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2 years ago

Simplify this expressions

Mathematics

1 answer:

Nostrana [21]2 years ago

7 0

Answer:

$\frac{36}{3 } = 12$

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The 4th term in a geometric sequence is -15, the 5th term is 45 and the 6th term is -135. Find the sum of the first 7 terms.

Andreas93 [3]

Answer:

d) 303 8/9

Step-by-step explanation:

4th term = ar^3 and 5th = ar^4 where a = first term and r = common ratio.

So ar^4 / ar^3

= r = 45/-15 = -3.

Working back,:

The first term a = ar^3/ r^3

= -15 / (-3)^3

= -15/-27

= 5/9

Sum of n terms = a * (r^n - 1)/(r-1)

= 5/9 * ((-3)^7 - 1 ) / (-3 -1)

= 303 8/9

3 0

1 year ago

Read 2 more answers

Refer to the chart, and then use the drop-down menu to complete each statement

Gwar [14]

1. is increasing
2.40
3.40
i checked on edgeunity these are correct hope this helped.:) <span />

8 0

2 years ago

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A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29

Alchen [17]

Answer

Find out the what is the surface area of the pyramid .

To proof

Formula

Surface area of a square pyramid

$= a^{2} + 2a \sqrt{\frac{a^{2}}{4} +h^{2}$

Where a is the base edge and h be the height .

As given

A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29 inches.

i.e Base edge = 40 inches

Height = 21 inches

Put values in the above formula

$= 40^{2} + 2\times40\times\sqrt{\frac{40^{2}}{4} +21^{2}$

solving

$= 1600 + 80 \sqrt{\frac{1600}{4} + 441$

$= 1600 + 80\times\sqrt{841}$

$\sqrt{841} = 29$

= 1600 + 80 × 29

= 3920 inches²

Therefore the surface area of the pyramid is 3,920 inches²

Hence proved

4 0

2 years ago

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A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walkercharge for a 45 minute w

leonid [27]

hello

from the question given, the dog walker charges a flat rate of $6 and an extra $30 per hour.

we can write out an equation in function notation

let the number of hours be represented by x

$f(x)=6+30x$

now we can proceed to solve the cost of the walk for 45 minutes

$\begin{gathered} 1hr=60\min s \\ \text{xhr}=45\min s \\ x=\frac{45}{60} \\ x=\frac{3}{4} \\ \text{therefore 45mins = 3/4 hours} \end{gathered}$

now we can input the value into the equation and know the cost for 45 minutes walk

$\begin{gathered} f(x)=6+30x \\ x=\frac{3}{4} \\ f(x)=6+30(\frac{3}{4}) \\ f(x)=6+22.5 \\ f(x)=28.5 \end{gathered}$

from the calculation above, the cost of 45 minutes walk will cost $28.5

6 0

7 months ago

What is the solution of each equation 4z=20: z=5 z=2 z=7 z=6

uysha [10]

Answer:

43/6=z

Step-by-step explanation:

6 0

2 years ago