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elena-s [515]
3 years ago
12

If third term of G.P. is 3, the product of its first five terms is

Mathematics
1 answer:
avanturin [10]3 years ago
8 0
Answer: 243

Third term of g.p. = ar^2 =3

General term = ar^n-1

Product of first five terms
= a^5 x r^0+1+2+3+4
= a^5 x r^10
= (ar^2)^5
=(3)^5
= 243

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3 years ago
Find the number, d, if the sum of five times d and five times five is a<br> hundred.
Gelneren [198K]

The value of d from the given expression is 15

<h3>Word problem leading to equation</h3>

From the given statement the sum of five times d and five times five is a

hundred is interpreted as;

5d + 5(5) = 100

5d + 25 = 100

Subtract 25 from both sides

5d = 100 - 25

5d = 75

d =15

Hence the value of d from the given expression is 15

Learn more on word problem here: brainly.com/question/13818690

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6 0
1 year ago
I’m stuck can some one help me
abruzzese [7]

Answer:

3) Midpoint is (-4,0.5)

Option A is correct.

4) Midpoint is (2.5,0)

Option B is correct.

5) The factors are (x+4)(x-7)

Option C is correct.

6) The factors are (x+4)(x+2)

Option A is correct.

Step-by-step explanation:

Question 3

Find midpoint of the following:

(2,-7), (-10,8)

The formula used to find midpoint is: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

We have x_1=2, y_1=-7, x_2=-10,y_2=8

Putting values and finding midpoint

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2-10}{2},\frac{-7+8}{2} )\\Midpoint=(\frac{-8}{2},\frac{1}{2} )\\Midpoint=(-4,0.5 )

So, Midpoint is (-4,0.5)

Option A is correct.

Question 4

Find midpoint of the following:

(2,-10), (3,10)

The formula used to find midpoint is: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

We have x_1=2, y_1=-10, x_2=3,y_2=10

Putting values and finding midpoint

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2+3}{2},\frac{-10+10}{2} )\\Midpoint=(\frac{5}{2},\frac{0}{2} )\\Midpoint=(2.5,0 )

So, Midpoint is (2.5,0)

Option B is correct.

Question 5

Factor each completely

x^2-3x-28

We will break the middle term and find factors

x^2-3x-28\\=x^2-7x+4x-28\\Taking\:common\\=x(x-7)+4(x-7)\\=(x+4)(x-7)

So, the factors are (x+4)(x-7)

Option C is correct.

Question 6

Factor each completely

x^2+6x+8

We will break the middle term and find factors

x^2+6x+8\\=x^2+4x+2x+8\\=x(x+4)+2(x+4)\\=(x+4)(x+2)

So, the factors are (x+4)(x+2)

Option A is correct.

7 0
2 years ago
How much candy will each person get if 5 people share 6 1/2 pounds of Swedish fish.
Ierofanga [76]

Answer:

1 3/10 pounds of candy. Or around 1 pound

Step-by-step explanation:

6 1/2= 6.5

6.5/5=1.3

1.3 as a fraction is 1 3/10

3 0
3 years ago
Which number is in the solution set of the inequality 4x + 4 &gt; 36
nata0808 [166]

Step-by-step explanation:

4x > 36-4

4x > 32 (divide both sides of the inequality by 4 )

4x ÷ 4 > 32 ÷ 4

x > 8

5 0
3 years ago
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