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3 years ago

Dante is selling donuts outside a huge office building every morning. The first week

Mathematics

1 answer:

inysia [295]3 years ago

5 0

Answer:

Step-by-step explanation:

45 - 25 = 20

65 - 45 = 20

as you can see the common difference between the 3 consecutive numbers 25 , 45 and 65 is a constant (20)

so ,we are in an arithmetic sequence case with :

first term 25

common difference r = 20

Let’s label the sequence: Un

then

Un = U1 + (n-1)×r

= 25 + (n-1)×20

= 20n + 5

for n = 10 → U10 = 20(10) + 5 = 200 + 5 = 205

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MrMuchimi

It’s add positive 2 every time I believe

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3 years ago

3 times the sum of 1/3 of a number and 8 is 11

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3 years ago

Which of the following is the standard equation of the ellipse with vertices at (1,0) and (27,0) and an eccentricity of 5/13?

Dovator [93]

The equation of the elipse is given by:

$\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1$

The equation of an elipse of center $(x_0, y_0)$ is given by:

$\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 0$

Values a and b are found according to the <u>vertices and the eccentricity</u>.

It has vertices at (1,0) and (27,0), thus:

$x_0 = \frac{27 + 1}{2} = 14$

$y_0 = \frac{0 + 0}{2} = 0$

$a = \frac{27 - 1}{2} = 13$

$a^2 = 169$

It has eccentricity of $\frac{5}{13}$ , thus:

$\frac{5}{13} = \frac{c}{a}$

$\frac{5}{13} = \frac{c}{13}$

$c = 13$

Thus, b is given according to the following equation:

$c^2 = a^2 - b^2$

$b^2 = a^2 - c^2$

$b^2 = 169 - 25$

$b = \sqrt{144}$

$b = 12$

The equation of the elipse is:

$\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1$

A similar problem is given at brainly.com/question/21405803

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3 years ago

Jada's grandparents started a saving account in 2010 , the rable shows the amount in the account each year

Vaselesa [24]

Answer: we need the table to solve this

Step-by-step explanation:

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2 years ago

What is the equation of a line that has a slope of −12 and a y-intercept of 3? Express your answer in slope-intercept form.

Elena L [17]

If given the slope and y-intercept, you can directly get the slope intercept form as

y = -12x + 3

6 0

3 years ago