Hi can someone plss help me with these 2 questions. Im really struggling with them.

Answer:

i didn't understand what your question is

Based on the given information, we know that x must be 2 since it is the only even prime number. We also know that y must be either 11, 13, 17, or 19 since those are the only prime numbers between 10 and 20.

So, the sum of x and y can be 2 + 11 = 13, 2 + 13 = 15, 2 + 17 = 19, or 2 + 19 = 21.

Out of these four possible sums, only 13, 17, and 19 are prime numbers. Therefore, we can say that the sum of x and y may or may not be a prime number, depending on the specific values of x and y.

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Answer:

Substitute 3x - 5 for y in the second equation.

Step-by-step explanation:

Generally, to solve the system of linear equations of x and y, the first step would be trying to eliminate x (or y).

Then turn the system into the equation of only y (or x).

Next, try to solve for y (or x).

Then substitute the solved y (or x) into the original system to work out x (or y).

**********

3 options (1 addition, 2 subtractions) do not eliminate x or y (x and y still exist after manipulation).

=> Remaining option relating substitution would be a reasonable choice.

Answer:

C. Test for Goodness-of-fit.

Step-by-step explanation:

C. Test for Goodness-of-fit would be most appropriate for the given situation.

A. Test Of  Homogeneity.

The value of q is large when the sample variances differ greatly and is zero when all variances are zero . Sample variances do not differ greatly in the given question.

B. Test for Independence.

The chi square  is used to test the hypothesis about the independence of two variables each of which is classified into number of attributes. They are not classified into attributes.

C. Test for Goodness-of-fit.

The chi square test is applicable when the cell probabilities depend upon unknown parameters provided that the unknown parameters are replaced with  their estimates and provided that one degree of freedom is deducted for each parameter estimated.

Answer:

Step-by-step explanation:

1024  Km/h  * 2.4 hours

= 2457.4 km

Answer:

Step-by-step explanation:

x=-4±√23

Answer:

x=-4±√23

Step-by-step explanation:

Answer:

60°  and 180°

Step-by-step explanation:

Sum of interior angles of a polygon = (n - 2) × 180°

(where n is the number of sides)

A hexagon has 6 sides

⇒ Sum of interior angles of a hexagon = (6 - 2) × 180° = 720°

Let x = smallest unknown angle

Therefore, 3x = largest unknown angle

Sum the angles and solve for x:

⇒ 114° + 130° + 140° + 96° + x + 3x = 720°

⇒ 480° + 4x = 720°

⇒ 4x = 720° - 480°

⇒ 4x = 240°

⇒ x = 60°

Therefore, smallest unknown angle = 60°

and largest unknown angle = 3 × 60° = 180°

Answer:

1. radius = 8.4 cm

2. diameter = 9 m

Step-by-step explanation:

Hope it helps!         :3

plz mark as brainliest!

Answer:

1. the radius is 8.4  2. the diameter is 9

Step-by-step explanation:

Radius is half of diameter

So you would do 16.8 / 2 = 8.4

2. Diameter is radius times 2

4.5 ( 2 ) = 9

Hope this helps dude

Answer: 25

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

We can use the equation:

x + (x + 1) + (x + 2) + (x + 3) = 22

Combine like terms

4x + 6 = 22

Subtract 6 from both sides

4x = 16

Isolate x

x = 4

Plug in x

4 + (4 + 1) + (4 + 2) + (4 + 3) = 22

Solve

4 + 5 + 6 + 7 = 22

7 is the greatest integer

Answer:

r<9

Step-by-step explanation:

r/3 + 5 < 8

Subtract 5 from each side

r/3 + 5-5 < 8-5

r/3 < 3

Multiply each side by 3

r/3 *3 <3*3

r<9

Answer:

opposite sides of parallelogram are parellel.

so, angle A and angle D are co interior angle.

(3x+4)°+x°=180°

4x+4=180°

4x=180°- 4

4x=176°

x=176°/4

x = 44°

(3x+4)

=3×44+4

=136°

Answer:

243

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

Answer: y-7 =0

Step-by-step explanation: after applying m=y1-y2/x1-x2 you get 0/-7 which means that the slope is 0

Answer:

This is prime.  (No factors),

Step-by-step explanation:

3x^2 + x + 15.√

This is not possible

Find complex roots using the formula

x = [-1 +/- √1^2 - 4*3*5)] / 6

x = -1/6 +/- √-179) / 6

x = -1 +/- i√179/ 6

So we can write the factors as:

(x - (-1 - i√179/ 6)(x  - (-1 + i√179/ 6)

= (x + 1 + i(√179/ 6)) (x + 1 - i(√179/ 6))

Maybe that is what they want.

Answer:

4x² + 11x + 6 = (x + 2)(4x + 3)

The sequence an​ = 3n/ 3n+10,n≥1 is an increasing sequence. The answer is (b) Increasing.

To determine the monotonicity of the sequence an​ = 3n/ 3n+10,n≥1, we need to analyze whether the terms in the sequence are increasing or decreasing.

To do this, we can take the first derivative of the sequence with respect to n:

d(an)/dn = (9n+30)/(3n+10)^2

If the first derivative is positive for all values of n, then the sequence is increasing. If the first derivative is negative for all values of n, then the sequence is decreasing. If the first derivative changes sign at some point, then the sequence is non-monotonic.

Simplifying the first derivative, we get:

d(an)/dn = 9(1+3/n)/(1+10/n)^2

Since (1+3/n) and (1+10/n) are always positive for n≥1, the sign of the first derivative is determined solely by the sign of 9. Since 9 is positive, the first derivative is positive for all values of n.

Therefore, the sequence an​ = 3n/ 3n+10,n≥1 is an increasing sequence. The answer is (b) Increasing.

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The monotonicity of the sequence an = 3n / (3n + 10), n≥1 is  Increasing.(B)

To determine the monotonicity, we'll compare the terms an and an+1 for n≥1. If an+1 > an, the sequence is increasing; if an+1 < an, it's decreasing; otherwise, it's non-monotonic.

Consider the terms:
an = 3n / (3n + 10)
an+1 = 3(n+1) / (3(n+1) + 10)

We want to show that an+1 > an. To do this, we'll first find a common denominator:

an = (3n)(3n + 13) / [(3n + 10)(3n + 13)]
an+1 = (3n + 3)(3n + 10) / [(3n + 10)(3n + 13)]

Comparing the numerators:
(3n + 3)(3n + 10) > (3n)(3n + 13)

Expanding both sides:
9n² + 30n + 30 > 9n² + 39n

Subtract 9n² from both sides and simplify:
30n + 30 > 39n
9n > 30
n > 10/3

Since n≥1, this inequality holds for all n, so the sequence is increasing.(B)

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When x does not have full rank, it means that the columns of x are not linearly independent. This means that there exists a non-zero vector b such that xb = 0. Let's see why px = x when this is the case.

First, let's recall what the projection matrix p is. The projection matrix p is defined as p = x(xTx)-1xT. This matrix projects any vector onto the column space of x.

Now, let's see what happens when we multiply px:
px = x(xTx)-1xTx
Since xTx is a scalar, we can write this as:
px = x(xTx)-1(xTx)
px = x

So we can see that px = x when x does not have full rank. This is because the projection matrix p projects any vector onto the column space of x, and when x does not have full rank, the column space of x is the same as the column space of px.

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Option D cannot be evaluated to determine if -286 is its 50th term.

Based on the information provided, none of the given sequences can be identified as having -286 as its 50th term.

Let's evaluate each option to determine which sequence has -286 as its 50th term.

A) An alternating geometric sequence where the 43rd term is 4 and the 45th term is 16:

To determine the common ratio, we divide the 45th term by the 43rd term:

16 / 4 = 4.

Since this is an alternating geometric sequence, the terms alternate between positive and negative. However, since the common ratio is positive, this sequence will only have positive terms.

Therefore, option A cannot have -286 as its 50th term.

B) An arithmetic sequence where the 5th term is 7 and the 6th term is 10:

To determine the common difference, we subtract the 5th term from the 6th term:

10 - 7 = 3.

To find the 50th term, we use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n - 1) * d,

where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.

a_50 = 7 + (50 - 1) * 3

a_50 = 7 + 49 * 3

a_50 = 7 + 147

a_50 = 154.

Since the 50th term of this arithmetic sequence is 154, option B cannot have -286 as its 50th term.

C) -8, 2, -4...

This sequence alternates between -8 and 2. To find the pattern, we can observe that each term is multiplied by -1 to get the next term. However, there is no indication of a geometric or arithmetic relationship between terms.

Therefore, option C cannot have -286 as its 50th term.

D) P, -326, -324, 322...

Since the sequence starts with P and there is no information given about its value, we cannot determine the specific value of the 50th term.

Therefore, Option D cannot be tested to see if -286 is the 50th term.

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The expression ********** can be represented as 3333333333 in base four, 4444444444 in base five, and 7777777777 in base eight, according to the respective numerical systems.

a) In base four, each digit can have values from 0 to 3. The symbol "*" represents the value 3. Therefore, when we have ten "*", we can express it as 3333333333 in base four.

b) In base five, each digit can have values from 0 to 4. The symbol "*" represents the value 4. Hence, when we have ten "*", we can represent it as 4444444444 in base five.

c) In base eight, each digit can have values from 0 to 7. The symbol "*" represents the value 7. Thus, when we have ten "*", we can denote it as 7777777777 in base eight.

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For the point 13. we have that the line passes through the points (-1,-2) and (0,1) then the slope is

and the line equation will be:

For the point 14: we have that the line passes through the points (-1,0) and (0,-1) then the sslope is:

and the line equation will be:

For the point 15: the line equation is y=-3 because the y coordinate will be always the same (-3) and the slope of the line will be equal to zero

Answer:

Step-by-step explanation:

AD = \(\frac{AC}{2}\)

AD = DC = 12

AC = 2AD = 24

~~~~~~~~~~~~~~~~

\(\frac{4y-36}{2}\) = 12

2y - 18 = 12

y = 15

(a) The initial speed of the projectile - 28.2m/s

(b)The total time interval the projectile was in flight - 4.07s.

a) When a projectile is launched with speed \(v_{i}\) at an angle above the horizontal, the initial velocity components are \(v_{xi}\) = \(v_{i}\) cos\(θ\) and                  \(v_{yi}\)= \(v_{i}\) sin\(θ\) . Neglecting air resistance, the vertical velocity when the projectile returns to the level from which it was launched (in this case, the ground) will be \(v_{y} = - v_{yi}\) .

From this information, the total time of flight is found  \(v_{yf} = v_{yi} + a_{y}\) to be

         \(t_{total} = \frac{v_{yf} - v_{yi} }{a_{y}}\)   = \(\frac{-v_{yi} - v_{yi} }{-g}}\)  = \(\frac{2v_{yi} }{g}\)

         \(t_{total} = \frac{2v_{i}sinθ }{g}\)

Since the velocity of a projectile with no air resistance is constant, the horizontal distance it will travel in this time is given by

R = \(v_{xi} t_{total} = (v_{i} cosθ_{i}) \frac{2v_{i}sinθ }{g}\)  =  \(\frac{v^{2}_{i}}{g}( 2sinθ_{i} cosθ_{i} )\) = \(\frac{v^{2} _{i} (sin2θ_{i} ) }{g}\)

Thus, if the projectile is to have a range of R=81.1m when launched at an angle of \(θ_{i}\)=45.0°, the required initial speed is

\(v_{i} = \sqrt{\frac{81.1 * 9.80}{sin90} }\) = 28.2 m/s

Therefore, the initial speed of the projectile - 28.2m/s

b) With \(v_{i}\)=28.2m/s and \(θ_{i}\) = 45.0°, the total time of flight (as found

above) will be

        \(t_{total} = \frac{2v_{i}sinθ }{g}\)  = \(\frac{2(28.2 m/s) sin45}{9.80m/s^{2}}\) = 4.07s

∴The total time interval the projectile was in flight - was 4.07s.

c) Note that at \(θ_{i}\) =45.0° that sin(2\(θ_{i}\)) will decrease as \(θ_{i}\) is increased above this optimum launch angle. Thus, if the range is to be kept constant while the launch angle is increased above 45.0°, we see from \(v_{i}\) = \(\sqrt{\frac{Rg}{sin2θ_{i}} }\)that the required initial velocity will increase.

Observe that for \(θ_{i}\) <90°, the function sin\(θ_{i}\) increases as \(θ_{i}\) it increased. Thus, increasing the launch angle above 45.0° while keeping the range constant means that both \(v_{i}\) sins will increase. Considering the expression  \(t_{total}\) given above, we see that the total time of flight will increase.

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The correct question is :

The record distance in the sport of throwing cowpats is 81.1m. This record toss was set by Steve Urner of the United States in 1981. Assuming the initial launch angle was 45° and neglecting air resistance, determine (a) the initial speed of the projectile and (b) the total time interval the projectile was in flight. (c) How would the answers change if the range were the same but the launch angle was greater than 45°? Explain.

Answer: (

20

,

38

]

Step-by-step explanation:

(20,38]

The expanded form for given expression y(3.05x−3.75​)−2.25y will be in form of a linear equation = 3.05yx - 6y.

What is linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now

By Solving y(3.05x−3.75​)−2.25y

=3.05yx -3.75y - 2.25y

=3.05yx - 6y

Hence,

            expanded form will be in form of a linear equation = 3.05yx - 6y.

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