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3 years ago

Analyze the graph of the exponential decay function. The initial value is.

Mathematics

1 answer:

Alexeev081 [22]3 years ago

7 0

The initial value is equal to x. It is also known as the number out front of the parenthesis.

A=x(1-r)^t

^t means raised to the t(time)

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The perimeter of a parallelogram is 180 cm. One side exceeds the other by 10 cm. What are the lengths of adjacent sides of the p

torisob [31]

The lengths of adjacent sides of the parallelogram are 40 cm and 50 cm.

<h3>What is a parallelogram?</h3>

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

Now, suppose a and be are two sides of parallelogram

Then, Perimeter P = 2( a+ b)

Now, it is given that perimeter of a parallelogram is 180 cm.

⇒ 2( a+ b) = 180

⇒ a + b = 90

It is also given that one side exceeds the other by 10 cm.

⇒ a = b + 10

Putting the value of a in above equation we get,

b + 10 + b = 90

⇒ 2b = 90 - 10

⇒ 2b = 80

⇒ b = 40 cm

Similarly, a = b + 10

⇒ a = 40 + 10

⇒ a = 50 cm

Hence, the required sides of parallelogram are 40cm and 50cm.

More about parallelogram:

brainly.com/question/13126347

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6 0

1 year ago

Find the inverse of this matrix.<br> 1 -1 -1<br> -1 2 3 <br> 1 1 4

zheka24 [161]

Let's use Gaussian elimination. Consider the augmented matrix,

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\-1 & 2 & 3 & 0 & 1 & 0\\1 & 1 & 4 & 0 & 0 & 1\end{array}\right]$

• Add row 1 to row 2, and add -1 (row 1) to row 3:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 2 & 5 & -1 & 0 & 1\end{array}\right]$

• Add -2 (row 2) to row 3:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 2 & 1 & 1 & 0\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

• Add -2 (row 3) to row 2:

$\left[\begin{array}{ccc|ccc}1 & -1 & -1 & 1 & 0 & 0\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

• Add row 2 and row 3 to row 1:

$\left[\begin{array}{ccc|ccc}1 & 0 & 0 & 5 & 3 & -1\\0 & 1 & 0 & 7 & 5 & -2\\0 & 0 & 1 & -3 & -2 & 1\end{array}\right]$

So the inverse is

$\begin{bmatrix}1&-1&-1\\-1&2&3\\1&1&4\end{bmatrix}^{-1} = \boxed{\begin{bmatrix}5&3&-1\\7&5&-2\\-3&-2&1\end{bmatrix}}$

3 0

3 years ago

The answers ......................... to number 4 and the bonus

Flauer [41]

.............................

7 0

3 years ago

At Scobee Middle School, 35% of the seventh graders ride the bus to school. If there are 320 seventh graders, how many 7th grade

anzhelika [568]

Answer: 112 7th graders ride the bus .

Step-by-step explanation:

Given: The proportion of 7th graders ride the bus to school= 35% = 0.35 [to remove % we divide number by 100]

If there are 320 seventh graders, then the number of 7th graders ride the bus = 320 x (proportion of 7th graders ride the bus to school)

$0.35 \times 320$

$= 112$

Hence, 112 7th graders ride the bus .

6 0

2 years ago

Add, simplify the answer and write it as a mixed number

AfilCa [17]

The second answer bubble

8 0

3 years ago