Find the value of ccc so that the polynomial p(x)p(x)p, left parenthesis, x, right parenthesis is divisible by (x+2)(x+2)left parenthesis, x, plus, 2, right parenthesis. P(x) = 4x^3+cx^2+x+2p(x)=4x 3 +cx 2 +x+2p, left parenthesis, x, right parenthesis, equals, 4, x, cubed, plus, c, x, squared, plus, x, plus, 2 c=c=c, equals.

Answer:

Step-by-step explanation:

The number of men on the sight - seeing tour was  22 .

In the question ,

it is given that,

the ratio of women to children on the tour is = 5 : 2

let the number of men in the sight seeing tour =  m

let the number of women in the sight seeing tour =  w

let the number of children in the sight seeing tour =  c

So , w/c = 5x/2x

also the ratio of children to men is 5/11 ,

c = 5y and m = 11y

the number of women on the sight seeing tour is less than 30 ,

which is 5x < 30 ,

x < 6

but we have c = 2x and 5y ,

and since c is a multiple of 5 , 2x also has to be a multiple of 5 ,

earlier we got , x < 6 ,

Now using x =5 , we get c = 2*5 = 10

and so , 10 = 5y

y = 2 ,

So , the number of men = 11y = 11*2 = 22 men

Therefore , the number of men are 22 .

The given question is incomplete , the complete question is

On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight-seeing tour?

(1) On the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11.

(2) The number of women on the sight-seeing tour was less than 30.

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The error was made when he added the number in the radical expression in the computation, despite the fact that the numbers do not have the same base.

Any expression that contains a radical symbol is considered a radical expression. To find the square roots, cubic roots, and higher, radical symbols are used. For example, √7, √6, and √11 are in the radial form.

The expression is given in the question following:

4√5 + 7√3

11√8

The error was made in that he add the number in the radical expression in the calculation while the terms are not the same base.

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Answer:

i = (L – 1)/(m – 1) = 99/3 = 33. i = 33.

Step-by-step explanation:

When the population starts out with 8 people and triples, it will take 5 years to reach 1,944.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

Initial population=8

Final population=1944

Rate of increment=3ˣ

1944=8*3ˣ

1944/8=3ˣ

243=3ˣ

3ˣ=3⁵

x=5

It will take 5 years for the population to reach 1,944 when started with with the population of 8 and increase by 3ˣ.

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The probability of selecting D twice in the random selection is D. 4 / 9.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

It should be noted that the probability of selecting D will be:

= 2 / 3.

Therefore, the probability of selecting D twice will be the multiplication of the probability that's gotten twice. This will be illustrated thus:

= 2 / 3 × 2 / 3

= 4 / 9

Therefore, the probability is 4 / 9.

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Answer:

-------------------------------

Given sequence:

Find the common ratio, the ratio of two consecutive terms:

or

Answer:

table 3

Step-by-step explanation:

As we know that

A Linear function is the one whose graph represents a line OR value of its dependent and independent variable change at a rate which remains constant throughout.

Now in the fourth table the values of x and y are given as show below:

The proportion should be sufficiently demonstrated to be lower than 49% at the 0.05 level.

Given,

Less than 49% of a newsletter publisher's subscribers, in their estimation, own a personal computer.

A potential advertiser wants to verify this claim for marketing purposes.

The marketer chooses to reject the null hypothesis after running a test with a 0.05 level of significance.

We have to determine the conclusion regarding the publisher's claim;

Here,

Null and Alternative hypothesis;

H₀ = P ≥ 0.49

H₁ = P < 0.49 (Left tailed test)

The significance level is 0.05

So,

0.05 < 0.49

Then,

At the defined meaning level, it is chosen to reject the null hypothesis.

Therefore,

There should be sufficient evidence that the proportion is lower than 49% at the 0.05 level.

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Answer:

l. and ll and lll only

Step-by-step explanation:

Horizontal lines are parallel so as suggested in:

1. Vertical angles are congruent, so 5a = 115.

2. Alternate interior angles are congruent, so b - 12 = 65.

3. Corresponding angles are congruent and linear angle pairs sum up to 180, so (b-12) + 65 = 180.

However, alternate interior angles are congruent,

as stated in 2nd suggestion too, so the sum is not 180 but 130.

Therefore 4th suggestion is not correct.

Answer:

60 minutes

Step-by-step explanation:

Saturday = 16 minutes

Sunday = 28 minutes + 16 minutes = 44 minutes

Saturday + Sunday = 44 + 16 = 60 minutes

Answer: x < 4

Step-by-step explanation: look at the link attached

The equation of the function is: B = -5x + 30

X-intercept is 6, which means after 6 hours, the battery is totally drained.

The x-intercept of a function is the point on the x-axis that the line intercepts, which is the value of x when y = 0.

Find the slope of the function (m):

Slope (m) = change in B / change in t = (20 - 10) / (2 - 4)

Slope (m) = 10/-2

Slope (m) = -5

The y-intercept (b) = 30.

Write the equation of the function by substituting m = -5 and b = 30 into B = mt + b:

B = -5x + 30

The x-intercept of the function is 6, which represents the hours it took for the whole battery to drain.

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Answer:

B

Step-by-step explanation:

Round 64.12 and 7.4 to whole numbers that divide nicely, and are CLOSE to the original numbers.

The simplification of the given indices is; D: nine raised to the fourth power divided by three raised to the tenth power

How to use the Law of Indices?

This is written as;

(9⁻² * 3⁵)⁻²

According to laws of indices, we know that;

(a²)³ = a²*³ = a⁶

Thus;

(9⁻² * 3⁵)⁻²= (9⁻²)⁻² * (3⁵)⁻²

⇒ 9⁴ * 1/3¹⁰

⇒ 9⁴/3¹⁰

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Answer:The simplification of the given indices is; D: nine raised to the fourth power divided by three raised to the tenth power

The length and width of the rectangular poster are 23 inches and 7 inches respectively.

Here we have to find the dimensions of the length and width of the rectangular.

Data given:

length of the rectangular poster is 2 more than three times its width.

Let us assume that the width of the rectangular is x.

The area of the poster = is 161 inches²

So by this, we get the length 3x + 2.

width = x

length = 3x + 2

The formula of the area of the rectangular:

Area = length × width

161 = (3x+ 2) × x

161 = 3x² + 2x

3x² + 2x - 161 = 0

3x² + 23x - 21x - 161 = 0

x(3x + 23) - 7( 3x + 23) = 0

(3x + 23) ( x -7)= 0

x = -23/3, 7

As the length cannot be negative so we get the value of x as 7

width = 7 inches

length = 3x + 2

= 3×7 + 2

= 21 + 2

= 23inches

Therefore the length and width are 23 inches and 7 inches respectively.

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Answer:

Step-by-step explanation:

a mouse weighs around 18–35 gram. [ 1] , while an average elephant around 5,443 kilogram. [ 2] Which means an elephant is about 200,000 times heavier then a mouse. (of course, a baby elephant of 100 kilogram compared to a heavy mouse (33 1 3 gram) only weighs 3000 times heavier) Footnotes. [ 1] Species Specific Information: Mouse.

Answer:

97

Step-by-step explanation:

< LMN = 33

The sum of the interior angles equal 180

180 - 92 - 55 = 33

<QM (can't read the last letter 50

180 - 45 - 85 = 50

<LMQ This is a straight angle and straight angles are 180

180 - 33 -50 = 97

A local deli makes turkey sandwiches and salami sandwiches at a weekly ratio of 2 salami sandwiches for every 5 turkey sandwiches. If the deli makes 60 turkey sandwiches this week, how many salami sandwiches did they make?

5 salami sandwiches

16 salami sandwiches

30 salami sandwiches

24 salami sandwiches

2 to 5 = x to 60

60/5 = 12

2 * 12 = 24

Investment worth today  is $23520 and interest earned = $3520 on compound interest.

What is compounding interest?

Compound interest is interest calculated on the initial principal, that conjointly includes all of the accumulated interest from previous periods.

Generating "interest on interest" is thought because the power of interest.

Main body:

1)

time = 5.5 years

rate = 2.96%

Principle amount = $20000

Compounding interest = P(1+r/n)^tn

where

n = number of times interest applied per time period

t=number of time periods elapsed

here n = 365

Amount =  20000(1+0.0296/365)^5.5*365

              = 20000*1.176

              = $23520

hence ,interest earned = $23520 - $20000 = $3520

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The standard deviation of the sampling distribution is 0.03

Instructor number is calculated as - (failure /100)

Number of failures for instructor A = 13 = 0.13

Number of failures for instructor B = 0 = 0.

Number of failures for instructor C = 11 = 0.11

Number of failures for instructor D = 16 = 0.16

Calculating mean -

Mean(m)

= 0.13 + 0.11 + 0.16) / 3

= 0.4 / 3

= 0.13

Calculating the Standard deviation -

Σ(X - m)² / N - 1

Σ(0.13 - 0.1333)² + (0.11 × 0.1333)² + ( 0.16 - 0.1333)² = 0.001266

= 0.001266 / 2

= 0.00063343

= √0.00063343

= 0.025168

= 0.03

Complete question -

The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results: Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What is the estimate of the standard deviation of the sampling distribution for an instructor's sample proportion of failures?

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hence proved If number is 2t + 1 where t belongs to integer, then it is odd integer.

Odd number integers = 2k + 1, where k is integer

Even number integer = 2k

Odd integer + even integer

= 2k + 1 + 2k

= 4k + 1

= 2(2k) + 1

Let 2k = t, where t is integer

 = 2t + 1

= Odd integer by definition

If number is 2t + 1 where t belongs to integer, then it is odd integer.

Hence proved.

The question is incomplete. The complete question is :

Each statement below involves odd and even integers. An odd integer is an integer that can be expressed as 2k+1, where k is an integer. An even integer is an integer that can be expressed as 2k, where k is an integer. Prove each of the following statements using a direct proof. (a) The sum of an odd and an even integer is odd

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The ball will land 67.381 feet away.

Thus, option (B) is correct.

Given:

v = 62 feet / second

[tex]\theta[/tex] = 15

h = 2.2 feet

Using the formula

Horizontal range = [tex]\dfrac{v \;cos\; \theta\; [v \;sin\;\theta + \sqrt{v^2\;sin\;\theta + 2gh]}}{g}[/tex]

Substituting the value back into the formula as

Horizontal range = [tex]\dfrac{62 \;cos\; (15)\; [62 \;sin\;(15)+ \sqrt{(62\;sin\;(15))^2 + 2g*2.2]}}{g}[/tex]

                            = 67.381 feet

Therefore, the distance is 67.381 feet.

Thus, option (B) is correct.

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The question attached here seems to be incomplete, the complete question is:

A tennis player hits the ball with an initial speed of 62 feet per second at an angle of 15", from a height of 2.2 feet. How far away does the ball land in feet? (5 points)

56.372 feet

67.381 feet

60.646 feet

47.293 feet

Half-life of iodine-133 is 21.7 hours .

FR = 0.5n  (fraction remaining)

n = number of half lives that have elapsed.

FR = 4.7x102 / 5.5x102 = 0.8545

n = to find

0.8545 = 0.5n

log 0.8545 = n log 0.5

-0.0683 = -0.301 n

n = 0.227 half lives have elapsed

Since this is equal to 295 minutes, we can easily find what 1 half life is

0.227 / 295  = 1 / x

x = 1300 min = 21.7 hours

The amount of time it takes for the concentration of a given reactant to reach half of its initial concentration is known as the half-life of a chemical reaction  (i.e. the time taken for the reactant concentration to reach half of its initial value).

It is commonly expressed in seconds and is represented by the sign t1/2 .

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The value of the expression illustrated as 1.5(6t+2) is 9t + 3.

Expression is simply used in Mathematics to show the relationship between the variables that are illustrated. In this case, this depicts the information given.

Based on the information, the expression is illustrated as:

1.5(6t+2)

Open the parentheses

(1.5 × 6t) + (1.5 × 2)

= 9t + 3.

The value is 9t + 3.

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Complete question

Find the value of the expression given 1.5(6t+2) i

The number of ways would be 2.68367259e14 for selecting 15 candidates out of  66 candidates.

Generally speaking, an arrangement of objects is just a collection of them. The sequence of the n items has no bearing on the number of "arrangements" that can be made of them (order is significant).

Total Candidates for software engineer = 66

Total Short listed candidates = 15

To find:

Number of 15 Candidates set possible

  ⁶⁶C₁₅ = [tex]\frac{66!}{51! 15!}[/tex]

After Calculating from calculator we get,

2.68367259e14.

Hence the number of ways would be 2.68367259e14.

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The sample space for the single digit even number = {2, 4, 6, 8}

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space.

Events are the subset of possible experiment results. Depending on the experiment, a sample space could contain a variety of results.

Given that,

Layla thinks about a positive single digit even number.

There are four single digit even numbers 2, 4, 6 and 8.

The sample space for the single digit even number = {2, 4, 6, 8}

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The normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution.

The usual normal distribution is then followed by the z variable. A value of the x variable's z variable, also known as the z-score of the x variable, indicates how many standard deviations from the mean it is.

The area under the normal distribution curve must be calculated that lies between

z=−1.56 and z=1.56

Using the standard normal table, the area is calculated as:

P(−1.56<z<1.56)

=P(z<1.56)−P(z<−1.56)

=P(z<1.56)−(1−P(z<1.56))

=0.9406−(1−0.9406)

=0.8812

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The complete question is

if z is a standard normal variable, find the probability. the probability that z lies between -1.56 and 1.56 is

Answer:

Leah runs:

400 meters per minute

Step-by-step explanation:

2000 meters ⇒ 5 minutes

A meters ⇒ 1 minute

A = 2000 meters * 1 minute / 5 minute

A = 400 meters