below is a sequence of numbers:
0.5, 3, 5.5, 8, …
Calculate:
(a) the 8th term,
Answer: ______________
(b) the 100th term,
Answer: ______________
(c) which term has a value of 148.

Answer:

Answer: 11x10^4 is greater. Step-by-step explanation: 23x10^3 = 23x10x10x10 = 23000. 11x10^4 = 11x10x10x10x10 = 110000. 110000 is greater than 23000.

Step-by-step explanation:

cos

Answer:

41.61

Step-by-step explanation:

Just divide.

[tex]\begin{matrix}4\overline{|\smallspace166.44}\:\:\:\:\:\:\:\end{matrix}[/tex]

Answer: We have the equation:

166.44 ÷ 4 = 41.610

Calculated to 3 decimal places.

 0 4 1. 6 1 0

4 1 6 6. 4 4 0

− 0          

 1 6        

− 1 6        

   0 6      

 −   4      

     2 4    

   − 2 4    

       0 4  

     −   4  

         0 0

       −   0

           0

Step-by-step explanation: hope this helps

The answer will be  : x = -- 3y -- 9

⇒ -2 (x + 3y) = 18

⇒ -(2x + 2 * 3y) = 18

⇒ -(2x + 6y) = 18

⇒ (-2x -6y) + 6y = 18 + 6y

⇒ -2x -6y + 6y = 6y + 18

⇒ -2x = 6y + 18

⇒ [tex]\frac{2x}{2} = \frac{-6y + 18}{2}[/tex]

⇒ [tex]x = \frac{-(2*3)y + (2*3)^{2} }{2}[/tex]

⇒ [tex]\frac{-2*3\frac{2*3y}{2*3} + \frac{(2*3)^{2} }{2*3} }{2}[/tex]

⇒ [tex]x = \frac {2*3(y + (3)^{2 - 1}) }{2}[/tex]

⇒ [tex]x = \frac{-2*3(y + 3)}{2}[/tex]

⇒ x = -[3(y + 3)]

⇒ x = (3y + 3*3)

⇒ x = -(3y + 9)

⇒ x = - 3y - 9

WORKING NOTES :

-2 (x + 3y) = 18

[We must multiply a term and an expression in order to enlarge this word.

We'll utilize the following product distributive property:

A(B + C) = AB + AC

⇒ -(2x + 2 * 3y) = 18

The final expression, in this case, will have two terms:

The first term is a product of '2' and 'x'

the second term is a product of '2' and '3y'.]

In this term, numerical components have been multiplied.

⇒ -(2x + 6y) = 18

We must group all the variable terms on one side of the equation and all the constant terms on the other in order to solve this linear equation.

⇒ (-2x -6y) + 6y = 18 + 6y

Here, the '-' (minus)  term, -6y will be moved to the right side.

When a term "moves" from one side of the equation to the other, you'll notice that its sign changes.

Parentheses around expressions must be eliminated.

Each term in the expression changes sign if a negative sign is placed in front of it. Otherwise, the expression stays the same.

There is no negative sign in the situation.

⇒ -2x -6y + 6y = 6y + 18

In order to join like terms in this expression, we must first sum all of the numerical coefficients and, if necessary, replicate the literal section.

Nothing in a number suggests a value of 1.

There is just one set of related terms: -6y, 6y.

⇒ -2x = 6y + 18

We must eliminate the coefficient that multiplies the variable in this linear equation in order to isolate it.

If both sides are divided, then the coefficient must be removed (-2)

⇒ [tex]\frac{2x}{2} = \frac{-6y + 18}{2}[/tex]

We must simplify this fraction to its simplest form.

To do this, divide the variables that occur in both the numerator and the denominator.

The common factor, in this case, is 2.

⇒ [tex]x = \frac{-(2*3)y + (2*3)^{2} }{2}[/tex]

We must consider the GCF (Greatest Common Factor).

The GCF and the original expression, split by the GCF, provide the final term.

⇒ [tex]\frac{-2*3\frac{2*3y}{2*3} + \frac{(2*3)^{2} }{2*3} }{2}[/tex]

GCF in this case is 2*3.

The fraction [tex]\frac{2*3y}{2*3}[/tex] must be lowered to its simplest form. To do this, divide the variables that occur in both the numerator and the denominator.

Here, the common factor is 2*3.

⇒ [tex]x = \frac {2*3(y + (3)^{2 - 1}) }{2}[/tex]

The expression must be lowered to its simplest form.

Driving out the components that exist in both the numerator and the denominator will accomplish this.

2*3 is a common factor.

⇒ [tex]x = \frac{-2*3(y + 3)}{2}[/tex]

Numerical terms in the factor {y + (3²⁻¹)} is added which makes it (y + 3)

The fraction will then be broken down into its smallest terms next.

To do this, divide the variables that occur in both the numerator and the denominator.

2 is the common factor.

⇒ x = -[3(y + 3)]

⇒ x = -(3y + 3*3)

We must multiply a term and an expression in order to expand this term.

We'll utilize the following product distributive property:

A=AB+AC = A(B + C)

The final expression, in this case, will have two terms:

"3" and "y" are the product in the first term.

The second term is the result of the numbers 3 and 3.

⇒ x = -(3y + 9)

This term's numerical terms have been multiplied by three (3*3 = 9).

⇒ x = - 3y - 9

The parenthesis around expressions must be eliminated.

Each term in the expression changes sign if a negative sign is placed in front of it.

Otherwise, the expression stays the same.

The signs of the following two terms will now change. -(3y + 9) = - 3y - 9

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3. (-1,-2), (0,-1), (1,0), (2,1), and (3,2)

3. (0,0), (-1,2), (1,2), (-2,4), and (2,4)

y - 11 = -3 ( x + 2) is the equation in point-slope form of the line .

What is slope ?

Given points :  (0, 5) and (−2, 11)

Slope of the line passing through given points

[tex]m = \frac{y_{2}- y_{1} }{x_{2} - x_{1} } = \frac{11 - 5}{-2 - 0} = \frac{6}{-3} = -3[/tex]

Thus, slope of line passing through given points m=-3

We know that the equation of a line passing through points ( x₀ , y₀) with slope 'm' is ( y - y₀ ) = m(x - x₀)

Thus, equation of a line passing through (−2, 11) with slope m=-3 will be

( y - 11 ) = -3 ( x - (-2))

y - 11 = -3 ( x + 2)

Hence, the equation of line is y - 11 = -3 ( x + 2).

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The value of 50-cents coins is $21, the value of 10-cents coins is $15 and the value of the 20-cents coins is $14.

Percentage of the number:

Percentage is defined as the a number or ratio that can be expressed as a fraction of 100.

If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Given,

Roslan had a total of 50$ in 10-cents coins,20- cent coins and 50-cents coins.

The value of his 10- cents coins was 30% of the total value of all his coins.

The value of his 20-cents coins was 28% of the total value of all his coins.

Here we need to find the value of 50-cent coins.

We know that,

Total value = $50

So the value of 10-cent coins

=> 30% × $50 = $15

Then the value of 20-cent coins

=> 28% × $50 = $14

Through the known values of 10-cents and 20-cents we have calculate the value of 50-cents coins as,

=> $50 – $15 – $14 = $21

Therefore, the value of 50-cents coins is $21.

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Considering the condition for a relation to be a function, we have that:

A graph represents a function if each value of the input is mapped to only one value of the output.

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.

Hence:

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Ricky had 176 cookies initially

Let Ricky has x number of cookies

Cookies left after he ate 1/8 of his cookies and additional 14 cookies:

x - (1/8x + 14)

Cookies left after he ate 3/10 of the remaining cookies and an additional 24 cookies on Saturday:

x - (1/8x + 14) - 3/10(x - (1/8x + 14)) + 24)

Cookies left after he ate 40 more cookies on Sunday

x - (1/8x + 14) - 3/10(x - (1/8x + 14)) + 24) - 40 ------(1)

Cookies left with him at the end = 34

Therefore, equating equation (1) with 34

(7/10)((7x/8) - 14) - 64 = 34

x = 176

Thus Ricky had 176 cookies intially

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Answer:

x = 34

Step-by-step explanation:

1/4(x - 2) + 4 = 12

Subtract 4 from both sides.

1/4(x - 2) = 8

Multiply both sides by 4.

x - 2 = 32

Add 2 to both sides.

x = 34

   [tex]\bf{\dfrac{1}{4}(x-2)+4=12 }[/tex]

     [tex]\bf{\dfrac{1}{4}x+\dfrac{1}{4}(-2)+4=12 }[/tex]

             [tex]\bf{\dfrac{1}{4}x+\dfrac{-2}{4}+4=12 }[/tex]

             [tex]\bf{\dfrac{1}{4}x-\dfrac{1}{2}+4=12 }[/tex]

               [tex]\bf{\dfrac{1}{4}x-\dfrac{1}{2}+\dfrac{8}{2} =12 }[/tex]

                 [tex]\bf{\dfrac{1}{4}x+\dfrac{-1+8}{2 }=12 \ \ \longmapsto \ \ [Sum \ -1 \ and \ 8] }[/tex]

                      [tex]\bf{\dfrac{1}{4}x+\dfrac{7}{2 }=12 }[/tex]

                         [tex]\bf{\dfrac{1}{4}x=12-\dfrac{7}{2} }[/tex]

                         [tex]\bf{\dfrac{1}{4}x=\dfrac{24}{2}-\dfrac{7}{2} }[/tex]

            [tex]\bf{\dfrac{1}{4}x=\dfrac{24-7}{2} \ \ \longmapsto \ \ [Subtract \ 7 \ from \ 24] }[/tex]

                   [tex]\bf{\dfrac{1}{4}x=\dfrac{17}{2 }[/tex]

              [tex]\bf{x=\dfrac{17}{2}\times4 \ \longmapsto \ \ x=\dfrac{17\times4}{2} \ \ \ [Multiply \ 17 \ and \ 4.] }[/tex]

                            [tex]\bf{x=\dfrac{68}{2} \ \ \longmapsto \ \ \ [Split] }[/tex]

                               [tex]\red{\boxed{\bf{\blue{Answer \ \ \longmapsto \ \ x=34}}}}[/tex]

A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.

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Answer:

1 ans

Step-by-step explanation:

6x - 4 = 5x-11

6x- 5x = -11+ 4

x = -7

[tex](-1)x\times(-1)^{12}\implies -x\times(-1)^{2+2+2+2+2+2} \\\\\\ -x\times(-1)^2 (-1)^2 (-1)^2 (-1)^2 (-1)^2 (-1)^2 \implies -x\times 1\cdot 1\cdot 1\cdot 1\cdot 1\cdot 1\implies -x[/tex]

bear in mind that any value raised to an even power, will always positivize.

The expression for the area of a rectangle is [tex]2x^3-7x^2+6x-2[/tex].

It is given in the question that the length of the rectangle is [tex]2x^2-3x+1[/tex] and width is (x - 2).

We have to find a expression for the area of a rectangle.

We know that,

Area of a rectangle = l * b

Where,

l represents the length of the rectangle

b represents the breadth of the rectangle

Hence, using the data given in the question, we can write,

Area of a rectangle = [tex](2x^2-3x+1)*(x-2)[/tex]

Area of a rectangle = [tex](2x^3)+(-4x^2)+(-3x^2)+(6x)+(-2)[/tex]

Area of a rectangle = [tex]2x^3-7x^2+6x-2[/tex]

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Answer: 640801

Step-by-step explanation: Simply add both together, 637,982 plus 2819.

Answer:

637, 982 + 2,819 = 640,801

Answer:

Step-by-step explanation:

the answer is simply 2

Applying the angle relationship, the measures of the angles are:

m<a = 126°

m<b = 54°

m<c = 126°

m<d = 54°

m<e = 126°

m<f = 54°

m<g = 126°

The diagram shows different angles that are formed when a transversal crosses two parallel lines. To find the measure of the missing angles, we would apply the angle relationship.

m<a = 180 - 54 [linear pair]

m<a = 126°

m<b = 54° [vertical angles pair]

m<c = m<a [vertical angles pair]

m<c = 126°

m<d = 54° [corresponding angles]

m<e = m<a [corresponding angles]

m<e = 126°

m<f = m<d [vertical angles pair]

m<f = 54°

m<g = m<e [vertical angles pair]

m<g = 126°

Therefore, applying the angle relationship, the measures of the angles are:

m<a = 126°

m<b = 54°

m<c = 126°

m<d = 54°

m<e = 126°

m<f = 54°

m<g = 126°

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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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The difference between the two prime numbers 17 and 39 is 22.

Prime numbers are those who have only two factors: 1 and the number on its own.

For the number given:

22 17 25 41 39 4

The two primes numbers are 17 and 39.

The difference is 39 - 17 = 22.

Thus, the difference between the two prime numbers is 22.

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On the 4th day of the school, the secret Quinten shared with his closest friend will be known to 16 persons.

A sequence in which the ratio of any term and its previous term is equal to a fixed constant called common ratio [r] is called geometric progression. For example -

3, 6, 12, 24, ... and so on.

Given that Quinten shares a secret with his friend and each person that hears the secret shares the secret with a new person each day.

On the first day only 2 people know the secret i.e. Quinten and his close friend. Now, they both will tell one new person on second day, which means that by the end of second day four persons will know the secret. Now, these four persons will share with new individual, this gives us a total of 8 persons, who knows the secret by the end of day three and so on.

Now, we get the following sequence -

2, 4, 8, ...... and on.

Now, we can clearly see that -

4/2 = 8/4 = 2

Therefore, this sequence is a geometric progression with common ratio

r = 2.

Assume the 4th term of GP is x. Therefore -

x/8 = 2

x = 16

Therefore, on the 4th day of the school, the secret Quinten shared with his closest friend will be known to 16 persons.

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The total cost of the brackets before tax = $89.70

Height = 9 feet

length = 10 feet

Wall brackets come in 48-in cost $12.95 and 60-in costing $16.95

Distance of brackets from ends = 1 foot

Maximum distance between brackets = 24 inches

The brackets are:

  48/12= 4feet, and 60/12 = 5feet

One of each must be used to cover the height of the shelf.

The length of the shelf is 60 inches

On subtracting 1 foot from each side of the allowance we get, 60-2 = 58-in

Then dividing by 24 we get

58/24 ≈3

The Total cost = (12.95 + 16.95)×3

                        = $89.70

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Answer:

[tex]\large\boxed{\textsf{The Circumference is the Perimeter of the circle.}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to identfy what the Circumference is.}}[/tex]

[tex]\Large\underline{\textsf{What is the Circumference?}}[/tex]

[tex]\textsf{The Circumference is a fancy word to describe the sum of the arcs of a circle.}[/tex]

[tex]\textsf{The total of the area 'on' the circle is commonly referred to as the Perimeter.}[/tex]

[tex]\mathtt{Circumference = (diameter)\pi }[/tex]

The Solution in inequality form is 7 ≤ x ≤ 10.

The Solution in interval notation: [7,10].

Given the data in the question;

-x - 8 ≤ -15 and -18 ≤ -x - 8

To solve, simplify the first part of the inequality by solving for x.

-x - 8 ≤ -15

Add 8 to both sides

-x - 8 + 8 ≤ -15 + 8

-x ≤ -7

Divide both sides by -1

Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.

-x/-1 ≥ -7/-1

x ≥ 7

Next, simplify the second part of the inequality by solving for x

-18 ≤ -x - 8

Rewrite as

-x - 8 ≥ -18

Add 8 to both side

-x - 8 + 8 ≥ -18 + 8

-x ≥ -10

Divide both sides by -1

Note that when dividing both sides of an inequality by a negative value, the inequality sign flips direction.

-x/-1 ≤ -10/-1

x ≤ 10

Now, the intersection consist of the elements that are contained in both intervals.

The Solution in inequality form is 7 ≤ x ≤ 10.

The Solution in interval notation: [7,10].

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(q ∨ (¬r ∧ ¬q)) → ¬p is the propositions and create logic sentences.

What is propositions ?

An axiom is a mathematical assertion that is predicated on a proposition, such as "3 is greater than 4," "an infinite set exists," or "7 is prime."

If you are more than  18 years old or if you are above 18 but lack identification proving your age, you are not permitted to to watch cartoon.

Prepositions -

p = You are allowed to watch cartoon.

q = your age is more  than 18 years old

r = you have age proof

(q ∨ (¬r ∧ ¬q)) → ¬p

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Answer:

Step-by-step explanation:

Answer: x=6

Step-by-step explanation:

[tex]5x+4x-68=34-8x\\\\9x-68=34-8x\\\\9x-68+8x=34-8x+8x\\\\17x-68=34\\\\17x-68+68=34+68\\\\17x=102\\\\Divide \ both \ parts\ of\ the\ equation\ by\ 17:\\\\x=6\\[/tex]

Your friend should have added 68 to each side of the equation, but instead subtracted 68 from the right side.

[tex]17x=34-68\\17x=-34[/tex]

Divide both parts of the equation by 17:

[tex]x=-2[/tex]

Answer:

Please see the picture below.  You were on the right track.  You were just off in letter A.

Step-by-step explanation:

Answer:

4c + 8 = 20

Step-by-step explanation:

To find which equation is true, we have to plug 3 into x in each equation.

2c + 8 = 31

Plug in 3 into c

2(3) + 8 = 31

6 + 8 = 31

14 = 31

Since 14 doesn't equal 31, this equation isn't true.

35 − 5c = 32

Plug in 3 into c

35 − 5(3) = 32

35 - 15 = 32

20 = 32

Since 20 doesn't equal 32, this equation isn't true.

9 − 6c = 0

Plug in 3 into c

9 − 6(3) = 0

9 − 18 = 0

-9 = 0

Since -9 doesn't equal 0, this equation isn't true.

4c + 8 = 20

Plug in 3 into c

4(3) + 8 = 20

12 + 8 = 20

20 = 20

Since 20 equals 20, this equation is true.

Have a lovely rest of your day! :)

According to the cross product, The value of x in the expression becomes 16.

According to the statement

We have to find that the value of the expression.

So, For this purpose, we know that the

Cross product is a binary operation on two vectors in three-dimensional space.

From the given information:

The expression is a

StartFraction 4 over 3 EndFraction = StartFraction x over 12 EndFraction

IN simple words, it becomes:

4/3 = x/12

Then we have to find the value of the x then

4/3 = x/12

Now cross multiply each other then

4 =3x/12

3x = 48

Then

x = 48/3

x = 16.

So, According to the cross product, The value of x in the expression becomes 16.

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b: 3 x 10 to the power of 7

can you please give brainliest

Answer:

90/49

Step-by-step explanation:

you want to convert 2 2/14 into 30/14 (2 x 14 is 28, 28 + 2=30)
reduce 30/14 into 15/7 by dividing by 2
multiply 6 x 15 and 7 x 7
90/49 is the answer and you cannot reduce it so that's the answer