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adell [148]
3 years ago
5

What is the 5th term in the geometric sequence described by this explicit

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Using the explicit formula, then

a₅ = 50 × (-2)^{4} = 50 × 16 = 800 → C

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Tpy6a [65]

Answer:

A

Ratio is 2:1

Step-by-step explanation:

8 0
3 years ago
A grasshopper jumps off a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the
klasskru [66]

Answer:

Hence, Grasshopper will land on the ground after 1.5 sec.

Step-by-step explanation:

It s given that:

The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function:

h(t)=-t^2+\dfrac{4}{3}t+\dfrac{1}{4}

Now we are asked to find:

In how many seconds will the grasshopper land on the ground?

i.e. we have to find the value of t such that h(t)=0

i.e.

-t^2+\dfrac{4}{3}t+\dfrac{1}{4}=0

i.e. we need to find the roots of the given quadratic equation.

On solving the quadratic equation or plotting it's graph we could observe that the point where h(t)=0 are:

t=-\dfrac{1}{6},t=\dfrac{3}{2}

As time can't be negative hence we will consider:

t=\dfrac{3}{2}=1.5sec

Hence, grasshopper will land on the ground after 1.5 sec.

4 0
3 years ago
(NEED HELP ASAP)Determine whether the situation calls for a survey, an observational study, or an experiment. You want to find n
vladimir2022 [97]

Answer: The answer is "experiment."

Step-by-step explanation:

This procedure is being used in order to validate a hypothesis, particularly in a research study. In the situation above, you have to validate whether a new reading program can increase reading comprehension or not.

The experiment consists of independent, dependent, and controlled variables. The independent variables are the ones being changed by the researcher, while the dependent variables tell whether the changes in the independent variable is significant. The controlled variables are the ones that are constant.

The dependent variable above is reading comprehension, while the new reading program is the independent variable. Examples of controlled variables are the ages of the participants. The age directly affects the reading comprehension, thus it has to be considered.

8 0
3 years ago
Simplify -1.5(4x-6)​
Allisa [31]

Answer:

-6x+9

Step-by-step explanation:

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3 years ago
Factor polynomial using distributive property: 7x+49
jok3333 [9.3K]
The answer is:7(x+7)
5 0
3 years ago
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