20% of 60 is_____

25% of ____is 6

______% of 100 is 14

50% of 90 is______

10% of ______is 7

30% of 70 is_______

No , we cannot have a triangle with 2cm , 3cm and 5cm , because the sum of two sides is not greater than the other sides .

What is a Triangle ?

A triangle can be defined as the closed figure , that is made up of three line segments .

The Condition for any three sides to form a triangle : the sum of any two sides of triangle should be greater than the third side .

The sides of triangle are given to be : 2cm , 3cm and 5cm ;

on adding the two sides ,

we get ;

⇒ 2 + 3 = 5 > 5 ; False

⇒ 3 + 5 = 8 > 2 ; True

⇒ 2 + 5 = 7 > 3 ; True

All the conditions are not met ,

Therefore , the given sides cannot form a triangle .

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The next number in the pattern will be 44. Then the correct option is D.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The pattern is given below.

4, 6, 11, 19, 30,

The pattern is given as,

4 + 2 + 3 x 0 = 6

6 + 2 + 3 x 1 = 11

11 + 2 + 3 x 2 = 19

19 + 2 + 3 x 3 = 30

30 + 2 + 3 x 4 = 44

The next number in the pattern will be 44. Then the correct option is D.

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Answer:

8

Step-by-step explanation:

By intersecting tangent secant theorem:

\( {x}^{2} = 4(4 + 12) \\ \\ {x}^{2} = 4 \times 16 \\ \\ {x}^{2} = 64 \\ \\ x = \sqrt{64} \\ \\ x = 8\)

Answer:

6.9

Step-by-step explanation:

If a secant segment and tangent segment are drawn to a circle from the same external point, the product of the length of the secant segment and its external part equals the square of the length of the tangent segment

x² = 4 * 12

x² = 48

Take the square root of both sides

x = 6.9282032303

Rounded

x = 6.9

Answer: 1/5

Step-by-step explanation: 2/5 - 1/5 = 1/5. So 1/5 more visitors saw the panda this month.

Answer: it is 13+13=26

Step-by-step explanation:

I don’t care.

Answer:

Explanations:

The formula for calculating the simple interest is expressed as:

where:

• P is the, principal, = $6,000

• R is the ,rate, = 0.044

• Time T = 10/12 years

Substitute the given parameters into the formula

Hence the amount of interest paid on this loan is $220

Maturity value = Principal + Interest

Maturity value = $6000 + $220

Maturity value = $6,220

Hence the maturity value of this loan is 6,220

Alan drive if he uses 4 gallons of gas is 75 miles distance

The following function calculates the distance (in miles) he travels on gallons of gas. D(g)=25g

Where D(g) is the distance traveled in gallons.

and g denoted the quantity of gasoline used

We are asked to calculate the distance traveled in three gallons of gasoline. To do this, we will set the value of g to 3 in our function.

D(3)=25 x 3 = 75

As a result, Chris's automobile traveled 75 miles on three gallons of petrol.

The length of the line segment connecting two places, for example, is the distance between them. a two-dimensional plane, which may also be  in a three-dimensional plane. In coordinate geometry, there are several forms of distance formulae.

Distance between two locations in a two-dimensional plane

Distance between two locations in a three-dimensional plane

Distance in 2D from a point to a line

2D distance between two parallel lines

3D distance from a point to a line

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Answer:

1130 grams

Step-by-step explanation:

1.6kg to grams is 160 0grams so 1600 - 470 = 1130 so she has 1130 grams left.

Answer:

Lena has 1130 grams left.

1.6 kg = 1600 grams

Amount of sugar she used = 470 grams

Amount of sugar she has left = 1600 - 470

= 1130 grams

So, Lena has 1130 grams of sugar left.

:)

Answer:

No, they are not similar

Step-by-step explanation:

25/107 = 16/88

Cross multiply

25 * 88 = 107 * 16

2200 = 1712

No, they are not similar

Answer:

5 out of 15

Step-by-step explanation:

Step-by-step explanation:

one side.

as each tile is guaranteed an equilateral triangle, all sides are equally long. measuring 1 side clarifies therefore the overall size of the tile.

the angles are the same in any case, as every equilateral triangle (no matter its size) has only angles of 60°.

so, if any side has the same length as the side lengths of the other triangles, then the checked triangle is congruent with the others.

Answer:

Property of Symmetry

Step-by-step explanation:

The symmetric property of equality tells us that both sides of an equal sign are equal no matter which side of the equal sign they are on. Remember it states that if x = y, then y = x.

The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling

The judgement sampling is a non probability that the researcher selects units to be sampled based on his own  knowledge and professional judgement. Here the probability is not a factor.

The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.

Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement

Therefore, the sampling method is judgement sampling

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Answer:

x = -11

Step-by-step explanation:

Well the two equations add up to 180 because they are a linear pair.

x + 56 + x + 146 = 180 (collect like terms)

2x + 202 = 180 (subtract 202 on both sides)

2x = -22 (divide by 2 on both sides)

x = -11

Hope this helps ya!!

The linear equation representing Mia's situation is y = 3x + 12.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The two points given are - (4,24) and (6,30)

The slope-intercept form of a linear equation is - y = mx + b, where m is the slope and b is the y-intercept.

To find the slope use the formula -

m = (y2 - y1)/(x2 - x1)

m = (30 - 24)/(6 - 4)

m = 6/2

m = 3

So, now the equation becomes - y = 3x + b

To find the y-intercept substitute the equation with x and y values -

24 = 3(4) + b

24 = 12 + b

b = 24 - 12

b = 12

So, now the equation becomes - y = 3x + 12.

Therefore, the linear equation y = 3x + 12.

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A bathtub has some water in it. Mia turns on the faucet and add more water. The total amount of water in gallons, y, is a function of the time in minutes since Mia turned on the faucet, x. The graph of a linear function passes through the points (4,24) and (6,30) What is the equation of the function?

The antidote helped Jared's cells make ATP is changes cyanide into thiocyanate which his body can remove in his urine.

Here we have to know that then ion cyanide inhibits cellular respiration by binding to the ferric ion of cytochrome oxidase and blocking the electron transference.

So, here the electron transporter chain is interrupted, there is no ATP production, and muscles do not get enough energy.

Then the antidote enters Jared's cells and targets cyanide.

Once if it meets cyanide, then it will binds to this last one and blocks its effect on cytochrome oxidase.

Finally, then cyanide can no longer bind the ferric ion of cytochrome oxidase, on the other hand the enzyme remains active, and the electron transport is reactivated.

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Answer:

y=34.5 degrees

x=17 degrees

Step-by-step explanation:

2y=69  because it is a corresponding congruent angle

y=34.5 degrees

2y=3x+18

69=3x+18

3x=51

x=17

Conducting multiple t-tests can be time-consuming and requires a larger sample size to ensure sufficient power to detect differences between the groups. This may increase the cost and resources required for the study.

What is analysis in mathematics?

The analysis is a branch of mathematics that deals with the study of functions, sequences, and limits. It is concerned with understanding how functions behave, how they change and grow, and how they can be approximated and analyzed.

There are several difficulties in conducting a multiple two-sample t-test analysis to compare four diets pairwise in the described study.

One difficulty is that the multiple t-tests increase the risk of Type I errors, which are false positive findings. When multiple tests are conducted, the overall probability of making at least one Type I error increases. This can lead to the conclusion that a difference exists between two groups when in fact there is no real difference. To control for this risk, the researchers would need to use a stricter significance level or adjust the p-values using a method such as the Bonferroni correction.

Another difficulty is that the multiple t-tests do not take into account the relationships between the different groups being compared. For example, if the low-carb diet group has significantly different outcomes from the control group, this may also affect the results of the comparison between the low-carb diet and the other diet groups. A more comprehensive analysis method, such as a one-way ANOVA or a multivariate analysis, would be needed to account for these relationships.

Hence, conducting multiple t-tests can be time-consuming and requires a larger sample size to ensure sufficient power to detect differences between the groups. This may increase the cost and resources required for the study.

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Answer:

5

Step-by-step explanation:

The length of a side of the hexagon or square is - 16 units

The length of a side of the hexagon or square = x

The perimeter of the square = 4 × lengths of its side

                                               = 4x

The perimeter of the hexagon = 6 × lengths of its side

                                                   = 6x

According to the question,

                            4x + 32 = 6x

                       ⇒ 6x - 4x = 32

                       ⇒  2x = 32

                       ⇒  x = 16

So, the length of a side of the hexagon or square is - 16 units.

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The required answer is :

a. The third side of the reflective sticker cannot be 12 cm long.

b. It is not possible to form a triangle with side lengths of 6 cm, 8 cm, and 2 cm.

According to the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side.

In this case, the sum of the two given sides (6 cm + 8 cm = 14 cm) is less than the length of the third side (12 cm).

Therefore, it is not possible to form a triangle with side lengths 6 cm, 8 cm, and 12 cm.

(b) The third side of the reflective sticker cannot be 2 cm long.

Applying the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side.

The sum of the two given sides (6 cm + 8 cm = 14 cm) is greater than the length of the third side (2 cm).

Hence, it is not possible to form a triangle with side lengths 6 cm, 8 cm, and 2 cm.

Therefore, a. The third side of the reflective sticker cannot be 12 cm long.

b. It is not possible to form a triangle with side lengths of 6 cm, 8 cm, and 2 cm.

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Answer:

$2194

Step-by-step explanation:

If this does not help you im sorry! :(

hope this helps u

Answer:

1836

Formula: P(1+r)^t

Steps- 1800$( 1 + .02)^10

instead of doing 2% we move the decimal two places to the left and get .02

From here you can just add it and get 1836$

I noticed you didn't put the annual interest rate, so I assumed it would be annually.

If we know the initial amount in the ATM, we can calculate the overall change by subtracting the total amount withdrawn from the initial amount.

27 people withdrew $100 each from the ATM. To calculate the overall change in the amount of money in the machine, we need to find the total amount of money withdrawn and subtract it from the initial amount in the machine.

Since each person withdrew $100, the total amount of money withdrawn is calculated by multiplying $100 by the number of people who withdrew money. So, 27 people x $100 = $2700.

To find the overall change in the amount of money in the machine, we subtract the total amount of money withdrawn from the initial amount in the machine. However, the initial amount is not given in the question, so we cannot determine the exact overall change without that information.

In summary,  However, without the initial amount, we cannot determine the overall change.

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Answer:

480,496 liters

Step-by-step explanation:

To calculate the amount of water needed to produce the beef consumed by one person in a more developed country per year, we need to first determine the amount of beef consumed per year and then multiply it by the water required to produce a given amount of beef.

The average person in a more developed country consumes 85 grams of beef per day. To find the annual consumption, we multiply this value by the number of days in a year:

Annual beef consumption = Daily beef consumption * Number of days in a year

Annual beef consumption = 85 grams/day * 365 days/year

Annual beef consumption = 31,025 grams/year

Now, we need to convert the beef consumption from grams to liters of water. It takes 1,750 liters of water to produce 113 grams of beef:

Water required per gram of beef = 1,750 liters / 113 grams

To calculate the total water needed per year, we multiply the water required per gram of beef by the annual beef consumption:

Water needed per year = Water required per gram of beef * Annual beef consumption

Water needed per year = (1,750 liters / 113 grams) * 31,025 grams/year

Calculating this value:

Water needed per year ≈ 480,496 liters/year

Using the given function, it is found that:

The profit when n students are enrolled in the class is given by:

f(n) = 70n - 400.

A profit is made when f(n) > 0, hence:

70n - 400 > 0

70n > 400

n > 5.71.

6 students need to be enrolled for the instructor to make a profit.

A profit of $1,000 is made when f(n) = 1000, hence:

70n - 400 = 1000

70n = 1400.

n = 20.

20 students must be enrolled for the instructor to make a profit of $1,000 a month.

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Atleast 6 students must be enrolled to make a profit and 20 student are needed to make $1,000.00 profit per month.

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the function:

f(n) = 70n - 400

To make a profit, f(n) > 0, hence:

70n - 400 > 0

n > 6

For a profit of $1000:

70n - 400 = 1000

n= 20

Atleast 6 students must be enrolled to make a profit and 20 student are needed to make $1,000.00 profit per month.

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Answer:

14, 4

Step-by-step explanation:

First things first, we can name out pairs with the ratio of 7:2.

7, 2

14, 4

21, 6

We can then test these pairs out with the first condition and find the answer.

The least common multiple has to be 28:

LCM(7, 2) = 14

LCM(14, 4) = 28

Ah, ha! We can see that the least common multiple of 14 and 4 is 28.

Answer:

This function is not linear.  

Step-by-step explanation:

because its formula is 4L

There will be 221 highway signs on the road trip.

What is Total Length?

Whole Length (TL) is the measurement taken in a straight line, with the fish lying on its side, from the tip of the snout to the end of the tail (caudal fin).

The total length of the road trip is 13.2 hours.

Highway signs are posted every 0.06 hours. To find out how many highway signs are on the road trip, we can divide the total length of the road trip by the interval between each sign and then add one more sign for the end of the road trip:

(number of signs) = (total length of road trip) / (interval between signs) + 1

Substituting the values, we get:

(number of signs) = 13.2 / 0.06 + 1

(number of signs) = 220 + 1

(number of signs) = 221

Therefore, there will be 221 highway signs on the road trip.

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Step-by-step explanation:

\({:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}\)

\({:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}\)

\({:}\hookrightarrow\sf \dfrac {10}{36}\)

\({:}\hookrightarrow\sf \dfrac {5}{18}\)