Santos wants to know what percentage of people who get married in his county knew each other in school. Which of the following survey methods will allow Santos to make a valid conclusion about the percentage of couples married in his county who knew each other in school?

Answer: The identity is verified. See the explanation.

Step-by-step explanation:

You must keep on mind the following identities:

[tex]csc\theta=\frac{cos\theta}{sin\theta}\\\\csc\theta=\frac{1}{sin\theta}\\\\sin^2\theta+cos^2\theta=1[/tex]

Therefore, by substitution, you can rewrite the identity as shown below:

[tex]1+cot^2\theta=csc^2\theta\\\\1+\frac{cos^2\theta}{sin^2\theta}=csc^2\theta[/tex]

Simpliying, you obtain:

[tex]\frac{sin^2\theta+cos^2\theta}{sin^2\theta}=csc^2\theta\\\\\frac{1}{sin^2\theta}=csc^2\theta\\\\csc^2\theta=csc^2\theta[/tex]

The identity is verified.

Answer:

The slope is 5/4

Step-by-step explanation:

This equation is written in slope intercept form

y = mx+b, where m is the slope and b is the y intercept

y = 5/4x -7/4

5/4 is the slope and -7/4 is the y intercept

Answer:

7

Step-by-step explanation:

altogether = 17

hannah =10

answer= 17-10

                  7

To model Orlando's population growth, an equation in slope-intercept form is y = 2000x + 175000. The year 2010 is 15 years after 1995, so substituting 15 in for x gives a population of approximately 205,000 residents for Orlando in 2010.

To answer the student's question, first we need to write an equation in slope-intercept form to find Orlando's population for any year. The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope of the line (the rate of change) and b is the y-intercept (the starting value when x=0). In this case, the variable y represents Orlando's population, m represents the annual growth rate (2000 people per year), and x represents the number of years since 1995.

Using these variables, our equation becomes y = 2000x + 175000, where x is the number of years since 1995. To find Orlando's population in 2010, we must substitute x with 15, since 2010 is 15 years after 1995.

The calculation would be: y = 2000(15) + 175000, which simplifies to y = 205000.

Therefore, Orlando's population in 2010 was approximately 205,000 residents.

Answer:

A. -6

Step-by-step explanation:

(2,-2) reflected over X would be (-2,2). Then dilate by 3 which you multiply by 3. So -2 x 3 = -6.  

Answer:

x = 16

y = 131

Step-by-step explanation:

4x + 2x - 6 = 90

6x = 96

x = 16

16 + 33 + y = 180

49 + y = 180

y = 131

total 5 friends ate 5 half pieces of pizza

so we will add all 5 pieces togther.

total pizza = 1/2 +1/2+1/2+1/2+1/2 = 5/2

so option C is answer

The area of the trapezoidal courtyard is 114 square meters.

To find the area of a trapezoid, you can use the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times (\text{sum of the bases}) \times \text{height} \][/tex]

Given:

- Base 1 (b1) = 8 meters

- Base 2 (b2) = 11 meters

- Height (h) = 12 meters

Plugging these values into the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times (8 + 11) \times 12 \][/tex]

[tex]\[ \text{Area} = \frac{1}{2} \times 19 \times 12 \][/tex]

[tex]\[ \text{Area} = \frac{1}{2} \times 228 \][/tex]

[tex]\[ \text{Area} = 114 \][/tex]

So, the area of the courtyard is 114 square meters.

Answer:

x = [tex]\frac{20}{3}[/tex]

Step-by-step explanation:

ΔABC and ΔEDC are similar triangles ( AA ), hence the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{ED}[/tex] = [tex]\frac{BC}{DC}[/tex], substitute values

[tex]\frac{x}{4}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )

3x = 20 ( divide both sides by 3 )

x = [tex]\frac{20}{3}[/tex]

Answer:

5400 cm^3

Step-by-step explanation:

Volume = Base Area * H

Base area is the area of a square with one side = 30 cm

H = 6cm

Base Area = s^2

Base Area = 30^2 = 900

Volume  =  900 * 6

Volume = 5400 cm^3

Answer:

1800 cm³

Step-by-step explanation:

Recall that the formula for the area of a square is A = s², where s is the side length.

Here, that area is A = (30 cm)²2.

The formula for the volume of a square pyramid is:

V = (1/3)(base area)(height)

   = (1/3)(30 cm)²2*(6 cm)

   = (1/3)(900 cm²)(6 cm) = 1800 cm³

The volume of this pyramid is 1800 cm³.

Answer:

I know she he or they answered just wanted you to see :)

Step-by-step explanation:

3/4(2(2+4k)+2(3+3/2k))

Use the distributive property inside the parenthesis first:

3/4(4+8k + 6 + 3k)

Simplify:

3/4(11k + 10)

Distributive property again:

3/4(11k) + 3/4(10)

33/4k + 15/2

Rearrange to get A. 15/2 + 33/4k

Yes it is called a right angled triangle

5. you would use whole numbers because points are whole

7.x represents (2) the hours worked per week. this is because it say hourly rate and were estimating the weekly profit

You use whole numbers because the points are whole represents 2) the hours worked per week. this is because it say hourly rate and were estimating the weekly profit

Hope this helped.

Answer:

* The degree of the function is 4 and the leading coefficient is positive

 f(x) = (x + 6)(2x - 3)(x - 1)²

* The degree of the function is 5 and the leading coefficient is negative

 f(x) = (x - 2)²(-2x - 1)²(-x + 1)

* The degree of the function is 6 and the leading coefficient is negative

 f(x) = (-x + 1)³(x + 2)²(x - 3)

* The degree of the function is 5 and the leading coefficient is positive

 f(x) = (-2x + 1)²(x - 3)²(x + 1)

Step-by-step explanation:

∵ f(x) = (x + 6)(2x - 3)(x - 1)²

∵  (x)(2x)(x²) = 2x^4

∴ The degree of the function is 4

∴ The leading coefficient is positive ⇒ (2)

∵ f(x) = (x - 2)²(-2x - 1)²(-x + 1)

∵ (x)²(-2x)²(-x) = (x²)(4x²)(-x) = -4x^5 ⇒ (neglect -ve with even power)

∴ The degree of the function is 5

∴ The leading coefficient is negative ⇒ (-4)

∵ f(x) = (-x + 1)³(x + 2)²(x - 3)

∵ (-x)³(x)²(x) = (-x³)(x²)(x) = -x^6

∴ The degree of the function is 6

∴ The leading coefficient is negative ⇒ (-1)

∵ f(x) = (-2x + 1)²(x - 3)²(x + 1)

∵ (-2x)²(x)²(x) = (4x²)(x²)(x) = 4x^5

∴ The degree of the function is 5

∴ The leading coefficient is positive ⇒ (4)

Answer:

rx-axis o T- 6,1 (x,y)

Step-by-step explanation:

We can see in the diagram that distances of  and  from the x-axis are equal with the distances of  and  from the x-axis respectively.

That means,  is first reflected about the x-axis to form

Now,  and  are located at 6 units left and 1 unit up from  and .

Thus, for getting the final image , we are first reflecting  about the x-axis and then translated it 6 units left and 1 unit upward.  

Answer:

I'd say it's B

Step-by-step explanation:

Cuz

Answer:

B. $60,000

Step-by-step explanation:

multiply 2 million by 3% to get your answer

hope this helps!!

Answer:

2,000,000 times 3% = 60,000 so b 60,000

Step-by-step explanation:

Answer:

i forgot to

Step-by-step explanation:

Answer:

Graph 3

Step-by-step explanation:

Answer:

AM = 6

Step-by-step explanation:

Using the property of a parallelogram

• The diagonals bisect each other

MO is a diagonal, hence

AM = AO = 6

Julia ate 1/8

Ellen and Jenny ate 3/8

1/8 + 3/8 = 4/8

No they didn't eat the whole pizza, they only ate half of the pizza.

Julie, Ellen, and Jenny together ate [tex]\frac{1}{8}[/tex]+ [tex]\frac{3}{8}[/tex] = [tex]\frac{4}{8}[/tex] or [tex]\frac{1}{2}[/tex]of the pizza, which means they ate only half of it, not the entire pizza.

The question involves the mathematical concept of fractions and their addition. Julie ate [tex]\frac{1}{8}[/tex] of the pizza, while Ellen and Jenny together ate [tex]\frac{3}{8}[/tex]of the pizza. To determine if they ate the whole pizza, we need to add these fractions.

[tex]\frac{1}{8}[/tex] (Julie's portion) + [tex]\frac{3}{8}[/tex] (Ellen and Jenny's portion) =  [tex]\frac{4}{8}[/tex]or [tex]\frac{1}{2}[/tex] after simplifying.

Since [tex]\frac{1}{2}[/tex] is less than a whole, Julie, Ellen, and Jenny did not eat the entire pizza. They ate only half of it.

the area is 164. You multiply 6x4=24 and then u do 10x8=80 and then u add and get 164

Answer:

1.047

Step-by-step explanation:

60° × π/180 = 1.047rad

or

From the standard conversion factor

360∘ = 2 π r a d

we may use ratio and proportion to obtain that

60 ∘ = π 3 r a d

Answer:

pi/3

Step-by-step explanation:

To convert from degrees to radians, we multiply by pi/180

60 degress * pi/180 =  pi/3

60 degrees is pi/3 radians

Answer:

P+C=x?

If there was no numerical data, than that is probably the answer. Is it multiple choice?

Answer:

48/4

Step-by-step explanation:

Answer:

9.22×10^9

Step-by-step explanation:

The number must be written with

- a number between 1-10

- multiplied by a power of 10

The power of 10 tells you how many times you moved the decimal.

Answer:

she thought the chair's orginal price was fourty instead it is 72

Step-by-step explanation:

Answer:

[tex]x=53[/tex]

Step-by-step explanation:

step 1

Find the measure of arc DF

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<OEF=\frac{1}{2}(arc\ DF)[/tex]

we have

[tex]m<OEF=32\°[/tex]

substitute

[tex]32\°=\frac{1}{2}(arc\ DF)[/tex]

[tex]arc\ DF=64\°[/tex]

step 2

Find the measure of x

we know that

[tex]arc\ DF+arc\ EF=180\°[/tex] ---> is half the circle

we have

[tex]arc\ DF=64\°[/tex]

[tex]arc\ EF=(2x+10)\°[/tex]

substitute

[tex]64\°+(2x+10)\°=180\°[/tex]

[tex]2x\°=180\°-74\°[/tex]

[tex]2x\°=106\°[/tex]

[tex]x=53[/tex]

The value of x for the angles of the inscribed circle is gotten as; x = 53°

Let us first find the angle subtended by the arc DF

From inscribed angle theorem, we know that the measure of an inscribed angle is half the measure of the intercepted arc. Thus;

m∠EOF = ¹/₂(arc DF)

Thus;

¹/₂(arc DF) = 32°

arc DF = 64°

From half circle theorem, we can say that;

arc DF + arc EF = 180°

Thus;

64 + 2x + 10 = 180

2x = 180 - 74

2x = 106

x = 53°

Read more about inscribed angles at; https://brainly.com/question/13110384

Answer: one hundred and twenty five million

Answer:

125,000,000

Step-by-step explanation:

3 billion has 9 0's so you take that and divide it by 24 to get:

3,000,000,000/24=125,000,000 as your answer

Answer:

tn = 7 + (n - 1)*(-2) or

tn = 9 - 2n

Step-by-step explanation:

You are (beginning with 7) subtracting 2 from the term to the left.

a = 7

d = -2

tn = a1 + (n - 1)*d

tn = 7 + (n - 1)*(-2)

Try this out on n = 4

t4 = 7 + (4 - 1)*-2

t4 = 7 +  (3) (-2)

t4 = 7 - 6

t4 = 1 just as it says.

More generally

tn = 7 + (n - 1)*-2

tn = 7 + (-2n) + 2

tn = 9 - 2n