halfway between -5/6 and 1/3 on a number line

Answer:

The second test result will be lower and more sensitive to changes than the first test result and it will better test the efficacy of the PSA screening test

Step-by-step explanation:

The evaluation the epidemiologist are planning = Prostrate Specific Antigen, PSA, screening test

The given difference between the first and second study = The age range of the study group

The age range of the first study = 60 to 75 years

The age range of the second study = 44 to 59

The prevalence of prostrate cancer in men 44 to 59 years of age < The prevalence of prostrate cancer in men 60 to 75 years of age

Therefore, due to the low prevalence, the result of the second test will be more sensitive than the result of the first test.

The solution for given differential equation is y = c1e^(-x^3/3) + c2xe^(-x^3/3)

This is a second-order linear differential equation with constant coefficients. To solve this equation, we can use the method of an auxiliary equation, which is 3r^2 + 6r + 1 = 0. This equation has two complex conjugate roots, r = -3 ± i√3. Therefore, the solution of the differential equation is y = c1e^(-x^3/3) + c2xe^(-x^3/3)cos(√3x^2/2) + c3xe^(-x^3/3)sin(√3x^2/2), where c1, c2, and c3 are arbitrary constants.

The method of an auxiliary equation is a popular way to solve second-order linear differential equations with constant coefficients. It involves finding the roots of an auxiliary equation, which is found by setting the coefficient of the second derivative equal to zero.

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Answer:

x = - 6

y = - 2

Step-by-step explanation:

Given,

y = - 2

To find : x = ?

1x - 5y = 4

x - 5 ( - 2 ) = 4

x + 10 = 4

x = 4 - 10

x = - 6

Answer:

107

Step-by-step explanation:

3x + 16 + 5x - 4 = 180 (Being linear pair)

8x + 12 = 180

8x = 180 - 12

8x = 168

x = 21

3x + 16 = 3 * 21 + 16 = 79

< C = 79 ( being corresponding angles)

< d + < c = 180 ( being linear pair)

< d = 180 - 79

< d = 107

Hope it will Help :)❤

Answer:

i hope it helps

thank you

Answer:

uhhh ima guess 1/2

Step-by-step explanation:

because 6-5 is 1 and 1 is 1/2 in fractions ig

The number of books that Sofia read is 32 books and the brother read 8 books.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

From the information, Sofia and her brother combined to read a total of 40 books over the summer sofia read four times as many books as her brother how many books did each person read

Let the number of books read by the brother = x

Number of books read by Sofia = 4x

Therefore, x + 4x = 40

5x = 40.

Divide

x = 40 / 5

x = 8

The brother read 8 books

Sofia read = 4x

= 4 × 8

= 32 books.

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I don't know Spanish but I'm reasonably sure I know what the questions are asking. Please correct me if I'm wrong.

a. f(2) = -2^2+4(2)-10 = -4+8-10 = -6.

b. g(6) = 5(6)+1 = 30+1 = 31.

c. f(-1) = -(-1)^2+4(-1)-10 = -1-4-10 = -15.

d. This is saying to solve g(x)=16:

The answer is x=3.

1

To find an unknown number we can use properties of equality.

Algebraic Method

Another word to describe an unknown number is "variable". For the equation, I will call this variable x. Any variable can be used, but x is the most common.

We can write an equation to describe the situation. The statement says that the product of 15 and x is 15. This means that 15 * x = 15. Now we can use algebra to solve this equation.

To find x, divide both sides by 15.

Identity Property of Multiplication

Additionally, if you know all the properties of equality, you can answer this question without doing any math. One of the properties of equality is the identity property of multiplication. The identity property states:

This means that any number multiplied by 1 is itself. So, since the factor and product are equal, the other factor must be 1. If you plug 15 in for a, you can see how this property applies to this situation.

Answer:

0.25 in/h

Step-by-step explanation:

1. change 2 3/4 t0 2.75

2. 2.75/11= 0.25

0.94 cups of milk is required for 5 batches of the macaroni and cheese.

Given that the recipe for macaroni and cheese takes:

3 tablespoons of milk

and 2 tablespoons of butter

To find: the number of cups of milk required

Let m be the number of cups of milk is required to make 5 batches of the macaroni and cheese.

a batch of the macaroni and cheese require 3 tablespoons of milk .

So by unitary method for 5 batches of the macaroni and cheese,

(5 × 3) = 15 tablespoons of milk is required.

We know that 1 US Cup = 16 US tablespoons

So by unitary method,

m = 15/16 cups of milk

m = 0.94 cups of milk

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Answer: Choice D

Step-by-step explanation: A dilation would result in a similar triangle because multiplying by the scale factor will create proportional sides. However, this will change the size of the triangle, making it not congruent.

Answer:

D.

Step-by-step explanation:

Congruent means that the triangles are exactly the same in shape and size.

Dilating the triangle is the only answer that will change its size.

Answer:

Volume are over 120-177 because the layers are communicate each factors and angles..

Step-by-step explanation:

both 6 have 3 factors

A are for equation

5 centimeters are not allowed to communicate with other lessons and Numerator numbers...

HOPE IT HELPS!!

Answer:

Step-by-step explanation:

The X intercept is 1 and the y-intercept is 1 aswell.

Answer:

x intercept: 1

y intercept: 1

Step-by-step explanation:

also, where u wrote quad: IIII, four in roman numerals in IV not IIII

Answer:

here you go

Step-by-step explanation:

8)10

9)3

10)increase

11) decrease

12)increase

13)constant

On solving the provided question, we can say that  - he need 56  answers he need to get correct if he want a grade of 80 percent on a test with 70 questions

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. It has no measuring systems. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) * 100%.

Assuming that all of the questions are equally weighted, 56 is equal to 80% of 70. (.80)(70)=56 Therefore, 56 out of 70 is the lowest number you may get correct, or 80%.

So, the maximum number of questions you may omit is 14. As an alternative, if you desire 80% accuracy, you can have no more than 20% errors.

20% of 70

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the statement that "you walk at a constant rate" tells us that the relationship is indeed proportional, namely, there's a value in the input that's consistent or common yielding the output.

Check the picture below.

to get the equation of any straight line, we simply need two points off of it, for the distance "from school" table, let's use those two points in that table

[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{0.5})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{1.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1.5}-\stackrel{y1}{0.5}}}{\underset{\textit{\large run}} {\underset{x_2}{30}-\underset{x_1}{10}}}\implies \cfrac{1}{20}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0.5}=\stackrel{m}{\cfrac{1}{20}}(x-\stackrel{x_1}{10})\implies y-0.5=\cfrac{1}{20}x-\cfrac{1}{2} \\\\\\ y=\cfrac{1}{20}x-\cfrac{1}{2}+0.5\implies y=\cfrac{1}{20}x-\cfrac{1}{2}+\cfrac{1}{2}\implies \boxed{y=\cfrac{1}{20}x}[/tex]

For repairs that take five hours to complete, Charles and Paul will each charge a total of $120.

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change.

For charting linear functions, there are three fundamental techniques. The first method involves tracing a line through a set of points that have been plotted. The second method makes use of the slope and y-intercept. Applying transformations to the identity function f(x)=x f(x) = x is the third step.

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y = -3

Slope intercept form is y = mx + c.

"m" is the slope and "c" is the y-interecept.

The slope is calculated by dividing the change in y values by change in x values. However, you can see from these two points that as the value of x changes, the value of y stays the same (-3). This means the slope is zero, as it doesn't move up in the y-direction at all.

This means y = 0x + c

You can substitute 14 for y and -3 for x from the first point to get:

-3 = 0(14) + c

-3 = c

y = 0x + -3

Which is the equation of the line in slope-intercept form.

This is the same as saying y = -3, as for every x value, y will always be -3.

Answer: 5k^2-7k-4

Step-by-step explanation: substitute (k-1) in for the x's

5(k-1)^2+3(k-1)-6

(k-1) * (k-1) = k^2-2k-1

5(k^2-2k-1) = 5k^2-10k+ 5

then do 3(k-1)-6

3k-3-6 (combine like terms)

3k-9

5k^2-10k+5 +3k-9 (combine like terms again)

5k^2-7k-4

hope this helps (^_^)

The area of the base of the bin is 9 ft^2.

The given information states that the bin is filled with 126 cubes that have edge lengths of 1/3 ft. To determine the area of the base of the bin, we must first determine the total volume of the bin.

Since each cube has a volume of 1/27 ft^3, the total volume of the bin is 126/27 ft^3. Since the volume of a rectangular prism is equal to the length times the width times the height, we can solve for the area of the base of the bin by rearranging the formula to A = V/h, where A is the area, V is the volume, and h is the height.

We can substitute the values given to obtain A = 126/27 ft^3/h. Since the height of the bin is equal to the edge length of the cubes, which is 1/3 ft, we can substitute that value into the equation to get A = 126/27 ft^3/1/3 ft = 9 ft^2. Therefore, the area of the base of the bin is 9 ft^2.

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Answer:

Exact: A = (3.28 + 8π) cm²

Approximate: A = 57.13 cm²

Step-by-step explanation:

The right part of the red figure is a rectangle which is half of the square.

The left half of the red figure is a semicircle.

A = LW + ½πr²

A = (4 cm)(8 cm) + ½(π)(4 cm)²

A = (32 + 8π) cm² (exact)

A = 57.13 cm² (approximate)

Pi = 3.14

Diameter (d) = 86 cm

•°• Radius (r) = 86 ÷ 2 = 43 cm (radius is 1/2 of diameter)

Area of the circle = ?

Formula,

[tex]\pi( {r})^{2} [/tex]

Substitute the value of 'r' & pi in the formula.

[tex]\pi(43) {}^{2} \\ = 3.14 \times 43 {}^{2} \\ = 3.14 \times 1849 \\ = 5805.86 \: \: cm {}^{2} [/tex]

⎆ The area of the circle is about 5805.86 cm² (approx.)

Answer:

238

Step-by-step explanation:

Answer:

12" 15"

Step-by-step explanation:

The length of the actual statue in feet would be = 64.96 ft

A scale model is defined as the the exact type of an object but with a different measurement.

The scale model of a statue = 1 In = 11.2 ft

The length of the model = 5.8 inches

Therefore it length in feet = X ft

That is; 1 in = 11.2 ft

5.8 in = X ft

make X ft the subject of formula;

X ft = 5.8 × 11.2 = 64.96 ft

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The dimensions of the flag are:

length = 19 feet and width = 10 feet

Let 'l' be the length of the flag and 'w' be the width of the flag.

The length of the flag is 9 feet longer than the width.

So, we get an equation

l = 9 + w                ............(1)

The flag has a perimeter of 58 feet.

We know that the formula for the perimeter of rectangle:

P = 2(l + w)             ..............(2)

Here, P = 58 feet

Substitute the value of P in equation (2)

58 = 2(l + w)                

29 = (9 + w) + w                      ..........(from (1))

29 - 9 = 2w

2w = 20

w = 10

Substitute this value in equation (1),

l = 9 + 10

l = 19 feet

Therefore, length = 19 ft and width = 10 ft

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The domain of an exponential function is all real numbers. In the interval notation is (-∞, ∞).

What is interval notation?

A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 ≤ x ≤ 1 .

Given exponential function is f(x) = B^x.

A function with an exponent as the independent variable is called an exponential function. The general form of an exponential function is y = f (x) = B^x, where B > 0 and a > 1, and x is any real number. The function is undefined for -1 < x < 1 if an is negative, which is why a > 0 is true. The function can have a domain that includes all real numbers by limiting a to positive values.

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Answer:

B.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

0.52

Step-by-step explanation:

From the above question:

48% of students in a school are girls.

Let the total percentage of students = 100%

The percentage representing boys = 100% - 48% = 52%

Hence, the probability that a boy is picked​ = P(boy) = Percentage of boys/ Total percentage

P(boy) = 52%/100%

= 0.52/1

= 0.52

Therefore, the probability that a boy is picked is 0.52