An object moves in simple harmonic motion with period 8 seconds and amplitude 6 cm. At time t = 0 seconds, its displacement d from rest is -6 cm,
and initially it moves in a positive direction.
Give the equation modeling the displacement d as a function of time t.
d = 0
昌 石
UT
CD

Answer:

D.

Step-by-step explanation:

242-44

198/2 = inequality

Answer:

Step-by-step explanation:

Answer:

-5 is less than 1

[tex] \frac{12}{4} [/tex] is equal to 3

[tex] {2}^{2} [/tex] is equal to 4

2.83 is less than 3 and 4 but is more than -5

So, your answer would be [tex] {2}^{2} [/tex]

-thunderbolt07

The factoring method which can be considered for such a cubic tetranomial expression is; factor by grouping sum of cubes.

It follows from the task content that the order of the Polynomial is 3 and the polynomial is a tetranomial as it contains 4 terms.

On this note, since 3x³ is not a perfect cube, it follows that the best factorisation method for such a polynomial is; factor by grouping sum of cubes.

Read more on factorisation;

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Answer:

y = 70

Step-by-step explanation:

Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)

y = 1/2(92+48)

y = 1/2(140)

y = 70

Answer:

C). 38

Step-by-step explanation:

The range is the measurement of the difference between values in a data set. To find the range, subtract the lowest value from the greatest value.

2, 5, 19, 7, -5, 33, 26, 15, 12

-5, 2, 5, 7, 12, 15, 19, 26, 33

Lowest value,

⇒ -5

Greatest value,

⇒ 33

33 - (-5)

⇒ 38

Hence, the range/answer is 38. ⇒ option c.

Answer:

2/5

Step-by-step explanation:

To find slope:

y2-y1 / x2-x1

2-6 / -12--2

2-6 / -12+2

-4/-10

4/10

2/5

Answer:

7 adults

Step-by-step explanation:

the equation is 152=4.8(13+x)=8(x) you get 7 for x :)

therefore, there are 7 adults in total ( and 20 children but thats not part of the question :p )

Answer:

Look at the photo and Goodluck

Answer: 34

Step-by-step explanation:

Answer:

Mean = 29300

median = 23500

Modal = 23000

Step-by-step explanation:

Mean = Add them all and divide by 10

= 29300

median = average of (rank of 5th and 6th)

= (23000 + 24000) /2

= 23500

Modal = appear the most

= 23000

Answer:

Looking at the given numbers, we can see that each number gets multiplied by 2 to produce the next number.  Therefore if we multiply the first number by 2 we would get that the second number is actually just 2.

Answer:

2

Step-by-step explanation:

Its multiplying by 2 each.

Answer:

steps below

Step-by-step explanation:

Total = 12+17+14 = 43

Without replacement:

C(12,5) / C(43,5) = (12!/5!*7!) / (43!/5!*38!) = (12*11*10*9*8) / (43*42*41*40*39)

                          = 95040 / 115511760

                           = 0.00082

                           ≈ 0.082%

with replacement: 12/43*12/43*12/43*12/43*12/43 = 12⁵ / 43⁵

Check the picture below, on the left side atop

AC is a diametrical line, and thus the angle that it makes is 180°, so the arcAB is obvious.  Now, the angle ADB, well is an inscribed angle touching the arcAB.

Check the picture below, on the left side below

well, that triangle is a triangle made using the diametrical AC, and thus the angle ABC is an inscribed angle in a semicircle, now check the picture on the right side

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.

[tex]\cfrac{x}{6}~~ = ~~\cfrac{6}{13-x}\implies 13x-x^2=36\implies 13x=x^2+36 \\\\\\ 0=x^2-13x+36\implies 0=(x-9)(x-4)\implies x=AE= \begin{cases} 9~~\checkmark\\ 4 \end{cases}[/tex]

now, let's notice something, 4 is also a valid value, why we can't use 4?

well, let's notice, the segment AE is passed the half of AC, namely passed the center, since AC is 13, half that must be 6.5, so whatever AE is, it must be greater than 6.5, so the value 4 is no dice.

Answer:299 cm

Step-by-step explanation: you have to find the area of square and rectangle. 33*6.5 = 214.5 plus 13 * 6.5 = 84.5 then add together

214.5 + 84.5 = 299cm

Answer:

Step-by-step explanation:

A1=BH

=15mm×7mm

=300mm2

A2=BH

=15mm×5mm

=75mm2

A3=BH

=8mm×5mm

=40mm2

A1+A2+A3=Atotal

300mm2+75mm2+40mm2=Atotal

415mm2=Atotal

Answer is From all those aforementioned, the true statement is: Thanh’s grade is 2.5 standard deviations below the mean of the test grades.

explanation

The z scores are standard deviations. If, for example, a tool returns a z score of +2.5, it means that the result is a standard deviation of 2.5. Very high or very low (negative) z scores associated

with very low p values are at the ends of the normal distribution.

Answer:

x = [tex]\frac{15}{11}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5}[/tex] x - [tex]\frac{1}{3}[/tex] x = x - 1

multiply through by 15 ( the LCM of 5 and 3 ) to clear the fractions

9x - 5x = 15x - 15

4x = 15x - 15 ( subtract 15x from both sides )

- 11x = - 15 ( divide both sides by - 11 )

x = [tex]\frac{-15}{-11}[/tex] = [tex]\frac{15}{11}[/tex]

10 is the mean of the number that is missing.

A property of an assortment of data that represents an average is called the mean. Depending on the nature of the information as well as the kind of average you require, one can compute the mean theoretically employing any of the several ways. Scheming the data distribution constantly allows one to visually determine the mean as well.

Let the missing number be x.

The sum of all the numbers will be

= 11 + 20 + 3 + 1 + x

= 35 + x

The total number is 5.

The mean is given to be 9.

The mean will be

9 = (35 + x) / 5

9 * 5 = 35 + x

45 = 35 + x

10 = x

Learn more about the mean, here:

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The volume of the sphere with a radius of 2 units is 17.541π cubic units

A sphere is a solid 3-dimensional figure. The volume of a sphere is expressed as:

V = 2/3πr^3

where:

r is the radius of the sphere:

Given the following

r = 2 units

Substitute the given parameters

V = 2/3(π) * 2^3

V = 2/3 * π * 8

V = 16.75π/3

V = 17.541π cubic units

Hence the volume of the sphere with a radius of 2 units is 17.541π cubic units

Learn more on volume of sphere here: https://brainly.com/question/10171109

Answer:

Step-by-step explanation:

Now to find the sum of first 20 terms, substitute n=20,a=−1 and d=4 in S n = 2n [2a+ (n−1)d] as follows: S 20 = 220 [(2×−1)+(20−1)4]=10[−2+(19×4)]=10(−2+76)=10×74=740 Hence, the sum of first 20 terms is 740.

the sum of the first 20 terms of the series below is C.

Answer:

its in percentage but it would be 0.6

Step-by-step explanation:

Answer:

3 over 5

[tex]\frac{4}{5} * \frac{3}{4}\\\\4*3=\underline{12}\\5*4=20[/tex]

Simplify 12 over 20

[tex]12/4= \underline{3}\\20/4 = 5[/tex]

Answer:

-16 = -24

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

2(x - 1) - 6 = 24 ( add 6 to both sides )

2(x - 1) = 30 ( divide both sides by 2 )

x - 1 = 15 ( add 1 to both sides )

x = 16

X= 14.375 and y = 21.75

Calculating For x

[tex] = > \huge\frac{x}{57.5} = \frac{16}{64} [/tex]

[tex] = > \huge\ \: x = \frac{57.5 \times 64}{16} [/tex]

[tex]x = 14.375[/tex]

Calculating For y

[tex] = > \huge \frac{y}{87} = \frac{16}{64} [/tex]

[tex] = > \huge y = \frac{87 \times 64}{16} [/tex]

[tex]y = 21.75[/tex]

[tex]\sf\red{hope\:it\:helps\:you}[/tex]

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Answer:

C. 3.3 kg.

Step-by-step explanation:

There are 1000 grams in a kilogram.

So 3,000 g = 3300/1000

= 3.3 kg.

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Which of the following is equivalent to 3,300 grams?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

Option C

[tex]\blue\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]

Divide the number of grams by 1,000:-

[tex]\texttt{3,300:1,000=3.3}[/tex]

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