what is the estimated product of 43x36

Answer:

your answer is D becuase for every 12 throws, he catches 7. therefore 7:12

Step-by-step explanation:

The population of North Carolina will reach 12 million in the year 2028.

Population growth is defined as the increase in the number of people which is calculated using population growth rate.

Given that,

Population in 2010 = 9.5 million

Population is increasing to 1.3% per year.

Annual growth rate = 1.3% = 1.3/100 = 0.013

We have the population growth formula,

P = P₀ e^(r t)

Here, P₀ = 9.5 million = 9,500,000

and P = 12 million = 12,000,000

r = 0.013

We have to find t.

12,000,000 = 9,500,000 e^(0.013t)

120 / 95 = e^(0.013t)

Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,

㏑(12/9.5) = 0.013t × ㏑e

[㏑(12/9.5) ÷ 0.013] = t  [since ln e = 1]

t = 17.97 ≈ 18 years

The year is 2010 + 18 = 2028

Hence in the year 2028, the population will be 12 million.

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The algorithm justifies the answer of 3/5 as the fraction each person gets.

Representation of the fractions on the second row:

From what you described, two of the loaves were divided into thirds.

This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.

Therefore, each person receives one fifth from this remaining third.

So, the representation of the fractions on the second row would be:

Each person receives 1/3 (one third) from the two loaves.

Each person receives 1/5 (one fifth) from the remaining third.

Algorithm/Abstract strategy to justify the 3/5 found as the answer:

To find the final answer of 3/5, we can follow the steps you provided:

Divide two loaves into thirds, giving each person 1/3.

Divide the remaining third from the second loaf into fifths, giving each person 1/5.

Combining the fractions, each person has 1/3 + 1/5.

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:

1/3 = 5/15 (multiplying numerator and denominator by 5)

1/5 = 3/15 (multiplying numerator and denominator by 3)

Now, we can add the fractions:

5/15 + 3/15 = 8/15

Therefore, each person receives 8/15 of a loaf.

Simplifying this fraction, we get 3/5.

Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.

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Answer:

C. middle school grades

Step-by-step explanation:

Colleges want to see if students challenged themselves by taking rigorous courses, and they also want to know what kind of grades students were able to maintain. They also like to take into account the scores you get on standardized tests because these tests can give a relatively accurate idea of a student's mastery of certain subjects. The only thing they don't pay attention to are the grades you earned in middle school. Since these grades aren't very recent, they don't serve as an accurate measure of a student's academic ability, which is why colleges prefer to look at the grades a student earns during their time in high school.

Hope this helps :)

Answer:

r = 5

Step-by-step explanation:

25 - 3r = 10 ( subtract 25 from both sides )

- 3r = - 15 ( divide both sides by - 3 )

r = 5

the solution from the replacement set is 5

Answer:

10

Step-by-step explanation:

6^2+8^2=x^2

36+64=x^2

x=sqrt100

x=10

The scenario that will bring about less interest will be Borrowing $1750 for six months at a simple interest rate of 7%.

It should be noted that the simple Interest is calculated by using the formula thus:

= Principal × Rate × Time

Borrowing $1750 for six months at a simple interest rate of 7%. The simple interest will be:

= $1750 × 7% × 6/12

= $61.25

Borrowing $1750 for five months at a simple interest rate of 9%. The simple Interest will be:

= $1750 × 9% × 5/12

= $65.64

Therefore, Borrowing $1750 for six months at a simple interest rate of 7% has less simple interest.

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Answer:

76ft^3

Step-by-step explanation:

Volume of a cube is Length x Width x Height, basically: 4 x 4 x 4 which is 64 ft^3. Add that to the small box gives you 64 + 12 or just 76 ft^3

Using sampling concepts, it is found that this is an example of a random sample.

Samples may be classified as:

In this problem, one winner is chosen at random from all the participants, hence random sampling is used.

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The estimated probability P(more than 4) is approximately 0.9678.

P(more than 4) ≈ 0.9678. A.

To determine whether the normal distribution can be used as an approximation to the binomial distribution, we need to check if both np and nq are greater than or equal to 5.

n = 11 and p = 0.6.

np = 11 × 0.6

= 6.6

nq = 11 × (1 - 0.6)

= 4.4

Since np = 6.6 is greater than 5 and nq = 4.4 is not less than 5, the normal distribution can be used as an approximation.

To estimate P(more than 4) using the normal distribution approximation, we need to find the mean and standard deviation of the binomial distribution, which can be approximated by the normal distribution.

Mean (μ) = np

= 11 × 0.6

= 6.6

Standard Deviation (σ) = √(npq)

= √(11 × 0.6 × 0.4)

≈ 1.397

Now we can use the normal distribution to estimate P(more than 4).

Since we are interested in more than 4, we need to find P(X > 4).

We can standardize the value of 4 using the mean and standard deviation calculated above and then look up the corresponding area under the standard normal distribution curve.

Z = (X - μ) / σ

= (4 - 6.6) / 1.397

≈ -1.860

Looking up the corresponding area in the standard normal distribution table or using a calculator, we find that the area to the left of -1.860 is approximately 0.0322.

P(X > 4) = 1 - P(X ≤ 4)

P(X > 4) ≈ 1 - 0.0322

≈ 0.9678

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Answer:

2.7

Step-by-step explanation:

1200x 30/100×25/100×3/100=2.7

Answer:

Step-by-step explanation:

Answer:

18 guests.

Step-by-step explanation:

To find the number of guests, we can simply divide 1/6 from 3. The result gives us 18.

floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above

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Answer:

50

Step-by-step explanation:

50+40=90 and that's what you need

Answer:

50

Step-by-step explanation:

it's a right triangle so it has to equal 90 and since there is a 40 you will need 50 to equal 90

Answer:

Yes, the equation y = -2x^2 + 1 is a function.

Step-by-step explanation:

A function is a rule that assigns a unique output (y-value) to each input (x-value). In the given equation, we can see that for any given value of x, there is only one corresponding value of y.

To check this more formally, we can use the vertical line test. If a vertical line intersects a graph in more than one point, then the graph does not represent a function. If a vertical line intersects the graph in only one point, then the graph does represent a function.

The graph of the equation y = -2x^2 + 1 is a downward opening parabola. The vertex of the parabola is at (0,1). Since any vertical line intersects the graph at most once, we can conclude that the equation y = -2x^2 + 1 represents a function.

Answer:

The value of limit = \(\frac{13}{8}\)

Step-by-step explanation:

Explanation:-

Given  \(\lim_{x \to 4} \frac{x^{2}+5 x-36 }{x^{2}-16 }\)

      =  \(\lim_{x \to 4} \frac{x^{2}+9 x-4 x-36 }{(x-4)(x+4) }\)

     = \(\lim_{x \to 4} \frac{(x(x-4)+9(x-4) }{(x-4)(x+4) }\)

     =\(\lim_{x \to 4} \frac{((x-4)(x+9)}{(x-4)(x+4) }\)

   = \(\frac{4+9}{4+4}\)

  = \(\frac{13}{8}\)

Hence the limit exists and The value of limit = \(\frac{13}{8}\)

Answer:

6 sqrt(5)

Step-by-step explanation:

(3√2) ( √10)

We know that sqrt(a) * sqrt(b) = sqrt(ab)

3 sqrt(2*10)

3 sqrt(20)

3 sqrt(4*5)

We know that sqrt(a) * sqrt(b) = sqrt(ab)

3 sqrt(4) sqrt(5)

3 * 2 * sqrt(5)

6 sqrt(5)

A parallelogram is a special kind of quadrilateral, and as its name suggests, a parallelogram is a figure with two pairs of parallel opposite sides.

But parallelograms have other properties that can determine their angles and aspect ratios.

1. Opposite sides are parallel.

Segment AB is parallel to segment DC, and segment AD is parallel to segment BC.

2. Opposite sides are congruent.

Segment AB is congruent to segment DC, and segment AD is congruent to segment BC.

3. Opposite angles are congruent.

Angle A is congruent to angle C, and angle D is congruent to angle B.

4. Same-Side interior angles (consecutive angles) are supplementary.

Angles A and D are supplementary, angles B and C are supplementary, angles A and B are supplementary and angles D and C are supplementary.

5. If one angle is right, then all angles are right.

6. Each diagonal of a parallelogram separates it into two congruent triangles.

Triangle DAB is congruent to triangle DCB.

7. The diagonals of a parallelogram bisect each other.

Please find the attached file for the figure of a parallelogram.

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Answer:25.3

Step-by-step explanation:

Because your adding 25 to 0 and leaving the decimal point and taking away 0 from 30

Answer:

4.5

Step-by-step explanation:

Answer:

Look at Screenshot

Answer:

3

Step-by-step explanation:

The number of necessary tutors when you divide 27 into 72, is 2.6; therefore the necessary number of tutors is 3 because you can’t have .6 of a tutor. Hope this helps!

We are given the following details:

Small cup of Coffee = $2

Regular cup of Coffee = $4

Large cup of Coffee = $5

1.

Jon orders 4 fewer large cups than David as shown below. The amount he spent is shown below:

This means that Jon spent $30 on coffee

2.

The equation is shown below:

3.

Jon bought zero small cups of coffee. This is represented as:

Hence, Jamie is correct

4.

David ordered 10 large cups of coffee as shown below:

If David paid for his order with a $20 bill, we have:

That implies that $20 cannot cover David's order, he'd still be having a deficit of $30

Answer:

You can make 27 different 3 digit numbers

Step-by-step explanation:

Since we can use 3 different numbers this means that each of the 3 digits can be one of the 3 numbers (4,2,9). This means that there are 3 different values for the first digit, 3 different values for the second digit, and 3 different values for the third digit, which mean that we can make 3 x 3 x 3 different 3 digit numbers (we took the number of possible values for each digit and multiplied them together.

3 x 3 x 3 = 27

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer:

The first number is 5 the second number is 2

Step-by-step explanation:

I think this is right. have a great day :)

Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?

Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.

To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.

Rental: 1/5

Food: 1/10

Bank: 1/4

To find the fraction spent on miscellaneous:

Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)

Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40

Fraction spent on miscellaneous = 1 - 17/40 = 23/40

So, Mr. Marshal spent 23/40 of his salary on miscellaneous.

To find the amount spent on rental, we multiply the fraction spent on rental by his salary:

Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680

Therefore, Mr. Marshal spent $1,680 on rental.

If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.

Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90

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