what is equation is equivalent to 6(3p-2)=20?

Answer:

(12÷s)·60

Step-by-step explanation:

The hours it takes is 12/s so you multiply 60 to get the minutes. Next time, I would reccomend asking for help from the teacher or doing homework help, instead of putting all the RSM questions online. Thank you and have a good day :)

Answer:

12/s

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

the equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through

the line passes through (- 8, 1 ) and (7, 1 )

both with y- coordinates of 1 , then

y = 1 ← is the equation of the line

Answer: Wilber would save more, because he borrowed $15,000 more in principal.

Step-by-step explanation:

Answer:

Answer: Wilber would save more, because he borrowed $15,000 more in principle.

Step-by-step explanation:

Answer:

Let p(x) = x3 + ax2 + bx +6

(x-2) is a factor of the polynomial x3 + ax2 + b x +6

p(2) = 0

p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0

7 +2 a +b = 0

b = - 7 -2a -(i)

x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.

p(3) = 3

p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3

11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)

Equating the value of b from (ii) and (i) , we have

(- 7 -2a) = (-10 - 3a)

a = -3

Substituting a = -3 in (i), we get

b = - 7 -2(-3) = -7 + 6 = -1

Thus the values of a and b are -3 and -1 respectively.

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Answer:

p > 8

Step-by-step explanation:

p - 2 > 6

Add 2 to each side

p > 8

Answer:

b = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - 2 , then

y = - 2x + b ← is the partial equation

To find b substitute (5, - 7 ) into the partial equation

- 7 = - 10 + b ⇒ b = - 7 + 10 = 3

To evaluate if the athletes have improved in their flexibility, the physical therapist should run a paired t-test.

A paired t-test is appropriate in this scenario because the therapist is comparing the flexibility of the same group of athletes before and after the yoga training program. This test allows for the comparison of the mean flexibility scores within the same group, taking into account individual differences among the athletes.

Here's how the paired t-test works step-by-step:

1. First, the therapist would collect flexibility measurements from the 50 athletes before starting the yoga training program.
2. After the six-week program, the therapist would measure the athletes' flexibility again.
3. The therapist would then calculate the difference in flexibility scores for each athlete by subtracting the pre-training flexibility score from the post-training flexibility score.
4. Next, the therapist would calculate the mean difference in flexibility scores for the entire group.
5. The therapist would also calculate the standard deviation of the differences.
6. Using these calculated values, the therapist would perform the paired t-test to determine if there is a statistically significant difference in flexibility before and after the yoga training program.
7. The result of the t-test would provide a p-value, which indicates the probability of obtaining the observed difference in flexibility scores by chance alone.
8. If the p-value is below a predetermined significance level (typically 0.05), the therapist can conclude that the athletes' flexibility has improved significantly due to the yoga training program.

By running a paired t-test, the physical therapist can objectively evaluate whether the athletes have experienced a statistically significant improvement in their flexibility after participating in the six-week yoga training program.

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Answer:

2 years

Step-by-step explanation:

because 4.5 percent of 9000 is 405

405 times 2 is 810

so 2 years

The scale factor of the dilation is 2 which can be shown in the details given below.

In geometry, a line segment is bounded with the aid of using awesome factors on a line. Or we are able to say a line phase is a part of the road that connects  factors. A line has no endpoints and extends infinitely in each the course however a line phase has constant or particular endpoints.

QS : QS'

= 4 : 8

= QU : QU'

= 5 : 10

= 1 : 2

Then the scale factor is of the dilation is 2 (magnification).

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Complete question

Line segment SU is dilated to create S'U' using point Q as the center of dilation.

The scale factor of the dilation is:

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

k = 9/2

Step-by-step explanation:

Constant of proportionality, k = y/x

given: x/y = 2/9

since k = y/x, therefore, k value will now be inverse of 2/9, which is 9/2

Answer:

x=1

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2.3x −3.2 + 1.6x = 0.7x

2.3x + − 3.2 + 1.6x = 0.7x

(2.3x + 1.6x) + (−3.2 )= 0.7x (Combine Like Terms)

3.9x + −3.2 = 0.7x

3.9x − 3.2 = 0.7x

Step 2: Subtract 0.7x from both sides.

3.9x − 3.2 − 0.7x = 0.7x − 0.7x

3.2x − 3.2 = 0

Step 3: Add 3.2 to both sides.

3.2x − 3.2 + 3.2 = 0 + 3.2

3.2x = 3.2

Step 4: Divide both sides by 3.2.

x = 1

Hope this helps!!!!!

Since 50 is an even number, we know that x will be even if y is even (50 times an even number is still even) and odd if y is odd (50 times an odd number is odd). Therefore, the only answer choice that must be odd is x+y.

Given that x and y are integers and x = 50y + 69, let's determine which of the following expressions must be odd.

1. xy: Since x is odd (50y + 69), when it is multiplied by any integer y, the result will always be odd. Therefore, xy must be odd.

2. x + y: If x is odd, adding it to an even integer (y) would result in an odd number. However, adding it to an odd integer (y) would result in an even number. Therefore, x + y does not necessarily have to be odd. xy: We can't determine if this is odd or even without knowing the values of x and y.
- x+y: This expression is always odd. To see why, consider two cases:

If x and y are both odd, then x+y is even+odd=odd.
If x and y are both even, then x+y is even+even=even.
If one of x and y is odd and the other is even, then x + y is odd + even =odd.

3. x+2y: We can't determine if this is odd or even without knowing the values of x and y.
3x-1: This expression will be odd if x is odd (3 times an odd number is odd) and even if x is even (3 times an even number is even).
3x+1: This expression will be odd if x is even (3 times an even number plus 1 is odd) and even if x is odd (3 times an odd number plus 1 is even).
x + 2y: Since x is odd and 2y is always even, their sum must be odd. Therefore, x + 2 y must be odd.

4. 3x - 1: This expression is odd, since 3x will always be odd (as x is odd) and subtracting 1 from an odd number results in an even number. Therefore, 3x - 1 does not necessarily have to be odd.

5. 3x + 1: This expression is odd, since 3x will always be odd (as x is odd) and adding 1 to an odd number results in an even number. Therefore, 3x + 1 must be odd.

In conclusion, the expressions that must be odd are xy, x + 2y, and 3x + 1.

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Answer:

2.75

Step-by-step explanation:

3/4 is .75 in decimal

Answer: A

Step-by-step explanation:

we have the following:

Therefore, the answer is (x + 27, x + 1)

Answer:

x = -10

Step-by-step explanation:

Perform the indiated multiplication.  Recalling that 6(1/3) = 2, we get:

2x + 2 = 3x + 12

Combining like terms:

-10 = x

Answer:

x = -10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6 (1/3x + 1/3) = 3 (x + 4)

(6)( \(\frac{1}{3}x\)) + (\(\frac{1}{3}\)) = (3) (x) + (3) (4) (Distribute)

2x + 2 = 3x + 12

Step 2: Subtract 3x from both sides.

2x + 2 − 3x = 3x + 12 − 3x

−x + 2 = 12

Step 3: Subtract 2 from both sides.

−x + 2 − 2 = 12 − 2

−x = 10

Step 4: Divide both sides by -1.

\(\frac{-x}{-1}\)  =  \(\frac{10}{-1}\)

x = -10

Answer:

7x

Step-by-step explanation:

Suppose that, \(\displaystyle{e^{\ln ax} = ax}\), let's prove that the following equation is true for all possible x-values (identity).

First, apply the natural logarithm (ln) both sides:

\(\displaystyle{\ln \left( e^{\ln ax} \right)=\ln \left(ax\right)}\)

From the property of the logarithm - \(\displaystyle{\ln a^b = b\ln a}\). Therefore,

\(\displaystyle{\ln ax \cdot \ln e = \ln ax}\)

ln(e) = 1, so:

\(\displaystyle{\ln ax \cdot 1 = \ln ax}\\\\\displaystyle{\ln ax = \ln ax}\)

Hence, this is true. Thus, \(\displaystyle{e^{\ln ax} = ax}\), and \(\displaystyle{e^{\ln 7x} = 7x}\).

Answer:

C.

Step-by-step explanation:

hope this helps!! :)

Answer: i think c

Step-by-step explanation:

The statement that is FALSE is Reducing the variation of a process will increase the width of a given Confidence Interval relative to that process.

As the confidence level increases the width of the confidence interval also increases. A larger confidence level increases the chance that the correct value will be found in the confidence interval, so option A is true

When estimating the standard deviation in calculating confidence intervals, make sure you use the t tables, we need the t table to estimate SD, so option B is true

A larger sample size or lower variability will result in a tighter confidence interval with a smaller margin of error. A smaller sample size or a higher variability will result in a wider confidence interval with a larger margin of error.

So option c is false, the crrect option is C

Therefore, The statement that is FALSE is Reducing the variation of a process will increase the width of a given Confidence Interval relative to that process.

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Answer:

EASY. x=-3

Step-by-step explanation:

You need to divide 21 by -7. You'll get the same answer as me

Hope this helped!!

Answer:

\( \sf \: x = - 3\)

Step-by-step explanation:

Given equation,

\( \sf \rightarrow \: \frac{21}{x} = - 7\)

Now the value of x will be,

\( \sf \rightarrow \: \frac{21}{x} = - 7 \)

\( \sf \rightarrow \: - 7x = 21\)

\( \sf \rightarrow \: x = \frac{ \: 21 \: }{ - 7 \: } \)

\( \sf \rightarrow \boxed{ \sf x = - 3}\)

Hence, the value of x is -3.

The estimation of the equation 1/6 + 5/6  is 1 (option C).

For rounding a fraction to the nearest whole number, use the "rounding half up" rule if necessary.

To estimate the solution for the equation 1/6 + 5/6, we can round each fraction to the nearest whole number.

The fraction 1/6 is closer to 0 than it is to 1, so we will round it to 0.

The fraction 5/6 is closer to 1 than it is to 0, so we will round it to 1.

Now we can estimate the solution for the equation as follows:

0 + 1 = 1

Therefore, the estimated solution for the equation 1/6 + 5/6 is 1.

The correct answer is C. 1.

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For the angular velocity of the gear, you'll need to gather relevant information about the gear, calculate the linear velocity, and use the formula = v / r. The velocity of the center "O" is always 0 as it does not move linearly.

To determine the angular velocity and the velocity of the center 'O' of the gear at the given instant, you will need to follow these steps:

Step 1: Identify the relevant information.
First, gather information about the gear, such as its radius, the speed at which it is rotating, and any other relevant details. To determine the angular velocity of the gear and the velocity of its center at the instant shown, we need to know the radius of the gear and the speed of its rotation. The angular velocity of the gear can be calculated by dividing the speed of rotation by the radius of the gear. The velocity of the center of the gear can be calculated by multiplying the angular velocity by the radius of the gear.

Step 2: Calculate the angular velocity.
Angular velocity () can be calculated using the formula  = v / r, where 'v' is the linear velocity at the edge of the gear and 'r' is the radius of the gear.

Step 3: Find the linear velocity at the edge of the gear.
This can typically be given or can be determined based on the information provided.

Step 4: Calculate the angular velocity.
Plug the values of linear velocity (v) and radius (r) into the formula  = v / r to find the angular velocity.
Angular velocity = (speed of rotation) / (radius of gear)
Velocity of center = (angular velocity) x (radius of gear)

Step 5: Determine the velocity of the center 'O'
Since the center 'O' of the gear is the point around which the gear rotates, its velocity is 0, as it does not move linearly.

In summary, to find the angular velocity of the gear, you'll need to gather relevant information about the gear, calculate the linear velocity, and use the formula  = v / r. The velocity of the center "O" is always 0 as it does not move linearly.

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Answer:

\(2(5 \times 7) + 874 - 982 \\ 2(35) + - 108(bodmas \: rule) \\ = 2 \times 35 - 108 \\ = 70 - 108 \\ = - 38 \\ thank \: you\)

Answer:

42

Step-by-step explanation:

-14 1/9 is about -14.

-2 9/10 is about -3.

Multiplying these, we get (-14)(-3)=42.

Answer:9/25

Step-by-step explanation:

I just did the assignment

Answer:

9/25

Step-by-step explanation:

To prove the given properties of the relation < being an order relation on R, we need to show that they hold for all elements [pn], [qn], and [rn] in R. Here's an outline of the proof for each property:

1. [pn] < [qn] ⇒ [pn] + [rn] < [qn] + [rn]:

  - Assume [pn] < [qn].

  - By definition of the order relation, this means pn < qn.

  - Adding the real number rn to both sides, we have pn + rn < qn + rn.

  - By the definition of addition in R, this implies [pn] + [rn] < [qn] + [rn].

  - Thus, the property is satisfied.

2. [pn], [qn] > 0R ⇒ [pn] ⋅ [qn] > 0R:

  - Assume [pn] and [qn] are both positive in R.

  - By definition of positivity in R, this means pn > 0 and qn > 0.

  - Multiplying pn and qn, we have pn ⋅ qn > 0 (since the product of two positive numbers is positive).

  - By the definition of multiplication in R, this implies [pn] ⋅ [qn] > 0R.

  - Thus, the property is satisfied.

To complete the proof, you would need to provide more detailed explanations and justifications for each step. This would involve referencing the definitions and properties of the order relation <, addition, and multiplication in R, as well as the properties of real numbers. By carefully explaining each step, you can establish the validity of the given properties for the order relation < on R.

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Answer:

x = -3

y = 2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(-3,2)

Equation Form:

x = -3, y = 2