Write an equation and solve. Round to the nearest hundredth where necessary.

The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She

Vinil7 [7]

Answer:

$128\text{ ft}^{2}$

Step-by-step explanation:

We have been given that the area of a square is given by $x^2$ , where x is the length of one side.

Mary's original garden was in the shape of a square. She has decided to double the area of her garden. So the new area of Mary's garden will be 2 times the area of original garden.

We can represent this information in an equation as:

$\text{Area of Mary's new garden}=2x^{2}$

Therefore, the expression $2x^2$ will represent the area of Mary's new garden.

To evaluate the area of new garden, if the side length of Mary's original garden was 8 feet, we will substitute x equals 8 in our expression.

$\text{Area of Mary's new garden}=2(8\text{ ft})^{2}$

$\text{Area of Mary's new garden}=2*64\text{ ft}^{2}$

$\text{Area of Mary's new garden}=128\text{ ft}^{2}$

Therefore, the area of Mary's new garden will be 128 square feet.

4 0

3 years ago

Sven shoots a cannon ball out of a cannon and the path of the ball is modeled in the graph. After 8 seconds how high is the cann

DedPeter [7]

Answer:

20 feet

Step-by-step explanation:

7 0

3 years ago

Help me with this please

bekas [8.4K]

Answer:

f(-5) = 4(-5) + 1 = -20 + 1 = -19

f(-1) = 4(-1) + 1 = -4 + 1 = -3

f(2) = 4(2) + 1 = 8 + 1 = 9

f(3) = 4(3) + 1 = 12 + 1 = 13

f(5) = 4(5) + 1 = 20 + 1 = 21

7 0

2 years ago

200 σ j=1 2j( j 3) describe the steps to evaluate the summation. what is the sum?

ziro4ka [17]

The sum of the equation is = 5494000.

<h3>What does summation mean in math?</h3>

The outcome of adding numbers or quantities mathematically is a summation, often known as a sum. A summation always has an even number of terms in it. There may be just two terms, or there may be 100, 1000, or even a million. Some summations include an infinite number of terms.

<h3>Briefing:</h3>

Distribute 2j to (j+3).

Rewrite the summation as the sum of two individual summations.

Evaluate each summation using properties or formulas from the lesson.

The lower index is 1, so any properties can be used.

The sum is 5,494,000.

<h3>Calculation according to the statement:</h3>

$\sum_{j=1}^{200} 2 j(j+3)$