The shape in the figure is a square. Use the properties of a square to determine the value of x.
Question 3 options:

A) Can't be determined.

B) x = 2

C) x = 4

D) x = 0

The solution of the inequality is 8 ≥  x  or x > 10. The graph of the solution is attached

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Solving for x:

11≥ 2x - 5 or 2x - 5 > 15

Collect like terms:

11 + 5 ≥ 2x  or 2x > 15 + 5

16 ≥ 2x  or 2x > 20

8 ≥  x  or x > 10

Note:  8 ≥  x can also be written as x ≤ 8

We can combine the two as follow:

Inequality notation: 8 ≥  x > 10

The graph of the solution is attached

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From the temperatures given, we have that:

a) The regression equation is: y = 2.91x + 64.61.

b) The predicted temperature at 2 pm is of 88 ºF.

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

In the context of this problem, the input and the output are given as follows:

We have that an hour is 60 minutes, hence:

Thus the points are given as follows:

(0, 65), (0.75, 67), (1.5, 68), (2.5, 72), (3, 74), (3.75, 75), (4.5, 77), (5,80).

Inserting these points into the calculator, the equation is:

y = 2.91x + 64.61.

2 pm is 8 hours after 6 am, hence x = 8 and the predicted temperature, in ºF, is given by:

y = 2.91(8) + 64.61 = 88 ºF.

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Answer:

To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.

Substituting the values of a, b, and c:

a = 3

b = a² = 3² = 9

c = a³ = 3³ = 27

Now let's simplify the expression:

(a÷b)³×(b÷c)×(c÷a)³

(3÷9)³×(9÷27)×(27÷3)³

Simplifying each term:

(3÷9) = 1/3

(9÷27) = 1/3

(27÷3) = 9

Now we can substitute the simplified values back into the expression:

(1/3)³×(1/3)×9

Simplifying further:

(1/27)×(1/3)×9

1/9

Therefore, the simplified expression is 1/9.

Answer: I think it's

37×2×(-5+5+1/2) = inverse property of addition

37×2×(0+1/2) = commutative property

37×2×1/2 = identity property of addition

37×1 = inverse property of multiplication

37 = identity property of multiplication

Step-by-step explanation:

hope this helps!

37 • 2 • (-5+ 5+ 1/2)  is matched with (inverse property of addition).

"When adding a number and its inverse together, the inverse property of addition states that the sum will always be zero."

37 • 2 • (0 + 1/2 ) (commutative property)

" The order in which we multiply numbers does not change the product."

37 • 2 • 1/2 (identity property of addition)

"The sum of 0 and any number is that number."

37 • 1  ( inverse property of multiplication )

" The inverse property of multiplication states that if you multiply a number by its reciprocal, also called the multiplicative inverse, the product will be 1."

37 ( identity property of multiplication )

" The product of 1 and any number is that number."

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Given:

The point A(5, 7).

To given transformation is (x-5, -y+2).

So,

The new point is,

Therefore, the coordinate for A' after the given transformation has occured is A'(0,-5).

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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Answer:

Step-by-step explanation:

This is a test of 2 independent groups. Let μ1 be the mean dissolution time for disk-shaped ibuprofen tablets and μ2 be the mean dissolution time for oval-shaped ibuprofen tablets.

The random variable is μ1 - μ2 = difference in the mean dissolution time for disk-shaped ibuprofen tablets and the mean dissolution time for oval-shaped ibuprofen tablets.

We would set up the hypothesis.

a) The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test.

For disk shaped,

Mean, x1 = (269.0 + 249.3 + 255.2 + 252.7 + 247.0 + 261.6)/6 = 255.8

Standard deviation = √(summation(x - mean)²/n

n1 = 6

Summation(x - mean)² = (269 - 255.8)^2 + (249.3 - 255.8)^2 + (255.2 - 255.8)^2+ (252.7 - 255.8)^2 + (247 - 255.8)^2 + (261.6 - 255.8)^2 = 337.54

Standard deviation, s1 = √(337.54/6) = 7.5

For oval shaped,

Mean, x2 = (268.8 + 260 + 273.5 + 253.9 + 278.5 + 289.4 + 261.6 + 280.2)/8 = 270.7375

n2 = 8

Summation(x - mean)² = (268.8 - 270.7375)^2 + (260 - 270.7375)^2 + (273.5 - 270.7375)^2+ (253.9 - 270.7375)^2 + (278.5 - 270.7375)^2 + (289.4 - 270.7375)^2 + (261.6 - 270.7375)^2 + (280.2 - 270.7375)^2 = 991.75875

Standard deviation, s2 = √(991.75875/8) = 11.1

b) Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

Therefore,

t = (255.8 - 270.7375)/√(7.5²/6 + 11.1²/8)

t = - 3

c) The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [7.5²/6 + 11.1²/8]²/[(1/6 - 1)(7.5²/6)² + (1/8 - 1)(11.1²/8)²] = 613.86/51.46

df = 12

We would determine the probability value from the t test calculator. It becomes

p value = 0.011

d) Since alpha, 0.05 > than the p value, 0.011, then we would reject the null hypothesis. Therefore, we can conclude that at 5% significance level, the mean dissolve times differ between the two shapes

Answer:

manly Scorpio track usually residual Flo 0 taken

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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The value of x in the diagram is 80°

What is an isosceles triangle?

Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides. In this article, we will learn about the definition of an isosceles triangle and its properties.

The body of the calculation is attached in a document.

In conclusion the value of x is 80°

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The probability is P = 0.51, and the odds are 15 to 14.

If all the ties have the same probability of being randomly choosen, then the probability of randomly selecting a tie that goes well with the sports coat is equal to the quotient between the number of ties that goes well with the sports coat (15) and the total number of ties.

The probability will be:

P = 15/29 = 0.51

And the odds are the number of good ties to the number of the other ones, there are 15 good ones and 14 bad ones, so the odds are 15 to 14.

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Based on an equation, Ann has $40 while Betty has $20.

An equation is a mathematical statement that two or more mathematical expressions are equivalent or equal.

An equation is depicted using the equation symbol (=).

The solution of an equation proves the equality of the mathematical expressions.

In this situation, we set the amount that Ann and Betty have together as an equation.  The equation solutions show the different amounts Ann and Betty possess from the total amount that both have together.

The total amount Ann and Betty have = $60

Let the amount that Betty has = x

Let the amount that Ann has = 2x

x + 2x = 60

3x = 60

x = 20

Betty's amount, x = $20

Ann's amount, 2x = $40

Using an equation, we can determine that Ann and Betty have $40 and $20, respectively.

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Answer:

y = 3x + 9 and y = 3x + 13

Step-by-step explanation:

y = 3x + 9 and y = 3x + 13

The above system of linear equations have no solutions.

Answer:

y = 3x + 9 and y = 3x + 13

Step-by-step explanation:

i did the quiz i got a 90% but i got this right.

Let:

Solving for c:

Answer:

36 minutes

Answer:

i forgot, im trying to remeber.

Step-by-step explanation:

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

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

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Answer:

k=0.4

Step-by-step explanation:

y=kx, x=10, y=4

k=y/x

k=4/10 = 0.4

The scale factor going from the first to the second triangle according to the task content is; 2.

The length of the longest side of.the triangle as required in the task content is; 24.

According to the task content, it follows that the two triangles are similar.

Therefore, the corresponding sides of such triangles must be in proportion.

Therefore the scale factor from the first to the second triangle as required is;

Scale factor = 12/6; since the shortest sides are corresponding sides.

Scale factor = 2.

Hence, since the length of the longest side in the first triangle is 14, the length of the longest side in the second triangle is;

L = 2 × 14

L = 28

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The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.

In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.

The next choice shows the triangle's side length:

The point is,

The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.

Using Pythagoras' Theorem.

Use the formula:

a² + b² = c²

For 4, 8, 11

4, 8, 11

4² + 8² = 16 + 64 = 80

11² = 121

80 is not equal to 121 it cann ot form a right triangle

For 6, 8, 13

6² + 8² = 36 + 64 = 100

13² = 169

100 is equal to 169 - 69 can form a right triangle

For √3, √5, 8

(√3)² + (√5)² = 3 + 5 = 8

8² = 64

8 is equal to 64 cannot form a right triangle

For √3, √13, 4

(√3)² + (√13)² = 3 + 13 = 16

4² = 16

16 is equal to 16 can form a right triangle

In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.

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The order of the side lengths of the triangles from the least to the greatest is Lk < JL < IJ < JK < IK.

If the angle facing a side of a triangle increases, then the length of the opposite side may also increase. This is because the larger the angle, the more vertical the opposite side becomes, and therefore the longer it may become.

Conversely, if the angle facing a side of a triangle decreases, then the length of the opposite side may also decrease. This is because the smaller the angle, the less vertical the opposite side becomes, and therefore the shorter it may become.

From the given diagram, the largest side of the triangle will be the side directly opposite the largest angle.

Also, the smallest side of the triangle will be the side directly opposite the smallest angle.

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Answer:

12 is the height. Hope this helps!!

Answer:

y=-    -w+square root w2-12x/6,    y=-   -w-square root w2-12x/6

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The domain is the horizontal extent. The range is the vertical extent. An arrow on the end of the graph means it extends to infinity in the same direction. An open circle indicates a point that is not included in the graph. A square bracket in interval notation means the point is included in the interval; a round bracket (parenthesis) means the point is not included. By convention, infinity is indicated with a round bracket, because it is not a specific number.

1. D: [-4, 2]; R: [-2, 4]

2. D: (-∞, 5]; R: [0, 0]

3. D: [0, 5); R: [0, 7)

4. D: (-∞, ∞); R: [0, ∞)

Given,

The construction crew took 6 weeks to build 7.68 kilometers of road.

Rate of built the roads,

Therefore, the rate of building the roads is 1.28 per week.

9514 1404 393

Answer:

Step-by-step explanation:

The acute angles in a right triangle are complementary:

  2x° +(x -6)° = 90°

  3x = 96 . . . . . . . . . divide by °, add 6

  x = 32 . . . . . . . . . divide by 3

  (x-6)° = (32 -6)° = 26°

  2x° = 2(32)° = 64°

The acute angles have measures 26° and 64°.

Answer:

x = 13

Step-by-step explanation:

We know that 5x, x+12, and 90 makes a straight line, which is 180 degrees

5x + x+12 + 90 = 180

Combine like terms.

6x+102=180

Subtract 102 from each side.

6x+102-102=180-102

6x = 78

Divide each side by 6

6x/6 = 78/6

x = 13

Answer:

x = 13

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

We know that,

→ The angle of right angle is 90°.

Forming the equation,

→ (x + 12)° + (5x)° = 90°

Then the value of x will be,

→ (x + 12)° + (5x)° = 90°

→ x + 12 + 5x = 90

→ (x + 5x) + 12 = 90

→ 6x + 12 = 90

→ 6x = 90 - 12

→ 6x = 78

→ x = 78 ÷ 6

→ [ x = 13 ]

Hence, the value of x is 13.

Answer:

520

Step-by-step explanation:

So you multiply 650 by 0.8 and you get 520. 0.8 is 80% but in a decimal form.

The given box plot represented by the data sets in option A and B.

From the given box plot, we have

Minimum value = 3

Maximum value = 18

First quartile (Q1) = 7

Third quartile (Q3) = 13

Median = 10

Option A:

3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18

Median = 12

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option B:

3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Option C:

3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option D:

2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Therefore, the correct options are B and D.

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