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The approximate populations of Connecticut and Vermont (as of 2019) are
listed below:
Connecticut: 3.57 x 10^6
Vermont: 6.24 x 10^5
How many times greater was the population of Connecticut than the
population of Vermont? Write your answer in standard notation, rounding to
the nearest tenth.

Answer:

s=  -5

Step-by-step explanation:

have a good day

Answer:

Step-by-step explanation:

subtract 28 on both sides that will cancel the 28

-35 = 7s, divide both sides by 7, this cancels the 7

- 5 = s

s=-5

The equation in slope intercept form is y = -4 / 5 x - 8  / 5

The slope intercept equation can be represented as follows:

y = mx + b

where

Therefore, using (-2, 0)(3, -4) let's find the slope

m = -4 - 0 / 3 - (-2)

m = - 4 / 3 + 2

m = - 4 / 5

Hence, the y = mx + b can be defined as follows:

let's find b, the y-intercept using (-2, 0)

y = -4 / 5 x + b

0 = - 4 / 5(-2) + b

0 = 8 / 5 + b

b = - 8 / 5

Therefore, the equation in slope intercept form is y = -4 / 5 x - 8  / 5

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The prompt on measurement of rooms and surface area is given below. Note that the total surface area of the room is 752 ft².

Therefore, the total surface area of the room is 96 + 96 + 160 + 160 + 120 + 120 = 752 square feet.

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The divergence theorem states that the surface integral of the divergence of a vector field over a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface

we are given the vector field F = (11x, 2y, \(z^{2}\)) and the surface S defined by the equation \(x^2 + y^2 + z^2\)= 1, which represents a unit sphere.

To evaluate the surface integral ∬S F · ds using the divergence theorem, we first need to calculate the divergence of the vector field F. The divergence of F, denoted as ∇ · F, is given by the sum of the partial derivatives of the components of F with respect to their corresponding variables. Therefore, ∇ · F = ∂(11x)/∂x + ∂(2y)/∂y + ∂(z^2)/∂z = 11 + 2 + 2z.

Applying the divergence theorem, the surface integral ∬S F · ds is equal to the triple integral ∭V (∇ · F) dV, where V represents the volume enclosed by the surface S.

Since the surface S is a unit sphere centered at the origin, the triple integral ∭V (∇ · F) dV can be evaluated by integrating over the volume of the sphere.

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Answer:

y=-3/2

Step-by-step explanation:

Answer:

Exact form:

y=-3/2

decimal form:

y=-1.5

mixed number:

y=-1/1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

22.6 feet

SOH - CAH - TOA

you are working with "o" opposite , and "a" adjacent.

O/A is TOA - tan()

tan(37) = x/30

x = 30* tan(37) = 22.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). \(8\frac{1}{4}\) ÷ \(\frac{3}{4}\)

= \(\frac{33}{4}\) ÷ \(\frac{3}{4}\)

= \(\frac{33}{4}\times \frac{4}{3}\)

= 11

2). \(3\frac{1}{3}\) ÷ \(\frac{10}{3}\)

= \(\frac{10}{3}\) ÷ \(\frac{10}{3}\)

= \(\frac{10}{3}\times \frac{3}{10}\)

= 1

3). \(\frac{5}{4}\) ÷ \(\frac{1}{4}\)

= \(\frac{5}{4}\times \frac{4}{1}\)

= 5

4). \(\frac{25}{4}\) ÷ \(6\frac{1}{4}\)

= \(\frac{25}{4}\) ÷ \(\frac{25}{4}\)

= \(\frac{25}{4}\times \frac{4}{25}\)

= 1

5). \(11\frac{1}{4}\) ÷ \(\frac{9}{4}\)

= \(\frac{45}{4}\) ÷ \(\frac{9}{4}\)

= \(\frac{45}{4}\times \frac{4}{9}\)

= 5

6). \(3\frac{1}{7}\) ÷ \(\frac{2}{7}\)

= \(\frac{22}{7}\) ÷ \(\frac{2}{7}\)

= \(\frac{22}{7}\times \frac{7}{2}\)

= 11

Now we can classify the expressions by their quotients as 1, 5 and 11.

7) yes

8) no

I didn't read the directions.

Answer:

7) Yes

8) Yes

Step-by-step explanation:

7)

9, 6, 5

Add the lengths of the two shorter sides.

6 + 5 = 11

Longest side: 9

Since 11 > 9, then these 3 sides do make a triangle.

8)

4, 7, 8

Add the lengths of the two shorter sides.

4 + 7 = 11

Longest side: 8

Since 11 > 8, then these 3 sides do make a triangle.

Answer:

i

Step-by-step explanation:

ask your teacher

Answer:

Let the altitude be represented by y and the time taken by x

so y = 3776 - 6x

A linear function is an algebraic equation with variables with a degree of only 1 and constants and is represented in a straight line form on a graph.

The slope Of a straight line (which represents a linear function) is the tangent of the angle made by the line with the x-axis. For a straight line passing through (x1,y1) and (x2,y2) the slope is given by

m= (y2-y1)/(x2-x1).

y-y1 = m(x-x1) where y represents y co-ordinate and x represents x- co-ordinate and m is the slope of the line which passes through(x1,y1).

So let time in minutes be represented by 'x'

So let altitude in meters be represented by 'y'

So the (x,y) coordinates according to the given data are (0,3776),(88/3,3600),(126,3020),(538/3,2700) and (231,2390).

So for slope which is m = (3600-3776)/(88/3-0) so slope = -6.

So the linear function is: y-3776 = -6(x-0)

6x+y=3776

So the linear function for the altitude in terms of the time they traveled is 6x+y = 3776

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Answer:

A

Step-by-step explanation:

Open the bracket with the plus sign

-14+12i+13-14i

Like terms

-14+13+12i-14i

-1-2i

Answer:

Step-by-step explanation:

1/2

The given matrix is an elementary matrix that represents an elementary row operation of multiplying the second row by 4k. The determinant of this matrix is determinant of the original matrix, which is 4k.

Therefore, the determinant of the given elementary matrix is 4k.

To verify this result, we can also compute the determinant using the formula for a 3x3 matrix. The matrix obtained by applying the elementary row operation to the identity matrix is:

\(\left[\begin{array}{ccc}1&0&0\\0&4k&0\\0&0&1\end{array}\right]\)

The determinant of this matrix is calculated as: det(A) = 1 * (4k) * 1 - 0 * 0 * 0 - 0 * (4k) * 0 = 4k. So, the determinant of the given elementary matrix is indeed 4k, which matches our previous result.

In summary, the determinant of the elementary matrix is 4k, and this can be verified by calculating the determinant using the formula for a 3x3 matrix.

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Answer:

y = -4x + 3

Step-by-step explanation:

Parallel likes have the same slope.  The slope in the graph is -4

The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:

∂ψ/∂x = 2y

∂ψ/∂y = 2x

∂φ/∂x = 2x

∂φ/∂y = -2y

From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.

To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:

V = ∇φ x ∇ψ

Taking the curl of V:

∇ x V = ∇ x (∇φ x ∇ψ)

Using vector calculus identities and simplifying the expression, we find:

∇ x V = 0

Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.

Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.

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Answer:

0

Step-by-step explanation: i did the lesson

The probability of a family with three children having exactly one female birth, using the outcomes of 50 trials of tossing a fair coin three times per trial is 0.44

In this case, we can consider each coin toss as representing the gender of one child, with Heads representing a male birth and Tails representing a female birth. We can then count the number of trials in which exactly one of the three coin tosses resulted in a Tails (female birth). Out of the 50 trials, we might observe that this occurs 22 times.

To estimate the probability of a family with three children having exactly one female birth, we can use the formula:

Probability = Number of favorable outcomes / Total number of outcomes

In this case, the number of favorable outcomes is the number of trials in which exactly one of the three coin tosses resulted in a Tails, which is 22. The total number of outcomes is the total number of trials, which is 50.

Therefore, the estimated probability of a family with three children having exactly one female birth is:

Probability = 22 / 50

Probability = 0.44 or 44%

It is important to note that this is only an estimate of the probability based on the outcomes of 50 trials, and the actual probability may differ slightly.

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Answer:

Step-by-step explanation:

Actually 75067 x 2= 150134

The fundamental color-programming unit on a computer screen or in a digital image is the pixel, a word that was created from the phrase "picture element." Consider it more as a conceptual than a physical unit. In a digital display, pixels are the smallest unit.

The smallest component of a visual display or digital image is a pixel, also known as a picture element. A grid of pixels is used to create computer screens. Red, blue, and green illumination components make up each pixel, which may produce millions of distinct colors by combining them in various ways and at various intensities.

For instance, a computer with a display resolution of 1280 x 768 will create up to 98,3040 pixels on a display screen. The number of pixels per inch of the monitor screen affects image quality; more pixels per inch produce better images.

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The number of visitors to the local art museum is expected to increase by 4% per month over the next 6 months. A function that models the number of visitors to the museum "t" months from now can be represented by the equation: N(t) = 3000 * \((1 + 0.04)^t.\)

To model the number of visitors to the museum "t" months from now, we need to account for the 4% increase in visitors each month. We start with the initial number of visitors, which is given as 3000.

To calculate the number of visitors after 1 month, we multiply the initial number of visitors (3000) by (1 + 0.04), which represents a 4% increase. This gives us 3000 * (1 + 0.04) = 3120.

Similarly, to calculate the number of visitors after 2 months, we multiply the previous number of visitors (3120) by (1 + 0.04) again. This process continues for each month, with each month's number of visitors being 4% greater than the previous month.

Therefore, the function that models the number of visitors to the museum "t" months from now is N(t) = 3000 * (1 + 0.04)^t, where N(t) represents the number of visitors and t represents the number of months from the current time.

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The standard deviation needed to achieve a process capability index of 2.0 is 0.003 feet.

To calculate the required standard deviation to achieve a process capability index of 2.0, we need to use the following formula:

Process Capability Index (Cpk) = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation)

In this case, the upper specification limit is 1.788 feet, the lower specification limit is 1.752 feet, and the process capability index (Cpk) is 2.0.

Let's plug in the values into the formula and solve for the standard deviation:

2.0 = (1.788 - 1.752) / (6 * Standard Deviation)

Rearranging the equation:

Standard Deviation = (1.788 - 1.752) / (6 * 2.0)

Standard Deviation = 0.036 / 12

Standard Deviation = 0.003

Therefore, the standard deviation needed to achieve a process capability index of 2.0 is 0.003 feet.

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The most famous version of the song was recorded by the Nitty Gritty Dirt Band. "Will the Circle Be Unbroken" is a traditional Christian hymn that has been recorded by many artists over the years.

However, the most famous version of the song was recorded by the Nitty Gritty Dirt Band in 1972 as a collaborative project that featured a wide variety of country, bluegrass, and folk musicians, including legends such as Mother Maybelle Carter, Earl Scruggs, and Doc Watson. The three-disc album was a critical and commercial success and helped to popularize traditional country and bluegrass music among a wider audience. The Nitty Gritty Dirt Band's rendition of "Will the Circle Be Unbroken" remains a beloved classic in the history of American music.

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

All the surface area are,

13) SA = 225 inches²

14) SA = 360π cm²

15|) SA = 240 feet²

16) SA = 114π cm²

Now, We can simplify as;

13) Base = 9 inches

Height = 8 in.

Hence, Surface area of pyramid is,

⇒ SA = (9 × 9) + 4 × (1/2 × 9 × 8)

⇒ SA = 81 + 144

⇒ SA = 225 inches²

14) Height of cone = 24 cm

Radius = 10 cm

Hence, Surface area of cone is,

⇒ SA = πr (r + √h² + r²)

⇒ SA = π × 10 (10 + √24² + 10²)

⇒ SA = 10π (10 + √676)

⇒ SA = 10π (10 + 26)

⇒ SA = 10π × 36

⇒SA = 360π cm²

15) Base = 6 feet

And, Height = 10 feet

Hence, Surface area is,

⇒ SA = 8 × 1/2 × 6 × 10

⇒ SA = 240 feet²

16) Surface area is,

⇒ SA = SA of cylinder + SA of cone

⇒ SA = (2πrh + 2πr² ) + πr (r + √h² + r²)

⇒ SA = 2π × 3 × 12 + 2π × 3² + 3π (3 + √4² + 3²)

⇒ SA = 72π + 18π + 3π (3 + 5)

⇒ SA = 90π + 24π

⇒ SA = 114π cm²

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The break-even sales price per umbrella if sun cover manufactures the units is $120.99.

This can be done by using the formula:

Break even units = Total fixed cost / (Price - Variable cost)

8573 = 675921/(Price - 42.15)

8573(P - 42.15) = 675921

8573P - 361351.95 = 675921

8573P = 675921 + 361351.95

8573P = 1037273.4

P = 1037273.4/8574

P = $120.99

Therefore, the price is $120.99.

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Answer:

3/7 ÷ 2/3 = 9/14

Step-by-step explanation:

When we divide two fractions, such as 3/7 ÷ 2/3, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

Answer:

ICUP IN A CUP LICK IT L L L L L L LLLLLLLLLLYGU O7T6FV7TYGVGUG

Aristotle was the first to draw the conclusion that the Earth is round from actual data.

The first people to reach the empirically supported conclusion that the Earth was spherical were the ancient Greeks. In the sixth century BCE, Pythagoras originally put out the notion of a spherical Earth, which was further expanded by his disciples Parmenides and Plato. Yet in the fourth century BCE, the Greek philosopher Aristotle offered the strongest factual support for a spherical Earth.

Aristotle noted that the Moon experiences a bent shadow from the Earth during lunar eclipses. He understood that the Earth would have to be a sphere for this to happen. Aristotle also observed that the North Star's height fluctuates as one moves north or south, which could only be justified if the Earth were curved. Aristotle came to the conclusion that the Earth was a spherical based on these and other observations, which was a commonly held belief in the ancient world and has subsequently been supported by a wealth of data.

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The equations for Bulk Volume of a reservoir in ft³ is VB = A*h and in barrels is VB = (A*h) / 5.615. The equations for Pore Volume of a reservoir in ft³ is VP = φ*VB and in barrels is VP = (φ*VB)/5.615. The equations for Hydrocarbon Pore Volume in ft³ is VHC = φ*S*VB and in barrels is VHC = (φ*S*VB)/5.615.

The equations for calculating the bulk volume, pore volume, and hydrocarbon pore volume of a reservoir are as follows:

1. Bulk Volume (VB):

Where:

VB = Bulk Volume

A = Cross-sectional area of the reservoir in square feet (ft²)

h = Thickness of the reservoir in feet (ft)

2. Pore Volume (VP):

Where:

VP = Pore Volume

φ = Porosity of the reservoir (dimensionless)

VB = Bulk Volume

3. Hydrocarbon Pore Volume (VHC):

Where:

VHC = Hydrocarbon Pore Volume

φ = Porosity of the reservoir (dimensionless)

S = Saturation of hydrocarbons in the reservoir (dimensionless)

VB = Bulk Volume

The conversion factor from cubic feet (ft³) to barrels (bbl) is 5.615.

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Answer:

(-2, -5, 3)

Step-by-step explanation:

To solve the systems of equations for...

x + 3y = -17

3x = -6

4x - 3y + 6z = 25

First simplify...

x + 3y = -17

x = -2

4x - 3y + 6z = 25

Then list the determinants and evaluate...

D = -18

D1 = 36

D2 = 90

D3 = -54

Now use Cramer's Rule to find x, y, and z...

x = -2

y = -5

z = 3

Hope this helps! :)