5. * Your parents drove the family car 462 miles on 14 gallons of gas. On average, how many miles did the car travel on each gallon of gas (Write the expression and solve)?

Answer:

a₈ = [tex]\frac{1}{78125}[/tex]

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

Here a₁ = 1 and r = [tex]\frac{1}{5}[/tex] , then

a₈ = 1 × [tex](\frac{1}{5}) ^{7}[/tex] = 1 × [tex]\frac{1}{78125}[/tex] = [tex]\frac{1}{78125}[/tex]

Answer:

below

Step-by-step explanation:

In short, a book report is an essay that contains what you read and learned from reading a book. For example, you would write a book report in the following sequence:

Best of Luck!

Step-by-step explanation:

take into 2 sections

-5<a-4 and a-4<2

-1<a and a<6

therefore it should be the 2nd one

Answer:

The answer is 2:3 as the order is different. Simplified the first option is 2:3, the second one: 2:3, the third one 3:2 and the fourth one 2:3

Answer:

I think the first one is the best answer but you might be expected to say variable. I cannot choose one answer. It all depends what you have been told or what your teacher has said about it.

Myself, I would pick A.

Step-by-step explanation:

Symbols (like letters) that are used to represent numbers which are unspecified.

The problem is that variable is also a possible answer. The problem is that a variable is usually a letter. Symbols do are not used for variables in anything but counting systems.

When you look up the word variable it is defined as a symbol. But that is too confining.

Answer:

54+456/79*78=5689

Step-by-step explanation:

maaf kalo salah

[tex]45 \times 456[/tex]

Answer:

[tex]6faces \\ thank \: you[/tex]

Answer:

4. ☐ A [tex]\displaystyle \frac{1}{3}[/tex]

☐ B [tex]\displaystyle 2[/tex]

☑ C [tex]\displaystyle 3[/tex]

3. ☐ A [tex]\displaystyle \frac{\pi}{3}[/tex]

☐ B [tex]\displaystyle \pi[/tex]

☑ C [tex]\displaystyle 6\pi[/tex]

Step-by-step explanation:

[tex]\displaystyle y = -2sin\:(\frac{1}{3}x + \frac{\pi}{2}) \\ y = -2cos\:\frac{1}{3}x[/tex]

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1\frac{1}{2}\pi} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{1}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6\pi} \hookrightarrow \frac{2}{\frac{1}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6\pi} \hookrightarrow \frac{2}{\frac{1}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

The above information can help you interpret the graph much better. First off, JUST IN CASE you needed to know the trigonometric equation(s) of this graph, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = -2sin\:\frac{1}{3}x,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle 1\frac{1}{2}\pi\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle 1\frac{1}{2}\pi\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-1\frac{1}{2}\pi} = \frac{-\frac{\pi}{2}}{\frac{1}{3}}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -2sin\:(\frac{1}{3}x + \frac{\pi}{2}).[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [0, -2],[/tex] from there to [tex]\displaystyle [-6\pi, -2],[/tex] they are obviously [tex]\displaystyle 6\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 6\pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex] in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow. Now, in this case, you were probably wondering why the negative was inserted in front of the amplitude in the equation(s). Well, here is why:

[tex]\displaystyle y = sin\:x \\ y = cos\:x[/tex]

Knowing your parent functions, sine commenses upright from the origin, while cosine commenses one unit above the origin [tex]\displaystyle [0, 1].[/tex] This should tell you that inserting a negative in front of the amplitude will REFLECT each crest over the midline. Well, there you have it.

I am delighted to assist you at any time.

Problem 1

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Explanation:

The tickmarks say that TU and UV are the same length. Both are 23 units each. They combine to TU+UV = 23+23 = 46, which is the length of TV

TV = 5x+6

TV = 46

5x+6 = 46

5x = 46-6

5x = 40

x = 40/5

x = 8

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Problem 2

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Explanation:

We use the same idea as the previous problem.

PQ = 6x-1 is the same length as QR

PQ+QR = (6x-1)+(6x-1) = 12x-2 = PR

Since PR = 15x-29, we can then say,

PR = 12x-2

15x-29 = 12x-2

15x-12x = -2+29

3x = 27

x = 27/3

x = 9

From there,

This shows that PQ+QR = PR is true and it helps confirm the answer.

Answer:

j = 144

Step-by-step explanation:

-j / 18 = -8

[multiply both sides by 18 to cancel out the denominator of 18

Answer:

0.008 or 1/125

Step-by-step explanation:

Answer:

[tex]5^{-3}[/tex] in scientific notation would be [tex]8*10^{-3}[/tex].

Step-by-step explanation:

An integer to the power of a negative number is equivalent to one over that base to the power of the positive exponent. In this case, [tex]5^{-3}[/tex] would be [tex]\frac{1}{5^{3}}[/tex] or [tex]\frac{1}{125}[/tex], which equals 0.008. Scientific notation is a way to express a number in the form of [tex]a * 10^{b}[/tex] where [tex]a[/tex] is greater than or equal to 1 but less than 10. We know that 8 would be the value of [tex]a[/tex], so all you need to know is the value of [tex]b[/tex]. Because [tex]10^{-3}[/tex] is equivalent to 0.001, and multiplied by 8 is equivalent to 0.008, that means [tex]5^{-3}[/tex] in scientific notation would be [tex]8*10^{-3}[/tex].

Answer:

semoga jawapan ini dapat membantu

Answer: 14-degree decrease

Step-by-step explanation:

because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.

Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius

Answer:

[tex]x=21[/tex]

Step-by-step explanation:

Hi there!

We're given that angle POR measures 90 degrees. Ray OQ bisects it, meaning it splits it into two equal angles.

90 ÷ 2 = 45.

This means that each of those individual angles are 45 degrees. This means:

[tex]2x+3=45[/tex]

Solve:

[tex]2x=42\\x=21[/tex]

Therefore, x=21.

I hope this helps!

Answer:

option(B)

Step-by-step explanation:

1 + 1 × 2

using BODMAS, Multiplication comes first then Addition

=> 1 + (1 × 2)

=> 1 + 2

=> 3

Answer:

Company C

Step-by-step explanation:

$60+4($20)=$140, lowest total price

Answer:

100 but I am not sure I guess it's 100

Answer:

15

Step-by-step explanation:if you make the donminater  the same on all three equations you get 15 and 6 is drinking water so minus 6 that 9 2/5 are resting by a nearby pond so minus 6 and 1/3 i grazing the forest so minus 3 and you get zero so the answer is 15

Answer:

B

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log (xy)

[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]

Given

[tex]log_{4}[/tex] (x + 3) + [tex]log_{4}[/tex] x = 1 , then

[tex]log_{4}[/tex] x(x + 3) = 1

x(x + 3) = [tex]4^{1}[/tex] = 4

x² + 3x = 4 ( subtract 4 from both sides )

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

However, x > 0 , thus x = 1

Step-by-step explanation:

total area is 18 × 20 = 360

but by excluding window it will be less than 360

here U have not given lenght of windows so i can not find answer

Answer:

-1

Step-by-step explanation:

All negative integers are not whole numbers

Answer:

OA) -7.8 repeating... is irrational number

Step-by-step explanation:

I. Repeating Decimal is on of irrational number

II. Pie.value is also irrational number, but in computer science, we can find pie value with the quantum computer.

Answer:

.95

Step-by-step explanation:

JJ = (22.02 - 3.02) / 20

(22.02 - 3.02) / 20

19 / 20= $0.95

Answer:

Rs.6780

Step-by-step explanation:

VAT=6000*13/100

       =Rs.780

Price=6000+780

        =6780

Answer:

C. the mean is less than the median.

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

The solid circle at - 3 indicates that x can be equal to - 3

The arrow pointing left indicates the values of x are less than - 3

Then

x ≤ - 3 → B

N = 4.2m

Sorry for my bad writing but this is the explanation and answer.

Answer:

1. x minus twenty

2. five n plus two

3. a raised to the third power / a cubed

4. n raised to the fourth power then minus one

Step-by-step explanation:

Ight I got u. Im a AP calc bc student so trust xd