11- k/2 = 60
what is k?

Answer:

9

Step-by-step explanation:

6 ÷ 2(1+2) = ?

Parenthesis first:

6 ÷ 2(3) = ?

Then do the multiplication and division:

3(3) = ?

9 = ?

Answer:

y = 13

Step-by-step explanation:

y = 3x + 2

y = - 3 ( 5 ) + 2 ( given :- x = 5)

y = - 15 + 2

y = 13

Answer:

-13

Step-by-step explanation:

y=-3x+2

Let x = 5

y=-3*5+2

  = -15+2

   = -13

The best description of the geometric construction of the quotient z/w on the complex plane is; Option A; z is scaled by a factor of One-fifth and rotated 90 degrees clockwise

We are given;

z = 3(cos(15°) + i sin(15°))

w = 5(cos(90°) + i sin(90°))

Now, if we want to find the quotient z/w, it is clear that in geometric construction, the procedure will be to scale z by a factor of 1/5 and thereafter we will rotate by 90° clockwise.

Thus, option A is the correct answer.

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The equation for the described function can be written as:

y = cos(x - π) - 9/2

Let's break down the components of the equation:

The cosine function, cos(x), produces a periodic wave with an amplitude of 1.

The period of the cosine curve is determined by the coefficient in front of the angle, which is 1 in this case. A period of 1 corresponds to one complete cycle of the cosine curve.

The left phase shift of π shifts the entire curve to the right by π units.

The vertical translation down by 9/2 units shifts the entire curve downwards by 9/2 units.

Therefore, the equation y = -cos(x - π) - 9/2 represents a cosine curve with the given characteristics.

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Answer:

No

Step-by-step explanation:

 A circle cannot be described by a function because it fails what is known in High School as the vertical line test. A function, by definition, has a unique output for every input.

Answer:

yes

Step-by-step explanation:

The average weight of a random sample of 50 NFL players is 244.4 pounds.

An equation shows the relationship between two or more numbers and variables.

For a samples size (n) in normally distributed population, the sample mean is normally distributed, with mean μX=μ and standard deviation σX=σ/√n.

Hence for a sample of 50 NFL players with an average weight of 244.4 pounds:

Mean = mean = 244.4 pounds

The average weight is 244.4 pounds.

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\( \qquad \qquad \huge \rm \underline{ \underline{ \Répondre}}\)

Since the two polygons are similar, ratio of their corresponding sides must be equal ~

\(\qquad \rm\dashrightarrow \: \dfrac{m}{28} = \dfrac{30}{40} \)

\(\qquad \rm\dashrightarrow \: \dfrac{m}{28} = \dfrac{3}{4} \)

\(\qquad \rm\dashrightarrow \: {m} = \dfrac{3}{4} \times 28\)

\(\qquad \rm\dashrightarrow \: {m} = {3}{} \times 7\)

\(\qquad \rm\dashrightarrow \: {m} = 21 \: \: units\)

Answer:

Step-by-step explanation:

I'll assume that you meant

(8/13) ln 3 = ln h/12

Applying rules of logs, we get:

(8/13) ln 3 = ln h - ln 12

                = ln h - ln 3 - ln 4         <=  because ln b*c = ln b + ln c

Then (8/13) ln 3 + ln 3 = ln h - ln 4, or

(21/13) ln 3 + ln 4 = ln h  

3^(21/13) * 4 = h                 <=  because ln b*c = ln b + ln c

Answer:

Step-by-step explanation:

Answer:10:05

Step-by-step explanation:

subtract 45 from 50!

Answer:

She started the test at 10:05 am

Step-by-step explanation:

Take the end time and subtract the time of the test

10:50-45 = 10:05

She started the test at 10:05 am

Answer:

16

Step-by-step explanation:

multiple 1 and 4 by 2 and you will get 2 and 8. Then multiply 2 and 8 and you get 16

Answer:

what do you need help with

Step-by-step explanation:

Answer:

Aight what kind?

Step-by-step explanation:

The expression that represents the approximate area of the circle in square inches is 9.42 times 3.

To find the area of the circle, we can consider the parallelogram formed by arranging the equal sectors of the circle. The base of the parallelogram is given as 9.42 inches, and the height is 3 inches.

The area of a parallelogram can be calculated by multiplying the base and the height. In this case, the area of the parallelogram is 9.42 inches times 3 inches.

Therefore, the expression that represents the approximate area of the circle is 9.42 times 3, which simplifies to 28.26 square inches.

It's important to note that the expression provided in the options, 9.42 times 39.42 or any of the other options, does not correctly represent the area of the circle in square inches based on the given information. The correct expression is 9.42 times 3.

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The conclusion that can be made on Suki's prediction is that the dice is fair.

The conclusion made on the prediction is that Suki is right and this is a not a fair dice.

The results in b confirm that this is not a fair dice as the probability of getting a number was approximately the same.

There is no benefit to Suki doing more trials as the dice has been proven unfair.

A fair dice is a six-sided object used in games of chance, where each of the six faces has an equal probability of landing face-up. A fair dice is an example of an unbiased random process, where each possible outcome has an equal chance of occurring.

At first the dice was fair because the probability changed. With 500 throws however, the probability was no longer fair because the experimental probability remained the same as when there were 100 throws.

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The second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.

Let's denote the height at which the second ladder touches the wall as h. We can set up a proportion based on the similar right triangles formed by the ladders and the building:

(6 6 feet) / (h) = (9 9 feet) / (5 5 feet 9 9 inches + h)

To solve for h, we can cross-multiply and solve the resulting equation:

(6 6 feet) * (5 5 feet 9 9 inches + h) = (9 9 feet) * (h)

Converting the measurements to inches:

(66 inches) * (66 inches + h) = (99 inches) * (h)

Expanding and rearranging the equation:

4356 + 66h = 99h

33h = 4356

Solving for h:

h = 4356 / 33 = 132 inches

Converting back to feet and inches:

h ≈ 11 feet

Therefore, the second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.

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When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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The sphere equation x^2 + y^2 + z^2 = 6z becomes:
ρ^2 = 6ρcos(φ)
The cone equation z = √(x^2 + y^2) becomes:
ρcos(φ) = ρsin(φ)
So, the solid lies within the region described by the inequalities:
ρ ≤ 6cos(φ) and ρcos(φ) ≥ ρsin(φ)
These inequalities, along with 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π, define the solid in spherical coordinates.

To describe the solid in terms of inequalities involving spherical coordinates, we first need to convert the given equations to spherical coordinates. In spherical coordinates, we have:

x = r sinθ cosϕ
y = r sinθ sinϕ
z = r cosθ

Substituting these values in the given equations, we get:

r² sin²θ cos²ϕ + r² sin²θ sin²ϕ + r² cos²θ = 6r cosθ
r cosθ = r² sin²θ cos²ϕ + r² sin²θ sin²ϕ

Simplifying these equations, we get:

r = 6 cosθ / (sin²θ cos²ϕ + sin²θ sin²ϕ + cos²θ)^(1/2)
r cosθ = r² sin²θ

Now, the solid lies inside the sphere x2 + y2 + z2 = 6z, which in spherical coordinates becomes:

r² = 6 cosθ

And the solid also lies outside the cone z = x2 y2, which in spherical coordinates becomes:

r cosθ >= r^4 sin^2(θ) cos^2(ϕ) + r^4 sin^2(θ) sin^2(ϕ)
r >= r^3 sin^2(θ) (cos^2(ϕ) + sin^2(ϕ))
r >= r^3 sin^2(θ)

Combining these inequalities, we get the description of the solid in terms of inequalities involving spherical coordinates:

r >= r^3 sin^2(θ) >= (6 cosθ)^(1/2)

This represents the solid that lies inside the sphere x2 + y2 + z2 = 6z and outside the cone z = x2 y2, in terms of inequalities involving spherical coordinates.

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Chadwick pay for all of the shares in 2016 is $19,816.50, $38,919  was the value of all of his shares four years later, The money did he gain with this stock is $19,102.5 and 96.3 is rate of return on his shares when he sold them.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chadwick bought 50 shares of chipotle stock on nov 1, 2016 for $396.33 per share.

After four years he sold it for $778.38 per share.

We need to find  chadwick pay for all of the shares in 2016

Purchase price per share × number of shares.

$396.33 × 50 = $19,816.50

Chadwick pay for all of the shares in 2016 is $19,816.50

Now we need to find the value of all of his shares four years later

Closing price per share × number of ahaf

=$778.38 × 50

= $38,919

$38,919  was the value of all of his shares four years later

The money did he gain with this stock

$(38,919 - 19,816.50)

= $19,102.5

Rate of return on his shares when he sold them?

(Current Purchase - initial value) /current price

(778.3 - 396.33) / 396.33

= (381.97 / 396.33)

= 0.9637675×100

=96.3

Hence, Chadwick pay for all of the shares in 2016 is $19,816.50, $38,919  was the value of all of his shares four years later, The money did he gain with this stock is $19,102.5 and 96.3 is rate of return on his shares when he sold them.

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According to the question a) The measure of each exterior angle is 40°.

Exterior is the outer surface of a building or object. It is the first thing people see and judge when passing by a structure. It is also known as the "envelope" of the building since it encloses and protects the interior from the elements.

This is because the sum of the interior and exterior angles of any regular polygon is always equal to 360°.
Therefore, if one interior angle is 140°, the sum of the exterior angles must be 360° - 140° = 40°.
b) The number of sides in the regular polygon is 9. This is because the measure of each interior angle is 140°, and the formula for finding the number of sides in a regular polygon is 360° divided by the measure of each interior angle.
Therefore, 360° / 140° = 9.
c) The sum of the interior angles is 1260°. This is because the formula for finding the sum of the interior angles of a regular polygon is (n - 2) x 180°, where n is the number of sides.
Therefore, (9 - 2) x 180° = 1260°.

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Answer:

a = -12

b = 3

Step-by-step explanation:

second term = a + 6b

to find the 5th term, notice the pattern (since this is a linear equation, each term increases by the same amount) and each term increases by 4b: 2b -> 6b -> 10b.

therefore, the 4th term would be a+14b and the 5th would be a+18b

so a + 6b = 8

and a + 18b = 44

u now have two simultaneous equations, which can be solved through substitution or elimination. I'm gonna use elimination because it's quicker in this case:

\(a + 6b = 8\\- (a + 18b = 44)\\ -12b = -36\\b = 3\)

steps: (since the a would cancel out by subtracting, subtract then solve for b. divide by -12 on both sides to isolate the b)

now that u know the value of b, substitute it into an equation to solve for a:

a + 6b = 8

a + 6(3) = 8

a + 24 = 8

a = 8 - 24

a = -16

hope this helps!

The standard parameterization for the tangent line  is x = 12t + 18 , y = 3t + 13 , z = 54t + 54

Equation of this type is known as a parametric equation; it uses an independent variable known as a parameter (commonly represented by t) and dependent variables that are defined as continuous functions of the parameter and independent of other variables.

Given that,

Given that, t = t0 = 3, I + (3t + 4) j + (2t 3) k

In order to get the tangent line to the curve at t=3, (x, y, z) = 18, 13, and 54,

r'(t) = 4t, 3, > and r'(t=3) = 12, 3, 54>. (18, 13, 54)

finally,

x = 12t + 18

y = 3t + 13

z = 54t + 54

The tangent line's usual parameterization is as follows:

x=12t+18, y=3t+13, and z=54t+54

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So the answer is 1.3 after rounding to 10.

Answer:

Number of blue markers  = 9

Step-by-step explanation:

Given that there are 24 red markers.

Probability of randomly choosing a red marker is 1 in 3.

Probability of an event E is given as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

That means the ratio of red markers to total markers is 1:3.

Here number of favorable cases are 24 i.e. the number of red markers

and Total number of cases are equal to total number of markers.

Let T be the total number of markers.

As per definition of probability:

\(\dfrac{1}{3}=\dfrac{24}{T}\\\Rightarrow \bold{T = 72}\)

Also, given that the probability of choosing a blue marker is 1 in 8.

Let the number of blue markers be B.

As per definition of probability:

\(\dfrac{1}{8}=\dfrac{B}{72}\\\Rightarrow \bold{B = 9}\)

Hence, the answer is:

Number of blue markers  = 9

Answer:

-15x - 5

Step-by-step explanation:

5x - 15 - 20x + 10

5x - 20x - 15 + 10

-15x - 5

Answer:

the answers are

a)-22

b)22

d)12

Twice a number is 24

2n = 24

Let number = n

According to Question

2 × n = 24

\( \tt \implies 2n = 24\)

TRUE. In a free body diagram, a roller support is replaced by two reaction forces.

A roller support is a type of support that allows a structure to rotate or move along a surface without any resistance to translation. It provides support in the perpendicular direction to the surface, but allows movement in the parallel direction.

To represent a roller support in a free body diagram, two reaction forces are used. One force acts perpendicular to the surface and is known as the normal force. This force prevents the structure from sinking into the surface. The other force acts parallel to the surface and is known as the frictional force. This force prevents the structure from sliding along the surface.

By including these two reaction forces in the free body diagram, the roller support is accurately represented, taking into account the constraints it imposes on the structure.

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Answer: A

Step-by-step explanation:

I had this question on my test yesterday lol

The system of equation will be ". a + c = 90 8a + 5c = 525"

Let the number of adults tickets be represented by a

Let the number of children tickets be represented by c.

Since 90 total tickets were sold, this can be represented by the equation:

a + c = 90

Since adult movie tickets cost $8 each while the children pay $5 for a ticket, and total cost spent is $525, this will be:

8a + 5c = 525

Therefore, the correct option is A.

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The equation that describes the number of bacteria in both the foods when they are mixed is; Option C: 35T₂ + 55T + 450

We are given the equations that describes the number of bacteria in both the foods when they are mixed.

Equation for first bacteria is;

N₁(T) = 15T₂ + 60T + 300

Equation for second Bacteria is;

N₂(T) = 20T² - 5T + 150

The equation that describes the number of bacteria in both the foods when they are mixed is;

N₁(T) + N₂(T) = 15T₂ + 60T + 300 +  20T² - 5T + 150

⇒ 35T₂ + 55T + 450

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To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.

By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.

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