Which function is continuous at x = –4?

Area of triangle: 3m

Area of rectangle: 24m

Area of semi-circle: 6.28m

Answer:

33.28 m²

Step-by-step explanation:

The figure consists of three shapes:

1) A semicircle of radius 2 m.

2) A rectangle 4 m by 6 m.

3) A triangle with base 3 m and height 2 m.

area = ½πr² + LW + ½bh

area = 3.14 * (2 m)^2/2 + (6 m)(4 m) + (3 m)(2 m)/2

area = 6.28 m² + 24 m² + 3 m²

area = 33.28 m²

1. Jim is tracking the progress of his plant’s growth. Today the plant is 8cm high. The plant grows 3.5cm per day. What will the height of the plant be on day 28? (Hint: “today” is day 0).

"The plant grows 3.5 cm per day" means that the function grows by 3.5 cm each day. We can make a function like this:

y = 8 + 3.5x

Day 0 -> Day 28 is +28 days, so plug-in x with 28 to find out how much it would have grown in 28 days PLUS the original height of the plant, 8 cm.

y = 8 + 3.5(28) <-- see how I replaced x with 28

Simplify

y = 8 + 98 = 106 cm at day 28

2. The average inflation rate of the U.S. dollar over the last six years is 2.8% per year. If a new car cost $29,000 six years ago, how much would it cost today?

2015, 2016, 2017, 2018, 2019, 2020, 2021

Just to help you imagine the years, we need to find the car's value from $29,000 in 2015 to 2021 using the idea that the car's value increases by 2.8 percent. What does 2.8 percent mean and how do we use this information to find out how much it increases? We need to convert this to a decimal so we can multiply it by 29,000 easily. First, convert 2.8% to a decimal = 0.028. Then we have to add 1 to 0.028. Why? Because we need to make sure that we still have the original 100% of the 29,000. If we forget the 1 then we're just finding 2.8% of 29,000! So, now we know that our multiplier by each year is 1.028. Now we have to multiply.

29,000 x (1.028)^6 (we have a power of 6 because remember, we are multiplying the 1.028 every year, and there are 6 years!)

Simplify: 34,226.0425 that rounds to 34,226.0425 dollars

3. The population of Mickey Village is 48,000 today. Every other year the population increases by 1,550 people. In approximately how many years will the population exceed 70,000 people?

The details of this question are confusing, so I won't answer this. Sorry, I'm really short on time. I hope I could help the best I could.

Answer:

False.................

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

Answer:

A)  $1,717.73.

B)  $1,807.02.

Step-by-step explanation:

Given that $ 1234 is invested at 5.6% annual interest for 7 years, to determine the final amount applying a simple interest and a compound interest, the following calculations must be performed:

A)

1234 + ((1234 x 0.056) x 7) = X

1234 + (69.104 x 7) = X

1234 + 483.728 = X

1717.728 = X

Therefore, applying a simple interest of 5.6% per year, in 7 years the amount invested would be $ 1,717.73.

B)

1234 x (1 + 0.056) ^ 7 = X

1234 x 1.056 ^ 7 = X

1234 x 1.464 = X

1,807.02 = X

Therefore, applying compound interest, the sum would become $ 1,807.02.

Answer:

casidy from fanf ?!?!

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

post the whole problem it's cut off

Answer:

Step-by-step explanation:

Answer:

c. [tex] \frac{3x + 4}{x^2} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]

Required:

The sum

Solution:

[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]

Common denominator is x².

Therefore, divide x² by the denominator of each fraction and multiply by each of its denominator.

Thus, we would have:

[tex] \frac{3x + 4}{x^2} [/tex]

Answer:

All I know is that the total of the provided numbers make 58 feet and that you should probably break down the shapes into 2 different shapes. Then try to find the perimeters of each shape. I'm not sure what to do afterwards. Maybe I helped jogged your memory on what to do? I hope I helped some.

Answer:

Toque para cambiar a la cámara frontal.

Step-by-step explanation:

Answer:

-0

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

The equation of the Ferris wheel circle is [tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]

A Ferris wheel is an amusement park ride consisting of a large vertical wheel with places for people to sit or stand spaced evenly around the outer circumference.

The standard equation of the circle is

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

Where,

(h, k) is the center of the circle

and, r is the radius of the circle

According to the given question.

The diameter of the Ferris wheel is 200 feet

[tex]\implies radius\ of \ the\ Ferris\ wheel = \frac{200}{2} = 100feet[/tex]

Height of the platform = 7 × 7.5 = 52.5 inches = 4.375 feet

Therefore,

[tex]k = 4.375+100 = 104.375feet[/tex]

and

[tex]h = 0[/tex]

Therefore, the equation of the Ferris wheel circle is

[tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]

Find out more information about equation of the circle here:

https://brainly.com/question/10618691

#SPJ3

Answer:35 answer

Step-by-step explanation:75-40=35

Answer:35

Step-by-step explanation:

40+T=75

Or

75-40=35

Answer:

3 weeks 5 days

Step-by-step explanation:

A week is 7 days

26/7 = 3 remainder 5

3 weeks 5 days

Answer:

answer:

answe:

answ:

ans:

an:

as:

a:

:

Answer:

15.75-1.50=14.15

14.15-0.75=13.50

Answer: The perimeter is 95 + 15 sqrt 3, and the area is 600 + 35 sqrt 3 / 2

Step-by-step explanation:

We can draw an imaginary line to form a 30 60 90 triangle. The ratio of side lengths in this special triangle is 1 sqrt 3 2. We are given that the side length opposite to 60 degrees is 15. 15 divided by sqrt 3 is equal to 5 sqrt 3. Now, to find the diagonal we can do 5 sqrt 3 * 2 = 10 sqrt 3. So now, we can find the perimeter. The perimeter is equal to 15 + 40 + 40 + 5 sqrt 3 + 10 sqrt 3 = 95 + 15 sqrt 3. Now, we can find the area. The area can be split into the rectangle's area and the triangle's area. The rectangle's area is 15 * 40 = 600. The triangle's area is 15 * 5 sqrt 3 / 2 = 35 sqrt 3 / 2. The total area is 600 + 35 sqrt 3 / 2.

Answer:

Perimeter: 95+15*sqrt(3)=120.98

Area: ([45*sqrt(5)]/2) + 600=605.3

Answer:

Step-by-step explanation:

A' (2,-3)

B' (5,-5)

C' (7,-3)

D' (5,-2)

Answer:

A' (2,-3)

B' (5,-5)

C' (7,-3)

D' (5,-2)

Step-by-step explanation:

Answer:

The answer is C.x=6,x=-6

Step-by-step explanation:

Greetings!

An assumption

"In general, all equations of the form x² = a, where a is a positive number, will always give two solutions, namely x = - √a or x = √a."

Thus,

Answer:

(x,y)=(4,-9)

Step-by-step explanation:

The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The solution of the equation means the value of the unknown or variable.

The system of the equation is given below.

7x + 4y = – 8      …1

8x + 5y = –13     …2

Multiply equation 1 by 5 and equation 2 by 4. Then subtract the equation 1 from 2, then we have

32x – 35x = –52 – (–40)

          –3x = –12

              x = 4

Substitute the value of x in equation 1, then the value of y will be

7(4) + 4y = – 8

 28 + 4y = –8

          4y = –36

            y = –9

The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Answer:

3600ft.

Step-by-step explanation:

12blocks x 50ft/block = 600 feet/5min.

30min/5min = 6

600 x 6 = 3600 ft.

Answer:

hi

Step-by-step explanation:

i think so,

(5x-54)⁰=(3x+16)⁰

5x-3x=16+54

2x=70

x=35⁰

3x+16=3×35+16=121

5x-54=5×35-54=121

hope it helps

have a nice day

Answer:

x = 35

The angles measure 121°

Step-by-step explanation:

Alternate interior angles are congruent. So,

3x + 16 = 5x - 54

16 = 2x - 54

70 = 2x

x = 35

Now, to find the angle measures, just plug in the value for x.

3(35) + 16 = 121°

5(35) - 54 = 121°

Answer: hewo, there! I hope I Made it easier to Understand

the first method is to equally divide the top and bottom of the fraction by whole numbers larger than 1 until you cannot go any further. As an example, let's take the fraction 24/108: Divide each number by 2 to get 12/54. Divide by 2 again to get 6/27

Step-by-step explanation:

To work out a fraction of a number, all you need to do is divide that number by the denominator of the fraction, then multiply your result by the numerator of the fraction

Hope this helps you!!

Have a great day!!!

Answer:

9 - 11 = -2

Step-by-step explanation:

Because 9 is being subtracted by a number greater than itself, the answer has to be a negative and because:

9 + 2 = 11

9 - 11 = (-2)

Your Welcome :)

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Write down the percent divided by 100 like this:

25% = 25/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 25 is an integer, we don't have numbers after the decimal point. So, we just go to step 3

(or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(25,100) = 25. So,

(25÷25)/(100÷25) = 1/4 when reduced to the simplest