Question 11 of 17
What division equation does the model show ?

Answer:

[tex]\left \{ {{x=2+3\cos t} \atop {y\:=-1+3\sin t}} \right. => \pi \leq t \leq 5\pi[/tex]

Step-by-step explanation:

The standard equation of a circle centered at (a,b) with radius r would be (x - a)^2 + (y - a)^2 = r^2

This example represents a circle with center (2, - 1) having a radius of 3

The parametric equation of a circle centered at (0,0) would be;

x = r cos t,

y = r sin t

And so when centered at (a, b) we would have;

x = a + r cos t,

y = b + r sin t

In this case x = 2 + 3 cos t, and y = - 1 + 3 cos t

Now if the particle starts at (-1, - 1), correspondent to a start parameter of t = π, we need two revolutions so it should be that t = π + 2 * 2π = 5π.

[tex]\left \{ {{x=2+3\cos t} \atop {y\:=-1+3\sin t}} \right. => \pi \leq t \leq 5\pi[/tex]

Answer:

so im in a rush but to get this answer you need to sub those variables and then the first step would be the multiplication prop of inequality

Step-by-step explanation:

Answer:

A)

Less than $100

B)

[tex]B(21)=300[/tex]

For each day after Day 16, Ebony deposited $40.

Step-by-step explanation:

We know that on Day 16 she deposited $100 into her account.

And each day after Day 16, she made a deposit and each deposit were equal to each other.

So, let's answer each of the questions using the available information.

Part A)

Notice that the 5th Segment starts and ends with the 5th to the 6th Point. The 6th Point represents the 16th Day, where B(16)=100.

We want to know whether or not each of her deposits after Day 16 were less than, equal to, or greater than $100.

We can immediately conclude that it must be less than $100 because we can see that the slope of the 6th Segment is less steep than the slope of the 5th Segment.

Since it is less steep, this means that the unit rate of change from each day after Day 16 is less than the unit change on Day 16, which is $100/day.

So, the each of the deposits made after Day 16 is less than $100.

Part B)

We want to estimate B(21) in hundreds.

Remember that Ebony's maximum balance is $400.

Also, recall that the first point is $200.

B(21), the 7th Point, seems to be between the 2nd/3rd Point and the 1st Point.

So, it is reasonable to say that at the 21st Day, her account balance was (200+400)/2=600/2=$300.

We know that at Day 16, her account balance was $100. So, we have the point (16, 100).

And at Day 21, her account balance is $300. So, (21, 300).

Since each deposit after Day 16 is the same, it has a constant rate of change. So, we can use the slope formula:

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

Let (16, 100) be (x₁, y₁) and let (21, 300) be (x₂, y₂). Substitute them into the slope formula. This yields:

[tex]m=\frac{300-100}{21-16}[/tex]

Subtract and divide. So:

[tex]m=\frac{\$200}{5\text{ days}}=\$40\text{/day}[/tex]

So, for each day after Day 16, Ebony deposited $40.

And we're done!

Answer:

Step-by-step explanation:

this is the answer .it is right or not

Step-by-step explanation:

Complementary Angles add up to 90 degrees since both m∠BAM and m∠CTX are known to be complementary, they must add up to 90 degrees. So....

[tex]m∠BAM + m∠CTX = 90 \\ (2x +4) + (x + 11) = 90 \\ 3x +15 = 90 \\ -15 + 3x +15 = 90 -15 \\ 3x = 75 \\ \frac{3x}{3} = \frac{75}{3} \\ x = 25[/tex]

[tex]x = 25[/tex]

Answer:

5 + 4 = 9 is near the doubles 4 + 4 = 8 and 5 + 5 = 10, so either double could be used to find the sum of 5 + 4.

Step-by-step explanation:

Hope this helps leave a heart c:

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

[tex]P_1 =  0.1333[/tex] , [tex]P_2 =  0.266[/tex], tex]P_3 =  0.200[/tex],  [tex]P_4 =  0.333[/tex] ,   [tex]P_5 =  0.067[/tex]

b

The location with most risk for flood is the location with 5 towns

Step-by-step explanation:

From the question we are told that

The total number of town is n = 15

Generally the missing number of town is mathematically evaluated as

[tex]k = 15 - [2 + 4 + 5 + 1 ][/tex]

=> [tex]k = 3 [/tex]

Generally the probability distribution for frequency is mathematically represented as

[tex]P = \frac{A}{B}[/tex]

Here  A is the number of town having these losses (i.e each row under the number of towns having the losses column)

        B is the total number of  towns

Considering column one

          [tex]P_1 =  \frac{2}{15}[/tex]

           [tex]P_1 =  0.1333[/tex]

Considering column two

          [tex]P_2 =  \frac{4}{15}[/tex]

           [tex]P_2 =  0.266[/tex]

Considering column three

          [tex]P_3 =  \frac{3}{15}[/tex]

           [tex]P_3 =  0.200[/tex]

Considering column four

          [tex]P_4 =  \frac{5}{15}[/tex]

           [tex]P_4 =  0.333[/tex]

Considering column five

          [tex]P_5 =  \frac{1}{15}[/tex]

           [tex]P_5 =  0.067[/tex]

Looking at the table we see that the region with  5  towns receive 3 floods per town and this region of 5 towns has a higher probability distribution for frequency compared to the other region. hence the location with most risk for flood is the location with 5 towns

Answer:

The answer is 4 h ( x ).

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

Answer:

Option D.

Step-by-step explanation:

Convert each to a decimal.

pie + 8 = 11.14

5 and the square root of 20 = 22.36

10/ the square root of 3 = 5.77

Now put them in order from least to greatest.

10/ the square root of 3, pie + 8, 5 and the square root of 20.

Option D is your answer!

Answer:

The slope between (-5,1) and (4,4) is 1/3

Step-by-step explanation:

When you're given 2 points and you must find the slope between those 2 points, you can find the distance between the y values and the x values.

For example in this case, the distance in our first y value is 3. So we know that y is always above x so we have 3/x so far.

Next to find the x values you do the exact same, and we get a distance of 9 from -5 to +4.

Now we have 3/9 which should be simplified to 1/3. When plotting this point, you'll use the strategy Rise over Run or Rise/Run.

(Side Note: Y is always above X so we know the Rise must be Y and the X must be Run.)

Y/X = Rise/Run

Hope this helps! :)

Answer:

1/2m+100

Step-by-step explanation:

Answer:

A scientific calculator costs $3.50 today. I remember when they cost about $75. What is the percent decrease in the price of a scientific calculator?

In other words: The decrease in price is what percent of the original price?

% Decrease= (Decrease in price(New price-Old Price))/(Original Price(old price))×100

Answer:

4e +5+21=90

4e+26=90

4e=64

e= 16

Step-by-step explanation:

This is a 90 degree angle (right angle), soo you the measures given would be equal to 90 degrees

1.first simplify the equation

2. subtract 26 from both sides

3. Now divide 4 from boht sides to leave the unknown variable alone

4. You are left with the answer, which is 16

I hope this helps!

Answer:

it should be 21 x 13

Step-by-step explanation:

Answer:

11370  sachet

Step-by-step explanation:

Answer:

11370 sachets

Step-by-step explanation:

Given parameters:

 Capacity of one sachet of pure water = 500ml = 500 x 10⁻³L

Unknown:

Number of sachet of pure water needed to fill a barrel of 5685liters + /

Solution;

To find the number of sachet;

  500 x 10⁻³L will fill one sachet of pure water;

For 5685 liters, we would require  y sachet of pure water ;

    500 x 10⁻³y  = 5685

         0.5y = 5685

               y = [tex]\frac{5685}{0.5}[/tex]  = 11370 sachets

Answer:

2/3

Step-by-step explanation:

Simplify the following:

3/4 - 1/12

Put 3/4 - 1/12 over the common denominator 12. 3/4 - 1/12 = (3×3)/12 - 1/12:

(3×3)/12 - 1/12

3×3 = 9:

9/12 - 1/12

9/12 - 1/12 = (9 - 1)/12:

(9 - 1)/12

9 - 1 = 8:

8/12

The gcd of 8 and 12 is 4, so 8/12 = (4×2)/(4×3) = 4/4×2/3 = 2/3:

Answer:  2/3

Answer:

a(a-6)(a-3)

Step-by-step explanation:

Answer:

x =-5±  2i sqrt(14)

Step-by-step explanation:

x^2 + 10x= -81

Take the coefficient of x and divide by 2

10/2 = 5

Square it

5^2 =25

add to each side

x^2 + 10x+25 = -81+25

( x+5) ^2 = -56

Take the square root of each side

sqrt(( x+5) ^2) =± sqrt(-56)

x+5 = ± sqrt(-1) sqrt(4*14)

x+5 =± i sqrt(4)sqrt(14)

x+5 =± i 2 sqrt(14)

Subtract 5 from each side

x+5-5 =-5± i 2 sqrt(14)

x =-5±  2i sqrt(14)

Answer:

.

Step-by-step explanation:

Answer:

9x+17

Step-by-step explanation:

I took the test

Answer: input values for the function.

Step-by-step explanation:

Given parameters:

Distance traveled  = 1778miles

Average speed  = 61.7 miles per hour

Unknown:

Time taken for the travel = ?

Speed is a physical quantity. It is the rate of change of distance with time.

 It can be mathematically expressed as;

           Speed  = [tex]\frac{distance}{time taken}[/tex]

  The unknown here is the time taken;

   Substitute the parameters and solve for it;

      61.7  = [tex]\frac{1778}{ time taken}[/tex]

          time taken  = [tex]\frac{1778}{61.7}[/tex]   = 28.8hrs

The time taken is  28.8hrs

Answer:

the answer for this would be 30 hours.

Step-by-step explanation:

Answer:

i don't know what the equation would be but hope this helped! 1.72 for each pencil

Step-by-step explanation:

9 - 3.85 = 5.15

5.15/3 = 1.72 for each pencil

Answer:

About $1.72 per pencil

Step-by-step explanation:

1. 9-3.85 = 5.15

2. 5.15/3 = 1.71 2/3 (1.7166666667)

3. $1.72/pencil

Answer:

Very confused! at 95% confidence level, the true population mean will be between 134.33 and 145.67.

Step-by-step explanation:

A random sample of 45 home theater systems has a mean price of ​$140.00

Assume the population standard deviation is ​$19.40

population standard deviation is 19.40

sample size is 45.

standard error of the sample mean is 19.40 / sqrt(45) = 2.89198

at 90% confidence level, critical z is plus or minus 1.645.

at 95% confidence level, critical z is plus or minus 1.96.

critical raw score will be sample mean plus or minus critical z-score * standard error of the mean.

your sample mean is 140.

your standard error of the mean is 2.89198

at 90% confidence level, your critical raw score will be 140 plus or minus 1.645 * 2.89198.

that becomes 140 plus or minus 4.76 rounded to the nearest penny.

at 90% confidence level, the true population mean will be between 135.24 and 144.76.

at 95% confidence level, your critical raw score will be 140 plus or minus 1.96 * 2.89198.

that becomes 140 plus or minus 5.67 rounded to the nearest penny.

Using the z-distribution, it is found that:

We are given the standard deviation for the population, and thus, the z-distribution is used.

The information is:

A z-confidence interval is given by:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.

For the 90% confidence interval, [tex]\alpha = 0.9[/tex], thus, z with a p-value of [tex]\frac{1 + 0.9}{2} = 0.95[/tex], which means that it is z = 1.645.

Then, the 90% confidence interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.22 - 1.645\frac{13.97}{\sqrt{74}} = 82.55[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.22 + 1.645\frac{13.97}{\sqrt{74}} = 87.89[/tex]

The 90% confidence interval for the population mean is (82.55, 87.89). It means that we are 90% sure that the true population mean is between these two values.

For the 95% confidence interval, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.

Then, the 95% confidence interval is:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.22 - 1.96\frac{13.97}{\sqrt{74}} = 82.04[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.22 + 1.96\frac{13.97}{\sqrt{74}} = 88.40[/tex]

The 95% confidence interval for the population mean is (82.04, 88.40). It means that we are 95% sure that the true population mean is between these two values.

The higher the confidence level, the higher the critical value is, and thus, a higher confidence level leads to a wider interval.

A similar problem is given at https://brainly.com/question/22596713

Answer:

There isn't enough information on this question

Step-by-step explanation:

Answer:

Step-by-step explanation:4/9 /4= 1/9

Answer:

Opction b)

The maximum area that can be enclosed by the fencing

Step-by-step explanation:

I took the test

The solution is, A(w), represents the maximum area that can be enclosed by the fencing.

Here, we have,

If the width of the garden is w (in yards), then the length of the garden is (150-w) and the area is ...

 A(w) = w(150 -w) = -(w² -150w)

 A(w) = -(w² -150w +75²) +75²

 A(w) = -(w -75)² +5625

In this vertex form, the vertex is (75, 5625).

The graph of area versus width is a parabola that opens downward, so the vertex second coordinate is the maximum area that can be enclosed.

To learn more on Area click:

brainly.com/question/20693059

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