Help&EXPLAIN

Don’t use for points or will be reported and I’ll take the points back

Answer: The last answer is correct.

Step-by-step explanation:

greatest common factor 12 and 28 is 4

The greatest common factor (GCF) of 12 and 28 is 4.

To find the GCF, you can determine the factors of both numbers and identify the greatest common factor they share.

As we know that a factor is a number that entirely divides another number.

To put it another way, any two integers that multiply to generate a result are factors of the result.

For 12, the factors are 1, 2, 3, 4, 6, and 12.

For 28, the factors are 1, 2, 4, 7, 14, and 28.

The common factors of 12 and 28 are 1, 2, and 4.

Among them, the greatest common factor is 4.

Therefore, the GCF of 12 and 28 is 4.

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The amount of tea that is left after the student has drank is; ⁴/₅d mL

In word problems on fractions, what we do is that we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

For example;

4/7 of a number is 84. Find the number.

Since 4/7 of a number = 84

The, the Number = 84 × 7/4

Number = 147

Now, in this question, we are given;

Quantity of tea in cup = d ml

Amount of tea a student takes out to drink = ¹/₅ of the quantity in the cup.

Thus;

Amount of tea left = d - ¹/₅d

Amount of tea left = ⁴/₅d

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Answer:

-59

Step-by-step explanation:

x+41=-18

x= -18-41

x = -59

Answer:

You want to solve the equation

x2=2x3 ,

which is equivalent to

x2(1−2x)=0 .

The product of two factors is zero if and only if one of the factors is zero. Thus, this implies that either  x2=0  or that  1−2x=0 .

In the former case we have  x=0 , which isn’t a positive number. In the latter case you have  x=1/2 , which is the solution that we want.

Step-by-step explanation:

The only interval with a negative rate of change is the last one:

[1, 2.5]

For an interval (a, b) and a function f(x), the rate of change is defined as:

\(r = \frac{f(b) - f(a)}{b - a}\)

So the rate of change is only negative when the function evaluated on the first value of the interval is larger than the function evaluated in the second one.

For example, on the interval [1, 2.5} we can see that:

f(1) = 3

f(2.5) = -1

Then on this interval, the rate of change will be negative, meaning that this is the correct option.

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Answer:

It's D: 1 to 2.5

Step-by-step explanation:

It's D: 1 to 2.5

Answer: 70 cats

Step-by-step explanation:

add 2+7 = 9
90/9 = 10
multiply 2x10 = 20 dogs
10x7= 70 cats.

Answer:

remember that you start in the [ ] and work your way out

Step-by-step explanation:

Answer:

595.

Step-by-step explanation:

Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.

1st Piece of Equipment = $595

2nd Piece of Equipment = $1,405

2nd Piece is $810 more expensive and the two pieces combined is $2,000.

Answer:

It's multiply both by thesame number

Step-by-step explanation:

For example:

If we want to change this fraction to a simplest form:

5/25

We simply multiply both sides by 5,which will give us:

5/5

And if you want simplify it further, the answer will be 1

Thanks.

Answer:

its x=-3

Step-by-step explanation:

The probability that one of the following numbers is rolled is 0.135.

We are provided a 37 sided dice. Hence, each of the number between 1 to 37 can be rolled. Now, to find the probability of rolling any of these five numbers, we will simply perform the multiplication.

The formula to be used for calculation of probability to roll any one number on the dice -

Probability = number of favourable outcomes ÷ total number of outcomes

Keep the values in formula

Probability = 1/37

Now, for the mentioned five numbers among which any can be rolled, the probability is -

Probability = 5 × (1/37)

Performing multiplication

Probability = 5/37

Performing division

Probability = 0.135

Hence, the probability is 0.135.

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The domain restrictions for (f/g)(x) are (c) x = 0, 6

From the question, we have the following parameters that can be used in our computation:

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

Answer:

d² - 24d + c = (d - 12)² - 144 + c

Answer:

Step-by-step explanation:

Add:

Subtract:

Answer:  \(\large \boldsymbol {\sf x^2+9 }\)

Step-by-step explanation:

\(1) \\\\ \large \boldsymbol {} \sf 4x^2-2x+6 \\ + \\ \underline{2x^2+4x-1} \\\\6x^2+2x+5\)          \(2) \\\\ \large \boldsymbol {} \sf 6x^2+2x+5 \\-\\ \underline{5x^2+2x-4} \\\\x^2+9\)

Answer:

\((9x^3y^2)^2\)

Step-by-step explanation:

The expression, as a square of a monomial, will be given by:

\((\sqrt{81x^6y^4})^2\)

Now, we calculate the root, applying it's properties. So

\(\sqrt{81x^6y^4} = \sqrt{81} \times \sqrt{x^6} \times \sqrt{y^4} = 9 \times x^{\frac{6}{2}} \times y^{\frac{4}{2}} = 9x^3y^2\)

The expression as a square of a monomial is given by

\((9x^3y^2)^2\)

According to the distribution shown above, the heights of female is taller according to the gender based distribution of heights.

What exactly is normal distribution?

The normal distribution, also called the Gaussian distribution, is a probability distribution that is symmetric about the mean, demonstrating that data close to the mean occur more frequently than data distant from the mean. The normal distribution looks like a "bell curve" when represented graphically.

Considering the information provided,

The United States' average male population is 69.

In the US, men's standard deviation is 2.25.

In the US, the average gender distribution is 64.

Women in the US experience a 2 standard deviation.

Now z-score for,

Female players = \(\frac{74-64}{2}\) = 5

Playing men =  \(\frac{74-69}{2.25}\) = 2.22

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To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

Answer:

It's on the negative side, so make sure you put -2.25. But yes, it's right.

The percentile of 6.2 in the given dataset is 30%. This means that 30% of the values in the dataset are lower than or equal to 6.2.

To determine the percentile of 6.2 in the given dataset, we need to calculate the percentage of values in the dataset that are lower than or equal to 6.2.

First, we arrange the dataset in ascending order: 4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2.

Next, we count the number of values that are lower than or equal to 6.2. In this case, there are three values: 4.2, 4.6, and 5.1.

The next step is to calculate the percentage. We divide the count (3) by the total number of values in the dataset (10) and multiply by 100.

(3/10) * 100 = 0.3 * 100 = 30%

Percentiles are used to understand the relative position of a particular value within a dataset. In this case, 6.2 is higher than 30% of the values in the dataset and lower than the remaining 70%.

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The equivalent proportional relationships in this problem are given as follows:

In a proportional relationship, the output variable y is obtained from the multiplication of the input variable x and the constant of proportionality k, by the rule presented as follows:

y = kx.

Proportional relationships are said to be the same when they have the same constant of proportionality k.

For each relationship in this problem, the constants are given as follows:

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The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

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Answer:

4 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

3^2 + (sqrt(39)^2 = c^2

9 + 39 = c^2

48 = c^2

Take the square root of each side

sqrt(48) = sqrt(c^2)

sqrt(16*3) = c

sqrt(16) sqrt(3) = c

4 sqrt(3) = c

SOLUTION

Since the P-value is 0.026, and this value is less than 0.05 significant level, we have to accept the null hypothesis.

We only reject the null hypothesis when it is greater than 0.05

Therefore, the correct option is Accept the null hypothesis

The total area of clothes used is 12627m².

It is important to note that a football is in the shape of a sphere. Therefore, the area of a ball will be:

= 4πr²

In this case, the radius which is represented by r is given as 9.15m.

The area will be:

= 4πr²

= 4 × 3.142 × 9.15²

= 1052.22

Therefore, since there are 12 pitches, the area will be:

= 1052.22m² × 12

= 12627m²

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Answer:

(\(6 - \sqrt{31}\), \(6 + \sqrt{31}\))

Step-by-step explanation:

\(x^{2}-12x+5 < 0\)

To solve this inequality, we can start by completing the square.  To do this, we divide the x coefficient (-12) by 2 and then square it.  We then add the result to the left side of the equation.  To ensure the inequality remains true, we also subtract it.

\(x^{2}-12x+(-6^{2})-(-6^{2}) + 5 < 0\\x^{2}-12x+36-36 + 5 < 0\\\)

We can then express the first trinomial as a perfect square.

\((x-6)^{2} - 31 < 0\)

Add 31 to both sides:

\((x-6)^{2}< 31\)

Then take the square root of both sides:

\(x-6<\) ± \(\sqrt{31}\)

Finally, add 6 to both sides:

x < 6 + \(\sqrt{31}\)

x > 6 - \(\sqrt{31}\)

The solution to the inequality in interval notation is shown by option A

An inequality in mathematics describes how two expressions relate to one another by indicating whether one expression is greater, smaller, equal to, or not equal to the other.  Inequalities are denoted by symbols.

We have to use the quadratic formula that states that;

x < (-b ± √(\(b^2\) - 4ac)) / 2a

So we have that;

x < [12 ± √(\((-12)^2\) - 4 * 1 * 5)] / 2 * 1

Thus we would obtain in the end;

6 - √31 < x < 6 + √31

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