name any two heterocrine glands

Name Any Two Heterocrine Glands

Answers

Answer 1

Answer:

Two examples of heterocrine glands are the pancreas and the salivary glands.

Step-by-step explanation:

Two examples of heterocrine glands are the pancreas and the salivary glands.

The pancreas is a heterocrine gland because it contains both exocrine cells that secrete digestive enzymes into the small intestine via ducts, as well as endocrine cells that secrete hormones directly into the bloodstream. The exocrine function of the pancreas helps in the digestion of carbohydrates, proteins, and fats.

The salivary glands are also heterocrine glands because they produce both exocrine and endocrine secretions. The exocrine function of the salivary glands involves the production and release of saliva into the oral cavity via ducts, which helps in the digestion of carbohydrates and lubrication of the mouth. The endocrine function of the salivary glands involves the secretion of hormones that regulate various physiological processes, including blood pressure and metabolism


Related Questions

the square root of $x$ is greater than 3 and less than 4. how many integer values of $x$ satisfy this condition?

Answers

6 integers that satisfy the given condition are 10,11,12,13,14,15.

Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size

we have the number X

Of which the square root is greater than 3 and less than 4

so,

\(3 < \sqrt{X} < 4\)

on squaring both sides

\(3^2 < (\sqrt{X})^{2} < 4^2\)

\(9 < X < 16\)

so the integer that satisfies the condition is 10,11,12,13,14,15.

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Answer:

6

Step-by-step explanation:

Because 4 > √x > 3, we know that 16 > x > 9. Thus, the integers from 10 to 15 inclusive satisfy this inequality, which means 6 integers satisfy the condition in the problem.

The angle measures of a triangle are 2y + 3 degrees, 9y – 7 degrees, and 7y + 4 degrees. Which of the following is not one of the angle measures of the triangle?

Answers

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.

What is an angle?

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

Identify the parametric curve C which is given by x(t) = sect, y(t) = tan² t, 0≤t<π/2. a. The parabola y=x²-1 on the interval 1 < x. b. Something else c. The parabola y = x² +1. d The parabola y = x² - 1 on the interval 0 < x. e. The parabola y = x² = - 1. f. The parabola y = x² - 1 on the interval 1 < x. g. The parabola y = x² + 1 on the interval 0 < x.

Answers

The correct option is d. The parabola y = x² - 1 on the interval 0 < x

Given parametric curve C: x(t) = sect, y(t) = tan² t, 0≤t<π/2. We need to identify the curve represented by these parametric equations.

To find the answer, we need to eliminate the parameter t from the given parametric equation to get the Cartesian equation.

x = sec t  

⇒ cos t = 1/sec t = x    

⇒ sec t / cos t = 1/x    

⇒ tan t =  y√(x²−1)/x

Substituting the value of tan t = y√(x²−1)/x in x = sec t we get

y = tan² t

= (y² (x²−1))/x²+ y²

Taking x² as a common denominator, we get

x²y = y² (x²−1) + y²x²  

⇒ x²y = y²x² − y² + y²x²  

⇒ y = x²−1/ x²  

The resulting equation is y = x²−1/ x²which is a parabolic curve with a vertical asymptote at x = 0.

Thus, option (d) The parabola y = x² - 1 on the interval 0 < x is the correct answer.

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Please help! will give brainlest!

Please help! will give brainlest!

Answers

cscθ is the same as 1/sinθ

Explanation:

csc stands for cosec which is equivalent to   1/sinθ

The expression is thus equal to 1/[sin⁡(4π/3)]

Since we know by consulting the unit circle that  sin⁡(4π/3) = - [(√3)/2]

we get the expression  1/[sin⁡(4π/3)] = 1/(-√3/2)  

which can be simplified to 1/(-√3/2) = 2/(-√3) = (-2√3)/3

A metallic spherical ball of radius 14 cm is being melted and recast it into spherical balls of radius 2 cm. How many spherical balls will be created? Round your answer to the nearest whole number.

Answers

Volume of sphere = 4/3 x pi x r^3

Volume of large sphere:

4/3 x 3.14 x 14^3 = 11488.21 cubic cm

Volume of smaller sphere:

4/3 x 3.14 x 2^3 = 33.49 cubic cm

Number of small spheres = volume of large sphere/ volume of small sphere

11488.21 / 33.49 = 343.03

Round to 343 small spheres

the region r is bounded by the x-axis, x = 0, ,x=2pi/3 and y=3sin(x/2). find the area of r

Answers

The region is bounded by the x-axis x=0, x=2pi*/3 and y= 3sin(x/2)   is pi/3.

To find the area of region r, we first need to sketch the region on the x-y plane. From the given information, we know that the region is bounded by the x-axis, the line x=0, the line x=2pi/3, and the curve y=3sin(x/2). To sketch the curve, we can start by noting that sin(x/2) is a periodic function with period 2pi. This means that the curve will repeat itself every 2pi units on the x-axis. We can also note that sin(x/2) is non-negative for x in the interval [0, 2pi], which means that the curve will lie above the x-axis in this interval. To sketch the curve in the interval [0, 2pi/3], we can use the fact that sin(x/2) is increasing on this interval. This means that the curve will start at the point (0,0) and increase until it reaches its maximum value of 3sin(pi/6) = 3/2 at x=pi/3. The curve will then decrease until it reaches the x-axis at x=2pi/3.
Using this information, we can sketch the region r as a triangle with base 2pi/3 and height 3/2. The area of this triangle is given by:
area = 1/2 * base * height = 1/2 * (2pi/3) * (3/2) = pi/3
Therefore, the area of region r is pi/3.

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In the island nation of Autarka there are two amusement parks: Alfonso's Wonderland and Bernice's Wild Rides. The amusement parks are located at either end of the island, 1km apart.
Recently, a third rm, VendorCorp, has developed a new automation technology which promises to improve the eciency of amusement park rides. VendorCorp is o ering to sell the exclusive rights to this technology, and has asked the two parks to submit bids.
The new technology promises to reduce the marginal cost of operating rides for a customer by $6. However, experience in other countries has shown that, in about 30% of amusement parks, the technology encounters compatibility issues and only reduces the marginal cost by $3. Unfortunately, there is no way to know whether these issues will be encountered until the technology is installed.

In Autarka there are 9600 people who like to visit an amusement park. Each of these consumers wants to visit one park once. The consumers' homes are evenly spaced across the island, and they each su er a disutility of $24 for each kilometre they travel to reach an amusement park.
With their current technology, it costs an amusement park $12 for each customer they host. At present, the equilibrium price for an amusement park ticket is $36, and each rm has a pro t of $115,200.
This market is best modelled as Hotelling competition. You should neglect xed costs throughout your analysis.
Note: For the purp oses of this assignment you should treat this market as a one- shot game. Do not consider rep etition or asso ciated phenomena such as collusion or predatory pricing.

2.1 Your task
You have been hired by Alfonso's Wonderland to analyse the business case for purchasing the exclusive rights to the automation technology. You have been asked to determine:
The maximum price Alfonso's Wonderland should be willing to pay for the technology.
The price that Alfonso's Wonderland is likely to have to pay if it is successful.
The consequences for Alfonso's Wonderland if Bernice's Wild Rides purchases the exclusive rights instead of Alfonso's Wonderland.

In the analysis section you must complete each of the steps detailed below. When com-pleting the steps you must:

Step 1: Derive an expression for the location of the indi erent consumer. Use PA to represent the price of admission at Alfonso's Wonderland, and PBto represent the price of admission at Bernice's Wild Rides. (2 marks)
Step 2: Find the pro t function for Bernice's Wild Rides. You should assume that Ber- nice's marginal cost is $12. (4 marks)
Step 3: Find Bernice's best-response function. (4 marks)
Step 4: Find the pro t function for Alfonso's Wonderland for the case in which their marginal cost is $6. (4 marks)
Step 5: Find the best-response function for Alfonso's Wonderland for the case in which their marginal cost is $6. (4 marks)
Step 6: Find the equilibrium prices and pro ts for the case in which Alfonso's marginal cost is $6 and Bernice's marginal cost is $12. (7 marks)
Step 7: Find the pro t function for Alfonso's Wonderland for the case in which their marginal cost is $9. (4 marks)
Step 8: Find the best-response function for Alfonso's Wonderland for the case in which their marginal cost is $9. (4 marks)
Step 9: Find the equilibrium prices and pro ts for the case in which Alfonso's marginal cost is $9 and Bernice's marginal cost is $12. (7 marks)

Answers

The expression is x = (PA - PB) / (2 * (24 + 12)).Alfonso's marginal cost is $9 and Bernice's marginal cost is $12.Alfonso's best-response function can be determined by maximizing profit function with respect to PA.

The expression for the location of the indifferent consumer can be derived using the Hotelling model, where the consumer is equidistant between the two parks. Let x represent the distance from Alfonso's Wonderland. The expression is x = (PA - PB) / (2 * (24 + 12)).

The profit function for Bernice's Wild Rides can be found by subtracting the marginal cost of $12 from the revenue function, which is equal to the price PB multiplied by the number of customers.

Bernice's best-response function can be determined by maximizing their profit function with respect to PB.

The profit function for Alfonso's Wonderland, with a marginal cost of $6, can be found similarly by subtracting the marginal cost from the revenue function, which is equal to the price PA multiplied by the number of customers.

Alfonso's best-response function can be determined by maximizing their profit function with respect to PA.

The equilibrium prices and profits can be found by solving the simultaneous equations formed by the best-response functions of both parks.

Repeat steps 4 and 5 for the case where Alfonso's marginal cost is $9.

Repeat step 6 for the case where Alfonso's marginal cost is $9 and Bernice's marginal cost is $12.

By following these steps, we can determine the maximum price Alfonso's Wonderland should pay, the likely price they will have to pay, and the consequences of Bernice's Wild Rides acquiring the exclusive rights.

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find a, b and c such that the number a , 7,b,23,c are in A.P please solve it​

Answers

Answer:

since a,7,b,23,c are in A.P.

first term t1=a

second term t2=7

common difference (d)=7-a

forth term t4=a+3d

23=a+3(7-a)

23=a+21-3a

23=21-2a

2a=21-23

a=-2/2=-1

common difference =7-a=7--1=8

third term =a+2d=-1+2×8=15

:.b=15

5th term =c

a+4d=c

c=-1+4×8=31

a=-1

b=15

c=31

Step-by-step explanation:

what is stoichiometry ?

only for faizan !!!!

find a, b and c such that the number a , 7,b,23,c are in A.P please solve it
find a, b and c such that the number a , 7,b,23,c are in A.P please solve it

Maps smaller than 1:20,000 can have no more than 10% of the sampled point off by 1/50th of an inch. What is the allowable accuracy for map at 1:250,000

Answers

For The allowable accuracy for a map at a scale of 1:250,000, we need to first understand the relationship between scale and accuracy, we can assume that the allowable accuracy for a map at 1:250,000 would be less than the allowable accuracy for a map at 1:20,000.

As the scale of a map decreases, the level of detail shown on the map decreases, which means that the allowable accuracy also decreases.

When it comes to maps, accuracy is crucial for providing accurate information to the user. The accuracy of maps is often measured in terms of the scale used to create the map. In this case, the question mentions a map with a scale of 1:20,000, which means that one unit on the map represents 20,000 units in the real world.

According to the question, maps with a scale smaller than 1:20,000 can have no more than 10% of the sampled points off by 1/50th of an inch. This means that for every 100 sampled points, no more than 10 points can be off by 1/50th of an inch.

To determine the allowable accuracy for a map at a scale of 1:250,000, we need to first understand the relationship between scale and accuracy. As the scale of a map decreases, the level of detail shown on the map decreases, which means that the allowable accuracy also decreases.

Based on this understanding, we can assume that the allowable accuracy for a map at 1:250,000 would be less than the allowable accuracy for a map at 1:20,000. However, without more information about the specific requirements for this map, we cannot determine the exact allowable accuracy.

In general, it is important to ensure that maps are as accurate as possible to prevent errors and confusion for users. This can be achieved through careful measurement, data collection, and map creation techniques.

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what is the sum of the measures of the interior angles of a hexagon ​

Answers

Answer:

Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon's sum of interior angles and add 180 to it getting us, 720+180=900 degrees.

Hexagon has 6, so we take 540+180=720

what is 5(a-5b)(a+b)​

Answers

Answer:

10a-20b

Step-by-step explanation:

5a-25b+5a+5b

10a-20b

is y = x2 + 5x + 6 a relation or function

Answers

Answer:

it is a function

Step-by-step explanation:

y = f (x) =x2 + 5x + 6

in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values of x,y and z.

in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values

Answers

Answer:

Step-by-step explanation:

in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values

Find the number of turns in the graph of the function f(x) = (x2 - 5x + 4)(x).

Find the number of turns in the graph of the function f(x) = (x2 - 5x + 4)(x).

Answers

Answer:

2

Explanation:

Given the function:

\(f\mleft(x\mright)=(x^2-5x+4)\left(x\right)\)

The greatest power of f(x) = 3.

This means that the polynomial f(x) is a cubic polynomial.

The number of turning points in a cubic polynomial is 2.

A graphical illustration is attached below:

Thus, the number of turns in the graph of the function f(x) is 2.

Find the number of turns in the graph of the function f(x) = (x2 - 5x + 4)(x).

Greg rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 71 cents for each mile driven. Greg had to pay $144.53
when he returned the truck. For how many miles did he drive the truck?

Answers

He drove 87.71 miles

A 2-column table with 4 rows. Column 1 is labeled Time (minutes), x with entries 4, 5, 6, 7. Column 2 is labeled Bags Remaining, y with entries 36, 32, 28, 24.
Razi is filling bags with party favors for his birthday party. The table to the right shows the number of bags he still needs to fill after 4, 5, 6, and 7 minutes. If he is working at a constant rate, what was the initial number of party favor bags Razi had to fill?
36
48
52
56

Answers

Therefore, the initial number of party favor bags Razi had to fill is 20.

To determine the initial number of party favor bags Razi had to fill, we need to analyze the relationship between the time and the number of bags remaining.

Looking at the table, we can observe that the number of bags remaining decreases by 4 for every additional minute of work. This suggests a constant rate of filling the bags.

From the given data, we can see that at the starting time (4 minutes), Razi had 36 bags remaining. This implies that for each minute of work, 4 bags are filled.

To calculate the initial number of bags, we can subtract the number of bags filled in 4 minutes (4 x 4 = 16) from the number of bags remaining initially (36).

36 - 16 = 20

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A fish weight 3067 g , and has a density of 255 g per cubic centimeter. What is its volume?​

Answers

Answer:

The volume is \(12.03\ cm^3\)

Step-by-step explanation:

Density

Is the mass of a unit volume of a material substance. It can be calculated with the formula:

\(\displaystyle \rho=\frac{m}{V}\)

Where m is the mass and V is the volume.

The fish has a mass of m= 3067 g and has a density of ρ=255 gr per cubic centimeter. To calculate the volume, we solve the formula for V:

\(\displaystyle V=\frac{m}{\rho}\)

\(\displaystyle V=\frac{3067}{255}\)

\(V = 12.03\ cm^3\)

The volume is \(12.03\ cm^3\)

Circle O is shown below. The diagram is not to scale. What is the measure of angle BAC?
A. 112 degrees
B. 53.5 degrees
C. 46.5 degrees
D. 56 degrees

Circle O is shown below. The diagram is not to scale. What is the measure of angle BAC?A. 112 degreesB.

Answers

Base on the Circle O the measure of angle BAC is D. 56 degrees

How can the angle BAC be measured?

It should be noted that protractor can be used to measure an angle precisely however the angle is measured in degrees,  and 360 degrees make up one full revolution.

m∠AOB = 68°

We can find the  measure of ∠BAC. whereby O is the center of the circle. and OA, OB and OC are radii of the circle.

⇒ OA = OB = OC

In ΔAOB,

OA = OB

Whereby Angle opposite to equal sides are equal and Sum of all angles of a triangle = 180°

⇒ m∠OAB = m∠OBA ----------- (1)

m∠OAB + m∠OBA + m∠AOB = 180°

m∠OAB + m∠OAB + 73° = 180°  (using (1))

2 m∠OAB + 68° = 180°

2 m∠OAB = 112°

m∠OAB = 53.5°

m∠BAC = m∠OAB

m∠BAC = 56°

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You invest an initial $700 in an account that has an annual interest rate of 6%, compounded monthly. How much money will you have in the account after 10 years? Round your answer to the nearest whole number and cent.

Answers

Principal=P=$700Rate of interest=R=6%Time=10years=T

Find Interest=I

\(\\ \sf\longmapsto I=\dfrac{PRT}{100}\)

\(\\ \sf\longmapsto I=\dfrac{700(6)(10)}{100}\)

\(\\ \sf\longmapsto I=7(60)\)

\(\\ \sf\longmapsto I=\$420\)

Now

Total money=P+I=700+420=$1120

Money after 10years:-

\(\\ \sf\longmapsto 1120(10)\)

\(\\ \sf\longmapsto \$11200\)

PLS HELP ASAP WILL MARK BRAINLEIST

PLS HELP ASAP WILL MARK BRAINLEIST

Answers

Answer:

a^8

I hope this is the correct answer

have a great day

Answer:

Step-by-step explanation:

(a².a³.(a-¹)²)

a²+³.a-¹×2

a⁵.a-²

a⁵+(-²)

a⁵-²

Consider this equation.


tan

(
θ
)
=
-
5
3

If
θ
is an angle in quadrant II, what is the value of
sin

(
θ
)
?

Consider this equation.tan()=-53If is an angle in quadrant II, what is the value of sin()?

Answers

Since tanθ = -5/3 and θ is in quadrant II, using trigonometric ratios, sinθ = 5√34/34

What is a trigonometric ratio?

A trigonometric ratio is the ratio of the sides of a triangle.

Given that tanθ = -5/3 and θ is in quadrant II, we desire to find sinθ. We proceed as follows.

Since we have tanθ, we find sinθ using the trigonometric identity

1 + cot²θ = cosec²θ

Since cotθ = 1/tanθ and cosecθ = 1/sinθ, we have that

1 + cot²θ = cosec²θ

1 + (1/tanθ)² = (1/sinθ)²

Making sinθ subject of the formula, we have that

sinθ = ±1/√[1 + (1/tanθ)²]

So, substituting the values of the variable into the equation, we have that

sinθ = ±1/√[1 + (1/tanθ)²]

sinθ = ±1/√[1 + (1/-5/3)²]

sinθ = ±1/√[1 + (3/5)²]

sinθ = ±1/√[1 + 9/25]

sinθ = ±1/√[(25 + 9/25)]

sinθ = ±1/√[(34/25)]

sinθ = ±1/√[(34)/5]

sinθ = ±5/√34

Rationalizing the denominator, we have that

sinθ = ±5/√34 × √34/√34

sinθ = ±5√34/34

Since θ is in quadrant II and sinθ is positive in quadrant II, we take the positive answer.

So, sinθ = 5√34/34

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James buys a shirt and a pair of socks on sale and pays 75% of the original
price. If the price of the shirt before the sale was $24 and he spent a total of $24,
what was the original price of the socks?

Answers

Answer: I believe the socks would be $18

Step-by-step explanation:

75% of 24 is 18. 24-18=6 so the shirt was $6 with the discount. 24-6= 18 so that would leave the socks at $18

The answer is 18






Ndjdjdjdje

Jdjdjdj

Jdjdjd

a student believes...

a student believes...

Answers

Answer:

B

Step-by-step explanation:

This is correct because we already know that the two sides are congruent and that we have one more side we need to prove congruent. Well, it is congruent because it's just lined up next to each other, so they're equal which is BD=DB. This would make it so it would be SSS and the two triangles are congruent.

Please let me know if you need further explanation.

help me in this please​

help me in this please

Answers

Answer:

35 rows and 35 numbers of plants in a row.

Step-by-step explanation:

Mark as brainliest

Adele can rake and fill 3.4 bags of leaves each hour. How many bags of leaves will Adele rake
and fill in 10 hours?

Answers

Answer:

34 bags of leaves

Step-by-step explanation:

Since Adele can rake and fill 3.4 bags of leaves in one hour, you will multiply 3.4 by 10 (the number of hours)

3.4 x 10 = 34

The blueprint for Zahra's new office measures 4 cm
long and 2 cm wide.
The scale for the blueprint is 6 cm to 15 ft.
What is the actual area of her office?

Answers

The actual area of her office is 50 square feet.

The scale used for the blueprint of the office is the scale of reduction.

Also, the scale of reduction is uniform for the overall drawing.

We are given,

The blueprint for Zahra's new office measures 4 cm long and 2 cm wide.

The scale for the blueprint is 6 cm to 15 ft.

Let's find the actual length and width by unitary method;

Since 6 cm of the drawing denotes the actual size of 15 ft.

So, 1 cm of the drawing denotes the actual size of 15 ft./6 cm.

So, 4 cm of the drawing denotes the actual size of 15 ft./6 cm * 4 cm = 10 ft.

So, 2 cm of the drawing denotes the actual size of 15 ft./6 cm * 2 cm = 5 ft.

So, the actual length of the office will be 10 ft. and the actual width of the office will be 5 ft.

Now,

Area of the office = length * width = 10 * 5 = 50 square feet.

Thus, the actual area of her office is 50 square feet.

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Yo! Solving linear equations with integers! These are just some practice exercises I need help with! So they should probably be simple, I need these done asap, I’d appreciate work shown C:
1) - 4 + 3x = 4 x - 8
2) -5x - 8 = 2
3) 12 r - 14 = 5 ( 2 - r )
4) 3 x - 8 = - ( 17 + 2x)
Ty!

Yo! Solving linear equations with integers! These are just some practice exercises I need help with!

Answers

Answer:

Step-by-step explanation:

Solving linear equation with one variable:

   1) -4 + 3x = 4x - 8

        Add 4 to both sides

      -4 + 3x + 4 = 4x - 8 +  4

               3x     = 4x - 4

Subtract 4x from both sides,

        3x - 4x = -4x + 4x - 4

              -x   = -4

                \(\sf \boxed{\bf x = 4}\)

2) -5x - 8 = 2

Add 8 to both sides

 -5x - 8 + 8 = 2 + 8

            -5x  = 10

Divide both sides by (-5)

            \(\sf \dfrac{-5}{-5}x =\dfrac{10}{-5}\)

                 \(\sf \boxed{\bf x = -2}\)

3) 12r - 14 = 5(2-r)

    12r - 14 = 5*2 - 5*r

     12r - 14 = 10 - 5r

Add 14 to both sides

 12r - 14 + 14 = 10 - 5r + 14

             12r  = 24 - 5r

Add 5r to both sides

        12r + 5r = 24

               17r = 24

Divide both sides by 17

                 r = 24/17

4) 3x - 8 = -(17 + 2x)

  3x - 8 = -17 - 2x

Add 8 to both sides

3x - 8 + 8 = -17 - 2x + 8

           3x = -9 - 2x

Add 2x to both sides

      3x + 2x = -9

            5x  = -9

Divide both sides by 5

              \(\sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}\)

Answer:

1) x = 4

2) x = -2

3) \(r= \frac{24}{7}\)   \((1\frac{7}{17})\)

4) \(x=-\frac{9}{5}\)  \((-1\frac{4}{5})\)

Step-by-step explanation:

hope this helps!!

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Yo! Solving linear equations with integers! These are just some practice exercises I need help with!

What is the product of (3a + 2)(4a2 – 2a + 9)?

Answers

Answer: (3a + 2) • (4a2 - 2a + 9)

(no solution)

Step-by-step explanation:

Step by Step Solution

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STEP

1

:

Equation at the end of step 1

 (3a + 2) • ((22a2 -  2a) +  9)

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  4a2-2a+9

The first term is,  4a2  its coefficient is  4 .

The middle term is,  -2a  its coefficient is  -2 .

The last term, "the constant", is  +9

Step-1 : Multiply the coefficient of the first term by the constant   4 • 9 = 36

Step-2 : Find two factors of  36  whose sum equals the coefficient of the middle term, which is   -2 .

     -36    +    -1    =    -37

     -18    +    -2    =    -20

     -12    +    -3    =    -15

     -9    +    -4    =    -13

     -6    +    -6    =    -12

     -4    +    -9    =    -13

For tidiness, printing of 12 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 (3a + 2) • (4a2 - 2a + 9)

A certain factory manufactures parts with an unknown defect rate of p. Inspectors take a small sample of parts and find a total of 2 defective parts and 8 working parts.(a) What is the Beta distribution that you would use to model p, the true defect rate?(b) Using the distribution you found, find P(.15 ≤p ≤.25).(c) The inspectors take another sample. In this sample, they find 1 defective part and 9 working parts. Combining this sample with the previous inspection, what is the new Beta distribution that you would use to model p?(d) Repeat part (b) for this new Beta distribution.

Answers

a) The Beta distribution that would be used to model p, the true defect rate is Beta(2, 8).

(b) Using the distribution P(.15 ≤p ≤.25) is 0.086.

(c) The new Beta distribution that you would use to model p is Beta(3, 17).

(d) Using the new distribution P(.15 ≤p ≤.25) is 0.004.

(a) The Beta distribution that we would use to model p is Beta(α, β), where α is the number of defective parts found in the sample and β is the number of working parts found in the sample. In this case, α = 2 and β = 8, so the Beta distribution is Beta(2, 8).

(b) Using the Beta(2, 8) distribution, we want to find P(.15 ≤p ≤.25). This is equivalent to finding the probability that p falls between 0.15 and 0.25. We can use a Beta distribution calculator or software to find this probability, which is approximately 0.086.

(c) To find the new Beta distribution, we need to combine the two samples. We now have a total of 3 defective parts and 17 working parts. Therefore, the new Beta distribution is Beta(3, 17).

(d) Using the Beta(3, 17) distribution, we want to find P(.15 ≤p ≤.25). Again, we can use a Beta distribution calculator or software to find this probability, which is approximately 0.004. This probability is smaller than the one we found in part (b) because the second sample had a lower proportion of defective parts, which reduced our uncertainty about the true defect rate.

Learn more about Beta distribution:

https://brainly.com/question/30457451

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What conclusion can be determined by the dot plot

Answers

Dot plots are useful for visualizing the distribution of data and identifying patterns, trends, and outliers. They are often used in data analysis, quality control, and scientific research to help draw conclusions and make informed decisions based on data.

A dot plot is a graphical representation of statistics that presents character information factors through the use of dots. From a dot plot, possible decide several conclusions, depending on the data being displayed.

For instance, if the dot plot presents information on the height of a collection of people, you can still determine the range of heights inside the organization, the most common top, and any outliers (i.e., individuals with severe heights).

If the dot plot displays facts at the ratings of a collection of students on a test, you can still determine the range of rankings, the median score, and the distribution of rankings (i.e., whether or not the ratings are evenly distributed or clustered round sure values).

Learn more about the dot plot​:

brainly.com/question/21862696

The complete question is:

What conclusion can be determined by the dot plot? Explain in detail about the dot plot.

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