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3 years ago

Choose the correct answer from the given four options: In an AP, if d = –4, n = 7, an = 4, then a is *

Mathematics

1 answer:

BabaBlast [244]3 years ago

7 0

$a = 28.$

Step-by-step explanation:

${a}n = a + (n - 1)d$

$4 = a + (7 - 1)( - 4)$

$4 = a + 6( - 4)$

$4 = a + ( - 24)$

$4 = a - 24$

$4 + 24 = a$

$28 = a$

(OR)

$a = 28.$

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I need help with this question.

Tamiku [17]

Answer:

51x

Step-by-step explanation:

3x^3 - 7x + 3x^3 + 4x

27x - 7x + 27x + 4x

20x + 31x

51x

3 0

3 years ago

5. I need help with question in the attached picture!

igomit [66]

ANSWER

x=100,y=10

EXPLANATION

The given logarithmic equations are;

$log_{10}( {x}^{2} {y}^{3} ) = 7$

This implies that,

${x}^{2} {y}^{3} = {10}^{7} ...(1)$

and

$log_{10}( \frac{x}{y} ) = 1$

This implies that,

$\frac{x}{y} = {10}^{1}$

$x = 10y...(2)$

Put equation (2) into equation (1)

${(10y)}^{2} {y}^{3} = {10}^{7}$

$10 ^{2} y^{2} {y}^{3} = {10}^{7}$

${y}^{5} = {10}^{5}$

Hence y=10.

This implies

$x = 10(10) = 100$

3 0

3 years ago

The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing

Allushta [10]

The correct value is 720 ft of fencing.

Answer:

Max Area = 64800 sq.ft

Step-by-step explanation:

A square will always give us the maximum area.

Thus, one side would be;

720/4 = 180 feet

So, we want a square 180 ft by 180 ft

however, from the question, we are to use the creek as one side. So, we'll take the 180 ft that we don't need because of the creek and then add it to the opposite side to get 180 + 180 = 360 ft.

Thus,we now have a rectangle with dimensions: 180 ft by 360 ft

Area is given by;

area = length × width

Maximum Area = 180 × 360

Max Area = 64800 sq.ft

6 0

4 years ago

Solve each equation by factoring. (x – 7)(2x - 3) = 0

Orlov [11]

Answer:

x = 7 and 3/2

Step-by-step explanation:

We can say:

x - 7 = 0 and 2x - 3 = 0

Lets solve for x - 7 = 0 first:

Add 7 to each side of "="

=> x = 7

Now lets solve for 2x - 3 = 0

First add 3 to each side of "="

=> 2x = 3

Now divide each side by 2

=> x = 3/2

Hope this helps!

5 0

3 years ago

PLEASE ANSWER QUICKLY! WILL GIVE REWARD!!

Sonja [21]

Answer:

None of the above. 16 3/2 simplified is

Mixed number: 17 1/2

Improper fraction: 35/2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers