Expand and simplify:
a) -1/3{6(p+q)-3[p-2(p-3q)]}
A=-3p+4q

b) y-2/3(9x-3y)
A=-6x+3y

(The answer is written at the back of our books but I am struggling with the working I mean how to achieve the answer?)

The velocity of the object at time t = 2 sec is 46 m/s.

Given, Acceleration function is a(t) = r"(t) = 6t^2+6t+4.

Velocity function is given as v(t) = r'(t) = 2t^3 + 3t^2 + 4t + 10.

We have to find the velocity of the object at time t = 2 sec.

Therefore, substituting t = 2 sec in v(t),

we get:v(2) = 2(2^3) + 3(2^2) + 4(2) + 10= 16 + 12 + 8 + 10= 46

Therefore, the velocity of the object at time t = 2 sec is 46 m/s.

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Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

While equations 24 and 25 are equivalent, equation 23 is not since the two equations are not the same.

When the solution set for two equations is the same, the equations are said to be equivalent. For instance, the equations x + 2 = 6 and 2x = 8 have the same solution set when we solve them both as follows: x + 2 = 6. Take 2 away from both sides.

For instance, 1 + 1 is equivalent to 2, even if 2 is said to be equal to 2. When two items or amounts are exactly the same, such as when 12 is equal to 12, but 12 is equivalent to 2/4 since they symbolise.

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While equations 24 and 25 are equivalent, equation 23 is not since the two equations are not the same.

350 cheerleaders. the rate 5:7 is how many do a back tuck. soo the rate 5:7 is the same as 350:490 simplify is 35:49 simplifyed by 7 to 5:7 a

Step-by-step explanation:

the ratio is 5:7 for how many do a back tuck.

soo the rate 5:7 is the same as 350:490 // 35:49 // 5:7. hope that helps!!

Probability that he will make the next free throw is 0.89% if larry bird made approximately 89% of all free throws during his nba career.

During nba career he made approximate 89% of all free throws.

To calculate the probability of the next 10 free throws given which will be

= No. of possible outcome / Total no. of outcome

= 89 / 100

= 0.89 %

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcome like how likely they are.

P(A) = (# of ways A can happen) / (Total number of outcomes)

which means that Probability that he will make the next free throw is 0.89 %

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Answer:

The simplified expression is : -9c +1

Step-by-step explanation:

The like terms are -8c and -c

The constant term is 1

The simplified expression is :

-8c + -c + 1 = -9c +1

Answer:

-3

Step-by-step explanation:

Step 1: Solve (-2+(-1))^2/3 3

           1. -2+(-1) = -3

           2. (-3)^2 = 9

           3. 9/3 = 3

Step 2: Solve (-4)^2-17 -1

           1. 3/-1

Step 3: Simplify 3/-1 = -3. I hope this helped and please don't hesitate to reach out with more questions!

Answer:

I think its 12 not sure though because were 12 is it's a perfect triangle meaning the angles are the same

Answer:

C. \(9\pi\)

Step-by-step explanation:

We proceed to solve for \(x\) by the Pythagorean Theorem:

\((x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2}\) (1)

\(x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)\)

\(x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x + 17\)

\(4\cdot x^{2} -20\cdot x + 16 = 0\)

\((2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0\)

\((2\cdot x -8)\cdot (2\cdot x -2) = 0\)

There are two different solutions:

\(x_{1} = 4\), \(x_{2} = 1\)

A solution of \(x\) is considered realistic when the length of every side of the triangle is a not negative number.

\(x_{1} = 4\)

\(UV = 2\cdot (4) - 4\)

\(UV = 4\)

\(WU = 4 - 1\)

\(WU = 3\)

\(WV = 4 + 1\)

\(WV = 5\)

\(x_{2} = 1\)

\(UV = 2\cdot (1) - 4\)

\(UV = -2\)

\(WU = 1 - 1\)

\(WU = 0\)

\(WV = 1 + 1\)

\(WV = 2\)

The only realistic set of solutions is for \(x = 4\), and the radius of the circle is represented by the line segment \(WU\): \(r = 3\)

And the area of the circle (\(A\)) is calculated from the following formula:

\(A = \pi\cdot r^{2}\)

\(A = \pi\cdot (9)\)

\(A = 9\pi\)

The correct answer is C.

Answer:

-20

Step-by-step explanation:

Since x = 10, you would multiply -2 by 10

-2 is negative.

Therefore your answer is negative.

-20

Answer

-2x if x = 10 then the answer would be 20

Step-by-step explanation:

the answer is 20 because -2*10=20 and you have more positives than you do negatives so it would be positive 20

Answer:

y-7=4(x-11)

Step-by-step explanation:

y-y1=m(x-x1)

y-7=4(x-11)

The minimum distance the annihilation event could have occurred from the center of the machine is approximately 98.94 nanometers.

To determine the minimum distance the annihilation event could have occurred from the center of the machine, we can use the speed of light as a constant and the time difference between the collisions of the gamma rays.

The speed of light in a vacuum is approximately 299,792,458 meters per second (m/s).

Since the time difference between the collisions of the gamma rays is given as 0.33 nanoseconds, we need to convert this time to seconds. One nanosecond is equal to 1 × 10⁻⁹seconds.

0.33 nanoseconds is equal to 0.33 × 10⁻⁹ seconds.

Now, we can calculate the minimum distance using the equation:

Distance = Speed of light × Time

Distance = 299,792,458 m/s × 0.33 × 10⁻⁹ seconds

Distance ≈ 98.94 nanometers

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The Nyquist theorem is a fundamental concept in signal processing that relates to the sampling of analogue signals to obtain discrete signals without loss of information.

It states that to accurately reconstruct a continuous signal from its discrete samples, the sampling rate must be at least twice the highest frequency present in the signal.

The Nyquist rate is the minimum sampling rate required to satisfy the Nyquist theorem. It is equal to twice the maximum frequency component of the signal. In this case, the given analogue signal is x(t) = 20cos(4πt + 0.1). The highest frequency component in the signal is 4π, so the Nyquist rate would be 2 * 4π = 8π Hz.

The Nyquist interval refers to the time interval between consecutive samples in a discrete signal. It is the reciprocal of the Nyquist rate, which in this case would be 1/(8π) seconds.

To generate and plot the discrete signal x[n] from the given analogue signal x(t), we can use a sampling frequency of 10 Hz for a duration of 0.6 seconds. The Nyquist rate of 8π Hz is greater than the sampling frequency of 10 Hz, so we can accurately capture the signal.

Using the sampling frequency of 10 Hz, we can sample the analogue signal at equally spaced time intervals of 0.1 seconds (1/10 Hz). Since the duration is 0.6 seconds, we would obtain 0.6/0.1 = 6 samples.

To calculate x[n], we substitute the sampled time values into the analogue signal x(t). For example, at t = 0.1 seconds, x(0.1) = 20cos(4π(0.1) + 0.1) = 20cos(0.5).

Similarly, we calculate x[n] for each sampled time value and plot the resulting discrete signal x[n] against the corresponding time values.

For the second part of the question, we are asked to calculate and plot the output signal y[n] = 2x[n-1] + 3x[-n+3] based on the discrete signal x[n] obtained in part (b). We can substitute the values of x[n] into the equation to calculate y[n] for each index n and plot the resulting signal.

Please note that the plots and calculations involve specific values and operations that are not visible in plain text. I recommend using a mathematical software or programming language to perform the calculations and generate the plots based on the provided instructions.

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The required, ratio of sides that is equivalent to tan V is SU/VS.

In the given figure,
Consider the triangles VSU and VUT. By applying the tangent function to both triangles, we can establish the following relationships:

The tangent of angle V is equal to the ratio of side SU to side VS, i.e., tanV = SU/VS.

Similarly, the tangent of angle V is also equal to the ratio of side UT to side VU, i.e., tanV = UT/VU.

By utilizing the tangent function in these two triangles, we can derive these equations.

Thus. the required, ratio of sides that is equivalent to tan V is SU/VS.

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The number of edges is 9. The correct option is B.

A vertex is a point in geometry where two or more curves, lines, or edges come together. Vertices are frequently represented by the letters P, Q, R, or S. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedra.

The given figure is in two parts. The bottom is a rectangular prism and the top is a pyramid with a square base.

The number of the edges will be calculated as below:-

Total edges = Number of the edges of Pyramid  + Number of the edges of the prism

Total edges = (5 - 4)  + 8

Total edges = 9

Therefore, the number of edges is 9. The correct option is B.

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Answer:

11

Step-by-step explanation:

Substitute the given value (5) into the function and evaluate

Answer:

f(5) = 11

Step-by-step explanation:

Substitute x = 5 into f(x) , that is

f(5) = 7 - 2(3 - 5)

     = 7 - 2(- 2)

     = 7 + 4

     = 11

3) The extra number of feet of coiled tubing Tom needs to run into the well is: 5445 ft

4) The total length of coiled tubing Brendan ran in the wellbore is: 994 ft

5) The distance that the coiled tubing has reached after the first four hours is:  a depth of 16,776 feet in the well.

3) Initial amount of coiled tubing he had after 81 minutes = 9,153 feet

Amount of tubing after another 10 minutes = 10,283 feet

The total tubing required = 15,728 feet.

The extra number of feet of coiled tubing Tom needs to run into the well is: Needed tubing length - Current tubing length

15,728 feet - 10,283 feet = 5,445 feet

4) Speed at which Brendan is running coiled tubing = 99.4 feet per minute.

Coiled tubing inside the wellbore after 8 minutes is: 795.2 feet

Coiled tubing inside the wellbore after 2 more minutes is: 198.8 feet

The total length of coiled tubing Brendan ran in the wellbore is:

Total length = Initial length + Additional length

Total length =  795.2 feet + 198.8 feet

Total Length = 994 feet

5) Rate at which coiled tubing is being run into a 22,000-foot wellbore = 69.9 feet per minute. After the first four hours, we need to determine how deep the coiled tubing has reached.

A time of 4 hours is same as 240 minutes

Thus, the distance covered in the first four hours is:

Distance = Rate * Time

Distance = 69.9 feet/minute * 240 minutes

Distance = 16,776 feet

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Answer:

BC = 30

Step-by-step explanation:

If the three points are collinear, it means they lie on the same straight line.

Now B lies between A and C

By mathematical convention;

AC = AB + BC

This means;

48 = 2x + 2 + 3x + 6

48 = 5x + 8

48-8 = 5x

5x = 40

x = 40/5

x = 8

From the question BC = 3x + 6

Substitute the value of x; 3(8) + 6 = 24 + 6 = 30

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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Answer: Equation using slope intercept from y= -(5/2)x +26

Step-by-step explanation:

Write an equation of the line (in slope-intercept form) that is perpendicular to the line y=(2/5)x-(1/5) and contains the point (-4,16).

The line given is y=(2/5)x-(1/5)

Which we can rewrite in y= mx+b form as

y=(2/5)x-(1/5)

So slope of this line is (2/5)

A line perpendicular will have slope = -(5/2) ,  Which is (1/m)

Equation of new line will be

y = -(5/2)x +b

Now we need to find b

Plug in Point (-4,16)

Replace with the (-4,16) values

16 = (5/2) (-4) +b

solve it, 16=(-10)+b

16+10=b

b=26

Equation using slope intercept from y= -(5/2)x +26

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Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

the average is calculated as

average = \(\frac{sum}{count}\)

given that the average of both sets of data are equal then

\(\frac{4+x}{2}\) = \(\frac{2+8+x}{3}\) ( cross- multiply )

3(4 + x) = 2(10 + x) ← distribute parenthesis on both sides

12 + 3x = 20 + 2x ( subtract 2x from both sides )

12 + x = 20 ( subtract 12 from both sides )

x = 8

Answer:

?=5

Step-by-step explanation:

8

\( {8}^{4 - 2 +3} = {8}^{?} \\ {8}^{5} = {8}^{?} \\ 5 = {?}\)

Answer:

2 and 9

Step-by-step explanation:

The times spent in training is an illustration of proportions

The times spent in training is 80 hours

The given parameters are:

Time spent = 6 hours

Time spent as a percentage = 7.5%

Let the total time spent in training be x.

The scenario is represented by the following equation

Time spent = Time spent as a percentage  * Total Time

So, we have:

6 = 7.5% * x

Express percentage as decimal

6 = 0.075 * x

Divide both sides by 0.075

80 = x

Rewrite as:

x = 80

Hence, the times spent in training is 80 hours

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Hi king,

Let's split it into two prisms.

\(V_{1}=5cm*10cm*3cm\\V_{1} =150cm^{3}\)

\(V_{2}=5cm*10cm*(9cm-5cm)\\V_{2}=5cm*10cm*4cm\\V_{2} =200cm^{3}\)

The prism in the picture:

\(V_{final}=150cm^{3} +200cm^{3} \\V_{final}=350cm^{3}\)

Have a good day.

Answer:

9/2 or 4 1/2 or 4.5

Step-by-step explanation:

4+1/2=8/2+1/2=9/2

Answer:

es 4 1/2 creo

Step-by-step explanation:brainliest plis

Answer:

The first term is when n= 1

3(1)+2 = 3+2

= 5

The second term is when n= 2

3(2)+2 = 6+2

= 8

The third term is when n=3

3(3)+2 = 11

Answer:

5, 8, 2

Step-by-step explanation:

.............pi

The equation can be written as 6 + (-6y) = -6y - 1 + (7).

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The given is an equation with missing parts.

The left hand side of the equation does not contain a term with variable, but the right hand side contains it.

Adding that term in the left hand side, we get, 6 + (-6y) in the left hand side.

So the right hand side must be equal.

So the expression in the right hand side is -6y - 1 + (7).

Hence the expressions are 6 + (-6y) on the left hand side and  -6y - 1 + (7) on the right hand side.

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