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photoshop1234 [79]
2 years ago
8

A wooden plaque is in the shape of an ellipse with height 26 centimeters and width 16 centimeters. Find an equation for the elli

pse and use it to find the horizontal width, in centimeters, of the plaque at a distance of 6 centimeters above the center point. (Round your answer to the nearest hundredth if necessary.)
Mathematics
1 answer:
Hoochie [10]2 years ago
8 0

Answer:

14.19

Step-by-step explanation:

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A law firm charges a client according to the function f(x)=4(x+2) , where x represents the number of hours spent on the client’s
Zigmanuir [339]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ---> the number of hours spent on the client’s case each week

f(x) ---->  the total charge that week in hundreds of dollars

we have

f(x)=4(x+2)

distribute

f(x)=4x+8

This is the equation of the line in slope intercept form

where

The slope or unit rate is

m=4

The y-intercept or initial value is

b=8

To graph the line we need minimum two points

Find the x-intercept

For f(x)=0

0=4x+8\\4x=-8\\x=-2

The x-intercept is the point (-2,0)

so

we have

the points (-2,0) and (0,8)

To graph the line, plot the intercepts, connect them and join the points

The graph in the attached figure

Remember that the value of x and the value of f(x) cannot be a negative number

3 0
2 years ago
ernesto tiene que enviar 4 encomiendas que tienen una masa del total de ocho decimos de kg. ¿que fraccion de kg. tiene cada una
Ber [7]

⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.

Y

¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden

para expresar el peso de cada uno de ellos, tenemos

la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:

8 kg/4 s

2 kg por encomiendaOfertamos la fracción que representa cada una en el total:

kg por encomienda/total de kg

2/8 x 1/4

6 0
2 years ago
A country's population in 1993 was 94 million. in 1999 in was 99 million. estimate the population in 2005 using the exponential
Jet001 [13]
The initial population is
P₀ = 94 million in 1993

The growth formula is
P(t) = P_{0}e^{kt}
where P(t) is the population (in millions) after t years, measured from 1993.
k = constant.

Because P(5) = 99 million (in 1999), 
94e^{5k} = 99 \\e^{5k}=1.0532 \\ 5k = ln(1.0532) \\ k = 0.010367

In the year 2005, t = 12 years, and
P(12)=94e^{0.010367*12} = 106.45

Answer: 106 million (nearest million)

7 0
2 years ago
Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41.6π s
vaieri [72.5K]
8 inches hope it helps

6 0
2 years ago
Read 2 more answers
The area of a second soup can’s base is 5 pi inches squared. The can has a height of 10 inches. How would you use that informati
Ilia_Sergeevich [38]

Answer:

The amount of soup the can will hold is;

50π inches cubed = 157.08 inches cubed

Step-by-step explanation:

The amount of soup the can will hold is equal to the volume of the can.

Volume of the can = base area × height

Given;

Base Area = 5π inches squared

height = 10 inches

Volume of can = 5π × 10 = 50π inches cubed

The amount of soup the can will hold is;

50π inches cubed = 157.08 inches cubed

8 0
2 years ago
Read 2 more answers
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