Which graph represents a bike traveling at a constant rate of<br> 12 miles per hour?

The number of mosquitoes in Minneapolis, Minnesota (in millions of mosquitoes) as a function of rainfall (in

SCORPION-xisa [38]

Answer:

5 cm

Step-by-step explanation:

Given the function:

$m(x)=-(x-5)^{2} +25$

As we know the above function is a quadratic equation (vertical parabola) open downward and the vertex is the maximum number of mosquitoes.

The vertex form of a quadratic function is:

$y=a(x-h)^{2} +k$ where (h,k) is the vertex

Our given function have the vertex form as well, so the

(h,k) = (5,25)

At the height of 5 cm the rainfall will produce the maximum number of mosquitoes

8 0

3 years ago

The cost of a circular table is directly proportional to the square of the radius. A circular table with a radius of 50cm costs

Lana71 [14]

Answer:

£135 is the correct answer.

Step-by-step explanation:

Let C be the cost of table.

And let R be the radius of table.

Cost of table is directly proportional to square of radius.

As per question statement:

$C\propto R^{2}$ or

$C=a\times R^2 ....... (1)$

where $a$ is the constant to remove the $\propto sign$ .

It is given that

$C_1 =$ £60 and $R_1 = 50\ cm$

$C_2 = ?$ when $R_2= 75\ cm$

Putting the values of $C_1$ and $R_1$ in equation (1):

$60=a \times 50^2 ....... (2)$

Putting the values of $C_2$ and $R_2$ in equation (1):

$C_2=a \times 75^2 ....... (3)$

Dividing equation (2) by (3):

$\dfrac{60}{C_2}= \dfrac{a \times 50^2}{a \times 75^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{50^2}{75^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{2^2}{3^2}\\\Rightarrow \dfrac{60}{C_2}= \dfrac{4}{9}\\\Rightarrow C_2 = 15 \times 9 \\\Rightarrow C_2 = 135$

So, <em>£135 is the correct answer</em>.

7 0

3 years ago

Find the area of the shape shown below.

Kryger [21]

Answer: 4, 800

Step-by-step explanation:

4 0

3 years ago

Find the value of this expression if x = 5.<br> x2 + 2<br> x+4

denis-greek [22]

Answer:

If x=5, the solution would be 3.

5 0

4 years ago

Read 2 more answers

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

Which graph represents a bike traveling at a constant rate of 12 miles per hour?