Ten boxes for $8.00 or 8 boxes for $6.00?
Which is a better deal. No need to show any work.

The value represents the incidence rate of gonorrhea in the U.S. population, which is a crucial measure used in epidemiology to understand the frequency and spread of a disease within a given population.

By analyzing the number of new cases reported, health officials and researchers can gauge the impact and burden of the disease on the population.

In this case, with 335,104 new cases of gonorrhea reported among the U.S. population in the past month, the incidence rate is calculated as 115.2 per 100,000 people. This means that for every 100,000 individuals in the population, there were approximately 115.2 reported cases of gonorrhea within the given time frame. Another way to interpret this is that for every 1,000 people, there was an average of 1 reported case.

This value helps public health authorities assess the magnitude of the issue, monitor trends, and allocate resources appropriately. It also serves as a basis for comparisons with previous periods or different populations, aiding in the identification of high-risk groups and the development of targeted prevention and control strategies.

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Answer:

radius = √35 mm or 5.916 mm

Explanation:

Here:

Solve for radius:

\(\rightarrow \sf \pi r^2 = 110\)

\(\rightarrow \sf \dfrac{22}{7} r^2 = 110\)

\(\rightarrow \sf r^2 = \dfrac{110(7)}{22} =35\)

\(\rightarrow \sf r = \sqrt{35}\)

Let's see

Answer:

answer for y=2/3x+2: y=2/3x+2

answer for -2x+3y=6: x=3/2y-3

pls give brainliest

Answer:

There are infinitely many solutions.

Step-by-step explanation:

There are infinitely many solutions because if you solve the equations, you will find that both of the equations are actually the same, so there is infinitely many solutions.

Showing that both equations are equal:  y=2/3x+2       -2x+3y=6

y=2/3x+2  Multiply by 3 on both sides

3y=2x+6 Rearrange (-2x on both sides)

3y-2x=6 More rearrangement

-2x+3y=6 Now, if you look back at the second equation, you will see that they are both the same.

Answer:

-42

Step-by-step explanation:

I put it in a calculator

Answer:

-42

Step-by-step explanation:

the answer should use PEMDAS so it is -42

Answer:

A) m∠ABC = 125° and AB ≅ DB

B) ΔACD is isosceles with base AD

D) CD = 52 cm

Step-by-step explanation:

If we known about the measure of the angle ABC also AB ≅ DB, so it could be either angle side angle or side angle side as CB bisects ∠ACD also ∠ACB is congruent to ∠DCB,.

So there is two angles that involved a side among them or two sides involved an ingle among them

And if triangle ACD is an isosceles having base AD that represents AC is congruent to DC that shows SAS

And if CD = 52 cm so this shows that AC and CD are congruent that shows SAS

Therefore A, B and D are correct

The table does not represent a function.

What is a function ?

In mathematics, a function is a rule that assigns to each element of a set (called the domain) a unique element of another set (called the range). A function can be thought of as a machine that takes an input value and produces an output value according to a certain rule.

Formally, a function f from a set A to a set B is defined as a set of ordered pairs (a, b), where a is an element of A and b is an element of B, such that every element of A appears in exactly one ordered pair.

We write f(a) = b to denote that the element b is the output of the function f for the input a.

It is important to note that for a set of ordered pairs to represent a function, each input value must correspond to exactly one output value. If an input value is associated with more than one output value, then the set of ordered pairs does not represent a function.

Determine the given table is a function or not :

To determine whether the table represents a function or not, we need to check if each input value (X) corresponds to only one output value (Y).

In this case, we see that the input value -3 is associated with two different output values: 1 and 0.

Therefore, the table does not represent a function.

A function is a set of ordered pairs in which no two different input values have the same output value. In other words, each input corresponds to exactly one output. In this table, the input value -3 corresponds to both 1 and 0, violating this condition for a function.

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Answer:

m=5

Step-by-step explanation:

We can solve this by using a system of equations. The easiest way to solve this is by using substitution.

3m=19-n       Subtract both sides by 19 to find n.

-19  -19

3m-19=-n      Divide everything by -1 to make n positive.

/-1        /-1

n=-3m+19

Now, we can substitute n into the second equation.

2m+5(-3m+19)=30    Substitute (-3m+19) into n.

2m-15m+95=30       Simplify.

-13m+95=30              Simplify and subtract both sides by 95.

        -95 -95

-13m=-65                    Divide both sides by -13.

/-13    /-13

m=5

We don't need to solve for n at all, so that is the answer!

Hope this helps, and have an amazing day ♥

Answer:

As the triangle is right angled ,

sinR = 17/63

Angle R = 15.7⁰

The closest value of the measure of ∠R is,

⇒ ∠R = 15.7°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Right triangle RST is shown below with the dimensions given in feet.

Now, By trigonometric formula;

tan x = Opposite / Adjacent

Here, Opposite side of angle R = 17 ft

And, Adjacent side = 63 ft

Hence, We get;

tan x = Opposite / Adjacent

tan R = 17 / 63

tan R = 1/9

R = 15.7°

Thus, The closest value of the measure of ∠R is,

⇒ ∠R = 15.7°

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The answer is (C) 5/2 i.e. the time t guaranteed by the Mean Value Theorem is 5/2.

What is Mean Value Theorem ?

The Mean Value Theorem (MVT) for derivatives states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in (a, b) such that:

f'(c) = \(\frac{f(b) - f(a)}{(b - a)}\)

In this problem, we want to find the time t guaranteed by the MVT when the instantaneous velocity of the rock equals the average velocity between t=0 and t=5/4 seconds.

The instantaneous velocity of the rock at time t is given by the derivative of s(t):

s'(t) = -32t

The average velocity between t=0 and t=5/4 seconds is given by the slope of the line connecting the points (0, s(0)) and (5/4, s(5/4)):

Savg(t) = \(\frac{s(5/4) - s(0)}{5/4 - 0}\) =\(\frac{100 - 16*(5/4)^2}{5}\)

We want to find the time t guaranteed by the MVT when s'(t) equals Savg(t), i.e., when:

\(-32t = \frac{100 - 16*(5/4)^2}{5}\)

Solving for t gives:

t = 5/2

Therefore, the answer is (C) 5/2.

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Answer:

eat sleepless duduehei

Answer:

g = \(\frac{4}{3}\)

Step-by-step explanation:

4 - \(\frac{1}{12}\) g - 2 = \(\frac{3}{2}\) g + 1 - \(\frac{5}{6}\) g

multiply through by 12 ( the LCM of 12, 2 and 6 ) to clear the fractions

48 - g - 24 = 18g + 12 - 10g

- g + 24 = 8g + 12 ( subtract 8g from both sides )

- 9g + 24 = 12 ( subtract 24 from both sides )

- 9g = - 12 ( divide both sides by - 9 )

g = \(\frac{-12}{-9}\) = \(\frac{12}{9}\) = \(\frac{4}{3}\)

Answer:

55 inches

Step-by-step explanation:

2 posters x 28 inches each = 56

221 - 56 = 165 inches

3 blank spaces on wall

165 ÷ 3 = 55 inches between posters and on either side

a) The variable x ≈ 0.958

b) x = 2/3

(a) We can rewrite the equation as follows:

\(x - x^3/3! + x^5/5! - ... = 0.4\)

Let's group the terms with even exponents together and the terms with odd exponents together:

\((x^2/2! - x^4/4! + x^6/6! - ...) - (x^3/3! - x^5/5! + x^7/7! - ...) = 0.4\)

Now we can recognize the series expansions for sine and cosine:

cos(x) - sin(x) = 0.4

Using a calculator, we can solve for x to get:

x ≈ 0.958

(b) We can rewrite the series as follows:

\(1/(3x) + 1/(9x^2) + 1/(27x^3) + ... = 3\)

Let's multiply both sides by 3x:

\(1 + 3/(3x) + 3/(9x^2) + 3/(27x^3) + ... = 9x\)

Now we can recognize the series expansion for the geometric series:

\(1 + r + r^2 + r^3 + ... = 1/(1 - r)\)

where r = 1/3x. So we have:

\(1 + 3/(3x) + 3/(9x^2) + 3/(27x^3) + ... = 1/(1 - 1/3x)\)

Multiplying both sides by (1 - 1/3x), we get:

\((1 - 1/3x) + 3/(3x)(1 - 1/3x) + 3/(9x^2)(1 - 1/3x) + 3/(27x^3)(1 - 1/3x) + ... = 1\)

Simplifying the right-hand side gives:

1 - 1/3 + 1/3 = 1

And simplifying the left-hand side gives:

2/3x = 1

So we have:

x = 2/3

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The value of the constant c is 27/10. Therefore, the function f is continuous on (-infinity, infinity) when the value of the constant c is 27/10.

To determine the value of the constant c is the function f continuous on (-infinity, infinity), we'll use the following two conditions for continuity. The two conditions for continuity are that

limx → a- f(x) = limx → a+ f(x) = f(a). The function will be continuous on the whole real line if both of the one-sided limits are the same as the value of the function at x = 3

Using the above conditions to find the value of c, we get;limx → 3- f(x) = limx → 3+ f(x)

If the function is continuous at x = 3, these two expressions must be equal.

So, limx → 3- f(x) = limx → 3+ f(x) => cx² + 2x = 3³ - c

Applying the limit on the left side of the equation; lim x → 3- (cx² + 2x) = limx → 3+ (x³ - cx) => 9c = 27 - c => 10c = 27 => c = 27/10

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A calculus cheat sheet can be a helpful tool to assist you in studying and reviewing calculus concepts.

Here are some tips for how to use a calculus cheat sheet effectively:

1. Familiarize yourself with the content: Take the time to read through the entire cheat sheet to get a sense of what topics are covered and how the information is organized.

2. Use it as a study aid: A calculus cheat sheet can be a helpful study aid to review concepts and formulas before a test or exam. Work through practice problems and apply the concepts you have learned.

3. Keep it handy: Print out the cheat sheet or save it to your phone or computer so that you can refer to it whenever you need to.

4. Use it as a reference: As you work on calculus problems, use the cheat sheet to remind yourself of key concepts, formulas, and rules.

5. Customize it: You can create your own cheat sheet, which includes the formulas and concepts that you find most challenging. This will help you focus on the areas that you need to improve upon.

Remember that while a calculus cheat sheet can be a helpful tool, it is important to develop a deep understanding of calculus concepts through practice, problem-solving, and building intuition. The cheat sheet should be used as a supplement to your learning, not a replacement for it.

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Answer:

170

Step-by-step explanation:

a straight line is always 180 degrees

Since y =10 than 180-10 is the answer

Answer: The equation is of line "b"

Step-by-step explanation:

Answer:

42 units ^2

Step-by-step explanation:

Break in to a top triangle   a middle rectangle and a bottom triangle

area =   1/2 7 *2      +    4 * 7        1/2 * 2 * 7 = 42 units ^2

Answer: 40%

Step-by-step explanation:

To find the percent, divide the amount donated by the full amount of money raised. 400/1000 = 0.4.

Now to make this into a percentage, multiply the answer by 100. 0.4 * 100 = 40.

Percent of the fund raiser did they donate to charity 40%

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Percentages have no dimension. Hence it is called a dimensionless number. If we say, 50% of a number, then it means 50 per cent of its whole.

To find the percent,

divide the amount donated by the full amount of money raised. 400/1000 = 0.4.

Now to make this into a percentage,

multiply the answer by 100.  0.4 * 100 = 40.

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Both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².

To determine which arrangement of the four juice boxes uses the least amount of plastic wrap, we need to consider the total surface area that needs to be covered in each arrangement.

Arrangement 1:

In this arrangement, we can place the four juice boxes in a 2x2 square configuration, with two boxes stacked horizontally and two boxes stacked vertically. Let's calculate the total surface area to be covered:

Surface area of a single box = 2(lw) + 2(lh) + 2(wh)

= 2(107) + 2(105) + 2(7*5)

= 140 + 100 + 70

= 310 cm²

Since we have four boxes in this arrangement, the total surface area to be covered is:

Total surface area = 4 * 310 cm²

= 1240 cm²

Arrangement 2:

In this arrangement, we can stack the four juice boxes in a single column, one on top of the other. Let's calculate the total surface area for this arrangement:

Surface area of a single box is the same as in the previous arrangement:

Surface area of a single box = 310 cm²

Since we have four boxes stacked vertically, the total surface area to be covered is:

Total surface area = 4 * 310 cm²

= 1240 cm²

Therefore, both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².

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The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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Answer:

look down

Step-by-step explanation:

let length be" x"

accroding to question

breadth= 2x/3

we know,

Area of rectangle= l × b

384=x × 2x/3

calculate

The actual are of the triangle in square feet is 30.375 square feet

The actual area is 1296 times more than the scale drawing

The actual area of the triangle is solved by calculating the area of the triangle on the image and using the scale factor

Area of a triangle is solved by

= 0.5 * base * height

base = 1.5

height = 4.5

Area of the given triangle

= 0.5 * 1.5 * 4.5

= 3.375 square inches

Applying the scale factor: one inch equals three feet

1 inch = 36 inch (3 feet)

1 square inch = 36² square feet

The actual area

= 3.375 * 36²

= 4374 square inch

converting to square feet

= 4374 * 0.00694444

= 30.375 square feet

comparing actual area with the scale drawing

= 4374 / 3.375

= 1296

So, the actual triangle is 1296 times bigger

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The correct option is A.

The linear equation y = 2x + 1 is shown in Graph A.

The equation of a straight line's shape with slope and y-intercept is as follows:

y = mx + b

where

y is equal to a point's y-coordinate on a line.

m is the line's slope.

The point on the line whose y-coordinate is y has the x-coordinate of x.

B is the line's y-intercept, or b.

As opposed to y = mx + b, y = 2x + 1

As we can see, the

m = 2 slope

b = 1 as the y-intercept

The graph that crosses the y-axis at the point where y = 1 is only option A, as shown by the intercept value.

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Note the correct question would be as bellow,

Which graph shows the linear equation y = 2x + 1

The percentage of the corals at the dive site that Sarah observes died more than 12 months ago is 21%.

A percentage is a specification of the quantity of an item in a collection per 100 of all items in the  collection.

The observations of the corals are;

The percentage of the corals that are healthy = 30%

Percentage of the corals that are unhealthy = 40%

Percentage of the corals that are dead = 30%

Percentage of the dead corals that died in the past 12 months = 30%

The percentage of corals Sarah observed died more than 12 months ago; required.

The 30% of the dead corals that died in the last 12 months, indicatesa that the percentage of the dead corals that died more than 12 months ago = 100% - 30% = 70%

The percentage of the dead corals that died more than 12 months ago = 70%

Therefore, the percentage of the population of corals at the dive site that died more than 12 months ago = 70% × 30% = 21%

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Answer:

260

Step-by-step explanation:

1. the z* values based on a standard normal distribution (a) z* = 1.28, (b) z* = 1.39, and (c) z* = 1.75. 2. the z* values based on a standard normal distribution (a) z* = 1.44, (b) z* = 1.64, (c) z* = 2.05

1. (a) For an 80% confidence interval for a proportion, we need to find the z* value that cuts off 10% in each tail. Using a standard normal table or calculator, we find that z* = 1.28.
  (b) For an 82% confidence interval for a slope, we need to find the z* value that cuts off 9% in each tail. Using a standard normal table or calculator, we find that z* = 1.39.
  (c) For a 92% confidence interval for a standard deviation, we need to find the z* value that cuts off 4% in each tail. Using a standard normal table or calculator, we find that z* = 1.75.
2. (a) For an 86% confidence interval for a correlation, we need to find the z* value that cuts off 7% in each tail. Using a standard normal table or calculator, we find that z* = 1.44.
   (b) For a 90% confidence interval for a difference in proportions, we need to find the z* value that cuts off 5% in each tail. Using a standard normal table or calculator, we find that z* = 1.64.
   (c) For a 96% confidence interval for a proportion, we need to find the z* value that cuts off 2% in each tail. Using a standard normal table or calculator, we find that z* = 2.05.

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The exponential function representing the growth of a city’s population over time is y = 220,000(1+0.058)ᵗ, where t represents the number of years since the start of the population study.

The exponential function is used to model the growth of a population over time. In this case, the function takes the form y = a(1+r)ᵗ, where a is the initial population, r is the annual rate of growth, and t is the number of years since the start of the study.

To find the function for the given scenario, we substitute a = 220,000 and r = 0.058, since the population is growing by 5.8% each year. Thus, the exponential function representing this growth is y = 220,000(1+0.058)ᵗ.

This function can be used to predict the city’s population at any given point in time, as long as the rate of growth remains constant.

Overall, the exponential function is a useful tool for understanding how populations change over time, and can be applied to a wide range of real-world scenarios.

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