Rename each fraction using a common denominator for both 1/3 1/4

Answer:

It will be 40

Step-by-step explanation:

Hope this helped have an amazing day!

The given statement is,

→ if u have 10 and add 20 and add 10.

In mathematical expression,

→ (10 + 20) + 10

→ 30 + 10

→ 40 is the answer.

The probability that a patient testing positive for avian influenza with this test is actually infected with avian influenza is approximately 0.803 or 80.3%

To determine the probability, we can use Bayes' theorem. Let's assume that we have 10,000 patients tested. Out of these, 4% (or 400) patients will be infected with avian influenza, and the remaining 96% (or 9,600) will not have the infection.

Out of the 400 infected patients, the test will correctly identify 98% of them, which is 392 patients. However, there will be a false positive rate of 1% among the 9,600 non-infected patients, which is 96 patients.

So, the total number of patients testing positive will be 392 + 96 = 488. Out of these, 392 patients are truly infected, which gives us the probability of a patient testing positive being infected as 392/488 ≈ 0.803.

Therefore, the probability that a patient testing positive for avian influenza with this test is actually infected with avian influenza is approximately 0.803 or 80.3%.

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Answer:

The picture is too blurry to make out!

Step-by-step explanation:

Hey! when you do problems like this it is very easy.

For multiplication: multiply the numbers and add the exponents.

For division: divide the numbers and subtract the exponents.

Answer:

e answer is 3।

Step-by-step explanation:

9³ ÷ 3⁶

(3²)³ ÷ (3)⁶

3⁶‐⁶

3

Answer:

G. 3:5 is the answer.

Step-by-step explanation:

the rest of the choises are wrong.

Answer:

Graph attached as a screenshot. Hope this helps!

scale factor is 2/3

Step-by-step explanation:

because

The greatest height of the hangar is 32 feet.

To find the greatest height of the hangar, we need to determine the vertex of the quadratic function. The vertex represents the maximum point of the curve.

The equation of the curve is given by:

y = -0.02x^2 + 1.6x

The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

For our equation, a = -0.02 and b = 1.6. Substituting these values into the formula:

x = -1.6 / (2 * -0.02)

x = -1.6 / -0.04

x = 40

Now we have the x-coordinate of the vertex, which is 40. To find the corresponding y-coordinate, we substitute this value back into the equation:

y = -0.02(40)^2 + 1.6(40)

y = -0.02(1600) + 64

y = -32 + 64

y = 32

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Answer:

3/1.5=h/5

Step-by-step explanation:

3/1.5=h/5. Solving for the height, you get that h is 5*2=10 m long.

The frequencies of the first three allowed modes of vibration are 4.14 Hz, 8.29 Hz, and 12.43 Hz, respectively.

The given problem can be solved using the formula given below; f_n = (n*v)/(2L), where; f_n - frequency v - velocity of the wave L - length of the wire, n - mode number.

Part a: Given; Length of the wire, L = 1.75 m, Mass of the wire, m = 0.100 kg. Tension in the wire, T = 21.0 N`.

To find the frequency of the wire for the first three allowed modes of vibration, we need to calculate the velocity of the wave, v.

We can use the following formula to calculate the velocity of the wave; v = √(T/m), where; T - tension in the wire, m - mass of the wire.

Substituting the given values, v = √(21.0 N / 0.100 kg) = √(210) = 14.5 m/s.

The frequencies of the first three allowed modes of vibration can be found by substituting the values in the given formula.

For n = 1, `f_1 = (1*14.5)/(2*1.75) = 4.14 Hz.

For n = 2,`f_2 = (2*14.5)/(2*1.75) = 8.29 Hz

For n = 3,`f_3 = (3*14.5)/(2*1.75) = 12.43 Hz.

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Answer:

\(y = \frac{18 {w}^{2} {x}^{2} {z}^{2} }{25} \)

Step-by-step explanation:

\( \frac{3wx}{ \sqrt{2y} } = \frac{5}{2z} \\ \\ \sqrt{2y} \times 5 = 3wx \times 2z \\ \\ \sqrt{2y} \times 5 = 6wxz \\ \\ \sqrt{2y} = \frac{6wxz}{5} \\ \\ {( \sqrt{2y} })^{2} = {( \frac{6wxz}{5} })^{2} \\ \\ 2y = \frac{36 {w}^{2} {x}^{2} {z}^{2} }{25} \\ \\ \\ y = \frac{36 {w}^{2} {x}^{2} {z}^{2} }{25} \div 2 \\ \\ \\ y = \frac{36 {w}^{2} {x}^{2} {z}^{2} }{25} \times \frac{1}{2} \\ \\ \\ y = \frac{36 {w}^{2} {x}^{2} {z}^{2} }{50} \\ \\ \\ y = \frac{18 {w}^{2} {x}^{2} {z}^{2} }{25} \)

I hope I helped you^_^

The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.

Complementary angles are defined as two angles whose sum is 90 degrees. In other words, two angles that add up to 90 degrees are known as complementary angles.

We have the information available from the question:

DE is tangent to circle C, at point F.

Then prove that angle ∠FEC and angle ∠ECF are complementary angles.

We know that the radius of the circle and the tangent on the circle make a right angle at the circumference.

So, angle ∠EFC will be 90°.

and, we also know that:

The sum of all interior angles of the triangle is 180°. Then we have

∠FEC + ∠ECF + ∠EFC = 180°

∠FEC + ∠ECF + 90° = 180°

∠FEC + ∠ECF = 90°

The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.

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The given question is incomplete, for complete question:

To see the attachment.

Based on the given parameters, the value of the money after 9 years is $5534.89

The given parameters about the compound interest are

Principal Amount, P = $3700

Interest Rate, R = 4.5%

Time, t = 9

Number of times, n = 4

To calculate the amount, we have:

A = P + CI

Where

C = P(1 + R)^t

So, we have

A = P(1 + R)^t

This can be rewritten as

A = P(1 + R/n)^nt

Substitute the known values in the above equation

A = 3700 * (1 + 4.5%/4)^(9*4)

Evaluate the expression

A = 5534.89

Hence, the value of the investment after 9 years is $5534.89

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Answer:\(x+8\geq 40\)

Step-by-step explanation:

\(x+8\geq 40\)

subtract 8 from both sides  to isolate x

\(x\geq 32\)

You must spend 32 more dollars to receive three free songs.

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Gary's pay before taxes is $218.88.

Gary's pay before taxes can be calculated by multiplying his hourly rate by the number of hours he worked.

Taxes are compulsory payments made by a government organisation, whether local, regional, or federal, to people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools.

Step 1: Identify the hourly rate and number of hours worked.
Hourly rate: $9.12
Hours worked: 24

Step 2: Multiply the hourly rate by the number of hours worked.
$9.12 * 24 = $218.88

Step 3: The result is Gary's pay before taxes.
Gary's pay before taxes is $218.88.

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Answer: 4 :1 , 2

(The explanation is in the .pdf)

Answer:

The surface area is: 360 millimeters squared

Step-by-step explanation:

Base Surface Area =  10 squared

=  100 millimeters squared

Lateral Surface Area =  

2×10× √  

10/2 squared+ 12 squared

=  260 millimeters squared

Total Surface Area = 360 millimeters squared

Hope this helps!

An equation is formed of two equal expressions. The equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it can be seen that the centre of the ellipse is at (6,2). Also, the major radius is equal to 7 units, while the minor radius is equal to 3 units. The general equation of the ellipse is given as,

(x - h)²/a² + (y - k)²/b² = 1

(x - 6)²/7² + (y - 2)²/3² = 1

[(x-6)²/49] + [(x-2)²/9] = 1.

Hence, the equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1 .

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Answer:

the answer is A on edge :)

Step-by-step explanation:

good luck <3

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Answer: 4548

Step-by-step explanation:

The margin of error at 90% confidence and its interpretation is 0.085. 90% confident that the true proportion of sophomores who will attend Homecoming is within 0.085 of the sample proportion.

The margin of error is defined as a term used in statistics to find the confidence interval. It is denoted by E.

Given, random sample of 92 .

The formula for margin of error is;

\(E = z(\sqrt{(p(1 - p)/n} )\)

The parameters are given as;

Sample size; n = 92

Sample of success; x = 51

Sample proportion:

p = 51/92

= 0.554

z at 90% CL = 1.645

Thus;

\(E = 1.645(\sqrt{(0.554(1 - 0.554)/92} )\)

\(E = 0.085\)

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Answer:

Step-by-step explanation:

Ok:

1. This is a percent problem!

45/100*15=

675/100=

6.75

2. Subtract:

15-6.75=

8.25$

Answer: 8.25$

Answer:

2282 divided by 3over7

Answer:

1304

Step-by-step explanation:

2282:7 =326

326 . 3 = 978

2282 - 978 = 1304

Answer:

A

rise⇵ over run ⇄

the rise is -6 the run is 3

Answer: I do not understand

Step-by-step explanation:

The volume is given by the integral 4π∫[0,1/2] \(y^2\) dy, resulting in a volume of π/6.

To find the volume of the solid obtained by rotating the region bounded by the curves x = 2y, y = 1, and x = 0 about the y-axis, we can use the method of cylindrical shells.

The height of each cylindrical shell will be given by the difference between the x-values of the curves x = 2y and x = 0, which is x = 2y. Since we are rotating about the y-axis, the radius of each shell will be the value of y.

The integral that represents the volume is given by:

V = ∫[a,b] 2πy(x) dy

Where a and b represent the bounds of the y-values.

The curve x = 2y intersects y = 1 when 2y = 1, so y = 1/2. Therefore, the bounds of integration for y are 0 to 1/2.

The integral becomes:

V = ∫[0,1/2] 2πy(2y) dy

Simplifying, we have:

V = 4π∫[0,1/2] \(y^2\) dy

Evaluating the integral, we get:

V = 4π * [\((1/3)(1/2)^3\)-\((1/3)(0)^3\)]

V = 4π * (1/24)

V = π/6

Therefore, the correct integral that represents the volume of the solid is 4π∫[0,1/2]\(y^2\) dy, and the volume of the solid is π/6.

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The coordinate plane, also known as the Cartesian plane, is a two-dimensional plane that is used to plot and locate points using a set of two perpendicular axes. The horizontal axis is called the x-axis and the vertical axis is called the y-axis.

The point where the two axes intersect is called the origin, which is usually denoted by the coordinates (0,0).

Each point in the plane can be located by its unique pair of coordinates (x,y), where x represents the horizontal distance from the origin and y represents the vertical distance from the origin.

To find the slope of the line passing through vertices A and B, we need to use the formula:

slope \(= (y2 - y1)/(x2 - x1)\)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

To find the slope of the line passing through vertices A(-2, 1) and B(-4, 2), we can use the slope formula:

slope = (change in y)/(change in x)  \(= (y2 - y1)/(x2 - x1)\)

Substituting the coordinates of A and B into the formula, we get:

slope  \(= (2 - 1)/(-4 - (-2)) = 1/-2 = -1/2\)

Therefore, the slope of the line passing through vertices A and B is -1/2.

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Answer:

960 dollars

Step-by-step explanation:

Your welcome