What is the place value of 2 in 369.425

The quadratic equation can be written as follows:

y = 5(x - 3)² + 50.

The quadratic function in the context of this problem is defined as follows:

y = 5x² - 30x + 95

The coefficients of the quadratic function are given as follows:

a = 5, b = -30 and c = 95.

Then the x-coordinate of the vertex is given as follows:

h = -b/2a

h = 30/10

h = 3.

The y-coordinate of the vertex is given as follows:

h = 5(3)² - 30(3) + 95

h = 50.

Hence the equation is:

y = 5(x - 3)² + 50.

The quadratic function in the context of this problem is defined as follows:

y = 5x² - 30x + 95

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The value of x in the circle is,

⇒ x = 25.6

We have to given that;

An angle is, 23 degree

Hence, We can formulate;

(14x - 22) + 23 = 360

14x + 1 = 360

14x = 359

x = 25.6

Thus, The value of x in the circle is,

⇒ x = 25.6\

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Answer:

Step-by-step explanation:

Let's check if we can express it or not ;

Let the two consecutive number be x and x + 1 .

x + x + 1  =  1012

2x + 1 = 1012

2x = 1011

x = 505.5

Then two consecutive numbers are 505.5 and 506.5

It isn't said that number should be integer ? It can be anything . That is why " yes " would be the correct answer .

The reduced row echelon form of the matrix is given as follows:

[tex]\left[\begin{array}{cccc}-1&0&0&8\\0&1&0&-2\\0&0&1&-6\end{array}\right][/tex]

The reduced row echelon form of a matrix is matrix in which the matrix except the last column has the format of an identity matrix, that is, a matrix in which the principal diagonal elements are of 1 and the rest of the elements are of 0.

Hence we can use a mix of row operations, along with the solution of a system of equations, to obtain the reduced row echelon form of a matrix.

The matrix in the context of this problem is defined as follows:

[tex]\left[\begin{array}{cccc}-1&5&-3&6\\0&3&6&-42\\0&-6&-1&18\end{array}\right][/tex]

First we want a value of 1 at line 1, column 1, hence we multiply the first line by -1, that is:

R1 -> -R1.

Hence:

[tex]\left[\begin{array}{cccc}1&-5&3&-6\\0&3&6&-42\\0&-6&-1&18\end{array}\right][/tex]

Then we want a value of 1 at line 2 column 2, thus:

R2 -> R2/3.

Hence:

[tex]\left[\begin{array}{cccc}1&-5&3&-6\\0&1&2&-14\\0&-6&-1&18\end{array}\right][/tex]

Then we want a value of 0 at line 3, column 2, hence:

L3 -> L3 + 6L2

[tex]\left[\begin{array}{cccc}1&-5&3&-6\\0&1&2&-14\\0&0&11&-66\end{array}\right][/tex]

Then the solution to the system of equations is given as follows:

Hence the row echelon form of the matrix is given as follows:

[tex]\left[\begin{array}{cccc}-1&0&0&8\\0&1&0&-2\\0&0&1&-6\end{array}\right][/tex]

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The inequality that of the number line is x < 8

From the question, we have the following parameters that can be used in our computation:

The number line (see attachment)

On the number line, we have the following

The above means that we make use of the less than symbol

This is because the open circle uses < or > while arrows pointing left means <

So, we have

x < 8

Hence. the inequality that best describes the included values of x is x < 8

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The correct answer is B. Wages will increase.

When the Long-Run Aggregate Supply (LRAS) curve begins to slope upward in the second phase, it indicates that as the economy moves towards full employment and productive capacity, wages will increase.

The upward slope of the LRAS curve suggests that as the economy expands and approaches its maximum potential output, the demand for labor increases, leading to higher wages.

This is because firms need to pay higher wages to attract and retain workers in a tightening labor market, where the supply of labor becomes relatively scarce compared to the demand.

The right answer is B. Wages will increase.

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Answer:

Step-by-step explanation:

To find the median we first need to arrange the data points from smallest to largest:-

[tex]\sf 12, 13, 16, 5, 8, 18, 14, 19, 2[/tex]

Arranged:- 2, 5, 8, 12, 13, 14, 16, 18, 19.

Now, if the  number of data points is even, the median is the average of the two middle data points in the list. Since the numbers are odd, the median is the middle data point. which, in this case, it's 13.

2, 5, 8, 12, 13, 14, 16, 18, 19

______________________

Hope this helps!

Answer:

There are 12 ways to choose the first player, 11 ways to choose the second player, and 10 ways to choose the third player. However, this counts each group of 3 players 3 times, since the order in which the players are chosen doesn't matter. Therefore, the number of ways to choose 3 players from 12 is  

3×2×1

12×11×10

​

=220.

Step-by-step explanation:

Answer:

P(dog) = 12/30 = 0.4 or 40%

Step-by-step explanation:

We can use the formula for probability:

P(dog) = number of students with a dog / total number of students

To find the number of students with a dog, we can use the fact that 19 students have a dog and 6 students have neither a cat nor a dog:

number of students with a dog = total number of students - number of students with no pets - number of students with only a cat

number of students with a dog = 30 - 6 - 12 = 12

So the probability that a student chosen randomly from the class has a dog is:

P(dog) = 12/30 = 0.4 or 40%

The expression in algebraic notation is 3 * (k - p²)

From the question, we have the following parameters that can be used in our computation:

Three times the difference between k and the square of p​

Three times means 3*

So, we have

3 * the difference between k and the square of p​

the difference between k and the square of p​ means

k - p²

So, we have

3 * (k - p²)

So, we can conclude that

The expression"Three times the difference between k and the square of p​" in algebraic notation is 3 * (k - p²)

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Answer:

D

Step-by-step explanation:

By completing the flexible budget performance report, Milano Pizza's owner can identify areas for improvement and make informed decisions to optimize the pizzeria's performance.

The flexible budget performance report for Milano Pizza for November will include revenue and spending variances, as well as activity variances. The two major cost drivers are the number of pizzas sold and the number of deliveries made.

1. Revenue variances: Calculate the difference between the actual revenue and the budgeted revenue for both in-store dining and delivery services. Label the variances as "F" for favorable (actual revenue higher than budgeted) or "U" for unfavorable (actual revenue lower than budgeted).

2. Spending variances: Analyze the costs related to pizza production and delivery person wages. Compare the actual costs to the budgeted costs, and label the variances as "F" for favorable (actual costs lower than budgeted) or "U" for unfavorable (actual costs higher than budgeted).

3. Activity variances: Assess the differences in the number of pizzas sold and deliveries made compared to the budgeted activity levels. Label these variances as "F" for favorable (higher activity than budgeted), "U" for unfavorable (lower activity than budgeted), or "None" for no effect (zero variance).

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The cost each of one of the bag of windflower bulbs and one package of crocus bulbs is $14 and $16 respectively.

Let

cost each of one of the bag of windflower bulbs = x

Cost of each one package of crocus bulbs = y

4x + 9y = 200

2x + 6y = 124

Multiply (2) by 2

4x + 12y = 148

So,

4x + 9y = 200

4x + 12y = 248

Subtract to eliminate x

12y - 9y = 248 - 200

3y = 48

divide both sides by 3

y = 48/3

y = 16

Substitute y = 16 into (1)

4x + 9y = 200

4x + 9(16) = 200

4x + 144 = 200

4x = 200 - 144

4x = 56

x = 56/4

x = 14

Therefore, each one bag of windflower bulbs and one package of crocus bulbs is $14 and $16 respectively.

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Answer:

----------------------

Martin has 1/4 of a bag of chocolate chip cookies.

Since the bag weights 4 pounds, Martin has:

Answer: 32.493 maybe, dont quite understand the question

Step-by-step explanation:

The family's monthly payment should be $504.70.

We can use the following formula:

[tex]P = (r * A) / (1 - (1 + r)^(-n))[/tex]

where

In this instance, the total loan amount is $43,008, the total number of payments is 9 years * 12 months/year = 108 months . The yearly interest rate must first be divided by 12 to determine the monthly interest rate. Assume that there is a 5% yearly interest rate.

[tex]r = 0.05 / 12 = 0.00417[/tex]

Now we can substitute the values into the formula and solve for P:

[tex]P = (0.00417 * $43,008) / (1 - (1 + 0.00417)^(-108))[/tex]

= $504.70

Therefore, the family's monthly payment should be $504.70.

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The area is 96 square inches.

Answer:

64[tex]ft^{2}[/tex]

Step-by-step explanation:

Calculate the (lateral) faces that need to be stained.
[tex]a = lw[/tex]
Assuming that you have to stain all four sides and not just the facade, find the surface area of each face and then find the sum. That sum will be your answer.
Apply the formula given above.
4*4 = 16
the area of one face is 16[tex]ft^{2}[/tex]
multiply 16 by 4 = 64

Answer:

n = 5

Step-by-step explanation:

Step 1:  Multiply both sides by 3 (i.e., the least common multiple of 3) to clear the fractions:

3(n - 4/3 = 11/3)

3n -12/3 = 33/3

3n - 4 = 11

Step 2:  Add 4 to both sides:

(3n - 4 = 11) + 4

3n = 15

Step 3:  Divide both sides by 3 to solve for n:

(3n = 15) / 3

n = 5

Answer:

1.25

Step-by-step explanation:

Convert 1-half to a decimal by dividing 1 by 2:

1 ÷ 2 = 0.5

Add the two decimals:

0.5 + 0.75 = 1.25

Therefore, the sum of 1-half and 0.75 is 1.25.

Triangle A''B''C'' is given by the image presented at the end of the answer.

The five more known rotation rules are given as follows:

The coordinates of triangle ABC are given as follows:

A(-5, 2), B(-3, 6), C(-1, 3).

Hence the coordinates after the rotation 90º clockwise are given as follows:

A'(2, 5), B'(6, 3), C'(3, 1).

y = 2 is an horizontal line, hence after the reflection, the x-coordinates remain constant, while the y-coordinates move in the opposite direction, hence:

A''(2, -1), B''(6,1), C''(3,3).

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Answer:

  85 1/3 cubic units

Step-by-step explanation:

You want the volume of a solid whose base is the ellipse in the x-y plane with axes 16 and 8 units and whose cross sections perpendicular to the major axis are isosceles triangles with height equal to 1/4 of the cross section dimension parallel to the minor axis.

The isosceles triangle cross section has base 2y and height (2y)/4, so area of ...

  A = 1/2bh

  A = (1/2)(2y)(2y/4) = y²/2

A differential of volume is the product of the area of a slice and its thickness:

  dV = A·dx = (1/2)y²·dx

The total volume is the integral of this differential of volume over the interval x ∈ [-8, 8]. That integral will be twice the integral on the interval [0, 8}, so we have ...

  [tex]\displaystyle V=2\int_0^8{\dfrac{y^2}{2}}\,dx=16\int_0^8{\left(1-\dfrac{x^2}{64}\right)}\,dx=16\left((8-0)-\dfrac{8^3-0^3}{3\cdot64}\right)\\\\\boxed{V=85\dfrac{1}{3}\text{ cubic units}}[/tex]

__

Alternate computation

The volume of half an ellipsoid with semi-axes 2, 4, and 8 is ...

  V = (1/2)(4/3)π(abc)

  V = (1/2)(4/3)π(2)(4)(8) = 128π/3

The area of half an ellipse with semi-axes 2 and 4 is ...

  A = (1/2)π(ab)

  A = (1/2)π(2)(4) = 4π

The area of a triangle with the same semi-axes is ...

  A = 1/2bh = (1/2)(2)(2·4) = 8

Then the ratio of triangle area to ellipse area at each cross section is ...

  triangle / ellipse = 8/(4π) = 2/π

The volume of the solid of interest is estimated to be this factor multiplied by the volume of the half-ellipsoid:

  (2/π)(128π/3) = 256/3 = 85 1/3 . . . . same as above

Answer:

A. 6

Step-by-step explanation:

We know that 12% can be written in fraction form as [tex]\frac{12}{100}[/tex]. So, 12% of 100 is [tex]100\cdot\frac{12}{100} = 12[/tex].

We also know that 50 is half of 100. Therefore, 12% of 50 is exactly half of 12% of 100:

[tex]12\% \cdot 50[/tex]

[tex]= \frac{1}{2}(12\% \cdot 100)[/tex]

[tex]= \frac{1}{2}(12)[/tex]

[tex]\boxed{=6}[/tex]

The value of the cosine of angle B is,

⇒ cos B = 5 √89 / 89

We have to given that;

A triangle is shown in image.

Now, By trigonometry formula we get;

⇒ cos B = Base / Hypotenuse

Here, We can find the c as;

c² = 8² + 5²

c² = 64 + 25

c² = 89

c = √89

Hence, The value of the cosine of angle B is,

⇒ cos B = Base / Hypotenuse

⇒ cos B = 5 / √89

⇒ cos B = 5 √89 / 89

Thus, Option B; cos B = 5 √89 / 89 is correct.

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The patient will have to pay approximately $727.74 in total.

Total grams of marijuana: 39 grams

Weight of each bud: 0.07 grams

Number of buds = Total grams of marijuana / Weight of each bud

Number of buds = 39 / 0.07 ≈ 557.14

Since the patient can't purchase a fraction of a bud, they will need 558 buds (rounding up).

Now, let's calculate the total cost.

Dispensary cost: $530 per ounce (28.4 grams)

First, we need to find the cost per gram:

Cost per gram = $530 / 28.4 ≈ $18.66

Total grams of marijuana: 39 grams

Total cost = Cost per gram * Total grams of marijuana

Total cost = $18.66 * 39 ≈ $727.74

The patient will have to pay approximately $727.74 in total.

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The measure of the angles ∠1, ∠2, and ∠4 will be 133°, 47°, and 47°, respectively.

Given that:

Angle, ∠3 = 133°

Two angles are said to be supplementary angles if their sum is 180 degrees. Then we have

∠3 + ∠4 = 180°

133° + ∠4 = 180°

∠4 = 47°

When two lines intersect, then their opposite angles are equal. Then we have

∠4 = ∠2

∠2 = 47°

∠1 = ∠3

∠1 = 133°

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The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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Step-by-step explanation:

You have to study the f'(x)

f'(x)= (e^x - 2)÷(e^x-2x)

it has to be = 0

(c.e.: e^x > 2x)

e^x - 2=0

e^x = 2

x= ln 2