The degree of precision of a quadrature formula whose error term is 29 f'"" (E) is: 5 4 2 3.

The equation of the line in function notation is  

\(y = mx - 3m - 2\)  

Step 1: y - (-2)

To write the equation of the line in function notation, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is a point on the line. In this case, the slope is given as "m," and the point (x1, y1) is (3, -2).

Substituting these values into the equation, we get:

y - (-2) = m(x - 3)

Simplifying the expression in the left-hand side, we get:

y + 2 = m(x - 3)

This is the equation of the line in point-slope form. To write it in function notation, we can solve for y:

y = mx - 3m - 2

This is the equation of the line in function notation. We can use this equation to find the y-value of the line for any given x-value. For example, if we want to find the y-value of the line when x = 5, we can substitute x = 5 into the equation and solve for y:

y = m(5) - 3m - 2 = 2m - 2

So when x = 5, the y-value of the line is 2m - 2.

Question: Andy wrote the equation of a line that has a slope of "m" and passes through the point (3, -2) in function notation. Write the equation of the line in function notation, showing the first step of your work.

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Answer:

$3.96

Step-by-step explanation:

If he gave $.88 per each pound he bought all you have to do is multiply $.88 by how many pounds he bought 4.5. $.88x4.5 equals $3.96

Answer:

$3.96

Step-by-step explanation:

0.88*4.5= 3.96

Answer:

\(8 \frac{1}{3} \div 4 \frac{1}{2} = \frac{50}{27} = 1.851 = 1 \frac{23}{27} \)

Answer:

55 degrees

Step-by-step explanation:

To solve this problem, all you have to do is 60 + 65 and subtract it from 180. We can do this because those 3 angles create a linear pair.

Answer:  55

Step-by-step explanation:

The 3 angles form a line,  <4   60 and 65.   since it is a line the 3 angles add up to 180

<4 +60 + 65 =180    solve for <4 by subtracting 60 and 65 from both sides

<4 = 55

Give the OTHER guy brainliest please.  I liked his answer.

Answer:

I believe it is 30 toy planes

Hope this helps.

Step-by-step explanation:

toy cars - 2 = 12

toy planes - 5 = 30

total - 7 = 42

The rat population in the abandoned high rise is projected to be approximately 110 in 2030, based on the given information.

The rate of rat population growth in the abandoned high rise is proportional to the fifth root of its size. Let's denote the rat population at a given year as P and the year itself as t. We can express the relationship as a differential equation:

\(dP/dt = k * (P)^{1/5}\), where k is a constant of proportionality.

Using the given data, we can set up two equations:

For 2020, P = 32 and t = 0.

For 2024, P = 77 and t = 4.

To solve for the constant k, we can use the equation:

\((dP/dt) / (P)^{1/5} = k\)

Substituting the values from 2020 and 2024, we get

\((77-32) / (4-0) / (32)^{1/5} = k\)

Now, we can integrate the differential equation to find the population function P(t). Integrating \((dP/dt) = k * (P)^{1/5}\) gives us \(P = [(5/6) * k * t + C]^{5/4}\), where C is the integration constant.

Using the point (0, 32), we can find \(C = (32)^{4/5} - (5/6) * k * 0\).

Now, we can substitute the values of k and C into the population function. For 2030 (t = 10), we get P = \([(5/6) * k * 10 + (32)^{4/5}]^{5/4}\) ≈ \(110\).

Therefore, the rat population in the abandoned high rise is projected to be approximately 110 in 2030.

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Answer:

that doesn't make sense.

Step-by-step explanation:

Answer:

x5

Step-by-step explanation:

Answer:

(x - 1) (x + 4)

Step-by-step explanation:

Using the Real rate of return,

the real value of the invetment at the end of one year is $1058.

Real rate of return:

The real rate of return is the present value of the return on investment after taxes and inflation.

By considering the expected inflation rate and the effective interest rate in the compounding interval, we can derive the real interest rate.

Real Rate Of Return Formula,

Real rate of return = [( 1+ Nominal rate )/(1+ inflation rate) ] - 1

The principal amount of investment by Mr.X ( A)

= $1,000

The nominal or current rate of interest (i)= 10%

The rate of inflation ( π )= 4%

pulging all the values in above formula we get,

rate of return (R) =[ ( 1 + i ) /(1+π)] - 1

=> R =[ (1+0.1 )/(1+0.04) ] - 1 = (1.1 / 1.04 ) - 1

=> R = 0.05769(approx.)

=5.8%(approx.)

so, real rate of return = 5.8%

Real value of investment after a year = principle amount (A) + { real rate return × principle amount}

Real value of investment =$1,000+{5.8%×$1,000}

=$1,000+$58

=$1,058

Hence, real value of investment at the end of year is $1,058.

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Answer:

Value is 90,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

90000 or Ninety Thousand

Further explanation

Problem: given 293,672.

Question: what is the value of the digit 9.

This is a problem with place value.

Let's set the place values from 293,672 consecutively as follows.

In the thousands period: 9 hundred thousand, 1 ten thousand, 3 one thousand.

In the unit's period: 2 hundreds 5 tens 6 ones.

Let us say in word form: nine hundred thirteen thousand two hundred fifty-six.

Hence, the value of the digit 9 in the numbers 293,672 is 90000 or nine hundred thousand.

- - - - - - -

What is the value of the digit 1 in the numbers 913,256? The answer is 10,000 or ten thousand.

- - - - - - -

Notes:

Just as a reminder, the digits in large numbers are in groups of three places, i.e.,

hundreds,

tens,

ones (or units).

The groups are called periods, i.e.,

millions period;

thousands period;

ones or units period.

Commas are typically used to separate the periods.

Learn more

An example of the four types of number form brainly.com/question/4725342

The similar problem brainly.com/question/106975

What 3 digits are in the units period of 4,083,817?  brainly.com/question/558692

Keywords: what is the value of the digit 9 in the numbers 913,256, the units period, a large number, standard form, millions, thousands, hundreds, tens, ones, the place value, nine, thirteen, two, fifty-six, number form

Answer:

Lily would present after Edward

Step-by-step explanation:

Catherine must present after Ted. Therefore we have Ted, Catherine.

There must be one presenter between Bianca and Catherine, therefore we have: Bianca, x, Catherine. x is the name of the presenter between  Bianca and Catherine. Since Ted presents immediately before Catherine, x = Ted. This means we have Bianca, Ted, Catherine.

There must be at least two other people must present after Edward and before Ted. This means we have Edward, y, Bianca, Ted, Catherine. y is the name of the presenter between Edward and Bianca.. Since we have only five presenters, the only presenter remaining is Lily.

Therefore the presenters are arranged as:

Edward, Lily, Bianca, Ted, Catherine.

Lily is the second to present. Lily would present immediately after Edward and before Bianca

Answer:

5

Step-by-step explanation:

The slope is 5 because for every 5 units, the graph increases, it advances to the right by 1 unit. Since slope is defined by change in y divided by change in x, the slope is 5/1 which is 5.

Hope this helps :)

The first triangle have area equal to 16 square units

The second triangle have area equal to 14 square units

The third triangle have area equal to 12 square units

For any triangle, the area is calculated as half the base multiplied by the height of the triangle, that is;

Area of triangle = 1/2 × base × height

For the first triangle,

base = 8 units

height = 4 units

Area = 1/2 × 8 × 4 square units

Area = 16 square units

For the second triangle,

base = 7 units

height = 4 units

Area = 1/2 × 7 × 4 square units

Area = 14 square units

For the third triangle,

base = 6 units

height = 4 units

Area = 1/2 × 6 × 4 square units

Area = 12 square units

Therefore, the area of the first, second and third triangles are 16, 14, and 12 square units respectively.

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Answer:

54,436.004 and 247,892.984

Step-by-step explanation:

Answer:

third and fourth

Step-by-step explanation:

The mean of T is -10 and the standard deviation of T is √425 when X1 and X2 are independent.

To find the mean of T, we can use the properties of expected values. Since T = 11X1 - 2X2, the mean of T can be calculated as follows: E(T) = E(11X1) - E(2X2) = 11E(X1) - 2E(X2) = 11(10) - 2(20) = -10. To find the standard deviation of T, we need to consider the variances and covariance of X1 and X2. Since X1 and X2 are independent, the covariance between them is zero. Therefore, Var(T) = Var(11X1) + Var(-2X2) = 11^2Var(X1) + (-2)^2Var(X2) = 121(2^2) + 4(3^2) = 484 + 36 = 520. Thus, the standard deviation of T is √520, which simplifies to approximately √425. When X1 and X2 have a correlation of -0.76, the mean and standard deviation of T remain the same as in the case of independent variables. To calculate the probability P(T > 30) when X1 and X2 are independent, normally distributed variables, we need to convert T into a standard normal distribution. We can do this by subtracting the mean of T from 30 and dividing by the standard deviation of T. This gives us (30 - (-10))/√425, which simplifies to approximately 6.16.  We can then look up the corresponding probability from the standard normal distribution table or use statistical software to find P(T > 30). The probability will be the area under the standard normal curve to the right of 6.16.

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Answer:

-2

Step-by-step explanation:

y^3=-8.

y=cube root of -8 = -2

Answer:

Step-by-step explanation:

1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6

Now we can use this answer to help find out the amount remaining in the tank.

5 minutes = 5x6=30; 1000-30= 970 gallons

20 minutes= 20x6=120; 1000-120= 880 gallons

30 minutes=30x6=180; 1000-180= 820 gallons

27 minutes=27x6=162; 1000-162= 838 gallons

X minutes = 1000-6x

Rate of flow is 6 gallons per minute.

Hope this helps!

Answer:

#3; Domain stays the same, but the range changes.

Step-by-step explanation:

All of the x values, stay the same, but because of the reflection the y-values change due to everything becoming greater than 2 rather than less than 2.

Answer:

C) The domain stays the same, but the range changes.

✿---✿--❀---❀---✿---✿

hope it helps...

have a great day!!

The composite function F(G(H(x))) depends on G(H(x)), option D is correct.

A function depends on its argument (the stuff in parentheses after the function name).

The argument of function F in F(G(H(x))) is G(H(x)).

F(G(H(x))) depends on G(H(x))

Answer choices A and C do not make any statement about the given composition.

Answer choice B shows a composition (H(G(x))) that has no relation to the argument of function F.

Hence, the composite function F(G(H(x))) depends on G(H(x)).

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Which of the following is true of the composition F(G(H(X)))?

A. The function G(F(H(x))) depends on G(H(x)).

B. The function F(G(H(x))) depends on H(G(x)).

C. The function H(G(F(x))) depends on G(F(x)).

D. The function F(G(H(x))) depends on G(H(x)).

Consider using 3D printing technology to create the spherical fountain. This would allow for precise and customizable designs, and could potentially be more cost-effective than traditional manufacturing methods for complex shapes.

Use a mathematical formula to design the fountain. Here are the steps to design a spherical fountain:

Determine the desired size of the fountain. This will be the diameter of the sphere. Let's say your client wants a fountain with a diameter of 6 feet.

Calculate the radius of the sphere by dividing the diameter by 2. In this case, the radius is 3 feet.

Use the formula for the surface area of a sphere to determine the surface area of the fountain. The formula is: SA = 4π\(r^2\), where r is the radius of the sphere and π is a mathematical constant (approximately 3.14). In this case, the surface area is:

SA = 4π\((3)^2\)

SA = 4π(9)

SA = 36π

SA ≈ 113.1 square feet

Use the desired water flow rate to determine the volume of water that will flow through the fountain per minute. Let's say your client wants a flow rate of 50 gallons per minute.

Use the formula for the volume of a sphere to determine the volume of the fountain. The formula is: V = (4/3)π\(r^3\). In this case, the volume is:

Calculate the amount of time it will take for the fountain to cycle through all of its water. This is known as the turnover time, and it is important to maintain water quality. The turnover time is calculated by dividing the volume of water in the fountain by the flow rate. In this case, the turnover time is:

Use these calculations to design the fountain, taking into account any necessary adjustments for the manufacturer's limitations.

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Full Question: Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to modify the sphere to a series of cylindrical slabs with gradually decreasing radii.

The average waiting time for a customer should be about 1.056 minutes.

Waiting time is described as the total time that a patient spends in a facility from arrival at the registration desk until the time she/he leaves the facility or last service.

coefficient of variation=  0.4,

We apply the formula

coefficient of variation = standard deviation / mean

0.4 = standard deviation / (1/15)

standard deviation = 0.4 * (1/15) = 0.0267 hours

processing time = 3/60 = 0.05 hours

standard deviation = 0.0267 hours

we then find the average time spent in the system:

Ts = average time in the system = processing time + waiting time

W = (1 / (20 - 15)) x  (0.75 / (1 - 0.75)) x  (0.05 + W)

W = 0.75 / 5 * (0.05 + W)

W = 0.015 + 0.15W

0.85W = 0.015

W = 0.0176 hours or 1.056 minutes

Therefore, the average waiting time for a customer should be about 1.056 minutes.

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(a) ∫2t+1​dt

Integration by substitution, also known as u-substitution, is a technique used to simplify integrals. We use the variable u as a substitute for a function inside a larger function. We then change the integral so that it is only in terms of u, and we integrate it before reversing the substitution and substituting the original variable back in. The integral we are given can be solved using u-substitution as follows:

Let u = 2t + 1.

Therefore, we can express t in terms of u as:

t = (u - 1)/2

Substituting this value of t into the integral, we have:

∫2t+1​dt= ∫2((u - 1)/2)+1​dt= ∫u+1/2dt

Now we can integrate the function using the power rule of integration, which is to raise the variable by one and divide by the new exponent:

∫u+1/2dt= (2/3) u3/2 + C

We then replace u with our original value of t in the solution:

∫2t+1​dt = (2/3) (2t + 1)3/2 + C

(b) ∫x2ex3dx

Let u = x3.

Therefore, we can express dx in terms of u as:

dx = (1/3)u-2/3du

Substituting this value of dx and x into the integral, we have:

∫x2ex3dx= ∫u2/3eudu

Now we can integrate the function using the power rule of integration, which is to raise the variable by one and divide by the new exponent:

∫u2/3eudu= 3/2 u2/3 e + C

We then replace u with our original value of x in the solution:

∫x2ex3dx = 3/2 x2/3 e x3 + C

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Answer:

look down

Step-by-step explanation:

let length be" x"

accroding to question

breadth= 2x/3

we know,

Area of rectangle= l × b

384=x × 2x/3

calculate

Answer:

h is 9 inches

Step-by-step explanation:

just substitution, easy

75π=2π\(r^{2}\)(h)(1/3）

Solution:

Given:

\(\bullet \ \ \text{Volume of party hat} = 75\pi \text{ inches}^{3}\)

\(\bullet \ \ \text{Radius of party hat:}\ 5 \ \text{inches}\)

Recall that the formula to find the volume of a cone is πr²h/3. Now, let's use the formula to find the height.

\(\bullet \rightarrow \text{Volume of cone:} \ \dfrac{ \pi r^{2} h}{3}\)

\(\bullet \rightarrow \text{Volume of party hat} =\dfrac{ \pi r^{2} h}{3} = 75\pi \text{ inches}^{3}\)

\(\bullet \rightarrow \dfrac{ (\pi )( 5^{2})( h)}{3} = 75\pi \text{ inches}^{3}\)

\(\bullet \rightarrow (\pi )( 5^{2})( h)} = 75\pi \times 3\)

\(\bullet \rightarrow { (\pi )( 25)( h)}= 225\pi\)

\(\bullet \rightarrow \dfrac{{ (\pi )( 25)( h)}}{25} = \dfrac{225\pi}{25}\)

\(\bullet \rightarrow { (\pi )( h)}= 9\pi\)

\(\bullet \rightarrow \dfrac{{ (\pi )( h)}}{\pi } =\dfrac{ 9\pi}{\pi }\)

\(\bullet \rightarrow \boxed{\bold{h= 9 \ \text{inches}}}\)

Thus, the height of the party hat is 9 inches.

Solution :

a). \($P(0)$\) is true

Then ,\($P(0+2)=P(2)$\) is true.

         \($P(2+2)=P(4)$\) is true

          \($P(4+2)=P(6)$\) is true.

Therefore, we see that \($P(n)$\) is true for all the even integers : \($\{0, 2,4,6,...\}$\)

b). \($P(0)$\) is true

Then ,\($P(0+3)=P(3)$\) is true.

         \($P(3+3)=P(6)$\) is true

          \($P(6+3)=P(9)$\) is true.

Therefore, we see that \($P(n)$\) is true for all the multiples of 3 : \($\{0, 3,6,9,12,...\}$\)

c). \($P(0)$\) and \($P(1)$\) is true, then \($P(0+2)=P(2)$\) is true

\($P(1)$\) and \($P(2)$\) is true, then \($P(1+2)=P(3)$\) is true.

\($P(2)$\) and \($P(3)$\) is true, then \($P(2+2)=P(4)$\) is true.

So, we observe that  \($P(n)$\) is true for all the non- negative integers : \($\{0, 1,2,3,4,5,6,...\}$\).

d). \($P(0)$\) is true,

   So, \($P(0+2)$\) and \($P(0+3)$\) is true or \($P(2)$\) and \($P(3)$\) is true.

   Now,   \($P(2)$\) is true.

Again, \($P(2+2)$\) and \($P(2+3)$\) is true or \($P(4)$\) and \($P(5)$\) is true.

   Now, \($P(3)$\) is true.

Again, \($P(3+2)$\) and \($P(3+3)$\) is true or \($P(5)$\) and \($P(6)$\) is true.

Thus,

\($P(n)$\) is true for all the non- negative integers except 1 : \($\{0, 2,3,4,5,6,...\}$\).

Answer:

m(arc)PM = 139°

Step-by-step explanation:

m<N = (1/2)[m(arc)PM - m(arc)OM]

59 = (1/2)[m(arc)PM - 21]

118 = m(arc)PM - 21

m(arc)PM = 139°

Answer:

7

Step-by-step explanation:

4+6+7+8+10= 35/5= 7

Median and Mean= 7