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3 years ago

Cuál es la suma de los primeros 30 términos de la sucesión 1,2,3,4

Mathematics

1 answer:

Bezzdna [24]3 years ago

7 0

Answer:

465

Step-by-step explanation:

1 + 2 + 3 + ... + n = n(n + 1)/2

1 + 2 + 3 + ... + 30 = 30(31)/2 = 465

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Which function describes this table of values?

Daniel [21]

Answer:

$y = \frac{1}{2}x +2$

Step-by-step explanation:

From the table of function given, you would observe that if you subtract 2 from half of the x-variable values, you'd get the y-variable values.

For example, half of -8 = -4. If you add 2 to -4, you'd get: -4 + 2 = -2. Same applies to other x-values on the table.

Thus, an expression for the function represented by the table values can be written as,

$y = \frac{1}{2}x +2$

3 0

3 years ago

A circular garden has a circumference of 113 yards. Lars is digging a straight line along a diameter of the garden at a rate of

marin [14]

Answer:

Step-by-step explanation:

Circumference = $2\pi r = \pi d$ , where r is radius, and d is diameter

d=113/3.14=35.987, which is approximately 36

At 12 yards per hour, it will take 36/12=3 hours

5 0

3 years ago

Graph the follow in equation

AURORKA [14]

13 and 2 are numbers you could use in graph☺

8 0

3 years ago

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Ya'll fr get 50 points if you answer this. <br> What is the rate of change of <img src="https://tex.z-dn.net/?f=f%28x%29%3D2%5Ex

Evgesh-ka [11]

Answer:

$\dfrac{dy}{dx}=2^x\ln 2$

Step-by-step explanation:

**This is a non-linear function and therefore <u>does not have a constant rate of change</u>. It will have a different slope depending on what points you use in the average rate of change formula: $\mathsf{average \ rate \ of \ change = \dfrac{change \ in \ y}{change \ in \ x}}$

To calculate rate of change, differentiate.

substitute y for $f(x)$ :

$\implies y=2^x$

Take natural logs of both sides:

$\implies \ln y=\ln 2^x$

Apply the log rule $\ln a^b=b \ln a$ :

$\implies \ln y=x\ln 2$

Differentiate with respect to $x$ :

$\implies \dfrac{1}{y} \frac{dy}{dx}=\ln 2$

Mulitply both sides by $y$ :

$\implies \dfrac{dy}{dx}=y\ln 2$

Replace $y$ with $y=2^x$

$\implies \dfrac{dy}{dx}=2^x\ln 2$

Therefore, rate of change of the function is :

$\dfrac{dy}{dx}=2^x\ln 2$

8 0

3 years ago

Triangle DEF (not shown) is similar to ABC shown, with angle B congruent to angle E and angle C congruent to angle F. The length

Bezzdna [24]

Answer:

Area of ΔDEF is $45\ cm^2$ .

Step-by-step explanation:

Given;

ΔABC and ΔDEF is similar and ∠B ≅ ∠E.

Length of AB = $2\ cm$ and

Length of DE = $6\ cm$

Area of ΔABC = $5\ cm^2$

Solution,

Since, ΔABC and ΔDEF is similar and ∠B ≅ ∠E.

Therefore,

$\frac{Area\ of\ triangle\ 1}{Area\ of\ triangle\ 2} =\frac{AB^2}{DE^2}$

Where triangle 1 and triangle 2 is ΔABC and ΔDEF respectively.

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

$\frac{5}{Area\ of\ triangle\ 2} =\frac{2^2}{6^2}\\ \frac{5}{Area\ of\ triangle\ 2}=\frac{4}{36}\\ Area\ of\ triangle\ 2=\frac{5\times36}{4} =5\times9=45\ cm^2$

Thus the area of ΔDEF is $45\ cm^2$ .

4 0

3 years ago

Read 2 more answers

Cuál es la suma de los primeros 30 términos de la sucesión 1,2,3,4​

Cuál es la suma de los primeros 30 términos de la sucesión 1,2,3,4