what point on the parabola is closest to y = 7 - x^2 the point (,)?

The pressure at the height of 100 meter above the sea level is 990 millibars.

The force per unit area in contact is called pressure. Mathematically -

P = dF/dA

Given is to find the pressure due to the air 100 meters above sea level.

We can write the variation of pressure with height as -

\(${\displaystyle P=P_{b}\exp \left[{\frac {-g_{0}M\left(h-h_{b}\right)}{R^{*}T_{b}}}\right]}\)

where -

Now, we can write the values in the formula as -

\(${\displaystyle P=P_{b}\exp \left[{\frac {-g_{0}M\left(h-h_{b}\right)}{R^{*}T_{b}}}\right]}\)

P = 1013.00 x \($e^{\frac{-9.8\times 0.028\times(100 - 0}{8.31\times288.15 } }\)

P = 990 millibar

Therefore, the pressure at the height of 100 meter above the sea level is 990 millibars.

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{Question in english -

Determine the pressure due to the air 100 meters above sea level if the pressure at sea level is 101300 N/m2 the air density is 1.23 km/m3}

Answer:

So, cost of small size is $7 and cost of large size is $13.

Step-by-step explanation:

Let cost of each small size - x, cost of each large size - y

By the question,

3x + 14y = 203

11x + 11y = 220

From the first equation, we get,

3x + 14y = 203

or, 3x = 203 - 14y

so, x = (203 - 14y)/3

Substituting x's value in second equation :-

11x + 11y = 220

or, 11 { (203 - 14y)/3 } + 11y = 220

or, {2233 - 154y}/3 + 11y = 220

or, { 2233 -154y + 33y} = 660

or, 2233 - 121y = 660

or, 121y = 2233 - 660

or, 121y = 1573

so, y = 1573/121

so, y = 13

Now,

As we know,

x = (203 - 14y)/3

or, x = ( 203 - 14 × 13)/3

or, x = (203 - 182)/3

so, x = 21/3

so, x = 7

So, cost of small size is $7 and cost of large size is $13.

If two ratios have the same value when simplified, then they are called Equivalent Ratios.

Equivalent ratios can be obtained by multiplying or dividing both sides by the same non-zero number.

As we want 3 equivalent ration in higher terms we will multiply it

4 : 7

by multiply with 2

4* 2 : 7* 2

8 : 14

by multiply with 3

4* 3 : 7* 3

2 : 21

by multiply with 4

4* 4 : 7* 4

16 : 28

you can multiply with any nonzero number

Hope this helped!

Have a great day!

Answer:

10 water and 4 cheese sticks

Step-by-step explanation:

water

5 10 15 20 25 30 35 40 45 50<--

cheese sticks

12 24 38 50<--

the first-order partial derivative of w with respect to x is:

dw/dx = [13 * (x^2 + y^2 + z^2)^(3/2) - 39x^2] / (x^2 + y^2 + z^2)^3

To compute the partial derivative dw/dx, we differentiate the function with respect to x while treating y and z as constants.

To compute the first-order partial derivative of the function w = 13x / (x^2 + y^2 + z^2)^(3/2) with respect to x, we differentiate the function with respect to x while treating y and z as constants.

Using the quotient rule and the chain rule, the derivative is calculated as follows:

dw/dx = [13 * (x^2 + y^2 + z^2)^(3/2) - 13x * (3/2) * (2x)] / (x^2 + y^2 + z^2)^3

Simplifying the derivative:

dw/dx = [13 * (x^2 + y^2 + z^2)^(3/2) - 39x^2] / (x^2 + y^2 + z^2)^3

Therefore, the first-order partial derivative of w with respect to x is:

dw/dx = [13 * (x^2 + y^2 + z^2)^(3/2) - 39x^2] / (x^2 + y^2 + z^2)^3

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Answer:

I think the possible answer is C.12

hope its right but if its wrong please feel free to correct me.

Answer:

Step-by-step explanation:

=(37 * 45 ) + (63 * 45 )

=1665 + 2835

=4500

Answer:

Step-by-step explanation:

\(\tt 37\times 45\times63\times45\)

\(\tt 1665\times63\times45\)

\(\tt 104895\times 45\)

\(\tt 4720275\)

____________________

Hope this helps you!

Have a great day! :)

Answer:

D.8

Step-by-step explanation:

A cube's volume is basically the side length multiplied by itself 3 times, so if it was increased by a factor of 2, it would mean 2x2x2 which equals 8.

The given statement is true.

Consider linearly independent vectors of \(R_{n}\)

Where n = 2

\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)  

\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)

Now product of these vectors

UV = 4x5 + 2x6

     = 32

Hence these vectors are not orthogonal.

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The solutions for the equation (5x - 2)² = 10 are x = 3/5 and x = 1/5.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

(5x - 2)² = 10

25x² - 20x + 4 = 10

25x² - 20x + 4 - 10 = 0

25x² - 20x - 6 = 0

Now,

Solve for x.

25x² - 20x - 6 = 0

This is in the form of ax² + bx + c

So,

a = 25

b = -20

c = -6

Using the determinant.

x = -b ± √(b² - 4ac) / 2a

x = 20 ± √(400 + 600) / 50

x = 20 ± √(100) / 50

x = (20 ± 10) / 50

x = 10 (2 ± 1) / 50

x = (2 ± 1)/5

x = (2 + 1)/5 and x = (2 - 1)/5

x = 3/5 and x = 1/5

Thus,

The solutions are x = 3/5 and x = 1/5.

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Answer:

0.10

Step-by-step explanation:

0.1 is already rounded to one decimal place, so just add a zero at the end, that usually pleases teachers

Rounded Value of 0.1 to one decimal is 0.1.

Rounding a decimal number to two decimal places is the same as rounding it to the hundredths place, which is the second place to the right of the decimal point. For example, 2.83620364 can be round to two decimal places as 2.84, and 0.7035 can be round to two decimal places as 0.70.

Given value = 0.1

We can see that 0.1 already a one decimal place number.

Steps to round off number to two decimal places:

1 . Locate the Third Digit after the Decimal Point. Here it is, 0 in 0.1

2. If the located digit is 5 or more, increase the previous digit by one and remove all digits to right

3. If the located digit is 4 or less, keep the previous digit the same and remove all digits to right

4 . Here it is, 0.1 as the located digit is 0

Rounded Value of 0.1 to one decimal is 0.1.

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Answer:

We can convert 6.75% to a decimal by dividing by 100.

If x is the price of the house, then the sales tax is 0.0675x. The price of the house and the sales tax add up to $319,000.

x+0.0675x=319,000

Combe terms on the left.

1.0675x=319,000

Finally, divide both sides by 1.0675.

x=319,0001.0675=298,829.04

Answer:

We have with us that: The HCF and LCM of two numbers are 12 and 72 respectively. We also have with us that: sum of the two numbers is 60. So, either x=24 or x=36. If x=24, then y=36 and if x=36, then y=24.

Answer: 36

Step-by-step explanation:

Let say n the second number

Since HCF*LCM=12*72= 24*n

n=(12*72)/24

n=72/2

n=36

Answer:

She would earn 728 $ in commission

Step-by-step explanation:

Answer:

54°

Step-by-step explanation:

m and the 54° angle are VERTICAL ANGLES. That means they are the same measure.

Answer:

Step-by-step explanation:

54 degree

If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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The circumference of the circle with a radius of 6 feet would be approximately 37.7 feet.

The circumference of a circle is the distance around the outer edge of the circle. It is the perimeter of the circle, which is the total length of the boundary that encloses the area of the circle.

The formula for the circumference of a circle is

C = 2πr

Where C is the circumference, r is the radius, and π is approximately 3.14.

If a circle has a radius of 3 feet, the circumference would be

C = 2πr

C = 2π(3)

C ≈ 18.85 feet

When the radius doubles to 6 feet, the circumference would be

C = 2πr

C = 2π(6)

C ≈ 37.7 feet

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Answer:

double, and 36

Step-by-step explanation:

Mc graw hill

Q...

The standard deviation of the thickness of layer 1 = 15.81 x 10⁻⁵ m

                                                                       layer 2 = 20 x 10⁻⁵m

                                                                       layer 3 = 17.32 x 10⁻⁵ m

The variance of the thickness of the three layers is 25,40 and 30 in nanometers

Let v₁, v₂, v₃ be the variance of the three layers of thickness.

Then, the standard deviation of the thickness of these layers can be found using the formula

                             v = σ²

Let us re-write this equation in order to find the standard deviation,

                             σ = √v

where v is the variance and

          σ is the standard deviation

The standard deviation of layer 1 is

                          σ₁ = √v₁

                              = √(25 x 10⁻⁹)

                              = √(250 x 10⁻¹⁰)

                              = 15.81 x 10⁻⁵

The standard deviation of layer 2 is

                            σ₂ = √v₂

                                 = √(40 x 10⁻⁹)

                                 = √(400 x  10⁻¹⁰)

                                 = 20 x 10⁻⁵

The standard deviation of layer 3 is

                             σ₃ = √v₃

                                  = √(30 x  10⁻⁹)

                                  = √(300 x 10⁻¹⁰)

                                  = 17.32 x 10⁻⁵

Therefore, the standard deviation is 15.81 x 10⁻⁵m , 20 x 10⁻⁵ m, 17.32 x 10⁻⁵m

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The correct statement regarding the similarity of the figures is given as follows:

B. Figure EFGHIJ is similar to figure KLMNPQ because dilation (x,y) to (1.5x,1.5y) maps figure EFGHIJ to figure KLMNPQ.

A dilation is defined as a non-rigid transformation that multiplies the distances between every point in a polygon or even a function graph, called the center of dilation, by a constant factor called the scale factor.

After a dilation, we have that:

The scale factor is given as follows:

k = 1.5.

As each coordinate of each vertex is multiplied by 1.5.

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The rule is n + 5

So we have that

an = n + 5

Where n is the term, that said we want the 1st, 2nd, 3rd, 4th and 10th term

a1 = 1 + 5 = 6

a2 = 2 + 5 = 7

a3 = 3 + 5 = 8

a4 = 4 + 5 = 9

a10 = 10 + 5 = 15

So the next 4 digits are:

0.34353637383940414243

Respuesta:

- 0,60

Explicación paso a paso:

Dado que:

Media poblacional, μ = 683,5

Desviación estándar, σ = 52,1

Puntuación, x = 652,1

La puntuación estandarizada, Z = (x - μ) / σ

Puntuación Z = (652,1 - 683,5) / 52,1

Puntuación Z = - 31,4 / 52,1

Zscore = −0.602687

Puntaje estandarizado = - 0.60

Answer:

I think it is 12 4/5

Step-by-step explanation:

hope this helps if not let me now

If the $69 cost of electric-toothbrush includes 50% "price-markup", then the cost for the store to purchase it was (d) $46.

Let the cost for the store to purchase the electric toothbrush be = "C".

We know that the "final-price" of the toothbrush, includes the 50% markup, which is = $69,

The price with the 50% markup is calculated by adding 50% of the original cost to the original cost.

So, we have :

⇒ Final price = Original cost + 50% of original cost,

Substituting the value of "final-price" as $69,

We get,

⇒ $69 = C + 0.5C,

⇒ $69 = 1.5C,

⇒ C = $46;

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

An electric toothbrush costs $69, including a 50% price markup. What was the cost for the store to purchase the electric toothbrush?

(a) $19.00

(b) $23.00

(c) $34.50

(d) $46.00

Answer: Could you possibly make the question telligible via photo or better tables? I'd love to help if you would!

Step-by-step explanation: