4/5+2/50 find sum and type in whole numbers or fractions

Answer:

You could show them by using different set of blocks for different placements.

such as a cetain type of block for the ones place, a different kind for the tens place.

You can color code it so that they could distinguish the different numbers.

Answer:

\(8a^3\)

Step-by-step explanation:

\(\sqrt{64a^6}\)

\(\sqrt{64} \times \sqrt{a^6}\)

\(8 \times \sqrt{a^6}\)

\(8 \times a^{6 \times \frac{1}{2} }\)

\(8 \times a^{\frac{6}{2} }\)

\(8 \times a^3\)

Answer:

\(8a^3\)

Step-by-step explanation:

= \(\sqrt{64a^6}\)

= \(\sqrt{8*8*(a^3)^2}\)

= \(8a^3\)

Using the percentage concept, it is found that 51% of 10th graders surveyed preferred robotics, hence option B is correct.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

\(P = \frac{a}{b} \times 100\%\)

In this problem, we have that 33% out of 65% of the students are 7th graders who preferred robotics, hence the percentage is given by:

\(P = \frac{33}{65} \times 100\% = 51%\)

Which means that option B is correct.

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Answer:

It's A. 61% The dude above me is wrong.

Step-by-step explanation:

I just took the test

Answer:

40

Step-by-step explanation:

Answer:

decimal: 0.23 Fraction 23/100

Step-by-step explanation:

If you need an explanation just say it in the box:)

Answer:

answer B would be the answer due to the amount of the space is shaded.

Answer:

10

Step-by-step explanation:

xy + 5x + 4y = -5

(x + 4) y + 5x = -5

(x + 4) y = -5x − 5

y = -5 (x + 1) / (x + 4)

For y to be large as possible, (x + 1) / (x + 4) must be negative.  That means -4 < x < -1.  So x is either -2 or -3.

The possible values of y are:

y = -5 (-2 + 1) / (-2 + 4) = 5/2 (not an integer).

y = -5 (-3 + 1) / (-3 + 4) = 10.

Answer:

1,080,000 if invested

Step-by-step explanation:

The fair price to be paid today for the assignment of this $20,000,000 lottery prize, assuming it pays out as an ordinary annuity and can be invested at 8%, is approximately $9,818,181.82.

To calculate the fair price to be paid today for the assignment of the $20,000,000 lottery prize, determine the present value of the 20 annual installments at an 8% interest rate.

Given:

Lottery prize: $20,000,000

Number of installments: 20

Interest rate: 8%

To find the present value (PV) of the lottery prize, use the formula for the present value of an ordinary annuity:

PV = P × [(1 - (1 + r)⁻ⁿ) / r]

Where:

PV = Present value of the lottery prize

P = Annual payment (in this case, the annual installment amount)

r = Interest rate per period (expressed as a decimal)

n = Total number of periods (in this case, the number of installments)

First, find the annual payment (P) using the information provided:

Annual payment (P) = Total prize amount / Number of installments

P = $20,000,000 / 20

P = $1,000,000

Now, calculate the present value (PV):

PV = $1,000,000 × [(1 - (1 + 0.08)⁻²⁰) / 0.08]

Using a calculator or spreadsheet, the present value (PV) is approximately $9,818,181.82.

So, the fair price to be paid today for the assignment of this $20,000,000 lottery prize, assuming it pays out as an ordinary annuity and can be invested at 8%, is approximately $9,818,181.82.

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Answer:

7

Step-by-step explanation:

You can think of it as counting normally in a way where you can go
7:30 then add an hour to get 8:30 and so on until you hit 14. The better way of doing this using this is to just subtract the hours if the minutes are the same.

where is the rest of the question?

is that it?

can you give us more info on this question? like anything?

thanks

The interval in which the growth rate is decreasing is (-∞, ㏑3/1.3)

The minimum value of a function is the lowest value of that function

To find the interval in which the growth rate of the function  is decreasing, its second derivative must be greater than zero.

That is, d²y/dx² > 0.

Since \(f(x) = \frac{24}{1 + 3e^{-1.3x} }\)

Differentiating f(x) with respect to x, we have

 \(f'(x) = \frac{{d24(1 + 3e^{-1.3x})^{-1} }}{dx} \\= \frac{24\times(-1.3)\times3e^{-1.3x}}{(1 + 3e^{-1.3x})^{2}} \\= \frac{93.6e^{-1.3x}}{(1 + 3e^{-1.3x})^{2}}\)

Differentiating again to get f"(x), we have using the quotient rule where

if f(x) = u/v, then f'(x) = (vu' - uv')/v²

So, u = 93.6e⁻¹°³ˣ and v = (1 + 3e⁻¹°³ˣ)²

So, u' = d93.6e⁻¹°³ˣ/dx

= -1.3(93.6)e⁻¹°³ˣ

= -121.68e⁻¹°³ˣ

Also, v' = d(1 + 3e⁻¹°³ˣ)²/dx

= 2(1 + 3e⁻¹°³ˣ) × -1.3(3)e⁻¹°³ˣ

= -7.8(1 + 3e⁻¹°³ˣ)e⁻¹°³ˣ

So, f"(x) =  (vu' - uv')/v²

= {(1 + 3e⁻¹°³ˣ)² ×  -121.68e⁻¹°³ˣ - 93.6e⁻¹°³ˣ × [-7.8(1 + 3e⁻¹°³ˣ)e⁻¹°³ˣ]}/[(1 + 3e⁻¹°³ˣ)²]²

= {-121.68(1 + 3e⁻¹°³ˣ)²e⁻¹°³ˣ + 730.08(1 + 3e⁻¹°³ˣ)(e⁻¹°³ˣ)²]}/[(1 + 3e⁻¹°³ˣ)²]²

= (1 + 3e⁻¹°³ˣ)e⁻¹°³ˣ {-121.68(1 + 3e⁻¹°³ˣ)  + 730.08e⁻¹°³ˣ]}/[(1 + 3e⁻¹°³ˣ)²]²

= e⁻¹°³ˣ {-121.68(1 + 3e⁻¹°³ˣ)  + 730.08e⁻¹°³ˣ]}/[(1 + 3e⁻¹°³ˣ)³

For minimum f(x), f"(x) > 0

So,

e⁻¹°³ˣ {-121.68(1 + 3e⁻¹°³ˣ)  + 730.08e⁻¹°³ˣ]}/[(1 + 3e⁻¹°³ˣ)³ > 0

⇒ e⁻¹°³ˣ {-121.68(1 + 3e⁻¹°³ˣ)  + 730.08e⁻¹°³ˣ]} > 0

⇒-121.68(1 + 3e⁻¹°³ˣ)  + 730.08e⁻¹°³ˣ > 0

So, -121.68(1 + 3e⁻¹°³ˣ)  >  -730.08e⁻¹°³ˣ

Dividing through by -121.68, we have that

1 + 3e⁻¹°³ˣ  <  -730.08e⁻¹°³ˣ/-121.68

1 + 3e⁻¹°³ˣ  <  6e⁻¹°³ˣ

1 <  6e⁻¹°³ˣ - 3e⁻¹°³ˣ  

1 < 3e⁻¹°³ˣ  

Dividing through by 3, we have that

1/3 < e⁻¹°³ˣ  

⇒ e⁻¹°³ˣ  > 1/3

Taking natural logarithm of both sides, we have that

㏑e⁻¹°³ˣ  > ㏑1/3

-1.3x > -㏑3

Dividing through by - 1.3,we have that

x < -㏑3/-1.3

x < ㏑3/1.3

Since x is less than ㏑3/1.3, the interval is (-∞, ㏑3/1.3)

So, the interval is (-∞, ㏑3/1.3)

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Answer:

  (b)  (ln(3)/1.3, ∞)

Step-by-step explanation:

You want the interval on which the rate of change of the logistic function f(x) = 24/(1 +e^(-1.3x)) is decreasing.

The function f(x) graphs as a curve that increases at an increasing rate until it reaches half its final value, then decreases at a decreasing rate so that it asymptotically approaches its final value.

This transition in rate of change occurs when the exponential term in the denominator becomes equal to the constant term. That is, the rate of growth begins to decrease when ...

  1 = 3e^(-1.3x)

  0 = ln(3) -1.3x . . . . . take natural logs of both sides

  x = ln(3)/1.3 . . . . . . solve for x

The growth rate is decreasing on the interval (ln(3)/1.3, ∞), choice B.

__

Additional comment

We could look at where the second derivative is negative.

  f'(x) = -24(1 +3e^(-1.3x))^-2·(3e^(-1.3x))(-1.3)

  f'(x) = 93.6(e^(1.3x) +6 +9e^(-1.3x))^-1 . . . . expand denominator, multiply numerator and denominator by e^(1.3x)

The second derivative is then ...

  f''(x) = -93.6(e^(1.3x) +6 +9e^(-1.3x))^-2·(1.3e^(1.3x) -9(1.3e^(-1.3x)))

The sign matches that of the numerator:

  121.68(9e^(-1.3x) -e(1.3x)) < 0

  9-e^(2.6x) < 0 . . . . . . multiply by e^(1.3x)/121.68

  ln(9) < 2.6x . . . . . . natural logs

  x > ln(3)/1.3 . . . . divide by 2.6 and cancel factor of 2

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a. Median for name brands is greater than the median for store brands data values in the boxplots given.

b. Approximately 75% of the data values of name brands is greater than the median of the data values of store brands.

A boxplot displays the distribution of a data such that the median is represented by the vertical line that divides the rectangular box.

25% of a data distribution is represented by the beginning of the edge of the box, while 50% is represented by the median, and 75% is represented by the point at the end of the edge of the box in the boxplot.

Therefore:

a. The median of name brands peanut butter is approximately 82-83.

The median of store brands is approximately less than 80.

Thus, we can conclude that, the median for name brands is greater than the median for store brands.

b. The median for store brands is approximately below 25% of the data values for name brands. Therefore, we would conclude that, approximately 75% of name brands data value are greater, compared to the median of the store brands data value.

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Answer:

g=y/x+m

Step-by-step explanation:

Answer:

g=(y-m)/x

Step-by-step explanation:

In the beginning, you owuld subtract m from one side of the equation to get y-m=gx.

Then you would divide both sides by x, therfore getting g=(y/m)/x.

Hope this helps!  

Answer:

- x² + 7

Step-by-step explanation:

A quadratic polynomial has the form ax² + bx + c where a, b, c are constants

Definition of a quadratic binomial

A quadratic binomial quadratic with two terms. It must always have an x² term (since a cannot equal zero in a quadratic) and one other term: either an x term (linear) or a constant term that has a nonzero coefficient.

So it is either of the form ax² + bx or ax² + c

In this case, the coefficient is a = -1 and constant is c= 7

So the quadratic binomial is
-1x² + 7 = - x² + 7

Answer:

-\(x^{2}\) + 7

Step-by-step explanation:

A binomial is a variable expression with two terms. Example 5x + 4

A quadratic binomial is a second degree binomial, such as 5\(x^{2}\) +4

The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Step-by-step explanation:

hope this would help I'll keep calculating

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

20.9

Step-by-step explanation:

its the same as the other side, don't think to much about it

Answer:

20.9 Is the right answer

Step-by-step explanation:

hope this helps

Answer:

OK, Here is your answer

Step-by-step explanation:

Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.

Answer:

18 Lieters.

Step-by-step explanation:

found the answer in his answer. ↑↑↑↑

It would take a total of 20 days to produce the batch of pens.

Let's calculate the work done by the 3 machines for the first 8 days:

Work done by 3 machines in 8 days = (3/12) * 8 = 2 days' worth of work

The remaining work that needs to be done by all 12 machines is:

Remaining work = 1 - (2/20) = 0.9

Now, we can use the work formula to find the total number of days needed to complete the remaining work with 12 machines:

Total work = 0.9

Work done by 12 machines in one day = 12/20 = 0.6

Total number of days needed = 0.9/0.6 = 1.5

Therefore, the total number of days needed to produce the batch of pens is:

8 (days with 3 machines) + 1.5 (days with 12 machines) = 9.5 days

However, we also need to add the 10.5 days it would take for all 12 machines to complete the batch from the beginning:

10.5 + 9.5 = 20 days

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1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.

2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.

3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`

construction of index number is also available in two parts:

1. simple

2. weighted

1. simple: the simple method is classified into simple aggregative and simple relative.

2. weighted: the weighted method is classified into a weighted aggregative and weighted average.

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Answer:

hope this help you......

To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

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Answer:

39.4°

Step-by-step explanation:

complementary angles add up to 90

therefore, the complementary angle to 50.6 is:

90 - 50.6 = 39.4

If the small "coffee-shop" owner is trying to determine the preference of her customers by conducting a survey among a group of customers who visit the shop during a specific time frame, then this group would be a sample rather than a population.

A "Sample" is defined as a subset of the population that is selected to represent the entire population. In this case, the owner is trying to determine the preference of her customers by surveying a specific group of customers.

So, this group of customers is a sample of the population of all customers who visit the coffee shop.

To obtain meaningful results from the survey, the sample should be selected randomly and should be representative of the population. The results obtained from the sample could then be used to make inferences about the preferences of the entire population of customers who visit the coffee shop.

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The given question is incomplete, the complete question is

A small coffee shop owner wants to know which brand of coffee her customers prefer.

Is the data considered a "population" or "sample", Explain?