Simplify.
Rewrite the expression in the form 6^n. 6^-6/6^-5=

Answer:

1. 51

2. 13

Step-by-step explanation:

1. 42 + 9

42 + 9 = 51

2. (5+8)

5 + 8 = 13

Answer:

E. [tex] \purple { \bold{ \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}[/tex]

Step-by-step explanation:

[tex] \int \sqrt{ \frac{x - 1}{ {x}^{5} } } dx \\ \\ = \int \sqrt{ \frac{x - 1}{ {x}^{4} .x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ \frac{x - 1}{ x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx \\ \\ let \: 1 - \frac{1}{ x} = t \\ \\ \implies \: \frac{1}{ {x}^{2} } dx = dt \\ \\ \implies \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx = \int \sqrt{t} dt \\ \\ = \int {t}^{ \frac{1}{2} } dt \\ \\ = \frac{t ^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} t ^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \sqrt{ {t}^{3} } + c \\ \\ = \frac{2}{3} t\sqrt{ {t} } + c \\ \\ = \frac{2}{3} (1 - \frac{1}{x} ) \sqrt{1 - \frac{1}{x} } + c \\ \\ \red{ \bold{= \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}\\ \\ [/tex]

Explanation:

The scale factor 2 means we multiply the coordinates of every original point by 2. A point like (-1,1) moves to (-2,2) after doing so

As another example, (4,1) moves to (8,2) after multiplying both coordinates by 2.

Answer:

2585.48.

Step-by-step explanation:

The formula to convert pounds to grams is to approximately multiply 5.70 by 454, which is equal to 2585.48.

The simple interest for a deposit of $ 5,000 at 3 % rate of interest for 1 year would be $ 150

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the simple interest be represented as S

Now , the value of S is

The principal amount = $ 5,000

The rate of interest R = 3 %

The time period T = 1 year

So , the Simple Interest is given by the equation

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

Simple Interest S = ( 5000 x 3 x 1 ) / 100

On simplifying the equation , we get

Simple Interest S = 150000 / 100

Simple Interest S = $ 150

Therefore , the value of S is $ 150

Hence , the simple interest for the deposit is $ 150

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Answer:

Commission: $3625.70

Total (sales + commission): $59405.70

Step-by-step explanation:

6.5% of 55780 = 0.065 × 55780 = 3625.7

55780 increase 6.5% =

55780 × (1 + 6.5%) = 55780 × (1 + 0.065) = 59405.7

Answer:

81,300

Step-by-step explanation:

Answer:

n = ⅜

Step-by-step explanation:

Answer: n = 1/6

Step-by-step explanation:

2/3n + 1/2 = 3/4

-1/2                -1/2

2/3n = 1/4

multiply both sides by 2/3

n = 1/4 *2/3

n = 2/12

reduce

n = 1/6

Answer:

slope is -3

Step-by-step explanation:

m is the slope, this may have been a trick question.

by the points given the slope is 1

Answer:

1/4

Step-by-step explanation:

You are being asked to find 1/3 of 3/4. To find a fraction of a number, you multiply them:

1/3 * 3/4

(cross multiply)

3/12

(simplify (divide top and bottom by three))

1/4

Answer:

the graph of the rational function is B

Answer:

Step-by-step explanation:

B

Answer:

1. Slyvia is wrong. You treat the numbers normally when dividing the left side, so 3.61/4.1 = .88. When dividing the exponents, you subtract the numerator from the denominator, so -11-7 = -18. So, you do have .88 * 10^-18, at first, but when you are working in scientific notation you want the decimal to be greater than so, which requires us to add an additional -1, to make it 8.8 instead of 0.88. This is because we want to move the decimal place left one more time. This results in our final answer being 8.8 * 10^-19, which is not Slyvia's answer.

2. Dylan's answer is correct. He subtracted the exponents correctly, then moved the decimal place over one place towards the left.

3. Ethan is wrong. He added the exponents, instead of subtracting. However, you cannot do this, because when you are dividing exponents, you must subtract.

Step-by-step explanation:

I have this acronym I learned called MADSPM, which has helped me a lot. I never learned it in Algebra, but I wish that they had taught it. Each letter corresponds with an exponent rule. If this makes sense, here is what it stands for:

When you multiply, you add.

When you divide, you subtract.

When there are parentheses, you multiply.

In this case, it was solely division. So, you just need to remember division = subtraction, when it comes to exponents.

Hopefully this helped. If you need me to explain it better, please let me know, and I will try. Thanks much & have a wonderful day!

Step-by-step explanation:

step 1. The first equation 4x - y = 5 has a slope of 4. The 2nd equation simply cannot have the same slope for there to be 1 solution.

step 2. -y = 4x + 5. This has a slope of -4 so "yes" it could work.

step 3. y = 4x - 5. "no".

step 4. 2y = 8x - 10. The slope is 8/2 = 4. "no".

step 5. -2y = 8x - 10. The slope is 8/-2 = -4. "yes".

Answer:

B

Step-by-step explanation:

I think it is No am not sure exactly

The expanded form of this number 570.086 is,

⇒ (5 × 100) + (7 × 10) + (8 × 1/100) + (6 × 1/1000)

The value represented by a digit in a number on the basis of its position in the number is called a Place value.

Given that;

The number is,

⇒ 570.086

Now, We can expand the number as;

⇒ 570.086

⇒ 500 + 70 + 00 + 8/100 + 6/1000

⇒ (5 × 100) + (7 × 10) + (8 × 1/100) + (6 × 1/1000)

Thus, The expanded form is,

⇒ (5 × 100) + (7 × 10) + (8 × 1/100) + (6 × 1/1000)

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Answer:

[tex]y = 2 \\ x = 1[/tex]

Step-by-step explanation:

[tex]y = 2 \\ x = 1[/tex]

Answer:

r = - 11

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

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

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)

m = [tex]\frac{r-5}{8-4}[/tex] = [tex]\frac{r-5}{4}[/tex] = - 4 ( multiply both sides by 4 )

r - 5 = - 16 ( add 5 to both sides )

r = - 11

Answer:

7/12 miles i think

Step-by-step explanation:

3/4 x 1/3 = 1/4

1/3 + 1/4 = 7/12 miles

Answer:

47.68 inches

Step-by-step explanation:

As seen in the diagram attached below we can see that the tv is a rectangle. We are given the diagonal and the height which means we have to find the length. Since the tv diagonal forms a right triangle we can use the Pythagorean theorem to solve for the length. This theorem would be the following.

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

where a and b are the sides of the triangle and c is the diagonal.

[tex]27^{2} + b^{2} = 54.8^{2}[/tex]

[tex]729 + b^{2} = 3,003.04[/tex]

[tex]b^{2} = 2,274.04[/tex]

[tex]b = 47.68[/tex]

Finally, we can see that the length of the TV is 47.68 inches

Answer:

X=11

Step-by-step explanation:

6 x 11 is 66, after adding 2 its 68. They are equal because they are vertical angles :)

Answer:

11

Step-by-step explanation:

I did:

68 - 2= 66

66 divided by 11= 6

To check my work I did:

6 * 11= 66

66 + 2= 68

Hope this helps!

Answer:

ang hirap pag aralan mo po muna

Answer:

C

Step-by-step explanation:

Because the circle is not shaded in, it doesn't count the number it's on:

So it would be a < or >.

Because this is on a number line and the shaded part goes to the left, it will be < because it points to the left.

The non-shaded circle is on 4, so your answer, x, will be:

x < 4

But the answer choices don't have this, meaning you have to simplify all of them.

The first one is:

x + 9 < 5

x < -4

x - 5 < 9

x < 14

x + 5 < 9

x < 4

x - 9 < 5

x < 14

So it would be C.

Answer:

-120/169

Step-by-step explanation:

Sin2theta = 2sintheta costheta

Given that tan theta = -12/5

Opposite = -12

Adjacent = 5

Using Pythagoras theorem

Hyp = √(-12)²+5²

Hyp = √144+25

Hyp = √169

Hyp = 13

Cos theta = adj/hyp

Cos theta = 5/13

Sin theta = opp/hyp

Sin theta = -12/13

Substitute

Sin2theta = 2(-12/13)(5/13)

Sin2theta = -120/169

Hence sin 2theta = -120/169

Answer:

I'm not sure

Step-by-step explanation:

Sorry

Answer:

the real answer is 48 but if you round it to the nearest tenth it's 50

Step-by-step explanation: I hope my answer helps, if it does help can I get the brainliest answer, thanks.

Answer:

Its C

Step-by-step explanation:

The y starts at negative 3 and it is going up by 1 and over 2

Hope this Helped

Answer:

C. y = 1/2x - 3

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

2

y-intercept:  

(

0

,

−

3

)

x

y

0

−

3

6

0

Answer:

D

Step-by-step explanation:

3/4 = 12/16

Answer- $7.50

Step-by-step explanation: edg