Lyme disease is an inflammatory disease that results in a skin rash and flulike symptoms. It is transmitted through the bite of an infected deer tick. The following data represent the number of reported cases of Lyme disease and the number of drowning deaths for a rural county.

Cases of Lyme Disease Drowning Deaths Month
2 0 J
1 1 F
3 2 M
4 1 A
5 3 M
1 5 J
2 2 J
1 3 A
6 3 S
5 3 O
4 1 N
1 0 D

Requried:
a. Draw a scatter diagram of the data.
b. Determine the linear correlation coefficient between Lyme disease and drowning deaths.
c. Does a linear relation exist between the number of reported cases of Lyme disease and the number of drowning deaths?

19 4-cent stamps and 3 28-cent stamps should be used.

Given that Greg needs at least $ 1.60 in stamps to mail a package, and he has 28cent stamps and 4cent stamps, and he can use no more than twenty 4cent stamps as he only has one book left, to determine how many stamps to use should be made the following calculation, through a linear function:

Therefore, 19 4-cent stamps and 3 28-cent stamps should be used.

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Answer:

$15,000 was invested at 13% per year, and $ 3,000 was invested at 3% per year.

Step-by-step explanation:

Given that James invests a total of $ 18,000 in two accounts paying 13% and 3% annual interest, respectively, to determine how much was invested in each account if, after one year, the total interest was $ 2,040.00, the following calculation must be performed:

18,000 x 0.13 + 0 x 0.03 = 2340

16,000 x 0.13 + 2,000 x 0.03 = 2140

15,000 x 0.13 + 3,000 x 0.03 = 2040

Thus, $ 15,000 was invested at 13% per year, and $ 3,000 was invested at 3% per year.

Answer:

16:0

Step-by-step explanation:

Answer:

the first one is 4 and 5

Step-by-step explanation:

the second one is 45 because 15+15+15 is 45, you get 15 by the square root of 225

Answer:

1)4)5

2)45

Step-by-step explanation:

1) ✓22 = 4.69041575 which is between 4 and 5

2) The area is 225ft2 area= length * length (the only one that fits here with 225 is 15) 15*15 is 225. Now that we know the sides for perimeter:

_15__

15 |. |. 15

-------

15

The question though, asks for the perimeter which is around. So you add 15 three times for the three sides and get 45ft

using 12 mm marbles would be more cost-effective, with a total cost of $360 compared to $810 for 9 mm marbles.

How to solve?

To calculate the number of marbles needed per vase, we first need to calculate the volume of each vase. The volume of a cylinder can be calculated using the formula V = πr²2h, where r is the radius and h is the height.

V = π(6 cm)²2(28 cm) / 2 = 3,758.76 cm²3

Since Janine intends to fill each vase halfway, the volume of water needed per vase would be:

V_water = 3,758.76 cm²3 / 2 = 1,879.38 cm²3

To calculate the volume of marbles needed per vase, we can subtract the volume of water from the total volume of the vase:

V_marbles = 3,758.76 cm²3 - 1,879.38 cm²3 = 1,879.38 cm²3

We can now calculate the number of marbles needed per vase based on the size of the marbles:

For 9 mm marbles:

The radius is 0.9 cm (9 mm / 10)

The volume of one marble can be calculated using the formula V = (4/3)πr²3

V_marble = (4/3)π(0.9 cm)²3 ≈ 2.138 cm²3

Number of marbles needed = V_marbles / V_marble = 879.38 cm^3 / 2.138 cm²3 ≈ 826 marbles

Total cost = 30 tables × $3/bag × 9 bags = $810

For 12 mm marbles:

The radius is 1.2 cm (12 mm / 10)

The volume of one marble can be calculated using the formula V = (4/3)πr²3

V_marble = (4/3)π(1.2 cm)²3 ≈ 7.238 cm²3

Number of marbles needed = V_marbles / V_marble = 1,879.38 cm²3 / 7.238 cm²3 ≈ 260 marbles

Total cost = 30 tables × $4/bag × 3 bags = $360

Therefore, using 12 mm marbles would be more cost-effective, with a total cost of $360 compared to $810 for 9 mm marbles.

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The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\); f^(-1)(x) is not a function.

The function in this problem is defined as follows:

f(x) = 4x^4.

To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:

x = 4y^4.

Isolating the variable y, we have that:

y^4 = (x/4).

The inverse operation of the fourth power is the fourth root, hence:

\(y = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\)

The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.

This means that the second statement is correct.

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The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

From the question, we have the following parameters that can be used in our computation:

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

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Answer:

divide it, 5400 divided by 9 is 600.

Answer:

1) 9

2) 27

3) Read explanation below!

Step-by-step explanation:

1) Use the Pythagorean theorem to find AD. Show your working

To find '?' we first have to expand the indices...

Now work out '?'

2) Find AC. Show your working

We have found out that AD is 9 and to find AC we have to add 18!

3) Is ΔABC a right triangle? Explain

We can that ΔABC is not a right angle as none of the angles in the triangle are 90°!  If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!

Have a lovely day :)

By using the substitution method, the value for (x,y) = (-2, 2)

The substitution method for solving a system of algebra equations is a process where by we make a variable (say variable x) the subject of the formula and substitute it into the second equation to solve for the other variable.

In essence, from the given system of equations; let's make x the subject of the formula in the first equation.

5x + 3y = -4

5x = -4 - 3y

Divide both sides by 5;

x = -4/5 - 3y/5

Now, we are going to substitute this value for x into the second equation. The second equation says:

y - 2x = 6

y - 2(-4/5 - (3y/5)) = 6

By solving for y;

y = 2

Now, let's replace the value of y with any of the given equation (2);

y - 2x = 6

2 - 2x = 6

-2x = 6 - 2

-2x = 4

Divide both sides by -2

-2x/-2 = 4/ -2

x = -2

Therefore, we can conclude that by using the substitution method, the value for (x,y) = (-2, 2)

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Answer:=25

Step-by-step explanation:

Answer:

2 is B

3 is C

and i'm pretty sure 4 is B

Step-by-step explanation:

the calculator says otherwise -.-

Thats the correct answer.

Answer:

17/40

Step-by-step explanation:

First let's find the least common denominator. The denominators are 8 and 25 so we need to find the least common multiple of 8 and 25.

8=2*2*2

25=5*5

Since they share no common factors the least common multiple of 8 and 25 is 8*25 which is 200.

Now we convert the fractions:

5/8*25/25=125/200

5/25*8/8=40/200

Then we subtract:

125/200-40/200=85/200

Now we simplify it:

17/40

The measure of the remote exterior angle is 128°.

From the information given, x = y + z. Therefore, .(198 - 5n) = (5n + 37( + (n + 7)

198 - 5n = 6n + 44

Collect like terms

154 = 6n + 5n

154 = 11n

n = 154/11

n = 14

The value of angle x will be:

= 198 - 5n

= 198 - 5(14)

= 198 - 70

= 128

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The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer:

11/15

Step-by-step explanation:

3/5 / 9/11

keep, change, flip

3/5 x 11/9

3/5 x 11/9 = 33/45

then simplify

33/45 / 3

11/15

9514 1404 393

Answer:

  11/15

Step-by-step explanation:

There are three ways you can solve a problem involving division of fractions.

1) Remember that division is the same as multiplication by the reciprocal. (This is true for any division, not just division of fractions.) The reciprocal of 9/11 is 11/9 (turn it upside down). Then ...

  \(\dfrac{3}{5}\div\dfrac{9}{11}=\dfrac{3}{5}\times\dfrac{11}{9}\)

To multiply fractions, the products of numerators and denominators become the numerator and denominator of the product. We can factor 3 from the denominator here and use that to cancel a factor of 3 in the numerator.

  \(=\dfrac{3\times11}{5\times9}=\dfrac{3\times11}{3\times5\times3}=\dfrac{3}{3}\times\dfrac{11}{15}=\dfrac{11}{15}\)

The product fraction is 33/45, but each of these numbers has a factor of 3. Those common factors in numerator and denominator can cancel to reduce the fraction to lowest terms. The result is 11/15.

__

2) Each fraction can be expressed using a common denominator. Here, that can be 5×11 = 55.

  \(\dfrac{3}{5}\div\dfrac{9}{11}=\left(\dfrac{3}{5}\cdot\dfrac{11}{11}\right)\div\left(\dfrac{9}{11}\cdot\dfrac{5}{5}\right)=\dfrac{33}{55}\div\dfrac{45}{55}\)

When the fractions have a common denominator, their quotient is the quotient of the numerators.

  \(=\dfrac{33}{45}=\dfrac{3}{3}\times\dfrac{11}{15}=\dfrac{11}{15}\)

The result is 11/15.

__

3) Each fraction can be expressed using a common numerator. Then the quotient is the reciprocal of the quotient of denominators.

  \(\dfrac{3}{5}\div\dfrac{9}{11}=\left(\dfrac{3}{5}\cdot\dfrac{3}{3}\right)\div\dfrac{9}{11}=\dfrac{9}{15}\div\dfrac{9}{11}=\dfrac{11}{15}\)

The result is 11/15.

Note this method is rarely used. You can see how it works if you compare to the first method (9/15)÷(9/11) = (9/15)×(11/9) = (9×11)/(9×15) = 11/15.

Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

Answer:

C

Step-by-step explanation:

So I don’t know if you don’t know how to do it but imagine right to explain it ... You good have to add oh yeah P2 together and all numbers together and all the p together see this is why I did use different colors. Have an amazing day :)

Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

Answer:

(26 x $1,334) + ( 19 x $ 749) = $48,915

Step-by-step explanation:

All together she spent $45,915. She spent $34, 684 on treadmills and $14,231 on Stationary bikes.

hope this helps. If it does please mark me the brianliest!

Peace and Love

Step-by-step explanation:

Flip f(x) about the x-axis by multiplying it by -1

  - f(x)

  the squish it skinnier by multiplying it by 4

g(x) = - 4 f(x)   = -4 x^2

The option II "The interval is narrower than a 98% confidence interval would be" and III "95% of all samples would show mean commercial length between 23 and 27 seconds" is the true about the question. So the option d is correct.

If all possible samples are taken and confidence intervals are calculated, 95% of them will include the true population mean somewhere within their range.

Because of the large margin of error, a 98 percent confidence interval would be wider than a 95 percent confidence interval. So, here we are. The confidence interval is narrower than a 98% confidence interval.

Furthermore, 95% of all samples would have a mean commercial length of 23 to 27 seconds. As a result, the correct answer is II and III (d).

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Answer:

Let x be the number of additional outfits.

5 + x < 11

9514 1404 393

Answer:

  335 ft

Step-by-step explanation:

The relationship between distances and the angle is ...

  Tan = Opposite/Adjacent

  tan(28°) = (lighthouse height)/(distance to ship)

  distance to ship = (178 ft)/tan(28°) ≈ 334.77 ft

The ship is about 335 ft from the base of the lighthouse.

Answer:

it's uhh is the answer

Answer:

x = 4 and y =5

Step-by-step explanation:

6x-3y=9

-6x+6y=6

    3y=15

   y=5

6x-15=9 or         -6x+30=6

6x=24                -6x=-24

x=4                       x=4

Answer:

x is 4, y is 5

Step-by-step explanation:

Go answer it now fast fast

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

\( \boxed{\sf Final \ velocity \ (v) = 26 \ m/s} \)

Given:

\( \sf v = v_{0} + at\)

\(\sf Initial \ velocity \ (v_{0}) = 20 \ m/s \\ \sf Acceleration \ (a) = 1.5 \ m/s^{2} \\ \sf Time \ (t) = 4 \ sec\)

To Find:

Final velocity (v)

Step-by-step explanation:

\(\sf Substituting \ value \ of \ Initial \ velocity \\ \sf acceleration \ and \ time \ in \ given \ equation: \\ \\ \sf \implies v = v_{0} + at \\ \\ \sf \implies v = 20 + 1.5(4) \\ \\ \sf 1.5 \times 4 = 6 : \\ \sf \implies v = 20 + \boxed{6} \\ \\ \sf 20 + 6 = 26 : \\ \sf \implies v = 26 \: m/s\)

Answer:

  (c)  The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).

Step-by-step explanation:

You want to know the relationship between the graphs of function f(x) and its inverse f⁻¹(x).

The inverse of a function maps every y-value of the original function to its corresponding x-value. That is if you have ...

  f(a) = b

then the graph of f(x) contains the ordered pair (a, b).

The inverse function will have the ordered pair (b, a). That is,

  f⁻¹(b) = a

If an ordered pair (x-intercept) of the inverse function is ...

  (P, 0)

Then there will be an ordered pair (0, P) on the graph of the original function. That point is the y-intercept, and its y-coordinate is the same as the x-coordinate of the x-intercept of the inverse function.

The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).

__

Additional comment

The graphs of the two functions are mirror images of each other across the line y=x.

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Answer:

2b - 14

Step-by-step explanation:

2(b – 7)

2b - 14

Answer:

\(2b-14\)

Step-by-step explanation:

Using the distributive property, \(2(b-7)\) can be written as \((2\cdot b)-(2\cdot7)\) which solved/simplified is \(2b-14\)

Man, it's late! Well, hope this helped you out and answered your question!