10. Evaluate (14-2)÷3(2-3) - 2²Mark only one oval.A. OB. 2C. 20D. 22

The all possible zeros predicted by the Rational Zero Theorem individually and separated by commas are  ±1/1, ±1/11, ±2, ±2/11, ±5, ±5/11, ±10, ±10/11.

P(x) = 11x³ + 2x² + x + 10

The factors of the constant term 10 is  ±1, ±2, ±5, ±10 (=p)

The factors of leading coefficient are ±1, ±11 (= q)

The possible rational zeros are p/q : ±1/1, ±1/11, ±2/1, ±2/11, ±5/1, ±5/11, ±10/1, ±10/11.

After simplification the possible roots are  ±1/1, ±1/11, ±2, ±2/11, ±5, ±5/11, ±10, ±10/11.

Therefore, ±1/1, ±1/11, ±2, ±2/11, ±5, ±5/11, ±10, ±10/11. are the all possible zeros predicted by the Rational Zero Theorem individually and separated by commas.

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Answer:

x = 11,2 inchs

Step-by-step explanation:

I infer that the units are in inches.

8-3 = 5

Then:

By the Pythagorean Teorem:

x² = 10² + 5²

x² = 100 + 25

x² = 125

√x² = √125

x = 11.18

to the nearest tenth:

x = 11.2 inches

0.895 with 95 repeating on and on as a simplified fraction can be re-written as 887/990.

By critically observing the given number, we can reasonably and logically deduce that it has three (3) repeating digits. Since this number has three (3) repeating digits, we would have to multiply n by 1000 as follows:

1000n = 0.895

1000n = 895.95        .......equation 1.

10n = 8.95            .......equation 2.

Subtracting equation 2 from equation 1, we have:

1000n - 10n = 895.95 - 8.95

990n = 887

Dividing both sides by 990, we have:

n = 887/990

Simplified fraction, n = 887/990.

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Complete Question:

Write 0.895 with 95 repeating on and on as a simplified fraction.

We are given that the length of a rectangle is 3 inches greater than the width.

Let us draw a rectangle and label the width and length.

Part A:

Let the width of the rectangle is x inches.

Then the length of the rectangle is (x + 3) inches.

Now recall that the area of a rectangle is given by

Where L is the length and W is the width of the rectangle.

Therefore, the above polynomial represents the area of the rectangle.

Part B:

We are given that the width is 4 inches.

Substitute the width (x = 4) into the equation of the area that we found in part A.

Therefore, the area of the rectangle is 28 square inches.

Answer:

Step-by-step explanation:

First, graph your first point at (-1,3) Then, take your slope which is 1/2 and use rise over run. So from your point of (-1,3) go up 1 in your y coordinate, and 2 in your x coordinate. So your next point should be at (1,4)

Answer:

1 hour and 40 minutes

Step-by-step explanation:

60 minutes in an hour

we have 100 minutes

100 - 60 = 40

in 100 minutes we already have 1 hour

now we have 40 minutes left

can 40 minutes make another 60?

No.

so 100 minutes make

The car will need 6 gallons of gasoline to travel 102 miles

Given that the car travels 442 miles on 26 gallons of gasoline.

Because the more the distance, the more the volume of gasoline used, this is a direct proportion.

So, we have:

It will need 6 gallons.

Answer:

Step-by-step explanation:

y=-3x+24

(0,24)

Answer:

it can't be in a whole number since it is a fraction and will go in decimals

The function that is represented on the graph is (a) y = x^2 + 4, x < 2 and y = x + 4, x ≥ 2

The graph represents the given parameter

From the graph, we have the following function types

Using the options as a guide, we have the equations to be

Next, we calculate the domain

The quadratic function stops at x = 2 with an open circle

So, the domain is x < 2

The linear function starts at x = 2 with a closed circle

So, the domain is x ≥ 2

Hence, the graphed function is (a)

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Answer

Check Explanation

Explanation

a ≡ b (mod n)

This means a and b have the same remainder when they are divided by n

So, to check if this question works out, we divide what is on the left hand side and what is on the right hand side by what is after the mod.

1) 67 × 73 ≡ 1 × 3 (mod 5)

4891 ≡ 3 (mod 5)

So, to check,

(4891/5) = 978 remainder 1

(3/5) = 0 remainder 3

The remainders are different.

So, this equation is wrong and does not work.

This equation is false.

2) 83¹⁴⁴ ≡ 15¹⁴⁴ (mod 17)

Noting that it is the units digit that determines the remainder

3 raised to the power of a multiple of 4 gives 81 raised to the power of a positive integer

5 raised to power of a multiple of 4 gives 625 raised to the power of a positive integer

So, using these numbers,

83¹⁴⁴ ≡ 15¹⁴⁴ (mod 17)

81 ≡ 625 (mod 17)

(81/17) = 4 remainder 13

(625/17) = 36 remainder 13

The remainders are the same.

So, this equation is correct and it works.

This equation is true.

Hope this Helps!!!

Answer: The perimeter of the triangle is 69 cm.

Step-by-step explanation:

Let us consider the side of the triangle be 3x ,4x and 5x.

According to the question,

The longest side of the triangle be 30 cm.

. 5x=30cm

x=6 cm

So the side of the triangle are 18cm ,24 cm and 30 cm.

The perimeter of the triangle is the sum of sides of the triangle.

so perimeter is =15+24+30=69 cm



Answer:

9 + 7 + 7.2 = 23.2

23.2 x 2 = 46.4

Step-by-step explanation:

When two bills are drawn randomly without replacement,  the probability that their sum is $20 or more is 1/2.

Given,

An envelope contains 8 bills;

Two of $1 bills, Two of $5 bills, Two of $10 bills, Two of $20 bills.

When two bills are drawn randomly without replacement, we have to find the probability that their sum is $20 or more.

Total  outcomes = 2 x 2 x 2 x 2 = 16

Total possible outcomes, more than 20;

(1, 20), (20, 1), (5, 20), (20, 5), (10, 10), (20, 10), (10, 20), (20, 20) = 8 cases

That is,

The total possible outcomes is 8.

Now,

The probability of bill to be $20 or more = Possible outcome / Total outcome

Probability = 8/16 = 1/2

That is,

When two bills are drawn randomly without replacement,  the probability that their sum is $20 or more is 1/2.

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

The sum of interior angles of a polygon is:

CONCLUSION:

The final answer is:

The correct representation of the inequality is x > 5 or –6x + 15 < 10 – 5x.

The inequality can be best represented as follows;

–3(2x – 5) < 5(2 – x)

An inequality is a mathematical expression that has the signs <, >, ≤ and ≥.

Therefore,

–3(2x – 5) < 5(2 – x)

open the brackets

- 6x + 15 < 10 - 5x

Lets solve further by subtracting 15 from both sides of the inequality.

- 6x + 15 < 10 - 5x

- 6x + 15 - 15 < 10 - 15 - 5x

- 6x < - 5 - 5x

add 5x to both sides of the inequality.

- 6x < - 5 - 5x

- 6x + 5x < - 5 - 5x + 5x

-x < - 5

divide both sides by  -1

Therefore,

x > 5

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The solution of the given inequality is x > 5 which is the correct representation of x > 5 or –6x + 15 < 10 – 5x.

The inequality is given in the question as

–3(2x – 5) < 5(2 – x)

Open the parenthesis and apply the distributive property of multiplication,

⇒ - 6x + 15  <  10 - 5x

Subtract 15 from both sides of the above inequality,

⇒ - 6x + 15 - 15 < 10 - 15 - 5x

⇒ - 6x < - 5 - 5x

Add 5x to both sides of the inequality,

⇒ - 6x + 5x < - 5 - 5x + 5x

⇒ -x < - 5

Multiply both sides by  -1 and flip the sign of inequality

⇒ x > 5

Therefore, the solution of the given inequality is x > 5.

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The domain is the set of all real numbers and the range is the set of all real numbers larger than -4, so the correct option is the third one.

For a function y = f(x) we define the domain as the set of the x-values (horizontal axis) and the range as the set of the y-values (vertical axis).

Here we have a parabola, in this case the domain is always the set of all real numbers, and the range is all the values above or equal to the vertex (in cases like this, where the parabola opens up).

We can see that the vertex is at y = -4

So the range is.

[-4, ∞]

So the correct option is 3.

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The arithmetic says we should subtract find the difference between 86.89 and 56.389.

Notice we have to put a place holder of 0 at the ending of 86.89 to do the subtraction. Then we have to borrow 1 from the hundredth term(9) of 86.890 to make 0 ten . so ten minus 9 should be 1. Then the difference of the hundreth term(8 - 8) is 0. 8 minus 3 is 5. 6 minus 6 is zero and finally 8 minus 5 is 3.

The answers are B and D

Answer:

Step-by-step explanation:

0 mixed berry smoothies and 70 milkshakes

EXPLANATION

We can apply the Obtuse Triangle Theorem to check if the the measures of the sides appropiately represents the measures of the triangle:

Perimeter = 40 cm = 4x + 2x + 2 + x + 3

Adding like terms:

40 = 7x + 5

Subtracting 5 to both sides:

40 - 5 = 7x

Adding like terms:

35 = 7x

Dividing both sides by 7:

35/7 = x

Simplifying:

Then, by the obtuse triangle theorem, the following relationship should be fulfilled.

We are given a two-way probability table

Part a)

If one of the vehicles is selected at random, determine the probability that the vehicle is a car.

From the table, we see that the total number of cars are 1441

Also, the total number of vehicles is 2420

Then the probability of selecting a car is

Therefore, the probability that the vehicle was a car is found to be 0.5955

Part b)

If one of the vehicles is selected at random, determine the probability that it used the electronic toll pass, given that it was a car.

This is a conditional probability problem.

The conditional probability is given by

From the table, we see that,

So, the probability is

Therefore, the probability that it used the electronic toll pass, given that it was a car is found to be 0.3727

The probability that the randomly chosen vehicle is a car is  59.54 %.

The probability that the randomly chosen vehicle is a car given that it used the toll pass is  61.94%.

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

The probability that the randomly chosen vehicle is a car is the total no of cars divided by the total no. of vehicles which is,

= 1441/2420.

= (1441/2420)×100%.

= 59.54 %.

The probability that the randomly chosen vehicle is a car given that it used the toll pass is the total no. of cars that used the toll pass divided by the no. of vehicles that used the toll pass which is,

= (537/867)×100%.

= 61.94%.

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Answer:

y= x/(n-9)

Step-by-step explanation:

Move 9 to the right side to get n-9

Take y over to get x=y(n-9)

Then shift n-9 over to other side to get y= x/(n-9)

The probability that the sample mean would differ from the true mean by more than $2.5 is 0.0062

Mean cost of the five pound shrimp bag = $40

Variance of the five pound shrimp bag = $36

The number of the shrimp bag = 43

The given mean value = $2.5

The z-score = $2.5

The probability of the sample mean differ by $2.5 from the true mean can be calculated by

  P(z > 2.5) = 1 - P(z < 2.5)

From the z table , we can get the value of  z < 2.5 which is 0.9938

    P(z > 2.5) = 1 - 0.9938

   P(z > 2.5) = 0.0062

Therefore , the probability of sample mean from the true mean by 2.5 is 0.0062

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Answer:

2$

Step-by-step explanation:

Answer:

$2

Step-by-step explanation:

trey's mom bought him a card for $20, if he already has $7 & will get $15 for his chores, add them together & thats $22. Once he pays off the $20 he will have $2 left.

If the chi-square test's expected frequencies rule is broken, either the row or the column is combined to provide a higher frequency that can be used to run the independence test.

Generally speaking, if more than 20% of the anticipated frequencies have a value of less than 5, Chi-Square should not be used (it does not matter what the observed frequencies are).

Both the chi-square test and Fisher's exact test are inappropriate if the sampled values' independence is broken. This presumption will be broken if the same subject results in more than one observation in the contingency table.

There are distinct assumptions for each non-parametric test as well. The data in the cells should represent frequencies or counts of cases rather than percentages or other data transformations, according to the Chi-presumptions. square's The variables' levels are mutually exclusive.

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Answer:

you wmekekd

Step-by-step explanation:

We are to solve an inequality and give the answer in graph form.

The inequality is:

Let's solve for n in order to be able to answer the question.

we start by trying to isolate n on one side of the inequality symbol. So first combine 6-5 = 1 and re-write the inequality:

Now, subtract 1 from both sides, and you get the final answer:

n must be larger than or equal to 17. WHich agrees with the first answer option provided by the problem.

Answer

θ = 37° 30'

Explanation:

The angle of depression has the same measure as the angle of elevation, so a trigonometric function that related the sides of the triangle and the angle of elevation θ is tangent. Then:

Therefore, the value of θ is:

So, in grades and minutes, we get:

θ = 37.50 = 37° 30'

Therefore, the angle of depression is 37° 30'

Simplified version of the given radical expression would be...

[tex]5x^2\sqrt{7x}[/tex]

Hope this helps!