A triangle has angles that measure 52.4 and 16.4. Which equation can be used to find the value of x, the third measure of the triangle?

Answer:

Is non-linear

Step-by-step explanation:

It is a quadratic function

The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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The volume of the pyramid is 3733.33 m³.

Having a square base and four lateral sides, a square pyramid is a type of pyramid in geometry. Having three or more triangular faces that intersect above its base, a pyramid is a particular kind of polyhedron (the apex).

The building is in the shape of a square pyramid.

The base of the building is 20 meters long.

The height of the building is 28  meters.

The volume of the right square pyramid is given as:

V = ( 1/3)a²h

Where a is the base and h is the height.

Now we have,

a = 20 m and h = 28 m

So,

V = ( 1/3 ) × 20 × 20 × 28

V = ( 1/3 ) × ( 20 )² × 28

V = 11200/3

V = 3733.33 m³

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The point (25,125) means that the monthly home heating bill was $5 for an average monthly temperature of 1°F.

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

Point (25, 125)

This point can be expressed as

(x, y) = (25, 125)

The average monthly temperature bill is then calculated using the following equation

Average monthly temperature bill = y/x

Substitute the known values in the above equation, so, we have the following representation

Average monthly temperature bill = 125/25

Evaluate

Average monthly temperature bill = 5

Hence, the average monthly temperature = 5

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When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

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Answer:

\(\textsf{b)} \quad (x-3)^2+(y+1)^2=100\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h, k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Given:

Substitute the given center and radius into the formula to create the equation of a circle with the given parameters:

\(\implies (x-3)^2+(y-(-1))^2=10^2\)

\(\implies (x-3)^2+(y+1)^2=100\)

Answer:16

Step-by-step explanation:

By using slope, it can be calculated that

(-8, -5) and (1, 7) represents a line with slope of \(\frac{4}{3}\) and length 15 units

What is slope of a line?

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If \(\theta\)  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = \(tan\theta\)

For the first option

(-11, 7) and (1, -2)

Slope = \(\frac{-2-7}{1 - (-11)}\)

          = \(-\frac{9}{18}\)

          = \(-\frac{1}{2}\)

First option is wrong

For the second option

(-2, -6) and (4, 2)

Slope = \(\frac{2 - (-6)}{4 - (-2)}\)

          = \(\frac{8}{6}\)

          = \(\frac{4}{3}\)

Length =

\(\sqrt{(4 - (-2))^2 + (2-(-6))^2}\\\sqrt{36+64}\\\sqrt{100}\\\)

10 units

Second option is wrong

For the third option

(-3, -2) and (9, 7)

Slope = \(\frac{7 - (-2)}{9 - (-3)}\)

          = \(\frac{9}{12}\)

          = \(\frac{3}{4}\)

Third option is wrong

For the fourth option

(-8, -5) and (1, 7)

Slope = \(\frac{7 - (-5)}{1 - (-8)}\)

          = \(\frac{8}{6}\)

          = \(\frac{4}{3}\)

Length =

\(\sqrt{(1 - (-8))^2 + (7-(-5))^2}\\\sqrt{81+144}\\\sqrt{225}\\\)

15 units

Fourth option is correct

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Answer: y = 1

Step-by-step explanation:

y = 2(-1) +3

y = -2 + 3

y = 1

The distance between two points is a line. The equation of the line is y = 3x - 8

Equation of a line

The equation of a line in slope - intercept form is given as;

y = mx + b

where

m is the slope

b is the intercept

Given the following

slope 'm' = 3

Determine the y-intercept

-2= 3(2) + b

-2 = 6 + b

b = -8

Determine the equation

y = 3x + (-8)

y = 3x - 8

Hence the equation of the line is y = 3x - 8

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The acceleration components of point D are, ax = 3.6 m/s², ay = 6.4 m/s², az = -1.14 m/s²

At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular acceleration of 9 rad/s2. The given diagram is shown below. Angular velocity (w) = 19 rad/sAngular acceleration (α) = 9 rad/s²Plate dimension AB = 0.6 m, BC = 0.2 m, CD = 0.4 m, DA = 0.3 m, AE = 0.3 m and EF = 0.4 m.

Determine the wocl and Dsea of Enter the ", y, and Z components of the velocity separated by commas vec m/sThe velocity components for point D can be calculated using the following formula.Vd = R x wWhere R is the position vector of D relative to the origin.

According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe velocity of point D can be calculated as follows.Vd = R x w = 0.2i + 0.4j + 0.3k x 19The cross product of R and w can be calculated as follows.i j k 0.2 0.4 0.3 0 19 0 = [(0.4 × 0) - (0.3 × 19)] i - [(0.2 × 0) - (0.3 × 0)] j + [(0.2 × 19) - (0.4 × 0)] kVd = -5.7i + 6.8kThus, the velocity components of point D are, Vx = -5.7 m/s, Vy = 0 m/s, Vz = 6.8 m/s

Determine the acceleration of point D located on the corner of the plate at this instant. Enter the, y, and Z components of the velocity separated by commas vec m/sThe acceleration components of point D can be calculated using the following formula.aD = R x α + w x (w x R)Where R is the position vector of D relative to the origin.

According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe acceleration of point D can be calculated as follows.aD = R x α + w x (w x R) = (0.2i + 0.4j + 0.3k) x 9 + 19 x (19 x (0.2i + 0.4j + 0.3k)) = (0.4k - 0.3j) x 9 + 19 x (0.4 x (0.4j - 0.3k))aD = 3.6i + 6.4j - 1.14k.

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Answer:

i think 4/3 is the answer

The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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\(4^x=3 \\\\[-0.35em] ~\dotfill\\\\ 4^{2x-2}\implies 4^{2x}\cdot 4^{-2}\implies (4^x)^2\cdot \cfrac{1}{4^2}\implies \cfrac{(4^x)^2}{16}\implies \cfrac{(3)^2}{16}\implies \cfrac{9}{16}\)

Answer:

A: 6 and 4x

B: SEE BELOW

C: 20 and X

Step-by-step explanation:

A: becuase of the 5 on the outside of the parentheses you would multiply both by 5 making the factors 6 and 4x

B: I just answered it in A

C 5*4x = 20x

20 is the coefficient and X is the variable

Answer:

x-1/3 = k where k=3

We must be happy enough to find the value of only one valuable here, that is, x.

therefore, x-1/3=3

To find what is x-1, all we need to do is,

Take the denominator of the fraction to the answer (3)and multiply them. (that's how you'll find the values in the numerator)

So, you'll get,

x-1=3*3

x-1=9

To find the value of x,

The other number (-1) should be taken to the answer (9)

(Remember that the sign changes when the number crosses the equals sign)

therefore,

x= 9 + 1 (-1 will turn to +1 on crossing the equal sign)

Therefore , by addition, normally,

you'll get x=10

Hope this helps:)

two million four hundred seventy thousand

The statement "For any positive real numbers x and y, x + y >= √xy" can be proven using a direct proof by squaring both sides of the inequality and manipulating the expressions to show their equivalence.

To prove the statement using a direct proof, we start by assuming that x and y are positive real numbers. Our goal is to show that x + y >= √xy.

First, we square both sides of the inequality:

(x + y)^2 >= (√xy)^2

Expanding the left side of the inequality:

x^2 + 2xy + y^2 >= xy

Next, we simplify the inequality by subtracting xy from both sides:

x^2 + xy + y^2 >= 0

This inequality holds true for any real numbers x and y because the sum of squares is always non-negative.

Since we assumed x and y to be positive real numbers, the inequality x^2 + xy + y^2 >= 0 is always true. Therefore, we have shown that x + y >= √xy using a direct proof.

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Answer:

9.3

Step-by-step explanation:

Answer: 9.3

Step-by-step

1lb = 16 oz

20 x 16 = 320

320 oz + 8 oz = 328

1 oz = 0.283495

328 + 0.283495 = 9.298636

Round 9.298636 = 9.3

Answer:

$39.90

Step-by-step explanation:

Ok square, all sides equal.

20ft fence would be perimeter.

Covers is area.

20/4=5

5 is the length of each side.

A=5*5

A=25

one bag=2.5

25=2.5x

x=10

it takes 10 bags of mulch.

10*3.99

$39.90 to cover it all

Answer:

39.90

Step-by-step explanation:

A jet-liner is a type of plane not a model one word hyphenated but two words total.

A jet-liner is a type of plane that is specifically designed for passenger transportation on long-haul flights. It combines the efficiency and speed of a jet engine with a spacious cabin to accommodate a large number of passengers.

Jet-liners are commonly used by commercial airlines to transport people across continents and around the world. These planes are characterized by their high cruising speeds, advanced avionics systems, and extended range capabilities.

They are equipped with multiple jet engines, typically located under the wings, which provide the necessary thrust to propel the aircraft forward. Jet-liners also feature a pressurized cabin, allowing passengers to travel comfortably at high altitudes.

The design of jet-liners prioritizes passenger comfort, with amenities such as reclining seats, in-flight entertainment systems, and lavatories. They often have multiple seating classes, including economy, business, and first class, catering to a wide range of passengers' needs.

Overall, jet-liners play a crucial role in modern air travel, enabling efficient and comfortable transportation for millions of people worldwide.

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Answer:

20 carros

Step-by-step explanation:

Dado que un automóvil tiene cuatro neumáticos, multipliqué la C por 4

M es para motocicletas. ya que las motos tienen 2 neumáticos. Multipliqué M por 2

de hecho, la respuesta está en la imagen de arriba

Answer:

5/6 or 0.83

Step-by-step explanation:

5 ÷ 6 = 0.83 or 5/6

To reverse the order of integration, we need to rewrite the limits of integration in terms of the other variable.
The value of the given integral by reversing the order of integration is (5/12)(\(e^{24}\) - 1).

The given integral is ∫∫ \(5e^{(2x)}\) dx dy, where the limits of x are from 0 to 4 and the limits of y are from 0 to 3y.
To integrate with respect to y first, we need to express the limits of y in terms of x.
From the limits of y given, we have 0 ≤ y ≤ 3y, which simplifies to 0 ≤ y.
Now we need to find the upper limit of y. To do this, we set the expression for the upper limit equal to the constant 12, which is the upper limit of x.
So we have 3y = 12, which gives y = 4.
Thus, the limits of integration become ∫∫ \(5e^{(2x)}\) dy dx, where the limits of y are from 0 to 4 and the limits of x are from 0 to 3y.
Now we can integrate with respect to y:

∫∫ \(5e^{(2x)}\) dy dx = ∫ 0^4 ∫ 0^(3y) \(\int\limits^4_0 \int\limits^{(3y)}_0 5e^{(2x)} dx dy\)
= \(\int\limits^4_0  [5/2 e^{(2x)}]_0^{(3y)} dy\)
= \(\int\limits^4_0  [5/2 (e^{(6y)} - 1)] dy\)
= \([5/12 (e^{(6y)} - 1)]_0^4\)
= \((5/12)(e^{24} - 1)\)
Note that the order of integration can be reversed if the integrand is continuous on a rectangular region that contains the original region of integration.

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Sure!!!

The answer is 4.25555!

Hope this helps! Have a great day! :D :)

Answer:

The answer is 4.2555555556

The actual length of the swimming pool be 15m if the scale used by Luke is 7cm : 3m.

Let the actual length of the pool be x m.

According to the given question.

Luke measured a swimming pool and made a scale drawing. The scale he used was 7 centimeters : 3 meters.

⇒ The scale is 7cm : 3m.

Also, the length of the pool in the drawing is 105cm.

Therefore, the actual length of the swimming pool is given by

7cm : 3m  = 105cm : x          (by proportion fromula)

⇒ 7x = 105

⇒ x = 15m

Hence, the actual length of the swimming pool be 15m if the scale used by Luke is 7cm : 3m.

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The length of PQ is given as follows:

PQ = 5.24 km.

The Law of Cosines is a trigonometric formula that relates the lengths of the sides of a triangle to the cosine of one of its angles. It is also known as the Cosine Rule.

The Law of Cosines states that for any triangle with sides a, b, and c and angle C opposite to side c, the following equation holds true:

c^2 = a^2 + b^2 - 2ab cos(C)

For the angle of 34º, we have that:

Hence the length of PQ is obtained as follows:

(PQ)² = 6² + 9² - 2 x 6 x 9 x cosine of 34 degrees

PQ = sqrt(6² + 9² - 2 x 6 x 9 x cosine of 34 degrees)

PQ = 5.24 km.

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Median = 30.5

Mean = 31.5

========================================================

Explanation:

The first task is to sort the items from smallest to largest.

{14, 16, 48, 22, 50, 39​} sorts to {14, 16, 22, 39, 48, 50​}

The median is the middle-most value. Since we have an even number of items here, the middle-most position is a tie between slots 3 and 4

The values in those slots are 22 and 39 respectively. The midpoint of them is (22+39)/2 = 30.5 which is the median

-----------------

To get the mean, we add up the values

14+16+22+39+48+50​ = 189

Then we divide by 6 since there are 6 numbers here

189/6 = 31.5 is the mean

Answer:

He earned 200 dollars

Step-by-step explanation:

He got a 20% profit.