Hey guys please try this is kinda urgent. what is the value of x in the geometric progression. 16/9 , x, 1, y.​

Answers

Answer 1
Answer: Either 4/3 or -4/3

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

Explanation:

Let r be the common ratio. Also, we'll make r nonzero, i.e. [tex]r \ne 0[/tex]

Multiplying this common ratio by any term gets us the next term of the geometric sequence.

16/9 is the first term, so that makes (16/9)*r the second term

Since (16/9)r is the second term, the third term is (16/9)r*r = (16/9)r^2

Set this equal to 1 and solve for r.

(16/9)r^2 = 1

r^2 = 1*(9/16)

r^2 = 9/16

r = sqrt(9/16) or r = -sqrt(9/16)

r = 3/4 or r = -3/4

Now that we know what r is, we can determine the second term

If r = 3/4, then,

(16/9)*r = (16/9)*(3/4) = 4/3

Or if r = -3/4, then,

(16/9)*r = (16/9)*(-3/4) = -4/3

So the second term is either 4/3 or -4/3 depending on which r value you go for.


Related Questions

square of 5x+1 by 5x​

Answers

Answer:

5x​(5x+1)^2

= 5x(25x^2+10x+1)

= 125x^3+50x^2+5x

Identify the equation of the circle that has its center at (7, -24) and passes
through the origin
A. (x - 7)^2 + (y + 24)^2 = 625
B. (x + 7)^2 + (y - 24)^2 = 25
c. (x - 7)^2 + (y + 24)^2 = 25
D. (x + 7)^2 + (y - 24)^2 = 625

Answers

Answer:

x = 7 e y = -24

Step-by-step explanation:

The equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.

What is an equation of a circle?

A circle can be characterized by its centre's location and its radius's length.

Let the centre of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x-h)²+(y-k)²=r²

The equation of a circle is given as (x-h)²+(y-k)²=r², where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle.

Since the given circle is needed to pass through the origin and the coordinates of the centre of the circle are (7, -24). Therefore, the distance between the origin and (7, -24) will the radius of the circle.

Therefore, the radius of the circle will be,

Radius = √[(7-0)² + (-24 - 0)²]

           = √(49 + 576)

           = √(625)

           = 25

Now, the equation of the circle that is centred at (7, -24) and has a radius of 25 units is,

(x - h)² + (y - k)² = r²

[x - 7]² + [y - (-24)]² = (25)²

(x - 7)² + (y + 24)² = 625

Hence, the equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.

Learn more about the Equation of a circle here:

https://brainly.com/question/10165274

#SPJ5

The inequalities x < -5 and -X > -5 are the same.
True
False

Answers

QUESTION-:

The inequalities x < -5 and -X > -5 are the same.

True

False

ANSWER-:

FALSE

!! HOPE ITS HELP U !!

[tex]\frac{1}{4}X - 1 = 13[/tex]

Answers

Answer:

x =56

Step-by-step explanation:

1/4 x - 1 =13

Add 1 to each side

1/4x - 1+1 = 13+1

1/4 x = 14

Multiply each side by 4

1/4x * 4 = 14*4

x =56

Answer:

x = 56

Step-by-step explanation:

1/4x - 1 = 13

Add 1 to both sides

1/4x = 14

Isolate the variable

x = 14/0.25

x = 56

A rectangle has a perimeter of 150 feet and a base of 45 feet. What is the height?
PLZ help i will give brainly to whoever wants it.

Answers

Answer:

30

Step-by-step explanation:

45+45 = 90

150-90 = 60

60/2 = 30

I think...

Simplify the expression.
7(5 +t) - 4(t + 4)
7(5 + t) - 4(t + 4) = [

Answers

7(5 + t) - 4(t + 4) =

= 35 + 7t - 4t - 16 =

= 7t - 4t + 35 - 16 = 3t + 19

what is the value of x in a decagon

Answers

Answer:

x = 54

y = 144

Step-by-step explanation:

y = (10-2)×180/10 = 144

x = 180-90-(180-144) = 54

Answered by GAUTHMATH

please help (picture) 25 points

Answers

Answer:

1) perimeter = sum of all the sides = 3y+9+2y+4+y+3+2y+4 = 8y+20

2) P = 4(5x-2) = 20x-8

This is my question. These are the options below, does anyone know the simplest form?

Answers

Answer:

B. [tex]2ab^5\sqrt{2ab}[/tex]

Step-by-step explanation:

To simplify, first, simplify the integers. The integers include the number 8. To simplify 8, find out what is the largest perfect square that is a factor of 8. In this case, that is 4. Then, divide 8 by that number. This equals [tex]\sqrt{4} *\sqrt{2}[/tex]. Since the square root of 4 is 2, it can be taken out of under the radical. So, the new expression is [tex]2\sqrt{2a^3b^11}[/tex].

Next, simplify the exponents. To simplify exponents under a radical divide the exponent by the root. For example, 3 divided by 2 is 1 with a remainder of 1. So, take the answer out from under the radical and then leave the remainder in the radical. This looks like[tex]\sqrt{a^3} = a\sqrt{a}[/tex]. Then, do this for the other variable, [tex]\sqrt{b^11} = b^5\sqrt{b}[/tex]. Finally, put everything for the final answer, [tex]2ab^5\sqrt{2ab}[/tex].

please
[tex] \sin(120) \\ \tan( \frac{3\pi}{4} ) [/tex]
help me I need help​

Answers

Answer:

[tex] \sin(120) \\ = \sin(90 + 30) \\ = \cos(30) \\ = \frac{ \sqrt{3} }{2} \\ \\ \tan( \frac{3\pi}{4} ) \\ = \tan(135) \\ = \tan(90 + 45) \\ = - \cot(45) \\ = - 1[/tex]

[tex]\\ \rm\longmapsto sin120[/tex]

[tex]\\ \rm\longmapsto sin(90+30)[/tex]

[tex]\\ \rm\longmapsto cos30[/tex]

[tex]\\ \rm\longmapsto \dfrac{\sqrt{3}}{2}[/tex]

Now

[tex]\\ \rm\longmapsto tan\left(\dfrac{2\pi}{4}\right)[/tex]

[tex]\\ \rm\longmapsto tan135[/tex]

[tex]\\ \rm\longmapsto -1[/tex]

please help me its hard

Answers

Answer:

1

Step-by-step explanation:

16-9=5t+2t

7=7t

1=t

Answer:

t = 1

Step-by-step explanation:

16 - 2t = 5t + 9

=> 16 - 2t - 9 = 5t

=> 16 - 9 = 5t + 2t

=> 7 = 7t

=> 7/7 = t

=> 1/1 = t

=> 1 = t

A circle has a circumference of 1{,}133.541,133.541, comma, 133, point, 54 units.
What is the diameter of the circle?

Answers

Answer:  Radius is 21.2537 units, to 6 sig figs

Step-by-step explanation:  

I'll assume the circumference is simply 133.541 units^2.  Circumference (C) is C = 2*pi*R, where R is the radius.  Thus, R = C/(2*pi),

 R = (133.541/2*(3.14159) to 6 sig figs

 R = 21.2537 units

What am i supposed to type here tho, just look at the photo pls

Answers

slope is just "how much up or down" for one step to the right.

its clearly negative here

only -3 seems to be remotely plausible looking at the graph in your screenshot

Answer:

The slope is [tex]-3[/tex]

Step-by-step explanation:

The slope of a line, [tex]m[/tex], that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

To find the slope of a line, choose two points that it clearly passes through.

In the given graph, the line clearly passes through points (2, 2) and (0, 8).

Let:

[tex](x_1, y_1)\implies (2, 2)\\(x_2, y_2)\implies (0, 8)[/tex]

Substitute into the slope formula:

[tex]m=\frac{8-2}{0-2}=\frac{6}{-2}=\boxed{-3}[/tex]

Therefore, the slope of the line is -3.

I’ve been stuck on this for 3 days today is the last day please help me guys

Answers

y = x^2 - 2x - 3

Factored Form: y = (x - 3)(x + 1)

X-Intercepts: (3, 0) and (-1, 0)

Axis of Symmetry: x = 1

Vertex: (1, -4)

Domain: All Real Numbers (or negative infinity to infinity)

Range: y > -4

Hope this helps!

$60 is shared between Ali, Ben and Carol in the ratio of 5 :3 : Z How much does Ben get?

Answers

Answer:

the answer is 100:60:40 hope it helps

Round each to the nearest cent.
$879.190
and
$532.626

Answers

Answer:

$879.190 = $879.19

$532.626 = $532.627

Step-by-step explanation:

You round up for the tenths place if the hundredths place is above five, but you round down for the tenths place if the hundredths place is below five. For example, 0 is below five for $879.190, so I round to 9.

Explain how to combine the terms 5x an 3x

Answers

Answer:

below

Step-by-step explanation:

In short, we will add both coefficients together to combine like terms.

3x + 5x → x(3 + 5) → 8x

If you have a value like 2x and 2, you cannot combine them because they do not have the same variable.

Best of Luck!

You add 5x+3x and get 8x

what is 5cd when c = 3 and d = 4​

Answers

5cd c=3 d=4. 5(3)(4)= 60

[tex] \sf \: c = 3 \\ \sf \: d = 4 \\ \\ \sf \: 5cd \: = \: ?\\ \\ \sf \:5 cd \hookrightarrow \\ \sf = 5 \times (3) \times (4) \\ \sf = 5 \times 12 \\ = \underline{ \bf \: 60}[/tex]

-> Just substitute the values given for variables c & d in the equation 5cd & you'll get the answer.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!!

Answers

Answer:

so the simplest way to find the volume of water is by dividing into different....objects

so when dividing you create a rectangular box that has length of 12 width of 14.5 and height of 5 and another rectangular box with length of 7 (19-12) width of 4 and height of 5

now calculate the volume of each box and add them up

v = length x width x height

box 1 = 12 x 14.5 x 5 = 870 ft^3

box 2 = 7x4x5 = 140

now smash them up together = 870+140=1010ft^3

hope that answers your question

X
( = [?]
DK
x Х
А AK
140°
B
HC
Angles are not drawn to scale

Answers

Answer:

40 degrees

Step-by-step explanation:

Supplementary angles are a pair of angles that add up to 180 degrees

Since ABD and DBC are supplementary, you can make the equation:

180=140+x

Simplify and you get x=40

When the sum of the measures of two angles is 180°, such angles are called supplementary angles.

[tex]\bf \large \implies \: \: x \: + \: 140 \degree \: = \: 180 \degree[/tex]

[tex]\bf \large \implies \: \: x \: = \: 180 \degree - \: 140 \degree[/tex]

[tex]\bf \large \implies \: \: x \: = \: 40 \degree[/tex]

I need help I don't understand this.

Answers

9514 1404 393

Answer:

  ∠4 = 108°

Step-by-step explanation:

Angles 2 and 4 together form a "linear pair". That is, the sum of them is 180°, a "straight angle." They are supplementary.

  ∠4 = 180° -∠2 = 180° -72°

  ∠4 = 108°

The volume of a rectangular prism with a cone shaped hole in it is approximately 163.22cm³ (as shown below).
✏️ What is the height of the cone?

Answers

Answer:

Height of the cone = 5 cm

Step-by-step explanation:

Volume of the rectangular prism with a cone shaped hole = Volume of the rectangular prism - Volume of the cone

Volume of the rectangular prism = Length × Width × Height

                                                       = 5 × 5 × 7

                                                       = 175 cm³

Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here, r = Radius of the cone

h = Height of the cone

Volume of the cone = [tex]\frac{1}{3}\pi (\frac{3}{2})^{2}(h)[/tex]

                                 = 0.75πh cm³

Volume of the rectangular prism with a hole = 163.22 cm³

175 - 0.75πh = 163.22

0.75πh = 175 - 163.22

0.75πh = 11.78

h = 5 cm

30 points PLEASE HELP!!!!
Find the volume of the pyramid.
76.34 ft3
458.06 ft3
916.11 ft3
305.37 ft3

Answers

Answer:

916.11 ft³

Step-by-step explanation:

(9×6)×7.83/2×13/3

= 211.41×13/3

= 916.11 ft³

Answered by GAUTHMATH

Answer:

916.11 ft³

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

I believe its negative nonlinear association

Step-by-step explanation:

The line is going down so its definitely negative

And the line is not straight so its not linear

Therefore, its negative nonlinear association

40) what is the area of a rectangular porch measuring 8 ft x 12/f

45) Create a stem and leaf plot to represent this set of data.
30, 62, 32, 63, 43, 77, 48, 78, 49, 82, 51, 84, 60,


please make sure to answer both questions ​

Answers

40. 8 times 12. = 96 ft

The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150. Which shows the conditional relative frequency table by column? A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The f

Answers

Answer:

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {0.24} & {0.28} & {0.27} & {Not\ Employed} & {0.76} & {0.72} & {0.73}& {Total} & {1} & {1} & {1} \ \end{array}[/tex]

Step-by-step explanation:

The question is not properly formatted (see attachment for the frequency table and the options)

Required

The conditional relative frequency table by column

We have:

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {12} & {28} & {40} & {Not\ Employed} & {38} & {72} & {110}& {Total} & {50} & {100} & {150} \ \end{array}[/tex]

To get the conditional frequency by column, we simply divide each cell by the corresponding total value (on the last row)

So, we have:

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {12/50} & {28/100} & {40/150} & {Not\ Employed} & {38/50} & {72/100} & {110/150}& {Total} & {50/50} & {100/100} & {150/150} \ \end{array}[/tex]

[tex]\begin{array}{cccc}{} & {Looking\ for\ job} & {Not\ looking} & {Total} & {Employed} & {0.24} & {0.28} & {0.27} & {Not\ Employed} & {0.76} & {0.72} & {0.73}& {Total} & {1} & {1} & {1} \ \end{array}[/tex]

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Which ratio is not equivalent to the others?
A. 1:3
B. 36
C. 7 to 14
D. 816

Answers

Answer:

a. 1:3

Step-by-step explanation:

theres a pattern of x^2 but 1:3 is 1x3

Find the surface area of the
rectangular prism.
2 cm
6 cm
3 cm
[?] sq cm
Enter

Answers

Answer:

72 sq cm

Step-by-step explanation:

Surface area of the cuboid is 2*(lb+bh+lh)=2*(12+18+6)=2*36=72

Answer:

36 sq cm

Step-by-step explanation:

This prism is formed by rectangles, and to find the area of a rectangle you have to multiply its sides. So, to find the surface area, you find the area of each rectangle and after add it all:

3×2 = 6 sq cm, and your have two of this rectangles

6×2 = 12 sq cm, and you also have two of this

3×6 = 18 sq cm, and also have two of this

6 + 12 + 18 = 36 sq cm

What is the solution of x + 1/5 (x - 1) = 1?

Answers

Answer:

1

Step-by-step explanation:

x-1+ 1 /5*( x-1)=0

(x-1)*6/5=0

x=1

3000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 20000 dollars is invested in a bank account at an interest rate of 5 percent compounded annually.

To the nearest year, when will the two accounts have the same balance?

Answers

9514 1404 393

Answer:

  after 89 years

Step-by-step explanation:

For principal p, interest rate r, and number of years t, the two account balances are ...

  a = p·e^(rt) . . . . continuous compounding

  a = p(1+r)^t . . . . annual compounding

Using the given values, we have

  3000·e^(0.07t) . . . . . compounded continuously

  20000·1.05^t . . . . . . compounded annually

We want to find t so these are equal.

  3000·e^(0.07t) = 20000·1.05^t

  0.15e^(0.07t) = 1.05^t . . . . divide by 20,000

  ln(0.15) +0.07t = t·ln(1.05) . . . . take natural logarithms

  ln(0.15) = t·(ln(1.05) -0.07) . . . . subtract 0.07t

  t = ln(0.15)/(ln(1.05) -0.07) ≈ -1.8971/-0.02121 . . . . . divide by the coefficient of t

  t ≈ 89.4 ≈ 89

The two accounts will have the same balance after 89 years.

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