Find the 5th (not fourth) of given geometric sequence. 2000, 1000, 500,...

Answers

Answer 1

Answer:

125

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

1000/2000 = 1/2

We multiply each term by 1/2

2000, 1000, 500

To find the next term 500*1/2 = 500/2 = 250

To find the 5th term

250*1/2 = 125


Related Questions

There are four people in Haydens family. Each person always eats 3/4 of a cheese pizza. How many whole pizzas should they order?

Solve and Draw a picture to solve the problem.


Write and equation that matches this problem

Answers

The equation that matches the problem is: Total pizzas = 4 × (3/4). Hayden's family should order 3 whole pizzas.

To solve this problem, we need to find the total number of pizzas needed for Hayden's family. Since each person eats 3/4 of a pizza, we can multiply this fraction by the number of people in the family:

Total pizzas = 4 × (3/4) = 12/4 = 3

Therefore, Hayden's family should order 3 whole pizzas.

As for the picture, imagine a circle representing a whole pizza. Divide it into four equal parts to represent each person's portion (3/4). Repeat this division three times to represent the three pizzas needed.

for such more question on fraction

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which is a stretch of an exponential decay function algebra 1

Answers

Answer:

Assuming the base number is 1, if it becomes 5 then it is stretched. If the number become 1/5(less than 1) it is called compressed.

Step-by-step explanation:

A transect is an archaeological study area that is 1/5 mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance σ2 = 42.3. In a different section of Chaco Canyon, a random sample of 28 transects gave a sample variance s2 = 48.3 for the number of sites per transect.

Required:
Use a 5% level of significance to test the claim that the variance in the new section is greater than 42.3.

Answers

Answer:

There is significant evidence to conclude that carina e in New section is greater than 42.3

Step-by-step explanation:

Given :

Sample variance, s² = 48.3

Population variance, σ² = 42.3

Sample size, n = 28

α = 0.05

The hypothesis :

H0 : σ² = 42.3

H0 : σ² > 42.3

The test statistic, χ² : (n-1)*s²/σ²

χ² = [(28 - 1) * 48.3] / 42.3

χ² = (27 * 48.3) / 42.3

χ² = 1304.1 / 42.3

χ² = 30.829787

χ² = 30.830

The Critical value at α = 0.05 ; df = (28-1) = 27

Critical value(0.05, 27) = 27.587

Reject H0 if χ² statistic > Critical value

Since, 30.830 > 27.587 ; Reject H0 ; and conclude that variance in the new section is greater than 42.3

HELP ASAP!!!!!!
Thank you so much

Answers

x_1=-1x2=7y1=1y2=7m:n=3:5

We know

[tex]\boxed{\sf P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)}[/tex]

[tex]\\ \sf\longmapsto p(x,y)=\left(\dfrac{3(7)+5(-1)}{3+5},\dfrac{3(7)+5(1)}{3+5}\right)[/tex]

[tex]\\ \sf\longmapsto p(x,y)=\left(\dfrac{21-5}{8},\dfrac{21+5}{8}\right)[/tex]

[tex]\\ \sf\longmapsto p(x,y)=\left(\dfrac{16}{8},\dfrac{26}{8}\right)[/tex]

[tex]\\ \sf\longmapsto p(x,y)=\left(2,\dfrac{13}{4}\right)[/tex]

m:n=3:5

We know

[tex]\boxed{\sf M(x,y)=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)}[/tex]

[tex]\\ \sf\longmapsto M(x,y)=\left(\dfrac{3(7)+5(-1)}{3+5},\dfrac{3(7)+5(1)}{3+5}\right)[/tex]

[tex]\\ \sf\longmapsto M(x,y)=\left(\dfrac{21-5}{8},\dfrac{21+5}{8}\right)[/tex]

[tex]\\ \sf\longmapsto M(x,y)=\left(\dfrac{16}{8},\dfrac{26}{8}\right)[/tex]

[tex]\\ \sf\longmapsto M(x,y)=\left(2,\dfrac{13}{4}\right)[/tex]

What is a1
of the arithmetic sequence for which a3=126
and a64=3,725
a
64
=
3
,
725
?

Answers

In an arithmetic sequence, every pair of consecutive terms differs by a fixed number c, so that the n-th term [tex]a_n[/tex] is given recursively by

[tex]a_n=a_{n-1}+c[/tex]

Then for n ≥ 2, we have

[tex]a_2=a_1+c[/tex]

[tex]a_3=a_2+c = (a_1+c)+c = a_1 + 2c[/tex]

[tex]a_4=a_3+c = (a_1 + 2c) + c = a_1 + 3c[/tex]

and so on, up to

[tex]a_n=a_1+(n-1)c[/tex]

Given that [tex]a_3=126[/tex] and [tex]a_{64}=3725[/tex], we can solve for [tex]a_1[/tex]:

[tex]\begin{cases}a_1+2c=126\\a_1+63c=3725\end{cases}[/tex]

[tex]\implies(a_1+63c)-(a_1+2c)=3725-126[/tex]

[tex]\implies 61c = 3599[/tex]

[tex]\implies c=59[/tex]

[tex]\implies a_1+2\times59=126[/tex]

[tex]\implies a_1+118 = 126[/tex]

[tex]\implies \boxed{a_1=8}[/tex]

Help I don’t get this

Answers

Answer:

Step-by-step explanation:

5t² + 4t = 5t² + 4 if and only if t=1.

A zero coefficient makes the value of the term equal to zero.

Answer: 5t to the second power and 5t to the second power. I don't know the answer to b.

Step-by-step explanation:

Find COS Instructions: Find the value of the trigonometric ratio. Make sure to simplify the If needed

Answers

Soh Cah Toa

Sin= opposite/ hypotenuse
Cos= adjacent/ hypotenuse
Toa= opposite/ adjacent

Tan(C)= 20/21

А _______ equation can be written in the form ax2 + bx+c=0 where a, b, and c are real numbers, and a is a nonzero number.

Fill in the blank.

A) quadratic
B) quartic
C) linear
D) cubic

Wrong answers WILL be reported. Thanks!

Answers

Answer:

A) quadratic

Step-by-step explanation:

ax2 + bx+c=0

Since the highest power of the equation is 2

A) quadratic -2

B) quartic- 4

C) linear- 1

D) cubic-3

A) quadratic because the highest power of the equation is 2

The sum of two binomials is 12x2 − 5x. If one of the binomials is x2 − 2x, the other binomial is:

1. 11x2 − 7x.
2. 12x2 − 3x.
3. 11x2 − 3x.
4. None of these choices are correct.

Answers

Answer:

C. 11x² - 3x

Step-by-step explanation:

(12x² - 5x) - (x² - 2x)

12x² - 5x - x² + 2x

12x - x² - 5x + 2x

11x² - 3x

What is the numerical coefficient of the first term

Answers

Answer:

the number before the first variable (first term)

Step-by-step explanation:

this appears to be an incomplete question. The numerical coefficient of a term is the number before the variable.

the constant is the number without a variable.

The constant number without the verbal?

Rocco has a garden and an oak tree. The oak tree is 15 times as old as the garden. The sum of their ages is 128 years. How old is each the garden and tree?

Answers

9514 1404 393

Answer:

garden: 8 yearstree: 120 years

Step-by-step explanation:

Let g represent the age of the garden. Then the age of the tree is 15g. The sum of their ages is ...

  g +15g = 128

  16g = 128 . . . . . collect terms

  g = 128/16 = 8 . . . . divide by the coefficient of g

The garden is 8 years old; the tree is 120 years old.

https://www.drfrostmaths.com/util-generatekeyskillpic.php?name=AnglePoint4&width=400&params=%5B61%2C0%2C%22y%22%2C4%5D

Answers

Answer:

Complementary angle

<y+61° =90°

<y = 90°- 61°

<y =29°

I Hope this helps.

Find the volume of a cone whose height is 12 and whose radius is 4. Use 3.14 for Pi and round your final answer to one decimal place.

Answers

Answer:

201.088 cubic units

Step-by-step explanation:

Given data

height= 12 units

radius= 4 units

The expression for the volume of a cone is given as

Volume = 1/3*πr^2h

Substitute the given data to find the volume of the cone

Volunme= 1/3* 3.142* 4^2* 12

Volume = 1/3* 3.142* 16*12

Volume= 1/3* 603.264

Volume= 201.088 cubic units

Is the collection of nice nepali songs a set​

Answers

Yes, The collection of nice Nepali songs is a set​.

What is a set?

A set is a collection of items where there are operations such as:

Union of sets, the intersection of sets, and the complement of sets.

We have,

A set would have a finite or infinite number of elements, depending on the number of songs in the collection.

Nepali songs refer to a specific, well-defined collection of songs that satisfy certain criteria (such as being popular, culturally significant, or critically acclaimed).

so,

It can be considered a set.

Thus,

Yes, The collection of nice Nepali songs is a set​.

Learn more about sets here:

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The standard normal curve shown below is a probability density curve for a continuous random variable. This means that the area underneath the entire curve is 1. What is the area of the shaded region between the two z-scores indicated in the diagram?

A. 0.6375
B. 0.4263
C. 0.6825
D. 0.6872
E, 0.8937 ​

Answers

Answer:

D

Step-by-step explanation:

use the formula for this

The area of the shaded region between the two z-scores is 0.4263.

The z-scores in the diagram are -1.0 and 1.0. The z-score of -1.0 represents a point that is 1 standard deviation below the mean, and the z-score of 1.0 represents a point that is 1 standard deviation above the mean.

The shaded region represents the area under the standard normal curve between the two z-scores. This area is equal to the probability that a standard normal variable will take on a value between -1.0 and 1.0.

To find the area of the shaded region, we can use a z-table. A z-table is a table that shows the area under the standard normal curve for different z-scores.

Looking up the z-scores of -1.0 and 1.0 in the z-table, we find that the area between the two z-scores is 0.4263.

To learn more about probability density curve, here

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Solve for A if = 3.14 and r = 3. Α = πη2 Enter the number that belongs in the green box A = [?]​

Answers

Answer:

A = 28.26

Step-by-step explanation:

Area = 3.14r^2

Area = 3.14(3)^2

Area = 3.14(9)

Area = 28.26

Select the correct answer. Which graph represents this inequality? y ≥ 4x − 3

Answers

Step-by-step explanation:

You didn't put the graph, but you can compare between your graphs and the picture.

Brainliest please

The graph that represents this inequality y ≥ 4x − 3 is attached below.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

We are given that the inequality is;

y ≥ 4x − 3

The slope of the inequality is 4.

The equation of the red line is y = 4x − 3  

The shading is above the line and the line is solid, that means  y is greater than or equal 4x − 3

The graph of this inequality y ≥ 4x − 3 is attached below.

Learn more about inequalities here:

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Open the graphing tool one last time. Compare the graphs of y=log (x-k) and y=log x+k in relation to their domain, range, and asymptotes. Describe what you see.

Answers

Answer:

sorry I don't know the answer

Answer:

For the equation y=log(x-k), the domain depends on the value of K. Sliding K moves the left bound of the domain interval. The range and the right end behavior stay the same. For the equation y=log x+k, the domain is fixed, starting at an x-value of 0. The vertical asymptote is also fixed. The range of the equation depends on K.

Step-by-step explanation:

complete the table of values for y=x^2-2

Answers

Step-by-step explanation:

a)

For each value of x, we need to solve for y.

Our equation is x² -2. This means that we multiply x by itself ( x * x = x²), and then subtract that value by 2.

Here is a list of the unfilled answers:

x = -2:

-2²-2 = -2 * -2 -2 = 4-2 = 2. -2 * -2 = 4 because two negatives multiplied together makes a positive.

x=-1:

-1²-2 = 1 -2 = -1

x=1

1²-2 = 1-2= -1

x=3:

3²-2  = 9-2 = 7

b)

In this graph, the y represents the vertical part and x represents the horizontal. For each value of y, there is a horizontal line that can be drawn. For example, when y=0, the bolded horizontal line near the bottom of the graph represents that. We then need to find the points on the line representing x²-2 where it touches the horizontal line of y=0. This happens when x=-1.5 and x=1.5, as it is between the positive/negative 1 and 2 values of x

Can someone help me with this problem

Answers

Answer:

3/11

Step-by-step explanation:

the answer is 9/110 zzzz

i need some help please, thanks

Answers

Answer:

The slope, m is -3

[tex]{ \tt{ = \frac{3 - 0}{0 - 1} }} \\ = - 3[/tex]

The y-intercept is b = 3

Symbol of inequality:

[tex]{ \tt{x \geqslant 1}} \\ or : \\ { \tt{y \geqslant 3}}[/tex]

the line that passes through the point (-4, 2) and has a
What is the equation of
slope of
2?

Answers

Answer:

y = 2x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (- 4, 2 ) into the partial equation

2 = - 8 + c ⇒ c = 2 + 8 = 10

y = 2x + 10 ← equation of line

please help me with this on the image

Answers

Answer:

ik only 1 of them and i dont even know if this is correct...

a) A

Find the equation for the line that passes through the points and . State your
equation with whole numbers and/or fractions, not decimals.

Answers

Answer:

y = 2x.

Step-by-step explanation:

The slope = (6 - (-4))/(3 - (-2))

= (6 + 4)/(3+2)

= 10/5

= 2.

Using this and the point (3, 6) we have:

y - 6 = 2(x - 3)

y = 2x - 6 + 6

y = 2x.

A professor, transferred from Toronto to New York, needs to sell his house in Toronto quickly. Someone has offered to buy his house for $220,000, but the offer expires at the end of the week. The professor does not currently have a better offer but can afford to leave the house on the market for another month. From conversations with his realtor, the professor believes the price he will get by leaving the house on the market for another month is uniformly distributed between $210,000 and $235,000. If he leaves the house on the market for another month, what is the probability that he will get at least $225,000 for the house

Answers

Sorry I’m not sure but others might know

Which graph shows the solution to the given system of inequalities? [y<6x+1 y<-3.2x-4

Answers

Answer:

VERY NICE RACK U HAVE MAM

Step-by-step explanation:

Answer:

Its a

Step-by-step explanation:

found on another thing and im taking test

Use the procedures developed to find the general solution of the differential equation. (Let x be the independent variable.)

2y''' + 15y'' + 24y' + 11y= 0

Answers

Solution :

Given :

2y''' + 15y'' + 24y' + 11y= 0

Let x = independent variable

[tex](a_0D^n + a_1D^{n-1}+a_2D^{n-2} + ....+ a_n) y) = Q(x)[/tex]  is a differential equation.

If [tex]Q(x) \neq 0[/tex]

It is non homogeneous then,

The general solution  = complementary solution + particular integral

If Q(x) = 0

It is called the homogeneous then the general solution =  complementary solution.

2y''' + 15y'' + 24y' + 11y= 0

[tex]$(2D^3+15D^2+24D+11)y=0$[/tex]

Auxiliary equation,

[tex]$2m^3+15m^2+24m +11 = 0$[/tex]

-1  | 2    15    24     11

    | 0   -2    - 13    -11  

      2    13    11       0

∴ [tex]2m^2+13m+11=0[/tex]

The roots are

[tex]$=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$=\frac{-13\pm \sqrt{13^2-4(11)(2)}}{2(2)}$[/tex]

[tex]$=\frac{-13\pm9}{4}$[/tex]

[tex]$=-5.5, -1$[/tex]

So, [tex]m_1, m_2, m_3 = -1, -1, -5.5[/tex]

Then the general solution is :

[tex]$= (c_1+c_2 x)e^{-x} + c_3 \ e^{-5.5x}$[/tex]

 

A man owns 3/4 of the share of a business and sells 1/3 of his
shares for Birr 10,000. What is the value of the business in Bir?

Answers

Given:

A man owns 3/4 of the share of a business and sells 1/3 of his  shares for Bir 10,000.

To find:

The value of the business in Bir.

Solution:

Let x be the value of the business.

It is given that a man owns 3/4 of the share of a business and sells 1/3 of his  shares for Bir 10,000.

[tex]x\times \dfrac{3}{4}\times \dfrac{1}{3}=10000[/tex]

[tex]x\times \dfrac{1}{4}=10000[/tex]

Multiply both sides by 4.

[tex]x=4\times 10000[/tex]

[tex]x=40000[/tex]

Therefore, the value of the business is 40,000 Bir.

What is the area of the figure

Answers

Answer:

72 in. sq.

Step-by-step explanation:

6 x 6 = 36

6 x 6 = 36 / 2 = 18

6 x 6 = 36 / 2 = 18

18 + 18 + 36 = 72.

Hope this helps!

If there is something wrong just let me know.

72 inches is the answer

the volume of a box is 360cm³,if the height is 9cm and the breadth is 8cm, find the length​

Answers

Answer:

5 cm

Step-by-step explanation:

V = l*w*h

360 = l*8*9

360= 72l

Divide each side by 72

360/72 = 72l/72

5=l

Answer:

[tex]length = 5cm[/tex]

Step-by-step explanation:

[tex]volume \: = l \times b \times h \\ l = \frac{v}{b \times h} \\ l = \frac{360 {cm}^{3} }{9cm \times 8cm} \\ l = \frac{360}{72} \\ l = 5cm[/tex]

Hope this helps you.

have a nice day!

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