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yawa3891 [41]
3 years ago
11

A sequence is defined that the first term is 4 and each term after the first term is found by adding 4 5 to the preceding term.

What is the 8th term of the sequence?
Mathematics
1 answer:
inna [77]3 years ago
5 0
The 8th term of the sequence is 9.6
Hope this helped! :)
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A rectangle is growing such that the length of a rectangle is 5t+4 and its height is √t, where t is time in seconds and the dime
Savatey [412]

Answer:

3\sqrt{t} +\frac{2}{\sqrt{t}} square inches per seconds.

Step-by-step explanation:

given that a rectangle is growing such that the length of a rectangle is 5t+4 and its height is √t, where t is time in seconds and the dimensions are in inches

Area of rectangle = length * width

A = \sqrt{t} (5t+4)\\= 5t\sqrt{t} +4\sqrt{t}

To find rate of change of A with respect to t, we can find derivative of A with respect to t.

WE get

\frac{dA}{dt} =5(\frac{3}{2} )\sqrt{t} +\frac{4}{2\sqrt{t} } \\= 3\sqrt{t} +\frac{2}{\sqrt{t}}

Hence rate of change of area with respect to time is

3\sqrt{t} +\frac{2}{\sqrt{t}} square inches per seconds.

4 0
4 years ago
What Is 0.0000724 in standard form​
dybincka [34]

Answer:

7.24 * 10^-5

Step-by-step explanation:

3 0
3 years ago
What is 3c+2(2c+5)=3 solve What is d-15.6=2d-556.3 solve What is 9b-10=2(3b+4) solve Please help me 20 points
Roman55 [17]

Answer:

3c+2(2c+5)=3 c=-1

d-15.6=2d-556.3 d=540.7

9b-10=2(3b+4) b =6

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 116.4-cm and a standard dev
Katarina [22]

Answer:

The probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is 0.65173.

Step-by-step explanation:  

Step-by-step explanation:  

We are given that a company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2 cm and a standard deviation of 2.1 cm. For shipment, 17 steel rods are bundled together.  

Let  = the average length of rods in a randomly selected bundle of steel rods  

The z-score probability distribution for the sample mean is given by;  

 

                         Z  =    ~ N(0,1)

where,  = population mean length of rods = 259.2 cm

           = standard deviaton = 2.1 cm

          n = sample of steel rods = 17

Now, the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is given by = P( > 259 cm)

 

    P( > 259 cm) = P(  >  ) = P(Z > -0.39) = P(Z < 0.39)

                                                               = 0.65173

The above probability is calculated by looking at the value of x = 0.39 in the z table which has an area of 0.65173.

3 0
3 years ago
Read 2 more answers
A truck travels a constant speed of 20m/s . It then decelerates to rest in ten seconds. Find the total distance travelled by the
Darya [45]
In the first 10 seconds it is 200m
In the next 10 seconds (it is decelerating 2m/s every second) it is 100m

200m+100m=300m

300 meters is the answer
5 0
3 years ago
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