Reese needs to understand the integer laws to complete his homework. As he recites his rules, he is overheard saying "a positive plus a positive is positive, a negative plus a negative is negative, and a positive plus a negative is a negative". Is he right? Explain why or why not?

Answer:

Step-by-step explanation:

A) Find the figure attached. According to the figure, since line PQ is parallel to line RS, then <CBQ = <DCS (corresponding angle)

Also <BCS + <DCS = 180° (sum of angles on a straight line)

Given

<BCS = (5a+14)° and <DCS = <CBQ =(2a-9)°

Substituting this values into the formula to calculate the value of a;

(5a+14)°+(2a-9)° = 180°

5a+2a+14-9 = 180

7a+5 = 180

7a = 180-5

7a = 175

a = 175/7

a = 25°

Hence the value of a is 25°

B) From the diagram <ABQ = <BCS = 5a+14 (corresponding angle)

Substitute a = 25 into the expression

<ABQ = 5(25)+14

<ABQ  = 125+14

<ABQ = 139°

C) To get <BCR, we will use the formula;

<BCR + <BCS = 180

Given <ABQ = <BCS = 139°

<BCR = 180 - <BCS

<BCR = 180 - 139

<BCR = 41°

Answer:

Part A: 25

Part B: 139

Part C: 41

Step-by-step explanation:

5a+14+2a-9

a=25

5(25)+14

=139

2(25)-9

=41

According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).

To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.

On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.

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Answer:

Step-by-step explanation:

Y2-y1 , x2-x1

7-3=5

10-(-1=11

5/11 so y=5/11x is the answer

Answer:

Y= 1x+-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

BIDMAS

do the bracket first

50+20=70

70+30=100

Answer:

y=1/8-3

Step-by-step explanation:

The slope is 1/8 and the y-intercept is (0,-3)

The slope and y-intercept of the equation 2x - 16y = 48 are 1/8 and -3 respectively; and the slope and y-intercept form of the straight line is y = (1/8)x - 3.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

It is given that:

The equation of the line is:

2x - 16y = 48

As we know, the slope and y-intercept form of the straight line is:

y = mx + c

Here m is the slope of the line

c is the y-intercept

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

2x - 16y = 48

16y = 2x - 48

Divide by 16 on both sides:

y = (2/16)x - 48/16

y = (1/8)x - 3

On comparing with the standard equation:

m =1/8

c = -3

Thus, the slope and y-intercept of the equation 2x - 16y = 48 are 1/8 and -3 respectively; and the slope and y-intercept form of the straight line is y = (1/8)x - 3.

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Answer:

The sample must be randomly selected.

The sample size, n, must be at least 30.

Step-by-step explanation:

Plato

Answer:

The sample must be randomly selected.

The sample size, n, must be at least 30.

Step-by-step explanation:

Plato/Edmentum

Answer: A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.

Step-by-step explanation:

The null hypothesis\((H_0)\) and alternative hypothesis\((H_a)\) both are statements as per the researcher's claim that involves population parameter .

Null hypothesis has  ≤,≥ ,= signs

Alternative hypotheses has < , > , ≠ signs.

A null hypothesis is a statistical hypothesis that is tested for possible rejection under the assumption that it is true.

Answer:

its the first too

Step-by-step explanation:

i just did this

Answer:

39+5(x)<55

Step-by-step explanation:

Answer:

57.3

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}\)

\(\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}\)

\(\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}\)

\(\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}\)

\(\mathsf{=\dfrac{32\times43}{3\times 8}}\)

\(\mathsf{= \dfrac{172}{3}}\)

\(\mathsf{= 57\dfrac{1}{3}}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

18

Step-by-step explanation:

Plug in 3 for x

2(3)^2

2(3*3)

2*9

18

Answer:

The answer is 18

Step-by-step explanation:

2x², x = 3

Evaluate 3

2(3)²

2 × 9 = 18

Thus, The answer is 18

-TheUnknownScientist 72

Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer: 4 pounds is equal to 16 four-ounce (1/4 pound) increments.

To find the number of 3/4 pound bags Ann needs to buy, we can convert 16 four-ounce increments to three-fourth pound increments:

16 four-ounce increments = 16 x 4 = 64 ounces

64 ounces = 64/16 = 40 three-fourth pound increments

Therefore, Ann will need to buy 40 bags of walnuts, each weighing 3/4 of a pound.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Part A:

The two right-angle corners of the triangular bases are at either end of the same edge. This is only shown correctly in Net A.

__

Part B:

See the attached annotated diagram. Dimensions are in inches.

__

Part C:

The total surface area is the sum of the three central rectangles of the net and the two triangles. As shown in the attached, the two triangles can be considered as one rectangle of dimensions 3 in by 4 in.

The total area is ...

  Surface area = base area + face area

  = (3 in)(4 in) + (3 + 4 + 5 in)(7.2 in) = 12 in² +86.4 in²

  Surface area = 98.4 in²

A polynomial is considered rational if it can be written as a polynomial divided by a polynomial.

Any function that can be expressed as a rational fraction in mathematics—an algebraic fraction in which the numerator and denominator are both polynomials—is referred to as a rational function.

Here,

Given :f (x) = 4/x-3+2.

=> vertical asymptotes :

=> 4/x

and

horizontal asymptotes :

=> -1

The rational function is (x/y)where y≠ 0

So,

x≠0.

can be a rational function for them.

Oblique, vertical, and horizontal asymptotes are the three forms of asymptotes that make up the different types of rational functions. The maximum number of horizontal or oblique asymptotes for a rational function is one, although there can be multiple vertical asymptotes.

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Answer:  The correct answer is x=0 and y=4 or (0,4) per the graph

Step-by-step explanation:

To find the maximum value, we must test each point using the equation:

Check for (0,4):

C=3x+4y

C=3(0)+4(4)

C=16

Check for (2,2):

C=3(2)+4(2)

C=6+8

C=14

Check for (4,0):

C=3(4)+4(0)

C=12

Answer:

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

The pattern is an arithmetic sequence:

by the first three terms, the common difference is:

28-14=42-28=14

So the next pattern would be:

14+42=56

By the equation x = a + d ( n - 1 )

Substituting when n=1, x=14 and when n=2 x=28

a = 14 and d = 14

x = 14 + 14 ( n - 1 )

substituting n = 4

x = 14 + 14 ( 4 - 1 )

x = 56

28÷14=42-28=14+42=56

Answer:

it is 3/4

Step-by-step explanation:

I got it right no my test

Answer:

x = 3.4

Step-by-step explanation:

Step 1: Isolate x

0.5x = 1.7

Step 2: Divide both sides by 0.5

x = 3.4

And we have our final answer!

Answer: x=3.4

Step-by-step explanation:

\(0.5x+4.2=5.9\)

multiply both sides by 10

\(5x+42=59\)

subtract 42 on both sides

\(5x=17\)

divide 5 on both sides

\(x=\frac{17}{5}\) or

Simplify

x= 3.4

Answer:

  m∠A = 39°

  m∠B = 39°

  m∠C = 102°

Step-by-step explanation:

m∠A + m∠B + m∠C = 180°

x + x + (x + 63) = 180

3x + 63 = 180

3x = 117

x = 39°

m∠A = 39°

m∠B = 39°

m∠C = m∠A + 63 = 39 + 63 = 102°

Answer:

39 39 102

Step-by-step explanation:

The value of f(5) is positive

At f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, the values of x are [-2, 1]

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

The graph

On the graph, we have

f(5) = 1

This means that f(5) is positive

Also, we have

When f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, we have the values of x to be

-2 ≤ x ≤ 1

When represented as an interval, we have

[-2, 1]

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Answer:

the correct answer is

{2,3,6,7,14,21,}

Answer:

D: The interval becomes narrower if n = 28.

Step-by-step explanation:

D: The interval becomes narrower if n = 28.

The claim that is true regarding confidence interval would be:

D). The interval becomes narrower if n = 28.

Interval is described as the range in which the values fluctuate. This involves one initial or beginning value while the other is the end value and in between these two, the values range.

Given that,

Confidence interval = 95%(2.3, 3.7)

No. of data values = 24

In this case, the true statement about the effect of alteration in the size of the sample would be the interval becoming more concise/narrow in case n become 28 from 24.

Thus, option D is the correct answer.

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Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

The equation is P = 2 ( L + W )

The width of the field is 60 feet.

The length of the field is 600 feet.

Given,

A rectangular field is ten times as long as it is wide.

The perimeter of the field is 1320 feet.

Area of rectangle = Length x wide.

Perimeter = 2 ( Length + width )

Let the length of the rectangle be L

Width = W

L = 10W

Perimeter + 2 ( L + W )

1320 = 2 ( 10W + W )

Divide it by 2 into both sides.

1320/2 = 2/2 x 11W

660 = 11W

Divide both sides by 11.

660/11 = 11/11 W

60 = W

W = 60 feet

L = 10W = 10 X 60 = 600 feet

L = 600 feet

Thus,

The equation is P = 2 ( L + W )

The width of the field is 60 feet.

The length of the field is 600 feet.

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Answer:

Slope = 1, y-intercept = (0,7)

Step-by-step explanation:

Answer:

Width = x² + 5x - 4

Step-by-step explanation:

By the definition of an area model,

Area = Width × greatest common factor

Since, Area = 4x² + 20x - 16

And greatest common factor = 4

4x² + 20x - 16 = 4(Width)

By dividing both the sides of the equation by 4,

\(\frac{4x^2+20x-16}{4}=\frac{4(\text{Width})}{4}\)

x² + 5x - 4 = Width

Therefore, width = (x² + 5x - 4) will be he answer.

The coordinates of point Q and point R are; (5, -6) and (-5, 6) respectively.

From the coordinates of point P as given to be;

When the point P is reflected across the y axis to obtain point Q; the polarity of its x-ordinate changes;

When the point P is reflected across the x-axis to obtain point R; the polarity of its y-ordinate changes;

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