show that any positive odd integers is of the form 4q+1 or 4q+3, where q is some integers.​

Answer: 0ft < X ≤ 5.73ft

Step-by-step explanation:

In this case, we have a rectangle.

For a rectangle of length L and width W, the area is:

A = L*W.

And we have:

L = X

W = X  + 3ft.

Then the area will be:

A = X*(X + 3ft) = X^2 + 3ft*X.

And we want to have a maximum area of 50ft^2.

Then we can write:

A = X^2 + 3ft*X ≤ 50ft^2

Now let's solve this for X.

Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.

Then makes sense start for the upper limit of X, this is when:

X^2 + 3ft*X = 50ft^2.

Now we can solve the quadratic equation:

X^2 + 3ft*X - 50ft^2 = 0

Applying the Bhaskara formula, the solutions are:

[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]

Then we have two solutions:

X = (-3ft - 14.46ft)/2 = -8.73 ft.

X = (-3ft + 14.46ft)/2 = 5.73 ft

Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.

This is the maximum value of X, and we will have:

0ft < X ≤ 5.73ft

Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.

Answer:

2 groups

Step-by-step explanation

To find out how many groups can be made for 6 circles and 8 squares, start by finding what you can divide by both numbers.

                 6 can be divided by:                               8 can be divided by:

                                 1                                                                  1

                                 2                                                                 2

                                  3                                                                 4

                                  6                                                                 8

The greatest number that they both have in common is 2. There would be 3 circles and 4 squares if Bill divided into 2 groups.

I hope this helped. Let me know if you still have any questions!

Answer:

x=2 y=3

Step-by-step explanation:

3x=6

2y=6

x=2

y=3

Answer:

y = 0.5x + b, b ∈ ℜ - {12}

Step-by-step explanation:

Answer:

Division property of equality

Step-by-step explanation:

Consider the equation and its solution. 8 (x minus 2) = 64.

8 x minus 16 = 64.

8 x = 80.

x = 10.

Which property is used in the last step to find that x = 10

The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY

The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another

Let c be the integer greater than zero

ac = bc

Divide both sides by c

a = b

From the above question

8 x = 80

This is also written as:

8x = 8 × 10

Division property of equality

Divide both sides by 8

Hence,

x = 10

Answer:

division property of equality

Step-by-step explanation:

since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.

Answer:

-8.72811548...   i think

Step-by-step explanation:

a² + b² = c²

8.3² + 2.7² = c²

68.89 + 7.29 = c²

76.18 = c²

√76.18, -√76.18 = c

c = 8.72811548…, −8.72811548…

I think because it's depression, it's -8.72811548...

Answer:

The correct option is;

The distribution curve is skewed to the right

Step-by-step explanation:

The given parameters are;

The mean = 58

The outlier = 92

Given that the outlier, P, can be found from the following formula, we have;

P > Q₃ + 1.5·IQR = (Q₃ + 1.5 (Q₃ - Q₁)

92 > (Q₃ + 1.5 (Q₃ - Q₁)

Given that mean = 58

Therefore, the IQR, and Q₃ are relatively small compared to the outlier, and the data is skewed, with the more smaller numbers than there are large numbers which makes the distribution curve to be skewed to the right.

Answer:

$400

Step-by-step explanation:

12*20=240

8*20=160

240+160= 400

9514 1404 393

Answer:

  3

Step-by-step explanation:

The radicals get in the way a bit, so we can define ...

  x = √p

  y = √q

Then the equation is ...

  (x +y)/(1-x) = (4x+y)/(1-x^2)

Multiplying by (1-x^2), we have ...

  (x +y)(1 +x) = 4x +y . . . . . . using 1-x^2 = (1-x)(1+x) the 1-x factor cancels

  x^2 +xy +x +y = 4x +y . . . eliminate parentheses

  x(x +y) = 3x . . . . . . . subtract (x+y)

  x +y = 3 . . . . . . . . . . divide by x

This is the sum we're looking for:

  √p +√q = 3

Answer: The answer is 3

Step-by-step explanation:

Answer:

Answers in step step-by-step explanation.

Step-by-step explanation:

1. 7

2. 0.3

3. 3

4. x = 50 degree

5. 15 (Sorry I accidentally made the answer to five the answer to six, 15 is the right answer)

6.  10.408125

7. 240

8. -29

9. I think 1/4 but double-check.

10. $5.4

Answer:

Approximately 95

Step-by-step explanation:

19 x 5 = 95

Step-by-step explanation:

I just eyeballed it.

The Axis of Symmetry for [tex]h(x)[/tex] is the vertical line, [tex]x = 3[/tex].

Answer:

-4

Step-by-step explanation:

I hope this helps!

Answer:

Point C

Step-by-step explanation:

Unit rate is always how much it is for 1 and point C has a 1 in it's coordinate pair. It isn't point B because point B is not graphed on the line.

Answer:

C.

Step-by-step explanation:

Answer:

y = x + 2

Step-by-step explanation:

Answer:

6 feet

Step-by-step explanation:

240 feet : 10 inches

24 feet    : 1 inch

? feet       : 1/4 inch

to get from 1 to a 1/4 you divide by 4, so you do 24 ÷ 4

24 ÷ 4 = 6

Answer:

6 ft

Step-by-step explanation:

First, make this visually understandable using a ratio:

240 ft = x ft

10 in     [tex]\frac{1}{4}[/tex] in

To find the change between the inches,

1/4 ÷ 10 = 0.025

Use this same amount to find x ft:

240 (0.025) = 6

x = 6 ft

To double-check:

240/10 = 24

6/0.25 = 24

☺

Answer:

220 should be the answer.

Step-by-step explanation:

Answer:

C.

That is the closest answer since 8 times 10 6 times gets you 8 million.

Step-by-step explanation:

Answer:

C. 8×10⁶

Step-by-step explanation:

8,406,000 to nearest million is 8,000,000

8,406,000 = 8.406 × 10⁶

8,000,000 = 8 × 10⁶

Answer:

12⁴ × 9³ x 4 = 60,466,176

6³ × 8² × 27 = 373,248

Step-by-step explanation:

You could use the expanded form to calculate the answer

12⁴ = 20,736

9³ = 729

4 = 4

20,736 × 729 × 4 = 60,466,176

6³ x 8² x 27​

6³ = 216

8² = 64

27 = 27

216 × 64 × 27 = 373,248

Answer:

Kathy would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.

Step-by-step explanation:

Kathy ran the 400-meter dash in 60.48 seconds, so if she now divided that time into 8 equal time segments we have:

[tex] t = 60.48 s [/tex]

By dividing the above equation into 8:

[tex] t = \frac{60.48 s}{8} = 7.56 s [/tex]

Hence, she would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.

I hope it helps you!

Answer:96

Step-by-step explanation:

Answer:

the answer is 97

Step-by-step explanation:

Answer:

slope=-2

y intercept= 7

Step-by-step explanation:

Equation of a line:

y=mx+c

where

m=slope of the line, and

c=y intercept

Comparing y=-2x+7 with y=mx+c,

m=-2

y intercept=7

Hope it helps:)

Answer:

$7.69

Step-by-step explanation:

2.48+2.48+2.48= $7.44

then add 0.25 which is

$7.69

Answer:

22000 meters

Step-by-step explanation:

Step-by-step explanation:

1km = 1000m

22km×1000

22000

Answer:

62.5% , and a decrease

Step-by-step explanation:

random characters ahagahsvxkxnd