Write the value of the side length of a square with each of the areas below. If the exact value is not a whole number, complete the statement to estimate the length.

1. 100 square units.-----The side length is exactly ___ units
2. 95 square units.----- The side length is a little less than ___ units
3. 36 square units.-----The side length is exactly ___ units
4. 30 square units.-----The side length is between __ and ___ units

2(5x - 4)

Perimeter formula

P = 2l + 2w

P = 2(3x - 5) + 2(2x + 1)

= 6x - 10 + 4x + 2

= 10x - 8

= 2(5x - 4)

Answer:

This is a triangle with 2 equal angles and equal to 60

=> this is an equilateral triangle

=> y = 60

    4x.3 = 54

=> y = 60

    x = 54/12 = 4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

if two angles are 60 degrees, the third one is also 60 degrees

that means all the sides are equal

if one side is 4x

4x+4x+4x=54

12x=54

x=4.5

Anna believes there is insufficient evidence to conclude that the capacity of her car's gas tank is not 10 gallons when, in fact, it is not 10 gallons. This is an example of a Type II error.

A Type II error occurs when Anna believes there is insufficient evidence to conclude that the capacity of her car's gas tank is not 10 gallons when, in fact, it is not 10 gallons.

A Type II error occurs when the null hypothesis is not rejected even though it is false (i.e., the alternative hypothesis is true). In this case, the null hypothesis is that Anna believes the capacity of her car's gas tank is 10 gallons. Therefore, a Type II error would occur if Anna believes there is insufficient evidence to conclude that the capacity of her car's gas tank is not 10 gallons when, in fact, it is not 10 gallons. In other words, Anna fails to reject the null hypothesis (that the capacity is 10 gallons) when it is actually false (the capacity is not 10 gallons).

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Before the discount, the price of the table was $112.5.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the discount of 64% and the final sale price will be $72.

Assume the original price be {x}. Then, we can write -

72 = 64% of {x}.

72 = (64/100) x {x}

{x} = (72 x 100)/(64)

{x} = 7200/64

{x} = 112.5

Therefore, before the discount, the price of the table was $112.5.

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Answer:

\(m = -2\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\)

Points: (-2, 8), (1, 2)

\(m = \frac{8-2}{-2-1}\)

\(m = -2\)

Answer:

12 inches long

Step-by-step explanation:

So you have the ratio x : 3x

4x = 48

x = 12

Plug in:

12 * 1 = 12

The length of the shorter piece is 12 inches if the 48​-inch board is cut into two pieces. One piece is three times the length of the other.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A 48​-inch board is cut into two pieces. One piece is three times the length of the other.

Let x and y be the length.

x = 3y

x + y = 48

3y + y = 48

y = 12 inches

x = 36 inches

Thus, the length of the shorter piece is 12 inches if the 48​-inch board is cut into two pieces. One piece is three times the length of the other.

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The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

The situation forms a linear equation. Therefore,

y = mx + b

where

Therefore, let's model the equation linearly,

where

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

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Answer:

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

How to represent a linear equation?

The situation forms a linear equation. Therefore,

y = mx + b

where

m = slope

b = y-intercept

Therefore, let's model the equation linearly,

where

b = number of books bought

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

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b) E(112) is less than 1, the demand is inelastic at a price of $112.

c) The value of p for which total revenue is a maximum is $229.33.

To find the elasticity of the demand function D(p), we need to use the formula:

E(p) = (p/q) x (dq/dp)

where p is the price and q is the quantity demanded.

Given that D(p) = √(344 - p), we can find the derivative of D(p) with respect to p:

\(\dfrac{dD}{dp} = \dfrac{-1}{2}(344 - p)^{(\frac{-1}{2})} \times (-1) \\\dfrac{dD}{dp} = \dfrac{1}{2}(344 - p)^{(\frac{-1}{2})\)

Simplifying this expression, we get:

E(p) = p/(2(344 - p))

b) To find the elasticity at p = 112, we can substitute p = 112 into the equation for E(p):

E(112) = 112/(2(344 - 112)) = 0.26

Since E(112) is less than 1, the demand is inelastic at a price of $112.

c) To find the value(s) of p for which total revenue is a maximum, we need to use the formula for total revenue:

TR(p) = pq = pD(p)

Substituting D(p) = √(344 - p), we get:

TR(p) = p√(344 - p)

To find the maximum value of TR(p), we need to find the derivative of TR(p) with respect to p and set it equal to zero:

d(TR)/dp = √(344 - p) - p/(2√(344 - p)) = 0

Multiplying both sides by 2√(344 - p), we get:

2(344 - p) - p = 0

Simplifying this equation, we get:

p = 229.33

Therefore, the value of p for which total revenue is a maximum is $229.33.

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Answer: -2 -1 -0

Step-by-step explanation:

The solution of the sin (10x) cos (7x) is 1/2 sin(17x ) + sin(3x).

We can calculate with the help of one of the trigonometric identities;

sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)

WE have given

sin (10x) cos (7x)

Here, A = 10x

B= 7x

So, sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)

sin(10x) cos(7x) = 1/2 sin(10x + 7x ) + Sin (10x - 7x)

sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)

sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)

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Answer: 9

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral are supplementary. The sum of the opposite angles is equal to 180˚

x+100=180

x=180-100=80

Answer:

answer is 15 and second one i dont know yet sorry am doing scoo

Step-by-step explanation:

The equation of an ellipse with the center at (0,0), a height of 10 units, and a width of 16 units is:

(x^2/8^2) + (y^2/5^2) = 1

In this equation, the denominators 8 and 5 are the semi-major axis and semi-minor axis, respectively.

An ellipse is a geometric shape that resembles a stretched or compressed circle. It has two axes: the major axis (which represents the longest diameter of the ellipse) and the minor axis (which represents the shortest diameter of the ellipse).

In the given problem, the center of the ellipse is (0,0), which means the coordinates of the center coincide with the origin of the coordinate system. This simplifies the equation because the x and y terms are centered around zero.

The height of the ellipse is 10 units, which is twice the length of the semi-minor axis. The width of the ellipse is 16 units, which is twice the length of the semi-major axis.

To determine the equation of the ellipse, we divide the x and y terms by the squared values of the semi-major and semi-minor axes, respectively. This normalizes the coordinates so that the equation holds true for points on the ellipse.

By setting the sum of the squared terms equal to 1, we ensure that points lying on the ellipse satisfy the equation. This equation represents an ellipse with its major axis along the x-axis and its minor axis along the y-axis.

Overall, the equation (x^2/8^2) + (y^2/5^2) = 1 represents an ellipse centered at the origin (0,0), with a height of 10 units and a width of 16 units.

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Using food labling :

The product contains 13 grams of total fat and 20 percent of the daily value. this means that

13 grams of fat provides 20% or one-fifth of the recommended total daily fat intake.

Food level :

food labels contain a lot of information about most packaged foods. Food labels are called "Nutrition Facts".itle or Job:

The US government requires food labels on most packaged foods. Labels provide complete, useful and accurate nutritional information. The government encourages food manufacturers to improve the quality of their products so that people can make healthier food choices.

Serving Sizes

Label serving sizes are based on the average amount of food people typically eat.

Label serving sizes are not necessarily healthy serving sizes.

Amount Per Serving

Total calories per serving are displayed in large print. This allows the consumer to count the number of calories per serving like total fat. Sodium; Total Carbs

PERCENT DAILY VALUE (% DAILY VALUE)

Many nutrients have a Percent Daily Value (%DV). This indicates how much each serving contributes to the total recommended daily intake of each nutrient. increase. This means that 13 grams of fat provides 20% or one-fifth of the recommended total daily fat intake.

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Answer:

Below

Step-by-step explanation:

The plane's distance is the hypotenuse of a right triangle with legs of

(50 -20)mi = 30 miles     and     30500 - 18000 = 12500 ft

                             for consistent units  12500ft/5280ft/mile = 2.36742 miles

Now just use Pythagorean theorem

Hypotenuse^2 = leg1^2 + leg2^2

               h^2    = 30^2 + 2.36742^2

                   h = ~ miles 30.093 miles  ( note that the vertical descent distance does not matter much)

    (this is 158 892 feet)

Step-by-step explanation:

Translation: (x,y)↦( 9, -12)

Scale factor: 2

Translation:

(x,y)↦( 9, -12 )

Scale factor:

2 is the required answer.

Answer: The maximum value of the function is 4

Answer:

see below

Step-by-step explanation:

3)   8

4)  4

5)  14

6)  47

7)  18/5

8)  3/2

9)  255/4

10)  16

11)  21

12)  40

13)  73.5

14)  1

15)  25/2 or 12.5

16)  0

17)  48

18)   862

19)  9765625

20)  343

21)  8.1x10⁻³

22)  10.24

23)  1/156

24)  n⁷

25)  y⁶

26)  t⁴

27)  error is 0.4² should be 0.02²

28)  5⁴ = 5 x 5 x 5 x 5 = 625

29)  9

30)  100

31)  1

32)  1331

33)  125

34)  1024

35)  64

36)  1296

37)  1/16

38)  16/81

39)  27/125

40)  1/216

hope you enjoy the answers.

Answer:

thx

Step-by-step explanation:

the number is 249

4 is the digit in the tens

9 is the digit in the units

and the number is between 200 and 300

Answer:

no if the diameter was 7.2 inches the circumstance would be 22.62 :)

NO , this fact does not indicate that there was bias in the selection process and that the selection process was not random.

This fact does not indicate that there was bias in the selection process and that the selection process was not random unless we know the number of different subject majors among the thirty volunteers.

It is possible that out of 30 volunteers , 20  can be from music majors and the rest 10 are majors from other subjects.

so in this case it is possibility for the process to be random and for the three students in the committee to all end up being music majors.

Therefore , by the given information it can be said that the selection process  was random and unbiased.

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Answer:

Positive

Step-by-step explanation:

Answer:

50 + 11.5x = 188

Step-by-step explanation:

Answer:

Step-by-step explanation:

equation: 11.5x+50=188

Answer:x=12

Answer:

35

Step-by-step explanation:

a=√ c^2−b^2

a=√12^2−35^2

a=√ 144−1225

a=√  −1081

a= 35

Answer:

x= 9.8

Step-by-step explanation:

Just did it said it was correct

Answer:

Option B

Step-by-step explanation:

You'll find one solution for this, so this system has one solution

Answer:

B.

Step-by-step explanation:

Just did it and got it correct

Answer:

The correct answer is: Option D: \(t = 5s + \frac{s}{2}\)

Step-by-step explanation:

Given that

Weight of snail is s

We have to use the given statements to write the mathematical expression

The snail drank water 5 times of its weight

So the quantity of water will be 5s

And it ate half of its weight's food which will be s/2

The combined weight of water and food will be:

\(t = 5s + \frac{s}{2}\)

Hence,

The correct answer is: Option D: \(t = 5s + \frac{s}{2}\)

either $0.50 × $1 or $0.50÷ $1 hope this answer helps

Lambert calls the difference between the angle-sum of a triangle and 180 degrees the defect.

Therefore, Lambert calls the difference between the angle-sum of a triangle and 180 degrees the defect.

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Answer:

45%

Step-by-step explanation:

1,450 - 1,000 = 450

the 450 becomes 0.45

to make 0.45 a percent, we multiply it by 100

0.45 x 100 = 45

45%