The difference between two positive numbers is 2 and the difference between their squares is 40. Work out the two numbers.

Diameter = 24 foot, circumference = 75.36 foot, Area = 452.16 square foot

As the leash is 12 feet, and dog Rupert will form a circle in the backyard.

As the leash is of 12 feet, so it is the radius(r) of the circle.

Diameter = 2r

                = 2×12

                = 24 foot

Circumference = 2πr

                         =2×3.14×12

                         = 75.36 foot

Area of the circle = π[tex]r^{2}[/tex]

                             = 3.14×[tex]12^{2}[/tex]

                             =3.14 × 144

                             = 452.16 [tex]foot^{2}[/tex]

Therefore we get diameter = 24foot, circumference = 75.36 foot and area = 452.16 square foot.

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we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

We are given an arithmetic sequence:

26, 24 , 22 ....

We need to find the nth term of this sequence (aₙ)

We will first find the common difference between the terms:

Common difference = d = 24 - 26 = - 2

also, we know that initial term = a = 26.

We know the formula for aₙ is given by:

aₙ = a + ( n - 1 ) d

Substituting the values, we get that:

aₙ = 26 + ( n - 1 ) ( - 2 )

aₙ = 26 - 2 n + 2

aₙ = 28 - 2 n

Therefore, we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

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Answer:

4 21

Step-by-step explanation:

Its probably the answer you are looking for

The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.

The first number will be 9 and the second number will be 98.

In the second number, the 9 is in the tens position which means that it has the value of 90.

In the first number, the value of 9 is simply 9.

90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.

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The number expression will be 14 + |-5| = 19 if Joy walked 14 steps forward, and Shaunte walked 5 steps backward option (A) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other.

Joy walked 14 steps forward, and Shaunte walked 5 steps backward.

Let forward direction be the positive

The backward direction is negative.

The number expression can be represented;

The distance between two friends:

14 + |-5| = 14 + 5 = 19

14 + |-5| = 19

Thus, the number expression will be 14 + |-5| = 19 if Joy walked 14 steps forward, and Shaunte walked 5 steps backward.

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The marginal benefit from studying one extra hour is 5 percent.

Now,

Given:

To find: Marginal benefit on studying one hour extra.

Finding:

Now, marks scored on studying 4 hours is 80 percent and 5 hours is 85 percent.

Thus, the extra percentage that is scored is because of the 1 hour of extra studying.

The extra percentage = marginal benefit of studying extra = 85 - 80 = 5 percent.

Hence, the marginal benefit from studying one extra hour is 5 percent.

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Answer:

5×8=40

x=7×8

=56

Step-by-step explanation:

5×8=40

x=7×8

=56

Step-by-step explanation:

-3x+7-5x<15

-5x-3x+7<15

-8x+7<15

-8x<15-7

-8x<8

The smallest integer is -3x.

Answer:

$1.47 per yard

Step-by-step explanation:

3 feet = 1 yard

9 feet = 3 yards

set up a proportion

[tex]\frac{3}{4.41} = \frac{1}{x}[/tex]

cross multiply; 3x = 4.41 * 1

3x = 4.41

divide both sides by 3

x = 1.47

$1.47 per yard

Answer: V=[tex]\frac{1}{1000000}[/tex] cm^3

Step-by-step explanation:

V = s³

V = (0.01)³

V=(1/100)³

V=[tex]\frac{1}{1000000}[/tex] cm^3

the volume of cube with a side that measures 0.01 cm is answer v = a3

For the given sample data, 42, 25, 86, 30, 25, 15, 42, 42, the mode is 42.

In statistics, the mode, denoted by Mo, refers to the most frequent value or values in the data set. If all the numbers in the data set appears only once, then the data set has no mode.

For the given sample data,

42, 25, 86, 30, 25, 15, 42, 42

the number 42 appears thrice, 25 appears twice and the rest appears only once.

The number 42 appeared the most frequent among all the other data.

Hence, the mode of the data set that contains 42, 25, 86, 30, 25, 15, 42, 42 is 42.

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Answer:

33

Step-by-step explanation:

4+10+12+7

Answer:

A

Step-by-step explanation:

The two sentences relate like They establish a contrast. As  American Sleep Disorders Association is considering the teenager sleep and adult sleep.

What is sleeping disorder?

Sleep Disorders are mostly common nowadays as people are more busy in their scheduling, they don't get proper and sufficient time to sleep. This creates many problems in the human body.

The common type of sleeping disorder are  insomnia, restless toughnesses' syndrome, narcolepsy and sleep apnea.

Thus, option A is correct.

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Check the picture below.

The water level decrease each day is A. 0.25 in.

From the information, the water level in a swimming pool decreases from 60 inches to 58.25 inches in one week.

There are 7 days in a week.

Therefore, the rate if decrease per day will be:

= (60 - 58.25)/7

= 1.75 / 7

= 0.25

Therefore, the correct option is A.

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Answer:

False

Step-by-step explanation:

Sometimes, multiplication can occur after addition. For example, in 3+4*7, you don't add 3 and 4 first. You multiply 4 and 7 first since that's following the PEMDAS rule. After multiplying 4 and 7, then you add 3 to get a total of 31. ==> 3+4*7=3+28=31.

Answer:

i think  the first one is   C and second one is C

Step-by-step explanation:

   the second one is a whole number because the square root of 49 is 7 and 7 is a whole.      

Answer:

here is my answer........

Step-by-step explanation:

(3-x)^2 = 9 - 3x - 3x + X2

= X2 - 6x +9

f(-3) = -1

We can find an unknown y-value by plugging an x-value into a given function.

Function Notation

Before we answer this question, we need to understand the notation of the equation. In function notation, the equation is given in terms of f(x).

For example, f(-3) represents the value of y when x = -3.

Finding f(3)

As stated above, to find f(-3) we need to plug -3 in for x. *Remember to use PEMDAS when solving.* This creates the new equation:

Then, distribute the exponent.

Next, multiply.

Distribute the negative.

Finally, add the remaining terms.

This means that when x = -3, y or f(-3) = -1.

Answer:

18 hours.

Step-by-step explanation:

Subtract $65 from the total.

263 - 65 = 198

Divide by 11.

198 ÷ 11 = 18

Answer:

18 hours

Step-by-step explanation:

$263-$65=$198

$198÷$11=18 hours

The total number of students which are there in the sporting events are 87.

The total number of mini foam fingers which the sporting event coordinator has is 200. Since he gives 2 foam fingers to each student present in the event therefore each student has 1 pair of mini foam fingers.

So, in total there are 200/2 = 100 pairs of mini foam fingers.

The total number of mini foam fingers left after distribution is equal to 26.

So total pairs of mini foam fingers left = 26/2 = 13

Therefore, the number of students which are present in attendance is given by:

Total pairs of foam fingers - total pairs of foam fingers left

=> 100-13 = 87

Therefore, total number of students in attendance are 87.

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Answer:

There is not a single ordered pair which is a solution to y=2x−4 .

Answer:

The translation of 2 units left in function f (x) = 4x + 1 is 4x + 3.

Here,

Function is given as, f(x)=4x+1

And, translation 2 units left.

We have to find the function after translation.

Now,

Function is given as, f(x)=4x+1

After translation 2 units left the function is;

f (x) = 4x + 1 + 2

f (x ) = 4x + 3

Hence, the function after translation 2 units is f (x) = 4x + 3

Answer:

47 / 3 ( Or 1 if you typed it wrong)

Step-by-step explanation:

When simplifying an equation like this, we always want to do our multiplication and division before addition and subtraction.

So for the first step, let's simplify the expression down to only addition and subtraction...

12 - 2 / 6 + 4 =

12 - (2 / 6) + 4 =

12 - 1/3 + 4

Now we can combine everything together from left to right...

(12 - 1/3) + 4 =

35/3 + 4 =

47 / 3

However...

If the original equation was:

[tex]\frac{12-2}{6+4}[/tex]

Then you would just simplify the top and bottom separately before dividing the two numbers, treating the fraction as parentheses.

So...

(12 - 2) = 10

(6 + 4) = 10

And since 10 / 10 = 1

The answer to the fraction simplification is 1.

The solution of the expression would be 47/3.

Given that,

The expression is,

[tex]12 - \dfrac{2}{6} + 4[/tex]

Now simplify the expression by applying the BODMAS rule,

[tex]12 - \dfrac{2}{6} + 4[/tex]

[tex]12 - \dfrac{1}{3} + 4[/tex]

[tex]16 - \dfrac{1}{3}[/tex]

[tex]\dfrac{(48 - 1)}{3}[/tex]

[tex]\dfrac{47}{3}[/tex]

Therefore, the solution of the expression is 47/3.

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Answer:

3. w = 4

4 . g = 8

5. q = 1

6. m = -3

7. z = -32

8. a = 6

9. h = 4

10. d = -16

11. y = 4

12. n = 4

13. v = 3

14. c = -2

Step-by-step explanation:

3). 3w + 7 = 19

3w = 12

w = 4

4). 2g - 13 = 3

2g = 16

g = 8

5). 11 = 12 - q

q + 11 = 12

q = 1

6). 10 = 7 - m

m + 10 = 7

m = -3

7). -4 * (5) = (z/-4 - 3) * -4

-20 = z + 12

z = -32

8). 3 * (a/3 + 4) = (6) * 3

a + 12 = 18

a = 6

9). 5 * ((h + 6)/5) = (2) * 5

h + 6 = 10

h = 4

10). -2 * ((d - 8)/-2) = (12) * -2

d - 8 = -24

d = -16

11). 8y + 3y = 44

11y = 44

y = 4

12). 36 = 13n - 4n

36 = 9n

n = 4

13). 12v + 10v + 14 = 80

22v + 14 = 80

22v = 66

v = 3

14). 6c - 8 - 2c = -16

4c - 8 = -16

4c = -8

c = -2

Answer:

6

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

First, take the prime factorization of all 3 numbers.

30: 15*2 ==> 5*3*2

60: 30*2 ==> 15*2*2 ==> 5*3*2*2

78: 39*2 ==> 13*3*2

Notice any common factors? That's the GCF.

GCF: 3*2=6

GCF: 6

Step-by-step explanation:

So for questions 1 through 4, you're basically finding the number in the middle of the two letters. In question 1, D is above 7 on the number line and E is above 11. The mid-point would be 9.

For 5 and 6, we'll be using this formula: [tex](\frac{x_{1} + x_{2}}{2},\frac{y_{1} + y_{2}}{2})[/tex]

And now we just plug in the numbers from question 5 but it works the same way on 6 as well.

[tex](\frac{3 + 5}{2},\frac{1 + 3}{2})[/tex]     => (8/2, 4/2)

Coordinate of the midpoint would be (4, 2).

Lastly, we follow this system in order to get the final answers:

(Answer below shown for question 7)

(x + 2)/2 = 5

x + 2 = 10

x = 8

(y + 0)/2 = 2

y + 0 = 4

y = 4

Missing endpoint is (8, 4)

Answer:

[tex]g(x)=|x+8|-2[/tex]

Step-by-step explanation:

The vertex is at (-8, 2), so g(x)=a|x+8|+2.

Considering g(-6),

[tex]g(-6)=4=a|-6+8|+2 \\ \\ 2=2a \\ \\ a=1 \\ \\ \therefore g(x)=|x+8|-2[/tex]

Answer:

416

Step-by-step explanation:

pemdas