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2 years ago

4. Six numbers are shown.

Mathematics

1 answer:

Reptile [31]2 years ago

7 0

Step-by-step explanation:

sorry i couldn't solve the last and the last second one

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A driveway 18 ft wide and 36 ft. long is to be paved with concrete 3 in. thick. How many cubic yards of concrete are required?

amm1812

Answer:

6 yds^3

Step-by-step explanation:

I find these easiest if you put all of the dimensions into yards and then multiply

18 ft = 6 yds

36 ft = 12 yds

3 in = 3/36 yds = 1/12 yds now multiply them together

6 x 12 x 1/12 = 6 yds^3

8 0

1 year ago

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t

Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

<h3>What is sequence ?</h3>

Sequence is collection of numbers with some pattern .

Given sequence

$a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20$

We can see that

$\frac{a_1}{a_2}=\frac{-10}{5}=-2\\$

and

$\frac{a_2}{a_3}=\frac{20}{-10}=-2\\$

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now $n^{th}$ term of this Geometric progression can be written as

$T_{n}= 5\times(-2)^{n-1}$

So summation of 15 terms can be written as

$\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

To learn more about Geometric progression visit : brainly.com/question/14320920

8 0

2 years ago

What is B-CF?

Sholpan [36]

I'm guessing on the make up of the matrices.
First off let's look at [C][F].
[C]=
[F]=
[C][F]=
where each element of [C][F] comes from multiplying a row of [C] with a column of [F].
Example: First element is product of first row and first column.

.
.
.
Now that we have [C][F], we can subtract it from [B], element by element,

[B]-[C][F]=
[B]-[C][F]=
.
.
.
If this is not how the matrices look,please re-state the problem and be more specific about the make up of the matrices (rows x columns).
Here's an example.
[A] is a 2x2 matrix. A=[1,2,3,4].
The assumption is that [A] looks like this,
[A]=
[B] is a 3x2 matrix. B=[5,6,7,8,9,10]
[B]=

7 0

3 years ago

Hardy has three times as many tennis balls as kerns. They have 940 tennis balls in all. How many tennis balls does Hardy have th

topjm [15]

Answer:

Hardy has 470 more tennis balls than Kerns.

Step-by-step explanation:

Given that:

Total number of tennis balls = 940

Let,

x represents the number of tennis balls Hardy has.

y represents the number of tennis balls Kerns has.

According to given statement,

x+y=940 Eqn 1

x = 3y Eqn 2

Putting x = 3y in Eqn 1

3y+y=940

4y=940

Dividing both sides by 4

$\frac{4y}{4}=\frac{940}{4}\\y=235$

Putting y=235 in Eqn 2

x = 3(235)

x = 705

Difference = Hardy's tennis balls - Kerns' tennis balls

Difference = 705 - 235 = 470

Hence,

Hardy has 470 more tennis balls than Kerns.

3 0

3 years ago

13) -4= -b -1/3b and -23/3= 1/2a + 5/3a

Sergeeva-Olga [200]

-4=-1b-(1/3)b

-4=-(4/3)b

-4/-(4/3)=b

b=3

-------------------------------

(1/2)3+(5/3)2

3/6+10/6=13/6

-23/3=13/6a

(-23/3)/(13/6)=a

a=-46/13

7 0

2 years ago