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Answer:

b = 10

-2d = -38

x = -1.2

Step-by-step explanation:

b = 10 and x = -1.2 only have one variable. You can divide -2 to both sides for -2d = -38 getting d = 19.

0.1 = 0.1 have no variable meaning that any number can be correct in the equation

1/3 ≠ 1/3 has a cross in the equal sign meaning that there is no correct answer for the equation.

The quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

The time taken by substance to reduce to its half of its initial concentration is called half life period.

We will use the half- life equation N(t)

N e^{(-0.693t) /t½}

Where,

N is the initial sample

t½ is the half life time period of the substance

t2 is the time in years.

N(t) is the reminder quantity after t years .

Given

N = 13g

t = 350 years

t½ = 1599 years

By substituting all the value, we get

N(t) = 13e^(0.693 × 50) / (1599)

= 13e^(- 0.368386)

= 13 × 0.691

= 8.98

Thus, we calculated that the quantity of substance remains after 850 years is 8.98g if the half life of radioactive radium is 1,599 years.

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Answer:

Step-by-step explanation:

Sum of 3 angles of a triangle= 180

3x-2+x+11+4x+3= 180

Separate x terms from constants

3x+x+4x-2+11+3= 180  

8x+12= 180

8x= 180-12

8x= 168

x= 168/8

x= 21

Put the value of x in angles:

3x-2=3(21)-2= 63-2= 61

x+11= 21+11= 32

4x+3= 4(21)+3= 84+3= 87

If you want to check whether your answer is right or wrong, you can cross-check by adding the 3 angles

61+32+87= 180.

Hope this will help :)

Answer:

> hope I helped please mark brainlist

8x1/3 is in the simplest form. 8x1/3=7 3/3x1/3=8 3/9. 8 3/9=8 1/3.

Simplest Form: 8 1/3

The profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

To find the profit of each person, we can use the concept of ratios.

First, let's find the total investment made by both Aslam and Akram:
Total investment = Aslam's investment + Akram's investment
Total investment = 27000 + 30000 = 57000

Next, let's calculate the ratio of Aslam's investment to the total investment:
Aslam's ratio = Aslam's investment / Total investment
Aslam's ratio = 27000 / 57000 = 0.4737

Similarly, let's calculate the ratio of Akram's investment to the total investment:
Akram's ratio = Akram's investment / Total investment
Akram's ratio = 30000 / 57000 = 0.5263

Now, we can find the profit of each person using their respective ratios:
Profit of Aslam = Aslam's ratio * Total profit
Profit of Aslam = 0.4737 * 66500 = 31474.5

Profit of Akram = Akram's ratio * Total profit
Profit of Akram = 0.5263 * 66500 = 35025.5

Therefore, the profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

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Answer:

The answer is A. 0.284

Step-by-step explanation:

Numbers that have a line above them represent that they never end.  Since an irrational number is a number that never ends, option A is our answer.

Answer:

5.08 cm would be 2 in and 10 in would be 25.4 cm

The double integral is used to find the area of the region inside the circle (x − 4)² + y² = 16 and outside the circle x² + y² = 16. area of the shaded region is 16π.

Since we have to find the area of the region inside the circle (x − 4)² + y² = 16 and outside the circle x² + y² = 16, we need to compute the area of the shaded region. We can do this by setting up an integral and then evaluating it.
The region of integration is given by -4 ≤ x ≤ 4, and -2 ≤ y ≤ 2. Therefore, we can set up the double integral as follows: A = ∬D dx dy

Where D is the region of integration. Since we are integrating over a circular region, we can use polar coordinates. The conversion from rectangular coordinates to polar coordinates is given by:
x = r cosθ
y = r sinθ We can write the integrand in terms of polar coordinates as:  dA = r dr dθ

The limits of integration for r are 0 and 4. The limits of integration for θ are 0 and 2π. Therefore, we can write the double integral as:
A = ∫₀²π ∫₀⁴ r dr dθ

Now we can evaluate the double integral:
A = ∫₀²π ∫₀⁴ r dr dθ
A = ∫₀²π [r²/2]₀⁴ dθ
A = ∫₀²π 8 dθ

A = 16π
Therefore, the area of the shaded region is 16π.

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The probability that less than 50% of the people in the sample say that they need a vacation after visiting family for the holidays is 0.0062.

Let p be the proportion of Americans in the sample who say they need a vacation after visiting family for holidays.

In this case, p0 = 0.60 (true proportion);

and n = 150.

Since:

n * p = (150) * (0.6) = 90 is ≥ 10; and

n * (1 - 0.6) = (150) * (0.4) = 60 is ≥ 10,

then we can apply the Normal Approximation for Binomial Distribution.

So,

Mean = p0

SD = √ (p0 (1–p0) / n).

Then:

Mean = p0 = 0.60

SD = √ (p0 (1–p0) / n) = √ (0.60 (1–0.60) / 150) = 0.04

Thus, the required probability is:

P (p ≤ 0.50) = P (z < (0.50–0.60) / 0.04) = P (z < –2.5) = 1 – P (z < 2.5) = 1 – 0.9938 = 0.0062.

Hence, the probability that less than 50% of the people in the sample say that they need a vacation after visiting family for the holidays is 0.0062.

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The number of scores above 18 in a sample of 1000 cases with a mean of 14 and a standard deviation of 2.5 is 2 or higher. This can be found using standard normal distribution and z-scores.

To find the number of scores above 18, we need to calculate the z-score that corresponds to 18 and then use a standard normal distribution table to find the proportion of scores that are above that z-score. The z-score can be calculated as (18-14)/2.5 = 2.

Next, we can look up the proportion of scores that correspond to a z-score of 2 or higher in a standard normal distribution table. This proportion represents the number of scores in the sample that are above 18, assuming a normal distribution.

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Answer:

325

Step-by-step explanation:

All you need to do is,

3770 ÷ 11.6

= 325 meters.

Triangle ABC, we are given the measure of angle A as 30 degrees, the length of side AC as 10.7 cm, and the length of side BC as 6.5 cm.

To work out the value of sin(ABC), we can use the trigonometric ratio of the sine function.

The sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle.

In the given information, we don't have a right triangle or the length of the side opposite angle ABC.

Without this information, it is not possible to calculate the value of sin(ABC) accurately.

If you have any other information regarding the triangle, such as the length of side AB or the measure of angle B or C, please provide it so that I can assist you further in calculating sin(ABC).

We may utilise the sine function's trigonometric ratio to get the value of sin(ABC).

The sine function connects the ratio of the hypotenuse length of a right triangle to the length of the side opposite an angle.

A right triangle or the length of the side opposite angle ABC are absent from the provided information.

The value of sin(ABC) cannot be reliably calculated without these information.

Please share any more information you may have about the triangle, such as the length of side AB or the size of angles B or C, so I can help you with the calculation of sin(ABC).

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Answer:

-10.7°F.

Steps used to get answer:

1. Use this rule: a-b= -(b-a)

-(26-15.3)

2. Use the algorithm method.

  5 10

 26.0

- 15.3

---------------------

   10.7

3. After simplification, we have:

−(26−15.3)=−10.7

4. Therefore, 15.3-26=-10.7

−10.7°F.

Done by NeighborhoodDealer

This is an indeterminate form of ∞/∞, we can apply L'Hospital's rule. The solution to the following limits is given below:

3. limx→2 x²-3x+5/3x²+4x+1

4. lim x→3 (2x - 2)/(6x - 2)= 1/2.

We can apply L'Hospital's rule.

It states that if we have an indeterminater form of ∞/∞ or 0/0, then we can differentiate the numerator and denominator and keep doing it until we get a value for the limit.

Let's do it.

3. limx→2 x²-3x+5/3x²+4x+1=

limx→2 (2x - 3)/(6x + 4)= -1/2.

4. lim x→3 x²-2x-3/3x²-2x+1

This is also an indeterminate form of ∞/∞.

We can apply L'Hospital's rule here as well.

4. lim x→3 x²-2x-3/3x²-2x+1=

lim x→3 (2x - 2)/(6x - 2)= 1/2.

Limit of a function refers to the value that the function approaches as the input approaches a certain value.

One-sided limits are the values that the function approaches when x is approaching the value from one side.

When we write a limit as x approaches a, we mean that we are looking at the behavior of the function as x gets close to a.

There are several ways to evaluate limits, and one of the most common is to use L'Hospital's rule.

This rule states that if we have an indeterminate form of ∞/∞ or 0/0, then we can differentiate the numerator and denominator and keep doing it until we get a value for the limit.

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43,470 foot-pounds of work are done in winding the rope so that the bucket can go into a window that sits 10 feet above the ground.

To calculate the work done in winding the rope, we need to determine the distance the bucket needs to be lifted and the force required to lift it.

The total weight of the rope and bucket is 20 + 5 = 25 pounds. We can assume that all of this weight is concentrated at the center of mass of the system, which is located at a height of 64/2 = 32 feet above the ground.

To lift the bucket to a window that sits 10 feet above the ground, we need to raise it a distance of 64 - 10 = 54 feet.

The force required to lift an object is equal to its weight multiplied by the acceleration due to gravity, which is approximately 32.2 feet per second squared.

Therefore, the force required to lift the bucket is:

F = (25 pounds) x (32.2 feet per second squared) = 805 pounds

The work done in lifting the bucket is equal to the force required multiplied by the distance lifted:

W = (805 pounds) x (54 feet) = 43,470 foot-pounds

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Answer: 2 2/5

Step-by-step explanation:

8 7/10 - 6 3/10 = 2 4/10 = 2 2/5

See picture below for answer

a. -7 is your answer dear.

Step-by-step explanation:

Ur complete Question is like -245/35 = -7

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Answer: Natural Numbers

Step-by-step explanation:

Answer:

\(85 cm^{3}\)

Step-by-step explanation:

The formula to find the volume of a rectangular prism such as this is :

V = length * width * depth

To solve for this problem, we just plug in the values and multiply it all out.

\(9\frac{1}{8} *2*4\frac{2}{3}\) = \(85\frac{1}{6}\)

Therefore, the volume of this prism is 85\(cm^{3}\).

Have a nice day and mark brainliest if possible - it always helps ;)

Answer:

no association

Step-by-step explanation:

it's obviously not a positive or negative linear, and i'm sure non-linear graphs don't look like that

Answer:

Step-by-step explanation:

J=m, C=3J, C=3m

Together they have run

m+3m which is equal to

4m

The average increase in the number of flowers pollinated per day between days 4 and 10 is 39, given that the number of pollinated flowers as a function of time in days can be represented by the function \(f(x) = (3)^{\frac{x}{2} }\).

In the question, we are asked for the average increase in the number of flowers pollinated per day between days 4 and 10, given that the number of pollinated flowers as a function of time in days can be represented by the function \(f(x) = (3)^{\frac{x}{2} }\).

To find the average increase in the number of flowers pollinated per day between days 4 and 10, we use the formula {f(10) - f(4)}/{10 - 4}.

First, we find the value of the function \(f(x) = (3)^{\frac{x}{2} }\), for f(10) and f(4).

\(f(x) = (3)^{\frac{x}{2} }\\\Rightarrow f(10) = (3)^{\frac{10}{2} }\\\Rightarrow f(10) = 3^5 = 243\)

\(f(x) = (3)^{\frac{x}{2} }\\\Rightarrow f(4) = (3)^{\frac{4}{2} }\\\Rightarrow f(10) = 3^2 = 9\)

Thus, the average increase

= {f(10) - f(4)}/{10 - 4},

= (243 - 9)/(10 - 4),

= 234/6

= 39.

Thus, the average increase in the number of flowers pollinated per day between days 4 and 10 is 39, given that the number of pollinated flowers as a function of time in days can be represented by the function \(f(x) = (3)^{\frac{x}{2} }\).

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For complete question, refer to the attachment.

Answer:

a warm front is happening

Answer:

hot

Step-by-step explanation:

Answer:

pretty sure its 2.9

Step-by-step explanation:

Answer:2.92 or just 3

Step-by-step explanation:

btw read your lesson and pay attentiom

Answer:

150 cans were thrown away

Step-by-step explanation:

If the weight of 10 aluminum cans=0.16 kilogram

Each can weighs=0.16 kilograms/10

=0.016kg per can

If the family threw away 2.4 kilogram of aluminum in a month,

How many cans did they throw away?

Total cans thrown away= Total kilogram of cans/each kilogram of cans

=2.4kg/0.016kg

=150 cans

150 cans were thrown away

Expression as a fraction of 0.7 cm³ for 117 mm³ is given by the fraction 0.117 / 0.7.

To write 117 mm³ as a fraction of 0.7 cm³,

we need to convert the units so they match.

Since there are 10 millimeters in a centimeter

1 cm = 10 mm

This implies,

1 cm³ = (10 mm)³

         = 1000 mm³

Now we can express 117 mm³ as a fraction of 0.7 cm³:

117 mm³ / 0.7 cm³

To convert mm³ to cm³, we divide by 1000,

117 mm³ / 1000 = 0.117 cm³

Now we can express it as a fraction,

0.117 cm³ / 0.7 cm³

Simplifying the fraction, we divide the numerator and the denominator by 0.117,

= (0.117 cm³ / 0.117 cm³) / (0.7 cm³ / 0.117 cm³)

= 1 / (0.7 / 0.117)

To divide by a fraction, we multiply by its reciprocal:

= 1 × (0.117 / 0.7)

= 0.117 / 0.7

Therefore, 117 mm³ is equal to the fraction 0.117 / 0.7 when expressed as a fraction of 0.7 cm³.

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