Order the square root of 70, negative 8.2 repeating, twenty five thirds, and negative eight and four sevenths from least to greatest. negative eight and four sevenths, negative 8.2 repeating, square root of 70, twenty five thirds negative eight and four sevenths, negative 8.2 repeating, twenty five thirds, square root of 70 negative 8.2 repeating, negative eight and four sevenths, twenty five thirds, square root of 70 negative 8.2 repeating, negative eight and four sevenths, square root of 70, twenty five thirds

Answer:

x≥2 and x<2 : ∅

x≥2 or x<2 : All real numbers

x≤2 and x≥2 : 2

Step-by-step explanation:

the first one must follow both conditions, so no number would work.

the second one works with any number, so all real numbers.

the third one has only one condition that works, 2

Answer: 53.1

Step-by-step explanation: Divide 35.40 by 2 to get 17.7. now add 35.40 with 17.7 and you get 53.1

Answer:

Step-by-step explanation:

Circumference would be if the situation is asking for the amount of something around the edge. For example, the number of tiles to be placed around the swimming pool would be asking for circumference.

Area would be if the situation is asking for the amount of something spread through the entire item. For example, the amount of water total in a swimming pool would be asking for area.

Hope it helps!

The system of Inequalities that represents the possible number of cupcakes and cookies that Allison should buy is;

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

We are told that;

a is the number of cupcakes

b is the number of cookies

Then this inequality is written as;

a + b ≥ 40

Thus, the inequality would be;

a + 5 ≤ b

Therefore, the inequality is;

2.50a + 1.50b ≤ 105

In total, the 3 inequalities would be;

a + b ≥ 40

a + 5 ≤ b

2.50a + 1.50b ≤ 105

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f(3)=10 I think this is it

Answer:

f(3) = -11

Step-by-step explanation:

should be lol

Step-by-step explanation:

we can also write them as,

Now, from -a²-2ab-b² if we take - as common term then we get,

Now, by using the concept of a²+2ab+b²=(a+b)²

I hope it helped U

stay safe stay happy

Answer:

20%

Step-by-step explanation:

4+3+7=14

14÷7=2

2×10=20

If I am wrong please tell me I haven't had to do this me method in 3 years

The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

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The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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Step-by-step explanation:

1) supplementary

2) complementary

3) neither

4) neither

5) supplementary

6) complementary

7) supplementary

8) neither

9) complementary

The three (3) statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   ....equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

From the information provided above, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

Comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x – 0)² + (y - 0)² = 3²

x² + y² = 9.

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Answer:

68°

Step-by-step explanation:

The angles are equal to each other.  Set them equal and solve for x

5x + 18 = 8x - 12  Subtract 5x from both sides of the equation

18 = 3x - 12  Add 12 to both sides of the equation

30 = 3x  Divide both sides by 3

10 = x

Now that you have found x plug is back into  5x + 18

5(10) + 18

50 + 18 = 68

Answer:

∠ FLJ = 68°

Step-by-step explanation:

∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then

8x - 12 = 5x + 18 ( subtract 5x from both sides )

3x - 12 = 18 ( add 12 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°

The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)

To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.

Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".

Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,

=> 16 = 2 1/2 + 2 1/4b

Hence the correct option is (b).

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Answer:

angle 1=149°

angle 2=31°( because they are alternating angles)

Answer: No

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

They don't have the same size.

6! is short for 6 factorial and is calculated by multiplying all the integers from 1 to 6. So the answer is 720 ways.

6! = 720

6! is short for 6 factorial and is calculated by multiplying all the integers from 1 to 6. So the answer is 720 ways.

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

So the answer is 720 ways.

There are 720 ways in which a multiple-choice question on an online quiz with six answer choices can be displayed. This is calculated by multiplying all the integers from 1 to 6, which is referred to as 6 factorial, or 6!. 6! is calculated by multiplying 6 x 5 x 4 x 3 x 2 x 1, which equals 720. This means that there are 720 possible combinations of answer order that can be shown to each student when they take the quiz. With such a wide variety of possible answers, students can focus on the content of the question rather than on the order of the answers, which can help to reduce bias and ensure the validity of the quiz.

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The amount of flour he get in per dollar will be;

⇒ 1.625 dollars

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Pablo bought 13 pounds of flour for $8.

Now,

Since, Pablo bought 13 pounds of flour for $8

Hence, The amount of flour he get in per dollar = 13/8

                                                                          = 1.625 pounds

Thus, The amount of flour he get in per dollar will be;

⇒ 1.625 dollars

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Answer:

63

Step-by-step explanation:

Tan x = 3.5/1.8

Tan X=1.94444

x=62.78

Answer:

x = 12

Step-by-step explanation:

We know that the integers are consecutive. This means that they can be written as:

x, x + 1, and x+2.

First Integer: x

Second Integer: x + 1

Third Integer: x + 2

It is also given that the sum of the first integer and twice the second is 80 minus three times the third.

Write as an equation:

First Integer + 2(Second Integer) = 80 - 3(Third Integer)

Substitute:

x + 2(x+1) = 80 - 3(x+2)

Multiply:

x + 2x + 2 = 80 - 3x - 6

Simplify:

3x + 2 = 74 - 3x

Add 3x to both sides of the equation:

6x + 2 = 74

Subtract 2 from both sides of the equation:

6x = 72

Divide both sides of the equation by 6:

x = 12

Let me know if you have any questions about my explanation!

Answer:

Step-by-step explanation:

According to question ,

• First Integer → x

• Second Integer → x + 1

• Third Integer → x + 2

Now question says that the sum of the first and twice the second is 80 minus three times the third that means ,

→ x + 2 ( x + 1 ) = 80 - 3 ( x + 2 )

→ x + 2x + 2 = 80 - 3x - 6

→ 3x + 2 = -3x + 74

→ 3x + 3x = 74 - 2

→ 6x = 72

→ x = 72/6

→ x = 12

Hence , value of x is 12 that means :

→ x = First Integer = 12

→ x + 1 = Second Integer = 13

→ x + 2 = Third Integer = 14

In all of these x is the smallest integer and hence 12 is the correct answer .

The probability that there will be no more than two machines malfunctioning within 900 hours is approximately 0.874.

Let X be the total operation life of all five graders. Since the conditions of the graders are independent, X is a sum of five independent lognormal random variables.

The mean and standard deviation of the lognormal distribution are related to the mean and coefficient of variation (CV) of the underlying normal distribution as follows

Mean of lognormal distribution = exp(μ + σ^2/2)

Standard deviation of lognormal distribution = sqrt(exp(2μ + σ^2) - exp(2μ + σ^2/2))

where μ and σ are the mean and standard deviation of the underlying normal distribution, respectively.

Using the given mean and CV of the graders' operation life, we can find the parameters of the underlying normal distribution as follows

μ = ln(1500) - (1/2)*ln(1 + 0.3^2) = 7.245

σ = sqrt(ln(1 + 0.3^2)) = 0.274

Then, the mean and standard deviation of X are

Mean of X = 5exp(μ + σ^2/2) = 5exp(7.534) = 4012.9

Standard deviation of X = sqrt(5exp(2μ + σ^2) - 5exp(2μ + σ^2/2)) = 483.2

Let Y be the number of graders that malfunction within 900 hours. Then Y follows a binomial distribution with parameters n = 5 and p = P(T ≤ 900), where T is the operation life of a single grader. To find P(T ≤ 900), we use the properties of the lognormal distribution

P(T ≤ 900) = P(ln(T) ≤ ln(900)) = P((ln(T) - μ)/σ ≤ (ln(900) - μ)/σ)

where the last step follows from standardizing the random variable (ln(T) - μ)/σ.

Using a standard normal distribution table or calculator, we can find that

P((ln(T) - μ)/σ ≤ (ln(900) - μ)/σ) = P(Z ≤ -1.659) = 0.0492

where Z is a standard normal random variable. Therefore,

p = P(Y ≤ 2) = Σ_{k=0}^2 (5 choose k)0.0492^k(1 - 0.0492)^(5-k) = 0.874

where (5 choose k) is the binomial coefficient.

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Answer:

(5, 0)

Step-by-step explanation:

The ordered pair located 5 units to the right on the x axis is (5, 0) which indicates the x-location first (x = 5) and the y-location in the second coordinate (y = 0)

Answer:

0.708

Step-by-step explanation:

The calculation of linear correlation coefficient r is shown below:-

Cost        Number

9                 85

2                 52

3                  55

4                  68

2                  67

5                  86

9                  83

10                 73

linear correlation coefficient r = 0.70772136

or

= 0.708

For better understanding find the spreadsheet at attached and follow some steps to reach the answer

Step 1 Put the values of cost and number

Step 2

Step 2 Go to data, select data analysis now click on Correlation and click ok

Step 3 Select the range from A2 to B9

Step 4 Then click OK to get the result

The value of the linear correlation coefficient, r, as calculated using Microsoft excel is: 0.708.

(See image attached below)

Therefore, the value of the linear correlation coefficient, r, as calculated using Microsoft excel is: 0.708.

(See image attached below)

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Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

3÷2 is the equation u would use to find out the amount for each.

The proportional equation to calculate the amount of flour needed is y= 3/2 x.

Constant of proportionality is the constant value of the ratio between two proportional quantities. Two varying quantities are said to be in a relation of proportionality when, either their ratio or their product yields a constant. The value of the constant of proportionality depends on the type of proportion between the two given quantities: Direct Variation and Inverse Variation.

Direct Variation: The equation for direct proportionality is y = kx,  which shows as x increases, y also increases at the same rate.

Example: The cost per item(y) is directly proportional to the number of items(x) purchased, expressed as y ∝ x

Inverse Variation: The equation for the indirect proportionality is y = k/x, which shows that as y increases, x decreases and vice-versa. Example: The speed of a moving vehicle (y) inversely varies as the time taken (x) to cover a certain distance, expressed as y ∝ 1/x

Given:

For 2 cake = 3 cups of flour used

So, For 1 cake = 3/2 cups of flour used

Now, let if we have make 7 cake then the flour used

=7 x 3/2

=21/2 cups

=10 1/2 cups of flour.

Hence, the proportion is y= 3/2x where y is cake and x is amount of flour.

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Answer:

560

Step-by-step explanation:

I'm kinda confused on whats being asked i went with just question number 5

Answer:

\(f(x)^{-1} = \sqrt[4]{\frac{x}{3} }\)

Step-by-step explanation:

given f(x) = 3x^4

so let f(x) be y and to find inverse notation, we have to make x the subject

y = 3x^4

\(\frac{y}{3}\) = x^4

x = \(\sqrt[4]{\frac{y}{3} }\)

so, inverse notation is:

\(f(x)^{-1} = \sqrt[4]{\frac{x}{3} }\)

how do you find themoney decrease R1400 in the ratio of 7:3

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°