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3 years ago

11

Consider the arithmetic sequence 13, 24, 35, ....

1 answer:

Nostrana [21]3 years ago

4 0

Answer: 27

Step-by-step explanation:

The given sequence : 13, 24, 35, ....

Here, first term : a= 13

Common difference: d=24-13 =11

The nth term of arithmetic sequence is given by :-

$a_n=a+(n-1)d$

It is given that the nth term is 299, so put $a_n=299, a=13 ; d=11$

$299=13+(n-1)11$

Subtract 13 from both sides , we get

$286=(n-1)11$

Divide both sides by 11, we get

$26=n-1$

Add 1 on both sides , we get

$n=27$

Hence, the value of n= 27

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Pls help find the amount at the end of 6 hours

marshall27 [118]

Answer:

A. 7,348

Step-by-step explanation:

P = le^kt

intitial population = 500

time = 4 hrs

end population = 3,000

So we have all these variables and we need to solve for what the end population will be if we change the time to 6 hours. First, we need to find the rate of the growth(k) so we can plug it back in. The given formula shows a exponencial growth formula. (A = Pe^rt) A is end amount, P is start amount, e is a constant that you can probably find on your graphing calculator, r is the rate, and t is time.

A = Pe^rt

3,000 = 500e^r4

now we can solve for r

divide both sides by 500

6 = e^r4

now because the variable is in the exponent, we have to use a log

$log_{e}(6) = 4r$

ln(6) = 4r

we can plug the log into a calculator to get

1.79 = 4r

divide both sides by 4

r = .448

now lets plug it back in

A = 500e^(.448)(6 hrs)

A = 7351.12

This is closest to answer A. 7,348

4 0

3 years ago

A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears

arsen [322]

Answer:

The correct answer is "0.0000039110".

Step-by-step explanation:

The given values are:

$Y_n\rightarrow N(\mu, \sigma^2)$

$\mu = 40n$

$\sigma^2=100n$

$n=20$

then,

The required probability will be:

= $P(Y_{20}>1000)$

= $P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )$

= $P(Z>\frac{1000-800}{44.7214} )$

= $P(Z>\frac{200}{44.7214} )$

= $P(Z>4.47)$

By using the table, we get

= $0.0000039110$

6 0

3 years ago

PLS HELP ME GUYS I NEED HELP WITH GEOMETRY

Alekssandra [29.7K]

Answer:

7, -21

Step-by-step explanation:

F could be located 14 to the left of -7 or 14 to the right of -7. 7 and -21 could be the possible locations of F.

6 0

4 years ago

You want to give your friend a soccer ball for a gift. The soccer ball has a

Ede4ka [16]

Answer:

volume of cube share box = 67.92 inch²

Step-by-step explanation:

given data

soccer ball volume = 85.3π cubic inches

solution

we know that ball will fit inside the box when box length will be equal to diameter of ball

and here soccer ball volume will be express as

soccer ball volume = $\frac{4}{3}\times \pi \times r^3$ .................1

85.3π = $\frac{4}{3}\times \pi \times r^3$

solve it we get

r³ = 69.9765

r = 4.12 inch

so diameter = 2 × 4.12 = 8.24 inch

diameter = length of box side

volume of cube share box = a²

volume of cube share box = 8.24²

volume of cube share box = 67.92 inch²

6 0

3 years ago

Pls helpp me on this

Crank

Answer:8

Step-by-step explanation:

When you round it depends on what number it is.

So for 7.8 it is closer to eight not seven

8 0

2 years ago

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