In the following exercises, multiply the binomials. Use any method.
247. (p + 12)(p − 5)

Answers

Answer 1

Answer:

Hence the expression [tex]$$(p+12)(p-5)=p^2+8p-60$$[/tex]

Step-by-step explanation:

Explanation

The given expression is (p+12)(p-5).We have to multiply the given expression.Multiply the (p+12) by -5, multiply the (p+12) by p then add like terms.

[tex]$$\frac{\begin{matrix}{} & {} & p & + & 12 \\ \times & {} & p & - & 5 \\ \end{matrix}}[/tex]

____________

[tex]{\frac{\begin{matrix}{} & - & 5p & - & 60 \\ {{p}^2} & + & 12p & {} & {} \\ \end{matrix}}{\begin{matrix}{{p}^2} & + & 8p & - & 60 \\ \end{matrix}}}$$[/tex]


Related Questions

The mean number of people per day visiting a museum in July was 140. If 20 more people each day visited the museum in august what was the mean number of people per day visiting in august

Answers

Answer:

80

Step-by-step explanation:

mean = 140+20=160

160/2

= 80

Answer: 160

Step-by-step explanation:

Just took it

Find in degrees.
8
V113
0
7
?] degrees
Round to the nearest hundredth.

Answers

Answer: θ≈48,81°.

Step-by-step explanation:

[tex]sin\theta=\frac{8}{\sqrt{113}}\\sin\theta } =\frac{8*\sqrt{113} }{\sqrt{113}*\sqrt{113} } \\sin\theta=\frac{8*\sqrt{113} }{113} \\sin\theta\approx0,75258\\\theta\approx48,81^0.[/tex]

Good luck an' have a nice day!

help me out with this question and i’ll give you brainly!!!

Answers

Answer:

the widths of the wire :)

Step-by-step explanation:

B because in this situation the dependent variable is how well the energy conducted. However, this is dependent on the width of the wire. Therefore, the independent variable is the width of the wire.

PLEASE HELP ME ASAPP

Answers

Answer:

The correct answer would be B) 2

Answer:

C 1/2

Step-by-step explanation:

Since the angels of these triangles are same,they are totally similar.

The ratios of their sides are

10/20=1/2

8/16=1/2

6/12=1/2

So, The scale factor is 1/2.

How many eight-character passwords can be formed with the 26 letters in the English alphabet, each of which can be in uppercase or lowercase, and the 10 digits

Answers

The number of possible passwords is 26^4 * 10^4.

We will make 4 picks from each category (letters and numbers).

We can duplicate them (i.e., pick each character more than once.)

so, for your 4 picks from the letters, you'll have

26 * 26 * 26 * 26 = 26^4 possible selections.

For each of these, you'll have 4 picks from the digits. Similar reasoning, this works out to

10^4 combinations of digits.

This means you'll have 26^4 * 10^4

Possible combinations of 4 letters and 4 digits, and, for each of these, you now need to work out how many unique ways to arrange them.

We will have 8 possible choices for the 1st character, 7 for the second, 6 for the third, etc. This works out to 8!

different orderings for each of your

26^4 * 10^4

The number of possible passwords is 26^4 * 10^4.

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Martin used 15 gallons to cement to lay sidewalk 50 feet in length. how many gallons of cement were used per foot

Answers

Answer:

0.3 gallon

Step-by-step explanation:

To do this problem, we must divide the amount of cement by the number of feet to see how much cement he used for each foot.

15/50 = 0.3 gallon

Answer:

0.3 gallons per foot

Step-by-step explanation:

We know that he used 15 gallons of cement for 50 feet.

We want to find the amount per foot or the amount per each 1 foot.

So we have to divide the 15 gallons by the 50 feet.

15 / 50 = 0.3 gallons per foot.

8. The table represents some points on the graph of a linear function.

What is the rate of change of y with respect to x for this function

Answers

1+3-2+0=2

-3-2+1+2=-2

Answer:

d.-½ ,represent change of y with respect to x

Step-by-step explanation:

The values of y with respect to x are :-

-3--½ and,0

Thus, -½ in the value of the change in y with respect to x.

I'm lazy and dont feel like doing math myself. So pls help me!

Answers

Answer:

55

Step-by-step explanation:

[tex] \frac{n(n + 1)}{2} \\ n = 10 \\ substitutig \\ \frac{10(10 + 1)}{2} \\ \\ \frac{10(11)}{2} \\ \\ \frac{110}{2} = 55 [/tex]

Volume=
What is the volume?
Help please

Answers

Answer: 5.22

Step-by-step explanation:

The apothem = 87 cm = 0.87 m.

Using the formula [tex]A=\frac{1}{2}ap[/tex] to find the area of the base, where a is the apothem and p is the perimeter, we get [tex]A=\frac{1}{2}(0.87)(6)=2.61[/tex]

So, using the formula [tex]V=Bh[/tex], we get the volume to be [tex]2.61(2)=5.22 \text{ m}^{3}[/tex]

a circle and triangle can intersect in a) a point b) a circle c) a triangle d) a line

Answers

A circle and a triangle can intersect in a point.

What is intersection at a point?

This refers to the fact that two lines are able to meet at a given point. The point where they meet is the point of intersection.

A circle is known to be able to intersect with a triangle in three different ways and at one point.

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When asked to explain why there is no solution to |3x+7|-5 Jack said, "It is not a solution because the 5 is negative." Jack is on the right track but his reasoning is inomplete. Give a better answer on lines below

Answers

There is no solution for the equation | 3x+7|-5.

When asked to explain why there is no solution to |3x+7|-5 Jack said, "It is not a solution because the 5 is negative." Jack is on the right track but his reasoning is incomplete

What are equation?

equation are format of a link which process over mathematical operators like addition, subtraction etc.

| 3x+7|-5 has no solution because the data is incomplete. Without know there limits or equal to zero, less than zero or greater than zero this system of equation cannot be defined. That is why there is no solution for | 3x+7|-5.

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The circumference of C is 72 cm. What is the length of AB.
the minor arc

Answers

Answer:

9cm

Step-by-step explanation:

The CIRCUMFERENCE OF A CIRCLE is the distance round the circle.

It has the formular 2πr.

were r = radius

C = 2πr

72 = 2 × 3.142 × r

72 = 6.284r

dividing bothsides by 6.284

r = 72/ 6.284

r = 11.457

AB is an arc.

Lenght of an arc

[tex] \frac{ \alpha }{360} \times 2\pi \: r \\ \\ \frac{45}{360} \times 2 \times 3.142 \times 11.457 \\ \\ \frac{45}{360} \times 71.995 \\ \\ = 8.999 \\ \\ = 9cm[/tex]

Hey sample has a sample proportion of .3 which sample size will produce the widest 95% confidence interval when estimating the population parameter

Answers

The sample size which will produce sample proportion of 0.3 and 95% confidence interval is 36.

Given sample proportion of 0.3, confidence level 95%.

A confidence interval of proportions is given by:

π±z[tex]\sqrt{}[/tex]π(1-π)/n

In which :

π is the sample proportion,

z is the critical value

n is the sample size.

Margin of error=z[tex]\sqrt{}[/tex]π(1-π)/n

z value for confidence level of 95% is 1.96

Margin of error=1.96[tex]\sqrt{0.3*0.7/n}[/tex]

The widest interval has the highest margin of error, since the margin of error and since the margin of error is inversely proportional to the sample size , a lower sample size generates a higher margin of error.

Hence sample size which is correct is 36.

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Question is incomplete as it also includes options like:

a)46

b)68

c)56

d)36.  

From the diagram below, we can tell that ____.

Select one:

a.
the two triangles are congruent


b.
the two triangles are similar by SAS


c.
the two triangles are similar by SSS


d.
the two triangles are not similar

Answers

Answer:

b) The two triangles are similar by SAS

Step-by-step explanation:

From the diagram below, we can tell that

b. the two triangles are similar by SAS

What is SAS similarity?

SAS similarity (Side-Angle-Side similarity) is a criterion used to determine whether two triangles are similar.

It states that if two sides of one triangle are proportional to two sides of another triangle, and the included angles between these sides are congruent, then the two triangles are similar.

In other words, if in two triangles, the ratio of the lengths of corresponding sides is equal, and the included angles between these sides are congruent, then the two triangles are considered similar.

The corresponding angles are congruent and the sides are in proportion

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A mother is 46 years old and her son is 21 years old in 2021. In what year was the mother six times as old as the son ?

Answers

Answer:1981

Step-by-step explanation:

Which graph represents the solution to the compound inequality?

–2x + 4 ≤ 8 and –2x + 4 > –6

Answers

The graph which represents the solution to the compound inequality is; -2 ≤ x < 5.

Which graph represents the solution to the compound inequality?

The inequalities given in the task content can be solved as follows;

For –2x + 4 ≤ 8

-2x ≤ 8 -4

x >= -2

For –2x + 4 > –6

–2x > –6 -4

x < 5

Hence, the graph which represents the solution to the compound inequality is; -2 ≤ x < 5.

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In the following exercises, multiply the binomials. Use any method.
265. (6pq − 3)(4pq − 5)

Answers

Answer:

24p^2q^2 - 42pq + 15

Step-by-step explanation:

Answer:

Hence the expression [tex]$$(6pq-3)(4pq-5)=24p^2q^2-42pq+15$$[/tex]

Step-by-step explanation:

Explanation

The given expression is (6pq-3)(4 p q-5).We have to multiply the given expression.Multiply the (6 p q-3) by -5, multiply the (6 p q-3) by 4pq then add like terms.

[tex]$$\begin{matrix}{} & {} & {} & {} & 6pq & - & 3 \\ \times & {} & {} & {} & 4pq & - & 5 \\ \end{matrix}$$[/tex]

_________________

[tex]$$\begin{matrix}{} & {} & {} & - & 30pq & + & 15 \\ {} & {} & 24{{p}^2}{{q}^2} & - & 12pq & {} & {} \\ \end{matrix}$$[/tex]

___________________

[tex]$$\begin{matrix}{} & {} & 24{{p}^2}{{q}^2} & - & 42pq & + & 15 \\ \end{matrix}$$[/tex]

In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?
QS = 13
5 < QS < 8
QS > 13
3 < QS < 13

Answers

Answer:

3 < QS < 13.

I just did it on edge

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The length of QS can lie between 3 < QS < 13.

What is the triangle inequality theorem?

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

(a+b) > c(b+c) > a(c+a) > b

Here, we have,

As per the given law of triangle inequality, the sum of the two sides of the triangle is greater than the third side.

x + 8 > 5

x > -3

x + 5 > 8

x > 3

8 + 5 > x

13 > x

Hence, In triangle QRS the length of QS can lie between 3 < QS < 13.

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given triangle abc, ab =bc=ac area of triangle abc 25 sq root 3 divide 4 cm. find the perimeter of abc tirangle

Answers

Answer:

[tex]\boxed{Circuit_{\Delta ABC} = 15~cm }[/tex]

Step-by-step explanation:

The ABC triangle is an equilateral triangle.

[tex]\mid AB\mid = \mid BC\mid = \mid AC\mid[/tex]

The drawing in the attachment.

I am entering meaningfully:

a - side length of an equilateral triangle

[tex]a=\mid AB\mid = \mid BC\mid = \mid AC\mid[/tex]

[tex]P_{\Delta} =\dfrac{a^{2} \sqrt{3} }{4}[/tex]  -   equilateral triangle area formula

[tex]P_{\Delta} =\dfrac{25 \sqrt{3} }{4}~~\land~~P_{\Delta} =\dfrac{a^{2} \sqrt{3} }{4}~~\Rightarrow~~\dfrac{a^{2} \sqrt{3} }{4}=\dfrac{25 \sqrt{3} }{4}\\\\\\\dfrac{a^{2} \sqrt{3} }{4}=\dfrac{25 \sqrt{3} }{4}~~\mid~~\div ~~\dfrac{\sqrt{3} }{4} \\\\\\\dfrac{a^{2} \sqrt{3} }{4}\cdot \dfrac{4}{\sqrt{3} } =\dfrac{25 \sqrt{3} }{4}\cdot \dfrac{4}{\sqrt{3} } \\\\a^{2} =25~~\\\\a^{2} =5^{2} ~~\land~~a > 0~~\Rightarrow~~\boxed{a=5~cm}\\\\\\[/tex]

[tex]Circuit_{\Delta ABC} =a+a+a\\\\Circuit_{\Delta ABC} =3a~~\land~~a=5~cm\\\\\boxed{Circuit_{\Delta ABC} =3\cdot 5 = 15~cm }[/tex]

The perimeter of the triangle ABC is 15.

Roxanne likes to fish. She estimates that 30% of the fish she catches are
trout, 20% are bass, and 10% are perch. She designs a simulation.
Let 0, 1, and 2 represent trout.
Let 3 and 4 represent bass.
Let 5 represent perch.
Let 6, 7, 8, and 9 represent other fish.
The table shows the simulation results.
7888 2635 2961 2053
2095
4526 6994 4348 3087 7282
8323 3579 3840 6839 51681
0585 1780 3363 7683 2921
What is the estimated probability that at least one of the next four fish
Roxanne catches will be a perch?

Answers

The estimated probability that at least one of the next four fish Roxanne catches will be a perch is 34%

What is Probability ?

Probability is the likeliness of an event to happen. It has a range of 0 to 1, where 0 indicates uncertainty and 1 indicates certainty.

It is given that

0, 1, and 2 represent trout , 3 and 4 represent bass , 5 represent perch , 6, 7, 8, and 9 represent other fish

From the data it can be observed that

Total number of single digits numbers = 80

No. of Perch , "5 " = 8

Probability of getting a perch in next fish = 8/80 = 0.1

Probability that at least one of the next four fish Roxanne catches will be a perch = 1- P(no perch)

P ( no perch) = 1 - 0.1 = 0.9

for 4 fishes

= 1 - 0.9⁴

= 0.3439

= 34.39%

≈ 34%

Therefore the estimated probability that at least one of the next four fish

Roxanne catches will be a perch is 34%.

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Consider this complex fraction.
10|3|2|3

Answers

Step-by-step explanation:

[tex] = \frac{ \frac{10}{3} }{ \frac{2}{3} } [/tex]

[tex] = \frac{10}{3} \div \frac{2}{3} [/tex]

[tex] = \frac{10}{3} \times \frac{3}{2} [/tex]

[tex] = \frac{9 + 1}{3} \times \frac{3}{2} [/tex]

[tex] = 3 \frac{1}{3} \times \frac{3}{2} [/tex]

[tex] = 3 \frac{1}{3} .( \frac{3}{2} )[/tex]

The answer is B.

Jaylen and ken started jogging from the same place in the opposite directions along a straight path. jaylen's speed was 30 m/min faster than ken's speed. both of them did not change their speeds throughout the jog. at the end of the jog, they were 13.6 km apart. jaylen jogged 2.4 km more than ken. what was ken's average speed?

Answers

The average speed of Ken is 70 m/min. Using the relation between the speed and distance, the required speed for Ken is calculated.

What is the relation between speed and distance?

The relationship between speed S and distance D with a period T is formed as

S = D/T

Units: m/sec (basic unit)

Calculation:

Given that,

Jaylen and Ken started jogging from the same place in opposite directions along a straight path.

This means, that the sum of distances traveled by both of them in opposite directions = 13.6 km (since it is given that at the end of their jogging, they are 13.6 km apart)

Consider,

The distance traveled by Jaylen = x km

Then the distance traveled by Ken = x - 2.4 km (since Jaylen jogged 2.4 km more than Ken)

Step 1: Finding the distance traveled by them:

x + x - 2.4 = 13.6

⇒ 2x = 13.6 + 2.4

⇒ 2x = 16

⇒ x = 8 km

So, the distance travelled by Jaylen = 8 km and by Ken = 8 - 2.4 = 5.6 km

Step 2: Finding the average speed traveled by Ken:

Since it is given that,

Jaylen's speed was 30 m/min faster than Ken's speed.

So,

For 30 m, the time = 1 min

then for 2.4 km i.e., 2400 m, the time = 80 min.

Therefore,

the average speed of Ken S = D/t

⇒ S = 5600 m / 80 min

S = 70 m/min.

So, the average speed of Jaylen will be 70 m/min + 30 m/min = 100 m/min.

Thus, the average speed of Ken is 70 m/min.

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Mickey use three calculations to find how much he would spend on seven cartons of eggs 12 cartons of eggs cost $22.20 describe his error

Answers

Mickey, Making errors could be that he must be found out that cost of one carton is $0.50, by dividing 12 cartons with total cost and by this  e figured it out the cost of 7 carton is just $3.5.

In this question is  arithmetic, what we have in, the question is 12 cartons of eggs cost $22.20. we need to find out the cost of seven cartons.

What is arithmetic?

In mathematics it deals with numbers of operations according to the statements.

Here, the cost of one carton is given by;
  =  22.20/12  = $1.85

now the cost of seven cartons,

   = 1.85 x 7 = 12.95 ≅ $ 13

Thus, Mickey made the mistake in his calculation and didn't get the right cost for seven cartons which is $13.

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2 triangles are shown. The first triangle has side lengths x, x, 50. The second triangle has side lengths 45, 45, 75.

What value of x will make the triangles similar by the SSS similarity theorem?
1.5
20
30

Answers

The value of x would make the triangles similar by the SSS similarity theorem would be 30 . Option C

How to determine the value

The SSS similarity theorem of triangles holds that if the three sides of two triangles are proportional, then the triangles are similar.

If the two triangles are to be similar, we have that:

45/x = 75/50

Cross multiply

x = (45 × 50)/75

x = 2250/75

x = 30

Therefore, the value of x would be 30 . Option C

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estion
Kenneth has a bird feeder which gets visited by an average of 15 birds every 2 hours during daylight hours. What is the
probability that the bird feeder will be visited by at most 5 birds in a 45 minute period during daylight hours? (Round your
answer to three decimal places.)

Answers

Using the Poisson distribution, it is found that there is a 0.507 = 50.7% probability that the bird feeder will be visited by at most 5 birds in a 45 minute period during daylight hours.

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.

Considering the average of 15 birds every 2 hours during daylight hours, the mean for a 45-minute period is given by:

[tex]\mu = 15 \times \frac{45}{120} = 5.625[/tex]

The probability that the bird feeder will be visited by at most 5 birds in a 45 minute period during daylight hours is given by:

[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

In which:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-5.625}(5.625)^{0}}{(0)!} = 0.004[/tex]

[tex]P(X = 1) = \frac{e^{-5.625}(5.625)^{1}}{(1)!} = 0.02[/tex]

[tex]P(X = 2) = \frac{e^{-5.625}(5.625)^{2}}{(2)!} = 0.057[/tex]

[tex]P(X = 3) = \frac{e^{-5.625}(5.625)^{3}}{(3)!} = 0.107[/tex]

[tex]P(X = 4) = \frac{e^{-5.625}(5.625)^{4}}{(4)!} = 0.150[/tex]

[tex]P(X = 5) = \frac{e^{-5.625}(5.625)^{5}}{(5)!} = 0.169[/tex]

Then:

[tex]P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.004 + 0.02 + 0.057 + 0.107 + 0.15 + 0.169 = 0.507[/tex]

0.507 = 50.7% probability that the bird feeder will be visited by at most 5 birds in a 45 minute period during daylight hours.

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What does f(0) mean?

Answers

Answer:

it means y intercept

Step-by-step explanation:

Find the value of x. Then find the measure of each labeled angle.

Answers

Answer:

3x-10=x+40

X=25

Angels are 65

Ans:c

Question 6 (Essay Worth 10 points)
(05.01 HC)
Monogram Masters advertises on its website that 92% of customer orders are received within five working days. They performed an audit from a random sample
of 200 of the 3,000 orders that month and it shows 175 orders were received on time.
Part A: Can we use a normal approximation? Explain. (5 points)
Part B: If Monogram Masters customers really receive 92% of its orders within five working days, what is the probability that the proportion in the random sample
of 200 orders is the same as the proportion found in the audit sample or less? (5 points)

Answers

Considering the problem described, we have that:

a) The normal distribution can be used, as both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex].

b) There is a 0.0132 = 1.32% probability that proportion in the random sample of 200 orders is the same as the proportion found in the audit sample or less.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

The parameters of the binomial distribution are:

n = 2000, p = 0.92.

Hence:

np = 200 x 0.92 = 184.n(1-p) = 200 x 0.08 = 16.

Since both [tex]np \geq 10, n(1 - p) \geq 10[/tex], a normal approximation can be used. The mean and the standard deviation of the approximation are given as follows:

[tex]\mu = np = 200 \times 0.92 = 184[/tex].[tex]\sigma = \sqrt{np(1 - p)} = \sqrt{200 \times 0.92 \times 0.08} = 3.8367[/tex]

The probability that proportion in the random sample of 200 orders is the same as the proportion found in the audit sample or less, using continuity correction, is P(X < 175.5), which is the p-value of Z when X = 175.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{175.5 - 184}{3.8367}[/tex]

Z = -2.22.

Z = -2.22 has a p-value of 0.0132.

0.0132 = 1.32% probability that proportion in the random sample of 200 orders is the same as the proportion found in the audit sample or less.

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Which graph shows the solution to the inequality -3x-7 <20?
-10
←++
-10
-10
←++
-10
-5
-5
-5
-5
0
0
0
0
5
5
5
5
10
10
10
10

Answers

Answer:

x > 9

Step-by-step explanation:

Hello!

First let's solve the inequality for x.

Flip the sign if you are dividing by a negative number.

Solve for x[tex]-3x - 7 < 20[/tex][tex]-3x < 27[/tex][tex]x > 9[/tex]

Now let's graph it on a number line. If it is a greater or less than symbol, we use an open circle. If it is a greater than or equal to or a less than or equal to, we use a closed circle.

Plot the point of 9 with an open circle, and shade in a line towards the right (all values greater than 9).

in10 words define parallel lines

Answers

♨ANSWER♥

Parallel lines are lines in a plane that are always the same distance apart.

...hope this helps...

_♡_mashi_♡_

Lines with the same slope that never touch each other.

Parallel lines share the same slope (direction). Attached is an example of two lines parallel to each other, [tex]y=2x-1[/tex] in red and [tex]y=2x+1[/tex] in green. They both have a slope of [tex]2[/tex], which is what makes them parallel.

Other Questions
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