All categories

2 years ago

Use an exponential expression to calculate the area covered by purple loosestrife 7 years from now. Is this a valid

Mathematics

2 answers:

Bezzdna [24]2 years ago

6 0

The area of the wetland that will be covered in purple loosestrife 7 years from now is modeled by this expression.

500(1.2)^7

After evaluating the expression, the model predicts that approximately 1,792 acres of the wetland will be covered in purple loosestrife 7 years from now. This is not a valid prediction because the total area of the wetland is only 1,240 acres. So a constraint on the model is that the value of the expression 500(1.2)^t must be less than or equal to 1,240.

uranmaximum [27]2 years ago

4 0

Answer: 500(1.2)^7

Step-by-step explanation:

PLATO

You might be interested in

The rectangle has length 8 cm and area 48 cm2.

marishachu [46]

Step-by-step explanation:

Given,

length of rectangle(l)= 8cm

area of rectangle(A) = 48cm2

breadth of rectangle(b) = ?

Perimeter of rectangle (P)=?

We know ,

Area of rectangle(A) = l×b

or, 48cm2 = 8cm×b

or, 48cm2 = 8bcm

or, 48cm2/8cm = b

or, 6cm = b

or, b = 6cm

therefore, b = 6cm

Perimeter of rectangle (P) = 2(l+b)

= 2(8cm+6cm)

= 2×14cm

= 28cm

therefore, Perimeter of rectangle(P) = 28cm

Now,

According to the question,

Perimeter of rectangle(P) = Perimeter of square(P)

So,

Perimeter of square(P) = 28cm

length of square(l) = ?

Area of square (A) = ?

We know,

Perimeter of square (P) = 4l

or, 28cm = 4l

or, 28cm/4 = l

or, 7cm = l

or, l = 7cm

therefore, l = 7cm

Now,

Area of square (A) = l^2

= (7cm)^2

= 7cm×7cm

= 49cm^2

therefore, area of square (A)= 49cm^2

3 0

2 years ago

How do I solve this

solniwko [45]

There is your answer

3 0

3 years ago

Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n equals

Alekssandra [29.7K]

Answer:

(0.767,0.833)

Step-by-step explanation:

The 95% confidence interval for population proportion p can be computed as

$p-z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }$

The z-value associated with 95% confidence level is 1.96.

whereas p=x/n

We are given that x=440 and n=550.

p=440/550=0.8

$0.8-1.96\sqrt{\frac{0.8(0.2)}{550} }$

$0.8-1.96\sqrt{\frac{0.16}{550} }$

$0.8-1.96\sqrt{0.00029 }$

$0.8-1.96(0.01706)$

$0.8-0.03343$

$0.76657$

Thus, the required confidence interval is

0.767<P<0.833 (rounded to 3 decimal places)

Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)

3 0

3 years ago

A scuba diver swam 96 feet beneath the surface of the lake.he then climb up 49 feet .wat is the depth now?

lakkis [162]

Answer:

The depth now is 47 feet below the surface of the lake

Step-by-step explanation:

Step 1: Determine initial depth

Initial depth=surface level-depth below surface

where;

Surface level=0, since its the point of reference

depth below surface=96 feet

replacing;

Initial depth=(0-96)=-96 feet

Step 2: Final depth

Final depth=Initial depth+distance covered

where;

Initial depth=-96 feet

distance covered=+49 feet since the scuba driver moves towards the surface

replacing;

distance covered=-96+49=-47 feet

The depth now is 47 feet below the surface of the lake

5 0

3 years ago

Find the total surface area of this cuboid

Harman [31]

Step-by-step explanation:

☄ $\underline{ \underline{ \sf{Given}}}:$

Length ( l ) = 4 cm
Width ( w ) = 2 cm
Height ( h ) = 5 cm

☄ $\underline{ \underline{ \sf{To \: find}}} :$

Total surface area of a cuboid

❅ $\underline{ \underline{ \text{Solution}}}:$

✑ $\boxed{ \text{TSA = 2lw + 2lh + 2hw}}$

Plug the known values :

⟼ $\sf{2 \times 4 \times 2 + 2 \times 4 \times 5 + 2 \times 5 \times 2}$

⟼ $\sf{16 + 40 + 20}$

⟼ $\boxed{\sf{76 \: {cm}}^{2} }$

$\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : 76 \: {cm}}^{2} }}}$

Hope I helped !♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

4 0

2 years ago