Solve for x in the equation x 2 - 4 x - 9 = 29.

Ones is the place value of the digit 6 in the number 2,016 and 6 is the face value of the digit 6 in the number 2,016.

Given, a number 2,016

we have to find the place and face value of 6 in the given number 2,016.

So, the Place value of 6 in the given number is ones.

Ones is the place value of the digit 6 in the number 2,016

Also, the Face value of 6 in the given number is 6.

6 is the face value of the digit 6 in the number 2,016

Hence, Ones is the place value of the digit 6 in the number 2,016 and 6 is the face value of the digit 6 in the number 2,016.

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Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Answer:

60 guests

Step-by-step explanation:

We'll say that the number of guests is n.

We're looking for the n where both of these expressions are equal:

Company A (500 set-up fee, 25 for each guest)

500 + 25 * n

Company B (200 set-up fee, 30 for each guest)

200 + 30 * n

500 + 25n = 200 + 30n

Subtract 200 from both sides.

300 + 25n = 30n

Subtract 25n from both sides.

300 = 5n

We'll reverse the sides.

5n = 300

Divide both sides by 5.

n = 300/5 = 60

Thus, both companies are equal when n is 60, or when there are 60 guests.

Answer:

-1.00

Step-by-step explanation:

khan

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer & Step-by-step explanation:

Regression studies the relationship between independent / explanatory  (causal) variable, dependent / response (effected) variable. Scatter plot is a diagrammatic representation of regression.

Aspartame Concentration, being a toxic substance, is likely to have negative regression relationship with mice survival rate. It implies that higher concentration leads to lower mice survival, & lower concentration leads to higher mice survival.

The relationship can be strong or weak, depicted by 'r' magnitude, depending upon the intensity of concentration impact on survival. If more percent of the variation in survival rate can be explained by variations in  concentrations, regression coefficient is high. If less percent of the variation in  survival rate can be explained by variations in concentrations, regression coefficient is low

Therefore, the bones were 6612.5 years old at the time they were discovered.

Given that the radioactive element​ carbon-14 has a​ half-life of 5750 years, and a scientist determined that the bones from a mastodon had lost 57.5​% of their​ carbon-14, to determine how old were the bones at the time they were discovered, the following calculation must be made:

Therefore, the bones were 6612.5 years old at the time they were discovered.

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Answer:Therefore, the bones were 6612.5 years old at the time they were discovered.

Step-by-step explanation:

Astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

It should be noted that astronomers study stars, planets, and other celestial bodies. It should be noted that they use ground-based equipment, like optical telescopes, and space-based equipment. Some astronomers study distant galaxies and phenomena such as black holes and neutron stars.

In this case, astronomers can use geometry to measure the distance of objects in space and describe ttheir relationship.

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Answer:

distance between, motion

Step-by-step explanation:

plato, I got it right

Out of $205000, the total commission earned by the agent will be $12300.

A commission is a fee paid to a salesperson in exchange for services in facilitating or completing a sale transaction. Mathematically -

Commission [C] = Sales revenue [R] x commission rate [rc]

Given is an agent who lists a sellers house for 6% commission. The final agreed sales price is $205,000.

The total sales price = [P] = $205000

The commission on house = [C] = 6%

Now, the money agent gets as a commission will be = [M] -

[M] = 6% of 205000

[M] = (6/100) x 205000

[M] = 6 x 2050

[M] = 12300

Therefore, out of $205000, the total commission of the agent will be $12300.

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Answer:

875

Step-by-step explanation:

30*15=450

30*10=300

20*5=100

12.5+12.5=25

450+300+100+25=875

I worked from bottom to top

Answer:

875 ft²

Step-by-step explanation:

Let's split the figure along the two dotted lines. Then, we're left with two rectangles and a trapezoid at the top.

The area of a rectangle is A = lw, where l is the length and w is the width.

For the bottom rectangle, the length is 15 ft and the width is 30 ft. So:

A = lw = 15 * 30 = 450 ft²

For the middle rectangle, the length is 10 ft and the width is still 30 ft, so:

A = lw = 10 * 30 = 300 ft²

The area of a trapezoid is denoted by A = (b1 + b2) * h/2, where b1 and b2 are the two bases and h is the height.

Here, the bigger base, b2, is still 30 ft. The smaller base, however, is actually 30 - 5 - 5 = 20 ft. The height is 5 ft. So, plug these in:

A = (b1 + b2) * h/2

A = (20 + 30) * 5/2 = 50 * 5/2 = 250/2 = 125 ft²

Finally, add all these disparate areas together:

450 + 300 + 125 = 875 ft²

9514 1404 393

Answer:

Step-by-step explanation:

Put the argument where the variable is and simplify.

a)

  \(f(a)=7a+3\)

__

b)

  \(f(a+h)=7(a+h)+3=\boxed{7a+7h+3}\)

__

c)

  \(\dfrac{f(a+h)-f(a)}{h}=\dfrac{(7a+7h+3)-(7a+3)}{h}=\dfrac{7h}{h}\\\\=\boxed{7}\)

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

5: 44  6: 1.762 x 10^3

Step-by-step explanation:

5:

64 / (4x4) x (3x3) + (2x2x2)

64 / 16 x 9 + 8

4 x 9 + 8

36 + 8

44

(a) f(x) =  \(log_2(x)\) is a logarithmic function

(b) g(x) = ∜x is a root function

(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function

(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2

(e) v(t) = \(5^t\)is an exponential function

(f) w(θ) = sin θ \(cos^{2}\theta\) is a trigonometric function.

(a) f(x) = \(log_2(x)\) is a logarithmic function. Logarithmic functions have the logarithm of the independent variable as the output. Here, the logarithm base is 2.

(b) g(x) = ∜x is a root function. Root functions have the square root or higher roots of the independent variable as the output. Here, the root is a cube root.

(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function. Rational functions are functions that are expressed as the quotient of two polynomials. Here, the numerator is a cubic polynomial and the denominator is a quadratic polynomial.

(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2. Polynomials are functions that are expressed as a sum of powers of the independent variable, with coefficients. The degree of a polynomial is the highest power of the independent variable.

(e) v(t) = \(5^t\) is an exponential function. Exponential functions have the independent variable as the exponent. Here, the base is 5.

(f) w(θ) = sin θ \(cos^{2}\theta\) is an algebraic function and a trigonometric function. Algebraic functions are functions that can be expressed using arithmetic operations and algebraic expressions. Trigonometric functions are functions that involve the ratios of the sides of a right triangle. Here, the function is a combination of sine and cosine functions.

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The complete question is -

Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.

(a) f(x) =  \(log_2(x)\)    

(b) g(x) = ∜x    

(c) h(x) = \(2x^3/(1 - x^2)\)    

(d) u(t) = 1 - 1.1t + \(2.54t^2\)                    

(e) v(t) = \(5^t\)    

(f) w(θ) = sin θ \(cos^{2}\theta\)

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

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

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Answer:

The area of this circle is \((\frac{\pi}{2} )\)  the area of the square.

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Therefore, Φsquare is \((\frac{2}{\pi} )\) ϕcircle

Step-by-step explanation:

Area of the circle is given by;

\(A_c = \frac{\pi d^2}{4}\)

Area of the square is given by;

\(A_s = L^2\)

relationship between the edge length of the square, d, and length of its side, L,

\(d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}\)

But area of the square , \(A_s = L^2\)

\(d = \sqrt{2A_s}\)

Then, the area of the square in terms of the edge length is given by;

\(A_s = \frac{d^2}{2}\)

Area of the circle in terms of area of the square is given by;

\(A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )\)

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Ф = E.A

Flux through the surface of the circle is given by;

\(\phi _{circle} = E.(\frac{\pi d^2}{4})\)

Flux through the surface of the square is given by;

\(\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )\)

Therefore, Φsquare is \((\frac{2}{\pi} )\) ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is \(\rm \dfrac{\pi }{2}\) the area of the square

The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Φsquare is \(\dfrac{2}{\pi}\)  ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square

For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.

Therefore, Φsquare is ________ ϕcircle .

1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.

The area of the circle is;

\(\rm Area \ of \ circle = \dfrac{\pi d^2}{4}\)

The area of the square is;

\(\rm Area \ of \ square = a^2\)

The relationship between the edge length of the square, d, and length of its side a is;

\(\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a\)
The area of the circle in terms of the area of the square is;

\(\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square\)

If the circle has the same diameter as the edge length of the square, then the area of this circle is \(\rm \dfrac{\pi }{2}\) the area of the square.

2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Ф = E.A

3. Flux through the surface of the circle is given by;

\(= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }\)

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The true statement about the points and planes is B. The line that can be drawn through points D and E is contained in plane Y.

Points D and E are on Plane Y.  Only one straight line is possible between Points D and E, which passes through and is contained in Plane Y.

Point C is not on Plane Y or X.  A line cannot be drawn between C and D, and pass through Planes X and Y.

Point F is not the only point that can lie on the X plane, the same goes for points D and E are not the only points that can lie on the Y plane.

Indeed, Point D lies on Plane Y and Point E lies on Plane Y.

Thus, the true statement about the points and planes is B. The line that can be drawn through points D and E is contained in plane Y.

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Given function is

The lease common multiple of (t+2) and (t+3) is (t+2)(t+3) , making the denominator (t+2)(t+3).

Hence the ratio of two polynomial is

The long term behavior is

The is not a horizontal line, So this is not horizontal asymptotes.

Hence the asymptotes is oblique.

The dog is playing with his chew toy!

Answer:

Explanation

Step-by-step explanation:

In general, dogs can run 15-20 mph

humans can run 6-8 mph

You are significantly slower than the dog,

the fastest human is around 27 miles per hour, unfortunately, even if you were this fast

the fastest dog can run 40 miles per hour as an estimate

even house cats can run at 30 mph maximum if they really wanted,

You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).

Answer:

Step-by-step explanation:

So for the fewest days it would be 3 days. The reason for that is because she has 254 pound coins. And she can inly take 5 bags to the bank a day, all of those 5 bags have 100 pound coins in them. If she take 2 days and get 200 pound coins to the bank. Then on the third day she would only have to bring three bags. So your answer for the fewest days possible is three days!

Hope it helps

The range from the UV Index that will cause your skin to burn at the fastest rate is UV 10.

The UV index is an internationally accepted measurement of Ultra violent ray that shows the strength of the ray ay a particular place and time.

From the index, when the reading is at the range of 8-10, it puts your skin and eye at a very high risk of harm from unprotected sun exposure.

Therefore, the range from the UV Index that will cause your skin to burn at the fastest rate is UV 10.

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Answer: its 16

Step-by-step explanation:

16 is the highest number on there meaning it is the hottest

The optimal solution is to assign team 1 to game A, team 2 to game C, and team 3 to game B. The total distance traveled by the officials is 200km.

A) Objective Function:

Minimize Z = 90x1A + 10x1B + 100x1C + 50x2A + 40x2B + 40x2C + 60x3A + 170x3B + 90x3C

Constraints:

x1A + x1B + x1C = 1

x2A + x2B + x2C = 1

x3A + x3B + x3C = 1

x1A, x1B, x1C, x2A, x2B, x2C, x3A, x3B, x3C ≥ 0

B) The optimal solution is as follows:

x1A = 1

x1B = 0

x1C = 0

x2A = 0

x2B = 0

x2C = 1

x3A = 0

x3B = 1

x3C = 0

Z = 200 km

1. Create the objective function

Z = 90x1A + 10x1B + 100x1C + 50x2A + 40x2B + 40x2C + 60x3A + 170x3B + 90x3C

2. Set the constraints

x1A + x1B + x1C = 1

x2A + x2B + x2C = 1

x3A + x3B + x3C = 1

x1A, x1B, x1C, x2A, x2B, x2C, x3A, x3B, x3C ≥ 0

3. Solve the linear programming problem

Using QM, the optimal solution is:

x1A = 1

x1B = 0

x1C = 0

x2A = 0

x2B = 0

x2C = 1

x3A = 0

x3B = 1

x3C = 0

4. Calculate the total distance

Z = 90x1A + 10x1B

The optimal solution is to assign team 1 to game A, team 2 to game C, and team 3 to game B. The total distance traveled by the officials is 200km.

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Therefore, the answer is A. {5, 5√3, 10}.

The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.

Let's check if the given set of values satisfies this ratio:

   If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

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Answer:

n[P(A)] is the power of set A, which is = 16

Step-by-step explanation:

For this question, We are simply looking for the number of elements in the power set of A.

To solve this,  there is a simple formula that can be followed, which is

n[P(A)]= \(2^{n(A)}\)

This means that to get the power of the set, we sill have to raise the number 2 to the number of elements in that set.

In our problem, n(A) refers to the number of elements in set A.  In this case, n(A)= 4

Hence, n[P(A)]=\(2^{4}= 16\)

Hence the power of set A = 16

Answer:

10 if not mistaking, sorry if im wrong

Step-by-step explanation:

Answer:

BD = 16

Step-by-step explanation:

AB and AC are both radii

AB  = AC =  6 + 4 = 10

BE = 8 because it's the leg of a right triangle with 6² + 8² = 10²

BD = 2 * BE = 2 * 8 = 16

Answer:

B. 30

Step-by-step explanation:

since Ann paid $400, you set the equation equal to 400

400=40+12d

Then you solve for d to find how many dozen of flowers Ann ordered.

400-40=12d

360=12d

360/12=d

d=30

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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Answer: D

Step-by-step explanation:

Hope it helps