In January, the depth of a lake was 1,178 feet. In August, the depth of the lake was 1,001.3 feet. What is the percentage decrease of the depth of the lake from January to August?

Answer:

7.5 mph

Step-by-step explanation:

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:

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:

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.

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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:

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

The answer is the last one. The one with (-60,0) (0,80) and (60,0)

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:

(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:

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:

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:

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:

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: 1/12

Step-by-step explanation:

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

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

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.

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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:

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:

slope = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 10) ← 2 ordered pairs from the table

m = [tex]\frac{10-2}{3-1}[/tex] = [tex]\frac{8}{2}[/tex] = 4

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:

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:A

Step-by-step explanation:

I just did this one and that was correct

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:

5

Step-by-step explanation: