Which of the following lines is perpendicular to the line y = 5x +9? Y= -1/5x - 7 Y= 5x - 1/9 Y= -5x +1 Y= 1/5x + 9

Answer:

(5-7)^2 because g(x) is the value of h(x) squared

x-7, s = 5

5-7)^2

Step-by-step explanation:

Answer:

7.5 mph

Step-by-step explanation:

Considering the perimeter of the rectangle, it is found that 44 feet will be needed to go all the way around the room.

The perimeter of a rectangle of length l and width w is given by:

P = 2(l + w)

In this problem, we have that the length and the width, are respectively, given by l = 12 and w = 10, hence:

P = 2(l + w) = 2(12 + 10) = 44.

44 feet will be needed to go all the way around the room.

More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198

Answer:

1/3 x 10 = 10/3, 10/3 = 3 1/3

Step-by-step explanation:

For 10 people he only would need 3 cups and 1/3 so he does have enough

Answer:

c

Step-by-step explanation:

Exponent division rule: If base are same for any two variables, then subtract the powers.

[tex]\dfrac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]\dfrac{f^{6}h^{9}}{f^{3}h^{7}}=f^{6-3}h^{9-7}\\\\\\ =f^{3}h^{2}[/tex]

Answer:

  144

Step-by-step explanation:

For a bitstring of length n, there are Fibonacci(n+2) strings containing no two consecutive zeros. This can be seen by constructing the strings starting with n=1.

1-bit strings: 1, 0 -- 2 strings not containing consecutive 0s

2-bit strings: 11, 10, 01 -- 3 strings not containing consecutive 0s

Note that we have added 1 to all the 1-bit strings, and added 0 only to the string ending in 1.

3-bit strings: 111, 110, 101, 011, 010 -- 5 strings not containing consecutive 0s

Note that these 5 strings consist of all (3) of the 2-bit strings with 1 appended, and all (1) of the 2-bit strings ending in 1 with 0 appended. The number that now end in 0 is the number previously ending in 1.

__

If (x, y) represents the numbers of n-bit strings ending in (0, 1), then the number of (n+1)-bit strings ending in (0, 1) is (y, x+y). That is, the recursive relation is ...

  [tex](x_1,y_1)=(1,1)\\(x_n,y_n)=(y_{n-1},\,x_{n-1}+y_{n-1})\\b_n=x_n+y_n\quad\text{number of n-bit strings without consecutive 0s}[/tex]

For n=1 to n=10, these pairs are ...

  (1, 1), (1, 2), (2, 3), (3, 5), (5, 8), (8, 13), (13, 21), (21, 34), (34, 55), (55, 89)

The sequence of b[n] values is ...

  2, 3, 5, 8, 13, 21, 34, 55, 89, 144

which are the n=3 to n=12 numbers from the Fibonacci sequence.

That is, there will be Fibonacci(12) = 144 10-bit strings with no consecutive 0s.

Answer:

........................................

Answer:

Okay so all you need to know is the percentage of the hydrogen peroxide.
We know that the total solution is 400 ml and the hydrogen peroxide solution is 8ml.
8/400

Percent means out of a hundred, this can go multiple ways.

Way #1, benchmarking.

So 8/400 simplified is 1/50 or 2/100.
1/50 is basically 2/100.

And percent means out of a hundred so 2/100 is basically 2percent.

Way #2, proportions

We want to know the percentage of hydrogen/ fabric dye

If you put it in numbers int he same fraction and put “x” as the unknown 8ml hydrogen peroxide solution you’d get.

8/400 = x/100
X/100 because percent means out of a hundred.
Now solve3

Cross multiply,

800 = 400x
divide 400 on both sides

2=x

Now plug it back in the proportion.

8/400 = 2/100

If you simplify to check if they are equal then it’s correct

Answer:

Step-by-step explanation:

Here we have relation between gallons of gas and the distance

The range depends on the domain which is limited up to 12 gallons

The range is:

Data set:

Answer:

straight angle and right angle virtually opposite angle

Answer:

5

Step-by-step explanation:

Answer:

B. Brent

Step-by-step explanation:

       Let us turn the Session 2 scores into fractions so we have common units.

(John) 52% -> [tex]\frac{52}{100}[/tex]

(Alexis) 57.5% ->  [tex]\frac{575}{1000}[/tex]

(Brent) 39.5% ->  [tex]\frac{395}{1000}[/tex]

       Now, we can simplify them.

(John I divide by 2)  [tex]\frac{52}{100}[/tex] -> [tex]\frac{26}{50}=\frac{13}{25}[/tex]

(Alexis, I divided by 5) [tex]\frac{575}{1000}[/tex] -> [tex]\frac{115}{200} =\frac{23}{40}[/tex]

(Brent, I divided by 5)  [tex]\frac{395}{1000}[/tex] -> [tex]\frac{79}{200}[/tex]

       Now subtract Session 2 from Session 1 for each and figure out which one is the largest to answer the question.

(John) [tex]\frac{2}{3}[/tex] - [tex]\frac{13}{25}[/tex] = [tex]\frac{11}{75}[/tex] or about 0.146667

(Alexis) [tex]\frac{11}{20}[/tex] - [tex]\frac{23}{40}[/tex] = [tex]\frac{-1}{40}[/tex] or -0.025

(Brent) [tex]\frac{7}{10}[/tex] - [tex]\frac{79}{200}[/tex] = [tex]\frac{61}{200}[/tex] or 0.305

       Since the absolute value of 0.305 is greatest, B. Brent has the largest success rate change.

Answer:

20

Step-by-step explanation:

The input (X) is 10. The output (Y) is 2X Which means 2 times X. So your answer is 2 × 10 which is 20.

Answer: Arithmetic Sequence

The nth term formula is  [tex]a_n = -15,000n + 365,000[/tex]

Delete the commas if needed.

=======================================================

Explanation:

Subtract each adjacent term like this

Each time we get -15,000 which is the common difference and helps show we have an arithmetic sequence.

The nth term formula can be found following these steps.

[tex]a_n = a + d(n-1)\\\\a_n = 350,000 + (-15,000)(n-1)\\\\a_n = 350,000 - 15,000n + 15,000\\\\a_n = -15,000n + 365,000\\\\[/tex]

If we plugged in n = 1, then we'd get,

[tex]a_n = -15,000n + 365,000\\\\a_1 = -15,000(1) + 365,000\\\\a_1 = -15,000 + 365,000\\\\a_1 = 350,000\\\\[/tex]

Showing the first term is $350,000 which is the initial value of the house.

I'll let you try the other values of n.

Plugging in n = 2 would lead to [tex]a_2 = 335,000[/tex]

Plugging in n = 3 would lead to [tex]a_3 = 320,000[/tex]

Answer:

B

Step-by-step explanation:

If a=2, then a+5 is still less than 8. This counter example proves that b is not less than 5, but is less than 6.

The counterexample of the given statement is;

⇒ b = 5

Option B is true.

What is Function?

A relation between a set of inputs having one output each is called a function.

The conditions is given as;

If a + b < 8 and a = 2, then b < 5.

Now,

Let b = 5

Then, a + b = 2 + 5 = 7, is less than 8.

But b= 5 is not less than 5.

So, The counterexample of the given statement is;

⇒ b = 5

Option B is true.

Learn more about the function visit:

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Answer:

The y intercept is 92, this is because:

In slope intercept equations, it is formatted like:

y = mx + b

where y is the dependent variable and x is the independent variable

m is the slope

and b is the y - intercept

In terms of this situation, 92 means I think probably the start of their latest grades.

Answer:

The equation of the circle with centre (5, 6) and radius = 3 is x2 +y2 - 10x - 12y + 52 = 0.

I believe this is the answer.

Answer: 8109/77 in decimal form 105.31169

Step-by-step explanation: simplify 153/4

189 811  212  153

 ((———+———)+———)+———

   11  14   11   14

212

Simplify   ———

           11

Find the Least Common Multiple

     The left denominator is :       11  

     The right denominator is :       14  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

11 1 0 1

2 0 1 1

7 0 1 1

Product of all  

Prime Factors  11 14 154

Least Common Multiple:

     154

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 14

  Right_M = L.C.M / R_Deno = 11

Rewrite the two fractions into equivalent fractions

  L. Mult. • L. Num.      14535

  ——————————————————  =   —————

        L.C.M              154  

  R. Mult. • R. Num.      153 • 11

  ——————————————————  =   ————————

        L.C.M               154    

Adding fractions that have a common denominator :

7.4       Adding up the two equivalent fractions

14535 + 153 • 11     8109

————————————————  =  ————

      154             77

8109              

 ———— = 105.31169  

  77            

To find the degree of this function, you would look at the first term of the function, which is 3. So, the degree of this function would be 3.

Answer:

x = 10, y = 20

Step-by-step explanation:

7x + 20 + 90 = 180 (adj angle on st line)

therefore x = 10

5x + 2y = 90 (vertically opposite angle)

2y = 40

y = 20

Answer: 1/12

Step-by-step explanation:

Multiply the top which is 2. Multiply the bottom which is 24. Simplified by 2 is 1/12.

Answer:A

Step-by-step explanation:

I just did this one and that was correct

eg. the first loan is x, the second loan will be (9,000 - x)

First, we need to make an equation based on the problem

first interest + second interest = 492

5% of x + 6% of (9,000 - x) = 492

This is the equation

Second, solve the equation and find out the value of x (first loan)

0.05x + 0.06(9.000 - x) = 492

0.05x + 540 - 0.06x = 492

-0.01x + 540 = 492

-0.01x = 492 - 540

-0.01x = -48

x = -48/-0.01

x = 4,800

Third, find the second loan

9,000 - x

= 9,000 - 4,800

= 4,200

SUMMARY

The first loan that has interest of 5% is $4,800

The second loan that has interest of 6% is $4,200

Answer:

Ray AC.

Step-by-step explanation:

They are the same; if you look at the figure, you can see that A and C are the same distance from each other and a ray in either direction would be equivalent to its counterpart.

Answer:

AC

Step-by-step explanation:

Answer:

Solution for Divide the number of meters by to find the number of laps. Runners 3 4 Number of Laps 4. 8 12 Number of Meters 1600 3200 4800 6400 de the…

Step-by-step explanation:

Answer:

It's a palindrome - in that it reads the same backwards as forwards - so long as the decimal point remains in the same place.

Step-by-step explanation: