Use the triangle below to find the measure of angle G.

The value of the quotient expression given as negative 7.3 divided by one half is -14.6

The quotient expression is given as:

negative 7.3 divided by one half

Rewrite the above expression properly, as follows:

-7.3/0.5

Evaluate the quotient

-14.6

Hence, the value of the quotient expression given as negative 7.3 divided by one half is -14.6

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Answer:

-14.6

Step-by-step explanation:

Treat the one half as a fraction.

Then remember that when you divide by a fraction, you need to multiply by the reciprocal of the fraction, so dividing by half is the same as multiplying by 2. Also, negative times positive is negative.

-7.3 / (1/2) = -7.3 × 2/1 = -7.3 × 2 = -14.6

Answer:

Step-by-step explanation:

No

Answer:

2 is the answer

therefore, 5x2=10

2 times as many as 5

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

→ Find the scale factor

30 ÷ 25 = 1.2

→ Multiply answer by 20

20 × 1.2 = 24

→ Equate equation to 24

4x - 4 = 24

→ Add 4 to both sides

4x = 28

→ Divide both sides by 4

x = 7

Answer: 40 pupils

Step-by-step explanation:

 35           14

-------   =   --------

100             ?

find the denominator.

multiply 14 and 100:

14 x 100 = 1400

divide 1400 by 35

1400/35 = 40

Therefore there are 40 students

Answer:

30

Step-by-step explanation:

Audrey reads 15 pages a day, and she read 75 pages total. If we divide 75/15, this should show us the amount of days she read. 75/15 is 5, so Audrey(and Lauren) read 5 days

Lauren reads 6 pages a day, and since she read for 5 days, 6x5 is the amount of pages she read in total. 6x5=30, so the answer is 30

There are 3150 distinct ways to arrange the marbles in a row.

What is Combination ?

In mathematics, combination is a way of selecting a group of objects from a larger set, without regard to the order in which the objects are selected. Combinations are also sometimes called "unordered selections" or "combinatorial subsets".

To solve this problem, we can use the formula for permutations with repetition. We have a total of 10 marbles, but some of them are repeated. Specifically, we have:

3 yellow marbles (repeated)

3 green marbles (repeated)

2 red marbles (repeated)

2 blue marbles (repeated)

So the number of distinct ways to arrange these marbles in a row is:

(10!) ÷ (3! x 3! x 2! x 2!)

The factorials in the denominator account for the repetition of each color. We divide by them to eliminate the overcounting that would occur if all the marbles were unique.

Simplifying this expression, we get:

(10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)÷(3 x 2 x 1 x 3 x 2 x 1 x 2 x 1 x 1 x 1)

which equals:

(10 x 9 x 8 x 7 x 6 x 5 x 4) ÷ (3 x 3 x 2 x 2)

Simplifying further, we get:

(10 x 3 x 3 x 3 x 2 x 2 x 7 x 5) ÷ (3 x 3 x 2 x 2)

which equals:

(10 x 3 x 3 x 7 x 5)

which finally equals:

3150

Therefore, there are 3150 distinct ways to arrange the marbles in a row.

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For the first scenario (choosing 3 balls from 1 to 9):

\(_{9}C_{3} = \frac{9!}{3!(9 - 3)!} \)

For the second scenario (choosing 5 potato chips from 20):

\(_{20}C_{5} = \frac{20!}{5!(20 - 5)!} \)

For the third scenario (choosing 2 team members as captain and co-captain from 24):

\(_{24}P_{2} = \frac{24!}{(24 - 2)!} \)

The first situation is a combination. In a combination, the order of the items does not matter. In this game, it does not matter what order the 3 balls are in, as long as you have the correct numbers in a row. If you choose balls 1, 2, and 3, it's the same as if you choose 3, 2, and 1. A permutation, on the other hand, would require the order of the items to be specific. In this game, the order of the numbers doesn't matter, making it a combination.

The second situation is a combination. In this scenario, you are choosing 5 out of 20 different potato chips, and the order in which you choose them doesn't matter. Whether you choose chips 1, 2, 3, 4, and 5, or chips 5, 4, 3, 2, and 1, the combination is still the same.

The third situation is a permutation. In a permutation, the order of the items matters, meaning the first chosen person will be the captain and the second chosen person will be the co-captain. In this scenario, there are 24 people to choose from, and the order in which they are chosen determines their role as captain or co-captain. A combination, on the other hand, only cares about the items themselves, not the order in which they are chosen. In this scenario, the order matters, making it a permutation.

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The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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Answer:

ln 4

Step-by-step explanation:

plus(+) will become times and minus(-)will become divide. Combine all together as all are in terms of ln

ln (2x8)/4

=ln 4

Answer: In 4

Step-by-step explanation: edge 2021

Answer:

B) in the modern art section of an art museum

Step-by-step explanation:

Hope it helps! =D

The solution is, Option B.) one culture will have always 50 more bacteria than the other.

We have,

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

Given:

We have,

The population, P, of bacteria in a culture can be calculated at any time, t, using the equation P= a(2).

In the equation, the initial number of bacteria is a.

The initial number of bacteria in two different cultures were 100 and 125.

so, in one cultures population, P, of bacteria is = 100(2)

                                                                             = 200

in the other cultures population, P, of bacteria is = 125(2)

                                                                             = 250

so, we get,

the two populations compare over time = 250 - 200

                                                                   = 50

Hence, The solution is, Option B.) one culture will have always 50 more bacteria than the other.

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The value of the inverse of the equation is this: x³ -3 = y

To find the inverse of the equation follow these steps:

1. Replace H(x) with y.

y = (x + 4)³ - 1

2. Interchange the values of X and Y.

X = (y + 4)³ - 1

3. Find the cube root of both sides

x³ = y + 4  - 1

4. Find the value of y

x³ - 4 + 1 = y

x³ -3 = y

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3514 1404 393

Answer:

  A. non-negative integers ≤ 200

Step-by-step explanation:

The number of passengers is a whole number (non-negative integer) that does not exceed 200. These are the values for which the function is defined.

The domain is non-negative integers less than or equal to 200.

__

You cannot have negative or fractional passengers, but you can have zero passengers.  For 114 or more passengers, the airline will make a profit. There is no requirement for the profit to be positive.

Answer:

9cm

Step-by-step explanation:

Circumference formula = 2piR

To calculate radius

The equation becomes

2piR = 18pi

R = 18pi/2pi

= 9cm

Answer:n the metric system, "milli" means 1/1,000 and "kilo" means 1,000. This means that a milligram is 1/1,000 of a gram, and a kilogram is 1,000 grams. So a kilogram is much heavier than a milligram; in fact, a kilogra

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

Because if you multiply

4 x-2=-8

-8 x -2=16

16 x -2 =-32

-32 x -2=64

damp everyone is giving exams lol

Answer:

Step-by-step explanation:

take 22 degree as reference angle

using cos rule

cos 22=adjacent/hypotenuse

0.92=56/x

x=56/0.92

x=60.86

x=60.9

Therefore , the solution of the given problem of variable comes out to be Two groups are contrasted while 1 variable is recorded.

A trait that can be measured and have different values is called a variable. A few instances of variables include height, age, salary, birthplace equation ,province, academic standing, and type of residence.

Here,

A. Two groups are contrasted while 1 variable is recorded.

In an experiment conducted, the researcher controls for unrelated factors while varying a different variables and observing the impact on a dependent variable.

In most studies, there are at least 2 categories: a control groups that is given the experimental modification, and a comparison group that is not. The impact of the change is then assessed by comparing the two groups.

As a result, choice A an is the right response.

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Answer:

a) Population of adults who watch local news

b) Population of adults who use cell phones or tablets.

c) They conducted a sample survey

d) I will find the results interesting.

I as a restaurant owner will also enable a Search Engine Optimization for my website to place my restaurant on the top when local restaurants are searched.

Step-by-step explanation:

a) This finding is applicable to the population of adults who watch local news.

This is because the sample will be collected from the population of adults who watch local news to see the percentage that actually get those local news from their cell phones or tablet computers.

b) This finding is applicable to the population of adults who use cell phones or tablets.

The sample will be collected from the population of adults who use cell phones or tablets. A survey can now be carried out to find out what they use their phones or tablets for, whether to search for restaurants or get weather reports.

c) The Pew Researchers conducted a sample survey because a census data cannot contain the information about weather reports, local restaurants or news channel. Precise information can only be gotten from a sample survey.

d) Yes, I will. Having an idea of how large the population of those that search for local restaurants on phones and tablets will enable me to channel my publicity towards this media. I as a restaurant owner will also enable a Search Engine Optimization for my website to place my restaurant on the top when local restaurants are searched.

Answer:

n=6561/1451

Step-by-step explanation:

The value of the fraction -6 3/5 -(-7 4/15) + 2 1/5 will be 2 13/15.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

The value of the fraction -6 3/5 -(-7 4/15) + 2 1/5 will be:

= -6 3/5 -(-7 4/15) + 2 1/5

= 7 4/15 + 2 1/5 - 6 4/5

= 7 4/15 + 2 3/15 - 6 9/15

= 9 7/15 - 6 9/15

= 2 13/15

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Hello!

miles driven = x

the initial cost = 29

f(x) = 29 + 0.35x

Answer:

the answer is second choice.

Answer:

2/3

Explanation:

total people: 4 + 2 = 6 people

carpenters: 4 carpenters

probability = 4/6 ≈ 2/3

Answer:

P (carpenter) = 2/3 or 0.67

Step-by-step explanation:

Probabilty of seeing a Carpenter first

⇒ P (carpenter) = 4/6

⇒ P (carpenter) = 2/3 = 0.67

the answer is D

Step-by-step explanation:

the product of h and eight should be 8h, and the square of h and eight should be 8h x2, so when you put it all together it should be (8h) x 2 or (8h)2 which is D

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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1. Yes, this is a binomial distribution.

2. n = 200, p = 0.25.

3. The mean of X is 50. This means that we can expect to get 50 cherry flavored Starburst candies on average.

4. The standard deviation of X is 7.07. This means that the number of cherry flavored candies is likely to be close to the mean of 50, but it could vary by up to 7.07 in either direction.

5. The probability of getting exactly 60 cherry flavored Starburst is 0.108.

6. The probability of getting at most 60 cherry flavored Starburst is 0.619.

A bag of Starburst candies can be considered an SRS of the whole population of Starburst candies since there are 4 flavors. The probability that each Starburst is cherry flavor is 0.25. Since we are buying one bag of Starburst, the number of cherry flavored candies in the bag can be represented by a binomial distribution with n = 200 and p = 0.25. This means that the mean of X (the number of cherry flavored candies) is 50. The standard deviation of X is 7.07, which means that the number of cherry flavored candies is likely to be close to the mean of 50, but could vary by up to 7.07 in either direction. The probability of getting exactly 60 cherry flavored Starburst is 0.108, and the probability of getting at most 60 cherry flavored Starburst is 0.619.

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According to the information given on the graph, this is:

• A scalene triangle because the three sides have different lenghts.

• An acute triangle because the three angles are less than 90 degrees.