Determine the number of significant digits in the measurement0.0136553 cmWhat is the answer

The symbolic quantified statement is given as:

For all real integers x and y, if x³ = y³, then x = y.

Using quantifiers, this can be written as:

∀x,y∈ℝ, (x³ = y³) → (x = y)

The symbolic quantified statement represents the original sentence using logical symbols and quantifiers.

The universal quantifier (∀) is used to denote "for all," while the implication arrow (→) represents "if... then." The statement asserts that if the cubes of any two real integers x and y are equal, then x and y are equal as well.

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Answer:

m<2 = 100

Step-by-step explanation:

136 <abc Given

136-197= 39 = <1

so 136 - 39 = 197=<2

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{18}}}}}\)

Step-by-step explanation:

Given, y = 3 , z = 3

\( \sf{z(y + y)}\)

Plug the value of y and z

⇒\( \sf{3(3 + 3)}\)

Add the numbers : 3 and 3

⇒\( \sf{3 \times 6}\)

Multiply the numbers : 3 and 6

⇒\( \sf{18}\)

Hope I helped!

Best regards! :D

Answer:

a. 110°

Positive coterminal angles: 110° + 360° = 470°, 110° + 2(360°) = 830°

Negative coterminal angles: 110° - 360° = -250°, 110° - 2(360°) = -610°

b. 165°

Positive coterminal angles: 165° + 360° = 525°, 165° + 2(360°) = 885°

Negative coterminal angles: 165° - 360° = -195°, 165° - 2(360°) = -555°

c. -10°

Positive coterminal angles: -10° + 360° = 350°, -10° + 2(360°) = 710°

Negative coterminal angles: -10° - 360° = -370°, -10° - 2(360°) = -730°

Step-by-step explanation:

When an angle is in the standard position, it means that the initial side of the angle is the positive x-axis, and the terminal side of the angle is located in one of the four quadrants of the coordinate plane.

To find coterminal angles, we need to add or subtract multiples of 360 degrees to the given angle while keeping the terminal side in the same position. This is because a full rotation around the origin in the coordinate plane is 360 degrees.

For positive coterminal angles, we add multiples of 360 degrees to the given angle. In the case of 110 degrees, we can add 360 degrees once or twice to get 470 degrees or 830 degrees, respectively.

For negative coterminal angles, we subtract multiples of 360 degrees from the given angle. In the case of -10 degrees, we can subtract 360 degrees once or twice to get -370 degrees or -730 degrees, respectively.

It's important to note that there are infinitely many coterminal angles for any given angle, but we usually restrict our answers to the smallest positive and negative angles that differ from the given angle by a multiple of 360 degrees.

Using the parallelogram law to find m, the value of m is 50°.

The parallelogram law states that the sum of the squares for a parallelogram's four sides is equal to the sum of the squares for its two diagonals.

The parallelogram must have equal opposed sides in Euclidean geometry.

If ABCD is a parallelogram, then AB = DC and AD = BC, the parallelogram law is stated as:

2(AB)² + 2 (BC)² = (AC)² + (BD)²

If the parallelogram is a rectangle, the parallelogram law is stated as:

2(AB)² + 2 (BC)² = 2(AC)²

The value of the unknown angles in the parallelogram are as follows:

CED = 180 - (60 + 33 + 37)

CED = 50°

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Answer:

domain: (-4,4)

Step-by-step explanation:

i'm not sure if it has brackets because it doesn't have point that are on x-intervals -4 and 4

Answer:

Please check the attached graph below.

Step-by-step explanation:

We know that a dot plot illustrates a visual display of data using dots.

Given that Ramon recorded how many miles he biked each day in the table, such as:

Distance (mi)              Frequency

1                                    2

2                                   2

3                                   4

4                                   4

5                                   2

6                                   2

The dot plot of data points plotted as dots on a graph with an x- and the y-axis is attached below.

Answer

got the quiz right

Step-by-step explanation:

     x x

     x x

x x x x x x

x x x x x x

Answer:

The power is 32 because that is what 2 to th 5 is , 2 is the base as its the number being multiplied 5 times which leaves 2 as the exponent.

Answer: The area is going to be 0.8

Step-by-step explanation:  The diameter is 1

You need the radius of the circle which is half the diameter. So the Radius(R) is 0.5.

After you find the radius of the circle to find the area of the circle you use the formula pie (R)^2. You are using 3.14

3.14(0.5)^2= 0.785

you then want to round your answer to the nearest tenth so the 8 turns the 7 into an 8.

So, the Area is 0.785 but after rounding it is 0.8.

Hope that helped :)

Answer:

Step-by-step explanation:

if we already have a 1 and the answer is -5, we still don't know what T is. T is -6 because,  -6 - 1 = -5

Answer:

ok

Step-by-step explanation:

1) 35 094

2) 761 169 102

3) 3059 117 718

4) 75.6

5) P 1 450.90

The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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Answer:

-27

Step-by-step explanation:

(-243)^3/5

We know that a^b^c = a^ (b*c)

(-243) ^ 1/5 ^3

We know (-243) ^ 1/5 = -3

(-3) ^3 = -27

Answer:

Step-by-step explanation:

The sum of supplementary angles is 180°.

5x+95 = 180

5x = 85

x = 17°

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Answer:

-------------------------

Given two legs of a right triangle and we need to find the hypotenuse.

Use Pythagorean theorem:

The matching choice is C.

We can see here that option C gives us the box-and-whisker plot that matches the data.

A box plot, also referred to as a box-and-whisker plot, is a statistical visualization technique that shows an overview of a dataset's distribution. When comparing different datasets or analyzing data with outliers, it is especially helpful.

Two whiskers that protrude from a rectangular box make up the box-and-whisker plot.

We can see that rearranging the data, 8, 8, 2, 8, 5, 4, 8, 6, 7, 9, 8, 3, 10, 4, 4, 5, 12, we have:

2, 3, 4, 4, 4, 5, 5, 6, 7, 8, 8, 8, 8, 8, 9, 10, 12

Median = 7

First Quartile = 2 + 3 + 4 + 4 + 4 + 5 + 5 + 6 = 33/8 = 4.125 ≈ 4

Third Quartile = 8 + 8 + 8 + 8 + 8 + 9 + 10 + 12 = 71/8 = 8

Thus, we see that option C is the correct answer.

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Answer:

f(x) = -2x² - 8x - 2

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define function

Vertex Form: f(x) = -2(x + 2)² + 6

Step 2: Find Standard Form

The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).

3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units  \(cm^2\) or \(mm^2\)  where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) \(m^2\)

4) \(km^2\)

5) \(in^2\)

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Step-by-step explanation:

4^2/3

but I got 4^-3/3

hope help ful

Answer:

4

Step-by-step explanation:

-4/(k+7)

For k=-8

-4/(-8+7)

-4/-1

4

The number of students in mrs. Smith's class in exponent form is 3⁷.

Given that, Mrs. Smith has 3¹⁰ pencils in her classroom. Each student gets 3³ pencils.

Let the number of students in the class be represented by n.

To get the number of students in the class, divide the total number of pencils by the number of pencils each student got.

n = Total number of pencils ÷ Number of pencils each student gets

n = 3¹⁰ ÷ 3³

Since they both have the same base, we subtract the exponents

n = 3¹⁰ ⁻ ³

n = 3⁷

Therefore, the number of students is 3⁷.

Option D) 3⁷ is the correct answer.

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Answer: bot eleum got it right

Step-by-step explanation:

The value of the expression a(b + c) when a = 2, b = 3, and c = 4 is 14.

Given the expression in the question:

a( b + c )

Also, a = 2, b = 3, and c = 4

To evaluate the expression a( b + c ) when a = 2, b = 3, and c = 4, we substitute these values into the expression:

Hence:

a( b + c )

Plug in a = 2, b = 3, and c = 4

2( 3 + 4 )

First, we simplify the parentheses by adding 3 and 4:

2( 7 )

Next, we multiply 2 and 7:

14

Therefore, the value of a(b + c) is 14 .

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Answer:

-3.75

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c) . A 90% confidence interval would be wider than the 95% interval

To verify the Central Limit Theorem (CLT) conditions, we need to check the following:

1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.

2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.

3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.

Therefore, the Central Limit Theorem conditions are met.

b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:

CI = p ± z * √(p(1-p)/n)

where:

- p is the sample proportion (82% or 0.82 in decimal form).

- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.

- n is the sample size (800).

Calculating the confidence interval:

CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)

CI = 0.82 ± 1.96 * √(0.82*0.18/800)

CI = 0.82 ± 1.96 * √(0.1476/800)

CI = 0.82 ± 1.96 * √0.0001845

CI ≈ 0.82 ± 1.96 * 0.01358

CI ≈ 0.82 ± 0.0266

The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.

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Answer:

Angle b = 77 degrees

Angle c = 180 - 77 = 103 degrees

Step-by-step explanation: