If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p
when q is equal to 5.

Answer:

e

Step-by-step explanation:

Answer:

Answer is in the step by step explanation

Step-by-step explanation:

Since we are given parallel lines, we know <BCA is congruent to <DAC because of alternate interior angles

Then AC is congruent to AC, that's reflexive prop

Now we have SAS, so Tri. ABC cong to tri. CDA,

Then you're done

Answer:

Step-by-step explanation:

BC = AD                           Given

<BCA = <CAD                  Alternate interior angles of parallel lines cut by a transversal.

AC = AC                           That's the reflexive property. A line is equal to itself

Triangle BCA = Triangle CAD    SAS

Notice that the angle is included inside the two lines that define it (the angle). That's a very important consideration when using SAS. SAA doesn't always work. You can draw exceptions. SAS has no exceptions. It always works.

Answer:

line and point

hope it's correct..

The constant of proportionality of the proportional relationship between the number of wagon loads, x and the number of bales of hay Dwayne can haul, y, is given as follows:

4.

The standard definition of a proportional relationship is given as follows:

y = kx.

Hence the solution for the constant is given as follows:

k = y/x.

As the table represents a proportional relationship, the constant can be calculated from any pair, hence:

k = 20/5 = 4.

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Step-by-step explanation:

[tex]S _{n} = \frac{n}{2} (2a + (n - 1)d) \\ S _{14} = \frac{14}{2} ((2 \times 101) + (14 - 1) \times -3) \\ =1,141[/tex]

Answer:

Step-by-step explanation:

When you are taking off percentages from numbers, you first want to make the percent a number. This step is super simple. Just divide the 18 by 100

This gets you 0.18

Now multiply

84 * 0.18 = 15.12

So 15.12 is the discount

Then take 84 and subtract 15.12

84 - 15.12 = 68.88

So 68.88 is the sell price

Answer:

1/3

Step-by-step explanation:

7/21 = 1/3

This is because 21 & 7 are both multiples of 7. 7 / 7 = 1. 21 / 7 = 3.

That makes it 1/3.

Hope that helps! :)

Answer:1/3

Step-by-step explanation:to simplify, divide both numerator and denominator by 7

7/7=1 and 21/7=3

Answer:

3. 5cm

[tex]4. \: {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Step-by-step explanation:

3. the hypotenuse C squared = side A squared + side B squared. So 3 × 3=9 and 4 × 4 =16 therefore 9 + 16 =25 and the square root of 25 = 5.

4. In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Answer: The leading coefficient indicates that the graph of the parabola that represents the ball’s height over time will open in an upward direction

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

To find the range, first put all the numbers in order. Then subtract the lowest number from the highest.

Hope this helps!If you have any questions revolving around this topic,feel free to ask me and I will be happy to help,Good luck!

Answer:

We know that

6 × 3 = 2 × x

18 = 2x

x = 9

Answer:

a) The basic rate of pay is 6 sterling pounds per hour.

b) The higher rate of pay is 10 sterling pounds per hour.

Step-by-step explanation:

Both segments of the curve are first order polynomials, which means that each have constant slopes.

a) The basic rate of pay is the value of the slope ([tex]r[/tex]), in sterling pounds per hour, of the line for the first 20 hours worked, that is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex] (1)

Where:

[tex]\Delta x[/tex] - Change in hours worked, in hours.

[tex]\Delta y[/tex] - Change in pay, in sterling pounds.

If we know that [tex]\Delta x = 20\,h[/tex] and [tex]\Delta y = \pounds\, 120[/tex], then the basic rate is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex]

[tex]r = \frac{\pounds\,120}{20\,h}[/tex]

[tex]r = 6\,\frac{\pounds}{h}[/tex]

The basic rate of pay is 6 sterling pounds per hour.

b) By using (1), we calculate the higher rate of pay below. If we know that [tex]\Delta x = 10\,h[/tex] and [tex]\Delta y = \pounds \,100[/tex], then the higher rate is:

[tex]r = \frac{\Delta y}{\Delta x}[/tex]

[tex]r = \frac{\pounds\,100}{10\,h}[/tex]

[tex]r = 10\,\frac{\pounds}{h}[/tex]

The higher rate of pay is 10 sterling pounds per hour.

Find the surface area of the sphere in terms of π 7 yd.

We know,

[tex] \dag [/tex] Formula of Surface area of the sphere is 4πr².

Radius (r) = 7 yd (Given)

Now,

Surface area of the sphere = 4 × π × (7)²

Surface area of the sphere = 4 × π × 7 × 7

Surface area of the sphere = 196π sq. yd.

Answer:

V = 23 cm 3

Step-by-step explanation:

Answer:

I'd do (-4-7i)-(4-5i)=-8-2i

Answer:

2,3,5,6,9,10

Step-by-step explanation:

Answer:

FG

Step-by-step explanation:

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The function f(x) = x - 4 and g(x) = x + 4 and the function f(x) = -3/x and g(x) = 3/x are not inverse of each other.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

For each pair of functions F and G below, find f(g(x)) and g(f(x)).

a)  f(x) = x - 4 and g(x) = x + 4

Then f(g(x)) will be

[tex]\rm f(g(x)) = x[/tex]

Then g(f(x)) will be

[tex]\rm g(f(x)) = x[/tex]

The functions f and g  are not inverse of each other.

b) f(x) = -3/x and g(x) = 3/x

Then f(g(x)) will be

[tex]\rm f(g(x)) =- x[/tex]

Then g(f(x)) will be

[tex]\rm g(f(x)) = -x[/tex]

The functions f and g  are not inverse of each other.

More about the function link is given below.

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Answer:

solution given:

height [h]=7ft

side 1=7ft

side2=8ft

it is trapezium

so

area of trapezium=[tex] \frac{1}{2} 7(7 + 8)[/tex]

=52.5ft²

Answer:

625/100,000,000 or 6.25 out of one million

Step-by-step explanation:

(0.005)^4 = .000000000625  =  625/100,000,000

The probability that all four computers fail on one day is =6.3*[tex]10^{-10}[/tex].

It is a branch of mathematics that deals with the occurrence of a random event.

The probability that a computer fails on any single day is 0.005.

Let X denotes no. of computers fail on day

So, n = 4 , p = 0.05, q= 1-0.05=0.995

P (X = x) = [tex]^{n} C_x \;p^{x} \;q^{n-x}[/tex]

P (X = 4)

= [tex]^{4} C_4 \;(0.005)^{4} \;(0.995)^{4-4}[/tex]

=1* 0.00000000063*1

=0.00000000063

=6.3*[tex]10^{-10}[/tex]

Hence, the probability that all four computers fail on one day is

=6.3*[tex]10^{-10}[/tex].

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Answer:

What are you even asking?

Answer:

The answer is 10

Answer:

Im pretty sure its 130%

Step-by-step explanation:

Answer: Betsy is incorrect.

Step-by-step explanation:

The area of a trapezoid is a+b/2 multiplied by h.

First, we should do 5+8/2= 6.5

Next, we multiply 6.5 with 4 because 4 is the height of the trapezoid.

6.5 times 4= 26

Betsy thought the answer was 52, but it is 26 so she is incorrect.\

I hope this helps, may god bless you! :)

Answer: 45%

Step-by-step explanation:

Answer:

the answer is 40 because you count all the squares that are in the shape

Step-by-step explanation:

Answer:

you eat 1 chip

Step-by-step explanation:

eat 1 chip and you get 31 oz

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

Probability deals with finding out the likelihood of the occurrence of an event.

It measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events.

The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.

Given

Set of integers = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20

The probability of selecting a number that is divisible by 7 :

We all know the 7 multiples less than 20 : 7, 14

There are 2 numbers that are divisible by 7 in the set of integers 1 - 20

Therefore, Number of favorable outcomes n(E) = 2

Total number favorable outcomes n(S) = 20

Probability is the ratio of number of favorable outcomes to total number of favorable outcomes.

[tex]P(E) = \frac{n(E)}{n(S)}[/tex]

[tex]P(E) = \frac{2}{20} =\frac{1}{10}[/tex]

Hence,

The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].

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Answer:

A) 6

Step-by-step explanation:

Answer:

2. A) 6

Step-by-step explanation:

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