the points (-5,4)and (1,r) lie on a line with slope -1. Find the missing coordinates r.

Answer:

[tex]\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}[/tex]

[tex]\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}[/tex]

[tex]81, \underline{27, 9, 3, 1},\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given the Geometric sequences:

1. ___, 24, ___, ___, 3/64

2. ___, 1/4, 1/2, ___

3. 81, ___, ___, ___, ___, 1/3

To find:

The values in the blanks of the given geometric sequences.

Solution:

First of all, let us learn about the [tex]n^{th}[/tex] term of a geometric sequence.

[tex]a_n=ar^{n-1}[/tex]

Where [tex]a[/tex] is the first term and

[tex]r[/tex] is the common ratio by which each term varies from the previous term.

Considering the first sequence, we are given the second and fifth terms of the sequences.

Applying the above formula:

[tex]ar = 24\\ar^4 = \dfrac{3}{64}[/tex]

Solving the above equation:

[tex]r = \dfrac{1}{8}[/tex]

Therefore, the sequence is:

[tex]\underline{192}, 24, \underline{3}, \underline{\dfrac{3}{8}}, \dfrac{3}{64}[/tex]

Considering the second given sequence:

[tex]ar = \dfrac{1}{4}\\ar^2 = \dfrac{1}{2}\\\text{Solving the above equations}, r = 2[/tex]

Therefore, the sequence is:

[tex]\underline{\dfrac{1}8}, \dfrac{1}{4}, \dfrac{1}{2}, \underline{1}[/tex]

Considering the third sequence:

[tex]a = 81\\ar^5=\dfrac{1}{3}\\\Rightarrow r = 3[/tex]

Therefore, the sequence is:

[tex]81, \underline{27, 9, 3, 1},\dfrac{1}{3}[/tex]

Answer:

in the explanation

Step-by-step explanation:

In the number line, the left most number would be -200 as it's the lowest, the middle would be -150, as this number is in between the other two, and the right most would be 75, as it's the greatest.

Hope this helps!

Answer:

50%

Step-by-step explanation:

first the numerator is decreased by 75% so its 0.25. the denominator is decreased by 50% so its 0.5. Then, we will divide 0.25 and 0.5 which equals 0.5. to find %, do 0.5*100 which equals 50%

The fraction will decrease by 0.5 or 50%

Let the original fraction be a/b. If the numerator is decreased by 75%  and the denominator is decreased by 50%, the resulting faction will be:

0.25a/0.50b

Taking the ratio of the quotient of the result will give:

0.25a/0.50b  

= 25/100a * 100/50 b

= 25a/50b

= 0.5a/b

Hence the fraction will decrease by 0.5 or 50%

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Answer:

it is closer to 0 :):):):):)

The given point 1/4  lie closer to 0& 1/2 than 1

A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.

Given here: Given the proper fraction as 1/4

To convert a fraction to a decimal, we'll just divide the numerator...by the denominator.

Thus 1/4=0.25

1/2=0.5

Now the difference between each of the given points is 1/2-1/4=0.25

And 1/4-0=0.25

Also 1-1/4=0.75

Thus the point 1/4 is equidistant from the points 0 and 1/2 but is 0.75 units away from 1

Hence, The given point 1/4  lie closer to 0& 1/2 than 1

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9514 1404 393

Answer:

  B

Step-by-step explanation:

At t=0, the value is ...

  C(0) = 50,000·(0.9^0) -2000 = 48,000

At t=20, the value is ...

  C(20) = 50,000(0.9^20) -2000 = 6079 -2000 = 4079

The only graph that matches these end points is B.

Answer:

The correct answer is Graph B depicted in the picture.

Step-by-step explanation:

I have taken the test on Plato and have answered correctly.

Answer:

A. 13 + t = 17

Step-by-step explanation:

The top rectangle shows 13 and t, the 13 and t rectangle is the same size as the 17 rectangle so 13 + t = 17. It's not multiplication as there's no multiple's of 13 or t on the diagram.

Answer:

x will have to be a negative number to be come positive 2 negatives = positive

Answer:

x=17

Step-by-step explanation:

we know the sum of angles in atriangle is 180°

x +17 + 4x -34 +6x +10 = 180

x+4x+6x +17 -34 +10 = 180

11x -7 =180

11x = 180 +7

x = 187/11 = 17

Answer:

150

Step-by-step explanation:

A=B*H/2

A=15*20/2

A=300/2

A=150

Ignore the hypotenuse btw

Answer:

C - 150 mm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define Variables

Base b = 15 mm

Height h = 20 mm

Step 2: Find Area A

Answer:

Yeah I think you're correct I got the same

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

I think A 15x -4

Step-by-step explanation:

a. 15x-4

a. 15x-4

*Answer**

To get the Greates Common Factor (GCF) of 1700 and 1938 we need to factor each value first and then we choose all the copies of factors and multiply them:

1700: 2 2 5 5 17

1938: 2 3 17 19

GCF: 2 17

The Greates Common Factor (GCF) is: 2 x 17 = 34

Answer:I think D I just got off of this sorry if I’m wrong

Step-by-step explanation:

Answer:

choose c beacuse it is closer to and is not false

Step-by-step explanation:

:D

Answer:

56 batches

Step-by-step explanation:

224/4 = 56

y = 6x - 4

Substitute the given x values to solve for y.

x = 1:

y = 6(1) - 4

y = 6 - 4

y = 2

1 = 2

x = 3:

y = 6(3) - 4

y = 18 - 4

y = 14

3 = 14

x = 10:

y = 6(10) - 4

y = 60 - 4

y = 56

10 = 56

x                y

1                 2

3               14

10             56

Answer:

37.5%

60%

75% and .75

Step-by-step explanation:

Answer:

A or B

Step-by-step explanation:

sry if im wrong-happy new year!

Answer:

B:rate

Step-by-step explanation:

the formula distance= rate × time

Answer:

B

Step-by-step explanation:

The formula for distance is rate × time.

Flow and work don't make sense. Also, work is force × distance.

However, you were given rate is equal to distance/time (r=d/t) and were asked to find what distance would be:

in that case, we'll isolate d onto one side

here's the equation

r=d/t

multiply by t on both sides

rt=d, or rate × time equals distance

either way it's B

Hope this helps!

Answer:

8 percent loss

Step-by-step explanation:

The percentage loss is -8%.

Given that,

Based on the above information, the percentage loss should be

[tex]= \frac{\$4.60-\$5}{\$5}[/tex]

= -8%

Therefore we can conclude that the percentage loss should be -8%.

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Answer:

-8 × 3 = - 3 × ( 8)

or -21 = -21

Answer:

-21

Step-by-step explanation:

Answer:

cosjk = √55 i/3

tanjk = 8/√55 i

Step-by-step explanation:

Given

sin jk = 8/3

According to SOH CAH TOA

Sin theta = opposite/hypotenuse = 8/3

Opposite = 8

hypotenuse = 3

Get the adjacent using the pythagoras theorem

hyp² = opp²+adj²

adj² = hyp² - opp²

adj² = 3² - 8²

adj² = 9-64

adj² = -55

adj = √-55

adj = √55 i (i = √-1)

Get cosjk

cosjk = adj/hyp

cosjk = √55 i/3

Get tanjk

tanjk = opp/adj

tanjk = 8/√55 i

Answer:

its B hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

To find

Solution

Correct option is C

Answer:

B

this is because the way the other 3 are set up it just makes it b

My bad, it is a 120 obtuse angle.

Use a protractor

Step-by-step explanation:

I had this question

Answer:

the third option

Step-by-step explanation:

Answer:

414,377,008

:p hope this helped

Answer:

Solve each of the following multiplication problems.

58 × 40 = 2320

412 × 328 = 135,136

1,679 × 45 = 75,555

4,926 × 184 = 906,384

100 × 78 = 7,800

99 × 88 = 8,712

236,407 × 1,294 = 305,910,658

10,000 × 641 = 6,410,000

46,001 × 9,008 =414,377,008

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

B

Step-by-step explanation:

On edge 2020

The graph of absolute value function f(x) and g(x) are:

On a coordinate plane, y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).

The correct answer is an option (B)

"A function of the form f(t) = |t| ."

"It is a set of points on the coordinate plane that follows given function."

For given question,

We have been given an absolute value function f(x) = |x|

and absolute value function g(x) = |-4(x - 7)|

The graph of f(x) = |x| is like a 'V', with its vertex at (0, 0).

Y = f (x) opens up and goes through (-4, 4), has a vertex at (0, 0), and goes through (4, 4)

Consider absolute value function, h(x) = |x - 7|

A function h(x) is the function f(x) is translated horizontally 7 units right.

The graph of h(x) = |x - 7| is like a 'V', with its vertex at (7, 0).

Now consider absolute value function g(x) = |-4(x - 7)|

A function g(x) is the function h(x) is compressed inside by factor 4.

So, the graph of y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4).

Therefore, the graph of absolute value function f(x) and g(x) are:

On a coordinate plane, y = g (x) opens up and goes through (6, 4), has a vertex at (7, 0) and goes through (8, 4). Y = f (x) opens up and goes through (negative 4, 4), has a vertex at (0, 0), and goes through (4, 4).

The correct answer is an option (B)

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