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Answer:

  129

Step-by-step explanation:

When referring to the constant in a polynomial, we're generally referring to the term that has no variables in it. Here, that term is 129.

The constant is 129.

The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.

Reasons:

The given parameters are;

The variation of the height of the tip of the hour hand = 9 feet to 10 feet

At t = 0, the time = 12.00 a.m.

Required: The equation that can be used to model the height as a function of time.

Solution:

The general form of the cosine function is presented as follows;

y = a·cos(b·x - c) + d

The amplitude = a

[tex]\displaystyle a = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}[/tex]

Therefore;

[tex]\displaystyle a = \frac{10 -9}{2} = 0.5[/tex]

b = The cycle speed

The period, T, is given as follows;

[tex]\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}[/tex]

The period of a block, T = 12 hours

Therefore;

[tex]\displaystyle b = \frac{2 \cdot \pi}{T}[/tex]

[tex]\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}[/tex]

[tex]\displaystyle d = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5[/tex]

At t = 0, H = The highest point = 10 ft.

Which gives;

[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0 -c\right) + 9.5} = 10[/tex]

[tex]\displaystyle cos \left( -c\right) = \frac{0.5}{0.5} = 1[/tex]

-c = arcos(1) = 0

-c = 0

c = 0

The equation is therefore;

[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]

The above equation is the same as; H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5

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The [tex]17th[/tex] term of the arithmetic sequence is [tex]81[/tex]

An arithmetic sequence is a sequence of numbers produced by adding a fixed number, called the common difference, to a term in the sequence to get the next term of the sequence.

The formula for calculating the [tex]nth[/tex] term of a sequence is

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

where

[tex]a_n=\text{the nth term}\\a_1=\text{the first term}\\d=\text{the common difference}[/tex]

from the question

[tex]n=17\\d=5\\a_1=1[/tex]

from this information, we can calculate the [tex]17th[/tex] term of the sequence thus

[tex]a_n=a_1+(n-1)d\\a_{17}=1+(17-1)\times5\\=81[/tex]

so, [tex]a_n=81[/tex]

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Answer:2508

Step-by-step explanation:

Answer:

The first chart

Step-by-step explanation:

Answer:

what kind kind of prob

Step-by-step explanation:

dp you have a Story

Answer:

there is no picture to explain your qustion and im confused

Step-by-step explanation:

The 17th term of the arithmetic series would exceed the 16th term by the common difference

17th term = 16th term + 4

Hence the 16th term is 30 - 4 = 26

[tex]a(n) = {n}^{2} + 3[/tex]

Answer:

nth term is equal to n²+3

Answer:

(5,11)

(0,1)

(-2,-3)

Step-by-step explanation:

y=2(5)+1

y=10+1

y=11

so... (5,11)

y=2(0)+1

y=0+1

y=1

so... (0,1)

y=2(-2)+1

y=-4+1

y=-3

so... (-2,-3)

Answer:

the first one, it's linier (even)

The first graph is the one that represents an even function. See why below.

An even function is a mathematical function where f(x) = f(-x) for all x in the function's domain. It exhibits symmetry with respect to the y-axis.

The graph of an even function is symmetric with respect to the y-axis. If you fold the graph along the y-axis, the two halves will overlap perfectly.

Understanding even functions is relevant because they possess specific symmetry properties, which can help in analyzing and solving mathematical problems involving symmetry and function transformations.

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Answer:

Step-by-step explanation:

Dilation does not affect angles or the direction of lines. The lines of a dilated figure will be parallel to the original, unless they go through the center of dilation.

Line CD does not go through P, so C'D' is distinct and parallel to it (True).

Angles B and B' are congruent. (True)

Answer:

A

Step-by-step explanation:

For every additional goodie bag, you're adding the original number to itself and so on...

Example:

1 Goodie bag = Candy: 2 Toys: 3

2 Goodie bags = Candy: 4 Toys: 6

3 Goodie bag = Candy: 6 Toys: 9

Answer:

.

Step-by-step explanation:

.

Answer: I quessed on this with what I learned and we never learned it this way so im not sure if this is correct

It's probably not right

Step-by-step explanation:

Simplifying

13x + 6y = 180

Solving

13x + 6y = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

13x + 6y + -6y = 180 + -6y

Combine like terms: 6y + -6y = 0

13x + 0 = 180 + -6y

13x = 180 + -6y

Divide each side by '13'.

x = 13.84615385 + -0.4615384615y

Simplifying

x = 13.84615385 + -0.4615384615y

Answer:

Step-by-step explanation:

1) "The length of a rectangle is three more than twice the width." This can be written in a math sentence as  

L = 2W + 3

 where "twice the width" is 2W and "three more" is just adding 3.

 2) "Perimeter is 36 inches". Recall the formula for the perimeter of a rectangle

 P = 2W + 2L

  set the formula to 36 and that gives us our second equation: 36 = 2W + L

then use substitution do solve

Answer:

5 Problems

Step-by-step explanation:

Based on the given conditions, formulate: [tex]8[/tex] ÷ [tex]1\frac{3}{5}[/tex]

Find common denominator and write the numerators above common denominator: [tex]\frac{8}{\frac{5}{5} +\frac{3}{5} }[/tex]

Write the numerators over common denominator: [tex]\frac{8}{\frac{5+3}{3} }[/tex]

Calculate the sum or difference: [tex]\frac{8}{\frac{8}{5} }[/tex]

Divide a fraction by multiplying its reciprocal: 8 × [tex]\frac{5}{8}[/tex]

Cross out the common factor: 5

get the result: 5  

Answer: 5

Answer:

1) 1600cm² 2 )4095cm² 3) 550cm²

Step-by-step explanation:

Because area is length times width, you can use that on these problems.

1) 40*40=1600

2)65*63=4095

3)25*22=550

Answer:

There is no answer from my working the answer should be 55÷2

The value of x in the expression is 55/2 or 27½

From the question given above, we obtained:

The value of x can be obtained as follow:

(x – 3)2 = 49

Clear the bracket

2x – 6 = 49

Collect like terms

2x = 49 + 6

2x = 55

Divide both side by 2

x = 55 / 2 or 27½

Thus, the value of x is 55/2 or 27½

No option is correct.

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Step-by-step explanation:

I guess the question is how many ounces are needed per paint. right ?

the colors are mixed in a ratio 3:5.

what that tells us is that there are 8 units of the whole paint (3+5), and yellow gets 3 out of these 8, and blue 5 out of these 8.

the total is 32 ounces.

so, each of the 8 units represents

32/8 = 4 ounces.

and now we know :

yellow has 3 units

3×4 = 12 ounces

blue has 5 units

5×4 = 20 ounces

Answer:

0

Step-by-step explanation:

since 2 isnt up to 5, it cannot equate to 1

Answer:

1 and 3

Step-by-step explanation:

Answer:

B) N is the midpoint of line segment JL.

D) MN = 1/2 KJ

Step-by-step explanation:

edgeeee

Answer:

9 hours

Step-by-step explanation:

270/30=9

Functions are used to represent graphs, and vice versa.

The function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

[tex]f(x) =a |x - h| + k[/tex]

Where

[tex]Vertex = (h,k)[/tex]

The vertex is the minimum or the maximum point on the graph.

So, we have:

[tex]Vertex = (-4,3)[/tex]

The function becomes

[tex]f(x) =a |x + 4| + 3[/tex]

The function also passes through the point (-1,0).

So, we have:

[tex]0 =a |-1 + 4| + 3[/tex]

[tex]0 =a |3| + 3[/tex]

Remove the absolute bracket

[tex]0 =3a + 3[/tex]

Subtract 3 from both sides

[tex]3a =- 3[/tex]

Divide both sides by 3

[tex]a =- 1[/tex]

Substitute -1 for (a) in [tex]f(x) =a |x + 4| + 3[/tex]

[tex]f(x) =- |x + 4| + 3[/tex]

Hence, the function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]

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Answer:

110

Step-by-step explanation:

there

Answer:

12.65 = 12 65/100

         = 12 13/20

10.5 = 10 5/10

       = 10 1/2

3.2 = 3 2/10

     = 3 1/5

1.69 = 1 69/100

1.5  = 1  5/10

     = 1  1/2

Step-by-step explanation:

The weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.

Given that, salted peanuts = 12.65 ounce.

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value.

Now, salted peanuts = 12.65 ounce in fraction is

12.65 = [tex]12 \frac{65}{100}[/tex]

= [tex]12 \frac{13}{20}[/tex] ounce

10.5 ounce package miniature marshmallows

In fraction 10.5 = [tex]10 \frac{5}{10}[/tex]

= [tex]10 \frac{1}{2}[/tex] ounce

3.2 ounce package sunflower seeds

In fraction 3.2 = [tex]3 \frac{2}{10}[/tex]

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

1.69 ounce package candy-coated milk chocolate pieces

In fraction [tex]1 \frac{69}{100}[/tex]

1.5 ounce box raisins

In fraction [tex]1 \frac{5}{10}[/tex]

= [tex]1 \frac{1}{2}[/tex]

Therefore, the weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.

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Step-by-step explanation:

Please forgive me if I'm wrong but I would choose A, B, and E.

Answer:

(10,-2)

Step-by-step explanation:

You can see that the first equation has already given as x-isolated equation aka x = 10.

With this, you can substitute x = 10 in the second equation 3x+5y = 20 then solve for y.

3(10)+5y=20

30+5y=20

Subtract both sides by 30.

5y=-10

Divide both sides by 5.

y=-2

So from x = 10 and y = -2, we can write as (10,-2) in coordinate form.

Answer:

(10,-2)

Step-by-step explanation:

since they already give u x, u can just sub it into the other equation

3(10)+5y=20

30+5y=20

5y=20-30

5y=-10

y=-2

Answer:

1. 3^4 x 3^3 < 3^12

2. 3^3 x 4^3 < 12^4

3. 3^4 x 4^3 > 12^3