Solving the following system using any method.

−3x+y=5

−2y=−6x+10

Answer:

[tex]p\ =\ 92[/tex]

Step-by-step explanation:

Given

[tex]p\ \alpha\ \frac{1}{q^2}[/tex]

[tex]p =23; q=4[/tex]

Required

Find p, when [tex]q = 2[/tex]

We have:

[tex]p\ \alpha\ \frac{1}{q^2}[/tex]

Express as equation

[tex]p\ =\ \frac{k}{q^2}[/tex]

Make k the subject

[tex]k =pq^2[/tex]

When: [tex]p =23; q=4[/tex]

[tex]k =23 * 4^2[/tex]

[tex]k =368[/tex]

When [tex]q = 2[/tex], we have:

[tex]p\ =\ \frac{k}{q^2}[/tex]

[tex]p\ =\ \frac{368}{2^2}[/tex]

[tex]p\ =\ \frac{368}{4}[/tex]

[tex]p\ =\ 92[/tex]

1. Radius = 32/2 = 16 inches

Diameter = 32 inches

Circumference = 3.14 × 32 = 100.48 inches

Area = 3.14 × 256 = 803.84 inches

2. Radius :- 40 / 2 = 20 inches

Diameter = 40 inches

Circumference = 3.14 × 40 = 125.6 inches

Area = 3.14 × 20 × 20 = 1256 inches

3. Radius = 28 / 2 = 14 inches

Diameter = 28 inches

Circumference = 3.14 × 28 = 87.92 inches

Area = 3.14 × 14 × 14 = 615.44 inches

4. Radius = 18/2 = 9 inches

Diameter = 18 inches

Circumference = 3.14 × 18 = 56.52 inches

Area = 3.14 × 9 × 9 = 254.34 inches

5. Radius = 5 inches

Diameter = 5 × 2 = 10 inches

Circumference = 3.14 × 10 = 31.4 inches

Area = 3.14 × 5 × 5 = 78.5 inches

6. Radius = 2 inches

Diameter = 2 × 2 = 4 inches

Circumference = 3.14 × 4 = 12.56 inches

Area = 3.14 × 2 × 2 = 12.56 inches

Answer: Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D​

Step-by-step explanation:

1. Radius = 32/2 = 16 inches

Diameter = 32 inches

Circumference = 3.14 × 32 = 100.48 inches

Area = 3.14 × 256 = 803.84 inches

2. Radius :- 40 / 2 = 20 inches

Diameter = 40 inches

Circumference = 3.14 × 40 = 125.6 inches

Area = 3.14 × 20 × 20 = 1256 inches

3. Radius = 28 / 2 = 14 inches

Diameter = 28 inches

Circumference = 3.14 × 28 = 87.92 inches

Area = 3.14 × 14 × 14 = 615.44 inches

4. Radius = 18/2 = 9 inches

Diameter = 18 inches

Circumference = 3.14 × 18 = 56.52 inches

Area = 3.14 × 9 × 9 = 254.34 inches

5. Radius = 5 inches

Diameter = 5 × 2 = 10 inches

Circumference = 3.14 × 10 = 31.4 inches

Area = 3.14 × 5 × 5 = 78.5 inches

6. Radius = 2 inches

Diameter = 2 × 2 = 4 inches

Circumference = 3.14 × 4 = 12.56 inches

Area = 3.14 × 2 × 2 = 12.56 inches

–––––––––☆–––––––––

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

It would be X=2 because axis of symmetry is the line passing through X=2.

Answer:

a) attached below

b) X - bar = 16.65

Y - bar =  80.04

y = 25.26 + 3.29 ( X )

c) attached in diagram below

Step-by-step explanation:

n = 15

∑ x = 20.0 + 16.0 + 19.8 + 18.4 + 17.1 + 15.5 + 14.7 + 17.1 + 15.4 + 16.2 + 15.0 + 17.2  + 16.0 + 17.0 + 14.4  = 249.8

∑ y =  88.6 + 71.6 + 93.3 + 84.3 + 80.6 + 75.2 + 69.7 + 82.0 + 69.4 + 83.3 + 79.6 + 82.6 + 80.6 + 83.5 + 76.3  = 1200.6

∑ xy = ( 20 * 88.6 ) + ( 16 *71.6 ) + ( 19.8 * 93.3 ) + ( 18.4 * 84.3 ) + ( 17.1 * 80.6 ) + (15.5 * 75.2 ) + ( 14.7 * 69.7 ) + ( 17.1 * 82.0 ) + ( 15.4 * 69.4 ) + ( 16.2 * 83.3 ) + ( 15 *79.6 ) + ( 17.2 * 82.6 ) + ( 16 * 80.6 ) + ( 17 * 83.5 ) + ( 14.4 * 76.3 )

 = 20127.47

∑x^2 =  20.0^2 + 16^2 + 19.8^2 + 18.4^2 + 17.1^2 + 15.5^2 + 14.7^2 + 17.1^2 + 15.4^2 + 16.2^2 + 15.0^2 + 17.2^2  + 16.0^2 + 17.0^2 + 14.4^2

   = 4200.56

∑ y^2 = 88.6^2 + 71.6^2 + 93.3^2 + 84.3^2 + 80.6^2 + 75.2^2 + 69.7^2 + 82.0 ^2 + 69.4^2 + 83.3^2 + 79.6^2 + 82.6^2 + 80.6^2 + 83.5^2  + 76.3^2

   = 96725.86

a) Scatter diagram showing given data

Attached below

B)

X - bar = ∑x / n  = 249.8 / 15 = 16.65

Y - bar = ∑y / n  = 1200.6 / 15 = 80.04

where: Y = Temperature and X = Chirps per seconds

b = [ n ∑ xy  - ( ∑x ∑y ) ] / [ n∑x^2 - ( ∑x )^2 ]

   = [ 15 * 20127.47 - ( 249.8  * 1200.6 )] / [15* 4200.56 - ( 249.8 )^2 ]

   = 2002.17 / 608.36  = 3.29

a = Y-bar - b( X-bar )

  = 80.04 - 3.29( 16.65) = 25.26

equation for least squares line

y = 25.26 + 3.29 ( X )

C) Graph the least squares line on scattered diagram

attached below              

9514 1404 393

Answer:

  Q = ±2√R

Step-by-step explanation:

Take the square root:

  ±√R = 1/2Q

Multiply by 2:

  Q = ±2√R

is (0,0) a solution to what system?

Answer:

Rhoda, whose ACT has a z-score of 1, scored in the 84th percentile in the ACT, compared to Bill, whose SAT has a z-score of -2, who scored in the 2nd percentile on the SAT. Due to the higher percentile(higher z-score)  on her test, Rhoda did better on her respective test than Bill, and thus, his logic is wrong.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Bill:

Scored 300, so [tex]X = 300[/tex]

SAT has a μ of 500 and a σ of 100.

His z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{300 - 500}{100}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.02.

This means that Bill, whose SAT score has Z = -2, scored in the 2nd percentile.

Rhoda

Scored 25, so [tex]X = 25[/tex].

ACT has a μ of 20 and a σ of 5

Her z-score:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25 - 20}{5}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.84

This means that Rhoda, whose ACT score has Z = 1, scored in the 84th percentile.

What is wrong with Bill’s logic ?

Rhoda, whose ACT has a z-score of 1, scored in the 84th percentile in the ACT, compared to Bill, whose SAT has a z-score of -2, who scored in the 2nd percentile on the SAT. Due to the higher percentile(higher z-score)  on her test, Rhoda did better on her respective test than Bill, and thus, his logic is wrong.

Answer:

1 11/12

Step-by-step explanation:

convert to common denominators.

1 1/6 = 7/6 = 14/12

3/4 = 9/12

14+9=23

23/12

1 11/12

---

hope it helps

Answer:

The second one

Step-by-step explanation:

USE THE BUTTERFLY TECHINQUE

3/8 O 1/6

18 3/8 O 1/6 8

18 > 8

3/8 > 1/6

Answer:

B is correct

3/8> 1/6 = 3 · 3/8 · 3 > 1 · 4/6 · 4 = 9/24 > 4/24 = 9 > 4 = Yes

Answer:

complementary angles

Step-by-step explanation:

Complementary angles add to 90 degrees

Supplementary angles add to 180 degrees

A right angle is 90 degrees so they are complementary angles

Answer:

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The equation of the circle

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex](h,k) \to center[/tex]

[tex]r \to radius[/tex]

From the attached graph,

[tex](h,k) = (1,-1)[/tex]

[tex]r = 0.5[/tex]

So, we have:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Answer: 1560 = 30(52) + b

Step-by-step explanation:

Based on the information given in the question, the straight line passes through two points which are (40, 1200) and (52, 1560). Then, the equation if the straight line will be:

y - 1560 = (1200 - 1560)/(40 - 52) (x - 52)

y - 1560 = (-360)/(-12) (x - 52)

y - 1560 = 30(x - 52)

Lets put the value of x to be 0.

y - 1560 = 30(x - 52)

y - 1560 = 30(0 - 52)

y - 1560 = -30(52)

Therefore, 1560 = 30(52) + b

Answer:

26.

Step-by-step explanation:

As the vertex angles are equal:

24/54 = x / x+10

54x = 24x + 240

30x = 240

x = 8

So EG = x + x + 10

=  8 + 8 + 10

= 26..

Answer:

Uhhh get it i guess

Step-by-step explanation:

Answer: Well 7 days = 1 week, also 26 months = 2.16667 year or 790.834 days. I DON'T GET IT

Step-by-step explanation:

Answer:

Ordinal

Step-by-step explanation:

When dealing with categorical variables who doesn't permit mathematical or numerical evaluation of values or inputs, the ordinal variable atleast gives a method of scaling which allows us to rank variables on terms of importance, magnitude and so on. Such that the even though we can't measure the difference between the variables, we can tell that one is much better, important or higher in hierarchy than the other. Such is the categorical variable, of class when traveling. This could be Economy, Business, First class.

The Economy class is the lowest, followed by Business class then the First class. Here, there is an order or rnak in the classes but not measurable.

Answer:

a rectangle

Step-by-step explanation:

Answer:

for B based on the information givin the answer would be 8 4/7

hope this helps

Answer:

60/7 or 8 4/7

Step-by-step explanation:

Take the length of one of your rods and multiply by 15.

4/7 x 15/1 = 60/7 or 8 4/7

Answer:

Step-by-step explanation:

2(x-2)=3x+3(2x+1)

2x-4=3x+6x+3

2x-4=9x+3

2x-9x=3+4

-7x=7

x=7/-7

x=-1

9514 1404 393

Answer:

  1/12 box

Step-by-step explanation:

Each brother gets 1/4 of the remaining 1/3 box, so ...

  (1/4)(1/3 box) = 1/(4·3) box = 1/12 box

Each brother gets 1/12 of the original box.

Answer:

Step-by-step explanation:

Elder abuse is any action that causes harm or distress to an older person. ...

Sexual violence is any action that results in the loss or removal of sexual autonomy for a person. ...

Stalking is a pattern of harassing behavior or course of conduct directed at a specific person that would place that person in reasonable fear.

Answer:

55°

Step-by-step explanation:

triangle= 180°

third angle= 180-90-35

= 55°

Answer:

The probability of drawing an odd numbered ticket is 60%.

Step-by-step explanation:

Odd numbered tickets:

Probability of one is 1/5 plus half of 1/5.

[tex]P(X = 1) = \frac{1}{5} + \frac{1}{10} = \frac{3}{10}[/tex]

Probability of 3 is half of 1/5.

[tex]P(X = 3) = \frac{1}{10}[/tex]

Probability of 5 is 1/5. So

[tex]P(X = 5) = \frac{1}{5}[/tex]

Probability of drawing an odd numbered ticket:

[tex]p = P(X = 1) + P(X = 3) + P(X = 5) = \frac{3}{10} + \frac{1}{10} + \frac{1}{5} = \frac{4}{10} + \frac{2}{10} = \frac{6}{10} = 0.6[/tex]

0.6*100% = 60%

The probability of drawing an odd numbered ticket is 60%.

Answer: 6.25 yards

Step-by-step explanation:

75 inches = 4 bows

To get 12, you have to multiply 4 by 3. Therefore, you also have to multiply 75 by 3.

75*3 is 225.

225 inches = 12 bows

225 inches is 6.25 yards. Hope this helps :)

Answer/Step-by-step explanation:

The figure given shows two triangles.: ∆ADB has two equal base angles while ∆BCD has three equal angles. Therefore, based on their angles, we can conclude that:

∆ADB is an isosceles triangle

∆BCD is an equilateral triangle

Before we add up he outside lengths of Quadrilateral ABCD to find the perimeter, let's recall three properties of each triangle:

Isosceles triangle:

-Has two equal base angles

-The two sides opposite the two equal base angles are also equal to each other

-the their side (base) is unequal to the other

Equilateral triangle:

-Has three equal angles

-Has three equal sides

-Each angle measures 60°

Using these properties, we can determine the outside lengths of quadrilateral ABCD:

AB = 21 (given)

AD = 17 (given)

AD = BD = 17 (equal sides of ∆ADB)

BD = 17

BD = BC = CD = 17 (properties of equilateral triangle)

BC = 17

CD = 17

✔️Perimeter of Quadrilateral ABCD = AB + BC + CD + AD = 21 + 17 + 17 + 17

Perimeter = 72 units

9514 1404 393

Answer:

  59 cm

Step-by-step explanation:

The area is the product of length and width. Using the given numbers, we have ...

  A = LW

  4779 cm² = (81 cm)W

  W = (4779 cm²)/(81 cm) = 59 cm

The width of the window is 59 cm.

Answer:

- [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2x-3y}{2x+3y}[/tex] ← factor out y from each term on numerator/ denominator

= [tex]\frac{y(2\frac{x}{y} -3)}{y(2\frac{x}{y} +3)}[/tex]

= [tex]\frac{2(\frac{3}{4})-3 }{2(\frac{3}{4})+3 }[/tex]

= [tex]\frac{\frac{3}{2}-3 }{\frac{3}{2}+3 }[/tex]

= [tex]\frac{-\frac{3}{2} }{\frac{9}{2} }[/tex]

= - [tex]\frac{3}{2}[/tex] × [tex]\frac{2}{9}[/tex]

= - [tex]\frac{3}{9}[/tex]

= - [tex]\frac{1}{3}[/tex]

Answer:

(4a^5b^6)^4 = 256a^20b^24

Step-by-step explanation: