what 1/4 in index form?

Answer: Slope = 7/6

Step-by-step explanation:

The sum to infinity of the sequence is 96/13

Given the nth term of a geometric sequence expressed as:

Tn = Σ12(-5/8)^n

The sum to infinity of the sequence is expressed as;

S∞ = a/1-r

where

a is the first term = 12

r is the common ratio = -5/8

Substitute

S∞ =  12/1-(-5/8)

S∞ = 12/1+5/8

S∞ = 12/(13/8)

S∞ =12 *8/13

S∞ = 96/13

Hence the sum to infinity of the sequence is 96/13

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Value of g (x) is -2, when :

[tex]\qquad \sf  \dashrightarrow \: - 2.5 < x \leqslant - 1.5[/tex]

And since -2 lies in this range of x,

[tex]\qquad \sf  \dashrightarrow \:g( - 2) = - 2[/tex]

Value of x is -1, when :

[tex]\qquad \sf  \dashrightarrow \: - 1.5 < x \leqslant - 0.5[/tex]

And -0.5 falls in this range, hence

[tex]\qquad \sf  \dashrightarrow \:g( - 0.5 ) = - 1[/tex]

Next, The value of x is 0 when :

[tex]\qquad \sf  \dashrightarrow \: - 0.5 < x < 0.5 [/tex]

But, it isnt equal to 0.5, since there is open interval at both extremes.

Next, Value of x is 1, when :

[tex]\qquad \sf  \dashrightarrow \:0.5 \leqslant x < 1.5[/tex]

And since it also has the value 0.5 included in it,

[tex]\qquad \sf  \dashrightarrow \:g(0.5) = 1[/tex]

Answer:

D. ∠1 and ∠3

Hope this helps!

Answer:

1 and 3 or also known as D

Step-by-step explanation:

i took the test and got it right

Answer:

the answer is B

Step-by-step explanation:

x = y - 9

y - 4 = 10

x = ?

y = 10 + 4

° y = 14

x = y - 9

= 14 - 9

✔️ x = +5

ANSWERS

y-4=10

y=10+4

y=14

sub y equ 1

x=14-9

x=+5

Answer:

8 gallons left.......

Step-by-step explanation:

10 - 2 = 8

Step-by-step explanation:

|2|=2

Hope this helps !!!!

Answer:

The absolute value is 2

Step-by-step explanation:

The absolute value is defined by how far a value is from zero and it is represented by a / /

/2/ = 2

Answer:

E

Step-by-step explanation:

2018 :   75 000 pines

2019 :     2000 pines / km^2  *  30 km^2 = 60 000 pines

(75 000 - 60 000) / 75 000 = .2        or 20 %  

Answer:

x=142°

Step-by-step explanation:

hope it helps ⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄

The population variance ad standard deviation are 64 and 8 respectively.

The variance for a population is calculated by the below steps :

1) First find the mean (the average).

2) Subtracting the mean from each number in the data set and then    squaring the result. The results are squared to make the negatives value positive

3) Averaging the squared differences.

Here, the data set of population is given as :

population difference difference²

6                  -12                   144

12                 -6                     36

20                 2                       4

24                 6                     36

28                 10                  100

₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋

∑ 90                                  ∑ 320

Now, the average population will be :

∑ 90/5 = 18

Now finding the variance σ² using the formula :

σ² = ∑(x- x')²/N

σ² = 320/5

σ² = 64

Now, the standard deviation σ will be :

standard deviation = √σ²

standard deviation = √64

standard deviation = 8

Therefore, the population variance ad standard deviation are 64 and 8 respectively.

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p = (n - 30)/ 6 as a function of n.

Here we need to find the value of p in terms of n.

From the question, we have two equation

The first equation is:

   m = 1/6n .......(1)

The second equation is:

    p = m - 5.......(2)

From equations 1 and 2 we have to find the value of p in term of n.

So by putting the value of m in the second equation we have:

p = 1/6n - 5

  = (n - 30)/6

Therefore we get the value of p as (n -30)/6 in terms of n.

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Answer:

Step-by-step explanation:

annie runs in park = every 3 days

ron runs in park = every 5 days

lets find LCM of 3 and 5 = 3*5 = 15

if they ran on 1st of January then they will meet again on on 15th January , will again meet on 30th of January and will again meet on 14 February . if is was a leap year they would again meet at 29th February .

1) When k = 1.5 and x = 50, the value of y is; y = 75

2) When k = 14 and y = 334, the value of x is; x = 23.84

3) When k = 12 and x = 245, the value of y is; y = 2940

4) When k = 16 and y = 38, the value of x is; x = 2.375

We are given the equation for the constant of proportionality, as y/x = k

1) When k = 1.5 and x = 50, we want to find the value of y = ?

y/50 = 1.5

y = 50 * 1.5

y = 75

2) k = 14 and y = 334, x = ?. We want to find the value of x. Thus;

334/x = 14

x = 334/14

x = 23.84

3) k = 12 and x = 245, y = ?

y/245 = 12

y = 245 * 12

y = 2940

4) k = 16 and y = 38; x = ?

38/x = 16

x = 38/16

x = 2.375

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Complete question is;

Solve for the unknown value using the equation for the constant of proportionality, y/x = k .Known Values​ Unknown Value​

k = 1.5 and x = 50

y = ?

k = 14 and y = 334, x = ?

k=12 and x=245, y = ?

k = 16 and y = 38; x = ?

Answer:

As the input gets smaller, the output gets smaller.

Step-by-step explanation:

Answer:

653209

Step-by-step explanation:

Because i did this already

adding a negative is the same as subtracting a positive

the expression -6+ (-2) is the same as -6-2 which is -8

The selling price if cost is $18.00 and the mark up is 70% is $30.60

What is mark  up?

The mark up means profit earned as percentage of the cost price, whereas margin means the profit is a  percentage of the selling price, in other words, the profit element to add to the cost price to derive the selling price in this case is 70% of the cost price of $18.00

profit(mark up)=70%*$18.00

profit(mark up)=$12.60

selling price=cost price+ profit(mark up)

selling price=$18.00+$12.60

selling price=$30.60

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The equation as r + 2 r = 30 miles / 2 hours and the speed of faster cyclist as 10 miles per hour.

We are given that:

The distance between the two cyclist = 30 miles.

Now let the speed of one cyclist be x miles / hour.

Speed of other cyclist = 2 x miles / hour.

Now, 2 hours later they meet.

Distance covered by 1st cyclist in 2 hours = 2 x

Distance covered by 2st cyclist in 2 hours = 4 x

Equation will be:

2 x + 4 x = 30 miles

6 x = 30 miles

x = 5 miles.

Equation for the cyclist in terms of r will be :

r + 2 r = 30 miles / 2 hours

Speed of faster cyclist = 10 miles per hour.

Therefore, we get the equation as r + 2 r = 30 miles / 2 hours and the speed of faster cyclist as 10 miles per hour.

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Using the it's formula, the total opportunity cost of three unit(s) of tanks is of 350 autos.

The opportunity cost formula is given by:

C = F - A.

In which:

For this problem, we have that:

Thus:

F = 1000 - 650 = 350.

The total opportunity cost of three unit(s) of tanks is of 350 autos.

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From the given examples 5z - 3x = -3x + 5z  and 5(xy) = 5(xy) are following the commutative property.

According to the given question.

We have some equations

2x + 3x = 5x

5xy = 5(xy)

5z - 3x = -3x + 5z

3(a + b) = 3a + 3b

Here, we have to find which equation is following the commutative property.

As we know that, the commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

For, example 4 + 5 gives 9, and 5 + 4 also gives 9.

From the given example the equation

5z - 3x = -3x + 5z is following the commutaive property of addition.

And, 5(xy) = 5(xy) is following the commutative property of multiplication.

Hence, from the given examples 5z - 3x = -3x + 5z  and 5(xy) = 5(xy) are following the commutative property.

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Answer:  [tex](5.6)^3[/tex]

This is the same as saying (5.6)^3

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

Explanation:

The base is 5.6 and it is multiplied a total of 3 times. We use an exponent of 3 to condense things down. So [tex]5.6 * 5.6 * 5.6 = (5.6)^3[/tex]

Another example: [tex]2^4 = 2*2*2*2 = \text{four copies of '2' multiplied}[/tex]

Answer:

Step-by-step explanation:

Compute the midpoint of the line segment with endpoints:

p_1 = (-4, 4) and p_2 = (5, -1)

The midpoint between (x_1, y_1) and (x_2, y_2) is their componentwise average:

((x_1 + x_2)/2, (y_1 + y_2)/2)

Substitute (x_1, y_1) = (-4, 4) and (x_2, y_2) = (5, -1):

= ((-4 + 5)/2, (4 - 1)/2)

-4 + 5 = 1:

= (1/2, (4 - 1)/2)

4 - 1 = 3:

Answer:  = (1/2, 3/2)

The correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39 . Option C

A function can be defined as an expression that shows the relationship between an independent variable and a dependent variable.

Given the function;

M(t) = 7t + 25

Where;

For M(2), we substitute the value of t as 2 in the function

M(2) = 7(2) + 25

M(2) = 14 + 25

M(2) = $39

This explains that the she mows the yard for t = 2 hours, she would earn $39

Thus, the correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39. Option C

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A point that is part of the intersection of planes ACD and MHG is: Point B.

A plane has at least three points that lie on it. When two planes intersect, they do so at some certain points. This means that two intersecting planes share some points in common alone the line of their intersection.

In the diagram given, plane ACD and plane MHG intersect along line BA. This means that both planes share points A and B in common.

Therefore, we can state that a point that is part of the intersection of planes ACD and MHG is: Point B.

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The threes solutions to the given equation sec²x - secx = 2 are:

To solve: sec²x - secx = 2 on interval [0,2[tex]\pi[/tex])

When we set t = sec x, we get the quadratic equation:

As a result, we must seek solutions to the equations:

[tex][1] \sec x=2: \quad \cos x=\frac{1}{2} \rightarrow x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ;$\\\text { [2] } \sec x=-1: \quad \cos x=-1 \rightarrow x_3=\pi ;[/tex]

Therefore, the three solutions are:

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The correct question is given below:
solve the equation sec²x - secx = 2 on interval [0,2[tex]\pi[/tex])

Answer:

it d

Step-by-step explanation:

Answer:

Choice a) 3700 €

Step-by-step explanation:

Total salary among 12 workers = Avg Salary x 12 = 3500 x 12 = 42,000 €

Total salary of 2 part-timers = part-time avg x 2 = 2500 x 2 = 5000

Total salary without part-timers salary= 42,000 - 5000 = 37,000 €

If we exclude the 2 part-timers, there are 10 full-timers who earn 37,000 €

So new Average Salary = 37000/10 = 3,700 €

answer: Choice a) 3700 €