can someone help me pleaseee?


1) x + 8 = - 1
2) 8 + x = - 9
3) 5 + x = 1
4) 18 + x = 7
5) 16 + x = - 1
6) 7 + x = 5
7) 27 + x = 7
8) 5 + x = 16
9) x - 32 = - 54
10) x + 26 = 62

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

The position of the mass at any time t is: u(t) = (2/12)cos(22.81t) - 5.71sin(22.81t)

The motion of the mass can be described by the following second-order linear differential equation:

mu''(t) + ku(t) = 0

where m is the mass, k is the spring constant, and u(t) is the position of the mass at time t.

We can find k from the given information about the spring:

k = F/x

where F is the force exerted by the mass and x is the displacement of the spring.

F = mg = 3 lb * 32.2 ft/\(s^2\) = 96.6 lbft/\(s^2\)

x = 3 in - 1 in = 2 in = 2/12 ft

k = 96.6/(2/12) = 579.6 lb/ft

Substituting these values into the differential equation, we get:

3u''(t) + 579.6u(t) = 0

The characteristic equation is:

3*r^2 + 579.6 = 0

Solving for r, we get:

r = ±sqrt(-1932)/3 = ±22.81i

The general solution is:

u(t) = c1cos(22.81t) + c2sin(22.81t)

To find the constants c1 and c2, we need to use the initial conditions. At t = 0, the mass is at its maximum displacement, so:

u(0) = c1 = 2/12 ft

u'(0) = -22.81*c1 + c2 = -2 ft/s

Solving for c1 and c2, we get:

c1 = 2/12 ft

c2 = -22.81*c1 - 2 ft/s = -5.71 ft

Therefore, the position of the mass at any time t is:

u(t) = (2/12)cos(22.81t) - 5.71sin(22.81t)

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Answer

Just flip it upside down.

Step-by-step explanation:

Answer:

108 seconds and 0.03 hours

Answer:A

Step-by-step explanation:I took the test already trust me

Answer:

0.51 or 51%.

Step-by-step explanation:

If there were 100 students in the school, then  38 have a dog 24 a cat and 11 have both.

So there are 38 - 11 = 27 who only have a dog and 24-11 = 13 who only have a cat.

So total number having a pet = 27+11+13

= 51 students.

So Prob(You will choose a student with a pet) = 51%.

Drawing a Venn diagram would help to answer this and make it  clearer.

Answer: answer above me is correct

Answer:

Answer:

-5

Step-by-step explanation:

ur welcome!

Answer:

Step-by-step explanation:

angle L is 106 degrees

x= 2

angle LMK is 37 degrees

its equal, you can check by adding up all the angles to 360 degrees

Answer:

Step-by-step explanation:

1999/1000

Answer:

1999/1000

please mark me a brainlist

Answer:

everything can be found in the picture above. I hope it helps

Answer:

Surface area: 18,144m

Volume: 139,968m³

Step-by-step explanation:

Surface area:

72x72 =  5184m on bottom, as well as top

5184+5184= 10368

27x72 for side length =  1944

1944 x 4 sides = 7776

7776+10368 = 18,144m surface area

Volume:

72x72x27 = 139,968m³

Answer:

yes

Step-by-step explanation:

as the more you spend the more u save

A regular polygon with interior angles that measure 140 degrees has 9 sides. All interior angles are congruent, meaning they have the same degree measure.

To find the number of sides in a regular polygon with a given interior angle measure, we can use the formula:

n = 360 / (180 - x)

where n is the number of sides and x is the measure of each interior angle in degrees.

This formula is derived from the fact that the sum of the interior angles in a polygon with n sides is given by the formula (n-2) * 180. In a regular polygon, each interior angle measures (Sum of interior angles / n). If we substitute the formula for the sum of interior angles into the formula for the measure of each interior angle, we get:

x = (n-2) * 180 / n

Solving for n:

n = 360 / (180 - x)

So, when we plug in the given interior angle measure of 140 degrees, we get:

n = 360 / (180 - 140)

n = 360 / 40

n = 9

Therefore, a regular polygon with interior angles that measure 140 degrees has 9 sides.

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How many sides does a regular polygon have if each interior angle measures 140?

The correlation analysis indicates a moderate positive relationship between Column X and Column Y.

To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

Here are the steps to calculate the correlation coefficient:

Calculate the mean (average) of Column X and Column Y.

Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375

Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125

Calculate the deviation of each value from the mean for both Column X and Column Y.

Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)

Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)

Calculate the product of the deviations for each pair of values.

Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)

Calculate the sum of the product of deviations.

Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)

Calculate the standard deviation of Column X and Column Y.

StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]

StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]

Calculate the correlation coefficient (r).

r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]

By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.

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Answer:

x intercept: (1/2,0)

y intercept: (0,2)

Step-by-step explanation:

Plug y=0 into the function when you are solving for the y intercept, and plug x=0 into the function when you are solving for x intercept.

the exact value of cos(α + 5π/6) is (-24 + 7√3)/50.  the exact value of cos(α + 5π/6), we can use the angle addition formula for cosine:

cos(α + β) = cos α * cos β - sin α * sin β

cos α = 24/25

sin α < 0

First, let's determine sin α using the Pythagorean identity:

sin^2 α + cos^2 α = 1

Since cos α = 24/25, we can solve for sin α:

sin^2 α + (24/25)^2 = 1

sin^2 α = 1 - (24/25)^2

sin^2 α = 1 - 576/625

sin^2 α = 49/625

Taking the square root of both sides and noting that sin α < 0, we get:

sin α = -7/25

Now, let's calculate cos(α + 5π/6) using the angle addition formula:

cos(α + 5π/6) = cos α * cos(5π/6) - sin α * sin(5π/6)

cos(5π/6) = cos(π/6 + π/2)

  = cos π/6 * cos π/2 - sin π/6 * sin π/2

cos(5π/6) = (√3/2) * 0 - (1/2) * 1

cos(5π/6) = -1/2

Substituting the known values:

cos(α + 5π/6) = (24/25) * (-1/2) - (-7/25) * (√3/2)

cos(α + 5π/6) = -24/50 + 7√3/50

cos(α + 5π/6) = (-24 + 7√3)/50

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Therefore, the area of the quarter circle of radius 8 cm is 16π square centimeters (or approximately 50.2655 square centimeters if we use a decimal approximation for π).

A circle is a two-dimensional shape that is defined as the set of all points that are a fixed distance (called the radius) from a central point (called the center) in a plane. It is one of the most basic geometric shapes and is often used in a variety of mathematical and scientific contexts. One important thing to note about circles is that they are symmetrical: any line passing through the center of a circle divides the circle into two halves that are mirror images of each other. Circles are commonly used in a variety of contexts, including geometry, trigonometry, physics, engineering, and many other fields. They are also used in everyday life, such as in the design of wheels and other circular objects, the calculation of the areas of circular fields or gardens, and the measurement of circular objects like plates and bowls.

Here,

The formula for the area of a quarter circle is given by:

A = (1/4)πr²

where A is the area of the quarter circle, r is the radius of the circle, and π is the mathematical constant pi (approximately 3.14159).

In this case, the radius of the quarter circle is 8 cm, so we can substitute this value into the formula and simplify as follows:

A = (1/4)π(8 cm)²

A = (1/4)π(64 cm²)

A = 16π cm²

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The reason with respect to this function is: D. No, the elements of the set of y are not all ordered pairs.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable to an output variable.

Based on the ordered pairs shown above, we can reasonably infer and logically deduce that these ordered pairs does not represent a function because the elements of the set of "y" aren't all ordered pairs i.e (3, 1, 4).

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Answer:

See below

Step-by-step explanation:

Basically, the associative property states that when an expression has three terms, they can be grouped in any way to solve that expression.

For example, \((8*4)*5=8*(4*5)\) if you're doing multiplication, or \((8+4)+5=8+(4+5)\), if you're doing addition.

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

she didn't make a mistake.Her answer is correct

The maximum possible number of elements in set B is 62.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things.

The universal set is A consisting of the primary one hundred positive integers.

Now, Set B is a subset of A.

Set B might be made up of the first 62 positive numbers, for example.

Only then is 123 the largest number that can be formed by adding all the components of set B.

Set B contains 62 items altogether.

Additionally, we can carefully swap out one or more pieces from set B and add them to its complement.

In the majority of these cases, set B may have 62 elements.

Therefore, we get the number of elements in set B will be 62.

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Answer:

20%

Step-by-step explanation:

so to become a percentage, you should multiply by 100% (which is basically 100/100 but don't multiply the bottom instead you write a percent sign)

So 1/5*100/100 without multiplying the bottom is:

100/5%

100 divided by 5 is 20. There you go! And you can use a calculator if that is easier for you. All you do is 1/5 which is .20 and your answer is 20%! Hope this helps!

Answer:

Read below !!

Step-by-step explanation:

Since you are already given the full equation, you would just follow the steps of plotting a line! I start usually by plotting the y-intercept, which is always on the y-axis. In this case, that would be -4 ! You mark -4 on the line, and from there, you would use RISE/RUN to find out the slope of the line. Since it's 2/3, you would rise 2, and go to the right 3, all from the point -4. You should do that about two times in order to get your line !!

I hope this helps !!

Based on the calculations, the provided data does not allow us to determine the population standard deviation. The confidence interval (at a 95% confidence level) is approximately 1.566 to 2.034. This means we can be 95% confident that the true mean lies within this interval.

To obtain the requested information, we can perform a hypothesis test and construct a confidence interval based on the given data.

Given:

Sample size (n) = 142

Sample mean (x) = 1.8

Sample standard deviation (s) = 1.4

Population Standard Deviation (σ):

The population standard deviation is not provided in the given data. Since we only have sample data, we cannot directly determine the population standard deviation.

Margin of Error:

The margin of error is calculated using the formula:

Margin of Error = Critical Value * (Sample Standard Deviation / √Sample Size)

To calculate the critical value, we need to determine the desired confidence level. Let's assume we want a 95% confidence level, which corresponds to a critical value of approximately 1.96 for a large sample size.

Margin of Error = 1.96 * (1.4 / √142) ≈ 0.234

Minimum Value of the Confidence Interval:

The minimum value of the confidence interval is calculated as:

Minimum Value = Sample Mean - Margin of Error = 1.8 - 0.234 ≈ 1.566

Maximum Value of the Confidence Interval:

The maximum value of the confidence interval is calculated as:

Maximum Value = Sample Mean + Margin of Error = 1.8 + 0.234 ≈ 2.034

Therefore, the calculations for the requested information are as follows:

Population Standard Deviation: Unknown

Margin of Error: 0.234

Minimum Value of the Confidence Interval: 1.566

Maximum Value of the Confidence Interval: 2.034

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