Arun says if he adds together two mixed numbers, his answer will always be less than the sum of the whole-number parts plus 1. Say 2 counter-examples to show Arun's statement is not true. A counter statement is any example that shows a statement is false

Answer:

10

Step-by-step explanation:

[tex]x=0 \implies x\in \{-15, -12, 0, 10\} \\ \\ \therefore f(0)=11-|0-1|=10[/tex]

6.2E15

Here ; E stands for "times 10 to the power of or simply it replaces 10^ "

Answer: 30%

Step-by-step explanation: just add the 20% and 10% and you get 30%

The salaries of each will be 127975 and 182875.

Lat the salaries of B = b

Let the salary of A = b + 54900

Therefore, we will add them together to get the value:

b + b + 54900 = 310850

2b + 54900 = 310850

2b = 310850 - 54900

2b = 255950

b = 255950/2

b = 127975

a = b + 54900 = 127975 + 54900 = 182875

Therefore, the salaries of each will be 127975 and 182875.

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Answer:

A. The solution set is x = 5 or -7

Step-by-step explanation:

[tex] \sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7[/tex]

Therefore, the answer is A. as the solution is x = 5 or -7

I will need $1,61,884.2 to pay off the mortgage.

This problem is related to simple interest and we have to calculate the amount after 10 years which is payable in the form of mortgage.

The monthly mortgage payment is $1,345.

Rate of interest is 3.6% per annum.

Time is given to be 10 years.

Simple interest for 10 years = 1345×3.6×10/100

                                            = $ 484.2

So, the total money required to clear the mortgage

= $(1345×12×10) + $ 484.2

= $161400 + $484.2

= $ 1,61,884.2

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Answer:

its 1/3

Step-by-step explanation:

see picture for referance

Answer:

  220

Step-by-step explanation:

You want to use differences to find the pattern and the next term in the sequence 3, 8, 15, 28, 51, 88, 143.

Subtracting each term from the next, we find the sequence of first differences to be ...

  5, 7, 13, 23, 37, 55

The first differences are not constant, so we know the sequence is not linear. They are not in an arithmetic progression, so we know the sequence is not quadratic. They do not have a common ratio, so we know the sequence is not exponential.

The second differences are the differences of the sequence of first differences. They are ...

  2, 6, 10, 14, 18

The differences of the terms of the 2nd-difference sequence are constant: 4.

  4, 4, 4, 4, 4

Constant 3rd differences mean the original sequence can be described by a 3rd degree polynomial. The coefficients found by a calculator are shown in the attachment.

Since we know the third differences are constant, we can work our way back up the chain of differences to find the next term of the original sequence.

  next 2nd difference = 18 +4 = 22

  next 1st difference = 55 +22 = 77

  next sequence term = 143 +77 = 220

The eighth term should be 220.

__

Additional comment

The n-th term is ...

  f(n) = 2/3n^3 -3n^2 +28/3n -4

Answer:

10 and 28

Step-by-step explanation:

let x be one number then the other is x + 18 ( 18 more than the other ), then

x + x + 18 = 38

2x + 18 = 38 ( subtract 18 from both sides )

2x = 20 ( divide both sides by 2 )

x = 10

and x + 18 = 10 + 18 = 28

the 2 numbers which divide 38 into the 2 parts are 10 and 18

Answer: N * (n+7) = n^2 + 7n

Step-by-step explanation:

This equation would be the number, n, times n+7 because n+7 is 7 more than n. To do this, you have an equation like this:

N * (N+7). You would then do distributive property, and n*n would be n squared, and n*7 would be 7n. This would give you a combined answer of n squared + 7n, or n^2 +7n.

6.7×10 8 is your correct answer

Answer:

the scientific notation is: [tex]6.7 ~x~10^{8}[/tex]

Step-by-step explanation:

The proper format for scientific notation is;

where a is a number or decimal number such that the absolute value of a is greater than or equal to one.

Given:

Thus, the scientific notation is:

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{((243 {)}^{2n/5} ) \sdot( {3}^{2n + 1}) }{ ({9}^{n + 1}) \sdot( {3}^{2(n - 2)} )}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{(3{)}^{5(2n/5)} ) \sdot( {3}^{2n + 1}) }{ ({3 }^{2(n + 1)}) \sdot( {3}^{2(n - 2)} )}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{(3{)}^{2n} \sdot( {3}^{2n + 1}) }{ ({3 }^{(2n + 2)}) \sdot( {3}^{(2n - 4)} )}[/tex]

let's break it up :

now let's take [tex]{ \sf {3}^{(2n-4)}} [/tex] common here ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{(3{)}^{(2n - 4)} (3 {}^{4} \sdot{3}^{5}) }{ {(3 )}^{(2n - 4)}(3 {}^{6} \sdot1)}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{{} (3 {}^{4} \sdot{3}^{5}) }{ (3 {}^{6} \sdot1)}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{{} 3 {}^{9} }{ 3 {}^{6} }[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 27[/tex]

Answer:

Step-by-step explanation:

[tex]\sf \cfrac{243^{\frac{2n}{5}}\cdot \:3^{2n+1}}{9^{n+1}\cdot \:3^{2\left(n-2\right)}}[/tex]

[tex]\sf 9^{n+1}\cdot \:3^{2\left(n-2\right)}[/tex]

Simplify:-

[tex]\sf \cfrac{3^{2n}\cdot \:3^{2n+1}}{\boxed{\bf 3^{4n-2}}}[/tex]

Now, Factor:-

[tex]\sf \cfrac{3^{2n}\cdot \:3^{2n+1}}{3^{4n-2}}[/tex]

Now, let's simplify:-

Simplify:-

Apply the exponent rule:-

Therefore, your answer is 27.

______________________

Hope this helps!

Have a great day!

Answer:

B

Step-by-step explanation:

because it most reasonable

also you times the number as much as the exponents

Answer:

A. (5^8)/(5^9)

Step-by-step explanation:

Using the properties of exponents, in this case case the Power of Quotient Rule, can be changed into the one in A.

Answer:

54=12+r

Step-by-step explanation:

'Sum' means to add.

54 = 12 + rhonda's height

54 = 12 + r

Answer:

acute

Step-by-step explanation:

acute: degrees are all less than 90*

right angles: have a 90* angle

obtuse angle: has an angle greater than 90*

Answer:

8

Step-by-step explanation:

shirts = 10, price per shirt = $9

shirts = 25, price per shirt = $8.40

Linear equation be:

y = mx + b

x = 10 , 25

y = 9 , 8.40

9 = 10m + b  

8.4 = 25m + b

9 = 10 m + b  b = 9 - 10m

8.4 = 25m + b 8.4 = 25m + 9 - 10m

8.4 - 9 = 15m m = -0.6/15 = -0.04

m = - 0.04

b = 9 - 10m = 9 - 10(-0.04) = 9+0.4 = 9.4

b = 9.4

The linear equation =

y = mx + b

y = -0.04x + 9.4

Hope this helped xx ?<3

Any given equation can be solved with the help of transpose method by following the steps mentioned below, but first understand what is linear equation.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. It is of the form -

y = ax + b

Given a simple equation and we have to solve the equation using transpose method.

We will learn about transpose method of equation solving with the help of an example. Assume that you have to solve the following expression -

4(x + 9) = 3(x + 7)

STEP - 1 - Identify the unknown variable.

In the expression given, the unknown variable is x.

STEP - 2 - Solve the Left hand side and Right hand side to make both sides simpler.

In the expression given, we will simplify both sides -

4(x + 9) = 3(x + 7)

4x + 4 × 9 = 3x + 3 × 7

4x + 36 = 3x + 21

STEP - 3 - Transfer the terms that containing variable one Left hand side of equation and the constant terms on the right hand side.

Apply Step 3 -

4x - 3x + 36 = 21

4x - 3x = 21 - 36

STEP - 4 - Solve for unknown variable.

We have -

4x - 3x = 21 - 36

x = - 15

Therefore, any given equation can be solved with the help of transpose method by following the steps mentioned above.

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Answer:

1. The perimeter of the basketball poster is 240.

The perimeter of the football poster is 282.

3. Football poster has the greater perimeter.

Step-by-step explanation:

To find the perimeter of the basketball poster you multiply the given side by 4 since there is 4 sides. So 60 * 4 = 240.

To find the perimeter of the football poster you use the formula 2(l+w). So our l (length) is 86, while our w(width) is 86. So plug it in the formula.

2(55+86)=282.

282 > 240, which means that the football poster has a greater perimeter.

Hope that helps, have a good day!! :D

To solve this problem one must be aware of the concepts of standard deviation and variance of raw data.

There is a direct formulae to calculate the variance of the data,

Variance = [tex]σ^{2} =\frac{Sigma(xi-m)^{2}}{n}[/tex]

Now here we need to verify ∑x and ∑[tex]x^{2}[/tex].

∑x = 21+19+15+32+27

     = 114

and ∑[tex]x^{2}[/tex] = [tex]21^{2} +19^{2} +15^{2} +32^{2} +27^{2}[/tex]

             = 441+361+225+1024+729

             = 2780

So, the given relation is true.

Now the variance of the given data by putting the values in the formulae is  equal to 45.2.

And Standard deviation=[tex]\sqrt{Variance}[/tex]

                                     = [tex]\sqrt{45.2}[/tex]

                                      = 6.72

And for population α²=36.16 and deviation=6.01.

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Answer:

5(x+3) = 7

Step-by-step explanation:

5(x+3) = 7

The homeowners pay a $25 monthly usage fee and $3 per hundred cubic feet for water number line is- 75,100

Given:

In Town A

$25 monthly usage fee

$3 per hundred cubic feet for water.

In Town B,

homeowners pay $2.00 per hundred cubic feet and a $50 monthly

For town A=25×3=75

For town B=50×2=100

When we write numbers on a number line, we can easily compare them and execute simple arithmetic operations on them. A number line's origin is defined as zero (0). The numbers to the left of 0 are all negative, whereas the numbers to the right of 0 are all positive. So, as we walk towards the right on a number line, the value of numbers increases.

A number line includes both positive and negative numbers. A negative number line is formed by the segment of the number line to the left of zero.

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Answer:

Se hunde mas rapido en agua salada.

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = x^3 + 3
y = (-1)^3 + 3
y = -1 + 3
y = 2

Answer:

23,716 ft

Step-by-step explanation:

Let the side length of each of the four smaller lots be s.

Then, Fritz will use 12s feet, which is equal to 924.

This means s=77.

This means the area of each smaller square is 77²=5929, and thus the total area is 23,716 ft.

Answer:

explicit formula is a mix of different upgraded formulas

Step-by-step explanation:

I will have 5 stampers

I, Newton and Descartes have 17 Stampers in total

Newton and Descartes have 6 stampers each

6 + 6

= 12

The number of stampers left for me can be calculated as follows

= 17 - 12

= 5

Hence I have 5 stampers  

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The values of A, B, and C are  mathematically given as

This is further explained below.

Generally, the equation for the statement is  mathematically given as

AB + C = 52

AB+ (C x 10) = 97....1

Using the substitution technique we have

AB = 52- C ....2

Subbing 2 in 1

AB+ (C x 10) = 97

Therefore

52- C +  10C = 97

9C=97-52

9C=45

C=5

In conclusion,

AB = 52- C

AB = 52- 5

AB=48

A=48/B

Hence

B=48/A

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