i don't understand the calculation of learning rate , how it came 75%

\( {12x}^{4} + {39x}^{3} + {9x}^{2} \)

We csn pull out 3x² out of the expression.

\( {3x}^{2} (4 {x}^{2} + 13x + 3)\)

We simply pull out the x-term with lowest degree and 3 out of the expression. If another expression cannot be factored after first factoring then that's the final answer.

\( {4x}^{2} + 13x + 3 \\ (4x + 1)(x + 3)\)

\(3 {x}^{2} (4x + 1)(x + 3)\)

\( \large \boxed { {3x}^{2} (4x + 1)(x + 3)}\)

Answer:

2nd answer option : 6^(13/4)

Step-by-step explanation:

what are we doing, when 2 equal base terms with exponents are multiplied ? we add the exponents !

this is like 3⁴×3³ = 3⁷

because

3×3×3×3 × 3×3×3 = 3×3×3×3×3×3×3 = 3⁷

it is that simple.

and that concept is also valid for any kind of number as exponent. even for fractions and so on.

so,

6^3 × 6^(1/4) = 6^(3 + 1/4) = 6^(12/4 + 1/4) = 6^(13/4)

Answer:

3 Units To The Left

Step-by-step explanation:

Answer:

11,200

Step-by-step explanation:

1.12 x 10^4

to write in standard, we must move the decimal 4 places right

1.12 > 11.2 > 112.0 > 1120.0 > 11,200

Answer: 11200

Step-by-step explanation:

1.12 * 10^4
= 1.12 * 10000
= 11200

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

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Answer:

5

Step-by-step explanation:

24 divided by 3 is 8

so 15 divided by 3 is 5

Answer:

Wednesday and Sunday

Answer:

-log(3.2•10^-4)=pH

Step-by-step explanation:

The choice which shows a valid step in the process of calculating the pH of the substance is; Choice B. - log(3.2.10-⁴) = pH.

According to the question;

Therefore, when H = 0.00032

However; 0.00032 can be written in standard form as; 3.2.10-⁴

Therefore, Choice B is correct.

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Given :

Bob is 4 years younger than Ann and 5 years older than Frank. Alice is with 20 years 5 years older than Frank.

To Find :

The age difference (in years) between the oldest and youngest person.

Solution :

Let, age Bob is x.

Age of Ann = x + 4.

Age of Frank = x - 5.

Age of Alice  = 20 .

It is given that Alice is 5 years older than Frank.

x - 5 = 20 - 5

x = 20

So, age of Ann = 20 + 4 = 24

Age of Bob = 20

Age of Frank = 15

Therefore, age difference between oldest and youngest person is 24 - 15 = 9 years.

Hence, this is the required solution.

The age difference (in years) between the oldest and youngest person is; 9 years

Let the age of Bob be x.

Now, Bob is 4 years younger than Ann and 5 years older than frank. Thus;

Age of Ann = x + 4

Age of Frank = x - 5

Alice is 20 years old and 5 years older than frank. Thus;

Age of Alice = 20

Age of frank = 20 - 5 = 15 years

From earlier, we saw that age of frank = x - 5

Thus;

x - 5 = 15

x = 15 + 5

x = 20 years

Thus;

Age of Ann = 20 + 4 = 24 years

We have established that;

Age of Bob = 20 years

Age of Frank = 15 years

Age of Ann = 24 years

Thus, oldest is Ann at 24 years old

Youngest is frank at 15 years

Thus, age difference between oldest and youngest person is; 24 - 15 = 9 years.

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The equations of bounded lines of graph are 2y = 5x, x = 6 and y = 1/2x.

It can be observed that the point (0,0) lies in region. So one inequality is,

The point (0,1) does not lies in the region. So point (0,1) does not lie in region if second inequality,

The point (6,0) does not lie in the rigion. So third inequality is,

So possible three inequalities are,

Answer:

he has 8 counters.

Step-by-step explanation:

3+5=8

Answer:

8

Step-by-step explanation:

5+3= 8

Answer:

it is wonderful short-story reading experience./ a collection of short stories.

Answer:

a collection of short stories

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The expression given is 3c + 5d and the expression when c = 24 and d =25 will be 197.

It should be noted that an expression is simply used to illustrate the relationship between the variables.

In this case, the expression given is 3c + 5d.

Therefore, the expression given is 3c + 5d and the expression when c = 24 and d =25 will be:

= 3c + 5d

= 3(24) + 5(25)

= 72 + 125

= 197

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Complete question:

The expression given is 3c + 5d. Evaluate the expression when c = 24 and d =25.

Answer:

18 ft

Step-by-step explanation:

An exponential function can be expressed as:

When the domain is substituted, the Range of the function will be

7 ≤ y < ∞

The range of a function is the the spread of minimum value of the function to maximum value. We can find the range by substituting different domains into the function.

Given a function  f(x) = |x| + 7

This |x| show that it is a modulus. That is, the domain will always be positive numerals.

The minimum domain = 0, so the minimum f(x) = 0 + 7 = 7

The maximum domain = ∞, so the maximum f(x) = ∞ + 7 = ∞

y = f(x)

Therefore, the range of of the function f(x) = |x| + 7 will be 7 ≤ y < ∞

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Step-by-step explanation:

Mark as brainlest plz?

Answer: is A

Step-by-step explanation:

There will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

To calculate the amount in Nathan's daughter's RESP after 25 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (amount in the account after 25 years)

P = Principal amount (amount deposited every 2 months)

r = Annual interest rate (in decimal form)

n = Number of times the interest is compounded per year

t = Number of years

In this case, Nathan deposits $940 every 2 months, so the principal amount (P) is $940. The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 25.

Since Nathan deposits every 2 months, we need to calculate the total number of deposits made over 25 years. There are 12 months in a year, so in 25 years, there will be 25 * 12 = 300 months. However, since Nathan deposits every 2 months, the number of deposits (m) is 300 / 2 = 150.

Now, we can substitute these values into the formula:

A = 940(1 + 0.0399/4)^(4*25)

Calculating the exponent first:

(1 + 0.0399/4)^(4*25) ≈ 2.703236

Now, substituting the calculated exponent and the number of deposits into the formula:

A = 940 * 2.703236 * 150 ≈ $594,311.34

Therefore, there will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

It's important to note that this calculation assumes Nathan makes the same $940 deposit every 2 months consistently over the 25-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.

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The third number so that the three numbers form a right triangle,

1)40

2)84

Therefore, we can form a right triangle with 9,41,40 and 13,85,84

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

1) By applying Pythagorean theorem,

a²+b²=c²

x²+9²=41²

x²=41²-9²

x²=1681-81

x²=1600

x=√1600

x=40

Therefore, the third number is 40

2) x²+13²=85²

x²=85²-13²

x²=7225-169

x²=7056

x=√7056

x=84

Therefore, the third number is 84

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To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

Answer:

21 ft. long

Step-by-step explanation:

28/x = 8/6

Cross Multiply:

8x=168

Divide Both Sides:

8x÷8=x

168÷8=21

So...

x=21

The palm tree is 21 feet long :)

Answer:

$25, $30

Step-by-step explanation:

3 hours costs $25

Between 3 and 4 hours costs $30

30

Substituting x as 10:

3(10) + 6 - 10 + 4

30 + 6 - 10 + 4

30

Answer:

30 is the answer

Step-by-step explanation:

3x + 6-x + 4

3(10) + 6 -10 + 4

30 + -4 + 4

30 + 0

=30

The surface area of the given pyramid is 64 square inches.

A pyramid is a three-dimensional geometric form with a triangle for its face and a polygon for its base. The vertex or apex is the place where the three triangle side faces all come together. The perpendicular distance from the pyramid's peak to the centre of the base is known as the altitude or height of the structure. Although slant height is a measurement of the perpendicular drawn from the apex of a triangle to the base of the side face.

The surface area of the square pyramid is given by:

SA = 2bs + b(b)

Substituting the values we have:

SA = 2(4)(6) + (4)(4)

SA = 64 square units.

Hence, the surface area of the given pyramid is 64 square inches.

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Answer:

3a/6b

Step-by-step explanation:

-5a/18b cannot be simplified. Therefore, 3a/6b and -5a/18b are not the same.

3a/6b can be simplified. Both the denominator and the numerator can be divided by 2. Therefore, the fraction will be a/2b. a/2b is equal to a/2b so 3a/6b is the correct answer.

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Answer:

B

Step-by-step explanation:

a*3=3a

2b*3=6b

The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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Answer:

B C D

Step-by-step explanation:

i did the assignment

Answer:

rectangle, triangle,trapezoid

Step-by-step explanation:

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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