An object moves with a constant acceleration of a=2m/s² without other forces intervening, one second after being observed its position is x- 14 meters and another second later its position is x-42 meters. The initial position and the initial velocity of the object are.
a. x(0) = - 10 m y x' (0) = 22m/s
b. x(0) = - 0 m y x' (0) = 0m/s
c. x(1) = - 14 m y x' (2) = 42m/s
d. x(0) = - 12 m y x' (0) = 25m/s

Answer: 7

Step-by-step explanation:

A function composed with its inverse results in an output equal to the original input.

Answer:

y = -5/3(x) + 10

Step-by-step explanation:

Slope intercept form is in the form of y = mx + b

M is the slope and b is the y-intercept.

We want to isolate the y in this equation so we subtract both sides by 5x and get.

3y = -5x + 30

Now we can divide both sides by three to leave y by itself.

y = -5/3(x) + 10

As a result, Bank Padarn's AER is 2.0186%. This shows that Bank Padarn gives a greater interest rate when compared to the AER provided by Banc Teilo (1.9%).

A benchmark 30-year fixed mortgage's current average interest rate is 6.91% as of today, Tuesdays, March 21, 2023, a decrease of 3 basis points from seven days ago. If you're looking to refinance your mortgage, the current average 30-year fixed interest rate of 6.93%, which has been constant over the past week.

We must convert a nominal rate provided by Bank Padarn to the an AER in order to contrast the two rates.

AER is calculated as (1 + r/n)n - 1 where r is just the nominal rate of return & n is the annual frequency of interest payments.

r = 1.98% and n = 12 for Banc Padarn (since interest is paid monthly). The algorithm yields the following results when we enter these values: AER Equals (1 + 0.0198/12)12 - 1 ≈ 0.020186 = 2.0186%

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Answer:

subtract the numbers\(9 - 4 =5 = -5a + 5\)

Step-by-step explanation:

( a ) = a

( 9 - 2a ) = 9 - 2a

= 9 - 2a - 4 -3a

- (a + b ) = -a -b

-( 4 + 3a ) = -4 - 3a

= - 2a - 3a + 9 - 4

- 2a - 3a = - 5a       = -5a + 9 - 4

give me a thanks

Using linear function concepts, it is found that:

a) The initial value is of 3 and the rate of change is of 20.

b) The rate of change means that for each hour, the cost increases by 3 Dhs, while the initial value means that a flat fee of 20 Dhs is paid.

A linear function is modeled by:

\(y = mx + b\)

In which:

In this problem, the function that gives the charge C for renting a bicycle for h hours is:

\(C(h) = 3h + 20\)

Item a:

Comparing to the standard function, we have that:

Item b:

The rate of change means that for each hour, the cost increases by 3 Dhs, while the initial value means that a flat fee of 20 Dhs is paid.

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2.4kg.,

..

hope it helps

Answer:

Step-by-step explanation:

Monday he is left with 20,

Tuesday he will start with 20 and end with 10

Wednesday he will start with 10 and end with 5

Thursday he will Start with 5 and end with 2.5

Friday Start with 2.5

which is >3

Answer:

D) Friday

Hope it helps...

The test hypothesis using 0.05 significance level has the following results:

Part 1:

State the null and alternative hypotheses for treatments:

Null hypothesis=treatment means do not differ

Alternative hypothesis=The means are different

State the decision rule for treatments:

Table value of F(1,2)=18.51

If the calculated F>18.51, reject the null hypothesis

Decision: Treatments

Calculated F=43.75 >18.51, here, we reject the null hypothesis

Hence, we conclude that the treatment means differ.

Part 2:

State the null and alternate hypotheses for blocks.

Null hypothesis=block means do not differ

Alternative hypothesis: At least on pair of means are different

Also, state the decision rule for blocks:

Table value of F(2,2)=19.0

If the calculated F >19.0, reject the null hypothesis

Decision: Blocks

Calculated F=8.14 < 19.0, we do not reject the null hypothesis

Hence, we conclude that the block means do not differ.

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Answer:

C. 12

Step-by-step explanation:

Answer:

The answer is c. 12

Step-by-step explanation:

Did the test got it right

Answer:13/6/7

Step-by-step explanation:

A line passes through point A(14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

Answer:

Parralel lines have equal slopes. Perpendicular lines have inverse opposite slopes. For exampl 2 and -1/2 are perpendicular.

Parralel is your answer

Step-by-step explanation:

Answer:

For every x value, the y value would be double of the x value. (ex, x=2, y=4)

Step-by-step explanation:

If you look closely at every x value and see their y-values for the ordered pair, you will see that the x-value in question was doubled in order to find the y-value. This will result in the linear equation: \(y=2x\).

Answer:

6288388288288828ffjfjjrjir

Answer:

n³ - 7

Step-by-step explanation:

number = n

because 7 is less then the number cubed it's being subtracted by n³

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

In graphical form, the normal distribution appears as a "bell curve".

The normal distribution is the proper term for a probability bell curve.

In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.

Normal distributions are symmetrical, but not all symmetrical distributions are normal.

The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

Therefore,

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

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Answer:

Step-by-step explanation:

Yes

You almost have an isosceles triangle. The lengths of the longest line segments differ by by 0.3. So the base of the triangle is 2.8 and the long segments are connected to each other and each of them at end of 2.8

Note: I don’t really like giving people answers. but i like them to learn. So i will teach you how to find a average of something, and using that method try to solve this problem

To find a average of something all you need to do is to add the numbers up and divide it by the total  is. As for example, pretend we have two bags, one with 5 marbles and the other one with 3 marbles. now you have to add them all up 5+3=8. Know we know the total numbers of marblas. So we know we have to bags right?l we divide 8 by 2 which is 4. i really hope you learned how to find the average of something. Hope this helps a lot!

9514 1404 393

Answer:

  F  HL

Step-by-step explanation:

No right angle is shown, so the HL theorem cannot be used.

Answer:

9 inches

Step-by-step explanation:

The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below

The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size

population standard deviation = 36

sample size = 144

standard deviation of the sample mean = 36/ sqrt(144)

                                      =36/12

                                        =3

The margin of error is  the number of standard deviations above  the mean * the standard deviations

margin of error  = 3 * 3

                         = 9 inches

Answer:

(x+3)(y+2)

Step-by-step explanation:

(xy+2x)+(3y+6)

x(y+2)+3(y+2)

(x+3)(y+2)

Answer:

433345344 Answer

Step-by-step explanation:

The value of the missing angle is calculated as: ∠BGC = 76°

The parameters are given as:

∠AGB = 35°

∠AGE = 69°

From angle theorems, we know that the sum of angles on a straight line is 180°. If we split any straight line into smaller angles, all of these angles would then be summed up to make 180° which is the same as with a triangle. Angles in a straight line are a very useful problem solving tool for many geometric problems.

Thus:

∠AGB + ∠AGE + ∠BGC = 180°

Thus:

35 + 69 + ∠BGC = 180

∠BGC = 180 - (69 + 35)

∠BGC = 76°

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The format of the data set appears to be unstacked.

Unstacked data refers to data that is organized in separate columns for each variable or category. In this case, the table likely has separate columns for the GPA of students in the morning math class and the afternoon math class.

Each row in the table would represent a student and contain separate entries for their GPA in the morning and afternoon classes. This allows for easy comparison of GPAs between the two classes as each class has its own column.

Therefore, based on the given information, the format of the data set is unstacked.

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Answer:

Step-by-step explanation:

1.  Two people, A and B, are on each end of a 50 foot rope and wish to communicate only with the rope.  They may do so by moving the rope up and down, using the height of the movement to transmit in Morse code.  For A to move B's side of the rope, A must add energy to the rope by moving it up and down on their end.  That energy is transmitted by virtue of the rope movement (up and down) as it moves from A to B.  When that energy reaches B's end of the rope, B can sense the energy by the rope's movement.  But the rope has not changed - it is still the same rope.  The molecules in the rope simply carried the energy in the form of waves along the rope.

2.  Wavelength:  Listening to music illustrates how the wavelength of a sound wave is used to convey meaning in what we call a melody.  

Velocity:  Light travels faster than sound.  Watching a fireworks display, one can easily predict when to cover their ears if a particularly loud firework explodes in the sky.  One can see the explosion well before the sound arrives.

3.  Amplitude:  Amplitude, or the intensity of sound, is evidence by how loud something is.  Hearing a person speak from across the gym is difficult if that person is far away.  But the same voice is easily heard as one approaches, even though it is the same voice.  The amplitude is the height of the sound wave - it carries more energy than a sound wave of the same frequency with a lower amplitude.  Sound energy dissipates the further it travels.

The mean of the test scores is 90.

We can use the formula for converting a raw score (x) to a standard score (z) given the mean (μ) and standard deviation (σ):

z = (x - μ) / σ

In this case, we know that x = 84, z = -1.5, and σ = 4. We can solve for μ as follows:

-1.5 = (84 - μ) / 4

Multiplying both sides by 4, we get:

-6 = 84 - μ

Subtracting 84 from both sides, we get:

μ = 84 - (-6) = 90

Therefore, the mean of the test scores is 90.

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Answer:

A.

Step-by-step explanation:

Step-by-step explanation:

since you know already that you need the law of cosine (which is nothing else than the generalization of Pythagoras from right-angled triangles to general triangles), why don't you just apply it ?

the law of cosine :

c² = a² + b² - 2ab×cos(C)

c is the side opposite of angle C, a and b are the other 2 sides.

our angle C is here now the angle QPR. the opposite side is QR = 3.

so, we have

3² = 2² + 4² - 2×2×4×cos(QPR) = 4 + 16 - 16×cos(QPR)

9 = 20 - 16×cos(QPR)

-11 = -16×cos(QPR)

cos(QPR) = -11/-16 = 11/16 = 0.6875

FYI : that means

angle QPR = 46.56746344...°

A horizontal parabola with a right-facing opening and a vertex at (1,1) is we have positive direction.

In order to make the coefficients of either the variable x or the variable y numerically equal, first multiply both of the following equations by any suitable non-zero constants.

Finding the single equation of a curve in standard form with only the variables xs and ys constitutes the cartesian equation of that curve. You must simultaneously solve the parametric equations in order to arrive to this equation.

X and Y both

are t-related functions.

We have t=y1 after solving y=t+1 to get t as a function of y.

Thus, given x=t2+1, we have x=(y1)2+1x1=(y1) by substituting t=(y1).

A horizontal parabola with a right-facing opening and a vertex at (1,1) is what we have positive direction.

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Answer:

A=16

Step-by-step explanation:

6=A/4+2

-2       -2

4=A/4

x4  x4

16=A