To be honest, everything!

9514 1404 393

Answer:

  28

Step-by-step explanation:

Let x represent the even number between them. Then the desired sum is 2x.

The given relation is ...

  7(x -1) = 1 +6(x +1)

  x = 14 . . . . . . . add 7-6x

 2x = 28 = sum of those numbers

__

The two numbers are 13 and 15.

Answer:

7y^2

Step-by-step explanation:

Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle. The height from the ground to the top of the ramp 6. 0 ft. Option D is correct.

Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.

It indicates that the area of the hypotenuse square is equal to the sum of the areas of the squares on the other two sides.

The given data in the problem will be;

L is the length of ramp=  10 feet

x is the horizontal distance from the bottom of the ramp = 8 feet

h is the height from the ground to the top of the ramp=?

According to Pythagoras theorem,

\(\rm H^2=P^2+B^2 \\\\ \rm l^2=h^2+X^2 \\\\ \rm 10^2=h^2+8^2 \\\\ \rm h=\sqrt{100-64 } \\\\ \rm h=36 \\\\ \rm h=6 ft\)

Hence the height from the ground to the top of the ramp 6. 0 ft. Option D is correct.

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Therefore, the level of production that yields the maximum profit is 80 and maximum profit is $5400.

To find the level of production that yields the maximum profit, we need to determine the x-value at which the profit function P(x) reaches its maximum. We can do this by finding the vertex of the quadratic function P(x).

The profit function is given by \(P(x) = 160x - x^2 - 1000.\)

To find the x-value of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic function in the form \(ax^2 + bx + c.\)

In this case, the quadratic function is \(-x^2 + 160x - 1000\), so a = -1 and b = 160.

Substituting the values into the formula, we have:

x = -160 / (2*(-1))

x = -160 / -2

x = 80

To find the maximum profit, we substitute this value of x back into the profit function:

\(P(80) = 160(80) - (80)^2 - 1000\)

P(80) = 12800 - 6400 - 1000

P(80) = 6400 - 1000

P(80) = 5400

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The number of solutions which the equation y = -2x² -7x + 5 has as required in the task content is; 2.

As evident in the task content; the number of solutions which the given equation has is to be determined.

Since the given equation; y = -2x² -7x + 5 is a quadratic equation.

It follows that the number of solutions which the equation has is two.

PS; Quadratic equations are polynomials with degree 2 and hence, have two solutions.

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Answer:

The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon.

Step-by-step explanation:

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The formula when solved for h will be equal to A/4b.

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and non-negative exponentiation of variables involved.

A.)

For the given octagon, if its diagonals are made then it will be divided into 8 triangles, such that each triangle will be equal to the other.

Now, if the area of a single triangle is calculated then the area of the triangle will be,

Area of triangle = (1/2) × b × h

Further, since there are 8 triangles, therefore, the area of the octagon can be written as,

Area of octagon = Area of triangle × 8

                           = (1/2) × b × h × 8

                           = 4bh

Hence, the area of the octagon is 4bh.

B.)

The formula can be solved for h as shown below,

Area of octagon = 4bh

A = 4bh

Divide both the sides by 4b, therefore, we can write,

A/4b = 4bh/4h

h = A/4b

Hence, the formula when solved for h will be equal to A/4b.

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Answer:

The diameter of the floor is 6 yards

Step-by-step explanation:

Here, we are to calculate the diameter of a circular floor that has a circumference of 18.84 yards

Mathematically,

C = π * D

where C is the circumference

Plugging the values of the circumference , we have ;

18.84 = 22/7 * D

7 * 18.84 = 22D

D = (7* 18.84)/22 = 5.99 which is approximately 6 yards

Answer:

The new angles are in color

The correct answer A. Extrapolating beyond the range of model-building data.

The given scenario exemplifies extrapolation, which involves making predictions or estimates beyond the range of the data used to build a regression model. In this case, the regression model is developed using the National Health Survey data on adult women's heights and weights.

However, the model does not include any data points for women who weigh 430 pounds. By using the best fit regression line, the estimate of 9.92 feet tall for a woman weighing 430 pounds is an extrapolation beyond the available data.

Extrapolation carries risks because it assumes that the relationship observed within the range of the data remains consistent outside that range.

However, this assumption may not hold true, and the relationship between height and weight may change for individuals in the extreme weight range. Consequently, relying on the estimated height for a woman weighing 430 pounds could lead to inaccurate or unreliable results.

To make more reliable predictions, it is generally recommended to restrict predictions within the range of the data used for model-building. Extrapolation should be done cautiously, considering potential variations or factors that may affect the relationship beyond the observed data range.

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Answer:

1.) x = 30

2.) y = 15

Step-by-step explanation:

(3x - 40)° and (2x - 10)° are vertical angles, so they will always be the same

1.) 30

3x - 40 = 2x - 10

3x - 2x = 40 - 10

x = 30

2.) 15

(6y - 10)° + (6y + 10)° = 180°

6y + 6y + 10 - 10 = 180

12y = 180

12y/12 = 180/12

y = 15

Answer:

stop telling people to do your homework on canvas!

Step-by-step explanation:

The probability that none of the ten freshmen graduates from the local community college is approximately 0.006 or 0.6%.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

Assuming that the probability of each freshman graduating is independent of the others, the probability that none of the ten freshmen graduates is -

\(P = (0.6)^{10}\)

= 0.0060466176

Here, we are using the fact that the probability of a freshman not graduating is 1 - 0.4 = 0.6.

So, the probability value is obtained as 0.006 or 0.6%.

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Answer:

B should be 12 since 63,66/5,25 is approx. 12,12

What are the options for the dropdowns so I can make sense of it ?

Step-by-step explanation:

Answer:

Yes it is possible

Step-by-step explanation:

Given

\(n = 20\)

\(x= 7\) --- correct

\(y = -4\) --- wrong

\(z = 0\) --- empty answer

Required

Is a total of -11 possible?

To do this, we apply trial by error method.

After so many approaches, I found the following solution

\(x \to 3\) -- Got 3 correctly

\(y \to 8\) --- Failed 8

\(z \to 9\) ---- Didn't answer 9

The above will give a score of -11.

We have:

\(3x+8y+9z\)

\(3x+8y+9z = 3 * 7 + 8 * -4 + 9 * 0\)

\(3x+8y+9z = 21-32 + 0\)

\(3x+8y+9z = -11\)

Hence, a score of -11 is possible

Answer:

the third one -1/2

Step-by-step explanation:

hxudcufj ydhvhdcudfib

Steps to solve:

m - 2/6 < -1

~Add 2/6 to both sides

m < -4/6

Best of Luck!

Answer:

x  |  y

3  |  0

4  |  1

5  |  2

6  |  3

Step-by-step explanation:

Answer:3x • (2x2 - 3)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  3 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 ((3•(x3))+(4•(x2)))+(((3•(x3))-22x2)-9x)

STEP  

2

:

Equation at the end of step

2

:

 ((3•(x3))+(4•(x2)))+((3x3-22x2)-9x)

STEP  

3

:

Equation at the end of step

3

:

 ((3 • (x3)) +  22x2) +  (3x3 - 4x2 - 9x)

STEP  

4

:

Equation at the end of step

4

:

 (3x3 +  22x2) +  (3x3 - 4x2 - 9x)

STEP

5

:

STEP

6

:

Pulling out like terms

6.1     Pull out like factors :

  6x3 - 9x  =   3x • (2x2 - 3)  

Trying to factor as a Difference of Squares:

6.2      Factoring:  2x2 - 3  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  2  is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

 3x • (2x2 - 3)

If anyone wants to be a mathematics teacher there are certain life norms and motivational goals related to their profession.

A scholarship can greatly support individuals pursuing a career as a mathematics teacher in the following ways:

In short, a scholarship can be instrumental in helping aspiring mathematics teachers overcome financial barriers, access professional development resources, gain recognition, and build a strong foundation for their teaching careers.

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Answer:

3.5 gallons of punch

Step-by-step explanation:

There are 4 quarts in 1 gallon.

Set up equation to convert 14 quarts to gallons: 14÷4 = 3.5.

Elijah made 3.5 gallons of punch.

The researcher will need 25 participants to obtain 20 measurements within each of the 25 conditions in this within-subject design.

To determine the number of participants needed for a within-subject design with 25 conditions and 20 measurements within each condition, we need to consider the concept of counterbalancing. Counterbalancing involves systematically varying the order of conditions across participants to account for potential order effects.

In this case, each participant will need to complete all 25 conditions, with 20 measurements within each condition. Therefore, we can calculate the total number of measurements per participant:

Total measurements per participant = Number of conditions × Number of measurements per condition

Total measurements per participant = 25 × 20

Total measurements per participant = 500

To determine the number of participants needed, we divide the total number of measurements by the number of measurements per participant:

Number of participants = Total measurements / Measurements per participant

Number of participants = 500 / 20

Number of participants = 25

Therefore, the researcher will need 25 participants to obtain 20 measurements within each of the 25 conditions in this within-subject design.

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The number of times both services left the interchange together from 9am to 12 noon is 0.

Let's call the number of 15-minute intervals that have passed since 9 am "t".

So, the time that bus number 801 leaves the interchange after t intervals is 9am + 15t minutes.

Similarly, the time that bus number 802 leaves the interchange after t intervals is 9 am + 20t minutes.

For both services to leave the interchange at the same time, the number of 15-minute intervals that have passed since 9 am must be the same for both buses.

In other words, 15t must equal 20t.

Dividing both sides of this equation by 5, we get 3t = 4t.

This equation has no solution, which means that bus number 801 and bus number 802 never leave the interchange at the same time from 9am to 12 noon.

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Answer: To find the ordered pair that is a solution of the equation y = 4x - 7, we need to substitute the values of x and y into the equation and see if it is true.

If (x, y) is a solution, then y = 4x - 7 must be true for that particular x and y.

Option A: (2, 1)

Substituting x = 2 and y = 1 into the equation, we get:

1 = 4 * 2 - 7

1 = 8 - 7

1 = 1

Since the equation is true for x = 2 and y = 1, (2, 1) is not a solution of the equation.

Option B: (4, 9)

Substituting x = 4 and y = 9 into the equation, we get:

9 = 4 * 4 - 7

9 = 16 - 7

9 = 9

Since the equation is true for x = 4 and y = 9, (4, 9) is a solution of the equation.

Option C: Both (2, 10) and (4, 9)

Substituting x = 2 and y = 10 into the equation, we get:

10 = 4 * 2 - 7

10 = 8 - 7

10 = 3

Since the equation is not true for x = 2 and y = 10, (2, 10) is not a solution of the equation.

So, the only ordered pair that is a solution of the equation y = 4x - 7 is (4, 9). The answer is B) only (4, 9).

Step-by-step explanation:

Let's take this problem step by step:

To find the ordered pair of the system:

⇒ must set both equations equal to each other

    ⇒ and solve for 'x'

Let's solve:

 \(x^2-2x+3=-2x+19\\x^2-2x+2x+3-19=0\\x^2-16=0\\(x+4)(x-4)=0\)

Let's find the x-values:

   \((x-4)=0\\x=4\\\\(x+4)=0\\x=-4\)

Let's find f(x)'s value for each 'x':

 \(x=4\\f(4)=-2(4)+19=-8+19=11\\\\x=-4\\f(-4)=-2(-4)+19=8+19=27\)

Answer: (4, 11), (-4,27)

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The smallest possible value of n is 20 that is minium 20 people's can seated according to given condition on a circlar table which has 60 chairs for sitting .

We have given that

total avaliabile chair on circular table = 60

let number of seating persons be N .

"If every third seat is occupied, filling 20 seats, then every unoccupied seat has a person seating next to it, so N could be 20. To see that N must be at least 20, note that any seating which satisfies the conditions cannot contain a gap of more than 2 unoccupied seats between any occupied seats. If we regard adjacent occupied seats as having a gap of 0 between them, every seating of N people contains N gaps, all of which must be less than 2. Thus N+2N = 3N is at least as big as the sum of N and all the which is 60, therefore 3N ≥ 60 and N ≥ 20.

Hence, smallest possible value of N is 20.

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Answer:

2y=5x+2c

Step-by-step explanation:

By completing squares we will get:

y = (x - 5)^2 - 16

Then the minimum of the quadratic is at y = -16.

Remember the perfect square trinomial:

(a + b)^2 = a^2 + 2ab + b^2

Here we have the quadratic:

y = x^2 - 10x + 9

We can rewrite that to get:

y = x^2 - 2*5*x + 9

Add and subtract 5^2 in both sides:

y + 5^2 = x^2 - 2*5*x + 5^2 + 9

Now we can complete squares:

y + 25 = (x - 5)^2 + 9

y = (x - 5)^2 + 9 - 25

y = (x - 5)^2 - 16

Then the vertex is at the point (5, -16), and thus the minimum is y = -16.

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Answer:

\((5, -16)\)

Step-by-step explanation:

1.) \(y=x^2\) \(-10x+9\)

2.) \(y=x^2\) \(-10x+25+9-25\)

3.) \(y=x^2-10x+25 -16\)

4.) \(y=(x-5)^2-16\)

Therefore, the minimum point Is \((5, -16)\)