All categories

3 years ago

5STARS/BRAINLIEST TO CORRECT ANSWER

Mathematics

1 answer:

Natalija [7]3 years ago

5 0

Your answer is the second option, -3, -6, -12, etc.

The information we are given tells us that a1 = -3 and an = 2 × a(n - 1). This means that if we want to find the value of a2, we just need to substitute -3 into the equation:

a2 = 2 × a1 = 2 × -3 = -6

And then to find a3, we substitute in a2, which in this case is -6, so:

a3 = 2 × a2 = 2 × -6 = -12

The only option with the first 3 terms as -3, -6, -12 is the second option, so that is the answer.

I hope this helps!

You might be interested in

The perimeter of a certain pentagon is 12.5 inches. Four sides of this pentagon have the same length, in inches, m, and the othe

luda_lava [24]

12.5 - 1.5 = 11
11 divide by 4 = 2.75

7 0

3 years ago

Which percent is equivalent to 0.03?

klasskru [66]

The correct answer would be C) 3%

6 0

3 years ago

Read 2 more answers

3x-5(x-5)= -4+2x+1<br><br> Can someone help me out plzzzz

dusya [7]

Answer:

Step-by-step explanation:

So basically first distribute the -5 to the stuff in the parenthesis and then solve.

Hope I helped!! :)

7 0

3 years ago

Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y<35x−1.5 y>35x−1.5

Setler79 [48]

Answer:

y > 0.6x - 1.5

Step-by-step Explanation:

We need two points, to get to the equation of the graph.

Since we've got the following equation for two points (x1, y1), (x2, y2):-

$\boxed{ \mathsf{ \red{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1}) }}}$

okay soo

I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.

one point is <u>(0, -1.5)</u> which lies on the y axis(the point where the dotted line touches the y axis)

other point is <u>(2.5, 0)</u> and this lies on the x axis

placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation

$\mathsf{\implies y - ( - 1.5) = \frac{0 -( - 1.5)}{2.5 -0 } (x -0 )}$

you can take any one as (x1, y1) or (x2, y2).

so upon solving the above equation we get

$\mathsf{\implies (y + 1.5) = \frac{0 + 1.5}{2.5 } (x )}$

$\mathsf{\implies y + 1.5 = \frac{ 1.5}{2.5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ \cancel{1.5}\:\:{}^3}{\cancel{2.5}\:\:{}^5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ 3}{5 } x }$

multiplying both sides by 5

$\mathsf{5y + 7.5 = 3x}$

okay so this is the required equation of the dotted line

now we'll find the inequality

for this check whether the origin (0,0) lies under the shaded region or not

in this case it does

replacing x and y with 0

$\mathsf{\implies5(0) + 7.5 = 3(0)}$

$\mathsf{\implies0 + 7.5 = 0}$

this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality

7.5 is greater than 0! so,

$\mathsf{\implies7.5 > 0}$

this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality

$\mathsf{5y + 7.5 > 3x}$

dividing this inequality by 5, since there's no co-efficient in front of y in the given answers

we get

y + 1.5 > 0.6x

taking 1.5 to the RHS

that is the last option

5 0

3 years ago

Suppose that the number of bacteria in a certain population increases according to an exponential growth model, with a growth ra

podryga [215]

Answer: 5489

Step-by-step explanation:

Given the following :

Growth rate (r) = 19% per hour

Sample culture in population = 2300

Size of sample after 5 hours =?

Using the exponential relation:

P = Po * r^t

P = population after 5 hours

Po = Initial sample population

t = time

P = 2300 * (1 +19%)^t

P = 2300 ×(1 + 0.19) ^5

P = 2300 * 1.19^5

P = 2300 * 2.3863536599

P = 5488.61341777

P = 5489 (nearest integer)

4 0

3 years ago