11 ÷ 924 in long division

Answer:

86.4

Step-by-step explanation:

Toye:Koye

5:6

5 - 72

6

(6*72) ÷ 5

=86.4 min

Answer: 529.56

Explanation:

Answer:

529.5600  

Step-by-step explanation:

How do you read decimals? One way to read decimals is with a place value chart. Notice that the place names are similar to the place names for whole numbers, but the names go in the opposite direction. This is because the values of the places decrease as you move from left to right. Think about how this applies to money: a dime, which is worth one-tenth of a dollar, is worth more than a penny, which is worth one one-hundredth of a dollar.

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

1/4

Step-by-step explanation:

1/2 times 1/2

1/2 because there is 3 odds and 3 evens

the total is 6

3/6 equals to 1/2

so 1/2 times 1/2 is 1/4

Answer:

Reciprocal parent function have no intercepts so the answer is A

Step-by-step explanation:

Reciprocal parent function have no intercepts. The graphs of reciprocal functions are made up of branches, which are the two main parts of the graph and asymptotes, which are horizontal and vertical lines that the graph approaches but doesn't touch.

The ratio of their rent to the total amount they spend each month is; 1:4

The parameters given are;

Amount spent on rent = $480

Amount spent on everything else each month = $1440

Thus;

Total amount spent each month = 480 + 1440 = $1920

Thus;

Ratio of their rent to the total amount they spend each month is;

Ratio = 480/1920

Ratio = 1:4

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Answer:

4y^12+9 over y^12

Step-by-step explanation:

hope it helps

The measure of the angle of the triangle ∠BCD = 13°

Given data ,

Let the triangle be represented as ΔBCD

Now , in triangle BCD, we are given the following angle measurements:

angle CDE = (9x - 12)°

angle BCD = (2x + 3)°

angle DBC = (3x + 5)°

From the exterior angle theorem , we get

∠CDE = ∠BCD + ∠DBC

On simplifying , we get

9x - 12 = 2x + 3 + 3x + 5

9x - 12 = 5x + 8

Subtracting 5x on both sides and adding 12 , we get

4x = 20

Divide by 4 on both sides , we get

x = 5

So , the measure of angle ∠BCD = 2(5) + 3

m∠BCD = 13°

Hence , the angle is m∠BCD = 13°

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The complete question is attached below :

In triangle BCD , BD is extended through point D to point E , ∠CDE = ( 9x - 12 )° , ∠BCD = ( 2x + 3 )°, and ∠DBC = ( 3x + 5 )°, find ∠BCD

If a solid sphere and a hollow sphere are released at the same time from the top of the same inclined plane with each object having mass m and radius r then the solid sphere will reach the bottom first.

We know that each object has uniform density and that they all roll without slipping. Also, size, mass, density, and height don’t matter.

let, mass = m

gravity = g

height = h

final velocity = v

radius  = r

angular velocity = ω = vr

moment of inertia = I = km\(r^{2}\)

(where  k  is a measure of the average distance of the mass of an object from its rotational axis)

Now using the law of conservation of energy,

mgh = 1/2m\(v^{2}\) + 1/2I \(\omega^{2}\)

2gh =  \(v^{2}\)+ k\(v^{2}\)

v = \(\sqrt{\frac{2gh}{1+k} }\)

Now if we want to maximize v  we will have to minimize k  -that is we want the mass to be concentrated close to the center. This is inherent as we don’t want the object to waste energy in spinning but rather concentrate it on maximizing the object's speed.

Thus, the hollow sphere whose all the mass is present at the edge will come down slowly while the solid sphere whose mass is concentrated in the center will come down quickly.

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The required amount of the space available is 0.045 cubic meter.

We need to determine Space inside the steps.

The Volume is defined as the mass of object per unit density.

The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2

                                 =  0.06 - 0.015

                                 =    0.045 cubic meter

Hence, the required amount of the space available will be 0.045 cubic meter.

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Answer:

y=8

Step-by-step explanation:

67=4y+y+1+3y+2

67=8y+3

-3       -3

64=8y

 8   8

8=y

y=8

Answer: if you are simplifying its 20x-2

Step-by-step explanation:

SOLUTION:

To divide monomials or polynomials we can spread out the exponents

Final answer:

The final answer is 9v^8

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

a) The value of the mean is μ = 22.5

   The value of the standard deviation is σ = 3.5

b) The Value of 15 girls or fewer is significantly low.

   The value of 30 girls or more is significantly high.

c) The result 36 is significantly high because 36 is greater than 30 girls. A         result of 36 girls is not necessarily definitive proof of the method's effectiveness.

The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.

a) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.

Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.

The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:

μ = np = 45 x 0.5 = 22.5

Therefore, we expect to see around 22-23 girls in a group of 45 couples.

The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:

σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535

Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.

b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.

Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.

Significantly high:

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Significantly low:

Mean - 2σ = 22.5 - 2(3.535) = 15.43

c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.

This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.

It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.

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The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.

Subjects are the different sets of information which is studied.

9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.

The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.

Thus, the correct option is C, 9th graders in her school.

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Answer:

12

Step-by-step explanation:

480 tomatoes/40 baskets = 12 per basket

Answer:

assume the formula is true for n is equal to k prove that result is true for n is equal to k + 1 hence result proves since the thorum is true for n is equal to 1 and n k + 1 is unit through a and

The value of b from the given hyperbolic equation is 10. Therefore, option A is the correct answer.

In mathematics, a hyperbola is an important conic section formed by the intersection of the double cone by a plane surface, but not necessarily at the center. A hyperbola is symmetric along the conjugate axis, and shares many similarities with the ellipse. Concepts like foci, directrix, latus rectum, eccentricity, apply to a hyperbola.

Given that, the equation x²/24² -y²/b² =1 represents a hyperbola centered at the origin with a directrix of x=576/26.

Here, a=24

Then c²=a²+b²

c²= 24²+b²

c=√(576+b²)

We know that, directrix = x =± a²/c

Now, 576/26 = 576/√(576+b²)

√(576+b²)=26

576+b²=26²

576+b²=676

b²=100

b=10

Therefore, option A is the correct answer.

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Answer:

in photo I provided :)

Step-by-step explanation:

hope this helps <3

The required set of numbers 5, 9, 11, and 14 satisfies all the given conditions.

In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set.

a set of four whole numbers that satisfies the given conditions:

5, 9, 11, 14

To check that this set meets the requirements:

The range of the original set (12 - 4 = 8) increased by 2 to become 10 (14 - 4 = 10).

The mean of the original set ((4 + 9 + 10 + 12) / 4 = 8.75) remains the same in the new set ((5 + 9 + 11 + 14) / 4 = 8.75).

The median of the original set is 9.5 (the average of 9 and 10), and the median of the new set is 10 - 1 = 9.

Therefore, the set of numbers 5, 9, 11, and 14 satisfies all the given conditions.

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Answer:

Answer will be 55898.

Step-by-step explanation:

Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.

Answer:

Check photo.

Step-by-step explanation:

Answer:

5 nails and 4 screws

Step-by-step explanation:

Make it into an expression where N= amount of nails bought and S= amount of screws bought. Then set it equal to the amount he paid.

ie: 2n+1s=14

Now make another equation for how many he bought.\

ie: n+s=9

Now subtract one of the letter variables from the second equation to get one on alone.

ie: n=9-s

Now, since you have a value for N, substitute it for the value in the original equation so that there's only one variable.

ie: 2(9-s)+1s=14

Now solve for S.

ie: 18-2s+s=14

ie: -s=-4

ie: s=4

Now you have a number value for S that you can plug in the original equation to find the value of N.

ie: 2n+4=14

ie: 2n=10

ie: n=5

Now plug in your values for N and S into the original equation to check it. Your answer is 5 nails and 4 screws.

Answer:

-19

Step-by-step explanation:

-20 + 55 + 10 + -15 = 30

30 - 11 = 19

-19

Using the concept of degree of a polynomial, it is found that a quadratic trinomial has a degree of 2.

The degree of a polynomial is given by the highest exponent of x.

The quadratic trinomial has the following format:

x² + bx + c.

The highest exponent is of 2, hence the quadratic trinomial has a degree of 2.

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Answer:

(x+4)^2  -25

Step-by-step explanation:

x²+8x-9 in the form  (x+k)² +h.

We need to complete the square.

x^2 +8x   -9

Take the coefficient of x.

8

Divide by 2.

8/2 =4

Square it.

4^2 = 16

Add this then subtract i.

x^2 +8x+16    -16   -9

The x^2 +8x+16 becomes  (x+4) ^2  and we can simplify the remaining terms.

(x+4)^2  -25