The square root of 1000 is between

A.498 and 502

B.98 and 102

C.48 and 52

D.28 and 32

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]

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

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.

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

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.

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.

Answer:

where's the map

Step-by-step explanation:

You would need 3/4 cups of water.

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.

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

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

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!

Answer:

What I think, Is that it... It might be, It can take 3 seconds

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

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.

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

(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

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

you should just have to times the yards by three like the second one is 12

Answer:

217

Step-by-step explanation:

155 + 40% = 217

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

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

10/4  if its right also have a good my dude

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]

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

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

Answer:

11

Step-by-step explanation:

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]