Determine if each expression is equivalent to
6 3
7 / 7
Choose Yes or No for each expression.
a. (7)(7 9
[Yes [No
b. 75 + 711
Yes No
c. (75)(7) 74
[Yes No
d. 7 " X 7
Yes No
Yes No

slope = -1/2

y-intercept = (0, -1)

Given:

To find:

the slope and the y-intercept

To determine the slope we will use the linear function formula:

We need to rewrite the given equation in the form above so as to get the slope

From the above, m = -1/2

Hence, the slope is -1/2

The y-intercept is the value of y when x = 0

To get the y-intercept, we will substitute x with 0:

The passengers selected for the in-flight survey in this scenario can be best referred to as a stratified random sample.

In stratified random sampling, the population is divided into smaller, non-overlapping groups, called strata, which share similar characteristics. In this case, the strata are the 40 flights selected by Northwest Airlines. From each of these strata, a random sample of passengers is chosen, which in this case, is a group of ten passengers from each flight.

This method ensures that each flight's passengers are represented in the survey, allowing for better generalizability of the results. By selecting passengers randomly within each stratum, the survey helps minimize selection bias and ensures that the sample reflects the diversity of the overall population of passengers. The stratified random sampling approach is especially useful when studying a large and diverse population, as it provides a more accurate representation of the population's characteristics compared to simple random sampling.

In summary, the passengers participating in the in-flight survey are best referred to as a stratified random sample because they are chosen from 40 randomly selected flights, with ten passengers randomly selected within each flight. This sampling approach ensures better representation of the overall population and helps minimize selection bias in the survey results.

To know more about stratified random sampling, refer here:

https://brainly.com/question/29852583

#SPJ11

Answer:

x = 12 and y = 60°

Step-by-step explanation:

As we can see it is parallelogram as the opposite sides are parallel

so,

y = 60° {opposite angles of a parallelogram are equal }

x + 3 = 15 (opposite sides of a parallelogram are equal)

x = 15 - 3

x = 12

Hope it will help :)❤

Answer:

you forgot the picture

Step-by-step explanation:

Answer: -53, 53

Step-by-step explanation:

It’s asking for the slope first, so let’s find it:

First, let’s determine our coordinates.

We have (1, 930) and (6, 655).

The slope equation is \(\frac{y_1 - y_2}{x_1 - x_2}\), so let our (1, 930) be our x_1 and y_1, and (6, 655) be our x_2 and y_2.

So, we have,

= \(\frac{655-930}{6-1}\)

This simplifies to

= \(\frac{-265}{5}\)

which is -53.

Therefore, the slope is -53, so the balance decrease by $53 each month.

Answer:

y = 3 x - 4

Step-by-step explanation:

\(4y ^{2} = 49 \\ = > {y}^{2} = \frac{49}{4} \\ = > {y} = \sqrt{ \frac{49}{4} } \\ = > y = \frac{ \sqrt{49} }{ \sqrt{4} } \\ = > y = \frac{7}{2} \\ = > y = 3.5\)

y = 3.5

If two chords in a circle are congruent, then they are the same distance from the center of the circle. Then the correct option is B.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The central angle is double the angle at the periphery that was subtended by the same chords.

Both the extreme points of the chords are connected to the circle. Then the two triangles are formed whose two sides are the radius of the circle that is congruent to each other. Then the triangle will be an isosceles triangle.

And the chord length is also congruent. Then the triangles are congruent to each other by SSS postulates.

If two chords in a circle are congruent, then they are the same distance from the center of the circle. Then the correct option is B.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ5

Answer:

37c

Step-by-step explanation:

6c+(7c+7c)+8c+9c

6c+14c+(8c+9c)

6c+(14c+17c)

6c+31c

37c

Answer:

Step-by-step explanation:

The equation of the line that passes through the points (3, 6) and (-1, -4) can be found using the point-slope formula.

First, find the slope of the line using the formula:

slope = (y2 - y1)/(x2 - x1)

where (x1, y1) = (3, 6) and (x2, y2) = (-1, -4).

slope = (-4 - 6)/(-1 - 3) = -10/-4 = 5/2

Now that we have the slope, we can use it in the point-slope formula:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is either one of the given points. Let's use (3, 6):

y - 6 = (5/2)(x - 3)

Simplifying this equation, we get:

y - 6 = (5/2)x - 15/2

y = (5/2)x - 3/2

Therefore, the equation of the line that passes through the points (3, 6) and (-1, -4) is y = (5/2)x - 3/2.

Answer:

5/2

Step-by-step explanation:

Slope = change in y coordinate/change in x coordinate.

In this example, Slope = \(\frac{-4 - 6}{-1 - 3} = \frac{-10}{-4} = \frac{10}{4} =\frac{5}{2}\)

Your slope is 5/2.

Answer:

3500 g

Step-by-step explanation:

→ Convert  \(3\frac{1}{2}\)  into decimal

3.5 kg

→ Multiply answer by 1000

3.5 × 1000 = 3500 g

Answer:

36

Step-by-step explanation:

The area of a regular heptagon is obtained by multiplying the apothem length by the perimeter of the heptagon and then dividing the result by two.

We can use the formula to calculate the area of the heptagon as follows: Area of heptagon=1/2×apothem×perimeter. Substitute the given values into the formula: Area of heptagon=1/2×4.2 ft×(7×4.0 ft)≈58.4 sq ft. Therefore, the area of the heptagon is approximately 58.4 square feet.

The area of a regular heptagon is obtained by multiplying the apothem length by the perimeter of the heptagon and then dividing the result by two. In the given problem, we have a regular heptagon with a side of approximately 4.0 feet and an apothem of approximately 4.2 feet. We can use the formula to calculate the area of the heptagon as follows:Area of heptagon=1/2×apothem×perimeterThe perimeter of a regular heptagon is obtained by multiplying the length of one side by the number of sides. Since we know that the side of the heptagon is approximately 4.0 feet, we can use this value to find the perimeter:Perimeter of heptagon=7×4.0 ft=28.0 ftSubstitute the given values into the formula:Area of heptagon=1/2×4.2 ft×(7×4.0 ft)≈58.4 sq ftTherefore, the area of the heptagon is approximately 58.4 square feet.

Therefore, the area of the heptagon is approximately 58.4 square feet.

To know more about apothem length :

brainly.com/question/30380512

#SPJ11

Step-by-step explanation:

3 meters = 300 cm

anyway, the ratio tells us that the whole ribbon can be seen as the combination of 3 + 2 = 5 equally long parts.

one such part is then

3 m / 5 = 0.6 m or 60 cm

the shorter piece is 2 of these parts long :

2 × 0.6 = 1.2 m or 120 cm

Answer:

2√3

Step-by-step explanation:

To rationalize, we multiply the denominator and numerator by the surd at the base

We have it that;

6/√3 * 1

= 6/√3 * √3/√3

= 6 √3/3 = 2√(3

The arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

In mathematics, an expression or mathematical expression is a combination of terms both variables and constants. For example -

2x + 4y + 5z

4y + 2x

Given are the expressions as given in the questions.

{a} -

5 - 9 = - 4

{b} -

8 - 8 = 0

{c} -

- 1 + 12 = 11

{d} -

- 12 + 12 = 0

{e} -

- 2 + 4 + 3

5

{f} -

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

Therefore, the arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

To solve more questions on arithmetic operations, visit the link below

https://brainly.com/question/20562711

#SPJ9

{Complete question -

Calculate the following:

a) 5-9

b) 8-8

c) -1 + 12

d) -12 + 12

e) -2 +4+3

f) -4-3+2-1}

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

for such more question on lengths

https://brainly.com/question/24176380

#SPJ8

The required order will be;

⇒ -2 1/4, -11/4, 3/4, |1 1/4|, |-1 3/4|, |-2 1/4|

The numbers arrange in order to least to greatest number is called Ascending order.

Given that;

The given order is:

⇒ -2 1/4, |-1 3/4|, -11/4 , 3/4, |-2 1/4|, |1 1/4|

Now,

We know that, modulus make every number positive.

We converting mixed fraction into simple fraction as;

⇒ -9/4, 7/4, -5/4 , 3/4, 9/4, 5/4

After arranging it into ascending order, we get;

⇒ -9/4 , - 5/4, 3/4, 5/4, 7/4, 9/4

Therefore, The ascending order is,

⇒ -2 1/4, -11/4, 3/4, |1 1/4|, |-1 3/4|, |-2 1/4|

Learn more about the ascending order visit:

https://brainly.com/question/1094377

#SPJ1

Answer:

h = (S - 2nr) / 2nr

Step-by-step explanation:

S = 2nr + 2nrh

2nrh = S - 2nr

h = (S - 2nr) / 2nr

Two binomials could represent the length and width of the rectangle are  (x + 12) and (x - 2)

To find the binomials that could represent the length and width of the rectangle, we need to factor the expression x^2 + 10x - 24.

We are given the expression x^2 + 10x - 24, which represents the area of a rectangle. To find the length and width of the rectangle, we need to factor this expression.

To factor the expression, we look for two binomials that, when multiplied together, give us the original expression.

We start by looking for two numbers whose product is -24 (the constant term) and whose sum is 10 (the coefficient of the x-term).

The numbers that satisfy these conditions are 12 and -2. Therefore, we can write the expression as (x + 12)(x - 2).

This means that the length of the rectangle is represented by (x + 12) and the width is represented by (x - 2).

By factoring the expression, we can see the relationship between the length and width of the rectangle and determine that (x + 12) and (x - 2) are the binomials that represent them.

To learn more about the rectangle visit:

brainly.com/question/25292087

#SPJ11

Answer:

B

Step-by-step explanation:

x² - 4x - 7 = 0

(x - 2)² = 11

Answer:

The highest common factor of 70 and 126 is 14.

Step-by-step explanation:

Answer:

Step-by-step explanation:

tn = a + (n-1)*d

t28 = 4 +   (27)*-2     27 because 27 = 28 - 1

t28  = 4 + - 54

t28 = 4 - 54

t28 = - 50      

Answer:

\(\frac{5x-3}{4}\)

Step-by-step explanation:

\(x=\frac{4y+3}{5} \\ 5x=4y+3\\ 5x-3=4y\\ \frac{5x-3}{4} =y\)

The expression that equals the area of the poster in square metres would be = 1 + 5 hundredths. That is option A.

A square is defined as a quadrilateral that has four equal sides and edges of angle 90°.

From the given image, the painted area and the five painted boxes of the unpainted area is a wall poster.

The total number of boxes = 100

The painted boxes that represent the wall poster = 5

The total area of the wall poster = 1 + 5/100.

Learn more about square here:

https://brainly.com/question/25092270

#SPJ1

The net amount of imports is RM 175 million of GDP of Country A. Option  C is the correct answer.

The total amount of money spent during a specific time period by firms, consumers, and the government may be used to compute GDP.

Calculation:

GDP = personal consumption + gross investment + govt consumption + net exports + imports

Therefore, Import = 175

Here the total amount of imports is RM 175 million. Therefore, Option  C is the correct answer.

Learn more about GDP here:

https://brainly.com/question/1383956

#SPJ4

The complete question is, "The information below contains information on Country A.

                                                  RM(in millions)

Gross Domestic Product              1250

Consumer Spending                    500

Investment Spending                   350

Govt Spending                              350

Export                                             225

What is the amount of imports?

A. RM 800 million

B. RM 135 million

C. RM 175 million

D. RM 575 million"

Answer:

x = 1

Step-by-step explanation:

When there is an equation in absolute form like this |3x - 2| that means that there are no negative numbers or subtraction signs. Instead, such things are reversed, so the simplified equation is

3x + 2 = 5

So then we proceed as normal

3(1) + 2 = 5

3 + 2 = 5

5 = 5

Answer:

It's -3 :)

Step-by-step explanation:

g(x) = 1 and f(x) = -3 and to find k you need to do f(x)/g(x). Therefore, -3/1 = -3. Hope this helped!

Answer:

The first one, 60,000+60

Step-by-step explanation: