What is the area of a right triangle with a base of 7 feet and a height of 16 feet?

36 ft2
56 ft2
90 ft2
180 ft2

im editing it i pressed send by accident

Answer:

8) x - intercept: (-7, 0)

y - intercept: (0, -7)

9) x- intercept: (4,0)

y- intercepts: ( 0, 8)

10) x- intercepts: (9,0)

y- intercepts: (0,3)

Step-by-step explanation:

To find aw/as and aw/at using the Chain Rule:

(a) Using the

Chain Rule

, we have:

aw/as = (dw/ds) * (ds/as) = ((dw/dx) * (dx/ds) + (dw/dy) * (dy/ds) + (dw/dz) * (dz/ds)) * (ds/as)

Substituting

the given expressions for x, y, and z, we get:

x = 2t, y = s - 2t, z = st

dx/ds = 0, dy/ds = 1, dz/ds = t

dx/dt = 2, dy/dt = -2, dz/dt = s

Therefore:

aw/as = ((z/x) * 2 + (z/y) * (-2) + (x*y)) * (1/s) = (2st/x - 2st/y + 2st) * (1/s)

= 2st * (y/x - y/y + 1) * (1/s) = 2st * (1 - 2/s) * (1/s)

= 2t * (1 - 2/s)

Similarly, we can find

aw/at

:

aw/at = (dw/dx) * (dx/dt) + (dw/dy) * (dy/dt) + (dw/dz) * (dz/dt)

= z * 2 + (-z) * 2 + xy

= 2st - 2st + 2ts

= 2ts

Therefore, aw/as = 2t * (1 - 2/s) and aw/at = 2ts.

(b) To find aw/as and aw/at by converting w to a function of s, we substitute the expressions for x and y in terms of s:

x = 2t, y = s - 2t

into the expression for w:

w = xyz = (2t)(s - 2t)(st) = 2st^2 - 4t^2s

Then we differentiate w with respect to s and t to get:

dw/ds = 4t^2 - 4t

dw/dt = 4st - 8ts

Using the Chain Rule, we can find aw/as and aw/at:

aw/as = dw/ds = 4t^2 - 4t

aw/at = dw/dt = 4st - 8ts

Therefore,

aw/as = 4t^2 - 4t

and aw/at = 4st - 8ts.

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A quantitative variable x is a "Random Variable" if the value that x takes on in a given experiment or observation is a chance or random outcome.

A random variable is one with an unknown value or a function which assigns qualities to each of the outcomes of an experiment.

Some key features regarding the Random Variable are-

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Answer:

x = 11

Step-by-step explanation:

5x - 7x = -2

-15 - 7 = -22

-22/-2= 11

Have a good day :)

The equation of the parabola formed by the plane that is parallel to a generating line of a double napped cone is y = (A/B)x^2 + (6/B)x + (9/B + K/B).

The equation of a double napped cone is given by:

\(Ax^2 + By^2 + Cz^2 + 2Dxy + 2Exz + 2Fyz + 2Gx + 2Hy + 2Jz + K = 0\)

Where A, B, C, D, E, F, G, H, J and K are constants.

A plane that is parallel to a generating line of a double napped cone will intersect the cone at a single point, forming a parabola. The equation of a parabola can be written as:

y = ax^2 + bx + c

Where a, b, and c are constants.

We can find a, b and c by substituting the equation of the plane into the equation of the double napped cone.

For example, if the equation of the plane is x + y – z = 3 then we can substitute this into the equation of the double napped cone and solve for the coefficients a, b and c.

Substituting x + y – z = 3 into the equation of the double napped cone:

\(Ax^2 + By^2 + Cz^2 + 2Dxy + 2Exz + 2Fyz + 2Gx + 2Hy + 2Jz + K = 0\)

We get:

\(Ax^2 + B(x + 3)^2 + C(-x - 3)^2 + K = 0\)

Expanding, we get:

\(Ax^2 + Bx^2 + 6Bx + 9B + Cx^2 - 6Cx - 9C + K = 0\)

Grouping terms and solving for a, b and c, we get:

a = A/B

b = 6/B

c = 9/B + K/B

Therefore, the equation of the parabola formed by the plane that is parallel to a generating line of a double napped cone is y = (A/B)x^2 + (6/B)x + (9/B + K/B).

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Answer:

Option 2: y+2=−2(x−5) is the correct answer.

Step-by-step explanation:

We can see two points on the line A and B.

Their coordinates are:

A = (x1,y1) = (1,6)

B = (x2,y2) = (5,-2)

The point slope form is given as:

\(y-y_1 = m(x-x_1)\)

Here m is the slope which is found using the formula

\(m = \frac{y_2-y_1}{x_2-x_1}\)

Putting the values

\(m = \frac{-2-6}{5-1}\\m=\frac{-8}{4}\\m = -2\)

Putting the value of slope

\(y-y1 = -2(x-x_1)\)

Putting both points to get two forms of point slope form of equation

Putting (1,6):

\(y-6 = -2(x-1)\)

Putting (5,-2):

\(y+2 = -2(x-5)\)

Looking at the equations and options it can be concluded that

Option 2: y+2=−2(x−5) is the correct answer

Perimeter is the sum of all the sides of a figure. For a rectangle with width 2cm and perimeter 40cm, the length will be 18 cm

For rectangle there are four sides. The opposite sides are equal. If length is denoted as l and width is denoted as b, the perimeter will be l+l+b+b

So perimeter = 2l + 2b = 2(l +b)

Here perimeter is given as 40cm and width is 2cm.

Substituting in the equation for perimeter

 p = 2 (l +b)

40 = 2( l + 2)

40/2 = l +2

20 = l + 2

l = 20-2 = 18

So, the length of the rectangle will be 18 cm

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Answer:

5

Step-by-step explanation:

keep change flip

   3         -       -2

3 + 2

Answer:

Step-by-step explanation:

Discussion and Correction

The algrebra  itself is fine. The exclusions are not so good. The difficulty comes in the denominator. It factors into (2x)(x - 3). x cannot take on a value of 0 (that was pointed out and that is correct). The problem comes in the plus/minus 3. Plus 3 is correct. x - 3 will come 0 if x = 3. Nothing bad will happen if x = - 3

Answer: So the exclusions in the denominator should be modified to x = 3.

Answer:

The excluded values are x-values that make the denominator of the original expression zero, since \(\dfrac{a}{0}\) is undefined.

\(x = -3\) is not an excluded value since this x-value does not make the  denominator zero.

\(x = -3\) makes the numerator zero, but as \(\dfrac{0}{a}=0\) it is not an excluded value.

Therefore, step 3 of her work should read:

\(\textsf{Finding excluded values}:x\neq 0\:\textsf{and}\:x\neq 3\)

The value of x in its simplest form is x = 67√2 = 94.75.

The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilise the sine function. The ratio between the side perpendicular to the angle and the hypotenuse is known as the sine of an angle in a right-angled triangle.

The relation between the opposite side and the hypotenuse is given by the sine function.

Thus,

sin (45) = opposite side / hypotenuse = 67 / x

1 / √2 = 67/x

x = 67√2 = 94.75

Hence, the value of x in its simplest form is x = 67√2 = 94.75.

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(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The Fourier transform pair for a function f(x) is defined as follows:

F(k) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

f(x) = (1/2π) ∫[-∞,∞] F(k) \(e^{2\pi iyx}\) dk

Now let's prove the given properties:

(i) If f is an even function, then f(y) = 2∫[0,∞] f(x) cos(2πxy) dx.

To prove this, we start with the Fourier transform pair and substitute y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is even, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[-∞,0] f(x) \(e^{2\pi iyx}\) dx

Since f(x) is even, f(x) = f(-x), and by substituting -x for x in the second integral, we get:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx + ∫[0,∞] f(-x) \(e^{2\pi iyx}\)dx

Using the property that cos(x) = (\(e^{ ix}\) + \(e^{- ix}\))/2, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dx

Now, using the definition of the inverse Fourier transform, we can write f(y) as follows:

f(y) = (1/2π) ∫[-∞,∞] F(y) \(e^{2\pi iyx}\) dy

Substituting F(y) with the expression derived above:

f(y) = (1/2π) ∫[-∞,∞] ∫[0,∞] f(x) \(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\)/2 dx dy

Interchanging the order of integration and evaluating the integral with respect to y, we get:

f(y) = (1/2π) ∫[0,∞] f(x) ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy dx

Since ∫[-∞,∞] (\(e^{-2\pi iyx}\) + \(e^{2\pi iyx}\))/2 dy = 2πδ(x), where δ(x) is the Dirac delta function, we have:

f(y) = (1/2) ∫[0,∞] f(x) 2πδ(x) dx

f(y) = 2 ∫[0,∞] f(x) δ(x) dx

f(y) = 2f(0) (since the Dirac delta function evaluates to 1 at x=0)

Therefore, f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx, which proves property (i).

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

The proof for this property follows a similar approach as the one for even functions.

Starting with the Fourier transform pair and substituting y for k in the Fourier transform of f(x):

F(y) = ∫[-∞,∞] f(x) \(e^{-2\pi iyx}\) dx

Since f(x) is odd, we can rewrite the integral as follows:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) dx - ∫[-∞,0] f(x) \(e^{-2\pi iyx}\) dx

Using the property that sin(x) = (\(e^{ ix}\) - \(e^{-ix}\))/2i, we can rewrite the above expression as:

F(y) = ∫[0,∞] f(x) \(e^{-2\pi iyx}\) - \(e^{2\pi iyx}\)/2i dx

Now, following the same steps as in the proof for even functions, we can show that

f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx

This completes the proof of property (ii).

In summary:

(i) If f is an even function, then f(y) = 2 ∫[0,∞] f(x) cos(2πxy) dx.

(ii) If f is an odd function, then f(y) = -2i ∫[0,∞] f(x) sin(2πxy) dx.

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Answer:

44'2"

Step-by-step explanation:

32'11"+11'3' = 43'14" = 44'2"

Answer:

44'2"

Step-by-step explanation:

Starting with 32' 11", we'll add the 3" from the second number first. That will give us 32' + 14". Every 12" = 1 more foot, so that converts to 33' 2". Now add the 11' from the 11'3", and you have 44' 2". Does that make sense? Happy to answer any questions.

The statement is not sufficient to determine whether a two-tail test is being conducted based on the null hypothesis alone. Correct answer is false.

The null hypothesis should explicitly specify the parameter being tested and its value, rather than just stating "u₂=200." A two-tail test is conducted when the alternative hypothesis is two-sided, meaning that the researcher is interested in determining whether the parameter is significantly different from the null value in either direction. In this case, we need additional information about the alternative hypothesis to determine if it is two-sided or one-sided.

For example, if the alternative hypothesis is "u₂ ≠ 200," indicating a two-sided alternative, then a two-tail test would be appropriate. On the other hand, if the alternative hypothesis is "u₂ > 200" or "u₂ < 200," indicating a one-sided alternative, then a one-tail test would be conducted.

In summary, the determination of whether a two-tail test is being conducted requires information about the alternative hypothesis in addition to the null hypothesis.

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To determine the optimal order quantity for Rocky Mountain Tire Center, you must consider ordering costs, storage costs, and the purchase price of the tires. The order quantity should minimize the total cost including both ordering cost and storage cost.

The EOQ formula is given by: EOQ = √((2DS) / H)

Where: D = Annual demand (7,000 go-cart tires)

S = Ordering cost per order ($40) H = Holding cost - percentage of the purchase price (40% of the purchase price)

we need to determine the purchase price per tire based on the quantity ordered.

EOQ = √((2 * 7,000 * 40) / (0.4 * 15))

=118 tires

they should order approximately 118 tires.

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Answer: Answers are in the pictures

If swimming 1/4 of a mile uses about the same number of calories as running 1 mile.

a.  The distance her sister have to swim to use the same number of calories Gilda used during the marathon is 6 1/2 mile.

b. The number of miles that he would have to run to use the same number of calories used during his swim is 20 miles.

a. Number of miles:

1/4 swim / 1 run = x swim / 26 run

Cross multiply

= 6 1/2 mile

b.  Number of miles:

1/4 swim / 1 run = 5 swim/x

Cross multiply

x = 20 miles

Therefore the number of mile is 6 1/2 miles and 20 miles.

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The complete question is:

Swimming 1/4 of a mile uses about the same number of calories as running 1 mile.

a. Gilda ran a 26 mile marathon. About how far would her sister have to swim

to use the same number of calories Gilda used during the marathon?

b. Juan swims 5 miles a day. About how many miles would he have to run to

use the same number of calories used during his swim?

The temperature of the soda after 19 minutes will be 6.6°C.

The given details are: A can of soda that was forgotten on the kitchen counter and warmed up to 23°C was put back in the refrigerator whose interior temperature is kept at a constant 3°c.

The temperature of the soda follows the exponential decay model, which means the change in temperature at each moment depends on the difference between the temperature of the soda and the refrigerator.

We can use this model to solve the problem.

                               T = (Tc + (Ts - Tc)e^(-kt)), where T is the temperature of the soda, Tc is the temperature of the refrigerator, Ts is the initial temperature of the soda, k is the rate of cooling, and t is time.

We can solve for k using the given data.

                          For T = 14°C at t = 7 min,

                             T = (3 + (23 - 3)e^(-7k)) 14

                               = 3 + 20e^(-7k) 11e^(7k)

                                = 20 e^(7k) = 20/11 k

                                 = ln(20/11)/7 k = 0.0631

Thus, T = (3 + 20e^(-0.0631t))After 19 minutes,

                                            T = (3 + 20e^(-0.0631(19))) = 6.6°C.

Thus, the temperature of the soda after 19 minutes will be 6.6°C.

Therefore, the detailed solution for the given problem is as follows:

                                T = (Tc + (Ts - Tc)e^(-kt))

At t = 7 minutes, the temperature of the soda, T = 14°C.

Therefore, we have

                                 14 = (3 + (23 - 3)e^(-7k))11e^(7k) = 20e^(7k) = 20/11k = ln(20/11)/7k = 0.0631

Therefore, the equation for the temperature of the soda is T = (3 + 20e^(-0.0631t))

After 19 minutes,T = (3 + 20e^(-0.0631(19))) = 6.6°C

Thus, the temperature of the soda after 19 minutes will be 6.6°C.

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at a particular restaurant, each pizza roll has 65 and each chicken wing is 11 pizza rolls and 6 chicken wings.

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Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

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When P is not on the line l, the image and pre-image are: a. parallel.

In Geometry, a dilation is a type of transformation which typically transforms the dimensions or side lengths of a geometric object, without affecting its shape.

Generally speaking, a dilation is not a rigid transformation because it can preserve angle measure, orientation, perpendicular lines, betweenness of points, parallel lines, and collinearity in any geometric figure.

In conclusion, we can reasonably infer and logically deduce that the the image and pre-image are still parallel lines when P is not on the line l.

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Answer:

Should look like this

Step-by-step explanation:

y-intercept = 2

slope = 1

In-depth interviews are a quantitative research method that uses a relatively small group of people for testing and is most helpful in obtaining data representative of the whole population. The correct option to this question is A.

Although you can use all of these techniques in your comprehensive customer experience management strategy, in-depth interviews can help you gather the information that can give you rich insights into the experiences and preferences of a large sample of your target audience.

An extensive amount of data can be gathered on the behavior, attitude, and perspective of the interviewers through in-depth interviews, a qualitative data collection technique.

Researchers and subjects are free to explore additional topics and alter the course of the interview when necessary during in-depth interviews. It is an independent research methodology that can use a variety of approaches depending on the needs of the study.

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Answer:

1250

Step-by-step explanation:

that's what I got please let me know if I'm correct

Answer:

The number of deliveries that are predicted to be made to homes during a week with 50 deliveries to business is 87 deliveries

Step-by-step explanation:

The data categorization are;

The number of home deliveries = x

The number of delivery to businesses = y

The line of best fit is y = 0.555·x + 1.629

The number of deliveries that would be made to homes when 50 deliveries are made to businesses is found as follows;

We substitute y = 50 in the line of best fit to get;

50 = 0.555·x + 1.629 =

50 - 1.629 = 0.555·x

0.555·x = 48.371

x = 48.371/0.555= 87.155

Therefore, since we are dealing with deliveries, we approximate to the nearest whole number delivery which is 87 deliveries.

Answer:87

Step-by-step explanation:

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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Answer:1/8

Step-by-step explanation:

Answer:

6 or 4

Step-by-step explanation:

put 4 on each table which means you need 6 tables

or

put 6 on each table which means you need 4 tables

Step-by-step explanation:

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