Factor as the product of two binomials.
81 +18x +x^2​

Answer:

55

Step-by-step explanation:

The measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

The angle measures of a triangle are 2y + 3 degrees, 9y – 7 degrees, and 7y + 4 degrees.

As we know,

The sum of the interior angle of the triangle is 180 degrees

2y + 3 + 9y - 7 + 7y + 4 = 180

18y = 180

y = 10

2y + 3 = 2(10) + 3 = 23 degres

9y - 7 = 9(10) - 7 = 83 degrees

7y + 4 = 7(10) + 4 = 74 degrees

Thus, the measures of the angles are 23, 83, and 74 degrees. 97 degrees is not the measure one of the angle measures of the triangle option (B) is correct.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

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Kay deposited (c)$93.44  in cash and coins.

Money or coins that are legal tender can be used to pay for goods, debts, or services. Additionally, as stated by a corporation, it occasionally includes the worth of assets that can be quickly converted into cash. In its physical form, cash is another name for money. Bank accounts and marketable securities, such as government bonds and banker's acceptances, are typically included in the definition of "cash" in a business context.

We proceed from the whole backward. The amount deducted for cash received is first added back,

498.01+213.51 = 711.52

Each cheque that was deposited is then subtracted:

711.52-40.25 = 671.27

671.27-57.68 = 613.59

613.59-520.15 = 93.44

She started with (c) $93.44 in cash and coins.

Correct Question :

How much did kay deposit in cash and coins? a. $404.57 b. $213.51 c. $93.44 d. $284.50

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Step-by-step explanation:

1. let the percentage be x

therefore, x% of 126=22

(x/100) * 126=22

x=(22*100)/126

=17.46%

2. let percentage be x

25.7=x% of 141

25.7=(x/100)*141

x=(25.7*100)/141

x=18.23%

3. 46=x% of 107

46=(x/100)*107

x=(46*100)/107

x=43%

4. 62% of x=89.3

(62/100)*x=89.3

x=(89.3*100)/62

x=144

5. 30% of 117=x

( 30/100)*117=35.1

6. 120% of 118=?

(120/100)*118=141.6

7. 270 of 60

270*60= 16200

8. 87% of 41

(87/100)*41

=35.67

9. x% of 88.6=70

(x/100)*88.6=70

x=(70*100)/88.6

x=79%

Answer:

the answer is real, irrational

Answer:-75

Step-by-step explanation:

Khan Academy

Answer:

-75

Step-by-step explanation:

trust

Answer:

what are all these number for???

Step-by-step explanation:

Answer:

where is the graphs

Step-by-step explanation:

Answer:

1, -16

Step-by-step explanation:

-5+6=1

-3-13=-16

(1, -16)

Answer:

a = 3

Step-by-step explanation:

Factor both expressions

x² - x - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)

The factors are - 3 and + 2 , since

- 3 × 2 = - 6 and - 3 + 2 = - 1 , thus

x² - x - 6 = (x - 3)(x + 2)

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

x² + 3x - 18

consider factors of constant term (- 18) which sum to give the coefficient of the x- term (+ 3)

The factors are + 6 and - 3 , since

6 × - 3 = - 18 and 6 - 3 = + 3 , thus

x² + 3x - 18 = (x + 6)(x - 3)

Both expressions have a common factor of (x - 3)

Compare with (x - a ), then a = 3

Answer: Yes, that is correct In an exponential decay model, the relative decay rate remains constant for all values of time (t). This means that the amount of decay that occurs per unit of time remains the same throughout the decay process. This is a fundamental property of exponential decay and is what allows us to make accurate predictions about the future behavior of decaying systems.

Step-by-step explanation:

The relative decay rate in the exponential decay model remains constant for all t. This means that the proportion of the substance decaying over time remains the same, even though the absolute amount of the substance decreases over time. This constant relative decay rate is a key characteristic of exponential decay processes.

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Answer:

radius

Step-by-step explanation:

hope this helps

Answer:

Representatives of Spain and the United States signed a peace treaty in Paris on December 10, 1898, which established the independence of Cuba, ceded Puerto Rico and Guam to the United States, and allowed the victorious power to purchase the Philippines Islands from Spain for $20 million.

If  the length of AB is the same as the length of DC, AC = 9, and

DE = 4, the length of DC is 6 units.

Since DE is parallel to AB and AC = 9, then we can use alternate interior angles to find the length of DC.

Using alternate interior angles, we have:

∠DAC = ∠EAB (Since they are alternate interior angles of two parallel lines)

And from the diagram, we have:

∠DAC = 90° (Since AC is perpendicular to DC)

∠EAB = 90° (Since AB and DE are parallel)

So, we have two right angles, ∠DAC = ∠EAB.

Let find the length of DC:

DC^2 = AC × DE

DC^2 = 9× 4

DC^2 = 36

DC = √36

DC = 6

Therefore, the length of DC is 6 units.

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Answer:

x = 5, y = -2

Step-by-step explanation:

Given equations:

From the first equation we get:

Substitute x in the second equation, find y:

Find x:

Answer: I would say that you have to divide the children's cost and the total amount of money. you would do the same for the adults as well

1,350/1.75= 780 Children

1,350/6.20= 220 Adults

a) The arrival rate of parties requesting a table of size two per hour is 50% of the total arrival rate. Therefore, it is 0.5 * 24 = 12 parties per hour.

b) The total arrival rate of parties requesting tables of any size per hour is 24 parties per hour.

c) The average number of parties requesting a table of size four per hour is 40% of the total arrival rate. Therefore, it is 0.4 * 24 = 9.6 parties per hour.

d) The average number of parties waiting for a table of size four is given as 2 parties.

a) The arrival rate of parties requesting a table of size two per hour is calculated by taking the percentage of parties requesting a table of size two out of the total arrival rate. In this case, 50% of the parties require a table of size two. So, the arrival rate for parties requesting a table of size two is 0.5 * 24 = 12 parties per hour.

b) The total arrival rate of parties requesting tables of any size per hour is simply the sum of the arrival rates for each table size. In this case, we have an arrival rate of 12 parties per hour for tables of size two, 40% of the parties require a table of size four (which corresponds to an arrival rate of 0.4 * 24 = 9.6 parties per hour), and 10% of the parties request a table of size six (which corresponds to an arrival rate of 0.1 * 24 = 2.4 parties per hour). Adding these arrival rates together gives a total arrival rate of 12 + 9.6 + 2.4 = 24 parties per hour.

c) The average number of parties requesting a table of size four per hour is calculated by taking the percentage of parties requesting a table of size four out of the total arrival rate. In this case, 40% of the parties require a table of size four. So, the average number of parties requesting a table of size four per hour is 0.4 * 24 = 9.6 parties per hour.

d) The average number of parties waiting for a table of size four is given as 2 parties. This means, on average, there are 2 parties waiting for a table of size four at any given time.

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Answer:

1

Step-by-step explanation:

when it's just x by itself, the coefficient is always 1. But when solving the equation, you do 3x+3*3. So not sure what you mean. When you solve it you multiply x by 3. But in that equation right now it's 1

the equation (\(x^2 + 3x - 10 = 0\)) has both 2 and -5 as solutions. Therefore the correct option is a.

To determine which equation(s) have both 2 and -5 as solutions, substitute these values into each equation and see if they satisfy the equation. Let's check each option:

a. \(x^2 + 3x - 10 = 0\)

Substituting x = 2:

\((2)^2 + 3(2) - 10 = 4 + 6 - 10 = 0\)

Substituting x = -5:

\((-5)^2 + 3(-5) - 10 = 25 - 15 - 10 = 0\)

Both 2 and -5 satisfy the equation, so option a has both 2 and -5 as solutions.

b. \(x^2 - 3x - 10 = 0\)

Substituting x = 2:

\((2)^2 - 3(2) - 10 = 4 - 6 - 10 = -12\)

Substituting x = -5:

\((-5)^2 - 3(-5) - 10 = 25 + 15 - 10 = 30\)

Neither 2 nor -5 satisfy the equation, so option b does not have both 2 and -5 as solutions.

c. \(x^2 + 7x + 10 = 0\)

Substituting x = 2:

\((2)^2 + 7(2) + 10 = 4 + 14 + 10 = 28\)

Substituting x = -5:

\((-5)^2 + 7(-5) + 10 = 25 - 35 + 10 = 0\)

Only -5 satisfies the equation, so option c does not have both 2 and -5 as solutions.

d. \(x^2 - 7x + 10 = 0\)

Substituting x = 2:

\((2)^2 - 7(2) + 10 = 4 - 14 + 10 = 0\)

Substituting x = -5:

\((-5)^2 - 7(-5) + 10 = 25 + 35 + 10 = 70\)

Only 2 satisfies the equation, so option d does not have both 2 and -5 as solutions.

In conclusion, the equation in option a (\(x^2 + 3x - 10 = 0\)) has both 2 and -5 as solutions.

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Probability of duration at least 2 hours: 0.4232, Probability of duration at most 3 hours: 0.5914, Probability of duration between 2 and 3 hours 0.1682,  Probability of duration exceeding mean by more than 3 standard deviations: 0.0013,

Probability of duration being less than mean by more than one standard deviation: 0.1573

Based on the data collected at the airport, rainfall duration follows an exponential distribution with a mean value of 2.455 hours. We can use this information to answer the following questions:

(a) To find the probability that the duration of a rainfall event is at least 2 hours, we can calculate the cumulative distribution function (CDF) of the exponential distribution. The probability can be found by subtracting the CDF value at 2 hours from 1, which represents the complementary probability.

Similarly, to find the probability that the duration is at most 3 hours, we can calculate the CDF at 3 hours. Finally, to find the probability that the duration is between 2 and 3 hours, we subtract the CDF value at 2 hours from the CDF value at 3 hours.

(b) To determine the probability that rainfall duration exceeds the mean value by more than 3 standard deviations, we need to calculate the z-score for 3 standard deviations and find the corresponding probability using the standard normal distribution.

Similarly, to find the probability that the duration is less than the mean value by more than one standard deviation, we calculate the z-score for -1 standard deviation and find the corresponding probability.

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Answer:

The third one

Step-by-step explanation:

Median - Middle number in terms of value

Mode - outcome that appears the most

Mean - average ( add the numbers together and divide that by the amount of numbers )

Data without Kevins score

13, 21, 28, 9, 31

First let's find the mean

To find the mean we simply add the numbers up and divide that by the total amount of numbers ( there are 5 numbers )

13 + 21 + 28 + 9 + 31 = 102

102/5=20.4

So the mean without Kevins score is 20.4

Next let's find the mode

The mode is the number that appears the most

Looking at the data no number appears more than once so there is no mode

Finally let's find the median.

To make it easier to find let's list the numbers in order from least to greatest

9, 13 , 21 , 28, 31

We then go to the middle number ( which would be 21 )

The mode is 21

So for data without Kevins score the mean would be 20.4, the median would be 21 and the mode would be none

Now let's add in Kevin's score and repeat this process

Data with Kevin's score

13, 21, 28, 9, 31, 9

First let's find the mean

( Note that there is 6 numbers this time )

13 + 21 + 28 + 9 + 31 + 9 = 111

111/6 = 18.5

So mean with Kevin's score = 18.5

Next let's find the mode

The number 9 appears the most so the mode is 9

Finally let's find the mean

Once again let's list the numbers from least to greatest

9, 9, 13 , 21 , 28, 31

Because there is an even amount of numbers we will take the sum of the two middle numbers and divide that by 2

The two middle numbers would be 21 and 13

21 + 13 = 34

34/2=17

So median = 17

In the end we get the following

Without Kevins score

Mean = 20.4

Median = 21

Mode = none

With Kevin's score

Mean = 18.5

Median = 17

Mode = 9

This information corresponds with the third table

Answer:

3 to 1

Step-by-step explanation:

its

Answer:

x = 99,53633682

Step-by-step explanation:

sin(34) = x/178

x = sin(34)×178

x = 99,53633682

Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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Answer: Shade 10 of the pieces.

Step-by-step explanation: To figure this out, divide 15 by 3(5) and then multiple 5 by two and you will get 10!

Answer: You need to shade 10 of the pieces.

Take 15/3 and get 5

Then take 5 * 2 and get 10

Step-by-step explanation:

Answer:

It looks like you are trying to find the retail price for a given quantity of pairs. To write an equation that could be used to find the retail price for each range of quantities, you will need to know the following information:

The retail price for the first range (0-20 pairs)

The retail price for the second range (21-40 pairs)

The retail price for the third range (41-60 pairs)

The retail price for the fourth range (61-80 pairs)

The retail price for the fifth range (81 or more pairs)

Once you have this information, you can use an if-then statement to create an equation that will work consistently for each range. The equation might look something like this:

if (quantity >= 0 and quantity <= 20):

retail_price = price for 0-20 pairs

elif (quantity >= 21 and quantity <= 40):

retail_price = price for 21-40 pairs

elif (quantity >= 41 and quantity <= 60):

retail_price = price for 41-60 pairs

elif (quantity >= 61 and quantity <= 80):

retail_price = price for 61-80 pairs

else:

retail_price = price for 81 or more pairs

This equation will work consistently for each range because it uses a series of conditions to determine which retail price to use based on the quantity of pairs.

EDIT:

To find the retail price for a given quantity of pairs based on the wholesale prices you provided, you can use the following equation:

if (quantity >= 0 and quantity <= 20):

retail_price = 25.00

elif (quantity >= 21 and quantity <= 40):

retail_price = 23.00

elif (quantity >= 41 and quantity <= 60):

retail_price = 21.00

elif (quantity >= 61 and quantity <= 80):

retail_price = 19.00

else:

retail_price = 17.00

This equation will work consistently for each range because it uses a series of conditions to determine the retail price based on the quantity of pairs. The retail price will be 25.00 for quantities in the first range (0-20 pairs), 23.00 for quantities in the second range (21-40 pairs), 21.00 for quantities in the third range (41-60 pairs), 19.00 for quantities in the fourth range (61-80 pairs), and 17.00 for quantities in the fifth range (81 or more pairs).

Step-by-step explanation:

The product of the slopes of the three sides of the triangle, we need to determine the slopes of each side. Therefore, the product of the slopes of the three sides of the triangle is -1, which corresponds to option B.

Given that the hypotenuse of the right triangle is along the line y = 7x - 1, we can determine its slope by comparing it to the slope-intercept form, y = mx + b. The slope of the hypotenuse is 7.

Since the right angle of the triangle is at the origin, one side of the triangle is a vertical line along the y-axis. The slope of a vertical line is undefined.

The remaining side of the triangle is the line connecting the origin (0,0) to a point on the hypotenuse. Since this side is perpendicular to the hypotenuse, its slope will be the negative reciprocal of the hypotenuse slope. Therefore, the slope of this side is -1/7.

To find the product of the slopes, we multiply the three slopes together: 7 * undefined * (-1/7). The undefined slope doesn't affect the product, so the result is -1.

Therefore, the product of the slopes of the three sides of the triangle is -1, which corresponds to option B.

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Answer:

they trained arrived at 9:25pm

Answer:

9:25

Step-by-step explanation:

7:15 + 2 hours and 10 minutes

The columns of A are linearly independent if and only if A has n pivot columns.

Fill in the blank:

If A is an m x n matrix, then the columns of A are linearly independent if and only if A has n pivot columns.

Explanation:

A pivot column of a matrix A is a column that contains a pivot element in the row echelon form of A.

In other words, a pivot column is a column that has a leading non-zero entry in the row echelon form of A.

Suppose A is an m x n matrix with columns. \(a1, a2, ..., an\).

If the columns of A are linearly independent, then there is no non-trivial solution to the equation. \(c1a1 + c2a2 + ... + cnan\) \(= 0\), where \(c1, c2, ..., cn\)are not all zero.

This implies that the coefficient matrix.\([a1, a2, ..., an]\)has full rank n, and so the row echelon form of A has n pivot columns.

Tthe row echelon form of A has n pivot columns, then the coefficient matrix [a1, a2, ..., an] has full rank n.

This implies that the columns of A are linearly independent, because if there were a non-trivial linear combination of the columns of A that gave the zero vector, then the coefficient matrix would not have full rank n.

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Answer:

Step-by-step explanation:

Area of the coin:

\(A_c = d\pi\\\\A_c = 2.8\pi\approx8.8\ cm^2\)

So area of the ring:

A = 8.8 - 2.0 = 6.0 cm²

Answer:

4.15

Step-by-step explanation:

d = 2.8cm,  a = 1.4cm

a = πr2

a = 3.14 * 1.42

a = 3.14 * 1.96

a = 6.15cm2

6.15 - 2 = 4.15

The area of the nickel ring is 6.15cm2