What is a possible value for the missing term of the geometric sequence? 25,_,874,…

Answers

Answer 1

Answer:

The middle term is 5√874

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

Given sequence

25, x, 874, ...

To find

The missing term x

Solution

Since the given is the GP, find the common ratio in terms of given values:

r = x/25r = 874/x

Equate the two values and solve for x to find the missing term:

x/ 25 = 874/xx² = 874*25x² = 21850x = √21850x = 5√874

Related Questions

Find the solution, if possible, to the following system of equations using any method.

Give your answer in fraction form if necessary. Show all work. If you use matrices, you MUST write out the augmented matrix you inputted into the calculator.

3 − 4 + = −4

4 − 8 + 7 = 2

−2 + 4 − 3 = 5

Answers

I do it for the first one I have to do that I need it for me to do not feel like I need it to be honest and help my head

PLEASE HELP!!!!!
Below, the two-way table is given for a class of
students.
Freshmen Sophomore Juniors Seniors Total
2
2
6
3
Male
4
Female 3
Total
6
4
If a student is selected at random, find the
probability the student is a male given that it's a
senior.
P (Male | Senior) = [?]
Round to the nearest whole percent.
Enter

Answers

Answer:

7%

Step-by-step explanation:

Harpreet, Sukhpreet and Komalpreet are three sisters. Sukhpreet is x years old. Harpreet is 3 years older than Sukhpreet. Komalpreet is twice the age of Harpreet. If the average age of the three sisters is 15, how old is Harpreet?

Answers

Answer:

12

Step-by-step explanation:

Givens

Harpreet        = x + 3

Sukhpreet     = x

Komalpreet   = 2*(x + 3)

Average Age = 15

Equation

[(x + 3) + x + 2*(x + 3) ] / 3 = 15                  Multiply both sides by 3

Solution

3 [(x + 3) + x + 2*(x + 3) ] / 3 = 15 * 3         Combine

 [(x + 3) + x + 2*(x + 3) ]       =   45             Remove the brackets

x + 3 + x + 2x + 6                 =   45             Combine like terms

4x + 9 = 45                                                 Subtract 9 from both sides

4x + 9 - 9 = 45 - 9                                       Combine

4x = 36                                                         Divide by 4

4x/4 = 36/4

x = 9

Answer

Harpreet is  x+ 3 = 9 + 3 = 12

Which choice is equivalent to the quotient below?
-/100/-/25

Answers

the answer to this equation is 4

A bus covers a certain distanc in 45 minutes if it runs at a Speed of 60km/hr. What must be the speed of the bus in order to reduce the time by 20 minutes .​

Answers

2.66 is the speed

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A standardized test is designed so that scores have a mean of 50 and a standard deviation of 4. What
percent of scores are between 42 and 58?
42
O 100%
46
about 95.4%
about 23.85%
about 47.7%
50
54
47.7%
58

Answers

Answer: about 95.4%

Step-by-step explanation: 47.7% of scores are within two standard deviations to the right of the mean. Use that percent and the fact that the graph is symmetric to find the percentage of scores within two standard deviations to the right and left of the mean.

47.7% + 47.7% = 95.4%

Using a crankshaft, a carpenter drills a 1 cm radius hole through a ball of wood along a diameter. If the radius of the ball is 4 cm, determine the volume of wood remaining.​

Answers

Answer:263.89cm cubed

Step-by-step explanation:

Volume of A Sphere: 4/3 pi radius cubed

4cubed= 64

64 times pi=201.061

201.061 multiply 4/3= 268.08

1cubed= 1

1 times pi=3.14

3.14 times 4/3= 4.19

268.08-4.19= 263.89cm cubed


Find K such that the number 23K10 is
divisible by 2, 3, and 5
2021

Answers

The values of K that will make 23K10 to be divisible by 2, 3 and 5 are; 0, 3, 6 and 9

How to use divisibility rules?

We want to find the number K in 23K10 that will make it divisible by 2, 3 and 5.

Now, for the number to be divisible by 2, 3 and 5, then it means it must be divisible by the LCM which is; 2 * 3 * 5 = 30

Now, the divisibility rule for 30 is that it must be divisible by 3 and 10.

If 23K10 is divisible by 3, sum of digits will be multiple of 3.

Thus;

2 + 3 + K + 1 + 0 = K + 6 must be equal to 0, 3, 6, 9, 12, 15, 18....

Thus, K could either be 0, 3, 6 or 9

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Which is the equation in slope-intercept form for the line that passes through (−2, 15) and is perpendicular to 2x + 3y = 4?


y=−32x+18

y=32x−12

y=23x+18

y=32x+18

Answers

The linear equation that respects the given conditions is:

[tex]y = \frac{3}{2}x + [/tex]

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two lines are perpendicular, the multiplication of their slopes is of -1. Hence, considering it is perpendicular to 2x + 3y = 4.

[tex]2x + 3y = 4[/tex]

[tex]3y = -2x + 4[/tex]

[tex]y = -\frac{2x}{3} + \frac{4}{3}[/tex]

Then:

[tex]-\frac{2}{3}m = -1[/tex]

[tex]m = \frac{3}{2}[/tex]

Hence:

[tex]y = \frac{3}{2}x + b[/tex]

It passes through (−2, 15), that is, when x = -2, y = 15, hence:

[tex]y = \frac{3}{2}x + b[/tex]

[tex]15 = \frac{3}{2}(-2) + b[/tex]

15 = -3 + b

b = 18.

So the equation is:

[tex]y = \frac{3}{2}x + [/tex]

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simplify the expression -2v+15d

Answers

Answer:

isn't this already fully simplified?

Step-by-step explanation:

britt estimated 8.8-6.2 by subtractions 9-6=3.it is overestimate or underestimate?​

Answers

over estimated because the exact answer is 2.6.

You are a loan officer at the West Elm Savings and Loan. Mr. and Mrs. Brady are in your office to apply for a mortgage loan on a house they want to buy. The house has a market value of $160,000. Your bank requires 1/5 of the market value as a down payment.
(a)
What is the amount (in $) of the down payment? $


(b)
What is the amount (in $) of the mortgage for which the Bradys are applying? $


(c)
Your bank offers the Bradys a 30-year mortgage with a rate of 5%. At that rate, the monthly payments for principal and interest on the loan will be $5.37 for every $1,000 financed. What is the amount (in $) of the principal and interest portion of the Bradys' monthly payment? $


(d)
What is the total amount (in $) of interest that will be paid over the life of the loan? $


(e)
Your bank also requires that the monthly mortgage payments include property tax and homeowners insurance payments. If the property tax is $1,710 per year and the property insurance is $1,458 per year, what is the total monthly payment (in $) for PITI (principal, interest, taxes, and insurance)? $


(f)
To qualify for the loan, bank rules state that mortgage payments cannot exceed 14 of the combined monthly income of the family. If the Bradys earn $3,750 per month, will they qualify for this loan?


Yes, they will http://qualify.
No, they will not qualify.


(g)
What monthly income (in $) would be required to qualify for this size mortgage payment? $

Answers

a) The amount (in $) of the down payment is $32,000.

b) The amount (in $) of the mortgage for which the Bradys are applying is $128,000.

c) The amount (in $) of the principal and interest portion of the Bradys' monthly payment, at $5.37 for every $1,000 financed, is $687.36.

d) The total amount (in $) of interest that will be paid over the life of the loan is $$119,449.60.

e) The total monthly payment (in $) for PITI (principal, interest, taxes, and insurance) is $951.36.

f) Based on the bank rules that state that mortgage payments cannot exceed 14% of the combined monthly income of $3,750, B. No, they will not qualify.

(g) The monthly income (in $) that would be required to qualify for this size mortgage payment is $4,909.71 ($687.36/0.14).

Data and Calculations:

Down payment = 1/5 or 20%

Home Price = $160,000

Down Payment = 20%

Loan Term = 30 years

Interest Rate = 5%

Annual property tax = $1,710 per year

Annual property insurance = $1,458 per year

Monthly taxes and insurance = $264 ($3,168/12)

Monthly PITI (principal, interest, taxes, and insurance) = $951.36 ($264 + $687.36)

14% of $3,750 = $525

Results:  

Monthly Pay:   $687.36 ($5.37 x $128,000/$1,000)

Loan Amount $128,000 ($160,000 - $32,000)

Down Payment = $32,000 ($160,000 x 20%)

Total of 360 Mortgage Payments = $247,449.60 ($687.36 x 360)

Total Interest = $119,449.60 ($247,449.60 - $128,000)

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What is the simplified form of this expression √-150

Answers

Answer:  [tex]\boldsymbol{5i\sqrt{6}}[/tex]  

where [tex]i = \sqrt{-1}[/tex]

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

Work Shown:

[tex]\sqrt{-150}\\\\\sqrt{-1*25*6}\\\\\sqrt{-1}*\sqrt{25}*\sqrt{6}\\\\i*5*\sqrt{6}\\\\\boldsymbol{5i\sqrt{6}}\\\\[/tex]

The trick with these type of problems is to factor the number into pieces such that we pull out the largest perfect square factor. In this case, that factor is 25. We also pull out the -1.

The rule used is [tex]\sqrt{A*B} = \sqrt{A}*\sqrt{B}[/tex] that lets us break up the root.

graph absolute value of x-1

Answers

Modulus function is a function gives absolute value of a number or variable.

It gives magnitude of the number or variables.

It is also known as an absolute value the function.

The result of this modulus function is always positive.

Draw the graph:

f(x) = |x-1|

f(x) = -(x-1) when x-1 is negative

f(x) = (x-1) when x-1 is positive

when x = -2, f(x) = 3

when x = -1, f(x) = 2

when x = 0, f(x) = 1

when x = 1, f(x) = 0

when x = 2, f(x) = 1

Using this values, draw the graph of f(x) = |x-1|

Hence, the required modulus of x-1 graph.

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What is the solution to the equation
1/4x-1/8=7/8+1/2x?

Answers

Answer:

x=-1/4

Step-by-step explanation:

1 / 4x-1/8 = 7/8 + 1 / 2x <=> 1/4x - 1/2x = 7/8+1/8 <=> 1/4x-2/4x = 1  <=> -1/4x = 1

<=> x= -1/4

Answer:

2.7 + 8x/8.2

Step-by-step explanation:

1/4x - 1/8 = 7/8 + 1/2x x/4 - 1/8 = 7/8 + x/2

8x + 4 (-1)/4.8 = 2.7 + 8x/8.2

Circle properties can be used to prove that various shapes are polygons.

Answers

The question is incomplete. Below you will get the missing part of the question.

Find whether the given statement is true or false ?

True. Circle properties can be used to prove that various shapes are polygons.

With a centre of the circles, sides of an angle with vertex outside the circle, and arcs inside the circle, various shapes can be polygon.

So, from this description, we can say that, circle properties can be used to prove that various shapes are polygons.

Hence, the given statement is true.

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Need the answer please anyone!!!

Answers

The correct expression is the one in option B.

[tex]P(x) = (x - \sqrt{4} )*(x - 2)*(x + 2)[/tex]

Which is the correct expression?

If we know that a polynomial has the known zeros:

{x₁, x₂, ..., xₙ}

Then the factored form is:

[tex]p(x) = a*(x - x_1)*...*(x - x_n)[/tex]

Where a is the leading coefficient, in this case we take a = 1.

Here we also know that the zeros are:

√4, 2, -2.

Then the factored form is just:

[tex]P(x) = (x - \sqrt{4} )*(x - 2)*(x - (-2))\\\\P(x) = (x - \sqrt{4} )*(x - 2)*(x + 2)[/tex]

Then we conclude that the correct option is B.

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Calculate the unit cost per Kg if it costs $16.99 for 454 g package of cooked shrimp.

Answers

Answer:

$37.42 / kg

Step-by-step explanation:

Divide 16.99 by 454 to get the unit cost per gram. This equals 0.037422907…

Take this number and multiply it by 1000, while rounding it to the nearest hundredth after.

This equals about $37.42 / kg.

Help me with this please!!

Answers

The cost that will be charged based on the information is $10.00.

How to calculate the amount?

From the information given, the estimate is 4% and the replacement cost is given as $250.

The amount that will be charged will be:

= 4% × $250

= 0.04 × $250

= 10.00

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Write the sentence as a proportion.
1(1)/(2) cups of milk is to 10 bagels as (3)/(4) cups of milk is to 5 bagels

Answers

The proportion would be something like 1.5/10 = .75/5

homework! This is a stats problem I’ve been struggling with and need help thanks!!!

Answers

good luck u believe in you im judt commenting to get points sorry

The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a mean of 6. Calculate the probability of getting at least 5 calls between eight and nine in the morning. Round your answer to four decimal places.

Answers

The probability of getting at least 5 calls between eight and nine in the morning is 0.8009.

How to calculate the probability?

The probability of getting at least 5 calls between eight and nine in the morning will be:

= 1 - [P(x = 0) + P(x = 1)]

= 1 - (e^-3(1 + 3]

= 1 - 0.19915

= 0.8009

Therefore, the probability of getting at least 5 calls between eight and nine in the morning is 0.8009.

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Which equation represents a line that is perpendicular to the line passing through (-4,7) and (1,3)?

Answers

The equation perpendicular to the line passing through the points (-4,7) and (1,3) is[tex]y=\frac{5}{4}x-2[/tex]

Equation perpendicular to a line

The slope of the given line is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-7}{1-(-4)} \\\\m=\frac{-4}{5}[/tex]

The equation perpendicular to the given line will be of the form

[tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

Substitute [tex]x_1=-4, y_1=7, and m=\frac{-4}{5}[/tex]

[tex]y-7=\frac{5}{4}(x+4)\\\\ y=\frac{5}{4}x+5-7\\\\ y=\frac{5}{4}x-2[/tex]

Therefore, the equation perpendicular to the line passing through the points (-4,7) and (1,3) is [tex]y=\frac{5}{4}x-2[/tex]

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Answer:  [tex]y = -\frac{5}{4} x - 2[/tex]

Step-by-step explanation:

[tex](4 * 3^x)'[/tex]

Evaluate

Answers

Answer:

[tex]\approx 4.39 \cdot 3^x[/tex]

Step-by-step explanation:

Recall a property:

[tex](c\cdot f(x))'=c\cdot f(x)'[/tex], where [tex]c[/tex] is a constant.

Apply the property to the task:

[tex](4\cdot 3^{x})'=4\cdot (3^x)'[/tex]

Recall a property of the derivative of an exponential function:

[tex](a^x)'=a^x \cdot \ln{a}[/tex]

Apply the property to the task:

[tex]4\cdot 3^x \cdot \ln 3[/tex]

Since [tex]\ln 3\approx 1.0986[/tex], it follows:

   [tex]4\cdot 3^x \cdot \ln 3 \approx 4\cdot 1.0986 \cdot \ln3[/tex]

Multiply the numbers.

The answer is about [tex]4.39\cdot 3^x[/tex].

Mary borrows $1250 from the bank. The loan terms is 18 months with 5% annual interest. How much interest will she pay? How much will she pay back in all?

Answers

Answer: 3375

Step-by-step explanation: The formula for simple interest is P( Principal, or initial amount) x R ( Rate or the percentage) x T ( Time) all out of 100( because of the percentage)

P x R x T/100

1. 1250 x 18 x 15/ 100

If you can simplify, or divide or cancel out, please do, it’ll make it easier; the 0 at the end of 1250, takes out one 0 from 100. 5 could cancel out 15 and 10, leaving them at 3 and 5 respectively, and lastly the two ( the hundred broken down) dividing 18, leaving us with 9.
2. 125 x 27

With all the breaking down we just did, we just have to multiply the two, leaving us with your answer: 3375.

Hope this was helpful

Price of article = $315.50
Down payment = $31.55
Monthly payment amount = $16.50
Duration of payments = 20 months

Interest

(
I
)
=
2
y
c
m
(
n
+
1
)

True annual interest rate to the nearest tenth=

Answers

The true annual interest rate to the nearest tenth is 16.7%.

How is interest determined?

The interest amount for this scenario can be determined by computing the total mortgage payment and subtracting the mortgage amount from the earlier figure.

Since payment was made for 20 months, the interest rate can be annualized using 24 months as below.

Data and Calculations:

Price of article = $315.50

Down payment = $31.55

Mortgage amount = $283.95

Monthly payment amount = $16.50

Duration of payments = 20 months

Total payment (mortgage and interest) = $330 (20 x $16.50)

Interest = $46.05 ($330 - $283.95)

Annualized interest rate = 16.7% ($46.05/$330 x 24/20)

Thus, the true annual interest rate to the nearest tenth is 16.7%.

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How many sides does a nonagon have

Answers

A nonagon has 9 sides.

Write the range of each function for the given domain:
f(x) = 3 + 2x; Domain = {-8, 4)

Answers

Answer:

the range of each function for the given domain are the step of 3+2x are equal the -8,4

Write 0,0234234... in the form m/n where m and n are relatively prime. ​

Answers


Let 0.0234234… = n
234.234234…=10,000n
234= 10,000n-10n
234= 9,990n
n= 234/9,990

0.0234234…= 234/9990

Answer:

m=26, n=111

Step-by-step explanation:

Let 0,0234234... be x

Then 100x = 23,4234234...

100x-x=23,4234234...-0.0234234...

99x=23,4

999x=234

111x=26

x=26/111

m=26, n=111

A jar contains 2 red marbles numbered 1 to 2 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event.

Answers

The probability that the randomly chosen marble will be red is 1/6 or 0.1667.

What is the probability of an event?

The probability of an event is the possibility, chance, or likelihood for an event to take place or occur.

From the given information:
Let us find the probability that if marble is drawn at random from the jar, the given marble will be red:

The total number of marble = 10 + 2 = 12 marbles.

There are 2 red marbles and 10 blue marbles

The probability that the randomly chosen marble will be red is:

P(red) = 2/12

P(red) = 1/6

P(red) = 0.1667

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Other Questions
Economic SurveyThe Economic Survey of India said that the government should refrain from raising exemption limits on income tax to facilitate natural growth of individual earnings and widen the taxpayers base, even as it also suggested increasing property tax.The Economic Survey 2015-16, tabled in Parliament on Friday, also called for a review and phasing out of the tax exemption raj that benefited the richer private sector and a reasonable taxation for better-off individuals. A cross-country comparison shows that India currently has the lowest number of taxpayers, it said, adding that nearly 85 per cent of the economy still remains outside the tax net.Just 5.5 per cent of earning individuals are in the tax net and the ratio should be raised to a desirable estimate of about 23 per cent, it said. Making a study of the data since Independence, the Survey said that the exemption thresholds have been raised much more rapidly than underlying income growth resulting in a widening of wedge between average income and threshold limit.One of the low hanging fruit would be to refrain from raising exemption thresholds for the personal income tax, allowing natural growth in income to increase the number of taxpayers. In some ways, this would be reform through inaction, the Survey said. It said that subsidies amounting to Rs. 1 lakh crore paid to well-off need to be scaled back. Also tax exemptions raj which often amount to redistribution toward the richer private sector will also need to be reviewed and phased out.Reasonable taxation of the better-off, regardless of where they got their income from industry, services, real estate or agriculture will also help build legitimacy, the Survey added. It also suggested that property taxation needs to be developed as sparse systematic data on property taxation shows how little attention has been given to this tax.Property taxes are especially desirable because they are progressive, buoyant and difficult to evade, since they are imposed on a non-mobile good which can be relatively easily identified, it said.Making a case for higher property tax rates, the Economic Survey said it would put sand in the wheels of property speculation.Smart cities require smart public finance and a sound property taxation regime is vital to Indias urban future, the Survey added.It said India has not fully translated its democratic vigour into commensurately strong fiscal capacity. In long run, if India is to stay on the line as its per capita income grows, it will need to build fiscal capacity.The Survey also said the governments spending priorities must include essential services that all citizens consume: public infrastructure, law and order, less pollution and congestion. It said the state should prioritise on reducing corruption and governments effort to improve transparency through transparent and efficient auctioning of public assets will help create legitimacy and over time strengthen fiscal capacity. The Survey said economic development in India lags political development.Independent India has averted famines, but chronic malnutrition is still a challenge. The Indian state can organise mega events, but routine safety for women has turned out to be more difficult to achieve. The Indian state responds effectively to floods and tsunamis but finds water and power metering more challenging, it added.Question 1 : What the case is all about? Provide the brief summary of the key issues discussed?Question 2: Do you really think that the Indias recent economic survey is against raising income tax exemption limits?Question 3: What has been said about property tax? Which type of function best models the data in the table below D=Help me please thank you:) In Python write a program that reads a list of integers into a list as long as the integers are greater than zero, then outputs the values of the list.Ex: If the input is:1053212-6the output is:[10, 5, 3, 21, 2]Code hints: while user_input >0: #This is the number that is greater than 0 from the list that is entered.print(user_numbers) #Prints out the numbers greater than zero that are inputted at the top part. Some help would be nice How do limiting factors determine the carrying capacity of an ecosystem?Why is sod valuable? a. loses fertility c. prevents soil erosion b. loses topsoil d. causes soil erosion Which fraction has the largest value? 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