If the gas pressure inside a sealed tank is 689 kpa absolute, what is the pressure in pounds force per square inch or psi?

The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)

To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:

1. Obtain the slope of the provided line.

To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):

6y = -3x + 5

y =\(-\frac{1}{2}x + \frac{5}{6}\)

The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).

2. Determine the slope of the line perpendicular to the provided line.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.

So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.

3. Use the slope and the provided point to obtain the equation of the perpendicular line.

We can use the point-slope form of a line to determine the equation:

y - y1 = m(x - x1)

where x1, y1 is the provided point and m is the slope.

Substituting the provided point (1, 3) and the slope 2 into the equation, we have:

y - 3 = 2(x - 1)

4. Convert the equation to standard form.

To convert the equation to standard form, we expand the expression:

y - 3 = 2x - 2

2x - y = -1

Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:

2x - y = -1

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Answer:

278.33X - 553.34222

Step-by-step explanation:

Given the data:

Year, X :

1992

1993

1994

1995

1996

1997

1998

1999

2000

Sales, Y:

1.2

1.4

1.6

1.8

2.2

2.5

2.8

3.0

3.4

Using a linear regression calculator, the regression fit model for the data is

Y = 278.33X - 553.34222

Where, Y = sales in Millions

x = year

Step-by-step explanation:

flw me. plzzzzzzzzzzzzzzzzzz

Answer:

um.... ok, thanks 4 tho points tho..

Step-by-step explanation:

m<A = 112.5

m<B = 67.5

m<C = 67.5

m<D = 112.5

Consider the provided information.

The sum of all interior angle of a polygon is: (n-2)*180

Substitute n = 8.

(8-2)*180 = 1080

Thus, the measure of each angle is:

∠B and ∠C are congruent and their sum is 135°

∠B+∠C=135°

∠B=67.5°

Hence, the m angle B and m angle C is 67.5°.

The sum of all angles of a quadrilateral is 360°.

∠A+∠D+∠B+∠C=360°

∠A+∠D=360°-135°

∠A+∠D=225°

∠A and ∠D are congruent and their sum is 225°

∠A+∠D=225°

∠A=∠D=112.5°

Hence, the m angle A and m angle D is 112.5°.

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Answer: 5.56%

Step-by-step explanation:

Compound interest formula:

A = P(1 + r/n)^nt

A = final amount

P = principle amount (original amount of money)

r = interest rate

n = number of times interest in compounded per year

t = time

Step 1:

Fill in the formula

A = 700 (she ends up with this amount of money)

P = 530 (she started with this)

r = ?

n = 365 (it is compounded 365 times per year, or once a day)

t = 5 (she left the money in the account for 5 years)

700 = 530(1 + r/365)^365(5)

Step 2:

Solve the equation for r. You will get 0.055644...

Convert this to a percent and you get the final answer of 5.56%

Plot the lines and shade in the regions on the same x-y plane to find the solution to the system of inequalities 4x+6y ≤ 24 and x + 5y ≤ 10 fall under the mixed shaded region in the graph.

What is the linear inequalities?

Linear inequalities are mathematical expressions that describe a relationship between two variables that is linear in nature. The most common form of a linear inequality is of the form ax + by < c, where a, b, and c are constants and x and y are variables.

Yes, this system of two linear inequalities can be represented graphically on the x-y plane by plotting the solutions to each inequality. The steps are as follows:

        4x + 6y <= 24

        => -6y <= -4x + 24

        => y >= (4/6)x + 4

        => y = (4/6)x + 4

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Answer:

2 1/3 and 1 1/6

Step-by-step explanation:

Answer:

yes but y do u ask?

Step-by-step explanation:

To calculate the standard deviation of the number of defective items, we need to follow some steps. So, the correct answer is: c. 4.39 items.

The following steps are:

Calculate the mean (average) of the data set.

Calculate the deviation of each data point from the mean.

Square each deviation.

Calculate the mean of the squared deviations.

Take the square root of the mean squared deviation to obtain the standard deviation.

Let's perform these calculations:

Number of defective items: 12, 9, 11, 8, 12, 0, 10, 7, 20, 11, 6, 10, 10, 4, 8

Step 1: Calculate the mean:

Mean = (12 + 9 + 11 + 8 + 12 + 0 + 10 + 7 + 20 + 11 + 6 + 10 + 10 + 4 + 8) / 15 = 127 / 15 ≈ 8.47

Step 2: Calculate the deviation of each data point from the mean:

Deviation = each data point - mean

Deviation = 12 - 8.47, 9 - 8.47, 11 - 8.47, 8 - 8.47, 12 - 8.47, 0 - 8.47, 10 - 8.47, 7 - 8.47, 20 - 8.47, 11 - 8.47, 6 - 8.47, 10 - 8.47, 10 - 8.47, 4 - 8.47, 8 - 8.47

Step 3: Square each deviation:

Squared Deviation = Deviation^2

Step 4: Calculate the mean of the squared deviations:

Mean Squared Deviation = (sum of squared deviations) / 15

Step 5: Take the square root of the mean squared deviation to get the standard deviation.

Performing these calculations, the standard deviation of the number of defective items is approximately 4.39 (option C).

Therefore, the correct answer is: c. 4.39 items.

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The parabola's vertex is located at (-2, 8). The parabola's graph is then depicted below.

Let a be the leading coefficient and the parabola's vertex be the point (h, k). The parabola's equation will therefore be stated as,

y = a(x - h)² + k

The parabola's equation is stated as,

y = -(x + 2)² + 8

The downward-pointing parabola is represented by the negative sign.

The vertex of the parabola is at (-2, 8), according to the equation above. The parabola's graph is then depicted below.

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Answer:

125.6cm

Step-by-step explanation:

circumference of a circle is 2pir

pi=3.14

r=d/2=40cm/2=20cm

So, 2pir=2X20cmX3.14=40cmX3.14=31.4cmX4=125.6cm

PLEASE MAAKE THIS THE BRAINLIEST ANSWER

The response rate of the survey conducted by Megan to study bullying in high school is 0.4 or 40%

How to Calculate Response Rate?

The response rate can be calculated by dividing the number of completed survey responses by the number of people who viewed or started the survey.

To convert this to a percentage, multiple your final number by 100.

According to the giving question:

The number of completed survey responses = 400

The number of people who started the survey = 1,000

∴ Response rate = 400/1,000

                           = 0.4 or 40%

Hence the response rate is 0.4 or 40%.

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Answer: y = 1/2x + 1

(4,2)

4=x1

2=y1

y = mx + b

2 = 1/2(4) + b

2 = 2 + b

b = 1

y = 1/2x + 1

Answer:

Question 3 of 10 The answer should be 7

Step-by-step explanation:

The reason is  because if it is out of 100 7/100 is still 7%

Considering the definition of an inequality, the inequality that expresses the previous relationship is 12 < x ≤ 12.2

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that to fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm.

It means that the length has to be strictly greater than 12 cm but less than or equal to 12.2 cm. In other words, length of frame must be longer than 12 cm means that x>12, while ength of frame not longer than 12.2 cm means x≤12.2

Finally, the inequality that expresses the previous relationship is

12 < x ≤ 12.2

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When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units, the radius is E. Pi.

The area of a circle is given by the formula A = π\(r^2\), where A is the area and r is the radius. If the area of the circle is increasing twice as fast as its radius, we can express this relationship as:

dA/dt = 2(dr/dt)

Here, dA/dt represents the rate of change of the area with respect to time, and dr/dt represents the rate of change of the radius with respect to time.

Since we are considering an expanding circle, both dA/dt and dr/dt are positive.

Now, let's solve for the relationship between dA/dt and dr/dt:

dA/dt = 2(dr/dt)

π\(r^2\) = 2(dr/dt)

Dividing both sides by \(r^2\):

π = 2(dr/dt) / \(r^2\)

Simplifying further:

π = 2(dr/dt) / \(r^2\)

π = 2/r

Therefore, the relationship between the rate of change of the area and the rate of change of the radius is π = 2/r.

To find the value of r, we rearrange the equation:

r = 2/π

Thus, the radius is 2/π, which is approximately 0.6366.

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Answer:

2:14

Step-by-step explanation:

\(\frac{1 \times 2}{7 \times 2} = \frac{2}{14}/2:14\)

The image of C after it is rotated 180° about the origin will be: A. (-5, 2).

Therefore, the image of C after it is rotated 180° about the origin will be: A. (-5, 2).

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the integral is:∬s(x y z)ds = (4/3 - 24/5 + 2/7 - 2/9) = -6/45

∬s(x y z)ds = ∬r(u,v)(2u v)(u − 2v)(u 3v)dudv

= ∫0^1∫0^2 (4uv^2 - 8uv^3 + u^2v^4 -2u^2v^5)dudv

= (4/3 - 24/5 + 2/7 - 2/9) = -6/45

We can evaluate the integral by first rewriting it in terms of parametric equations.

The surface s is defined parametrically by r(u,v) = (2u v)i (u − 2v)j (u 3v)k for 0 ≤ u ≤ 1, and 0 ≤ v ≤ 2.

Therefore, the integral can be written as ∬s(x y z)ds = ∬r(u,v)(2u v)(u − 2v)(u 3v)dudv.

Next, we can evaluate the integral by using double integrals.

We can evaluate the integral by first evaluating the inner integral with respect to v, and then evaluating the outer integral with respect to u.

The inner integral with respect to v is:

∫0^2 (4uv^2 - 8uv^3 + u^2v^4 -2u^2v^5)dv

= (4/3 - 24/5 + 2/7 - 2/9)

The outer integral with respect to u is:

∫0^1 (4/3 - 24/5 + 2/7 - 2/9)du = (4/3 - 24/5 + 2/7 - 2/9)

Therefore, the integral is:

∬s(x y z)ds = (4/3 - 24/5 + 2/7 - 2/9) = -6/45

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Answer:

Blank 1: DE=59

Blank 2: EB=59

Blank 3: DB=118

Step-by-step explanation:

Set DE and EB equal to each other.

Solve for x.

9x-4=5x+24

-5x. -5x

4x-4=24

+4 +4

4x=28

x=7

Substitute 7 in for x.

DE: 9(7)-4=59

EB: 5(7)+24=59

DE+EB=59+59=118

a. The test statistic (t-value) is approximately 1.63.

b. The critical value is 1.96.

c The P-value of the test is 0.008

d. Since the p-value is not provided, we cannot make a direct conclusion

a Sample mean = 283.4 yards

Hypothesized mean (μ) = 280 yards

Sample standard deviation (s) = 10.41 yards

Sample size (n) = 25

t = (283.4 - 280) / (10.41 / √25)

t = 3.4 / (10.41 / 5)

t ≈ 3.4 / 2.08

t ≈ 1.63

The test statistic (t-value) is 1.63.

b) Since the sample size is 25, the degrees of freedom are (n - 1) = 25 - 1 = 24. he critical value is 1.96. This is the value of the test statistic that separates the rejection region from the non-rejection region. In this case, the rejection region is the area to the right of 1.96. If the test statistic is greater than 1.96, then we reject the null hypothesis. If the test statistic is less than or equal to 1.96, then we fail to reject the null hypothesis.

c) The P-value is the probability of obtaining a test statistic at least as extreme as the one we observed, assuming the null hypothesis is true. In this case, the P-value is 0.008. This means that there is a 0.8% chance of obtaining a sample average of 283.4 yards or more if the true mean is 280 yards.

d) In this case, since the p-value is not provided, we cannot make a direct conclusion. However, if α is 0.05, and assuming the p-value is 0.05 (as an example), then the observed sample mean would be statistically significant. We would reject the null hypothesis and conclude that there is evidence to support the claim that the average overall distance achieved by the golf ball brand is greater than 280 yards.

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Investment of $17,000 in two accounts at 6% and 8% annual interest rates respectively produced a total interest of $1160.Therefore, $10,000 was invested at 6% and $7,000 was invested at 8% is obtained by solving linear equation.

To find the amount invested at each rate we use the system of equations and solve for the two unknowns.
Let x be the amount invested at 6%, then the amount invested at 8% is 17000 - x. Given that the total interest earned for the year is $1160. So, the interest earned at 6% on x dollars is 0.06x and the interest earned at 8% on (17000 - x) dollars is 0.08(17000 - x).

We are given that the total interest earned is $1160, so we can write the equation:0.06x + 0.08(17000 - x) = 1160Simplifying and solving for x:0.06x + 1360 - 0.08x = 1160-0.02x = -200x = 10000Hence, the amount invested at 6% is $10,000. The amount invested at 8% is the remaining amount which is 17000 - 10000 = $7,000. Therefore, $10,000 was invested at 6% and $7,000 was invested at 8%.

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The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the number of hours be x

Let the number of boxes be y

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 5 , 60 )

Now , the slope of the line m = y/x

Substituting the values in the equation , we get

Slope m = 60 / 5 = 12

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 60 = 12 ( x - 5 )

y - 60 = 12x - 60

y = 12x

Now , when x = 18 hours

y = 12 ( 18 ) boxes

y = 216 boxes

Hence , the number of boxes is 216 boxes

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It is equal to (x-4)² - (x- 4) ⁶ = 0 to solve the quadratic equation u² - u - 6 = 0 where u = (x -4).

A numerical assertion known as a situation comprises of two mathematical articulations isolated by equivalent signs (=) on one or the other side.

It demonstrates that the printed statements on the left and right are in equal relationship.

In all formulas, the left side equals the right side. Equations can be solved to determine the values of unknown variables, which represent unknown quantities.

Without the equals sign, a statement is not an equation. A mathematical statement known as an equation will include the symbol "equal to" between two expressions that have the same value.

According to our question-

(x-4)² – (x − 4) − 6 = 0

Let (x - 4) = u

u² - u - 6 = 0

Hence, It is equal to (x-4)² - (x- 4) ⁶ = 0 to solve the quadratic equation u² - u - 6 = 0 where u = (x -4).

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Answer:

16 hats

Step-by-step explanation:

8h+12s=272

h+s=28

isolate s to get s=28-h

substitute that in for s and solve for h

you will get h=16 meaning 16 hats were sold

Answer:

29

Step-by-step explanation:

We can use the formula (a+b)(a-b)=a^2-b^2 to help us simplify this problem.

\((6-\sqrt{7})(6+\sqrt{7})\\= 6^2-(\sqrt{7})^2\\= 36-7\\=29\)

I hope this helps! Please comment if you have any questions.

Answer:

24,500

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 350%/100 = 3.5 per year,

then, solving our equation

I = 1000 × 3.5 × 7 = 24500

I = $ 24,500.00

The simple interest accumulated

on a principal of $ 1,000.00

at a rate of 350% per year

for 7 years is $ 24,500.00.

Answer:

304.6 metres

Step-by-step explanation:

This is a trigonometry problem.

You know two angles and one side (a side that is not bounded by the two known angles).

Using the Sine Law,

A/Sine A  =  B/Sine B

Let A be the unknown length and B, the known length. Automatically, the angle corresponding to each side of the triangles is its angle.

The height of the plane - which is the side of the triangle that stretches from north to south - is what you are looking for. The angle facing this side directly is 44° (the angle at the left side of the base of this triangle). Same way side B (whose length is known) corresponds to angle 38° above it.

A = B (Sine A) ÷ Sine B

A = 270 (Sine 44°) ÷ Sine 38°  = 270 (0.6947) ÷ 0.6157

A = 187.55776 ÷ 0.6157  = 304.625 ≅ 304.6 metres