In the figure, the measure of Angle 6 is 141°.
What is the measure of Angle 5?

Answer:

See below.

Step-by-step explanation:

Ratio 1: 1 : 11.

Ratio 2: 2 : 20 (Simplified as 2 : 2).

Ratio 3: 3 : 29.

Ratio 4: 4 38.

Answer:

\(P(X\geq 1)= 1 - 0.0497 8 =0.95022\)            

Step-by-step explanation:

Step(i):-

Let 'X' be the random variable in Poisson distribution

Mean of the Poisson distribution λ or ∝ = 3 per  (cm³)

Given n = 5 samples

\(P(X=r) = \frac{e^{-\alpha }\alpha ^{r} }{r!}\)

Step(ii):-

The probability that at least one sample will contain one or more bacterial colonies

P(X≥1)    = 1-P(X< 1)

             = 1 - P( X=0)

\(P(X\geq 1)= 1 - \frac{e^{-\alpha }\alpha ^{r} }{r!}\)

\(P(X\geq 1)= 1 - \frac{e^{-3 }3 ^{0} }{0!}\)

\(P(X\geq 1)= 1 - 0.0497 8 =0.95022\)            

Answer:

Let's see it by an example!

The numbers are given:

5 , 77 , 23 ,45 & 0

Let's arrange this from least to greatest :

0<5<23<45<77

Note : This sign(<) means greater than.

Hope you understand!✔

You can also practice this by greatest to least!

You can use this sign(>) [ it means less than ]

SMALL Example is given :

55>2

Step-by-step explanation:

there are four dogs because each dog at a corner will see the other three dogs at the other corners

Exactly two of the students are guilty. This can be deduced by looking at the facts given and understanding that if A is not guilty, then both B and C are guilty, while either B is not guilty or C is not guilty. This implies that exactly two of the students are guilty.

Given the three facts, we can determine that either A or B is guilty, but not both, and C is guilty. This means that exactly two of the students are guilty.

Since the statement either A is not guilty, or B is guilty, and the statement either B is not guilty, or C is not guilty, both cannot be true. This means that exactly two of the students are guilty.

Given the three facts, we can determine that either A or B is guilty, but not both, and C is guilty. This means that exactly two of the students are guilty. Since the statement either A is not guilty, or B is guilty, and the statement either B is not guilty, or C is not guilty, both cannot be true. This means that only one of the three is not guilty and it is not A or B. Therefore, exactly two of the students are guilty. This can be deduced by looking at the facts given and understanding that if A is not guilty, then both B and C are guilty, while either B is not guilty or C is not guilty. This implies that exactly two of the students are guilty.

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Keegan's error is assuming that the product of the slopes of any two sides of a triangle should be -1 for the triangle to be a right triangle.

To determine if the triangle LMN is a right triangle, Keegan should instead calculate the lengths of the three sides of the triangle and check if they satisfy the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

To correct his approach, Keegan should calculate the lengths of sides LM, MN, and NL using the coordinates of the vertices and then check if the Pythagorean theorem holds true.

If the squared length of one side is equal to the sum of the squares of the other two sides, then the triangle LMN is a right triangle.

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Answer:

\(y=\dfrac{3x}{2\sqrt 2}+\sqrt 2\)

Step-by-step explanation:

\(\text{Given that,}\\\\y = f(x)= \sqrt{2x^2 +3x +2 }\\\\\text{Plug x = 0 in the equation,}\\\\y = \sqrt{2 \cdot 0^2 +3 \cdot 0 +2} =\sqrt{2}\\ \\\text{So, the coordinate is~} \left(0,\sqrt 2 \right).\\\\\text{Now,}\\\\\text{Slope} = f'(x)\\\\~~~~~~~~=\dfrac{1}{2\sqrt{2x^2 +3x +2 }} \cdot \left(4x+3+0\right)\\\\\\~~~~~~~=\dfrac{4x+3}{2\sqrt{2x^2 +3x +2}}\\\\\\\)

       \(~~~~~=\dfrac{4\cdot 0 +3 }{2 \sqrt{ 2 \cdot 0^2 +3 \cdot 0 + 2}}~~~~~~~~~~~~~~;[\text{at x = 0}]\\\\\\~~~~~~=\dfrac{3}{2\sqrt 2}~~~~~~~~~~~~~~\)

\(\text{Equation of tangent line,}\\\\~~~~~~~y-y_1 = f'(x) (x-x_1)\\\\\\\implies y - \sqrt 2 = \dfrac 3{2 \sqrt 2} \left(x - 0\right)\\\\\\\implies y = \dfrac{3x}{2\sqrt 2}+\sqrt 2\\\)

The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.

To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.

In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.

Using this formula, we can calculate the period of the function f(t) as follows

T = 2π / 0.25

T = 8π

Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.

Hence, the correct answer is d) period 8π.

The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values

The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.

Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.

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Answer:

15

Step-by-step Explanation:

LCM is the least common multiple, that is, is the least number that is a multiple of both numbers.

To find it, first, let's write the multiples of 3:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

Now, let's write the multiples of 15:

Multiples of 15: 15, 30, 45, ...

If you compare the multiples of 3 and 5, we can see that they have some common multiples, as 15 and 30.

From this common multiples, 15 is the smallest number. So, 15 is the LCM of 3 and 15.

Answer: 15.

Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

Step-by-step explanation:

The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with

Two dots at 0

One dot at 2

Two dots at 3

Four dots each at 4, 5, and 6

One dot at 7

A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.

The data can be presented as follows;

2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6

The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.

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Answer:

To use the distributive property to solve 99 x 3, we can write it as:

99 x 3 = (90 + 9) x 3 (decomposing 99 as 90 + 9)

= 90 x 3 + 9 x 3 (using distributive property)

= 270 + 27

= 297

Therefore, 99 times 3 using the distributive property equals 297.

Step-by-step explanation:

Answer:

1 child... mark me as brainliest please

Answer:

can you round it up? what is the question and what are we solving for?

Answer:

55

Step-by-step explanation:

1+2+3+4+5+6+7+8+9+10

= 1+9 + 2+8 + 3+7 + 4+6 + 10 + 5

= 10x5 + 5

= 55

Answer:

55

Step-by-step explanation:

caculator

Answer:

6

Step-by-step explanation:

Answer: 6
The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 6.

Answer: B  :)

Step-by-step explanation:

you need to find the number of containers for all the juice so add all of them together and then divide by 1.4 or the volume of the containers to get to amount you need

Answer:

Question 1: 59

Step-by-step explanation:

Question 1: 11.80*5=59

Answer:

Gina has 5 large shipping boxes and 6 small shipping boxes.

Step-by-step explanation:

32 items to ship and 11 shipping boxes.

Large=4 items

4 X 5 = 20

Small=2 items

2 X 6 = 12

20 + 12 = 32

The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.

To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:

30% of $86 = 0.3 x $86 = $25.80

Therefore, Pedro will need to pay $25.80 for shipping and handling.

Answer:

D, because the word problem separates the minus nine with a comma.

a is incorrect because there is no cube root

b is incorrect because again, no cube root

c is incorrect because the minus nine should not be within the cube root

Four times the cube root of x, minus nine is \(4\sqrt[3]{x-9}\).So, our correct answer is 3. \(4\sqrt[3]{x-9}\) .Here are a few ways to write "Four times the cube root of x, minus nine":

4 * √(x) - 9

4√(x) - 9

\(4\sqrt[3]{x-9}\)

The first way to write it is the most literal way. It uses the multiplication symbol (*) to indicate that we are multiplying 4 and √(x). The second way to write it is a bit more concise. It uses the exponent notation to indicate that we are taking the cube root of x. The third way to write it is the most mathematical way. It uses the LaTeX symbol for the square root, which is \sqrt{}.Which way you choose to write it depends on the context. If you are writing in a more informal setting, you might use the first way. If you are writing in a more formal setting, you might use the third way

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The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

Answer:

64.53

Step-by-step explanation:

56.213 rounds to 56.21

7.983 rounds to 7.98

0.344 rounds to 0.34

Next you do 56.21 + 7.98 + 0.34 = 64.53

All the numbers after rounding each value to the nearest hundredth are 56.21, 7.98, and 0.34.

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest hundredth, so I had to look at the value in the thousandth place.

Here the numbers are,

56.213

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

56.21

7.983

Since the value in the thousandth place is 3 which is less than 5.

Hence round the number down.

7.98

0.344

Since the value in the thousandth place is 4 which is less than 5.

Hence round the number down.

0.34

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Answer:

75

Step-by-step explanation:

the line in the middle of the box tells you the median

A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

How to determine the amount of carpet needed for a rectangular room?

To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.

The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),

18 feet ÷ 3 feet/yard = 6 yards

So the dimensions of the room in yards are 10 yards by 6 yards.

To find the total area of the room, we need to multiply the length and width,

10 yards × 6 yards = 60 square yards

Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

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The proof of the quadratic equation is represented by the equation 18(m₂)² = 18(m₂)²

Quadratic equations are second-order polynomial equations and they have the form y = ax² + bx + c or y = a(x - h)² + k

The quadratic equation is given as

ax² + bx + c = 0

From the question, we understand that

One of the roots is twice the other

This means that

m₁ = 2m₂

Where m₁ and m₂ are the roots of the quadratic equation

The quadratic equation is then represented as

(x - m₁) * (x - m₂) = 0

Substitute m₁ = 2m₂ in the equation (x - x₁) * (x - x₂) = 0

So, we have

(x - 2m₂) * (x - m₂) = 0

Expand the brackets

So, we have

x² - 2xm₂ - xm₂ + 2(m₂)² = 0

Evaluate the sum and the difference.

So, we have

x² - 3xm₂ + 2(m2)² = 0

In the above equation, we have

a = 1

b = -3m2

c = 2(m₂)²

Recall that

2b² = 9ac

So, we have

2 * (-3m₂)² = 9 * 1 * 2(m₂)²

Evaluate

18(m₂)² = 18(m₂)²

The above equation is true

Hence, it is true that if one root of the equation ax² + bx + c = 0 is twice the other, then 2b² = 9ac

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The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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