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Using an arithmetic sequence, it is found that the clock chimes 132 times in a 24-h period.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

The sum of the first n terms is given by:

[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]

In this problem, as the day is divided in two 12-hours period, the total will be twice the sum of the 12 elements of the following sequence:

{0, 1, 2, 3, ..., 11}

In which [tex]a_1 = 0, a_11 = 11, n = 12[/tex].

Then:

[tex]T = 2\frac{12(0 + 11)}{2} = 12 \times 11 = 132[/tex]

The clock chimes 132 times in a 24-h period.

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

Answer:

Circumference of a cicle in terms of radius:

Circumference = 2·π·r = 2·3.14·3 = 18.85(*)

In terms of diameter:

Circumference = π·d = 3.14·6 = 18.84(*)

In terms of area:

Circumference C = √4·π·A = √4·π·28.27 =18.85

Step-by-step explanation:

radius= 3in.

the circumference of the circle.

formula C=2πr

=2·π·3

≈18.84956in

nearest hundredth= 18.85in

Answer:

l = 6[tex]a^{4}[/tex] + 2a - 1

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = lw ( l is the length and w the width )

given A = 18[tex]a^{5}[/tex] + 6a² - 3a and w = 3a , then

3aw = 18[tex]a^{5}[/tex] + 6a² - 3a ( divide each term by 3a )

w = [tex]\frac{18a^{5} }{3a}[/tex] + [tex]\frac{6a^2}{3a}[/tex] - [tex]\frac{3a}{3a}[/tex] = 6[tex]a^{4}[/tex] + 2a - 1

Answer: 10 feet

The ratios:

1 inch : 2 feet

5 inch : x feet

Finding x:

1 * 5 = 5

2 * 5 = 10

             The real robot would be 10 feet tall.

Answer:

10 inches

Step-by-step explanation:

because 1 in= 2 ft
we can multiply 5 by 2 which is 10

your answer is 10 ft tall.

Answer:

The question is not showing what we are supposed to find.

b+3b+10

Answer:

Option D

Step-by-step explanation:

Given equation:

This equation can be solved by:

Subtracting 2 both sides of the equation (according to step 1):

Dividing -4 to both sides of the equation (according to step 2):

Therefore, Option D is correct.

Learn more about this topic: https://brainly.com/question/27460957

Answer:

d) 4

Step-by-step explanation:

Solving for the value of x,

→ -4x + 2 = -14

→ -4x = -14 - 2

→ -4x = -16

→ x = -16/-4

→ [ x = 4 ] {option d}

Verification of the value of x,

→ -4x + 2 = -14

→ -4(4) + 2 = -14

→ -16 + 2 = -14

→ -14 = -14

→ [ LHS = RHS ]

Hence, the value of x is 4.

find the sum of all the values and divide the sum by the number of values.

[tex] \frac{(61 + 98 + 60 + 60 + 57 + 81 + 93)}{7} = \frac{510}{7} [/tex]

[tex] = 72.86[/tex]

arrange the values in either ascending or descending, and find the number in the middle.

[tex]57 \: 60 \: 60 \: 61 \: 81 \: 93 \: 98[/tex]

[tex] = 61[/tex]

the most frequently occurred number.

[tex] = 60[/tex]

arrange the values in ascending order and subtract the lowest value from the highest one.

[tex]98 - 57[/tex]

[tex] = 41[/tex]

The null hypothesis in this situation is "There are no differences in the mean completion times among the temperatures compared".

This is a hypothesis that states the independent variable or factor being studied has not effect on the dependent variable.

This implies the temperature has no effect on the completion times of the paper-folding test.

It is the effect of temperature because this is the factor being manipulated on purpose.

This refers to the factor being studied, in this case, these are the spatial reasoning abilities, which are tested through a specific test.

Learn more about null hypothesis in: https://brainly.com/question/16261813

Answer:

x = 7

Step-by-step explanation:

the given angles are vertically opposite and are congruent , then

4x - 5 = x + 16 ( subtract x from both sides )

3x - 5 = 16 ( add 5 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Answer:

78.5 units²

Step-by-step explanation:

First, we need to plot the center point of the circle. (Shown in image). Once we plotted the center point, we need to count how many units is the radius away from the boundary.

Note: I have marked each unit by a "red point". Simply, count the number of "red points" to determine the radius.

We can substitute the radius in the "area of circle" formula to determine the area. Keep in mind that pie is represented as 3.14.

Now, let's evaluate the area by simplifying the expression. Keep in mind that pie is represented as 3.14.

Length= 14inches and breadth= 10inches

We know, Perimeter of rectangle= 2(Length+Breadth)

[tex]2(14 + 10) \\ = 2 \times 24 \\ = 48 \: \text{inches}[/tex]

We know, Area of rectangle= Length × Breadth

[tex]14 \times 10 \\ = 140 \: \text{in} ^{2}[/tex]

Answer:

x=238 plus 0

Step-by-step explanation:

think

Answer:

600 cm squared :)

Step-by-step explanation:

Surface area of cube: 6 x s^2

Now lets solve!!

6 x 10^2

6 x 100

600

Have an amazing day!!

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Answer:

-6, -5, -1

Step-by-step explanation:

Based on the question, (x+6) is a factor of f(x).

With this, you can do the long division method of dividing f(x) with (x+6) {Refer to the image}.

You'll get x²+6x+5 as a result.

Factorise it and you'll get

x²+6x+5 = (x+1)(x+5)

Then let (x+1)(x+5) = 0, x = -1, -5

Zero's of f(x) are -6, -5 -1

[tex]\text{Given that,}\\\\f(x) = x^3 +12x^2 +41x +30~~ \text{and} ~~ f(-6)=0\\\\\text{Since f(x)=0 when x = -6,}~ ~x-6 ~\text{is a factor of f(x).}\\\\x^3+12x^2+41x+30 = 0\\\\\implies x^3+6x^2+6x^2+36x+5x+30=0\\\\\implies x^2(x+6) +6x (x+6) +5(x+6)=0\\\\\implies (x+6)(x^2+6x+5)=0\\\\\implies (x+6)(x^2+5x+x+5)=0\\\\\implies (x+6)\textbf{[}x(x+5)+(x+5)\textbf{]}=0\\\\\implies (x+6)(x+1)(x+5)=0\\\\\text{Hence the roots are,}~ x = -6,~ x=-1~ \text{and}~ x = -5[/tex]

Answer:

24 days

Step-by-step explanation:

lowest common multiple of 12 and 8 is

24

For them to exercise together again, the day must be a common multiplier of 12 and 8

12 = [tex]2^{2} . 3[/tex]
8 = [tex]2^{3}[/tex]

So, their LCM is [tex]2^{3} .3 = 24[/tex]

=> After 24 days, they will exercise together again.

Answer:

₹9900

Explanation:

Total sold : (41 + 59) = 100 watermelons

Amount earned : 100 * 99 = ₹9900

#Thursday

Money earned=41(99)

#Friday

Money earned

Total:-

5841+4059=$9900

Answer:

5.291 x 10⁶

Step-by-step explanation:

Why is 5,291,000 written as 5.291 x 106 in scientific notation?

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 5,291,000 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 5,291,000

New Number: 5.291000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 5 . 2 9 1 0 0 0

Decimal Count: 1 2 3 4 5 6

There are 6 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 5.291 (Please notice any zeroes on the end have been removed)

b = 6

Now the whole thing:

5.291 x 10⁶

Step 4

Check your work:

10⁶ = 1,000,000 x 5.291 = 5,291,000

Answer:

the amount of space a 3-dimensional object takes up

Step-by-step explanation:

Of the four definition options, the first is the only only that incorporates a three dimension explanation.  The others only describe a two dimension object.  Units for the first would be unit^3.  The other three would only be one-dimensional "units."

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