20,000 ten thousands equals how many hundred thousands

Answer:

1) k = (-8)/5

2) x = 5

Step-by-step explanation:

1)

\(6 {k}^{2} + 16k = 0\)

\( = > 2k(3k + 8) = 0\)

\( = > 3k + 8 = \frac{0}{2k} = 0\)

\( = > 3k = - 8\)

\( = > k = \frac{ - 8}{3} \)

2)

\( {x}^{2} - 5x = 0\)

\( = > x(x - 5) = 0\)

\( = > x - 5 = \frac{0}{x} = 0\)

\( = > x = 5\)

Answer:

x-3.5

Step-by-step explanation:

\(10 - 3.5 = 6.5 \\ 6.5 - 3.5 = 3 \\ 3 - 3.5 = - 0.5 \\ - 0.5 - 3.5 = - 4\)

x is whatever last number you got as a result

Answer:

\(a_n = -3.5 (n - 1) + 10\)

Step-by-step explanation:

This sequence is arithmetic in nature because we are subtracting 3.5 to get from one term to the next. Write the general formula for an arithmetic sequence as shown below.

\(a_n = d(n-1) + a_1\)

...where \(a_1\) is the first term of the sequence, d is the difference in terms, n is the term number, and \(a_n\) is the nth term.

You find d by subtracting consecutive terms to see a pattern. If you don't want to find d this way, substitute in all other values in the equation and solve for d. I will use 6.5 to find d and it is the second (2nd) term of the sequence; n = 2, \(a_1\) = 10, \(a_2 = 6.5\).

6.5 = d(2-1) + 10

d = 6.5 - 10

d = 3.5

So the equation for this sequence is:

\(a_n = -3.5 (n - 1) + 10\)

Answer: The answer to this question is A

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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Answer:

the quotient is 2

Step-by-step explanation:

4/1=4

4/2=2

Answer:

H 60

Step-by-step explanation:

You would need to find out what you would multiply times 0.5 to get 30. Then to get that answer just divide 30 by 0.5. which is 60

The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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Answer:

Step-by-step explanation:

To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.

Given:

y = -3a + 3

a = -5x + 1

Substituting the value of "a" in the first equation:

y = -3(-5x + 1) + 3

Now, let's simplify this expression:

y = 15x - 3 + 3

y = 15x

Therefore, y can be expressed as a function of x as:

y = 15x

Answer:

  a) x = 1 ± (3/7)√7

  b) (-∞, -5) ∪ [-2, 5) ∪ [6, ∞)

Step-by-step explanation:

You want solutions to the relations ...

We like to solve these in the form f(x) = 0. It helps avoid extraneous solutions.

  \(7+\dfrac{1}{x} -\dfrac{1}{x-2}=0\\\\\\\dfrac{7x+1}{x}-\dfrac{1}{x-2}=0\\\\\\\dfrac{(7x+1)(x-2)-x}{x(x-2)}=0\\\\\\ \dfrac{7x^2-14x-2}{x(x-2)}=0\)

The roots of the numerator quadratic are found by ...

  x² -2x -2/7 = 0 . . . . . divide by 7

  x² -2x +1 -9/7 = 0 . . . . add and subtract 1

  (x -1)² = 9/7 . . . . . . . . . . write as a square, add 9/7

  x -1 = ±√(9·7/49) = ±(3/7)√7 . . . . take the square root

  x = 1 ± (3/7)√7

Rational inequalities are best solved by identifying the roots of numerator and denominator. These tell you where the function changes sign. The end behavior of the rational function tells you what the signs are changing from.

  \(\dfrac{x^2-4x-12}{x^2-25}\ge 0\\\\\\\dfrac{(x+2)(x-6)}{(x+5)(x-5)}\ge0\)

This has a horizontal asymptote at y=1 for |x|→∞. It has vertical asymptotes at x=±5.

The sign changes occur at x ∈ {-5, -2, 5, 6}. The rational expression is positive (approaching +1) for x < -5 and for x > 6. It is negative in the adjacent intervals, so positive again for -2 < x < 5.

The inequality is satisfied for ...

Answer:

4x + 5

Step-by-step explanation:

10x + 4 - 6x + 1

= 4x + 5

The square root of 76.8 is 8.76.

Square root of 76.8 is 8.746.

Given,

\(\sqrt{76.8}\)

Now,

Simplifying the square root :

If square root of x is to be calculated then,

\(\sqrt{x}\) = \(x^{1/2}\)

Similarly,

\(\sqrt{76.8}\) = \(76.8^{1/2}\)

= 8.746

Thus the square root of 76.8 is 8.746.

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Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

Answer:

A) or the first one is the correct answer

Step-by-step explanation:

To check just substitute the intersection point into the equation, as the intersection point is (3,2), -3 * 3 + 11 = 2 and 5/3 * 3 - 3 =2, so both equation satisfied.

To graph the two lines, we can plot two points on each line and connect them with a straight line. For y = 3x + 2, we can choose x = 0 and x = 1 to get the points (0, 2) and (1, 5), respectively. For y = x - 2, we can choose x = 0 and x = 1 to get the points (0, -2) and (1, -1), respectively.

In the graph: The red line represents y=3x+2 and the blue line represents y=x-2

Explain the term straight line

A straight line is a geometric figure that extends infinitely in both directions and has no curvature or bends. It is the shortest distance between two points and can be described using various mathematical equations, such as y = mx + b, where m is the slope and b is the y-intercept. Straight lines are used in various fields, including geometry, physics, and engineering, to represent and analyze the relationships between objects or points.

According to the given information

To graph the system of equations y = 3x + 2 and y = x - 2, we can plot the two lines on the same coordinate plane and find the point where they intersect.

First, we can find the point of intersection by setting the two equations equal to each other:

3x + 2 = x - 2

Simplifying, we get:

2x = -4

x = -2

Substituting this value of x back into one of the equations, we get:

y = (-2) - 2 = -4

So the solution to the system of equations is the point (-2, -4).

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You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

Businesses, a noun in plural. a group of people who are connected or who have joined together. a guest or guests: We're having people over for dinner. a collection of individuals together for social purposes. association, camaraderie, and fellowship She is a lot of joy to be around.

The Old French word "compagnie," which was first used in the Salic code and meaning "one who eats bread with you," is where the English word "company" originates. To describe a "society, friendship, closeness, or body of troops," it was first used in 1150.

You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

Total Amount to be when start the company is $12000 + $12000

= $24000

Out of which company owns land and a building worth $8,878 and equipment worth $4,230 and have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment.

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Answer:

Y=-4x 2

Step-by-step explanation:

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

The number of each type of ad that the department can run each month are:

TV Ads = 32

Radio Ads = 12

News Ads =  20

x = number of tv ads

y = number of radio ads

z = number of news ads

Two formulas are indicated.

x + y + z = 64

1000x + 200y + 600z = 46400

they want as many tv ads as radio and news ads combined.

equation for that is x = y + z

since x = y + z, replace x with y + z in both equations to get;

y + z + y + z = 64

1000 * (y + z) + 200 * y + 600 * z = 46400

combine like terms and simplify to get:

2y + 2z = 64

1000y + 1000z + 200y + 600z = 46400

combine like terms again to get:

2y + 2z = 64

1200y + 1600z = 46400

Solving simultaneously gives:

y = 12

z = 20

Thus:

x = 12 + 20

x = 32

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The given expression is :

2xx+3-5(x-2)

We know that, \(x{\cdot}x=x^2\)

\(=2x^2+3-5(x-2)\\\\=2x^2+3+(-5)(x)+(-5)(-2)\\\\=2x^2+3-5x+10\)

Aleena expands 2xx+3-5(x-2) as 2x²+3-5x-10. She is mistaken because the sign before 10 should be +10 instead of -10. Hence, the correct expanded form is 2x²+3-5x+10. Hence, this is the required solution.

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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The two different trinomials that have a greatest common factor of  \(5x^{2} y^{3}\) are:

a) \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\)

b) \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\\)

Let us verify,

a)  Consider the trinomial   \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\),

The Greatest Common Factor  of 35, 5, 15 is 5

The Greatest Common Factor  of  \(x^{2} ,x^{4} ,x^{3} =x^{2}\)

The Greatest Common Factor  of  \(y^{5} ,y^{9} ,y^{3} = y^{3}\)

There is no G.C.F for z because it is missing in the 3rd term.

So, the G.C.F  of the trinomial   \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\) =  \(5x^{2} y^{3}\)

b) Consider the trinomial   \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\\),

The Greatest Common Factor  of 25, 5, 10 is 5

The Greatest Common Factor  of \(x^{4} ,x^{7} ,x^{2} =x^{2}\)

The Greatest Common Factor  of \(y^{3} ,y^{8} ,y^{4} = y^{3}\)

There is no G.C.F for z because it is missing in the 2nd term.

So, the G.C.F of the trinomial  \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z = 5x^{2} y^{3}\)

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The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.

The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.

In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:

4(-8 + 5) = (4 * -8) + (4 * 5)

This simplifies to:

4(-8 + 5) = -32 + 20

Finally, we can perform the addition:

-32 + 20 = -12

Therefore, the equation demonstrates the application of the Distributive Property.

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Given:-

A data for watching tv.

To find:-

What fraction of the students watch between 0 and 2 hours of TV a day.

So now we add the faction values within 0 to 2. so we get,

So the required fraction is,

Answer:

option 1 is correct. that is the answer

Using the hypergeometric distribution, it is found that:

a) The probability distribution is:

\(P(X = 0) = 0.357\)

\(P(X = 1) = 0.536\)

\(P(X = 2) = 0.107\)

b) The expected value is of 0.75.

The cameras are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Item a:

The distribution is the probability of each outcome, thus:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 0) = h(0,8,2,3) = \frac{C_{3,0}C_{5,2}}{C_{8,2}} = 0.357\)

\(P(X = 1) = h(1,8,2,3) = \frac{C_{3,1}C_{5,1}}{C_{8,2}} = 0.536\)

\(P(X = 2) = h(2,8,2,3) = \frac{C_{3,2}C_{5,0}}{C_{8,2}} = 0.107\)

Item b:

The expected value for the hypergeometric distribution is:

\(E(X) = \frac{nk}{N}\)

Then:

\(E(X) = \frac{2(3)}{8} = 0.75\)

The expected value is of 0.75.

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Answer:

Step-by-step explanation:

Answer:

\(y=(x-7)^2-1\)

Step-by-step explanation:

We want to convert the equation:

\(\displaystyle y=x^2-14x+48\)

Into vertex form, given by:

\(\displaystyle y=a(x-h)^2+k\)

Where a is the leading coefficient and (h, k) is the vertex.

There are two methods of doing this. We can either: (1) use the vertex formulas or (2) complete the square.

Method 1) Vertex Formulas

Let's use the vertex formulas. First, note that the leading coefficient a of our equation is 1.

Recall that the vertex is given by:

\(\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)\)

In this case, a = 1, b = -14, and c = 48. Find the x-coordinate of the vertex:

\(\displaystyle x=-\frac{(-14)}{2(1)}=7\)

To find the y-coordinate, substitute this value back into the equation. Hence:

\(y=(7)^2-14(7)+48=-1\)

Therefore, our vertex (h, k) is (7, -1), where h = 7 and k = -1.

And since we already determined a = 1, our equation in vertex form is:

\(\displaystyle y=(x-7)^2-1\)

Method 2) Completing the Square

We can also complete the square to acquire the vertex form. We have:

\(y=x^2-14x+48\)

Factor out the leading coefficient from the first two terms. Since the leading coefficient is one in this case, we do not need to do anything significant:

\(y=(x^2-14x)+48\)

Now, we half b and square it. The value of b in this case is -14. Half of -14 is -7 and its square is 49.

We will add this value inside the parentheses. Since we added 49 inside the parentheses, we will also subtract 49 outside to retain the equality of the equation. Hence:

\(y=(x^2-14x+49)+48-49\)

Factor using the perfect square trinomial and simplify:

\(y=(x-7)^2-1\)

We acquire the same solution as before, with the vertex being (7, -1).

Answer:

tourist: 28%

non-tourist: 72%

Step-by-step explanation:

total: 50

tourists: 14

non-tourists:50 - 14 = 36

tourist percentage: 14/50 × 100% = 28%

non-tourist percentage: 36/50 × 100 = 72%