what are the prime factors of 7436439​

Answer:

6.8

Step-by-step explanation:

We want the maximun or minimum of \(g(x)=-4x^2+4x-2\)

Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.

To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:

\(g'(x)=-8x+4\)

To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have

\(0 = -8x+4\\8x=4\\x=\frac{1}{2}\)

So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.

\(g(1/2)=-4(1/2)^2+4(1/2)-2\\g(1/2)=-1+2-2\\g(1/2) = -1\)

Therefore, the maximum point \(M\) of the function is

\(\boxed{M=(0.5,-1)}\)

 Glad to help! Wish you great studies.

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Answer:

2/3 x 45 < 4/5 x 45

Step-by-step explanation:

Rearrange from smallest to largest:

2/3 x 45 < 4/5 x 45

I hope this helps!

Answer:

Step-by-step explanation:

Solution:

We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).

The GCF of 305 and 60 is 5.

Divide both terms by 5.

305 ÷ 5 = 61

60 ÷ 5 = 12

Therefore:

305 : 60 = 61 : 12

The meaning of the absolute value in this problem is given as follows:

The temperature decreased 1.2 degrees.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

The number for this problem is -1.2, hence:

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Answer:

The answer is 75,474

Step-by-step explanation:

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

SOLUTION:

A simple sketch will help;

We can use the sine rule to solve for the angle B;

Thus;

The polynomial with given roots is,  

y(x) = x^4 - 9x^3 + 17.53x^2 + 7.164x - 6.902.

What is factor of polynomial?

In mathematics and computer algebra, factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.

Given:

The polynomial y(x) that has roots at x = -0.7, x = 0.5, x = 3.4 and x = 5.8.

Since if 'a' is a root of the polynomial then (x - a) is the factor of the polynomial.

So, the factors of the polynomial are, (x + 0.7), (x - 0.5), (x - 3.4), (x - 5.8).

⇒ y(x) = (x + 0.7)(x - 0.5)(x - 3.4)(x - 5.8)

          = (x^2 - 0.5x + 0.7x - 0.35)(x^2 - 5.8x - 3.4x + 19.72)

          = (x^2 + 0.2x - 0.35)(x^2 - 9.2x + 19.72)

   y(x) = x^4 - 9x^3 + 17.53x^2 + 7.164x - 6.902

The graph of the polynomial on the domain -1 ≤ x ≤ 6 is attached below.

Hence, the polynomial with given roots is,  

y(x) = x^4 - 9x^3 + 17.53x^2 + 7.164x - 6.902.

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The number of each type of room reserved is given as follows:

The situation is modeled by a system of equations, for which the variables are given as follows:

Xin booked a total of 20 rooms, hence:

x + y = 20.

In total, 48 guests were accommodated, hence:

2x + 3y = 48.

The solution of the system of equations is given by the point of intersection of the lines x + y = 20 and 2x + 3y = 48, hence it is given as follows:

(12,8).

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The volume of grains stored in Adam's family farm in m³ is 14.374m³.

What is meant by volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. Knowing an object's volume can help us figure out how much a substance is needed to fill it, such as how much water is needed to fill a bottle. Cubic units are used to quantify a solid's volume. Volume is another word for capacity.

Given,

 The volume of grains stored in the farm = 18.8 yards³

It is given that 1 yard = 0.9144 m

We are asked to find the above volume of grains from yards³ to m³

if

1 yard = 0.9144 m

1 yard³ = 0.9144 m * 0.9144 m * 0.9144 m

18.8 yards³ = 18.8 * 0.9144*0.9144*0.9144 = 14.374 m³

Therefore the volume of grains stored in the farm in m³ is 14.374m³.

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Answer:

You should expect to be making $55,716.14 in 6 years.

Step-by-step explanation:

Your earnings after t years is given by the following equation:

\(E(t) = E(0)(1 + r)^{t}\)

In which E(0) is how much you earn on the current year and r is the increase rate, as a decimal.

$3200 per month currently:

A year has 12 months. So

\(E(0) = 12*3200 = 38400\)

You expect your earnings to increase by 6.4% per year

So \(r = 0.064\)

Then

\(E(t) = E(0)(1 + r)^{t}\)

\(E(t) = 38400(1 + 0.064)^{t}\)

\(E(t) = 38400(1.064)^{t}\)

How much do you think you will be making in 6 years?

This is E(6).

\(E(t) = 38400(1.064)^{t}\)

\(E(6) = 38400(1.064)^{6} = 55716.14\)

You should expect to be making $55,716.14 in 6 years.

Answer:

ei mulher tu é br é??????????????????????????????

Step-by-step explanation:

The experimental probability of the next balloon sold being green is 4/15.

Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.

According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:

20 + 17 + 12 + 19 + 7 = 75

Now we can use these numbers to calculate the experimental probability of a green balloon being sold:

Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold

Experimental probability of a green balloon being sold = 20 / 75

Experimental probability of a green balloon being sold = 4/15

This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.

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Answer:

4/15

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

because some have factors...are dividable e.g.=9..

9= 3 x 3

Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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Answer:

\(\frac{1}{5}\)

Step-by-step explanation:

Consider the curve \(y=3x^2-5x\)

Differentiate with respect to \(x\)

\(\frac{dy}{dx} =3(2x)-5=6x-5\)

( Use \(\frac{d}{dx}(x^n)=nx^{n-1}\) )

Slope of normal curve is given by \(\frac{-1}{\frac{dy}{dx} }\)

Slope of normal curve = \(\frac{-1}{6x-5}\)

To find slope of normal curve at point \((0,0)\) ,put \(x=0\) in \(\frac{-1}{6x-5}\)

Slope of normal curve at point \((0,0)\) = \(\frac{-1}{6(0)-5} =\frac{-1}{-5}=\frac{1}{5}\)

Answer:

No

97/1000 is the same as 97 divided by 1000

the decimal would be .097, not .97

Answer:

Blue Star

a.                                   The Ford TriVan   The Honda CityVan

Total life-cycle costs          $94,368                $90,936

Based on life cycle cost, the Honda CityVan is the best choice.

b. Blue Star needs to put on the Ford TriVan 9,032 miles more for the cost to be equal with the Honda CityVan's.

c. The crossover point in years = 5 months

Step-by-step explanation:

a) Data and Calculations:

                                        The Ford TriVan   The Honda CityVan

Purchase costs                  $28,000                 $32,000

Fuel efficiency per gallon   24 miles                 37 miles

Operating cost per mile     $0.20                     $0.22

Total operating costs         $4,400                   $4,840

Estimated annual distance 22,000 miles        22,000 miles

Gallons of fuel consumed  916.7 (22,000/24) 594.6 (22,000/37)

Total cost of fuel                 $3,896                  $2,527

Fuel cost per mile              $0.18                      $0.115

Total cost per mile             $0.38                     $0.335

Expected life of truck         8 years                   8 years

Average gas price = $4.25 per gallon

Total costs:

                                        The Ford TriVan   The Honda CityVan

Annual costs:

Total operating costs         $4,400                   $4,840

Total cost of fuel                $3,896                   $2,527

Annual costs                      $8,296                   $7,367

Life cycle costs:

Annual costs for 8 years   $66,368                $58,936

Purchase costs                  $28,000                $32,000

Total life-cycle costs          $94,368                $90,936

Difference in costs between Ford TriVan and Honda CityVan = $3,432 ($94,368 - $90,936)

Miles to put on the Ford TriVan for the life cycle cost to be equal to the life cycle cost of the Honda CityVan

= Difference in costs divided by total cost per mile of the Ford TriVan

= 9,032 miles ($3,432/$0.38)

Annual distance = 22,000 miles

Monthly distance = 1,833 miles

9,032/1,833 = 4.93 months or 5 months approximately

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

I think height is the answer

The mean of the sampling distribution (p) and The standard error of the mean (o)  are 56 and 2 respectively.

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

(a) The mean of the sampling distribution (p) is equal to the population mean, which is 56.

(b) The standard error of the mean (o) is calculated as the standard deviation of the population divided by the square root of the sample size. So for a sample of 36 participants:

o = 12 / √36 = 2

(c) The distribution of the sample means (p) will be approximately normal with a mean of 56 and a standard deviation of 2. To sketch this distribution with M ± 3 SEM, we would plot a normal distribution with mean 56 and standard deviation 2, and shade the region that is 3 standard errors away from the mean on either side.

This region would capture approximately 99.7% of the data if the samples were selected randomly and independently from the population.

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The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.

To find the z-scores, we need to use the formula:

z = (x - μ) / σ

where:

z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.

Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:

z = (39 - 34) / 5

z = 5 / 5

z = 1

So, the z-score for the raw score of 39 is 1.For a raw score of 30:

z = (30 - 34) / 5

z = -4 / 5

z = -0.8

The z-score for the raw score of 30 is -0.8.

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Answer:

Step-by-step explanation:

The curve crosses the x axis (has zeros) at -1 and -4

Therefore it has factors of (x + 1) and (x + 4) and possibly a constant factor C

y = C(x + 1)(x + 4)

plug in the known y intercept

16 = C(0 + 1)(0 + 4)

16 = 4C

C = 4

as they are looking for two factors and one is give as (x + 1), the other must be C(x + 4) = 4(x + 4) = 4x + 16

Answer:

y=-x-3

Step-by-step explanation:

Answer: You can multiply 5 x 10 which means he has 50 berries

Answer:

32 = a*2 +b

64 = a*3 + b

Then 32 = a

32 = 32*2 +b

b = - 32

So

Y = 32a - 32

Is the equation