\cdot 1.06^{t}[/tex], where [tex]t[/tex] is the time, measured in hours, and [tex]b(t)[/tex] is the number of total bacteria, dimensionless. The number of total bacteria after 3 hours is found after evaluating the function at given function:
[tex]b (3) = 100\cdot 1.06^{3}[/tex]
[tex]b(3) = 119.102[/tex]
We rounded to the nearest preceeding whole number, since number of bacteria represents a discrete set. There are 119 bacteria after 3 hours.
Everglades National Park is 225 mi long. What scale is needed to draw a map of Everglades National Park that is 10 in. long?
A. 1 in. = 22.5 mi
B. 10 in. = 225 mi
C. 1 in. = 0.04 mi
D. 10 in. = 22.5 mi
Answer:
A. 1 in. = 22.5 mi
Step-by-step explanation:
Since 22.5 x 10 = 225, we can conclude that this will fit the scale needed. B. is incorrect because it is simply illogical in context with a scale and the question. C. is incorrect since 10 x 0.04 is 0.4, which does not equal 10. D. is incorrect since we need the scale to add up to equal 225 mi, not 22.5.
Hope this helps!
Simplify (-4/5)divided by (3/-2). -8/15 -6/5 6/5 8/15
Answer:
8/15
Step-by-step explanation:
-4/5 ÷ -3/2
Copy dot flip
-4/5 * -2/3
Multiply the numerators
8
Multiply the denominators
15
Put the numerator over the denominator
8/15
Answer: 8/15
Step-by-step explanation: (-4/5)divided by (3/-2) is 8/15.
The area A of a triangle with base b and height h is given by A = = bh. Find the area when b = 18 m (meters) and h = 30 m.
The area is m?
Answer:
[tex]Area = 270m^2[/tex]
Step-by-step explanation:
Given
[tex]A = \frac{1}{2}bh[/tex]
[tex]b = 18m[/tex]
[tex]h = 30m[/tex]
Required
Solve for A
Simply substitute 18 for b and 30 for h
[tex]A = \frac{1}{2}bh[/tex]
[tex]A = \frac{1}{2} * 18 * 30[/tex]
[tex]A = 270[/tex]
Hence:
The area is
[tex]Area = 270m^2[/tex]
the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 as does living plant material. Determine when the wood was cut
Answer:
The wood was cut approximately 8679 years ago.
Step-by-step explanation:
At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:
[tex]\frac{dm}{dt} = -\frac{m}{\tau}[/tex] (Eq. 1)
Where:
[tex]\frac{dm}{dt}[/tex] - First derivative of mass in time, measured in miligrams per year.
[tex]\tau[/tex] - Time constant, measured in years.
[tex]m[/tex] - Mass of the radioactive isotope, measured in miligrams.
Now we obtain the solution of this differential equation:
[tex]\int {\frac{dm}{m} } = -\frac{1}{\tau}\int dt[/tex]
[tex]\ln m = -\frac{1}{\tau} + C[/tex]
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (Eq. 2)
Where:
[tex]m_{o}[/tex] - Initial mass of isotope, measured in miligrams.
[tex]t[/tex] - Time, measured in years.
And time is cleared within the equation:
[tex]t = -\tau \cdot \ln \left[\frac{m(t)}{m_{o}} \right][/tex]
Then, time constant can be found as a function of half-life:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (Eq. 3)
If we know that [tex]t_{1/2} = 5730\,yr[/tex] and [tex]\frac{m(t)}{m_{o}} = 0.35[/tex], then:
[tex]\tau = \frac{5730\,yr}{\ln 2}[/tex]
[tex]\tau \approx 8266.643\,yr[/tex]
[tex]t = -(8266.643\,yr)\cdot \ln 0.35[/tex]
[tex]t \approx 8678.505\,yr[/tex]
The wood was cut approximately 8679 years ago.
Let 2x - 1 represents the time Anna and Tamara travel the first two days
and 3x - 4 represents the time they travel the last two days.
Write an algebraic expression that represents the total time
Anna and Tamara travel over the four days.
Answer:
5x-5
Step-by-step explanation:
add the expression and simplify 2x - 1 + 3 x -4 add 2x and 3x
5x-1-4 subtract 4 from -1
equals 5x-5
Which expression is the coefficient of the n term -1
Answer:
C. -2n² - n + 5
Step-by-step explanation:
In expression C, the coefficient of the n term is -1;
The expression in choice C is given as:
-2n² - n + 5
The coefficient is the number before a variable;
For n², the coefficient is -2
for n, the coefficient is -1
Write an equation in the line in slope intercept form
Answer:
Y=2x-1
Step-by-step explanation:
In order to find the slope, its rise over run. So you would move from (0,-1) to the next point it intercepts, (1,1) and find it from there
As for the Y-Intercept, it would just be wherever the line connects with the Y axis, which happens to be (0,-1) or Negative 1.
Resuelve los problemas de una bodega que exporta tomates al extranjero
Answer:
1. 34.42 Toneladas
2. 28.640 toneladas
3. 38 toneladas
4.[tex]\frac{15}{10}[/tex] o [tex]1\frac{5}{10}[/tex]
5.[tex]\frac{16}{6}[/tex] o [tex]2\frac{4}{6}[/tex]
6.[tex]\frac{8}{4}[/tex] o [tex]2[/tex]
1.1 Solucioné el problema convirtiendo el .25 en fracción.
2.1 Conviertes el denominador en el mismo buscando el minimo comun multiplo
3.1 0.099
[tex]\frac{1}{4}[/tex]
[tex]\frac{1}{3}[/tex]
[tex]\frac{2}{3}[/tex]
0.7
0.75
1.1
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Acuerdate que para solucionar las fracciones mixtas solo tienes que dividir el denominador al nominador, por ejemplo en si tienes [tex]\frac{10}{3}[/tex] entonces el 3 cabe 3 veces en el 10, y sobra 1, entonces quedamos que en mixta la fracción sería [tex]3\frac{1}{3}[/tex]
Entonces una vez que recordamos eso, podemos resolver los problemas de fracciones sin ningún problema vamos a resolver la número 4:
[tex]\frac{8}{10} +\frac{7}{10}[/tex]
Como el denominador es igual, sólo sumamos el nominador:
[tex]\frac{8+7}{10}[/tex]
[tex]\frac{15}{10}[/tex]
Cómo el 10 cabe 1 vez en el 15, tenemos un entero y sobran 5:
[tex]1\frac{5}{10}[/tex]
18 feet above ground level and 7 feet below ground level
Answer:
11
Step-by-step explanation:
A database system assigns a 32-character ID to each record, where each character is either a number from 0 to 9 or a letter from A to F. Assume that each number or letter is equally likely. Find the probability that at least 16 characters in the ID are numbers. Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.
Answer:
0.948
Step-by-step explanation:
Given that:
Number of character ID = 32
Numbers = 0 - 9 = 10
Alphabets = A - F = 6
Likelihood of each number or alphabet is equal
Probability that atleast 16 characters in the ID are numbers
Probability of success (p) = required outcome / Total possible outcomes
p = 10/(10 + 6) = 5/8
P(at least 16 numbers), similar to 1 - p(at most 15)
Using the specified calculator :
Binomcdf(number of trials, p, 15) = 0.0520
1 - 0.0520 = 0.948
What is the measure of an exterior angle of a regular 14-sided polygon? Enter your answer as a decimal in the box. Round to the nearest tenth of a degree.
Answer:
21.715 degrees.
Step-by-step explanation:
There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. So the exterior angle of each is 180-154.285 = 21.715 degrees.