PLEASE HELPPPPPPPP....?.......
If a+b=15 and ab=54 then find
1)
\( {a}^{2} + {b}^{2} \)
2)
\((a - b )^{2} \)
3)
\(a ^{2} - {b}^{2} \)
​

There are a total of 56 different ways that 5 cellular telephones can be selected from 8 cellular phones.

This can be calculated using the combination formula:

C(n,k) = n! / (k! * (n-k)!)

where n is the total number of items, and k is the number of items being selected.

Plugging in the values for this problem:

C(8,5) = 8! / (5! * (8-5)!)

= 8! / (5! * 3!)

= (8 * 7 * 6 * 5!)/ (5! * 3!)

= (8 * 7 * 6)/ (3 * 2 * 1)

= 56

Therefore, there are 56 different ways that 5 cellular telephones can be selected from 8 cellular phones.

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we are asked to determine the surface area of the figure. To do that we need to find the areas of each face and add them together. The front face is a trapezoid, and its area is:

Where "b" is the upper base, "B" is the lower base and "h" is the height. Replacing the values:

Solving the operations:

the upper face is a rectangle, its area is the product of its side:

The area of the lower face is also a rectangle, therefore its area is:

The side face is also a rectangle, and its area is:

Now we add the areas having into account that the front and side faces repeat themselves. the total surface area is:

replacing the values:

Solving the operations:

Therefore, the surface area is 286 square feet.

The measure of central tendency that is used by the professor is; Mode

A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within that set of data. The types of measures of central tendency are;

1) Mean; This is defined as the average value of a given set of data.

2) Median: This is defined as the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.

3) Mode: This refers to the value in a given set of data that has highest occurrence frequency.

In this case, the professor notes that most students in his class earned a grade of b. Thus, this is the mode.

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A. My sister is a graduate of Polytechnic University and a border services officer who lives in North Delta.
B. Yesterday, Jasmine left to visit her friend in Alberta.
A. They listened to relaxing music while they did their homework, which helped them concentrate.
B. To help them focus on their homework, they listened to relaxing music.

Combining sentences is a useful writing technique that helps make sentences concise and easy to read. Combining two or more sentences into one sentence can also help to create smoother transitions between ideas. When combining sentences, it is important to make sure the sentence remains grammatically correct, and to retain important information from the original sentences.

Another way to combine sentences is to delete certain words or phrases. For example, in the sentence “Yesterday, Jasmine left to visit her friend in Alberta”, the phrase “yesterday” can be removed without changing the meaning of the sentence.

You can also combine sentences by changing the order of the words. For example, in the sentence “They listened to relaxing music while they did their homework, which helped them concentrate”, the order of the words can be changed to “They did their homework while they listened to relaxing music, which helped them concentrate”.

Finally, it is important to make sure that the sentence remains grammatically correct. When combining sentences, it is important to make sure that the sentence still has a subject and verb, and that the verb is still in the correct tense.

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The monthly payment would be $3,121.06.

This question provides the total amount of interest that will be paid over the life of the loan, but we still need to calculate the monthly payment amount based on the loan amount and interest rate. To do this, we can use the formula for a fixed-rate mortgage:

P = (Pv * r) / (1 - (1 + r)^(-n))

where:

P is the monthly payment

Pv is the present value of the loan ($100,000 in this case)

r is the monthly interest rate (which we'll need to calculate)

n is the total number of payments (35 years, or 420 months)

Let's start by solving for the monthly interest rate. Since we're given the total amount of interest paid over the life of the loan, we can subtract the loan amount from the total amount paid to get the total amount of interest:

Total interest = $450,000

Loan amount = $100,000

Total amount paid = Loan amount + Total interest

Total amount paid = $550,000

Total interest paid = Total amount paid - Loan amount

Total interest paid = $550,000 - $100,000

Total interest paid = $450,000

Now we can calculate the monthly interest rate using the total interest paid and the loan amount:

Monthly interest rate = Total interest paid / (Loan amount * n)

Monthly interest rate = $450,000 / ($100,000 * 420)

Monthly interest rate = 0.01071429

Finally, we can plug in all the values into the formula to find the monthly payment:

P = ($100,000 * 0.01071429) / (1 - (1 + 0.01071429)^(-420))

P = $3,121.06

Rounding to the nearest hundredth, the monthly payment would be $3,121.06.

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Answer:

c. y=4x+24

Step-by-step explanation:

To identify the equation, the equation must satisfy the points (-5,3).

putting x as -5 should give us y=3

c. y = 4x + 23

y = 4 * (-5) + 23

y = -20 + 23

y = 3

\(\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}\)

Identify an equation in slope-intercept form for the line parallel to y = 4x - 9

that passes through (-5,3).

\(\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\)

If lines are parallel to each other, they have the same slope.

If a line is parallel to \(\bold{y=4x-9}\), and the slope of this line is 4, then the slope of the line that's parallel to \(\bold{y=4x-9}\) also has a slope of 4.

All right, we know the slope, but that's part of the slope-intercept equation,

We also need to identify the y-intercept; one way to find it (the one I always use) is the point-slope form.

Point-slope form looks like so:-

\(\longmapsto\sf{y-y_1=m(x-x_1)}\)

Replace y1 with 3, m with 4, and x1 with -5:-

\(\longmapsto\sf{y-3=4(x-(-5)}\)

On simplification,

\(\longmapsto\sf{y-3=4(x+5)}\)

On further simplification,

\(\longmapsto\sf{y-3=4x+20}\)

On further simplification,

\(\longmapsto\sf{y=4x+20+3}\)

Final equation:-

\(\longmapsto\sf{y=4x+23}\)

\(\rule{300}{1}\)

When teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home, the following statements should be included to ensure proper usage and safety.

When instructing the client on the use of sublingual nitroglycerin (SL NTG) for chest pain relief at home, it is essential to cover the following key points:

1. Purpose and indication: Explain that SL NTG is used to relieve angina or chest pain caused by coronary artery disease. Emphasize that it is not meant for prevention but for immediate relief during an episode of chest pain.

2. Proper administration technique: Instruct the client to place the tablet or spray under the tongue and allow it to dissolve or spray it onto or under the tongue. Advise against swallowing or chewing the medication.

3. Dosage and frequency: Specify the appropriate dosage and how frequently the medication can be taken, as prescribed by their healthcare provider. Highlight the importance of following the prescribed dosage and not exceeding the recommended frequency.

4. Response time: Explain that SL NTG acts quickly and should provide relief within a few minutes. Inform the client to seek emergency medical assistance if the chest pain persists or worsens after taking one dose of SL NTG.

5. Storage and expiration: Educate the client on proper storage conditions, such as keeping the medication in its original container, away from light and moisture. Emphasize the importance of regularly checking the expiration date and replacing the medication when it expires.

6. Side effects and precautions: Discuss potential side effects such as headaches, dizziness, and low blood pressure, and advise the client to report any concerning or persistent side effects to their healthcare provider. Stress the importance of informing healthcare providers about the use of SL NTG before undergoing any medical procedures or taking other medications.

7. Emergency instructions: Instruct the client to call emergency services immediately if they experience severe chest pain or if their symptoms do not improve after taking SL NTG.

By providing clear instructions and addressing these important points, the client can effectively and safely use sublingual nitroglycerin for chest pain relief at home. However, it is crucial to consult with a healthcare professional for personalized guidance and to ensure proper usage based on the client's specific medical condition and needs.

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Answer:

1/8

Step-by-step explanation:

Answer:

8/1

Step-by-step explanation:

If we evaluate the expression it will look like:

P = 8*1

if we solve it :

p=(1)(8)

Step 1: Simplify both sides of the equation.

p=8  

( 8 is same as 8/1 in fraction )

have a wonderful day

The number of children take greek and hebrew = 2

In this question, we have been given that in a class of 30 children, 20 take latin, 14 take greek, and 10 take hebrew.

So, n(s) = 30

Let set a: children taking Latin language

n(a) = 20

set b: children taking Greek language

n(b) = 14

set C: children taking Hebrew language

n(c) = 10

no child takes all three languages

⇒ n(a ∩ b ∩ c) = 0

And eight children take no language

⇒ n(S) -  n(a ∪ b ∪ c) = 8

So, n(a ∪ b ∪ c) = 8

This means, 22 children taking languages.

Of those 22 kids, 14 take Greek and 10 take Hebrew.

14+10 = 24

This means, at least 2 children must taking Greek and Hebrew.

Since no child takes all three languages, the children taking Greek and Hebrew can't be taking Latin. Since 20 of the 22 kids are taking Latin, that means at most 2 are taking Greek and Hebrew.

Therefore, 2 children take greek and hebrew

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The mean is the measure of the central tendency most likely to be affected by an outlier.

The following statement is correct.

The term "mean" is another synonym for "average." When there is an outlier in the data set, the mean suffers the most. The only measure of central tendency on which an outlier will always have an effect is the mean.

The mean is the only measure of central tendency that is affected by all values since it is calculated by dividing the total of the values by the number of observations.

The arithmetic mean is the average quantity in a given set of data. It is defined as the sum of all observations in the data divided by the total number of observations in the data. As a result, because it comprises all of the data in a series, the mean is influenced by the extreme values.

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Answer:

Step-by-step explanation:

1  is 28

2 is 24

3 is 7

4 is 9

Answer:

Retrial, Guilty, and Innocent

Step-by-step explanation:

Khan Academy

Answer:

r = 76°

Step-by-step explanation:

61° + 43° + r = 180° { <'s on a straight line are supplementary}

104+r=180

r = 180-104

r = 76°

Answer:

\(\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3\)

Step-by-step explanation:

Given

\(4^3, \sqrt{40}, \sqrt{13}, \frac{14}{9}, \sqrt 7\)

Required

Order from least to greatest

First, we solve for each expression

\(4^3 = 64\)

\(\sqrt{40} = 6.32\)

\(\sqrt{13} = 3.61\)

\(\frac{14}{9} = 1.56\)

\(\sqrt{7} = 2.66\)

From least to greatest, we have:

\(1.56, 2.66. 3.61, 6.32, 64\)

Hence, the list is:

\(\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3\)

Step-by-step explanation:

5x90=450

700-450=250

250/5=50

50 more tickets.

i don't know if that's in an inequality form or not. but that's how many tickets

Answer:

Population: A) All woman in the country

Step-by-step explanation:

Sample: A) The 1004 woman selected

a) For chi-squared distribution with v=3 degrees of freedom, the statistic that can be constructed using Xi's is:

X2 = Σ i=1 3 (Xi − i)2 / 3.

X2 has chi-squared distribution with 3 degrees of freedom.

b) For t-distribution with v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

T = (X1 − 1) / [(X2/2)0.5].

T has t-distribution with 2 degrees of freedom.

c) For F-distribution with v1=1 and v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

F = [(X1 − 1)/1] / [(Σi=2 to 3 Xi2) / 2].

F has F-distribution with 1 and 2 degrees of freedom.

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The male long jumper's jump, which ranked in the 75th percentile, was approximately 272.436 inches long.

To find the length of the male long jumper's jump at the 75th percentile, we can use the concept of z-scores and the standard normal distribution.

The 75th percentile corresponds to a z-score of 0.674. Using this z-score, we can calculate the distance of the jump by multiplying it by the standard deviation and adding it to the mean:

Distance = (z-score * standard deviation) + mean

Distance = (0.674 * 14) + 263

Distance ≈ 9.436 + 263

Distance ≈ 272.436

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Answer:

ok so first they drove 55 for 3 hours so

55*3=165

and then they drove 45 for 2 hours

45*2=90

165+90=255

so in total they drove 255 miles

Hope This Helps!!!

The solution is : 255 miles total miles did the Ramos family drive.

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

here, we have,

given that,

The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours.

we get,

Journey before lunch:

Speed = 55 mph

Time = 3 hrs

distance = 55*3 = 165 miles.

Journey after lunch:

Speed = 45 mph

Time = 2 hrs

distance = 45 * 2 = 90 miles

Total miles driven

= distance traveled before lunch + distance traveled after lunch

= 165 miles + 90 miles

= 255 miles

Therefore, the Ramos family drove 255 miles in total.

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Answer:

Step-by-step explanation:

Let the first number be x

Let the second number be y

For the first equation

One number is 7 less than 3 times the second number is written as

x = 3y - 7

For the second equation

The sum of the two numbers is 29

So we have

x + y = 29

Substitute the first equation into the second one

That's

3y - 7 + y = 29

4y = 29 + 7

4y = 36

Divide both sides by 4

Substitute y = 9 into x = 3y - 7

That's

x = 3(9) - 7

x = 27 - 7

The numbers are 20 and 9

Hope this helps you

Answer:

V = 72 cm³

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the area of the triangular face and h is its height )

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

here b = 12 and h = 6

A = \(\frac{1}{2}\) × 12 × 6 = 6 × 6 = 36 cm² , then

V = 36 × 2 = 72 cm³

Answer:

b

Step-by-step explanation:

The answer is B) (x² + 3x) (x² + 4x).

What is polynomial?

A polynomial is an expression made up of variables (also known as indeterminates) and coefficients that includes only addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

The factored form of the polynomial can be found by identifying the factors of each group of tiles and writing the expression in factored form. From the diagram, we can see that:

(x² + 3x) = x(x + 3)

(x² + 4x) = x(x + 4)

Therefore, the polynomial in factored form is:

A(x² + 3x)(x² + 4x) + 6 = A(x(x + 3))(x(x + 4)) + 6 = A(x + 3)(x + 4)x² + 6

So the answer is B) (x² + 3x) (x² + 4x).

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Step-by-step explanation:

A rectangular prism is nothing but a cuboid. Let the length , width and height of the  rectangular prism be l, w and h.

We know that volume of a cuboid V = l×w×h

So,  l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

Answer:

= 4(2x +1)

= 4× 2x + 4×1

= 8x +4

Answer:

4*(2*x+1)

Step-by-step explanation:

Simplified we would write it as,

8x + 4, but we want to expand, so we would write out each operation being performed.

64 unique extensions are there with no repeated digits.

Combinations are decisions that are made by choosing some or all of a group of objects, regardless of how they are arranged.

For the 3-digit area code, the first digit can be any digit from 2 through 9, and each of the two digits that follow can be any digit from 0 through 9. That's a total of 8 × 10 × 10 = 800 different combinations.

Given:

A school district telephone system has three-digit extensions.

So,  first digit cannot be zero then we have possibility of total 8 digits.

and the last number is a nine.

unique extensions are there with no repeated digits

= 8 x 8 x 1

= 64

Hence, 64 unique extensions are there with no repeated digits.

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Answer:

Step-by-step explanation:

The first one is equal to.  203/203 is equal to 1.  1 times any number is itself.

The second on is less than.  9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.

This is the dual problem corresponding to the given primal LP problem.

To find the dual problem of the given linear programming (LP) problem, we need to follow these steps:

Step 1: Convert the LP problem to standard form.

The given LP problem is already in standard form.

Step 2: Identify the decision variables.

The decision variables in the primal problem are y1, y2, and y3.

Step 3: Write the objective function and constraints of the primal problem in matrix form.

The objective function: Minimize 6y1 + 3y3 can be written as:

Minimize c^T*y, where c = [6, 0, 3] and y = [y1, y2, y3]^T.

The constraints:

y1 - 3y3 = 30 can be written as:

Ay = b, where A = [1, 0, -3] and b = [30].

6y1 - 3y2 + y3 ≥ 25 can be written as:

Ay ≥ b, where A = [6, -3, 1] and b = [25].

3y1 + 4y2 + y3 ≤ 55 can be written as:

Ay ≤ b, where A = [3, 4, 1] and b = [55].

Step 4: Transpose the matrices A, c, and b.

Transpose A to obtain A^T, transpose c to obtain c^T, and transpose b to obtain b^T.

A^T = [1, 6, 3; 0, -3, 4; -3, 1, 1]

c^T = [6, 0, 3]

b^T = [30, 25, 55]

Step 5: Write the dual problem using the transposed matrices.

Maximize b^T * u, subject to A^T * u ≤ c^T and u unrestricted in sign.

The dual problem for the given primal problem is:

Maximize 30u1 + 25u2 + 55u3

subject to:

u1 + 6u2 + 3u3 ≤ 6

-3u2 + u3 ≤ 0

u1 + 4u2 + u3 ≥ 3

u1, u2 unrestricted in sign, u3 ≤ 0

This is the dual problem corresponding to the given primal LP problem.

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