Help me agian plesase

Help Me Agian Plesase

Answers

Answer 1

Answer:

43.68cm²

Step-by-step explanation:

area of a parallelogram=base×height

8.4cm×5.2cm

43.68cm²

Answer 2

Answer:

A= 43.68 cm²

Step-by-step explanation:

Area of Parallelogram =  base × height

Step 1: Plug in the values ⇒  A= 8.4 × 5.2

Step 2: Simplify ⇒ A= 43.68

Step 3: Units ⇒ A= 43.68 cm²


Related Questions

PLEASE HELP I NEED TO GRADUATE :D

Answers

Answer:

b is the answer

Step-by-step explanation:

In January of 2003(group 1), 1188 out of 1500 spots were bare ground (no vegetation). Find the sample proportion of bare ground spots.

Answers

Answer:

[tex] n= 1500[/tex] represent the random sample selected

[tex] X= 1188[/tex] represent the number of pots that were bare ground (no vegetation

[tex]\hat p=\frac{X}{n}[/tex]

And replacing we got:

[tex] \hat p=\frac{1188}{1500}= 0.792[/tex]

So then the sample proportion of bare ground spots is 0.792 for this sample

Step-by-step explanation:

We have the following info given from the problem:

[tex] n= 1500[/tex] represent the random sample selected

[tex] X= 1188[/tex] represent the number of pots that were bare ground (no vegetation)

And for this case if we want to find the sample proportion of bare ground spots we can use this formula:

[tex]\hat p=\frac{X}{n}[/tex]

And replacing we got:

[tex] \hat p=\frac{1188}{1500}= 0.792[/tex]

So then the sample proportion of bare ground spots is 0.792 for this sample

Talk about why you think it is sometimes important to represent a procedure mathematcally. Give an example in life that a mathematcal procedure helped you solve a problem. In this procedure, what is independent quanity, what is dependent quanity?

Answers

Answer:

See Explanation

Step-by-step explanation:

Representing a procedure mathematically enables us to model life situations, solve for the unknown variables, and interpret back into the given situation for implementation.

A typical example is determining the gallons of gasoline a car would consume at a certain speed.

In this example, the independent variable is the driving speed, and the dependent variable is the gasoline consumption.

Gasoline consumption will either increase or decrease based on the speed of the car. The speed of the car is not affected by gasoline consumption.

A new landowner has a triangular piece of flat land she wishes to fence. Starting at the first corner, she measures the first side to be 5.7 m long and is directed 0.3 radians north of east. From the second corner, the second side is 9 m long and is directed 0.9 radians west of north. What is the length of the third side of the fence?

Answers

Answer:

The length of the third side of fence is 11.4 m

Step-by-step explanation:

Solution:-

- We are to mow a triangular piece of land. We are given the description of motion and the orientation of land-mower while fencing.

- From one corner of the triangular land, the land-mower travels H1 = 5.7 m at θ1 = 0.3 radians north of east. We will use trigonometric ratios to determine the amount traveled ( B1 ) in the east direction.

                                  [tex]cos ( theta_1 ) = \frac{B_1}{H_1}[/tex]

Where,

                          B1: Is the base length of the right angle triangle

                          H1: Hypotenuse of the right angle triangle

Therefore,

                                [tex]B_1 = H_1*cos ( theta_1 )\\\\B_1 = 5.7*cos ( 0.3 )\\\\B_1 = 5.44541 m[/tex]

- Similarly, from the other corner of the triangular land. The land-mower moves a lateral distance of H2 = 9m and directed θ2 = 0.9 radians north of west. We will use trigonometric ratios to determine the amount traveled ( B2 ) in the west direction.

                                [tex]cos ( theta_2 ) = \frac{B_2}{H_2} \\[/tex]

Where,

                          B2: Is the base length of the right angle triangle

                          H2: Hypotenuse of the right angle triangle

Therefore,

                                 [tex]B_2 = H_2*cos ( theta_2 )\\\\B_2 = 9*cos(0.9)\\\\B_2 = 5.59448 m[/tex]

- The total length of the third side of the fence would be the sum of bases of the two right angles formed by the land-mower motion at each corner.

                                [tex]L = B_1 + B_2\\\\L = 5.44541 + 5.59448\\\\L = 11.4 m[/tex]

Solve the system of equations for the variables: x+2y-z=3 x+y-2z= -1

Answers

Answer:

z=0

x= -5

y=4

Step-by-step explanation:

Check the attachment please

Hope this helps :)

Step-by-step explanation:

x + 2y − z = 3

x + y − 2z = -1

There are three variables but only two equations, so this system of equations is undefined.  We cannot solve for the variables, but we can eliminate one of them and reduce this to a single equation.

Double the first equation:

2x + 4y − 2z = 6

Subtract the second equation.

(2x + 4y − 2z) − (x + y − 2z) = (6) − (-1)

2x + 4y − 2z − x − y + 2z = 7

x + 3y = 7

Determine whether the given value is from a discrete or continuous data set. When a car is randomly selected, it is found to have 8 windows. Choose the correct answer below. A. A discrete data set because there are a finite number of possible values. B. A continuous data set because there are infinitely many possible values and those values cannot be counted. C. A continuous data set because there are infinitely many possible values and those values can be counted. D. The data set is neither continuous nor discrete.

Answers

Answer:

A discrete data set because there are a finite number of possible values.

Step-by-step explanation:

We are given the following data set below;

When a car is randomly selected, it is found to have 8 windows.

Firstly, as we know that the discrete data is that data that have countable or finite values, and also we can observe at a point value.

On the other hand, the continuous data is that data in which there is a range of values and we can't count or observe each and every value.

So, in our question; as we can observe that we can count all the windows and it is also a finite number which means that the given data set is a discrete data set because there are a finite number of possible values.

PLS HELP ASAP!!!!........

Answers

Answer:

aaaaha pues

Step-by-step explanation:

Answer:

what happened

Step-by-step explanation:

(0, 3) and (-2, -1)
Write an equation in slope intercept from of the line that passes through the given points.

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

m = (-1 - 3)/(-2 - 0)

m = -4/-2

m = 2

y = 2x + b

Step 2: Rewrite equation

y = 2x + 3

*You are given y-intercept (0, 3), so simply add it to your equation.


An organization will give a prize to a local artist. The artist will be randomly chosen from among 11 painters, 3 sculptors, and 5 photographers. What is the
probability that the artist chosen will be a sculptor or a photographer?
Write your answer as a fraction in simplest form.

Answers

Answer: 8/19

Work Shown:

3 sculptors + 5 photographers = 8 of either

this is out of 11+3+5 = 19 artists total

the probability of getting a sculptor or photographer is 8/19

What number must you add to complete the square?
X^2 + 8x= 11
A. 12
B. 16
c. 8
D. 4​

Answers

Answer:

16

Step-by-step explanation:

X^2 + 8x= 11

Take the coefficient of x

8

Divide by 2

8/2 =4

Square it

4^2 = 16

Add 16 to each side

you are given an 8-gallon jug filled with water and also two empty jugs: one that holds 5 gallons and other that holds 3 gallons. Using these three jugs, how much can you measure exactly 4 gallons of water. Explain

Answers

Answer:

Step-by-step explanation:

We will use following steps to measure exactly 4 gallons of water with the help of 5 gallons and 3 gallons empty jugs.

1). Fill 3 gallons jug completely.

2). Pour this 3 gallons of water into 5 gallons jug. Now we have 3 gallons of water in 5 gallons jug and 3 gallons jug empty.

We can add 2 gallons of water in the empty space of 5 gallons jug more.

3). Fill the 3 gallons jug with the water again.

4). Pour this water into 5 gallons jug which can hold 2 gallons of water more.

Now we have 5 gallons of jug filled fully and 1 gallon water remaining in the 3 gallons jug.

5). Empty the 5 gallons jug completely.

6). Pour the remaining 1 gallon of remaining water in 3 gallons jug into 5 gallons jug.

7). Fill the 3 gallons jug completely and pour it into 5 gallon jug.

8). Finally we have 4 gallons of water in the 5 gallons jug.

How does an earthquake of magnitude 7.8 compare in intensity with an earthquake of magnitude 3.7 on the Richter scale? Round to the nearest whole number.

Answers

Answer:

1000 * 10th sqrt of 10 or about 12589 times more powerful?

Step-by-step explanation:

Answer:v 31623

Step-by-step explanation:

Two vehicles begin traveling at the same time. Vehicle A travels at 45
miles per hour (MPH) for two hours. Vehicle B travels at 80 MPH for
one hour. Which vehicle travels the farthest, and how much farther
does it travel?

Answers

Answer:

The answer is A because 45x2= 90 miles and 80×1 = 80 miles and 90-80= 10 so Vehicle A travels 10 miled farther than Vehicle B. Hope that helps!

Vehicle which travels the farthest is vehicle A and the distance it travels farther is 10 miles.

What is Speed?

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Speed of vehicle A = 45 miles per hour

Speed of vehicle B = 80 miles per hour

Vehicle A travels for 2 hours.

Total distance travelled = Speed × Time = 45 × 2 = 90 miles

Vehicle B travels for 1 hour.

Distance travelled = 80 miles

Vehicle A travels farthest since the distance is greater for A.

Difference in the distance = 90 - 80 = 10 miles

Hence the vehicle A travels 10 miles farther.

Learn more about Speed here :

https://brainly.com/question/312131

#SPJ2

Find the product of all positive integer values of $c$ such that $3x^2+7x+c=0$ has two real roots. I will award a lot of points

Answers

Answer:  24

Step-by-step explanation:

Let's find one solution:

3x² + 7x + c = 0

a=3 b=7  c=c

First, let's find c so that it has REAL ROOTS.

⇒ Discriminant (b² - 4ac) ≥ 0

                         7² - 4(3)c ≥ 0

                         49 - 12c ≥ 0

                               -12c  ≥ -49

                                [tex]c\leq\dfrac{-49}{-12}\quad \rightarrow c\leq \dfrac{49}{12}[/tex]      

Since c must be a positive integer, 1 ≤ c ≤ 4

Example: c = 4

3x² + 7x + 4 = 0

(3x + 4)(x + 1) = 0

x = -4/3, x = -1         Real Roots!

You need to use Quadratic Formula to solve for c = {1, 2, 3}

Valid solutions for c are: {1, 2, 3, 4)

Their product is: 1 x 2 x 3 x 4 = 24

Answer:

$3x^2+7x+c=0$

comparing above equation with ax²+bx+c

a=3

b=7

c=1

using quadratic equation formula

[tex]x = \frac{ - b + - \sqrt{b {}^{2} - 4ac} }{ 2a} [/tex]

x=(-7+-√(7²-4×3×1))/(2×3)

x=(-7+-√13)/6

taking positive

x=(-7+√13)/6=

taking negative

x=(-7-√13)/6=

Find the slope and y-intercept: 4x-y+6=0

Answers

Answer:

The slope is 4, and the y-intercept is 6.

Step-by-step explanation:

The equation of the line is generally written as y = mx + b.

Where m is the slope, and b is the y-intercept.

4x - y + 6 = 0

Solve for y.

- y = 0 - 4x - 6

y = -1(-4x - 6)

y = 4x + 6

The slope of the line is 4, and the y-intercept of the line is 6.

Answer:

Y-intercept is (0,6). The slope is 4

Step-by-step explanation:

If the 2412 leaves are not a random sample, but the researchers treated the 2412 leaves as a random sample, this most likely made the data more:_____________.1. accurate, but not precise2. precise, but not accurate3. neither4. both accurate and precise

Answers

Answer:

2. Precise but not accurate

Step-by-step explanation:

In a high precision, low accuracy case study, the measurements are all close to each other (high agreement between the measurements) but not near/or close to the center of the distribution (how close a measurement is to the correct value for that measurement)

please i need this answer right now !!!! Dx

Answers

Answer: the answer is d sin30degrees equal 5/x because sin is opposite over hyponuese

are the two triangles below similar​

Answers

Answer:

Hey!

Your answer is YES!

AKA the Last Option on your screen!

Step-by-step explanation:

It is this because...

They both have the angles 105 in it...

And looking at the other angle on the smaller one (25)

50 + 25 = 75 ... 180 - 75 = 105

WE HAVE 105 as an angle on the larger triangle...which makes them SIMILAR but congruent Angles!

It cant be the "corresponding sides" as we do not have the notations (lines intersecting the sides) that let us know that the lines are the same.

Hope this helps!

Here are summary statistics for randomly selected weights of newborn​ girls: nequals153​, x overbarequals31.5 ​hg, sequals7.1 hg. Construct a confidence interval estimate of the mean. Use a 90​% confidence level. Are these results very different from the confidence interval 30.4 hgless thanmuless than32.8 hg with only 15 sample​ values, x overbarequals31.6 ​hg, and sequals2.7 ​hg?

Answers

Answer:

yes it is little different  from the confidence interval (30.4 ≤μ≤ 32.8) changes statistics

90% confidence interval estimate of the mean is

(30.1048 , 33.0952)

Step-by-step explanation:

Step(I):-

Given sample size 'n' = 153

Given mean of the sample x⁻ = 31.5

Sample standard deviation 'S' = 7.1 h g

90% confidence interval estimate of the mean is determined by

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]

Degrees of freedom

ν = n-1 = 153-1 =152

t₀.₀₅ =1.9757

Step(ii)

90% confidence interval estimate of the mean is

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]

[tex](31.5 - 1.9757 } \frac{7.1}{\sqrt{153} } , 31.5 + 1.9757 \frac{7.1}{\sqrt{153} } )[/tex]

( 31.5 - 1.1340 , 31.5 + 1.1340)

(30.366 , 32.634)

90% confidence interval estimate of the mean is

(30.4 , 32.6)

b)

Given sample size 'n' = 15

Given mean of the sample x⁻ = 31.6

Sample standard deviation 'S' = 2.7 h g

90% confidence interval estimate of the mean is determined by

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]

Degrees of freedom

ν = n-1 = 15-1 =14

t₀.₀₅ =2.1448

90% confidence interval estimate of the mean is

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]

[tex](31.6 - 2.1448 } \frac{2.7}{\sqrt{15} } , 31.6 + 2.1448 \frac{2.7}{\sqrt{15} } )[/tex]

( 31.6 - 1.4952 , 31.6 + 1.4952)

(30.1048 , 33.0952)

Conclusion:-

yes it is little different  from the confidence interval (30.4 ≤μ≤32.8)

In the North Area Mall, 18 of the 90 stores sell shoes. If that same ratio holds true for the University Mall and 9 stores there sell shoes, how many stores are at University Mall?

Answers

Answer:

18/90=9/x and to find x use proportion so first 90*9=18x and 810=18x and x-45

Step-by-step explanation:

Answer:

45 stores are at University Mall

Step-by-step explanation:

The ratio of malls that sell shoes at North Area mall are 18 out of 90, which simplifies to one fifth of stores. Since the same ratio holds for the University Mall, and 9 is half of 18, the amount of stores at University Mall is 45 because 45 is half of 90.

I don't know what to do.

Answers

Answer:

104.93 in

Step-by-step explanation:

When we draw out a picture of our triangle, we should see that we need to use sin∅ to solve:

sin23° = 41/x

xsin23° = 41

x = 41/sin23°

x = 104.931

Make x the subject of the formula a x + 2 c = b x + 3 d

Answers

Answer:

x = (3d - 2c)/(a - b)

Step-by-step explanation:

ax + 2c = bx + 3d

ax - bx = 3d - 2c

x(a - b) = 3d - 2c

x = (3d - 2c)/(a - b)

Answer:

[tex]\boxed{x = \frac{3d-2c}{a-b}}[/tex]

Step-by-step explanation:

=> [tex]ax+2c = bx+3d[/tex]

Subtracting bx to both sides

=> [tex]ax-bx+2c= 3d[/tex]

Subtracting 2c to both sides

=> [tex]ax-bx = 3d-2c[/tex]

Taking x common

=> [tex]x(a-b) = 3d-2c[/tex]

Dividing both sides by (a-b)

=> [tex]x = \frac{3d-2c}{a-b}[/tex]

Please answer this correctly

Answers

Answer:

The second question

Step-by-step explanation:

The orca starts at -25 meters. She goes up 25 meters.

up 25 = +25

-25+25=0

Answer:

Option 2

Step-by-step explanation:

The orca swims at the elevation of -25 meters. The orca swims up 25 meters higher than before.

-25 + 25 = 0

Subtract :2/3z-(5/6z^2-z+3/z) what is the resulting rational expression
A.3z^2+3/6z^2
B.6z^2+10/6z^2
C.3z^2+10z-8/6z^2
D.6z^2+22z-5/6z^2

Answers

Answer:

The correct answer is D

Step-by-step explanation:

i just did the assignment

Answer:

Correct answer: D

Step-by-step explanation:

just did it on edge

HElp 64 points and Brainlyiest to who ever can solve the problem question on the picture
Which property was applied in this step?
Addition Property of Equality
O Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equalit

Answers

Answer:

Addition Property of Equality

Step-by-step explanation:

You are adding 3/4 to both sides to isolate the x.

F (X) = x² - 2x and 6(x) = 3x+1
A) Find F(g(-4))
B) Find F(g(x)) simply
C) find g^-1 (x)

Answers

Part A

g(x) = 3x+1

g(-4) = 3(-4)+1 ... every x replaced with -4

g(-4) = -12+1

g(-4) = -11

Plug this into the f(x) function

f(x) = x^2 - 2x

f( g(-4) ) = (g(-4))^2 - 2( g(-4) )

f( g(-4) ) = (-11)^2 - 2(-11)

f( g(-4) ) = 121 + 22

f( g(-4) ) = 143 is the answer

====================================================

Part B

Plug the g(x) function into the f(x) function

f(x) = x^2 - 2x

f( g(x) ) = ( g(x) )^2 - 2( g(x) ) ... replace every x with g(x)

f( g(x) ) = (3x+1)^2 - 2(3x+1)

f( g(x) ) = (9x^2+6x+1) + (-6x-2)

f( g(x) ) = 9x^2+6x+1-6x-2

f( g(x) ) = 9x^2-1  is the answer

Note that we can plug x = -4 into this result and we would get

f( g(x) ) = 9x^2-1

f( g(-4) ) = 9(-4)^2-1

f( g(-4) ) = 9(16)-1

f( g(-4) ) = 144-1

f( g(-4) ) = 143 which was the result from part A

====================================================

Part C

Replace g(x) with y. Then swap x and y. Afterward, solve for y to get the inverse.

[tex]g(x) = 3x+1\\\\y = 3x+1\\\\x = 3y+1\\\\3y+1 = x\\\\3y = x-1\\\\y = \frac{1}{3}(x-1)\\\\y = \frac{1}{3}x-\frac{1}{3}\\\\g^{-1}(x) = \frac{1}{3}x-\frac{1}{3}\\\\[/tex]

Your bank balance is $102.35 and you've just made purchases for $20, $33.33, and $52.80. You then make deposits of $25 and $24.75. What's your new balance?
A. 565.77
B. 54102
C. $45.97
D. 551.22

Answers

Answer:

C

Step-by-step explanation:

102.35-20-33.33-52.80+25+24.75

45.97

C.$45.97 because $102.35 minus $20, $33.33, and $52.80 is -$3.78 but if you add $25 and $24.75 it's $45.97

Need help with this as soon as possible.

Answers

Answer:

after 9 weeks it would become 9*1+10=19 inches

and after w weeks it will be w*1+10 inches tall

hope this helps

Step-by-step explanation:

Answer:

a) 19 inches

b) 10+w inches

Step-by-step explanation:

The equation for this problem is 10 + w.  In the first part, w = 9, so the plant is 19 inches tall.

Find the values of b and c so g(x)=6x^2+bx+c has a vertex of (7,-9).

Answers

Answer:

b = -84

c = 285

Step-by-step explanation:

Given that:

[tex]g(x)=6x^2+bx+c[/tex]

Vertex of (7, -9).

To find:

Value of b and c = ?

Solution:

It can be seen that the given equation is of a parabola.

Standard equation of a parabola is given as:

[tex]y =Ax^2+Bx+C[/tex]

x coordinate of vertex is given as:

[tex]h=\dfrac{-B}{2A}[/tex]

Here, A = 6, B = b and C = c, h = 7 and k = -9

[tex]7=\dfrac{-b}{2\times 6}\\\Rightarrow b = -84[/tex]

So, the equation of given parabola becomes:

[tex]y=6x^2-84x+c[/tex]

Now, putting the value of vertex in the equation to find c.

[tex]-9=6\times 7^2-84\times 7+c\\\Rightarrow -9=294-588+c\\\Rightarrow -9=-294+c\\\Rightarrow c = 285[/tex]

So, the answer is :

b = -84

c = 285

Suppose that the scores of bowlers in particular league follow a normal distribution such that the standard deviation of the population is 6. Find the 95% confidence interval of the mean score for all bowlers in this league, using the accompanying data set of 10 random scores. Round your answers to two decimal places and use ascending order. Score 86 86 93 88 98 107 93 75 89

Answers

Answer:

A 95% confidence interval for the population mean score for all bowlers in this league is [86.64, 94.48].

Step-by-step explanation:

Since in the question only 9 random scores are given, so I am performing the calculation using 9 random scores.

We are given that the scores of bowlers in particular league follow a normal distribution such that the standard deviation of the population is 6.

The accompanying data set of 9 random scores in ascending order is given as; 75, 86, 86, 88, 89, 93, 93, 98, 107

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                             P.Q.  =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean score = [tex]\frac{\sum X}{n}[/tex] = [tex]\frac{815}{9}[/tex] = 90.56

            [tex]\sigma[/tex] = population standard deviation = 6

            n = sample of random scores = 9

            [tex]\mu[/tex] = population mean score for all bowlers

Here for constructing a 95% confidence interval we have used a One-sample z-test statistics because we know about population standard deviation.

So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                   of significance are -1.96 & 1.96}  

P(-1.96 < [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < 1.96) = 0.95

P( [tex]-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\bar X-\mu}[/tex] < [tex]1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] =  [ [tex]\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] , [tex]\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }[/tex] ]

                                          = [ [tex]90.56-1.96 \times {\frac{6}{\sqrt{9} } }[/tex] , [tex]90.56+1.96 \times {\frac{6}{\sqrt{9} } }[/tex] ]

                                          = [86.64 , 94.48]

Therefore, a 95% confidence interval for the population mean score for all bowlers in this league is [86.64, 94.48].

Other Questions
Use the formula m =m equals StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction to calculate the slope of the line. The slope of the line is . A doctor prescribes 500 milligrams of a therapeutic drug that decays by about 19% each hour.a) To the nearest minute, what is the half-life of the drug? b)Write an exponential model representing the amount of the drug remaining in the patient'ssystem after t hours. (2 points)c)Use your formula to find the amount of drug that would remain in the patient's system after 24hours. Round your answer to the nearest hundredth of a gram. (2 points) The owner of a car wash wants to see if the arrival rate of cars follows a Poisson distribution. In order to test the assumption of a Poisson distribution, a random sample of 150 ten-minute intervals was taken. You are given the following observed frequencies: Number of Cars Arriving in a 10-Minute Interval Frequency 0 3 1 10 2 15 3 23 4 30 5 24 6 20 7 13 8 8 9 or more 4 150 Calculate mean and use Poisson probabilities. The expected frequency of exactly 3 cars arriving in a 10-minute interval is a. .1533. b. 26.145. c. .1743. d. 23. Complete the square to rewrite y = x2 - 6x + 16 in vertex form. Then statewhether the vertex is a maximum or minimum and give its coordinates. first ionization energy identify the value of x HELP ASAPa) x=32b) x=4c) x=2d) x=16 If one quart of paint is exactly enough for two coats of paint on a 9-foot by 10-foot wall, how many quarts of paint are needed to apply one coat of paint to a 10-foot by 12-foot wall? Express your answer as a common fraction A rectangle measures 18 cm by 3 cm what is its area 1 kilogramOne ratio you could use for converting units is1,000 gramsA. TrueO B. False Why is the separation of mixtures into pure or relatively pure substances so important when performing a chemical analysis? Explain the concept of fraud in organizations as emerging ethical issues. Give example of an organization who have done fraud and being convicted. Find the product.(3b + 6at)(b - at) Carpenters, Inc., a manufacturing company, acquired equipment on January 1, 2017 for $ 520 comma 000. Estimated useful life of the equipment was seven years and the estimated residual value was $ 20 comma 000. On January 1, 2020, after using the equipment for three years, the total estimated useful life has been revised to nine total years. Residual value remains unchanged. The company uses the straightminusline method of depreciation. Calculate depreciation expense for 2020. (Round any intermediate calculations to two decimal places, and your final answer to the nearest dollar.) Use exact numbers. Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and ( 5 , 8 ) (5,8)left parenthesis, 5, comma, minus, 8, right parenthesis. Yu Min made brownies for school. After cutting the brownies into equal pieces, Yu Min gave 4 to her brother, and she split the remaining brownies with her mathematics teacher and her art teacher. If she had 24 brownies, how many brownies did each of the 2 teachers receive? Simplify (4x+5y) (2x-3y) + 3xy Which piece of evidence supports the theory of continental drift? A. similar animal fossils found in South America and Africa B. transform boundaries found near tropical coastal regions C. large deposits of volcanic rocks found on the ocean floor D. fossils of plants that typically grew in Arctic climates found in Africa Which of the following sustainable practice Which one of the following reports helps track past due bills and bills that are due shortly? Multiple Choice Accounts Payable Aging Summary Customer Aging Summary Accounts Receivable Aging Summary Vendor Aging Report A line of credit can be either a formal or an informal agreement between a borrower and a bank regarding the maximum amount of credit the bank will extend to the borrower during some future period, assuming the borrower maintains its financial strength.A. TrueB. False