Find the measurement of PQ. Assume the drawings are not drawn to scale

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:

-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...

Step-by-step explanation:

[tex]8 ^{4} \times 3 {}^{2} [/tex]

Count how many of the same number, since you have four 8's the exponent will be

[tex]8 {}^{4} [/tex]

same applies for 3

Answer:  [tex]8^4 \times 3^2[/tex]

On a keyboard, you can type 8^4*3^2 to indicate the same thing.

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Explanation:

There are four copies of 8 being multiplied. Writing [tex]8^4[/tex] is a shorthand way of saying [tex]8 \times 8 \times 8 \times 8[/tex]. The exponent tells us how many copies of the base to multiply out.

Similarly, we have two copies of 3 which means [tex]3 \times 3 = 3^2[/tex]

Answer:

y = 0.5x + b, b ∈ ℜ - {12}

Step-by-step explanation:

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:

y = x + 2

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:

x=2 y=3

Step-by-step explanation:

3x=6

2y=6

x=2

y=3

Answer:

22000 meters

Step-by-step explanation:

Step-by-step explanation:

1km = 1000m

22km×1000

22000

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:

-4

Step-by-step explanation:

I hope this helps!

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:

In algebra, we begin to see variables or letters that are used to represent numbers. An example of a mathematical expression with a variable is 2x + 3. In the expression 2x + 3, the coefficient of x is number 2, and it means 2 times x plus 3.

Answer:

220 should be the answer.

Step-by-step explanation:

Answer:96

Step-by-step explanation:

Answer:

the answer is 97

Step-by-step explanation:

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:

$7.69

Step-by-step explanation:

2.48+2.48+2.48= $7.44

then add 0.25 which is

$7.69

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:

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:

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:

62.5% , and a decrease

Step-by-step explanation:

random characters ahagahsvxkxnd

Answer:

Approximately 95

Step-by-step explanation:

19 x 5 = 95

Answer:

4

Step-by-step explanation:

You can multiply 1/3 by 4 to equal 12 giving you your answer

Answer:

Step-by-step explanation:

4  pencils were broken

1/3 * 12 is 4

Answer:

$400

Step-by-step explanation:

12*20=240

8*20=160

240+160= 400

Answer:

81 sq. inches

Step-by-step explanation:

Since they are asking for the scale of her drawing,

you have to divide the actual area of the house

by the area of the house on a scale drawing.

You only divide if they ask for the scale of the

drawing.

also

You only multiply if they ask for the scale of the

actual model.

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.