Write the expression as a product of polynomials.

a(p-q)+q-p

Answers

Answer 1

Answer:

(p-q)(a-1)

Step-by-step explanation:

Hi there!

a(p-q)+q-p

= ap-aq+q-p

= ap-p-aq+q

Factor out p and q

= p(a-1)-q(a-1)

Factor by grouping

= (p-q)(a-1)

I hope this helps!


Related Questions

What is -5 5/8+ 3 1/2

Answers

It is -2 1/8

Hope it is correct!

A map has a scale of 1 cm : 9 km. If two cities are 2 centimeters apart on the map, what is the actual distance between the cities?

Answers

Answer:

18 kilometers

Step-by-step explanation:

If each 1 cm represents 9 kilometers.

How many would 2 cm represent?

\(x = \frac{9 \times 2}{1} = 9 \times 2 = 18\)

ASAP Solve 1/9 (3/5) - 1/5 (7/3)=?

ASAP Solve 1/9 (3/5) - 1/5 (7/3)=?

Answers

It would be 6/15 or 2/5

what is
(588/2)9=n
a)n=294
b)n=2646
c)n=1323

Answers

Answer:

b)

Step-by-step explanation:

9 × (588/2)

= 9 × (294)

= 2646

*URGENT*

I’ve been doing this problem over and over but i have a feeling i’m wrong, please help!!

*URGENT* Ive been doing this problem over and over but i have a feeling im wrong, please help!!

Answers

\(\it tan60^o=\dfrac{AB}{BC} \Rightarrow \sqrt3=\dfrac{AB}{50} \Rightarrow AB=50\sqrt3\approx50\cdot1,732\approx87\ m\)

Based on the data, which table shows a proportional relationship?

Answers

Based on the data, table that shows a proportional relationship is the first table.

What is proportional?

Data is said to be proportional if it increases or decreases at a constant rate.

What table has proportional data?

The first table has proportional data because the height increases by 5 centimeters everyweek, which shows a constant rate.

Note: This question is incomplete; below I attach the missing section:

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Based on the data, which table shows a proportional relationship?

Here is some information about a group of 20 children.
Boys
Girls
3
2

Left-handed
Right-handed

9

6

A child is chosen at random from the group.

a
What is the probability that the chosen child is a girl?
Give your answer as a fraction.
B
What is the probability that the chosen child is a left-handed girl?
Give your answer

Answers

The probability that a girl is chosen is 1/10 and the probability that a left-handed girl is chosen is 11/20.

Probability may be defined as the possibility of occurrence of an event. Probability of an event can be 0 or 1 but it can never be negative. If probability is 0 then the event will not occur and if probability is 1 then the event will definitely occur. Probability is given by the formula.

Probability = Favorable outcomes/Total number of outcomes.

Here, total number of outcomes = 20.

Now in the first case we need to find probability of picking a girl so favorable outcome is 2.

Probability of picking a girl = 2/20

Probability of picking a girl = 1/10

In the second case we need to find probability of picking a left-handed girl, so the favorable outcomes are 2 + 9 = 11 as total number of girls are 2 and total number of left-handed people are 9.

Probability of picking left-handed girl = 9 + 2/20

Probability of picking left-handed girl = 11/20

Thus, probability that a girl is chosen is 1/10 and the probability that a left-handed girl is chosen is 11/20.

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The hypotenuse is 8 inches. The side opposite angle X is 7 inches. Angle X = ?

Answers

Step-by-step explanation:

In the picture.

The answer is X = 61°

The hypotenuse is 8 inches. The side opposite angle X is 7 inches. Angle X = ?

rearrange the following linear equation into y=mx+b form and identify the slope and the y intercept 2y=2x+6

Answers

Answer:

Step-by-step explanation:

we need the equation to be like y=mx+b so we have to simplify our equation

2y=2x+6

divide everything by 2

so it’s y=x+3 and that’s ur answer

A nurse provides a back massage as a palliative care measure to a client who is unconscious, grimacing, and restless. Which of the following findings should the nurse identify as indicating a therapeutic response? (Select all that apply.)
A. the shoulders droop
B. the facial muscles relax
C. the RR increases
D. the pulse is within the expected range
E. the client draws his legs into a fetal position

Answers

A nurse provides a back massage as a palliative care measure to a client who is unconscious, grimacing, and restless.

The therapeutic response that the nurse should identify in the client after a back massage includes relaxing of facial muscles and the pulse remaining within the expected range.
Massage is a fundamental nursing measure that is often utilized as part of palliative care for patients. The purpose of back massage is to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nursing assessment of the patient before and after the massage is essential to determine its effectiveness as a therapeutic intervention for the patient.
When providing back massage as a palliative care measure to an unconscious, grimacing, and restless client, the nurse should identify several therapeutic responses as follows;
The shoulders droop: The nurse should expect the shoulders of the client to relax during massage therapy. If this occurs, it is a sign that the patient is experiencing relaxation and tension relief.
The facial muscles relax: Relaxation of the facial muscles is a common therapeutic response during back massage. The nurse should observe the patient's face for any signs of relaxation, which may include softening of facial lines, eyelids drooping, or a general expression of peacefulness.
The respiratory rate (RR) decreases: The nurse should expect the client's respiratory rate to decrease during a back massage. This is because relaxation stimulates the parasympathetic nervous system, resulting in decreased respiratory rate, heart rate, and blood pressure.
The pulse is within the expected range: The nurse should expect the client's pulse to remain within the expected range during a back massage. A normal pulse rate is between 60-100 beats per minute for adults. If the pulse remains within this range, it is a sign that the patient is responding positively to the massage therapy.

In conclusion, providing back massage as a palliative care measure to an unconscious, grimacing, and restless client can help to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nurse should identify therapeutic responses in the patient during the massage therapy, which may include relaxation of the shoulders, facial muscles, decreased respiratory rate, and pulse remaining within the expected range.

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13 POINTS NEED THE ANSWERS TO THESE 2 PROBLEMS

13 POINTS NEED THE ANSWERS TO THESE 2 PROBLEMS

Answers

Answer:

9) 30 years

10) line passing through points AB and BC are perpendicular

Step-by-step explanation:

9) p = 5t + 150    

Current pop. (in thousands) is 150

Double pop. (in thousands) is 300

300 = 5t + 150

150 = 5t

t = 30

10) line passing through points AB and BC are perpendicular because their slopes are opposite and reciprocal

slope of AB = 3

slope of BC = -1/3

What number groups does -2 belong in?​

Answers

Answer:

real , rational and integer

Step-by-step explanation:

it is an integer because all the negative numbers and positive numbers belong to the group integers

it is a rational number because  rational numbers are divided into 3 groups which are natural numbers , whole numbers, and integers

it is a real number because real numbers are divided into two rational and irrational numbers

                                      number system

real numbers                                                              imaginory numbers

rational numbers        irrational numbers

whole numbers ,natural numbers, integers

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

\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond\)

                    What number groups does -2 belong in?

\(\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond\)

First, let's take a look at some number groups.

      The first one is:-

          ❖ Natural numbers. This set consists of positive numbers only.

       ◈ Example:- 4, 6, 12, 436... any positive number is included in the "Natural numbers" set.

The next set is:-

      ❖ Whole numbers. This set includes all natural numbers plus zero.

Negative numbers are still not included.

The next set is:-

 

   ❖ Integers. This set includes all whole numbers plus negative numbers. Fractions are not included in this set.

The next set does include fractions, and it's called

    ❖ Rational numbers. This set consists of integers and, as I mentioned before, fractions.

Another number set is as follows:-

   ❖ Irrational numbers. This set includes numbers that cannot be expressed as fractions, like \(\bold{\sqrt{2}}\), or you may have heard of \(\pi\), which is also irrational, meaning that we cannot express π as a fraction, because it has an infinite number of digits after the decimal point.

Finally, the set that includes all numbers (or almost all) is called:-

    ❖ Real numbers. This set includes rational, irrational numbers, integers... almost everything.

There's another set of numbers:-

   ❖ Imaginary numbers. This set consists of numbers that were imagined. Such numbers come in handy when it comes to solving some equations, like \(\bold{x^2=-1}\). They are also called "complex numbers".

Now that we know all the sets of numbers, let's answer this question:-

\(\textsf{ What number groups does -2 belong in?}\)

First, it's negative, so it's not a whole number or a natural one.

It is an integer, because negative numbers are included in the "integers" set.

It can be expressed as a fraction, which is as follows:-

❖ \(\bold{-\dfrac{2}{1}}\)

So we conclude that -2 is:-

an integer ✓a rational number ✓ a real number  ✓

◔Good luck.◆

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

I WILL MARK BRAINLIST

Which expressions are equivalent to 5x-15? Select three options.
O 5(x+15)
O 5(x-3)
O 4x+3y-15-3y+X
O -7y-6x-8y + x
O -20-3x+5+8x

Answers

B, C , and D i believe



Which angle is not necessarily congruent to 1?

Answers

Answer:

12

Step-by-step explanation:

the answer is just 12.

Which expressions are equivalent to 2^5/6^5
Choose 2 answers
A. 1/3
B. 3^-5
C. (-4)^-5
D. 2^5 x 6^-5​​

Answers

Answer:

B. 3^(-5) and D. 2^5 × 6^(-5)

Step-by-step explanation:

Recall that \(\displaystyle\\x^{-n}=\frac{1}{x^n}\)

Manipulating, we get:

\(\displaystyle \\\frac{2^5}{6^5}=\left(\frac{2}{6}\right)^5=\left(\frac{1}{3}\right)^5=\boxed{\text{B. }3^{-5}}=2^5\cdot \frac{1}{6^5}=\boxed{\text{D. }2^5\cdot 6^{-5}}\)

Answer choices B and D

Answer:

(B) 3^-5 and (D) 2^5 . 6^-5

Step-by-step explanation:

Researchers investigated whether there is a difference between two headache medications, R and S. Researchers measured the mean times required to obtain relief from a headache for patients taking one of the medications. From a random sample of 75 people with chronic headaches, 38 were randomly assigned to medication R and the remaining 37 were assigned to medication S. The time, in minutes, until each person experienced relief from a headache was recorded. The sample mean times were calculated for each medication. Have the conditions been met for inference with a confidence interval for the difference in population means? A Yes, all conditions have been met. B No, because the data were not collected using a random sample. © No, because cause and effect cannot be inferred since there is a random sample No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is approximately normal. (E) No, because the sample sizes are not the same.

Answers

The correct answer is option D. No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is approximately normal.Researchers investigated whether there is a difference between two headache medications, R and S.

Researchers measured the mean times required to obtain relief from a headache for patients taking one of the medications. From a random sample of 75 people with chronic headaches, 38 were randomly assigned to medication R and the remaining 37 were assigned to medication S. The time, in minutes, until each person experienced relief from a headache was recorded. The sample mean times were calculated for each medication.To construct a confidence interval, we require that some conditions are satisfied. The assumptions that should be met for inference with a confidence interval for the difference in population means are as follows:The data is independent;The data in each group should be roughly normally distributed;Both groups have the same variance, and each group should have a large enough sample size so that the central limit theorem (CLT) holds. The CLT holds for the difference in the sample means since both samples are taken from a population that is normally distributed. We can also assume that the sample size is large enough to use the t-distribution since each sample has more than 30 observations. As a result, all of the conditions have been met. As a result, we may employ a t-distribution to make inferences about the population difference between the two headache medications.

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please help with this

please help with this

Answers

Answer:

C

Step-by-step explanation:

You combine like terms and then order them according to their exponents (order)

Since the 4 has a negative but is going to get subtracted it becomes positive and therefore added

2\(x^5\) +(7x³ + 4x³) - 5x² = 2\(x^5\) + 11x³ - 5x²

Determine whether or not the following variable is a rank and give the units. Student ratings of a course on a 5-point Likert scale
B. The ratings are not ranks and have no units
C. The ratings are not ranks and the units are Likerts
D. The ratings are ranks and have no units

Answers

C. The ratings are not ranks and the units are Likerts.

In the context of student ratings of a course on a 5-point Likert scale, let's analyze the options further:

A. The ratings are ranks and have no units: In a ranking system, the responses would be ordered or ranked in a specific sequence. For example, if the students were asked to rank the course from best to worst, their responses would be assigned specific positions or ranks. However, in a Likert scale, the responses are not based on relative ranking but rather on levels of agreement or disagreement. Therefore, the ratings in this case are not ranks.

B. The ratings are not ranks and have no units: This option is accurate. The responses on a Likert scale do not represent ranks because they do not indicate a specific ordering or hierarchy. Each response on the 5-point Likert scale represents a different level of agreement or disagreement, rather than a rank.

C. The ratings are not ranks and the units are Likerts: This option is the most appropriate choice. Likert scales use response categories (e.g., strongly agree, agree, neutral, disagree, strongly disagree) instead of ranks. The units associated with this variable would be "Likerts" to indicate the scale used.

D. The ratings are ranks and have no units: This option is not applicable since the ratings on a 5-point Likert scale are not considered ranks.

Therefore, option C is the correct answer. The ratings on a 5-point Likert scale are not ranks, and the units associated with this variable are "Likerts" to represent the scale used.

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Find the distance around each figure.Use 3.14 for pi.

Find the distance around each figure.Use 3.14 for pi.
Find the distance around each figure.Use 3.14 for pi.

Answers

Answer:

13.) 257.08

14.) 33.57

Step-by-step explanation:

Assume you mean the perimeter.

The circumference is 2\(\pi\)r, then just add the extra measurements

The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price for 1 liter? 34 POINTS I MARK BRAINLIEST!

Answers

Answer:

We suppose that a is the old price in cents

the total cost of 9.20 $ equals 920 cents

so we have 20 liters bought with the old price (a) and 10 liters with the new price (a + 2). This is translated into this equation where a is the old price therefore our quest to be answered

20 xa + 10 x (a + 2) = 920 (cents)

20 xa + 10 xa + 20 = 920

30 xa + 20 = 920

30 xa = 920 - 20

30 xa = 900

a = 900: 30

a = 30 (cents)

therefore the old price for 1 liter of petrol is 30 cents

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

solve the inequality write the solution in interval notation

-x/3 < 5

Answers

The inequality expression given as -x/3 < 5 has a solution of x > -15

How to solve the inequality?

From the question, the inequality is given as

-x/3 < 5

The above inequality can be re-written as follows

-x/3 < 5

There is no constant to add or subtract in the expression

So, we start by multiplying both sides of the expression by a constant

Multiply both sides by 3

expression

-x < 15

Divide both sides by -1

So, we have the following representation

x > -15

Hence, the solution to the expression is x > -15

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How do you create a unique array?

Answers

Minimum Increment operations to make Array unique

Minimum Increment operations to make Array unique.Making elements distinct in a sorted array by minimum increments.Find sum of non-repeating (distinct) elements in an array.Find k closest numbers in an unsorted array.Find k closest elements to a given value.What does the unique function do in Excel?

The UNIQUE function will return an array, which will spill if it's the final result of a formula. This means that Excel will dynamically create the appropriate sized array range when you press ENTER .

How does ArrayList work?

ArrayList is like an array behind the scenes as it’s backed by an array of type java.lang.Object in java.

Normally arrays are fixed in size which means the number of elements that can be added are fixed and cannot be increased once created. ArrayList can dynamically increase in size once the array that backs is full so, these way we won’t encounter runtime exceptions.

When we say list.get(0), it’s equivalent to array[0]. It can be said the ArrayList is a kind of more convenient way to use dynamic arrays.

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Can anyone answer this?

Can anyone answer this?

Answers

To say that two or more angles are equal, we draw a little arc. If there are two arcs then it means that the angle with also two arcs marked is equal in measure, and so on

 --> so:

   ∠A ≅ ∠Y

   ∠B ≅ ∠Z

   ∠C ≅ ∠X

To say that two more sides are equal, we draw a little tic mark. If there are two tics then it means that the sides with also two tics marked are equal in length, and so on.

--> so:

    AB ≅ YZ

    AC ≅ YX

    BC ≅ ZX

And thus ΔACB ≅ ΔYXZ <-- we got this by matching corresponding angles of equal length

Hope it helps!

652 10(3) trying to determine platelet count from a test result.

Answers

The platelet count is 652 x 10^3.

How to determine platelet count?

Based on the information provided, it seems that the platelet count from a test result is 652, and the normal range for platelet count is 150,000 to 450,000 platelets per microliter of blood. The value "10(3)" likely refers to the measurement being in thousands.

To convert the measurement to the standard unit of platelet count, we need to multiply the given value by 1,000. Thus, 652 * 1,000 = 652,000 platelets per microliter.

It's important to note that platelet counts can vary depending on various factors, and medical professionals typically interpret the results in conjunction with other clinical information. If the obtained value of 652,000 platelets per microliter is accurate, it would be significantly higher than the upper limit of the normal range.

It's crucial to consult a healthcare professional or a qualified medical practitioner for an accurate interpretation of test results and any necessary medical advice or treatment.

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m<1 = (3x + 4)º
m<2 = (3x + 4)º
m<3 = 29°
m<4 = 34°
m<5 = 25°

m&lt;1 = (3x + 4)m&lt;2 = (3x + 4)m&lt;3 = 29m&lt;4 = 34m&lt;5 = 25

Answers

Answer: x = 44

Step-by-step explanation:

The exterior angles of a polygon add to 360 degrees so:

(3x+4)+(3x+4)+29+34+25=360 [forming equation]6x+96=360 [combine like terms]6x=264 [subtract 96 from both sides]x = 44 [divide both sides by 6]

What is the answer to 4(7.2 - x) x = 4

Answers

Answer:12.8

Step-by-step explanation:

4(7.2-4)

4(3.2)

12.8

Answer: If you evaluate i guess 12.8

Step-by-step explanation:

Please help!!! 20 points

Please help!!! 20 points

Answers

Answer:

4) 2xy(x^2-2x-8)  2xy(x-4) (x+2)

5) 3(x^2-9x-10   3(x+1) (x-10)

Step-by-step explanation:

11=3−4/3x solve for x

Answers

11 = 3 - 4/3x

11 = (9 - 4x)/3

33 = 9 - 4x

24 = -4x

24/4 = - x

x = -6

Please help! It’s late!

Please help! Its late!

Answers

Answer:

b.13 hope this helps. have a good night

Answer:

Answer is D or sqrt 97

Step-by-step explanation:

Pythagorean Thereom

Use side lengths 9 and 4

a^2+b^2=c^2

9^2+4^2=81+16=97

Answer is D or sqrt 97

Pls Mark Branliest if this helped :))

If y=a^n; then change in y/y= n(change in a/a)

Answers

So the final expression is: (change in y/y) = n (change in a/a).

We can start by taking the natural logarithm of both sides of the equation:

ln(y) = ln(aⁿ)

Using the rule that ln(aⁿ) = n ln(a), we can simplify this to:

ln(y) = n ln(a)

Next, we can take the derivative of both sides with respect to a:

d/d(a) ln(y) = d/d(a) (n ln(a))

Using the chain rule, we can simplify the right-hand side to:

d/d(a) ln(y) = n (1/a)

Now, we can multiply both sides by a/y:

a/y * d/d(a) y = n(a/y) * (1/a)

Simplifying, we get:

dy/y = n da/a

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