If pis inversely proportional to the square of q, and p is 23 when q is 4, determine p
when q is equal to 2.

Answer:

6 m

Step-by-step explanation:

The diagrammatic illustration of the problem. Is attached

The diaabcw between Aaron and Jessica can be obtained using Pythagoras :

d = √(10² - 8²)

d = √100 - 64

d = √36

d = 6

Answer:

456,796 passwords

Step-by-step explanation:

Because any letter can be repeated for the 4-letter password, there are 26 possible letters for the first letter of the password, 26 possible letters for the second letter of the password, 26 possible letters for the third letter of the password, and 26 possible letters for the fourth letter of the password. Therefore, the possible number of passwords that can be created is 26*26*26*26 = 26^4 = 456,796 passwords

Answer:

0.15

Step-by-step explanation:

Answer:

use table B

Step-by-step explanation:

the perimeter of table A =

2×(96+42) = 2× 138 = 276 inches

the perimeter of table B =

2×3.14×45 = 282.6 inches

table B > table A

Answer:

t=9/10 Hope that helped

Answer:

16P5

Step-by-step explanation:

16*15*14*13*12

Answer:

The 98% confidence interval for the mean of the population is (59, 68.2).

Step-by-step explanation:

Before building the confidence interval, we need to find the sample mean and the sample standard deviation.

Sample mean:

[tex]\overline{x} = \frac{55+64+58+61+69+64+59+69+72+65}{10} = 63.6[/tex]

Sample standard deviation:

[tex]s = \sqrt{\frac{(55-63.6)^2+(64-63.6)^2+(58-63.6)^2+(61-63.6)^2+(69-63.6)^2+(64-63.6)^2+(59-63.6)^2+(69-63.6)^2+(72-63.6)^2+(65-63.6)^2}{10}} = 5.142[/tex]

Confidence interval:

We have the standard deviation for the sample, and thus, we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.821

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.821\frac{5.142}{\sqrt{10}} = 4.6[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 63.6 - 4.6 = 59

The upper end of the interval is the sample mean added to M. So it is 63.6 + 4.6 = 68.2.

The 98% confidence interval for the mean of the population is (59, 68.2).

Answer:

D

Step-by-step explanation:

Answer:

D

hope this helps

Answer:

31.4

Step-by-step explanation:

C = 2 x 3.14 x 5

C = 10 x 3.14

C = 31.4

Answer:

[tex]\frac{21}{25} -\frac{22}{25} i[/tex]

Step-by-step explanation:

We can start by writing the division as a fraction:

[tex]\frac{6-i}{4+3i}[/tex]

In order to rationalize the denominator, we need to multiply by the conjugate:

[tex]\frac{6-i}{4+3i} *\frac{4-3i}{4-3i}\\\\\frac{(6-i)(4-3i)}{4^2-(3i)^2}\\\\\frac{24-18i-4i+3i^2}{16+9}\\\\\frac{24-22i-3}{25}\\\\\frac{21-22i}{25} \\\\\frac{21}{25} -\frac{22}{25} i[/tex]

Answer and Step-by-step explanation:

First, solve for the angle TRS, so that we can find the missing angle.

Subtract the two angles from 180 (because all triangle's angles add up to 180).

180 - 58 - 60 = 62.

By the vertical angles theorem, 62 is equal to the missing angle.

#teamtrees #PAW (Plant And Water)

Answer:

Break even unit = 800

Break even point = $320,000

Step-by-step explanation:

Given:

Amount invested (Fixed cost) = $200,000

Each software cost (variable cost) = $150

Selling price = $400

Find:

Break even unit

Computation:

Assume;

Break even unit = a

Total Cost = Amount invested (Fixed cost) + [Each software cost][Break even unit]

Total cost = 200,000 + 150a

Total revenue = Selling price[Break even unit]

Total revenue = 400a

So,

400a = 200,000 + 150a

250a = 200,000

Break even unit = 800

Break even point = 400a

Break even point = 400(800)

Break even point = $320,000

9514 1404 393

Answer:

  B) 171 units^2

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2(b1 +b2)h

Filling in the given base and height values, we find the area to be ...

  A = 1/2(23 +15)(9) = (19)(9) = 171 . . . square units

_____

Additional comment

You can select the correct answer choice simply on the basis of "reasonableness." If this were a 9×15 rectangle, its area would be 9×15 = 135 square units, more than 85.5. You know its area is less than a 9×23 rectangle, so is less than 9×23 = 207 square units. Only one answer choice is a value between 135 and 207.

__

Multiplication by 9 is not so hard. It is multiplication by 10-1:

  15×9 = 15×(10 -1) = 150 -15 = 135

Answer:

510

Step-by-step explanation:

17% of 3000 would be 17 in 30 hundreds, think about it that way

Answer:

2 times

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

8 x 4 = 32 total coins

32÷8 = 4

Therefore, there are 4 times as many coins as people.

Hope this helps! :)

Answer:

Step-by-step explanation:

Multiply the two top numbers together. Then record the first digit of the answer.

5*4 =20              Record 2

9*8 = 81              Record 8

3*6 =18               Record 1

7*5 = 35             Record 3

Answer:

the answer is one hundred and eight 108

Step-by-step explanation:

108 bro trust me

Answer:

D. 144

Step-by-step explanation:

Find volume of shipping container:

2 2/3 = 8/3

2 x 1 = 2

8/3 x 2/1 = 16/3

Find volume of cube:

1/3 x 1/3 = 1/9 x 1/3 = 1/27

Find how many boxes fit in container:

16/3 ÷ 1/27

16/3 x 27/1

Simplify:

16/1 x 9/1 = 144/1

Answer: 144

Answer:

Step-by-step explanation:

Ax+By=C

Ax=C-By

x=C-By/A

Answer:

The bird will be at a ground distance of 10.04 units away.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Equation for the height:

The height of the bird after x seconds is given by:

[tex]h(x) = -0.114x^2 + 2.29x + 3.5[/tex]

Which is a quadratic equation with [tex]a = -0.114, b = 2.29, c = 3.5[/tex].

When the bird is at its highest?

Quadratic equation with [tex]a < 0[/tex], and thus, at the vertex. The ground distance is the x-value of the vertex. Thus

[tex]x_{v} = -\frac{b}{2a} = -\frac{2.29}{2(-0.114)} = 10.04[/tex]

The bird will be at a ground distance of 10.04 units away.

Answer:

You FAILED to include any choices.

Step-by-step explanation:

Answer:

-53

Step-by-step explanation:

You start off with the g of x equation

then you substitute -5 for the x value

after you solve that, you should get g of  x = 23

then you take the f of x equation and plug 23 in for x

then you simplify that and you should end up with an answer of -53

Step-by-step explanation:

i just need points so i can ask my questions

Answer:

the common difference is 10

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (2, 3 ) → A' (- 2, 3 )

B (4, 5 ) → B' (- 4, 5 )

C (6, 2 ) → C' (- 6, 2 )

Answer:

2 bicycles

Step-by-step explanation:

as there were 5 bicycles and tricycles

now,

total no.of wheels = 16

2x + 3(6 - x) = 16

2x + 18 - 3x= 16

2 - x = 0

2 = x

therefore, there are 2 bicycles.

Answer:

x= -1/7

Step-by-step explanation:

Answer:

its -4.5??? what is the question you're asking

9514 1404 393

Answer:

  no

Step-by-step explanation:

Triangle ABC has angle measures ...

Triangle DEF has angle measures ...

Using the angle measures in the order 18, 110, 52, we can write the similarity statement as ...

  ΔABC ~ ΔEFD

The similarity statement given in the problem is incorrect. ΔABC is not similar to ΔDEF.