Verda used a sensor to measure the speed of a moving car at different times. At

Which ordered pair is a solution of the equation below? y=x-3

AleksandrR [38]

(4,1) is a possible solution. Hope this helps. :)

5 0

4 years ago

6. Peggy Carter is selling tickets to see Captain America. On the first night she sold 12 adult tickets and 11 student tickets f

Nataliya [291]

Answer:

student ticket = $11

(adult ticket = $15)

Step-by-step explanation:

Let a = price of adult ticket

Let s = price of student ticket

Given:

On the first night she sold 12 adult tickets and 11 student tickets for $301 dollars

⇒ 12a + 11s = 301

Given:

On the second night she made $134 selling 6 adult tickets and 4 student tickets

⇒ 6a + 4s = 134

Multiply 6a + 4s + 134 by 2 then subtract from 12a + 11s = 301 to eliminate a:

⇒ (6a + 4s = 134) × 2: 12a + 8s = 268

12a + 11s = 301

- (12a + 8s = 268)

--------------------------

3s = 33

⇒ s = 33 ÷ 3 = 11

Substitute found value of s into one of the equations and solve for a:

⇒ 12a + 11(11) = 301

⇒ 12a + 121 = 301

⇒ 12a = 180

⇒ a = 15

Therefore, the price of an adult ticket is $15 and the price of a student ticket is $11

6 0

2 years ago

An epidemiologic study examined the incidence of symptomatic Chlamydia infection in a cohort of 2000 young women in a county in

seraphim [82]

a. If no one dropped out of the study and no one developed Chlamydia infection during the study period, the total number of person-years = 10,000 person-years (2,000 x 5 years).

<h3>What are person-years?</h3>

Person-years are the product of the number of people in a study and the amount of time each person spends in the study.

Thus, since there are 2,000 women in this study, who spend 5 years each, the person-years are 10,000 (2,000 x 5) person-years.

b. The estimated incidence rate of Chlamydia infection among women who participated in the study is 0.62 or 620 per 1,000 person-years (6,200/10,000).

<h3>What is an incidence rate?</h3>

An incidence rate describes the quickness of disease occurrence in a population. Since the incidence rate is based on person-time, it has some advantages over an incidence proportion, which measures the probability of developing a disease during the specified period.

<h3>Data and Calculations:</h3>

Sample of young women = 2,000

Period of study = 5 years

Subjects newly diagnosed with infection = 440

Total number of person-years of subjects diagnosed = 6,200

Thus, the total number of person-years in the study is <u>10,000 person-years</u>, while the incidence rate is <u>620 per 1,000</u>.

Learn more about incidence rates at brainly.com/question/24493066

3 0

2 years ago

What is the radius of a circle whose equation is x2 y2 8x – 6y 21 = 0?

andrew11 [14]

we know that

the standard form of the equation of the circle is

$(x-h)^{2} +(y-k)^{2}=r^{2}$

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

$x^{2} +y^{2} +8x-6y+21=0$

<u>Convert to standard form</u>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$(x^{2}+8x) +(y^{2}-6y)=-21$

Complete the square twice. Remember to balance the equation by adding the same constants to each side.

$(x^{2}+8x+16) +(y^{2}-6y+9)=-21+16+9$

$(x^{2}+8x+16) +(y^{2}-6y+9)=4$

Rewrite as perfect squares

$(x+4)^{2} +(y-3)^{2}=4$

$(x+4)^{2} +(y-3)^{2}=2^{2}$

the center of the circle is $(-4,3)$

the radius of the circle is $2\ units$

therefore

<u>the answer is</u>

the radius of the circle is $2\ units$

8 0

3 years ago

Read 2 more answers

In ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. Find the measure of ∠J to the nearest degree.

nydimaria [60]

We have been given that in ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. We are asked to find the measure of angle J to nearest degree.

First of all, we will draw a triangle as shown in the attachment.

We can see from our attachment that side KL is opposite side to angle J and side JK is hypotenuse of right triangle.

We know that sine relates opposite side of right triangle to hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$