I I need help with numbers 17

I I Need Help With Numbers 17

Answers

Answer 1

Answer:

40.07 and 40.070...

Step-by-step explanation:

(4×10)+(7×1/100)

40+0.07

40.07 or 40.070(as the extra zeros don't count)

Hope you're having a splendiferous day or night.

Answer 2

Answer:

The two decimals are 40.07 and 40.070 that are equivalent to (4 × 10) + (7 × 1/100)

Step-by-step explanation:

(4 × 10) + (7 × 1/100)

40 + (7 × 0.01)

40 + 0.07

40.07 or 40.070 or 40.07000..

Thus, The two decimals are 40.07 and 40.070 that are equivalent to (4 × 10) + (7 × 1/100)

-TheUnknownScientist 72


Related Questions

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each linear model to its inverse.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match each linear

Answers

Answer:

4x + 3y = 6 is: y = 3/4x - 3/2

3x + 4y = -6 is: y = 4/3x - 2

3x - 4y = 6 is: y = 4/3x + 2

4x - 3y = -6 is: -3/4x - 3/2

Hope this helps! :)

The correct matches are,

4x + 3y = 6 is: y = 3/4x - 3/2

3x + 4y = -6 is: y = 4/3x - 2

3x - 4y = 6 is: y = 4/3x + 2

4x - 3y = -6 is: y=-3/4x - 3/2

We have given that,

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

What is the linear model?

The term linear model is used in different ways according to the context. The most common occurrence is in connection with regression models and the term is often taken as synonymous with a linear regression model.

Match each linear model to its inverse.

Therefore the correct matches

4x + 3y = 6 is: y = 3/4x - 3/2

3x + 4y = -6 is: y = 4/3x - 2

3x - 4y = 6 is: y = 4/3x + 2

4x - 3y = -6 is: y=-3/4x - 3/2

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Find the area of each triangle with the given heights and bases. a. h = 6 inches; b = 10 inches b. h = 9 centimeters; b = 4 centimeters c. h = 13 yards; b = 20 yards The triangular top of an end table has a height of 32 centimeters and a base of 40 centimeters. What is the surface area of the top of the table? A Triangle Sondra wants to put a fence in a triangular area of her backyard as shown in the illustration. The fence will enclose a right triangle, with two of the sides measuring 8 yards and 15 yards long. How long will the third side of the triangle be? A Shape Susan has a flower bed that is shaped like a right triangle. Both sides of the right angle are six feet long. What is the length of the missing side? A Shape Use the Pythagorean theorem to find the length of each missing hypotenuse below. Remember: if the answer isn’t a perfect square, you can leave it in the square root form. Varies Shapes

Answers

The area of the first, second, and third is a triangle30square in,18 square cm,130 Square yards the surface area of the triangular top of the end table is  640 square centimetres the length of the third side of the triangle is 17 yards the length of the missing side of the right triangle is 6√2 feet.

According to the given information:

a. The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. Therefore, for the first triangle:

A = (1/2)(10 in)(6 in) = 30 square inches

b. For the second triangle:

A = (1/2)(4 cm)(9 cm) = 18 square centimeters

c. For the third triangle:

A = (1/2)(20 yd)(13 yd) = 130 square yards

d. The surface area of the triangular top of the end table is also given by the formula A = (1/2)bh, where b is the base and h is the height. Therefore:

A = (1/2)(40 cm)(32 cm) = 640 square centimeters

e. Using the Pythagorean theorem, we can find the length of the third side of the right triangle:

c² = a² + b²

c² = 8² + 15²

c² = 289

c = √289

c = 17 yards

Therefore, the length of the third side of the triangle is 17 yards.

f. Using the Pythagorean theorem, we can find the length of the missing side of the right triangle:

c² = a² + b²

c² = 6² + 6²

c² = 72

c = √72

c = 6√2 feet

Therefore, the length of the missing side of the right triangle is 6√2 feet.

g. The length of the missing hypotenuse can be found using the Pythagorean theorem:

c² = 3² + 4²

c² = 9 + 16

c² = 25

c = √25

c = 5

Therefore, the length of the missing hypotenuse is 5.

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Answer:

a. a2 + b2 = c2

a2 + (12 in.)2 = (20 in.)2

a2 + 144 sq. in. = 400 sq. in.

a2 = 144 sq. in. – 144 sq. in. = 400 sq. in. – 144 sq. in.

a2 = 256 sq. in.

√a2 = 256 sq. in.

a = 16 in.

Answer: The length of the missing side is 16 inches.

b. a2 + b2 = c2

(7 cm)2 + b2 = (25 cm)2

49 cm2 +  b2 = 625 cm2

49 cm2 – 49 cm2 + b2 = 625 cm2 – 49 cm2

b2 = 576 cm2

√b2 = √576 cm2

b = 24 cm

Answer: The length of the missing side is 24 centimeters.

c. a2 + b2 = c2

(8 yd.)2 + (15 yd.)2 = c2

64 sq. yd. + 225 sq. yd = c2

289 sq. yd. = c2

√289 sq. yd. = √c2

17 yd. = c

Answer: The third side of the fence will be 17 yards long.

Step-by-step explanation:

Each of 350 guests will be served two chocolate-dipped strawberries. How many pounds of straw- berries should you purchase?

Answers

To serve two chocolate-dipped strawberries to each of the 350 guests, you should buy about 21.875 pounds of strawberries.

How many pounds of strawberries will I need to serve 700 people?

There are some straightforward adjustments you need to make if your recipe calls for a pint  of fresh strawberries. A pint weighs around 3/4 pounds . So, you would require about 525 pounds of strawberries to feed 700 visitors.

Assume that two strawberries covered in chocolate weigh 1 ounce each. One strawberry therefore weighs 1/2 ounce.

By dividing the weight of one strawberry by the total quantity of strawberries required, we can calculate the total weight of strawberries required:

Strawberries' total weight = (one strawberry's weight) x. (total number of strawberries needed)

Total strawberries required = (number of guests) x (number of strawberries per guest)

The total quantity of strawberries required is: Assuming that there will be 350 guests and that everyone will receive two chocolate-dipped strawberries:

350 multiplied by two equals 700 strawberries in total.

The total amount of strawberries required is thus:

350 ounces of strawberries total weight is (half an ounce each strawberry) multiplied by 700 strawberries.

Since there are 16 ounces in a pound, the total weight of strawberries must be divided by 16 to convert to pounds:

strawberries weigh 21.875 pounds total (350 ounces divided by 16 ounces per pound).

For each of the 350 guests to receive two chocolate-covered strawberries, you should buy about 21.875 pounds of strawberries.

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Graph: 3x + 5y = 15
Plz help

Answers

Answer: y=-3/5x+3

Graph the points (0,3) and (5,0) and draw a line going through them

Answer:

Picture below

Step-by-step explanation:

If you need any more help with this kind of problem just ask or you can use Desmos.

Hope this helps!

Graph: 3x + 5y = 15Plz help

Solve the system by substitution. Check your solution.
0.5 x + 0.25 y = 36. y + 18 = 16 x.
a.
(36, 72)
c.
(49, 81)
b.
(9, 126)
d.
(21, 9)



Please select the best answer from the choices provided

Answers

Answer: b

Hope this helps

Using the logarithm, solve the following equation for x.
6400 = (8) (2^4x)

Answers

Answer:

x = 2.411

Step-by-step explanation:

6400 = (8) (2^(4x))

Divide both sides by 8 to get;

6400/8 = (2^(4x))

800 = (2^(4x))

Using logarithms, we can solve as;

Log 800 = 4xLog 2

4x = Log800/Log2

4x = 2.9031/0.3010

4x = 9.6449

x = 9.6449/4

x ≈ 2.411



HELP PLEASE IM BEGGING YOU

Which equation is a point slope form equation for line AB?
Oy-3=2(x - 2)
Oy-6=2(x - 5)
Oy-5=2(x - 6)
Oy+2=2(x+3)

HELP PLEASE IM BEGGING YOU Which equation is a point slope form equation for line AB?Oy-3=2(x - 2)Oy-6=2(x

Answers

Answer:

y-6=2(x-5)

I hope this is good enough:

HELP PLEASE IM BEGGING YOU Which equation is a point slope form equation for line AB?Oy-3=2(x - 2)Oy-6=2(x

The distance from the origin to the point (-15,36) is

Answers

The distance from the origin to the point (-15, 36) is 39 units.

How to calculate the distance between the two points?

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represents the data points (coordinates) on a cartesian coordinate.

Note: The origin is denoted by the coordinates (0, 0).

Substituting the given parameters into the distance formula, we have the following;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-15 - 0)² + (36 - 0)²]

Distance = √[15² + 36²]

Distance = √[225 + 1,296]

Distance = √1,521

Distance = 39 units.

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When Lauren left her house in the morning her cell phone battery was partially charged the charge remaining in Lawrence battery as a percentage can be modelled by the equation B equal 63 - 70where T is the number of hours since Lauren left her house what is the X intercept of the equation and what is its interpretation in the context of the problem

Answers

Answer: Intercept of the equation = (9,0)

Charge remaining in Lauren's battery is 0 after 9 hours( since Lauren left her house)

Step-by-step explanation:

Given: When t= the number of hours since Lauren left her house, the charge remaining in Lauren's battery, as a percentage, can be modeled by the equation B=63-7t .

To find the x-intercept, put B =0  (as x denoted the independent variable , here independent variable is 't')

Hence, the x-intercept of the equation = (9,0)

i.e. Charge remaining in Lauren's battery is 0 after 9 hours( since Lauren left her house)

Caroline works in her family restaurant waiting on tables. She is $8.25 per hour for all hours up to 37 in one week and then time and a half for any hours over 37 worked in one week. What would her gross earnings for a week be in which she worked 45 hours?

Answers

Answer:

404.25 dollars

Step-by-step explanation:

First, we do 8.35 times 37, and we get 305.25.

Next, we subtract 37 from 45 and get 8.

Then, we do divide 8.25 in half, and get 4.125.

After that we add 4.125 to 8.25 and get 12.375.

Then we do 12.375 times 8 and get 99

Finally, we add 99 and 305.25 together and get 404.25 dollars.

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

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

Answers

Using Trigonometry, the value of x in the right triangle is 17.1

Since we have a right angle triangle ; The angle L can be obtained thus ;

L = 180 - (90+67)

L = 23

Using Trigonometry:

Sin23° = opposite/ hypotenuse

Opposite= 6.7

hypotenuse= x

Sin23° = 6.7/x

x = 6.7/sin(23°)

x = 17.14

Therefore, the value of x to the nearest tenth is 17.1

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Help !!
centimeters and millimeters <3

Help !! centimeters and millimeters &lt;3

Answers

1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

How to compare centimeters and millimeters ?

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?​

Answers

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Instructions: Identify the type of sequence and write the explicit rule. write Explicit Rule Sequence: -39, -45, 51, 57,... Type: Arithmetic e Explicit Rule: ​

Answers

The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.

To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...

By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.

Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.

Let's calculate the differences between consecutive terms:

-45 - (-39) = -6

51 - (-45) = 96

57 - 51 = 6

From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.

Let's calculate the ratios between consecutive terms:

-45 / (-39) ≈ 1.1538

51 / (-45) ≈ -1.1333

57 / 51 ≈ 1.1176

The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.

Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.

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20.4yd rounded to the nearest tenth use 3.14 as pi

Answers

Answer:

6

Step-by-step explanation:

Complete the square to re-write the quadratic function in vertex form:
y= x2 - 5x +9
Answer: y =
Submit Answer

Answers

After that x=-(-5/2*1)
Complete the square to re-write the quadratic function in vertex form:y= x2 - 5x +9Answer: y =Submit

Alice says all the factors of 8 are even, write down an example Alice is wrong

Answers

Answer:

,1,2,4,6,5,7,9,3,

Step-by-step explanation:

1,

2,4,6

Answer:

Alice is wrong because if you go up in factors it goes 1 2 4 8 and 1 is an odd number so its wrong

Step-by-step explanation:

The quadratic equation y = -16t^2 + 4t + 2 represents a moving object's trajectory where y is the object's height in feet above the ground after t seconds. At what time will the object hit the ground?
a.) 2 seconds

b.) 0.25 seconds

c.) 0.5 seconds

d.) 1 second

Answers

Answer:

c. o.5seconds

Step-by-step explanation:

y=-16t^2 +4t+2

=-2(8t^2 -2t-1)

=-2(8t^2 -4t+2t-1)

as the object hits the ground y =0

0 =-2(4t+1)(2t-1)

(4t+1)(2t-1)=0

t=-1/4 meangless

t=1/2

=0.5seconds

The time at which the object hit the ground is 0.5 second.

The correct option is (C).

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .

Given:

y= -16t² +4t+2

Now, the time at which the object hit the ground

y = 0

-16t² +4t+2 = 0

-2(8t² -2t-1) = 0

8t² -2t-1 = 0

8t² -4t + 2t -1 = 0

(4t+1)(2t-1) = 0

So, 4t+ 1= 0 or 2t- 1=0

t= -1/4 or t = 1/2.

Hence, the object will hit the ground at t= 0.5 second.

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Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = −x2 + 2x, [0, 2]
Yes, Rolle's Theorem can be applied.
No, because f is not continuous on the closed interval [a, b].
No, because f is not differentiable in the open interval (a, b).
No, because f(a) ≠ f(b).

Answers

Answer:

A) Yes, Rolle's Theorem can be applied!

Step-by-step explanation:

Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b.

Here, for our continuous function \(f(x)=-x^2+2x\) over the closed interval \([0,2]\), we can tell that the function is clearly differentiable over the interval \((0,2)\) as \(f'(x)=-2x+2\), so we'll need to check if \(f(0)=f(2)\):

\(f(0)=-0^2+2(0)=0\\f(2)=-(2)^2+2(2)=-4+4=0\)

Next, we'll need to check if f'(x) = 0 for some x within the closed interval:

\(f'(x)=-2x+2=0\\-2x+2=0\\-2x=-2\\x=1\)

As x=1 is contained in [0,2] and the previous conditions were met, Rolle's Theorem can be applied!

What is 3 ^ 3 * 2 ^ 2 - 3 ^ 3

Answers

\(3 ^ 3*2 ^ 2 - 3 ^ 3\)

27 * 4 - 27

= 81

help pleaseeeeeeeeeeeeeeeeee

help pleaseeeeeeeeeeeeeeeeee

Answers

D- The forces are balanced.
20N pushing against another 20N pushing cancels each other out, subsequently balancing the forces.

A beautician makes a 14.3% peroxide solution by mixing some 5% peroxide solution with some 20% peroxide solution. How much 5% peroxide solution does the beautician use to make 109 ounces of 14.3% peroxide solution?

Answers

The question is first given in percentages. However, the requirement is to find the actual weight of the substance.

Given the value of the weight of a single fraction in the combination, we can get the weights of the other samples.

We'll thus have:

\(0.05x+0.2(109-x)=0.143(109)\)

Next, we solve for x

\(\begin{gathered} 0.05x+21.8-0.2x=15.587 \\ 0.05x-0.2x=15.587-21.8 \\ -0.15x=-6.213 \\ \text{Divide both sides by -0.15} \\ x=41.42 \end{gathered}\)

ANS = 41.42

On June 22nd, 2010, the S&P 500 was down 17.89 points to close at 1095.31.

3.
What was the value of the S&P
500 before the open on June
22nd, 2010?

4.
By how many percent change points was the S&P 500 down on June 22, 2010
round the answer to the nearest hundredth of a percent?

Answers

The value of the S & P 500 before the open on June 22nd, 2010 is 1,113.20 points.

The percent change points is -1.61%/

What is the percent change?

The value of the S & P 500 before the open would be higher than the value at the close of June 22nd, 2010. This was because the index declined over the day.

Value before the open of June 22nd, 2010 = value at the close + change

17.89 + 1095.31 = 1,113.20 points

Percentage change = (change in points / points before open) x 100

(-17.89 /1,113.20) x 100 = -1.61%

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Where is the nearest bank? Can you tell me.............?
it reported question​

Answers

Answer:

rural bank BDO Network Bank-

What Number makes the number sentence true 92+87= +92

Answers

Answer:

\(\pmb{\frak{ 87}}\)

Step-by-step explanation:

The Number makes the number sentence true 92+87= __+92 is

92+87=87+92

179=179

HENCE

the number is 87.

Step-by-step explanation:

87 is the answer of this question

okokkoookkokkk

I need the answers for the table below.

I need the answers for the table below.

Answers

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

tan(πx)/7x

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Is the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?

Answers

Let's analyze each scenario:

1. A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?

In this case, the spinner's outcome of landing on region three is independent of landing on region six. Each spin is unrelated to the previous spin, and the outcome of one region does not affect the outcome of the other region. Therefore, the events are independent. The probability of landing on both region three and region six is the product of their individual probabilities: 1/8 * 1/8 = 1/64.

2. A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?

In this scenario, the events are overlapping. A jersey can be both purple and have a number greater than 5 at the same time. Therefore, the probability of it being purple or having a number greater than 5 is the sum of their individual probabilities, minus the probability of the overlapping event (purple jerseys with a number greater than 5). There are 4 purple jerseys out of 10 total jerseys, and there is 1 jersey with a number greater than 5 out of 10. However, there is one jersey that satisfies both conditions (purple and number greater than 5), so we need to subtract it from the sum. So the probability is (4/10 + 1/10) - (1/10) = 4/10 = 2/5.

3. A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?

In this scenario, the events are mutually exclusive. A chocolate cannot be both a milk chocolate and have no peanuts inside at the same time. Therefore, the probability of it being a milk chocolate or having no peanuts inside is the sum of their individual probabilities. There are 6 milk chocolates out of 10 total chocolates, and there are 7 chocolates without peanuts out of 10. So the probability is 6/10 + 7/10 = 13/10, which is greater than 1. However, probabilities cannot exceed 1, so we need to take the maximum value of 1. Therefore, the probability is 1.

4. You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?

In this case, the events are independent. The outcome of the coin flip does not affect the outcome of the die roll. The probability of the coin landing heads up is 1/2, and the probability of the die showing an even number is 1/2. To find the probability of both events occurring, we multiply their individual probabilities: 1/2 * 1/2 = 1/4.

I hope this clarifies the nature of each event. Let me know if you have any further questions!

The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

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The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

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−0.22+�−0.33−0.22x+x−0.33x?

Answers

The answer to the equation −0.22x + x − 0.33x is 0.11x.

The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:

−0.22x + x − 0.33x = −0.22 + 0.33x

We then subtract x from both sides of the equation, resulting in:

−0.22x − x = −0.22 + 0.33x − x

We then combine like terms on the left side of the equation, resulting in:

−1.22x = −0.55

Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:

x = 0.11

Therefore, the answer is 0.11x.

Learn more about equation here:

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Complete question

What is the value of -0.22+−0.33−0.22x+x−0.33x?

Solve the following for θ, in radians, where 0≤θ<2π.
−7cos2(θ)+4cos(θ)+6=0
Select all that apply:

1.07
3.96
0.31
2.32
1.68
2.43

Answers

Answer:correct answers are 3.96

2.32

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

-7u^2 + 4u + 6 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -7, b = 4, and c = 6. Substituting these values, we get:

u = (-4 ± sqrt(4^2 - 4(-7)(6))) / 2(-7)

u = (-4 ± sqrt(136)) / (-14)

u = (2 ± sqrt(34)) / 7

Therefore, either:

cos(θ) = (2 + sqrt(34)) / 7

or:

cos(θ) = (2 - sqrt(34)) / 7

Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse cosine function:

θ = arccos((2 + sqrt(34)) / 7)

θ = arccos((2 - sqrt(34)) / 7)

Using a calculator, we find:

A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines

Answers

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

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