What is the simplified form of 1/x2 over 3/x3

Answer:

O C. y = 3.80.2.01%

Step-by-step explanation:

ur welcome

The exponential regression equation that fits these data is y= 2.26 (3.0[tex]2)^x[/tex].

As, in an exponential function is one in which an independent variable, x, is increased to the power of a constant.

As a result, when plotting these data points, we see that an exponential curve provides the best fit, and the following equation provides the best fit is

y= 2.26 (3.0[tex]2)^x[/tex]

Thus, the requires exponential regression equation is y= 2.26 (3.0[tex]2)^x[/tex].

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Answer:

RT is 6.95 units long

Step-by-step explanation:

Use tan to find the unknown measurement

tan 41 = x/8     Simplify

0.8692 = x/8  Multiply both sides by 8

6.9536 = x

Answer: A. 31%

Step-by-step explanation:

First you need to find the area within each circle. This can be found by using the formula: pi * r^2

The area of the circle with radius 8mm is 64 * pi. The area of the circle with radius 14mm is 196 * pi.

196 * pi = 615.75216

64 * pi = 201.06193

Now divide the larger area by the smaller area to get how many times larger the large area is than the small area.

615.75216 / 201.06913 = 3.06239

3.06239 rounds up to 3.1

Now we know the radius of 14mm has an area 3.1 times the area of 8mm. The area of an 8mm radius has 31% of the area of a 14mm radius.

Answer:

Proportion of blue marbles in in sample = 9/40

Step-by-step explanation:

Total number of blue marbles in a jar is given by 25%

Lets find the probability of blue marble in the jar of the given sample:

Proportion of blue marbles in in sample = Total number of blue marbles in sample/ Total number of marbles in sample

Where

Total number of blue marbles in sample = 9

Total number of marbles in sample = 9 + 15 + 16

Total number of marbles in sample = 40

SO

Proportion of blue marbles in in sample = 9/40

or

Proportion of blue marbles in in sample = 9/40

Answer:

-7, -10

Explanation:

To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.

Take a look at the sequence given:

8, 5, 2, -1, -4,...

Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.

8 - first term

5 - second term

8 ? ? = 5

8 - 3 = 5

So, this means they subtracted three to get the next term. Therefore, the pattern should be 'subtract three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.

8, 5, 2, -1, -4,...

8 - 3 = 5

5 - 3 = 2

2 - 3 = -1

-1 - 3 = -4

So, since 'subtracting three' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next two terms.

-4 - 3 = -7

-7 - 3 = -10

Therefore, the next two terms in the sequence are -7, -10.

Answer: Y=24000-3000x

9000=24000-3000x

-15000=-3000x

x=5 years

first we need to set the equation

at plug in all the information we have. In our case, we know cars value or y =9000, we need to find what is the x value

2

we need to subtract 24000 on both sides, and then divide by -3000 on both sides, and find out for x in years

Step-by-step explanation:

The model of the car's value, y, in dollars, after x years is:

y = -3000x + 27000

The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the number of years and y represent the value in dollars.

Since the new car worth is $27000, hence b = 27000. Also it depreciating in value by $3,000 per year, hence m = -3000. The car value is given by:

y = -3000x + 27000

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Answer:

[tex](A)\dfrac{5s^7}{6}\\(B)s^5\\(E)-6rs^5 \\(F)\dfrac{4r}{5^6}[/tex]

Step-by-step explanation:

A polynomial is said to be in standard form when it is written in descending order of the given variable.

From the given polynomial

[tex]+ 8r^2s^4 - 3r^3s^3[/tex]

Therefore, a first term of the polynomial must satisfy the following:

The following satisfies these conditions:

[tex](A)\dfrac{5s^7}{6}\\(B)s^5\\(E)-6rs^5 \\(F)\dfrac{4r}{5^6}[/tex]

Answer:

Resistance of 8 feet wire = 0.81 Ω

Step-by-step explanation:

Equation representing the relation between the resistance and length of a cylindrical shaped wire is,

R = ρ.[tex]\frac{l}{A}[/tex]

Here R = Resistance of the cylindrical wire

ρ = Resistivity of the material

l = Length of the wire

A = Cross sectional area of the wire.

If length of the wire = 160 ft

Resistance = 16.2 Ω

By substituting these values in the formula,

16.2 = ρ.[tex]\frac{160}{A}[/tex]

ρ = [tex]\frac{16.2\times A}{160}[/tex]

Similarly, if length of the same wire = 8 ft

From the given formula,

R = ρ.[tex]\frac{8}{A}[/tex]

R = [tex]\frac{16.2\times A}{160}\times \frac{8}{A}[/tex]

  = 0.81 Ω

Therefore, resistance of 8 feet wire will be 0.82 Ω.

Step-by-step explanation:

[tex] {x}^{2} + 2x - 15 \\ = (x - 3)(x + 5)[/tex]

then:

[tex]4 {x}^{2} - 36 \\ = 4( {x}^{2} - 9) \\ = 4(x - 3)(x + 3)[/tex]

then pack them up!

[tex]4(x - 3)(x + 3)(x + 5)[/tex]

tho there is a problem in your question.

lcm means the least common multiple.

answers in options are just multiples.

though considering that you shall choose:

[tex]4(x + 5) {(x - 3)}^{2} (x + 3)[/tex]

Answer:

Independent variable = t

Dependent variable = N

Step-by-step explanation:

Given that the function N(t)=100+15t represents the relation between the number of unread emails, N, and the time, t, measured in days

The independent variable is an input which can be controlled. In the function

N(t)=100+15t

The independent variable is t

While the dependent variable is the output of a function when independent variable has been substituted.

In the function N(t)=100+15t

The number of unread messages depends on the number of time t measured in days as the number of unread messages N is a function of t.

Therefore, the independent variable is N.

Answer:

72

Step-by-step explanation:

Step 1: Figure out percentages of what he owns

360(0.4) = 144 models he made

360 - 144 = 216 models he bought.=

Step 2: Figure out percentages of what he donated

144(0.25) = 36 models he donated (he made)

216(0.5) = 108 models he donated (he bought)

Step 3: Find the difference

108 - 36 = 72

And we have our answer!

Answer:

About 2.7 feet

Step-by-step explanation:

The tangent of an angle is equivalent to the length of the opposite side divided by the length of the adjacent side:

[tex]\tan 44=\dfrac{x}{2.8}\\\\x=2.8 \cdot \tan 44\approx 2.7[/tex]

Hope this helps!

Answer:

x = 2.7 feet

Step-by-step explanation:

Use tan to find the value of x

tan 44 = [tex]\frac{x}{2.8}[/tex]      Simplify

0.9657 = [tex]\frac{x}{2.8}[/tex]    Multiply both sides by 2.8

x = 2.70396    Round this answer to the nearest tenth of a foot

x = 2.7 feet

Answer:

Step-by-step explanation:

Common ratio = 2nd term/1st term = 4/-16 = -1/4

[tex]a_{n}=a_{n-1}*r\\a_{n}=a_{n-1}*\frac{-1}{4}\\\\a_{n}=\frac{-1}{4}a_{n-1}[/tex]

Answer:

Common ratio = 2nd term/1st term = 4/-16 = -1/4

Step-by-step explanation:

Answer:

b)x=70

Step-by-step explanation:

x=70 (the reason is that the angles are base angles of isoscelles triangle)

Yes they are independent because P(California) = 0.55 approximately and P(California | Brand B) = 0.55 approximately as well

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

Explanation:

P(California) is notation that means "probability the person is from California". There are 150 people from California out of 275 total. Therefore, the probability is 150/275 = 0.5454 approximately which rounds to 0.55

Now if I told you "this person prefers brand B", then you would focus your attention solely on the brand B column. The other columns are ignored because you know they don't prefer anything else. With this narrower view, we see that 54 Californians prefer this brand out of 99 total. The probability becomes 54/99 = 0.5454 which rounds to 0.55. We get the same as before.

The notation P(California | Brand B) means "the probability they are from California given they prefer brand B". The vertical line is not the uppercase letter i or lowercase letter L. It is simply a vertical line. In probability notation that vertical line means "given".

We've shown that P(California | Brand B) = 0.55 approximately. The fact that they prefer brand B does not change the original probability. So the two events are independent. If liking brand B did change the probability, then the events would be dependent.

Answer:

5

Step-by-step explanation:

March,May,June,July,August

Answer:

AD || BC

Step-by-step explanation:

Option B : ∠A+∠D = 180°

Given below diagram is of a parallelogram.

A parallelogram is defined as a closed geometric figure that has got 4 straight sides and  opposite sides are parallel to each other.

One of the properties of a parallelogram is that its adjacent angles are supplementary.

Adjacent angles means angles which are either on the just left side or just right side.,

Supplementary angles are those which if added gives 180° as value.

Option A and D are not correct here.

Option C is wrong as adjacent sides of a parallelogram are never parallel.

Taking the angles ∠A and ∠D, we see they're adjacent. And since ABCD is a parallelogram, thus by its property, we've got ∠A+∠D = 180°.

Thus option B: ∠A+∠D = 180° is correct.

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Answer:

The function f(x) was translated right 3 units and up  2 units

Step-by-step explanation:

k = 2, which is denoted as vertical movement

b = -3, which is denoted to horizontal movement

Answer:

D;The function f(x) was translated right 3 units and up  2 units

Step-by-step explanation:

Answer:

1.08

Step-by-step explanation:

1.01 < x < 1.17

x ≠ 1.20

x ≠ 1.008

x = 1.08

x ≠ 1.18

x ≠ 1.8

The number that completes the inequality is 1.08:

1.01 < 1.08 < 1.17, < 1.20

Option C is the correct answer.

We have,

To determine which number completes the inequality, we need to find the number that is greater than 1.01 but less than both 1.17 and 1.20.

Among the given options, the number that satisfies this condition is 1.08.

Thus,

The number that completes the inequality is 1.08:

1.01 < 1.08 < 1.17, < 1.20

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Answer:

14

Step-by-step explanation:

From the equation, we see that 1 mol of methane produces 2 moles of water. To find the amount of water produced if 7.0 moles of methane react, we use the following proportion:

1 mol of methane / 7 moles of methane   = 2 moles of water / x moles of water

x = 7*2 = 14 moles of water

Answer:

Show one example of his claim, adding two odd numbers to form an even number

Answer:

C.

Step-by-step explanation:

You cannot prove his conjecture by an example. You must create two generic odd numbers using algebraic expressions. Then you add the two expressions and show that the sum is even.

Answer: C.

Answer:

5/6 and 6/7

Step-by-step explanation:

In the top of the fraction its going up by one each time (1,2,3,4 so the 5 and 6 would be the top half of the fraction), and in the bottom half its also going up by one but it started at 2 so its one more than the top half  (2,3,4,5, so the 6 and 7 would be the bottom half of the fraction)

Answer:

=

[tex] \frac{5}{6} ,\frac{6}{7} [/tex]

solution,

here,

Top numbers are increasing by 1

Bottom numbers are also increasing by 1.

[tex] \frac{1}{2} , \frac{2}{3} ,\frac{3}{4} , \frac{4}{5} , \frac{4 + 1 }{5 + 1} = \frac{5}{6} , \frac{5 + 1}{6 + 1} = \frac{6}{7} [/tex]

hope this helps...

Good luck on your assignment...

Answer:

​

h(1)=−31

h(n)=h(n−1)+(−7)

​

Step-by-step explanation:

I got it wrong- and then i found the answer :)

The recursive function is h(n) = h(n−1 ) + (−7) where h(1) = −31.

A rule defined such that its definition includes itself.

Example:

F(x) = F(x-1) + c is one such recursive rule.

Given;

h(1) = −31

This means that the function h(n) has the following parameters:

First term = −31

Rate = -7

Hence, the recursive function is h(n) = h(n−1 ) + (−7) where h(1) = −31.

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Answer:

x = 2

Step-by-step explanation:

I believe the equation you are trying to write is log of 16 with base of 4x-6 is equal to 4, and if that is the case then your answer is 4.

Answer:

(-x-7)(x+8)

Step-by-step explanation:

-x²-8x-7x-56

-x(x+8)-7(x+8)

(-x-7)(x+8)

Answer:

it is -1(x+8)(x+7)

Answer:

[tex]19( 42+ 58)[/tex]

Step-by-step explanation:

[tex]19 \cdot 42+19 \cdot 58\\[/tex]

The common factor is 19

[tex]19( 42+ 58)[/tex]

Answer:

A

Step-by-step explanation:

dont know how explain.

Answer:

Step-by-step explanation:ghjhh

Answer:

[tex]Dina= 35[/tex]

Step-by-step explanation:

Given

[tex]Ratio = 4:2:5[/tex]

Peter = 14 more A's than Chris

Required

How many A’s did Dina get?

The order of the ratio is Peter: Chris: Dina

This implies that

[tex]Peter: Chris: Dina = 4:2:5[/tex]

Considering Peter and Chris

[tex]Peter: Chris = 4:2[/tex]

Let the number of Chris' A's be represented by A

This implies that:

Peter's = 14 + A

And as such;

[tex]14 + A : A = 4 : 2[/tex]

Convert ratio to division

[tex]\frac{14 + A}{ A} = \frac{4}{ 2}[/tex]

Multiply both sides by A

[tex]A * \frac{14 + A}{ A} = \frac{4}{ 2}* A[/tex]

[tex]14 + A = \frac{4}{ 2}* A[/tex]

[tex]14 + A = 2* A[/tex]

[tex]14 + A = 2 A[/tex]

Subtract A from both sides

[tex]14 + A-A = 2 A-A[/tex]

[tex]14 = A[/tex]

This means that;

Chris answered 14 while Pete answered 28 (14 + 14)

Considering Chris and Dana

[tex]Chris :Dana = 2:5[/tex]

Replace Chris with 14

[tex]14:Dana = 2:5[/tex]

Convert ratio to division

[tex]\frac{14}{ Dina} = \frac{2}{5}[/tex]

Cross Multiplication

[tex]Dina * 2 = 14 * 5[/tex]

Divide both sides by 2

[tex]\frac{Dina * 2}{2} = \frac{14 * 5}{2}[/tex]

[tex]Dina= \frac{14 * 5}{2}[/tex]

[tex]Dina= \frac{70}{2}[/tex]

[tex]Dina= 35[/tex]

Hence, Dina had 35 A's

Answer:

Option B

Step-by-step explanation:

I can't do the 'figure question' because it lacks info, but I can answer the point-slope question.

Point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]

'm' - slope

'(x1, y1)' - point

We are given the slope of 3 and the point (-1, 5).

Replace 'x1', 'y1', and 'm' with the appropriate values.

[tex]y-y_1=m(x-x_1)\rightarrow \boxed{y-5=3(x+1)}[/tex]

Option B should be the correct answer.