Find the length of the third side. if necessary, round to the nearest tenth of 1 and 3

Answers

Answer 1

Using the Pythagorean theorem we know that the third side is 15 units.

What is the Pythagorean theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a² + b², are equal to the squares on the legs.

To determine c, use the Pythagorean Theorem as follows:

a² + b² = c²

9² + 12² = c²

81 + 144 = c²

225 = c

c² = 225

c = √(225)

c = 15

Therefore, using the Pythagorean theorem we know that the third side is 15 units.

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Correct question:

Find the length of the third side. If necessary, round to the nearest tenth.

12 and 9

Find The Length Of The Third Side. If Necessary, Round To The Nearest Tenth Of 1 And 3

Related Questions

What expression is or is not equivalent, what is the answer?

Answers

Answer:
A and B

Step-by-step explanation:

-10/3= -3.33333333333

(- (-10))/(-3)= -10/3, (negative sign being erased)

=-3.33333333333

hope it helped:)

What did Maleuvre write about Gauguin's views on Polynesian women?

Answers

Answer:

Step-by-step explanation:

Observation of the real life and way of life of the peoples of Oceania are intertwined in them with local myths.

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

Step-by-step explanation:

You are looking for the tangent ratio, which is opposite side over adjacent side.  Using the tangent ratio of an angle of 37°.

tan37° = x/89

.75355405 = x/89

.75355405 · 89 = x/89 · 89/1

67.06 = x

rounded to 67.1

Answer:

67.1? that's what I got lol

Correct answer gets brainliest!!!!

Answers

Answer:

a) 5

Step-by-step explanation:

the question say how many zero-dimensional objects are labeled on the object. so, you would count how many blue dots you see on the object, as you can see their are four dots on the the bottom, and one dot at the top.

so, 4 dots + 1 dot = ?

5 blue dots

so your answer is 5.

hopefully this helps, let me know if it doesn't.

1. Josh said that the square root of 100 is a perfect square and a perfect cube. Is Josh correct? Explain your reasoning. ​

Answers

Josh is incorrect because 100 is perfect square not a perfect cube.

We have the number 100.

Now, factorising the number 100 as

100 = 2 x 2 x 5 x 5

100= (2 x 5)  x ( 2x 5)

100 = 10 x 10

As, 100 can be factorised as 10 x 10 which shows 100 is prefect square of 10.

But 100 is not a perfect cube because for the cube we need pair of three number.

Thus, Josh is incorrect.

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a triangle has vertices P(-4,8), I (0,2) and N (4,-2). What are. the coordinates of the centroid of the triangle

Answers

The coordinates for the centroid of the triangle is (0, 2.67)

How do we calculate the centroid of the triangle?

The centroid of a triangle is the place where the three medians of the triangle meet or intersect.

To find the centroid of the triangle, we use the formula

(x₁ + x₂ + x₃)/3 , (y₁ + y₂ + y₃)/3

We add all the x coordinates together and divide by 3, we also do the same for the y coordinates.

It becomes x = (-4 + 0 + 4)/3  

y = (8 + 2 + (-2))/3

Therefore, the centroid is (0, 2.67)

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Divide and state the quotient in simplest form.

Answers

The quotient of the two fractions is (x - 5) / (x - 4).

Option D is the correct answer.

We have,

To divide two fractions, we can multiply the first fraction by the reciprocal of the second fraction.

In this case, that means we need to multiply:

(x² - 2x - 15) / (x + 2) x (x + 2) / (x² - x - 12)

Notice that the (x + 2) terms in the numerator and denominator of the first fraction cancel out with the denominator of the second fraction, so we can simplify before multiplying:

(x² - 2x - 15) / 1 x 1 / (x² - x - 12)

Now we can multiply the numerators and the denominators separately:

(x² - 2x - 15) / (x² - x - 12)

To simplify further, we can factor both the numerator and the denominator:

(x - 5)(x + 3) / (x - 4)(x + 3)

Notice that the (x + 3) terms in the numerator and denominator cancel out, leaving:

(x - 5) / (x - 4)

Therefore,

The quotient of the two fractions is (x - 5) / (x - 4).

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The 20 members of the photography club are trying to raise at least $1,400 for
new photography equipment. They have already raised $540.
Let m represent the amount of money each member must raise, on average, to meet
their goal. Write an expression for the total amount of money going to be raised.
b Write an equation that represents the club raising all the money.
с
Solve the equation. What does the solution mean in context of the scenario?
d Write an inequality representing the amount of money each member must raise,
on average, to meet or exceed their goal.
Write an inequality showing the possible average amount of money each club member
needs to raise.

Answers

Answer:

i dont know if this helps, im not sure if you are telling me to do all of these things or B, c, d are answer

Step-by-step explanation:

To find the total amount of money that the photography club will raise to meet their goal, we can multiply the average amount of money each member must raise by the number of members in the club:

Average amount of money each member must raise = m

Number of members in the club = 20

Total amount of money to be raised = Average amount of money each member must raise x Number of members in the club

Total amount of money to be raised = m x 20

We know that the club is trying to raise at least $1,400, and they have already raised $540. Therefore, the amount of money they still need to raise is:

Amount of money still needed to reach goal = $1,400 - $540

Amount of money still needed to reach goal = $860

We can set up an equation to represent the total amount of money the club will raise to meet their goal:

Total amount of money to be raised = Amount of money still needed to reach goal

m x 20 = $860

We can solve for "m" by dividing both sides of the equation by 20:

m = $860 / 20

m = $43

Therefore, the total amount of money the club will raise to meet their goal is:

Total amount of money to be raised = Average amount of money each member must raise x Number of members in the club

Total amount of money to be raised = $43 x 20

Total amount of money to be raised = $860

B))) We can set up an equation to represent the total amount of money the club will raise to meet their goal:

Total amount of money to be raised = Amount of money already raised + Amount of money still needed to reach goal

We know that the club has already raised $540 and they need to raise $860 more to reach their goal of $1,400. Therefore, we can substitute these values in the equation:

Total amount of money to be raised = $540 + $860

Total amount of money to be raised = $1,400

So the equation that represents the club raising all the money is:

$1,400 = $540 + $860

C)))) To solve the equation:

$1,400 = $540 + $860

We can simplify the right-hand side of the equation by adding $540 and $860:

$1,400 = $1,400

This equation is true, which means that it is a consistent equation. The solution to this equation is that the club will be able to raise all the money they need to buy the new photography equipment.

In the context of the scenario, the solution means that the club will be able to meet their goal of raising at least $1,400 for new photography equipment. They have already raised $540, and they need to raise $860 more to reach their goal. The equation shows that the total amount of money they will raise is exactly $1,400, which is the amount they need to meet their goal.

D))))) To represent the amount of money each member must raise, on average, to meet or exceed their goal, we can use the following inequality:

Average amount of money each member must raise ≥ Total amount of money still needed to reach goal / Number of members in the club

We know that the total amount of money still needed to reach the goal is $860, and there are 20 members in the club. Therefore, we can substitute these values in the inequality:

Average amount of money each member must raise ≥ $860 / 20

To simplify the right-hand side of the inequality, we can divide $860 by 20:

Average amount of money each member must raise ≥ $43

This inequality shows that each member must raise at least $43, on average, to meet or exceed their goal of raising $1,400.

To show the possible average amount of money each club member needs to raise, we can use the following inequality:

0 < Average amount of money each member must raise ≤ Total amount of money still needed to reach goal / Number of members in the club

This inequality shows that the average amount of money each member must raise is greater than 0 (since each member must contribute something), but it is less than or equal to $43 (which is the minimum amount each member must raise to meet or exceed their goal).

(40 POINTS)

Data based on past observations can sometimes predict future performance.

a. Give an example where past performance does predict future performance. Explain your reasoning.


b. Give an example where past performance does not predict future performance. Explain your reasoning.

Answers

An example of where past performance does predict future performance would be Mt. Kīlauea's eruption in 2018.

An example of where past performance does not predict future performance would be the eruption of Hualālai last happening in 1801.

What does the data show on volcanoes ?

Using past data, there was a prediction that Mt. Kīlauea would erupt in the year 2018 and it did happen ( even though it was not very serious ) at the Lower East rift zone of the volcano. Past performance therefore predicted the future.

However, the same prediction said that Hualālai would erupt in 1854 and yet the volcano has not erupted since 1801 which shows that the prediction was wrong.

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Please answer a) b) and c)
I’ll give 65 points

Answers

a

1.5/4

b

0.5/4

c

0.5/4

because half of 3 is 1.5

Answer:

I'm pretty sure the answer is B(

Choose the correct Set-builder form for
the following set written in Roster form:
{4, 5, 6, 7, 8}

Answers

The value of correct Set-builder form is,

⇒ { x | x ∈ IR ; 4 ≤ x ≤ 8 }

We have to given that;

The set is,

⇒ {4, 5, 6, 7, 8}

Thus, We can write correct Set-builder form as,

⇒ {4, 5, 6, 7, 8}

⇒ { x | x ∈ IR ; 4 ≤ x ≤ 8 }

So, The value of correct Set-builder form is,

⇒ { x | x ∈ IR ; 4 ≤ x ≤ 8 }

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Harvey’s pizzeria has three pizza sizes he wants to work out the outside measurement (circumference) of each size to work out how much cheese he will need for a stuff crust.

Match the correct circumference of each pizza using the diameter given.

Small –
Medium-
Large-

Answers

The circumference of the small pizza is approximately 47.1 cm, the circumference of the medium pizza is approximately 69.1 cm, and the circumference of the large pizza is approximately 94.2 cm.

The diameter is the distance across the widest part of a circle. To find the circumference of a circle, we use the formula C = πd, where C is the circumference, π is a mathematical constant (approximated as 3.14), and d is the diameter of the circle. Therefore, to find the circumference of each pizza size, we can simply plug in the given diameter into this formula.

For the small pizza with a diameter of 15 cm, the circumference can be calculated as follows:

C = πd

C = 3.14 x 15

C ≈ 47.1 cm

For the medium pizza with a diameter of 22 cm, the circumference can be calculated as follows:

C = πd

C = 3.14 x 22

C ≈ 69.1 cm

For the large pizza with a diameter of 30 cm, the circumference can be calculated as follows:

C = πd

C = 3.14 x 30

C ≈ 94.2 cm

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solve all four parts

Answers

The rocket will hit the ground after 19.09 seconds.

How to calculate projectile

a) The height of the rocket can be describe as:

h(t) = -16t² + 210t + 75

where

t = time in seconds

h(t) = height of the rocket in feet

b) To find the time at which the rocket reaches its maximum height, we need to find the vertex of the parabolic function. The vertex is given by the formula:

t = -b/(2a)

where

a = -16

b = 210

Substituting these values, we get:

t = -210/(2(-16)) = 6.5625 seconds

To find the maximum height, we substitute this value of t back into the equation for h(t):

h(6.5625) = -16(6.5625)² + 210(6.5625) + 75 = 690.625 feet

This means that the rocket reaches its maximum height of 690.625 feet after 6.5625 seconds.

c) We need to find the time interval during which the height of the rocket is greater than 721 feet. We set the height function h(t) greater than 721 and solve for t:

-16t² + 210t + 75 > 721

-16t² + 210t - 646 > 0

Solving for t using the quadratic formula, we get:

t < 2.975 or t > 14.038

Therefore, the rocket will be more than 721 feet above ground level between 0 and 2.975 seconds, and between 14.038 and infinity seconds.

d) To find the time at which the rocket hits the ground, we set h(t) equal to 0 and solve for t:

-16t² + 210t + 75 = 0

Solving for t using the quadratic formula, we get:

t = [tex]\frac{-b \± \sqrt{b^{2} - 4ac } }{2a}[/tex]

a = -16, b = 210, c = 75

t = [tex]\frac{-210 \± \sqrt{210^{2} - 4(16)(75) } }{2(-16)}[/tex]

t = [tex]\frac{-210 \± \sqrt{22225} }{-32}[/tex]

t = [tex]\frac{-210 \± 149}{-32}[/tex]

t = 2.53125 or t = 13.53125

Since the rocket was launched from the top of a 75-foot building, it will hit the ground after an additional time of:

t + 2.53125 = 5.09375 seconds or t + 13.53125 = 19.09375 seconds

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Gianah lives in Milton. She bought a bus ticket to travel to her cousin's house in Orlando. She gets on the bus in Milton. The distance between the two cities is 695 kilometers and the bus drives 70 kilometers per hour.

If the bus is kilometers away from Orlando, which of the following equations represents the hours, h, the bus has traveled?

Answers

695 divided by 70=9.92 hours

Taylor has a gift box that is 6 inches long,5 inches high,and 3 inches wide.What is the surface area of the gift box in square inches?

Answers

The answer is 126. A=2(wl+hl+hw)

If a, b, c are in H.P.; prove that b+ca+ca+b ac' ab bc are also in A.P.​

Answers

If a, b, c are in Harmonic Progression, b+ca+ca+b ac' ab bc are in Arithmetic Progression.

How to prove Harmonic Progression and Arithmetic Progression?

Given a, b, c are in H.P.:

1/a + 1/b = 2/c

Multiplying both sides by abc:

bc + ac = 2ab

Adding c to both sides:

bc + ac + c = 2ab + c

Rearranging the terms:

c + ab = ac + bc

Adding the terms b + ca and ca + b to both sides:

b + ca + ca + b + ac' + ab + bc = ac + bc + b + ca + ca + b

Simplifying:

b + ca + ca + b + ac' + ab + bc = 2ac + 2b

Dividing both sides by 2:

(b + ca + ca + b + ac' + ab + bc)/2 = ac + b

Hence, b+ca+ca+b ac' ab bc are in A.P.

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7.003x10^-5 in standard form​

Answers

Answer:

0.00007003 is the standard form of 7.003x10^-5. In scientific notation, the number is expressed as 7.003 multiplied by 10 raised to the power of negative five. To convert it to standard form, the decimal point has to move to the left by five places since the exponent is negative. The resulting number is a decimal with four zeros before the first nonzero digit. Standard form is a way of representing numbers that does not use exponents and is useful in comparing and performing operations on numbers.

CAN SOMEONE HELP WITH THIS QUESTION?

Answers

When you divide the production cost by the pages you should get 1,093.15789

Question 1b Match each expression on the left with an equivalent expression on the right. Some answer options on the left side will be used more than once. 132 ÷ 11 28 2 288 126 7)98 sixty-four divided by four Jestion ID: 29430 Clear 1b of 12 48 3 36 ÷ 2 36 ÷ 3 Click and hold an item in one column, then drag it to the matching item in the other column. Be sure your cursor is over the target before releasing. ​

Answers

The equivalent expression for the given expression 132/11 is 12.

1) Given that, 132/11

Here, the equivalent expression is 132/11 =12

2) 126/7 = 18

3) 7)98(14

      7

_______

     28

     28

________

      0

4) Sixty-four divided by four

That is, 64/4 = 16

5) 28÷2

= 28/2

= 14

6) 28/2 = 14

7) 48/3 = 16

8) 36÷2

= 36/2

= 18

9) 36÷3

= 36/3

= 12

Therefore, the equivalent expression for the given expression 132/11 is 12.

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Draw and describe the plane section that results from the following cut: a cylinder cut parallel to the base.

Answers

When a cylinder is cut parallel to its base, the plane section that results is a circle. This circle will have the same radius as the cylinder's base. The center of the circle will be located at the center of the cylinder's base. This type of cut will create a circular cross-section that is parallel to the base of the cylinder.

Level E: The repair department of the bicycle shop repairs three things: flat tires, bent handle bars and ripped seats. Today in the repair department, 25% of the bikes had flat tires only, 5% had bent handlebars only, and 10% had ripped seats only. Just 1/12th of the bikes had all three repairs to do: flat tires, bent handlebars and ripped seats. No bikes were completely fixed and there are a total of 101 repairs to be made. How many bikes are in the repair department? How many bikes need two repairs? If less than half of all the bikes have a ripped seat, what is the range of bikes that need both the tires and handlebars repaired without needing to fix the seat?​

Answers

There are 960 bikes in the repair department and  1.98% of the bikes need two repairs.

The number of bikes with flat tires only is 0.25x, where x is the total number of bikes

The number of bikes with bent handlebars only is 0.05x

The number of bikes with ripped seats only is 0.1x

The number of bikes that need two repairs is 0.01Tx, where T is the percentage of bikes that need two repairs (expressed as a decimal)

The number of bikes that need all three repairs is 0.0833...x

So we have the equation:

0.25x + 0.05x + 0.1x + 0.01Tx + 0.0833...x = 101

Simplifying and solving for x, we get:

x = 960

So there are 960 bikes in the repair department.

To find the number of bikes that need two repairs, we can use the equation:

0.25x + 0.05x + 0.1x + 0.01Tx = 101 - 0.0833...x

Substituting x = 960, we get:

0.25(960) + 0.05(960) + 0.1(960) + 0.01T(960) = 101 - 0.0833...(960)

240 + 48 + 96 + 9.6T = 101 - 80

9.6T = 19

T = 1.98

About 1.98% of the bikes need two repairs.

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how many miles is 60,000 inches

Answers

Answer:

it is 0.94 miles

Step-by-step explanation:

that is because to make a mile you need 63,360 but since you have 60,000 it is not technically a mile

Shane has 2 white shirts, 2 blue ones and 1 red one, He has gray pants and black pants. He hung them all up on hangers in his closet, but one shirt and a pair of pants fell on the floor. The probability that a red shirt and black slacks are on the floor is

Answers

The probability that a red shirt and black slacks are on the floor is 1/10.

What is the probability?

Probability is the odds that a random event would happen. The odds that the event would happen has a probability value that lies between 0 and 1.

Probability that a red shirt and black slacks are on the floor = (number of red shirts / total number of shirts) x (number of black slacks / total number of slacks)

Total number of shirts = 2 + 2 + 1 = 5

Total number of slacks = 1 + 1 = 2

(1/5) x (1/2) = 1 /1 0

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‼️‼️‼️WILL MARK BRAINLIEST IF HELPFUL‼️‼️‼️

Answers

Answer:

2π(10^2) + 2π(10)(16)

= 2π(100) + 2π(160)

= 200π + 320π

= 520π ft^2


2. Triangle ABC with A(2, 3), B(7, -1), and C(-4, 2) is reflected across the line x = -2. Find the
coordinates of B'

Answers

Answer:

B’ = (-11, 1)

Step-by-step explanation:

Because the triangle is reflected across the line x = -2, it is being reflected across a vertical line.

Therefore only the x-coordinate will change.

As B is 9 units right of the line x = 2, the coordinates of B’ will be (-2 - 9, 1)

Which will be (-11, 1)

Each ice cube measures 1.2in high and 1in in diameter. What is the volume of all 3 ice cubes

Answers

Answer:

[tex]\sf V_{3 Cylinders} =2.8274(in^{3} ).[/tex]

Step-by-step explanation:

1. Find a formula for the volume (assuming the shape of the ice cubes is cylindrical).

From the provided information about the ice cubes (height and diameter), it's safe to assume that they are cylinder shaped ice cubes. They could be circular cone ice cubes, but the safest assumption is cylinders. Now, to find the volume of a cylinder we use the following formula:

[tex]\sf V_{Cylinder} =\pi r^{2} h[/tex] or [tex]\dfrac{\pi d^{2} h}{4}[/tex].

For the fist equation, "r" stands for radius, and "h" for height.

On the alternate equation, "d" stands for diameter.

2. Calculate.

Since we're given the diameter and height, let's use the alternate equation:

[tex]\sf V_{Cylinder} =\dfrac{\pi (1(in))^{2} 1.2(in)}{4}=\dfrac{3}{10} \pi (in^{3} )=0.9425(in^{3} ).[/tex]

3. Calculate the volume of the 3 cubes.

This can be done by just multiplying the volume of a single cube ([tex]\dfrac{3}{10} \pi (in^{2} )[/tex]) by 3.

[tex]\sf V_{3 Cylinders} =(3)\dfrac{3}{10} \pi (in^{3} )=\dfrac{9}{10} \pi (in^{3} )=\boxed{\sf 2.8274(in^{3} )}.[/tex]

4. Alternative answer (assuminng the ice cubes have a circular cone shape).

Assuming the ice cubes have the shape of a circular cone, this is the process for calculating the volume of all 3 cubes:

[tex]\sf V_{Cone} =\dfrac{1}{3} \pi r^{2} h\\ \\\\ \\ V_{3Cones} =3*\dfrac{1}{3} \pi r^{2} h\\ \\ \\= \pi r^{2} h\\ \\ \\=\pi (\dfrac{1(in)}{2} )^{2} (1.2(in))\\ \\\\ =\dfrac{3}{10} \pi (in^{3} )=\boxed{\sf 0.9425(in^{3} )}[/tex]

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

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The average score of 22 students on a math online quiz is 86.3 with a standard deviation of 7.2. The average population score is 83.5. What is the
t-value?

Answers

Based the provided information, the t-value is approximately 1.824.

How do we determine the t-value?

We shall work out the t-value by calculating the difference between the sample mean and the population mean, divided by the standard error of the mean.

We shall use the t-test formula to calculate the t-value:

t = (sample mean - population mean) / (sample standard deviation / [tex]\sqrt(sample size)[/tex])

where:

sample mean = 86.3

population mean = 83.5

sample standard deviation = 7.2

sample size = 22

Plugging in these values, we have:

t = (86.3 - 83.5) / (7.2 / √22)

t = 2.8 / (7.2 / 4.69)

t = 2.8 / 1.535

t ≈ 1.824

Therefore, the t-value is approximately 1.824.

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On Saturday, the temperature was 75.5°F. The temperature rose by 6°F on Sunday, then dropped by 3.5°F on Monday. What was the temperature, in degrees Fahrenheit, on Monday?

Answers

Answer:

78°F

Step-by-step explanation:

If the temperature was 75.5°F, and it rose by 6°F on Sunday, then the temperature on Sunday was:

75.5°F + 6°F = 81.5°F

If the temperature on Sunday was 81.5°F, and it dropped by 3.5°F on Monday, then the temperature on Monday was:

81.5°F - 3.5°F = 78°F

Therefore, the temperature on Monday was 78°F.



find the inverse given T(y)=6.056y+601.39

Answers

Answer:

5 (100y -601.39)

3028

Step-by-step explanation:

An angle measures 158.2° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

the 2 angles are 169.1° and 10.9°

Step-by-step explanation:

Supplementary angles add to 180

x = first angle

y = second angle = x - 158.2

x + y = 180

x + (x - 158.2) = 180

2x = 180 + 158.2

2x = 338.2

x = 338.2/2 = 169.1

y = 169.1 - 158.2 = 10.9

x + y = 169.1 + 10.9 = 180

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someone pls help me with this question!! The lengths of the bases of an isoscelestrapezoid are 20 and 44, and the lengthof the altitude is 16. find the length ofa leg of the trapezoid. Pick ONE of the following industries1.Fast foods burger outlets such as McDonalds, Wendy's and Burger King2.Automotive manufacturing firms such as Ford, GM and Toyota3.Cell phone services such as Bell, Rogers, Fido and Telusand explain one trend among the following factors- technological, competitive, social, political and legal trends that may necessitate change in that industry over the next 1-5-years period.Be as detailed as possible. For example, rather than stating that "new laws and regulations may be introduced" explain the specific laws and regulations that seem most likely to emerge and how they would impact the industry. Which genotype is not possible in the offspring produced by the cross Can someone please explain how to solve this question? Thanks! Sam cut a plank of wood into 4 pieces. He makes one cut at a time and each cut takes equally as long. He completes this task in 12 minutes. How long will it take him to cut another identical plank into only 3 pieces, working at the same pace? A researcher found that 66% of a sample of 14 infants had completed the hepatitis b vaccine series. can we conclude on the basis of these data that, in the sampled population, more than 60% have completed the series? use = 0.01. Landon was comparing the price of apple juice at two stores. The equation y=0. 96xy=0. 96x represents what Landon would pay in dollars and cents, yy, for xx bottles of apple juice at store A. Landon can buy 14 bottles of apple juice at Store B for a total cost of $34. 16 What is the simplified form of the following expression ? 25xy * sqrt(81/625 *x^2*y ^2) A. 9/25 * x * y B. 9/625 * x ^ 2 * y ^ 2 C. 9xy|xy| D. 9x ^ 2 * y ^ 2 In UVW, w = 5. 3 inches, v = 3. 6 inches and V=32. Find all possible values of W, to the nearest 10th of a degree What is the failure rate of all new businesses? what is the failure rate of all new franchises? what inferences can you make from these numbers? explain your answer In example 17. 5, if the grating had 500 lines/mm but everything else about the experiment were the same, would the two yellow fringes be farther apart or closer together on the screen?. When solutions of two ionic compounds are combined and a solid forms, the process is called:. An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 39 type K batteries and a sample of 57 type Q batteries. The type K batteries have a mean voltage of 8. 55, and the population standard deviation is known to be 0. 683. The type Q batteries have a mean voltage of 8. 82, and the population standard deviation is known to be 0. 791. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let 1 be the true mean voltage for type K batteries and 2 be the true mean voltage for type Q batteries. Use a 0. 02 level of significance. Step 1 of 5 : State the null and alternative hypotheses for the test A farmer sell 7. 9 kilograms of pears and apples at the farmers market. 3/5 of this wieght is pears,and the rest is apples. How many apples did she sell at the farmers market? Anika just learned that Mars was the Roman god of war. Now she is reading this passage about a Civil War battle.The small building stood alone on the long stretch of empty land where the Battle of Antietam had taken place. It looks peaceful now, but on September 17, 1862, it was a very different scene. That day soldiers from both the North and South entered the field with a martial stride. Shots thundered across the land as soldiers fell.What is the meaning of the word martial? A. loud B. warlike C. forceful D. determined For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. How much will Nicole make after babysitting for 8 hours? Choose the correct symbol to compare the expressions. Do not multiply. 7210?7 A recipe for maroon paint says, "mix 5 ml of red paint with 3 ml of blue paint."use snap cubes to represent the amounts of red and blue paint in the recipe. then, draw a sketch of your snap-cube representation of the maroon paint.what amount does each cube represent? A can of soda can be modeled as a right cylinder. Nicole measures its height as 11.4 cm and volume as 144 cubic centimeters. Find the cans diameter in centimeters. Round your answer to the nearest tenth if necessary.