Corde wrote the phrase 2a + 6. How would we write that as a word phrase? 

A) 6 more than the product of 2 and a number
B) 6 less than the product of 2 and a number
C) 6 more than the quotient of 2 and a​

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

answer is 29

Step-by-step explanation:

subtract 27 from 56 and it equals 29

Answer:A

Step-by-step explanation:

There is a pattern where every two days the previous log is multiplied by three. If you divide 3 by 2 you get 1.5 this is the increase per one day so just multiply day 6 by 1.5 to get the answer for day 7.

Answer:

To summarize:

√3 - 6x: Domain is all real numbers (-∞, +∞).

√13 - (13 - 2x): Domain is all real numbers (-∞, +∞).

1/√x - 2: Domain is all real numbers except x = 0, represented as (-∞, 0) U (0, +∞).

Step-by-step explanation:

To find the domain of each expression, we need to identify any restrictions or limitations on the variables that would result in undefined values.

√3 - 6x:

Since square roots are defined for non-negative numbers, the expression is defined as long as the value inside the square root (√3) is non-negative. The square root of 3 is a positive value, so there are no restrictions on the domain of this expression. Therefore, the domain is all real numbers (-∞, +∞).

√13 - (13 - 2x):

Similar to the previous expression, the square root (√13) is defined for non-negative values. However, we also need to consider the expression (13 - 2x) inside the parentheses. This expression does not have any limitations since it is defined for all real numbers. Therefore, the domain of this expression is all real numbers (-∞, +∞).

1/√x - 2:

For this expression, we need to consider both the square root (√x) and the denominator (1/√x). The square root (√x) is defined for non-negative values of x. However, the denominator 1/√x will become undefined if the value of x is zero because division by zero is undefined. Therefore, we need to exclude x = 0 from the domain. For all other non-zero values of x, the expression is defined. Therefore, the domain of this expression is all real numbers except x = 0, represented as (-∞, 0) U (0, +∞).

linearity and relevant range include the use of cost behavior pattern data.

the existence of a chain of thoughts or actions wherein one directly follows another: True autobiographies rarely have a linear structure. We don't have a linear existence. Constantly thrown off balance is the narrative's traditional linearity.

The accounting phrase "relevant range" refers to the production or activity parameters that a company must adhere to in order to keep its fixed costs constant. Fixed costs in accounting are constant and unaffected by particular production rates.

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Answer:

The answer is below

Step-by-step explanation:

A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0​ (poorest rating) to 9​ (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year​ 2020, the engineers forecast that 4​%of all major bridges in that city will have ratings of 4 or below.

a. Use the forecast to find the probability that in a random sample of major bridges in the​ city, at least 3 will have an inspection rating of 4 or below in 2020.

Answer:

This problem is a probability binomial distribution and it can be solved using the formula:

\(P(X=x)=C(n,x)p^xq^{n-x}\\\\q=1-p,C(n,x)=\frac{n!}{x!(n-x)!}\)

Hence the solution to the problem is given as:

P(x ≥ 3) = 1 - P(x < 3) = 1 - [ P(x=0) + P(x=1) + P(x = 2)]

Given that p = 4% = 0.04, q = 1 - p = 1 - 0.04 = 0.96, n = 10. Hence:

\(P(x=0)=C(10,0)*0.04^{0}*(0.96)^{10-0}=0.6648\\\\P(x=1)=C(10,1)*0.04^{1}*(0.96)^{10-1}=0.277\\\\P(x=2)=C(10,2)*0.04^{2}*(0.96)^{10-2}=0.0519\\\\P(x\geq 3)=1-[0.6648+0.277+0.0519]=0.0063\)

Answer:

Step-by-step explanation:

You probably should check for silly mistakes.

Answer:

the son age is 13band Evans age is 52 years old at present day

Dan is 12 years old.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the Age of Dan is x years

Mr. Evans Age = 4x

If Mr. Evans was 46 years old 2 years ago

The, Present age of Mr. Evans = 48 years

So, Dan's Age = 48/4

                        = 12 years.

Hence, Dan is 12 years old.

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The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Answer:

Step-by-step explanation:

Comment

(Fans who received a baseball) = 2500

Total number of seats in Yankee Stadium = 50086

P(those who got a baseball) = 2500 / 50086

Answer P(Those who got a baseball) = 0.04991 rounded.

After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

An example of "an enumeration of its range {aξ : ξ < α}" in this case would be the list of natural numbers {0, 1, 2, 3, ...}, which represents the ordinal numbers less than ω^2.

An example of "an enumeration of its range {aξ : ξ < α}" can be found in the context of ordinal numbers.

Let's consider the ordinal number α = ω^2, where ω represents the first infinite ordinal (the set of all natural numbers). In this case, the range {aξ : ξ < α} refers to the collection of all ordinal numbers that are less than α.

The ordinal numbers less than ω^2 can be enumerated as follows:

a0 = 0

a1 = 1

a2 = 2

...

an = n

...

Each natural number n corresponds to an ordinal number less than ω^2. The enumeration continues indefinitely, as there are infinitely many ordinal numbers less than ω^2.

So, an example of "an enumeration of its range {aξ : ξ < α}" in this case would be the list of natural numbers {0, 1, 2, 3, ...}, which represents the ordinal numbers less than ω^2.

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Answer:

Sample size should be less than 85

Step-by-step explanation:

Sample size should be less than 85

Step-by-step explanation:

To use the infinite standard deviation formula, n has to be <= (0.05)(1700)

n <= 85

So the sample size has to be less than 85

In another way too,

n = sample size

N = population size

For population, we multiply correction factor to the infinite standard deviation

F is <= 0.05

\(n/{N} <0.05\)

n<0.05x1700

n<85

Sample size should be less than 85

The measure of the arc or angle is:

m∠NLM = 60 deg

From the given figure, line LN is the diameter. Thus, the measure of arc LN is 180° (semicircle).

Thus, we can say:

arc NM + arc ML = 180°

(3x + 21) + (8x + 16) =  180°

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143/11

x = 13

arc NM = 8x + 16

put x = 13:

arc NM = 8(13) + 16 = 120°

Recall that:

The measure of inscribed angle is half the measure of its intercepted arc. That is:

m∠NLM = 1/2 * 120°

m∠NLM = 60°

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Answer:

447.23

Step-by-step explanation:

832.48 - 385.25

Therefore the solution of the given question of equation comes out to be the object will hit the ground after 6 seconds.

Two variables that are equal—one on each side of a "equals" sign—are represented mathematically by an equation. Equations can be used to solve problems in daily life. To tackle challenges in real life, we frequently seek pre algebra assistance. The very foundation of mathematics is pre-algebra.

Here,

Given : -4.9t² + 2.94t + 25.48

Then,

To find the When does the object strike the ground :

We get :

=> -4.9t² + 2.94t + 25.48 = 0

Using discriminant formula

We find the value of t:

=> t = -19.6 ±\(\sqrt{19.6^{2} - 4 (-4.9)(25.48)}\) /  2(-4.9)

=> t =-2 or 6

So we neglect -2

So solution for t = 6 seconds

Therefore the solution of the given question of equation comes out to be the object will hit the ground after 6 seconds.

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The volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

To find the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells, we need to follow these steps:

Sketch the region and the axis of rotation. The region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) is a quarter-circle with radius 2 centered at the origin. The axis of rotation is the x-axis.

Choose a vertical strip with width $\Delta x$ that runs parallel to the y-axis and intersects the region. The height of this strip is given by the equation $y = 4 - x^2$.

Imagine rotating this strip around the x-axis to form a cylindrical shell with thickness \($\Delta x$\), height \($4 - x^2$\), and radius \($x$\).

The volume of this cylindrical shell is given by the formula \($V = 2\pi x(4-x^2)\Delta x$\).

To find the total volume of the solid, we need to add up the volumes of all the cylindrical shells. This can be done by taking the limit as the width of the strips $\Delta x$ approaches zero and summing up the volumes of the resulting shells. This gives us the integral:

\($V = \int_{0}^{2} 2\pi x(4-x^2) dx$\)

We can simplify this integral by expanding the expression inside the parentheses, which gives us:

\($V = \int_{0}^{2} 8\pi x - 2\pi x^3 dx$\)

We can then integrate each term separately to get:

\($V = [4\pi x^2 - \frac{1}{2}\pi x^4]_{0}^{2}$\)

\($V = (4\pi \cdot 2^2 - \frac{1}{2}\pi \cdot 2^4) - (4\pi \cdot 0^2 - \frac{1}{2}\pi \cdot 0^4)$\)

\($V = 8\pi - 4\pi = 4\pi$\)

Therefore, the volume generated by rotating the region bounded by the curves \($x = \sqrt{y}$\), \($x = 0$\), and \($y = 4$\) about the x-axis using the method of cylindrical shells is \($4\pi$\) cubic units.

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Answer: 0.0016

Step-by-step explanation: To find the fraction square root, first, find the square root of the numerator and then find the square root of denominator. After finding the square root values, simplify the fraction.

Answer:

The height of the cylinder is 0.497.

Step-by-step explanation:

Given that the Volume of a cylinder is 25 and the radius is 4, to determine what is the height of said figure, the following calculation must be performed, knowing that the volume of a cylinder is calculated using the following formula (3.14 x r^2 x h = X):

3.14 x (4x4) x h = 25

3.14 x 16 x h = 25

50.24 x h = 25

h = 25 / 50.24

h = 0.497

Therefore, the height of the cylinder is 0.497.

Answer:

BOTH THE QUESTIONS ARE SAME!!

When finding a perpendicular slope, you need to change the signs and flip the reciprocal

The answer to your question is:

m = -2

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

y = x + 6

Step-by-step explanation:

Answer:

17, 18, 19, 20

Explanation:

Let the numbers be x, x + 1, x + 2, x + 3

Their sum is equals to 74

x + x + 1 + x + 2 + x + 3 = 74     (group the variables)

x + x + x + x + 1 + 2 + 3 = 74    (simplify)

4(x) + 6 = 74                             (subtract both sides by 6)

4x = 68                                     (divide both sides by 4)

x = 17

Other numbers:

x + 1 = 17 + 1 = 18

x + 2 = 17 + 2 = 19

x + 3 = 17 + 3 = 20

Answer:

17, 18, 19, 20

Step-by-step explanation:

The measure of the angles are;

<KL = 23 degrees

m<LON is 23 degrees

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 157 degrees

To determine the measures of the arc, we need to note the following;

From the information shown in the diagram, we have;

<KL +<KM = 90 degrees

Now, substitute the values

<KL + 67 = 90

collect like terms

<KL = 23 degrees

m<LON and <KL are corresponding angles

Then, m<LON is 23 degrees

m<OM = m<LON + 90 degrees

Substitute the values

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 90 + <LM

Substitute the values

m<NL = 157 degrees

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Yes, the additional education costing $36,000 will pay for itself in less than 2 years based on the increased earning potential.

To determine whether the additional education costing $36,000 will pay for itself, we need to consider the time it takes to recover the investment through the increased earning potential.

The additional yearly earning potential is the difference between the post-education income ($39,746) and the pre-education income ($21,484), which is $18,262.

To calculate the payback period, we divide the cost of education ($36,000) by the annual increase in earning potential ($18,262).

Payback Period = Cost of Education / Annual Increase in Earning Potential

Payback Period = $36,000 / $18,262

The payback period is approximately 1.97 years, meaning that it would take approximately 1.97 years to recover the cost of education through the increased earning potential.

If the time required to recover the cost is less than the time in which the increased earning potential will be realized, then the additional education would be considered to have paid for itself.

In this case, since the payback period is less than 2 years and the increased earning potential will continue for subsequent years, it can be concluded that the additional education costing $36,000 will pay for itself over time.

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Answer:

\(\frac{\left(t-h\right)}{k}\\\) = g

Step-by-step explanation:

Subtract the h

t = h+kg

-h  -h

you get:

t-h=kg

now divide the k from both sides

\(\frac{\left(t-h\right)}{k}\\\) = \(\frac{\left(kg\right)}{k}\)

so,

\(\frac{\left(t-h\right)}{k}\\\)=g

Answer:

11 years

Step-by-step explanation:

Understanding the situation

School A has graduated 1,700 students and graduates 50 students every year. The total amount of graduates at school A can be represented by the equation g = 50Y + 1700

School B has graduated 600 students, and graduates 150 every year. The total amount of graduated students at school B can be represented by the equation g = 150Y + 600

Using these two equations we want to find how many years it will take before school B has as many graduates as school A

Determining the number of years

To do so we must set the two equations equal to each other as both represent equations that represent the total number of graduates at the school after "y" years.

Doing so we would get 50Y + 1700 = 150Y + 600

Now we would just solve for Y algebraically

50Y + 1700 = 150Y + 600

==> subtract 600 from both sides

50Y + 1100 = 150Y

==> subtract 50Y from both sides

1100 = 100Y

==> divide both sides by 100

11 = y

So it will take 11 years for school B to have as many graduates as school A

Checking our work

We can also check our work by plugging in y = 11 and evaluating , if both equations have the same outcome we are correct

for school A : g = 50Y + 1700

==> plug in y = 11

g = 50(11) + 1700

==> multiply 50 and 11

g = 550 + 1700

==> add 1700 and 550

g = 2250

for school B : g = 150y + 600

==> plug in y = 11

g = 150(11) + 600

==> multiply 150 and 11

g = 1650 + 600

==> add 1650 and 600

g = 2250

both had an outcome of 2250 graduates so our answer is correct!

Answer:

x=3

Step-by-step explanation:

You can get the answer by substituting the value of x in the equations, your aim is to find a number that will make both equations equal zero.