Half of the product of two consecutive numbers is 105. which equation can be used to solve for n, the smaller of the two numbers

That's a really good positive correlation pictured.  The line fits the data very well.  The slope of the line is positive, meaning as x increases so does y.  I'd choose a big positive value.

Answer: 0.872

The correlation coefficient for the set of data is 0.872.

A correlation coefficient exists as a number between -1 and +1 that represents the linear dependence of two variables or groups of data

Using the process CORREL in the Excel tool, find the correlation coefficient

see the attached table

the correlation coefficient is equal to

r = 0.872373

Therefore, the correlation coefficient for the set of data is option D. 0.872.

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Givens

The cost of one piece of new equipment = 400

The number of new items needed = 4

Cost of one month's use = 35 dollars.

Income from 1 month's use = y

Number of members = x

Problem

Robert, the owner of a gym on the coast of Louisiana, has to replace 4 machines after a hurricane came through. Each machine costs 400. The gym cannot operate without these 4 machines. The gym will be be down for 1 month. He has x members who each pay 35 dollars for the use of the gym for a month. What is the total amount (y), that he is "out" for the month.

y = 35x + 400*4.

Answer:

1)[tex]10^{-1}[/tex]

2)[tex]2^{-2}[/tex]

3)[tex]12^{-2}[/tex]

Step-by-step explanation:

Using negative exponent rule:

1) one -tenth of kilometer =.1 =[tex]\frac{1}{10}=10^{-1}[/tex]

Using negative exponent rule:

2) [tex]\frac{1}{4} =\frac{1}{2^{2} }=2^{-2}[/tex]

Using negative exponent rule:

3)[tex]\frac{1}{144} =\frac{1}{12^{2} }= 12^{-2}[/tex]

3x + 5x = 8x

2n - 3n = - n

4c + c - 7c = 5c - 7c = - 2c

4x - 6x + x - 5x = - 2x + x - 5x = - x - 5x = - 6x

3a + 2a + 7a - 5 = 5a + 7a - 5 = 12a - 5

just because they are scary

if you have a strong gag reflex. You also might get splinters from the stick so you should avoid it.

Is there any more info?

Answer:

the numerator is 12

Step-by-step explanation:

since 48 is a percent, it would be put as 48/100 as a fraction. since both the numerator and denominator are divisible by 4, you can reduce the fraction into 12/25. Since the question is asking what the numerator was when the denominator was 25, the answer is 12.

Answer:

A=12

Step-by-step explanation:

The equation [tex]4 * 3 = 12[/tex] is an accurate mathematical representation of the statement. First, create a model using objects, such as circles or blocks, to represent the numbers involved:-

Now,

Draw three circles to represent the number 3.

Then, draw four groups of three circles each, representing "4 times as many as 3."

In total, you will have 12 circles.

Now, write an equation to describe this model:-

[tex]4 * 3 = 12[/tex]

In this equation:-

The number 4 represents the "4 times as many as" part of the statement.

The number 3 represents the initial quantity, which is multiplied.

The result, 12, represents the total or the final amount.

The equation [tex]4 * 3 = 12[/tex] is an accurate mathematical representation of the statement. It shows that when you multiply 3 by 4, you indeed get 12, which aligns with the given statement that "4 times as many as 3 is 12." This visual and algebraic representation helps to understand and demonstrate the concept of multiplication.

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Answer:

39.66

Step-by-step explanation:

If the divisor is not a whole number, move decimal point to right to make it a whole number and move decimal point in dividend the same number of places.

Divide like you usually do

Put decimal point directly above decimal point in the dividend.

Check your answer.

Answer:

39.66

Hope this helps :-)

Answer:

Option B

Step-by-step explanation:

h(x) =  x             if  x <  -1

         -x             if  x ≥  -1

Here piece wise function is given.

Firstly we graph the line h(x)  = x .

Remember that, this line start from x = -1 to -infinite , because x is less than -1.

Here we can not include the point x=-1. This situation represent with the help of circle at x = -1.

Now we graph the line h(x)  = -x .

Remember that, this line start from x = -1 to infinite , because x is greater  than equal to -1.

Here we  include the point x=-1. This situation represent with the help of solid circle at x = -1..

So, option 2 is correct answer.

To solve this problem you must apply the proccedure shown below:

1. You have the following formula given in the problem above:

[tex]PV=nRT[/tex]

3. Then, to solve for P you only need to move V  from the left member to the right member. V is multiplying P, therefore, it will divide [tex]nRT[/tex], as you can see below:

[tex]PV=nRT\\P=\frac{nRT}{V}[/tex]

Therefore, the answer is: [tex]P=\frac{nRT}{V}[/tex]

10(1/2x + 6) = 8

Distributive property.

5x + 60 = 8

Subtract 60 from both sides.

5x = -52

Divide both sides by 5.

x = -10.4 (This is your answer.)

Answer:

The expression [tex](x+1)^2[/tex] represents the radius of the soap dispenser.

The expression [tex]4x+1[/tex] represents the height of the soap dispenser.

Step-by-step explanation:

The question says that the soap dispenser is in the form of a cylinder.

Now, we find the volume of the cylinder by using the given formula:

[tex]V= \pi r^2 h[/tex], where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.

Now, the volume is the product of radius squared and the height, if they both are functions of [tex]x[/tex], then the function to represent the volume must have cubic exponents.

Since, the radius is squared in the formula and it is a function of [tex]x[/tex] that implies that the function of radius must have square as the exponent of [tex]x[/tex], therefore, the expression [tex](x+1)^2[/tex] will represent the radius of the soap dispenser and the expression [tex](4x+1)[/tex] represents the height of the soap dispenser.

Answer:

D

Step-by-step explanation:

Answer is -23

Add 4 from both sides

Subtract 5 from both sides

Then divide 7

To get rid of the parantheses we must multiply -4 times anything inside the parantheses.

-4(7x+5)=-160

-28x-20=-160

Add 20 to both sides of the equation.

-28x-20=-160

-28x=-140

Divide both sides by -28

-28x/-28=-140/-28

x=5

Our final answer is 5

Hope this helps!

5.93 * 10^(-5) Hope this Helps

0000593

thats the answer

Answer:

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Step-by-step explanation:

Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.

Let flat rental fee be c and cost per mile driven = m and miles driven = x

Total cost =y

Then y = mx+C is the linear equation.

to find m and c, we use the fact that y =110.30 when x = 222

i.e. 110.30 = c+222x

and similarly 99.05 = c+147x

Subtract to eliminate c

11.25 = 75 x

0.15 =x

Substitute in I equation

110.30 = c+222(0.15)

c = 77

Hence y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Answer:

y = 0.15x+77

Step-by-step explanation:

Answer:

The inequality will be:  [tex]x<560[/tex] , where [tex]x[/tex] is the distance of the retail outlets from the warehouse.

Step-by-step explanation:

For a one-way trip, the trucking company charges a flat rate of $250 per truck, plus $1.25 for every mile driven.

Suppose, the number of miles driven is  [tex]x[/tex]

So, the charge for  [tex]x[/tex] miles will be:  [tex]\$1.25x[/tex]

and the total charge for a one-way trip will be:  [tex]\$250+\$1.25x[/tex]

Given that, the apparel company has a budget of less than $950 per trip.

So, the inequality will be.........

[tex]250+1.25x<950\\ \\ 1.25x<950-250\\ \\ 1.25x<700\\ \\ x<\frac{700}{1.25}\\ \\ x< 560[/tex]

Thus, the retail outlets which are less than 560 miles away from warehouse can be serviced with the given requirements.

Here is you're answer:

In order to solve this equation you have to remember that a negative divided by a positive is a negative then just solve the equation.

Therefore you're answer is "-17."

Hope this helps!

Emily's clothing store sold 138 short sleeve shirts, calculated by dividing the total shirts by the sum of the ratio parts (10) and multiplying the result by the short sleeve part of the ratio (3).

The question asks how many short sleeve shirts were sold if the ratio of short sleeve to long sleeve shirts is 3:7 and a total of 460 shirts were sold. To find the answer, first calculate the total parts of the ratio by adding both parts of the ratio together, which is 3+7=10.

Then, divide the total number of shirts by the total parts of the ratio to find out how many shirts each part of the ratio represents: 460/10=46. Since the ratio of short sleeve shirts is 3 parts, multiply the number each part represents by 3 to get the number of short sleeve shirts: 46*3=138. Therefore, Emily's clothing store sold 138 short sleeve shirts.

For this type of question, you have to use the Pythagorean Theorem:

[tex]a^{2} +b^{2} = c^{2}[/tex]

In the theorem, a and b are the legs. To find the length of the hypotenuse, you have to square the lengths of the two legs and add it together. Then, find the square root of the sum.

First square both numbers.

[tex]a=12 \\ a^{2} = 12 \times 12 = 144[/tex]

[tex]b = 16 \\b^{2} = 16 \times 16 = 256[/tex]

Now that you have the numbers, you need to add them.

[tex]144+256=400[/tex]

Now you need to find the square root of 400 to find the length of the htypotenuse.

[tex]\sqrt{400} = 20[/tex]

The length of the hypotenuse is 20 cm, which is the 3rd choice

a. 15 cm x

b. 17 cm x

c. 20 cm ✔

d. 28 cm x

If you have any questions, feel free to ask in the comments! :)

Answer:

the answer is C

Step-by-step explanation:

235$ and if you withdraw 20$ on three days thats 60$ so if we remove that from the account we have 175$ left.

Then on Friday when he got paid he put 130$ into the bank he has 175+130=305$

If he wrote a check 1 for 167$ and 1 for 212$ thats his account balance - 212 then -167 = 305 -378 so he has a balance of -73

The checking balance after writing the checks is -$74.

To calculate the checking balance after writing the checks, we need to keep track of George's transactions:

To find the final balance, we add the positive values (deposits) and subtract the negative values (withdrawals and checks):

Starting balance ($235) + Deposits ($130) - Withdrawals ($60) - Checks ($167 + $212) = $235 + $130 - $60 - $167 - $212 = -$74

Therefore, the checking balance after writing the checks is -$74.

There are 126 possible selections of collars for Tony's 4 dogs if repetitions of colors are not allowed.

The number of selections of collars possible if repetitions of colors are not allowed, we can use the concept of permutations.

Using the formula for permutations without repetition, we can calculate this as:

9P4 = 9! / (9 - 4)!

= 9! / 5!

= (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)

= 3024 / 24

= 126

This shows that  126 possible selections of collars for Tony's 4 dogs if repetitions of colors are not allowed.

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find c when D=12: First you have to plug in the number so if d=12 the you do c=12(1.5) which equals 18. C=18

Find d if C=15: you now have to do the inverse operation. if c=d1.5 then d= c/1.5 Then plug in the numbers again, d=15/1.5  it equals 10, so d=10

I hope this helps (:

You multiply by 1.12 to find your answer

Answer: 1.12

To get this answer, you would represent 12% as 0.12 (move the decimal point 2 spots to the left to go from 12.0% to 0.12) then you add on 1 to get 1+0.12 = 1.12

Another way to think about it is to have 100% + 12% = 112%, so the new price is 112% of the old price. For example, if the car was $100 and you increase the price by 12%, then it jumps to $112. Notice how 1.12*(old price) = 1.12*100 = 112 = new price

Answer:

7719 = 3*31 * 83

Step-by-step explanation:

Because 93 can be factored down further. It is 31*3. So the prime factorization of

7719: 83 * 31 * 3

83 is a prime. It cannot be broken down any further.

[tex]y^2-16=y^2-4^2=(y-4)(y+4)\\\\\text{used}\ a^2-b^2=(a-b)(a+b)[/tex]

I beleive the answer = (1, -4)

Answer:

Step-by-step explanation:

y=  3x-7=  -4x