What numbers are more than 3 units from −1 on a number line?

Answer:

The 2 integers are 10 and 12

Step-by-step explanation:

Translate it into english

"The difference (some subtraction) of the squares of two positive consecutive integers ([tex]x^2[/tex] and [tex](x+2)^2[/tex]) is (=) 44 (44)"

this means the following:

[tex](x+2)^2-x^2=44[/tex]

solve for x to find the smaller integer

first, expand

[tex](x^2+4x+4)-x^2=44[/tex]

[tex]x^2+4x+4-x^2=44[/tex]

[tex]4x+4=44[/tex]

[tex]4x=40[/tex]

[tex]x=10\rightarrow x+2=10+2=12[/tex]

The 2 integers are 10 and 12

Answer:

120376

Step-by-step explanation:

Primeiro peguei 60x11 e os multipliquei e obtive 660. Em seguida, descobri que 346 ^ 2 é 119716. Somei meus dois números e obtive 120376.

Espero que isso ajude você! :)

Answer:

16 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](3x +1)\cdot 2x - x^2 \cdot 3\\\\=2x\left(3x+1\right)-3x^2\\\\\mathrm{Expand}\:2x\left(3x+1\right):\quad 6x^2+2x\\\\=6x^2+2x-x^2\cdot \:3\\\\\mathrm{Simplify}\:6x^2+2x-x^2\cdot \:3:\\\quad 3x^2+2x[/tex]

2.

[tex](3x + 1)^2\\\\\mathrm{Apply\:Perfect\:Square\:Formula}:\\\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=3x,\:\:b=1\\\\=\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2\\\\\mathrm{Simplify}\:\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2:\\\quad 9x^2+6x+1[/tex]

Answer: Mr. Lee’s entire face crinkles and lights up when he smiles.

Step-by-step explanation:

Mr. Lee’s entire face crinkles and lights up when he smiles. Option C is correct.

Given that,
From the sentences, we have to determine the sentence that emphasizes the engaging details.

Content created by someone who is enthusiastic about the subject they are writing about is the most engaging content. If you write with passion and explain to readers why you are passionate, you might be able to persuade them to love your company as much as you do.

Here,
Option A and Option B is incorrect because the sentence describes different entities over the face.
While in option C engaging sentence the smile tends to bring crinkles and lights up the face.

Thus, Mr. Lee’s entire face crinkles and lights up when he smiles. Option C is correct.

Learn more about engaging sentences here,
https://brainly.com/question/17346475
#SPJ5

Answer:

412,090

Step-by-step explanation:

math+math+brain+school

Answer:

$ 13,563.20

Step-by-step explanation:

Formula for total amount accrued or gathered after interest is compounded monthly = A = P(1 + r/n)^nt

A = Amount after t years

P = Initial amount Invested = $5,000

r = Interest rate = 5% = 0.05

n = compounding frequency = Every month = 12

t = time in years = 20

A = $5000(1 + 0.05/12)^20 × 12

A = $ 13,563.20

Therefore, Peyton will have $13,563.20 in the account after 20 years.

Answer:

FV = PV (1 + )nt

PV = $5,000

r = 0.05

n = 12

t = 20

FV = 5,000 (1 + )12 · 20

= 13,563

Step-by-step explanation:

Answer: im pretty sure its D. 4

Step-by-step explanation:

Answer:1700

Step-by-step explanation:

Answer:

1700

Step-by-step explanation:

Answer:

4 18/100

Step-by-step explanation

Answer:

7.25

Step-by-step explanation:

7 1/4=4*7+1=28/4=7.25

Answer:

the probability is:

P(A) 2/6 =1/3

Now let's take rolling a prime number:

A prime number is a natural number greater than 1 which can only be divided without a remainder by 1 and itself. So from the numbers on the cube prime numbers are:

2, 3 and 5. The probability of getting a prime number in a single roll is:

P(B) =3/6=1/2

Now to calculate the probability of A and B

you have to multiply both probabilities:

P(A-B)=P(A) . P(B) = 1/3 . 1/2 = 1/6

Step-by-step explanation:)

Answer:

the anwser is 3

Step-by-step explanation:

Answer:

738,378,886

Step-by-step explanation:

1) Add 2+99,999,999 which equals to 100,000,001

2) Then, subtract 100,000,001 with 7 which is 99,999,994

3) Finally, add 99,999,994 with 638,378,892 which is 738,378,886

Hope this helps!

Answer:

k=−23

Step-by-step explanation:

I hope this help if you need step by step just comment

Answer:

0.006

Step-by-step explanation:

This is the answer because:

Short Way:

1) We know 3 x 2 is 6

2) When we multiply with zeros, how many ever zeros there are in the factors together, should be in the answer. In this case, in the answer we should have 3 zeros, one before the decimal point and two after the decimal point, because in 0.02 there are two zeros while in 0.3 there is only one zero.

3) Finally, the answer would be 0.006

Long Way:

1) You can do long multiplication to solve for the answer.

2) 0.02

   × 0.3

Is 0.006 because 3 x 2 is 6, and then 3 x 0 is 0 and then 3 x 0 is 0.

006

+0000

0.006

Remember to put a decimal point.

Hope this helps!

Answer: D. A or B depending on the distribution of the sample

Step-by-step explanation:

Given: A question ask about how many hours per week do you watch television?

Total participants = 300

Since all participants are different ,  so have their own answer to this question in numerical terms.

We use proportion or percentage to summarize data if data is categorical, but here data is numerical (continuous).

here , we can use either mean or median ( if it has outliers).

For this we need to check the distribution of the data, if it is normal then Mean, standard deviation, and range would be a better option (as mean is the best measure of tendency)otherwise Median, IQR, and range would be a better option .

hence, the correct option is D. A or B depending on the distribution of the sample

44.2%= 287

Let the total attempt = x

(287/x) ×100 = 44.2

287/x = 44.2/100

287/x = 0.442

x = 287/0.442

Hope this will help...

Answer:

Integer and Irrational Number

Step-by-step explanation:

Whole Numbers don't include fractions, Real numbers don't have sqrt in the btm and rational numbers don't inclue sqrt

Answer:rational number

Step-by-step explanation:

I did ot

Answer:

-3 and 4

Step-by-step explanation:

since they aren't multiplied a variable

Answer:

The commission made is $104

Step-by-step explanation:

Here, given the payment analysis, we want to know the total pay for a day in which 12 demonstrations were made.

From the question, we can deduce the following;

For the first 7 demonstrations , $7 is paid

Now for the remaining 5 out of the total 12, the amount paid per demonstration is $11

So the total commission earned will be;

$7(7) + $11(5)

= $49 + $55 = $104

Answer:

375< y < 525

Step-by-step explanation:

The minimum is 15* 25 = 375

the maximum is 15 * 35 =525

He can earn any amount between these two values

Answer:

See below

Step-by-step explanation:

1. Option D

2.  Option C

3.  Option B

4. No options provided

Answer:

Kristen auto wash earns revenues of 9 dollars per customer

In order to earn 36 they will need 4 customers

36÷9= 4

Answer:

The value is      [tex]y  =  \$ 225[/tex]

Step-by-step explanation:

From the question we are told that

   The amount charge per year is  [tex]k  =  \$ 200[/tex]

   The  number of members it will have at this amount is  [tex]n  =  50[/tex]

   The amount amount increase that will lead to the loss of a single member is   [tex]z =  \$ 5[/tex]

        Generally the total amount the club would obtain from  its members is mathematically represented as

      [tex]I  =  Amount \  due\ paid *  Number \  of members[/tex]

Now let x denote the number of member lost

Hence

      [tex]I  =  (k + zx) (n-x )[/tex]

=>    [tex]I  =  (200 + 5x) (50-x )[/tex]

=>  [tex]I  = 10000+50x-5x^2[/tex]

Thus the number of members that be removed to  give the maximum  income from dues is obtained by differentiating the above equation and equating it to zero

           [tex]\frac{dI}{dx}  =  50-10x[/tex]

=>         [tex] x   =  5[/tex]

So from  [tex]I  =  (200 + 5x) (50-x )[/tex] we have

          [tex]I  =  (200 + 5 (5)) (50-5 )[/tex]

           [tex]I  = \$ 10125 [/tex]

So the amount the club should charge is    

         [tex]y  =  \frac{10125}{50 - 5}[/tex]

         [tex]y  =  \$ 225[/tex]

Answer:

Proportion of total delivered on time is 70% or 7/10

Step-by-step explanation:

Here, we want to know the proportion of all the packages delivered on time.

Moving away from the percentage, let’s say the total produced package amongst the 3 is 100

So;

Service A has 60% which is 60

Service B has 30% which is 30

Service C has 10% which is 10

Now from here, we move as follows;

on time rate for service A is 80%

This means 80/100 of the 60 is delivered on time

That will be 80/100 * 60 = 48

For service B, 60% is delivered on time; Thus we have ;

60/100 * 30 = 1800/100 = 18

For service C , 40% of 10

40/100 * 10 = 4

So the total on time delivery will be;

18 + 4+ 48 = 70

So the proportion delivered on time will be 70/100 = 7/10 or 70%

The right side stayed the same so ignore the right side

Left Hand Side:

1/4n - 5 - 4n + 3

= (1/4n - 4n) + (-5 + 3)

= (-15/4n) + (-2)

= -15/4n - 2

Ans: D

Steps to solve:

9b + 5 = 23

~Subtract 5 to both sides

9b = 18

~Divide 9 to both sides

b = 9

Best of Luck!