How long will it take for 750 mg of a sample of radium-225, which has a half-life of about 15 days, to decay to 68 mg?

Answer:

No, Unit rate has nothing to do with how much it has.

Step-by-step explanation:

Answer:

6h - 39 or 3(2h - 13)

Step-by-step explanation:

Distribute the terms in the parentheses.

Combine like terms

8 (h - 4) - h - (h + 7)

8h - 32 - h - h - 7

6h - 39

3 (2h - 13)

Answer:

your answer would be B I hope it's right

Answer:

B)

Step-by-step explanation:

I hope this helps:)

The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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Answer:

No solution

Step-by-step explanation:

The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

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The shape of Banana is taking the shape of a parabola.

a plane curve created when a point moves so that the distance between it and a fixed point or line is equal.

y2=4ax, where is the distance from the parabola's vertex to focus, is the standard equation for a normal parabola.

Several examples of parabolas in real life

The wheel stance in yoga resembles a parabola.

Banana's shape is beginning to resemble a parabola.

A parabola is emerging from the Rainbow.

Antennas with a parabolic dish are resembling a parabola.

Mirror's concave surface.

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

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The value of f(4) is 28.

it can be found using the fundamental theorem of calculus.

The fundamental theorem of calculus states that if a function f is continuous on an interval and its derivative f' exists on that interval, then the definite integral of f' over the interval is equal to the difference in the values of the original function at the endpoints of the interval.

In this case, we are given that f '(x) is continuous, and that the definite integral of f '(x) over the interval [3, 4] is equal to 18. Therefore, using the fundamental theorem of calculus, we have that f(4) - f(3) = 18, and since f(3) = 10, we can solve for f(4) to get f(4) = 10 + 18 = 28.

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Complete question:

If f(3) = 10, f ' is continuous, and   \(\int\limits^4_3\) f '(x) dx = 18, what is the value of f(4)?

Answer:

200N

Step-by-step explanation:

Torque is defined as the turning effect of force about a point. It is expressed as;

Torque = Force × radius

T = Fr

Given parameters

Torque = 100Nm

Radius = 0.5metres

Required

Magnitude of the force F

From the formula T = Fr

F = T/r

F = 100Nm/0.5m

F = 100/(1/2)

F = 100 × 2/1

F = 200Newtons

Hence the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the bolt is 200N

9,2.5,-4,-10.5,-17

Let's find the difference between two consecutive terms

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.

Answer:

The common difference between 9, 2.5, –4, –10.5, –17, ...

Is –6.5

Step-by-step explanation:

Because,

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.

In order to construct frames for each of the platonic solids, Kepler has to construct nine wooden edges for the cube. These edges will then be pieced together to make the frames.

He created models of each of the platonic solids since it is shown in the data that they are connected to the planets' orbits. Kepler fashioned wooden edges to form each of the platonic solids into a frame.

Two of the six planets identified at the time were regarded to be platonic solid cubes. The three-dimensional shape of a cube has 12 edges and 8 corners.

Thus, there are 4 x 2 + 1 edges.

= 9

Kepler must create nine wooden edges for the cube in order to piece together wooden edges to form frames for each of the platonic solids.

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Answer:

6

Step-by-step explanation:

6

Answer:

279.06

Step-by-step explanation:

506.433 minutes elapse before the minute hand next points in the same direction as the hour hand.

Conversion of hours to minute:

As we all know, an hour is made up of sixty minutes, therefore

1 hour=60minutes

Thus, all you need to do to convert time from hours to minutes is to multiply the time in hours by 60 to get the time in minutes.

If you want to convert minute to hours divide the given time in minutes by 60.

The hands line up 11 times every 12 hours, or roughly every 1:05.5 hours; the precise number is 1:05.4545 repeating.

The repetition time is 8:43.6363. When expressed in seconds, the result is 8:43:38.1818 repeating, or 8:43:38 and 2/11.

This is 261 and \(\frac{9}{11}\) degrees, or 261.818 repeated.

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Answer: the real answer for this will be p=3/2 and s=5

Step-by-step explanation: here

2p=3

2p/2=3b/2 divide both sides by 2

P=3/2

3/2 for p in s=5

S=5

S=5

Answer P=3/2 and s= 5

Got it

Hey there!

“Evaluate 2ps for p=3 and s=5”

• Side note: If p = 3 then SUBSTITUTE where “p” is at in the equation; if s = 5 then SUBSTITUTE where “s” is at in the equation!

• New equation: 2(3)(5)

2(3)(5)

2(3) = 6

6(5) = 30

Answer: A. 30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

Step-by-step explanation:

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Comparing the e-values, we can see that e(Pujols) = 0.43 is higher than e(Jeter) = 0.36. Therefore, based on the given statistics, it would be favorable to back Albert Pujols in the batting battle.

To determine which player to back in the batting battle, we can compare their expected values (e-values). The e-value represents the average number of points a player would earn per at-bat.

For Derek Jeter:

e(Jeter) = (156 + 9*4) / 488 = 0.36

For Albert Pujols:

e(Pujols) = (125 + 26*4) / 448 = 0.43

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Derek jeter challenges albert pujols to a batting battle. each will earn 1 point for a hit other than a home run and 4 points for a home run in each round. which player should you back given the statistics in the table below? note that home runs are included as hits in the table. data for two batters batter at bats hits home runs jeter 488 156 9 pujols 448 125 26 e(jeter) = 0.38 and e(pujols) = 0.45, so back pujols. e(jeter) = 0.39 and e(pujols) = 0.51, so back pujols. e(jeter) = 0.34 and e(pujols) = 0.34, so it doesn’t matter who you back. e(jeter) = 1.22 and e(pujols) = 0.94, so back jeter.

Answer: 11 months

Step-by-step explanation:

Let the number of months that it will take him to reach his goal be represented by x.

Based on the information given in the question, this can be formed into an equation as:

8 + 4x = 52

4x = 52 - 8

4x = 44

x = 44/4

x = 11

It will take 11 months to reach the goal

Step-by-step explanation:

The surface area generated by revolving the curve 8xy = 7/6(e³x + e-8x) about the x-axis for -3 ≤ x ≤ 3 is given by:

A = 2π∫(a to b) y(x) √(1 + [y'(x)]²) dx

where y(x) = 7/6(e³x + e-8x)/(8x) and y'(x) can be found using the quotient rule as:

y'(x) = [(8x)(3e³x - 8e-8x) - (7/2)(e³x + e-8x)(8)]/(8x)²

Simplifying this, we get:

y'(x) = (3e³x - 8e-8x - 28/3e³x - 28/3e-8x)/(4x²)

y'(x) = (-19/3e³x - 28/3e-8x)/(4x²)

Substituting these values into the formula for surface area, we get:

A = 2π∫(-3 to 3) [7/6(e³x + e-8x)/(8x)] √(1 + [-19/3e³x - 28/3e-8x)/(4x²)] dx

Simplifying this, we get:

A = π∫(-3 to 3) [7/24(e³x + e-8x)] √[(16x² - 19e³x - 28e-8x)/(3x²)] dx

This integral cannot be solved using elementary functions, so we must use numerical methods to approximate the value of the integral.

Using a calculator or software, we find that the surface area is approximately 532.121 square units.

Hope I helped ya...

Answer:

81

Step-by-step explanation:

my friend theres nothing on the world that will say that 96 - 15 = 9x

because 96-15= 81 and 81 + 15 equals 96

Answer:

C

Step-by-step explanation:

(x-9)3 on edge

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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The missing measures on the triangle are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent, and they are obtained according to the rules presented as follows:

The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle A is given as follows:

m < A + 23 + 90 = 180

m < A = 67º.

Side AC is opposite to the angle of 23º, while the hypotenuse is of 8 units, hence:

sin(23º) = AC/8

AC = 8 x sine of 23 degrees

AC = 3.1.

Side BC is adjacent to the angle of 23º, while the hypotenuse is of 8 units, hence:

cos(23º) = BC/8

BC = 8 x cosine of 23 degrees

BC = 7.4.

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1000 cubic millimeters are in a cubic centimeter.

'What is cubic centimeter?'

There are 1000 cubic millimeters in one cubic centimeter (cm³) (mm³). Add 1000 to the cubic cm number to convert it to cubic mm.

For instance, multiplying 10 by 1000 results in 10000 mm3, or how many cubic mm there are in 10 cubic cm.

The volume of small items is measured in cubic centimeters, a tiny unit of measurement. Discover standard units of measurement, the definition of cubic centimeters, how to convert them, and how to measure volume using cubic centimeters. A little cube with sides that are 1 cm long occupies the same amount of space as a cubic centimeter.

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The probability that exactly 4 seeds don't grow out of 11 planted is approximately 0.992.

This is a binomial distribution problem, where the probability of success (plant growing) is p = 0.6 and the probability of failure (plant not growing) is q = 1 - p = 0.4. We want to find the probability that exactly 4 seeds don't grow out of 11 planted.

The formula for this is:

P(X = k) = (n choose k) * p^k * q^(n-k)

where X is the number of seeds that don't grow, k = 4, n = 11, (n choose k) is the binomial coefficient which can be calculated as (n choose k) = n! / (k!(n-k)!), and p and q are the probabilities of success and failure respectively.

Substituting the values, we get:

P(X = 4) = (11 choose 4) * 0.4^4 * 0.6^7

= (11! / (4! * 7!)) * 0.0256 * 0.1176

= 330 * 0.003008256

= 0.99227008

Therefore, the probability that exactly 4 seeds don't grow out of 11 planted is approximately 0.992.

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Given

The formula of the volume of a cylinder

Substitute the given to the volume

The volume of a cylinder with a radius of 5 and a height of 3 is

Answer:

8.4 in by 8.4 in

Step-by-step explanation:

The area of a square is the side length squared.

Let s be the side length:

s^2 = 70

s = \sqrt(70) = 8.4 in

x = the quantity of 3 plus or minus the square root of 29 all over 2. Then the correct option is B.

The quadratic equation is given as ax² + bx + c = 0.

Then the solution is given as

\(\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}\)

The quadratic equation is given below.

x² – 3x – 5 = 0

Then the solution of the equation will be

\(\rm x = \dfrac{-(-3)\pm \sqrt{(-3)^2 - 4 *1*(-5)}}{2*1}\\x = \dfrac{3 \pm \sqrt{29}}{2}\)

Then the correct option is B.

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