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2 years ago

5

A rectangular parking lot is enclosed by concrete barriers 5 feet long. There are 160 barriers in total. Determine the maximum a

rea that can be enclosed.

1 answer:

LuckyWell [14K]2 years ago

6 0

Well you just multiply 5 by 160 and get 800ft

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For the equation ae^ct=d, solve for the variable t in terms of a,c, and d. Express your answer in terms of the natural logarithm

saveliy_v [14]

We have been given an equation $ae^{ct}=d$ . We are asked to solve the equation for t.

First of all, we will divide both sides of equation by a.

$\frac{ae^{ct}}{a}=\frac{d}{a}$

$e^{ct}=\frac{d}{a}$

Now we will take natural log on both sides.

$\text{ln}(e^{ct})=\text{ln}(\frac{d}{a})$

Using natural log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$ct\cdot \text{ln}(e)=\text{ln}(\frac{d}{a})$

We know that $\text{ln}(e)=1$ , so we will get:

$ct\cdot 1=\text{ln}(\frac{d}{a})$

$ct=\text{ln}(\frac{d}{a})$

Now we will divide both sides by c as:

$\frac{ct}{c}=\frac{\text{ln}(\frac{d}{a})}{c}$

$t=\frac{\text{ln}(\frac{d}{a})}{c}$

Therefore, our solution would be $t=\frac{\text{ln}(\frac{d}{a})}{c}$ .

5 0

2 years ago

Please consider the following data set. The initial row provides labels for two variables (i.e., X1 and X2). Each subsequent row

LekaFEV [45]

Answer:

There is no significant difference between the means.

Step-by-step explanation:

Given is the data set for X1 and x2 are we have to do a paired t test.

$H_0: \bar X_1 = \bar X_2\\H_a: \bar X_1 \neq \bar X_2$

(Two tailed test at 5% significance level)

Mean difference = 1.00

Std error for difference = 1.225

df=4

Test statistic = mean diff/se = 1.826

p value =0.142

Since p >0.05 our alpha we accept H0

There is no significant difference before and after averages at 5% sign. level.

3 0

2 years ago

The coordinates of the vertices of the triangle are (–8, 8), (–8, –4), and . Consider QR the base of the triangle. The measure o

Mademuasel [1]

The coordinates of the vertices of the triangle are
(–8, 8), (–8, –4), and<span> (10, –4)</span>.

Consider QR the base of the triangle. The measure of the base is b = 18 units, and the measure of the height is h = <span>12</span> units.

The area of triangle PQR is<span>108</span> square units.

4 0

2 years ago

Read 2 more answers

16x^2-24x+7=0 equation and/or inequalities

Ivenika [448]

It is quadratic equation.
First we have find delta given by formula: delta= $b^{2}-4ac$
where our
a=16
b=-24
c=7
so, delta= $24^{2}-4*16*7=128$
Because delta is positive, there is real results.
Now we can use next formula x= $\frac{-b+ \sqrt{delta} }{2a}$
, to find roots (results, 2 results because its quadratic equation and delta is greater than 0)
x1= $\frac{24+ \sqrt{128} }{2*16} = \frac{3+ \sqrt{2} }{4}$
x2= $\frac{24- \sqrt{128} }{2*16} = \frac{3- \sqrt{2} }{4}$

5 0

2 years ago

Read 2 more answers

Rectangle lmno is rotated 90 degrees clockwise around the origin to create l’m’n’o which statement best describes the relationsh

vova2212 [387]

Answer:

The correct option is A: they are equidistant from origin

Step-by-step explanation:

Since the rotation is performed around the fixed axis on its origin, there will not be any change to the distances between the origin and the point n or n'. The size of the rectangle has neither increased or decreased so, it cannot be possible that the distance between the origin and the point n could change after the object is rotated.

Hope that answers the question, have a great day!

4 0

2 years ago