Bruce takes out a personal loan of $1,000

These are the first four terms of a sequence. 3 -1 -5 -9. Find the nth term.

podryga [215]

Answer:

4n-1

Step-by-step explanation:

Diffrence bweetween each number, 3 and -1, -1 and -5, -5 and -9 is 4

4n

find the closest numbers

4*1=4

4*0=0

4*-1=-4

4*-2=-8

now we figure out how to make these numbers into our terms of this sequence

4n-1

4*1-1=3

4*0-1=-1

4*-1-1=-3

4*-2-1=-9

so the nth term is 4n-1

4 0

2 years ago

B Christian installed an electric pump to pump water from a borehole into a 30 000 litre cement dam. If the water is pumped at a

skelet666 [1.2K]

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

Given that;

Amount of water needed to fill the dam A = 30000 litres
Pump rate r = 75 litres per minute
Time needed to fill the dam T = ?

To determine how long it take to fill the dam, we say;

Time need = Amount of water needed ÷ Pump rate

T = A ÷ r

T = 30000 litres ÷ 75 litres/minute

T = 400 minutes

Note that; 60min = 1hrs

Hence,

T = 6hours 40minutes

Given the amount of water needed to fill the cement dam and the water pump rate, the time needed to fill the dam is 400 minutes or 6hours 40minutes.

Option B)6h 40min is the correct answer.

Learn more word problems here: brainly.com/question/2610134

#SPJ1

8 0

2 years ago

Find the mean, range, and interquartile range of the heights of plants given

Artist 52 [7]

Answer:

Mean = 30.9

Range = 80

Interquartile Range = 36

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms. In other words that means 2, 22, 4, 36, 82, 44, 65, 30, 8, 16 go over a fraction like this. There are 10 numbers here so this is our denominator.

$\frac{2+ 22 + 4 + 36 + 82 + 44 + 65 + 30 + 8 + 16}{10}$

$\frac{309}{10} > 30.9$

For the range, all we do is subtract the minimum value from the maximum which is 82 - 2. That gives us 80.

For the IQ Range....

Arrange the terms in ascending order.

2, 4, 8, 16, 22, 30, 36, 44, 65, 82

Then we need to find the median which is the average of the two middle terms.

$\frac{22+30}{2} > \frac{2*11 + 30}{2} >\frac{2*11+2*15}{2} > \frac{2 * (11 + 15)}{2} > 11 + 15 > 26$

So for the lower half of data 2, 4, 8, 16, 22 we have the median of 8

And for the upper half 30, 36, 44, 65, 82 we have the median of 44.

To find the IQ Range it is the difference between the first quartile (8) and the third (44)

So 44 - 8 = 36

7 0

2 years ago

Read 2 more answers

If tan of theta =3/4 what is sec of theta

zhannawk [14.2K]

Answer:

Step-by-step explanation:

Given :

tanθ = 3/4 = opposite/adjacent

Finding the missing side :

The hypotenuse must be found
√3² + 4²
√25
5

Taking the sec ratio :

secθ = hypotenuse/opposite
secθ = <u>5/4</u>

7 0

2 years ago

340 students went to the first school dance, the last school dance 306 students attended. What is the percent of change between

Fofino [41]

Answer:

10.59%

Step-by-step explanation:

percentage of change is given by

{(old number - new number)/old number} * 100

_________________________

given

no. of student went to the first school dance = 340

no. of student went to the last school dance = 306

Percentage of change between two dance

= ((no. of student went to the first school dance - no. of student went to the last school dance)/ no. of student went to the fist school dance)*100

= (340 - 306)/340 *100

= (36/340 )*100 = 10.59%

The percent of change between the two dances 10.59%.

4 0

4 years ago