Solve for x in this figure.



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x = °

The distance of point from the axis of rotation of the second hand is 8.2 cm.

Here,

A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2.

We have to find the distance of point from the axis of rotation of the second hand.

What is Rotation?

The circular motion of an object around the circle is called Rotation.

Now,

Let us consider the equation for the centripetal acceleration given by;

[tex]a_{c} = \frac{v^{2} }{r}[/tex]

where, v is the velocity and r is the radius.

Now, the velocity can be expressed as;

[tex]v = wr = \frac{2\pi r}{T}[/tex]

where, ω is the angular velocity and T is the period.

Solving for the radius using these equations given as;

[tex]a_{c} = \frac{v^{2} }{r}\\\\v^{2} = a_{c} r\\\\(\frac{2\pi r}{T} )^2 = a_{c} r\\\\\frac{4\pi ^{2}r^{2} }{T^{2} } = a_{c} r\\\\r = \frac{T^{2} a_{c} }{4\pi ^{2} } \\\\r = \frac{(60s)^2(0.09 cm/s^2)}{4\pi ^{2} } \\\\r = 8.2 cm[/tex]

Hence, The distance of point from the axis of rotation of the second hand is 8.2 cm.

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Measure of angle 1 is 50° and that of angle 2 is 130°

The sum of all the angles on a straight line is equal to 180°.

Here, we are given two angles ∠1 and ∠2

Also, we are given that

m∠1 = (x+24)°

and m∠2 = 5x°

As we can see from the given figure, ∠1 and ∠2 lie on a straight line

⇒ m∠1 + m∠2 = 180

⇒ (x+24) + 5x = 180

x + 24 + 5x = 180

x + 5x + 24 = 180

6x + 24 = 180

6x = 180 - 24

6x = 156

x = 156/ 6

x = 26

Therefore,

m∠1 = 26 + 24

= 50

and m∠2 = 5(26)

= 130

Thus, the measure of the two angles is 50° and 130°

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Your question was incomplete. Check for the missing figure below.

The approximation for the square root of 15 is given as follows:

To approximate the square root of a number x by perfect square approximation, we have to find two numbers:

Then, the square root of x will be on a compound interval between a and b.

For this problem, we have that:

Hence, the approximation for the square root of 15 is given as follows:

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4 cm  is the height of the parallelogram.

What in mathematics is a parallelogram?

The area is always given by squared units and never by single units!

The area of a parallelogram is given by the equation

A = b * h

             b is the base length of the parallelogram

             h is the height of the parallelogram

And so, plugging in our given values, we get

24cm² = 6 cm . h

h = 24 cm/6cm

h = 4 cm

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The complete question is -

The area of a parallelogram is 24 centimeters and the base of the parallelogram is 6 centimeters. What is the height of the parallelogram?

It is found that Linear Equation: P = 0.008T + 0.13 and Price of stamp in 2015 = $0.45

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

From 1975 to 2005, 30 years, the price increased from 0.13 to 0.37.

This means the rate of change (slope) = 0.24/30 = 0.008

This means Price changed (increased) by $0.008 per year.

Slope = 0.008

The y-intercept (P) is at the starting point which is at T = 1975; the price was 0.13. Hence y-intercept is 0.13

The equation of a line is given as;

P = mT + b

Where m is the slope and b is the y-intercept.

Now, we can write the linear model equation as;

P = 0.008T + 0.13

Then to find the price of stamp in 2015, we see that this is 40 years later after 1975. So we plug in 40 into T in the equation found above;

P = 0.008(40) + 0.13

P = $0.45

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Answer: the type of function is linear.

I hoped this helped!

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Answer:

The answer is -4.

Step-by-step explanation:

Whenever you're adding a positive number to a negative number you are basically subtracting. So 3+-7 will be -4.

Testing for within × within and between × within moderation using random intercept cross-lagged panel models "allow measurement decomposition into between- & within components and have thus are becoming famous for testing developmental hypotheses."

Cross lagged panel design is a form of structural equation model in which data is gathered at a number of points in time. It is primarily used to assess causal relationships (which may be bi-directional) in a non-experimental setting, where variables are not controlled but simply recorded.

According to cross-lagged panel design analysis:

If we understand that X and Y are correlated but with us data shows no conclusive correlation (neither rX1Y2 or rX2Y1 are significantly different from zero), it is possible that our time lag was just too short (or too long) to enable causal influences to operate, and we need to redesign our experiment.

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Answer:

-18

Step-by-step explanation:

x=???

First, we know that the number we are looking for is divisible by 3. So lets list so numbers that are divisible by 3:

all (+,-) 6,9,12,15,18,........

Second, since we know the answer has to be in the double digits from the list we can have only 3 possibles answers.

12÷3=4
4-4=0

-12÷3=-4
-4-4=-8

So 12 nor -12 cant be the answer

18÷3=6
6-4=2

-18÷3=-6
-6-4=-10

So, the answer to the problem is -18÷3-4=-10

297 mm is  nearest millimetre complete this statement .

The definition of convert units?

1 cm = 10mm

the length of a sheet of paper = 29.7 cm

the nearest millimetre = 29.7 * 10 = 297 mm

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Answer:

[tex]49n^2-70n+25[/tex]

Step-by-step explanation:

Since one side of the square is (7n-5), the area of the square must be [tex](7n-5)^2[/tex]. Simplifying we get [tex]49n^2-70n+25[/tex].

Step-by-step explanation:

= -7ab² + 9a³b

= -7b × ab + 9a² × ab

= ab × (-7b + 9a²)

Answer:

0.18

Step-by-step explanation:

Given: 60% students were in high school, 40% were in middle school and of the high school students, 30% had visited a foreign country

To find: probability that the student is in high school and has visited a foreign country

Solution:

Let x denotes total number of students

Number of students in high school = 60% of x =

Number of students in middle school = 40% of x =

Number of students who are in high school and have visited foreign country =  30% of Number of students in high school =

Probability that the student is in high school and has visited a foreign country = Number of students who are in high school and have visited foreign country/ Total number of students =

Answer:

Step-by-step explanation:

160% Was surveyed!

40% of 400

Answer:23

Step-by-step explanation: take -15 and negate it which will set you at 15 then add 8 will put you at 23degrees

Answer is x ≤ - 4

According to the question ,

- 3 ≥ x + 1

rearrange the equation

x + 1 ≤ - 3

x ≤ - 4  {solution of inequality}

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign

While graphing inequalities, we have to keep the following things in mind.

For graphing inequalities with two variables, you will have to plot the "equals" line and then, shade the appropriate area. There are three steps:

Write the equation such as "y" is on the left and everything else on the right.

Plot the "y=" line (draw a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade the region above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

If the endpoint is included (i.e., in case of ≤ or ≥) use a closed circle.

If the endpoint is NOT included (i.e., in case of < or >), use an open circle.

Use open circle at either ∞ or -∞.

Draw a line from the endpoint that extends to the right side if the variable is greater than the number.

Draw a line from the endpoint that extends to the left side if the variable is lesser than the number.

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Answer:

yo same

Step-by-step explanation:

ur lookin pretty shreksy

the answer

155

324

5/9 (87/3(1/12)= 155/324

Answer: 14

207+14 = 221

221/17 = 13 (so the sum of 207 and 14 is divisible by 17)

An example of a systematic random sample will be selecting 4 balls from a bag containing. The correct option is B.

A probability sampling technique called systematic sampling involves picking people from the population at regular intervals, such as every 15th person on a list of the population. This can mimic the advantages of straightforward random sampling if the population is arranged in random order.

Here we have two options a.) selecting all the students in a class of 30.

b.) Select 4 balls from a bag containing 30 balls.

Out of the two options, a systematic random sample will be Select 4 balls from a bag containing 30 balls.

Therefore, the correct option is B.

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one on right is 2,-2 and one on left is -1,1

4:21 are the odds against exactly 55 cars passing over the bridge in that time.

What is Probability?

Probability of 0.16, thus, for 100 trials, 16 successes and 84 failures, and the odd is:

16:84, which, simplifying by 4, is 4:21.

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Answer: 18

Step-by-step Explanation:

Subtract: 5 from 41 | 41-5= 36

Divide: by 2 | 36/2= 18

Answer:18

Step-by-step explanation:

SUBTRACT41 FROM 5

THAT GIVES YOU 38

THEN DIVIDE 38/2 AND IT WILL GIVES 18

[tex]\displaystyle\\Answer:\ x=\sqrt{2}\ \ \ \ \ x=-\sqrt{2}\ \ \ \ \ x=\frac{ln5}{2}[/tex]

Step-by-step explanation:

[tex]5x^2-x^2e^{2x}+2e^{2x}=10[/tex]

[tex]Let:\ x^2=t \ \ \ \ \ e^{2x}=v\\Hence,\\5t-tv+2v^2=10\\5t-tv+2v^2-10=10-10\\5t-tv-10+2v^2=0\\t(5-v)-2(5-v)=0\\(5-v)(t-2)=0\\5-v=0\\5-v+v=0+v\\5=v\\5=e^{2x}[/tex]

Prologarithmize both parts of the equation:

[tex]ln5=lne^{2x}\\ln5=2x*lne\\ln5=2x*1\\ln5=2x\\[/tex]

Divide both parts of the equation by 2:

[tex]\displaystyle\\x=\frac{ln5}{2}[/tex]

[tex]t-2=0\\t-2+2=0+2\\t=2\\x^2=2\\x=\sqrt{2} \\x=-\sqrt{2}[/tex]

The Probability that no person is next to their partner is 104/105.

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

Permutations is defined as arrangement of elements/objects in a particular way.

According to the question ,

8 people can be arranged in 8! ways = 40320ways

First let us find the probability that person is next to their partner.

4 couples can be arranged in 4! ways

and the couple itself can be arranged in 2! ways

Since there are 4 couples ,

Number of arrangement = [tex]4!(2!)^{4}[/tex]

=24x16

=384 ways

Probability that person is next to their partner = [tex]\frac{384}{40320} =\frac{1}{105}[/tex]

and the probability that no person is next to their partner is [tex]1-\frac{1}{105} =\frac{104}{105}[/tex].

Therefore , the probability that no person is next to their partner is [tex]\frac{104}{105}[/tex].

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The percent of simple interest that the account has will be 7.2%.

From the information, Kehlani invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by 1.072.

The percent of simple interest that the account has will be:

= 1.072 - 1

= 0.072

= 7.2%

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The irreversible loss of an island from over 100 acres in size to less than 3 acres is an example of the irreversible nature of human change.

Human activity has lead to the change of Earth's climate in unimaginable ways over the last thousand years. Some of these changes are so significant that they are practically inevitable and irreversible.

Due to global warming, the planet's temperature is increasing gradually every year. This change in climate causes polar ice caps to melt and increases the water level.

Islands, which are pieces of land in between water bodies, are reducing in size due to this. The increased water level submerges some or all parts of an island. This is especially threatening for small islands.

This is not only dangerous for the human and wildlife population of these islands, but also for the general habitability. Due to frequent flooding, soil salinity increases and this makes it difficult to cultivate these islands.

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The ideal substitute is OBS Studio, which is both open source and free. Simple Screen Recorder, Camtasia Studio, are other fantastic applications.

What is Windows Gamebar?

Is audio captured by Windows game capture?

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Answer:

D. (2z-1)

Step-by-step explanation:

If you solve 6x^2-3z-2+4z you should get (2z-1)(3z+2). Which automatically gives you a factor of 2z-1.

Table C has a constant proportionality between y and x of 0.3.

A constant is an expression-unchanging value or number. It always has the same value.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.

The answer is the same as the one in the y column when you multiply the x number in table C by 0.3. The value that remains constant in the ratio is the proportionality constant. It is evident that table C is accurate because when you multiply each value in the x column by 0.3, the result is always the value in the y column.

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Answer: The height of the tree is 35.4 ft.

Step-by-step explanation:

14.16/1.2 = 11.8

3 * 11.8 = 35.4