A 51-inch TV suggests that the main diagonal of the TV is 51 inches. Determine the dimensions of the screen of a 51 -inch TV with a 16:9 aspect ratio.Please see attached photo

Answer

Explanation

To know which is correct, we simply write the given numbers in decimal form

√15 = 3.8729

(11/25) = 0.44

(3/20) = 0.15

(2/6) = 0.333333333

We can easily see that

we have

2(w+3)-(w-1) ​

apply distributive property first term and remove the parenthesis

2w+6-w+1

combine like terms

In order to calculate the value of this expression, first we need to calculate the multiplication between 1 and 100. Then, w

When we have a quadratic equation, we can have it in vertex and standard form.

The vertex form comes in the form:

The standard form comes in the form:

Converting to/from either simply requires some manipulations via expansion of the bracket as will be seen.

Hence, we have our standard form.

y = 4x + 8

To tell if (3, 20) is a solution, we will substitute the value of x = 3 and y= 20

into the equation to see if the left-hand side equals the right-hand side of the equation

So, upon substituting

20 = 4 x 3 + 8

20 = 12 + 8

20 = 20

Since the left-hand side of the equa

We have the following problem:

Using the kinematic equation, we know that for movements with constant acceleration the position is

I already wrote the variables convenient for our problem, where

t = time (s)

h₀= initial height (m)

v₀ = initial velocity (m/s)

g = gravity acceleration (m/s²)

h = height after t seconds

We also know that

t = independent variable

h₀= 10m

v₀ = 56 m/s

g ≅ 10 m/s²

h = dependent variable

Therefore our quadratic will be

Now we can answer the question in fact.

a)

The rocket will hit the ground when the height is equal to zero, hence, h(t) = 0. In fact, we are looking for the zeros of the quadratic

See that we have one negative zero, but we will ignore that because it's physically impossible, therefore the rocker will reach the ground after 11.38 seconds

b)

To find the maximum height we must find the max value of the quadratic, we know that the vertex of a quadratic is its max/min, also, we can write it as

Where

Is the vertex. Here, we want to find the y coordinate, because y here is the height, therefore

The max height of the rocket is 166.8m

c)

Now we have a similar problem, it's also the vertex but now the coordinate x, that here, represents the time, then

The rocket will reach the maximum height after 5.6 seconds.

Data:

Enrollment: $79

Charge per Month: $45/month

x: number of months

y: Total cost

You can follow the next general expression:

Where k is the constant of change, in this case the charge per month, and b is the charge at time 0, in this case the charge per enrollment.

Given:

a.) The circumference of a big circle is 36 pi.

b.) The area of a smaller circle located inside the bigger circle is 16 pi.

The probability that the point lands in the smaller one is,

However, only the circumference of the big circle is given. To be able to get the probability, we must first determine the area of the circle.

a.) Area of the big circle.

b.) Let's now determine the probability.

Therefore, the probability that the point lands in the smaller one is 4/81.

Answer:

True for all x

Step-by-step explanation:

[tex]-3\left|2x+1\right| < 4\\\left(-3\left|2x+1\right|\right)\left(-1\right) > 4\left(-1\right)[/tex]

[tex]3\left|2x+1\right| > -4:\:Solve\\4\times -1 = -4\\\left(-3|2x+1|\right)\left(-1\right)\\\left(-3\times -1\right)\\\left(-3|2x+1|)[/tex]

[tex]=\frac{3\left|2x+1\right|}{3} > \frac{-4}{3}[/tex]

___________

[tex]\frac{3\left|2x+1\right|}{3}\\\frac{3}{3}\\= \frac{1}{1}[/tex]

___________

[tex]= \frac{1}{1} > \frac{-4}{3}[/tex]

___________

[tex]-\frac{4}{3}\\= -\frac{4}{3}[/tex]

Hope this helps.

-a+9b

a=4

b=-4

Replace a by 4 and b by -4 in the expression, then solve it

-(4)+9(-4)

-4 -36

-40

Answer:

The correct range is -2 < y < 5.

Answer:

A(-6, 1)

B(-6, -7)

C(7, -9)

D(-8, -8)

Explanation:

From the graph, we can see that at point A, x = -6 and y = 1. Therefore, the ordered pair can be written as A(-6, 1)

At point B, x = -6 and y = -7. The ordered pair can be written as B(-6, -7)

At point C, x = 7 and y = -9. Its ordered pair will be C(7, -9)

At point D, x = -8 and y = -8. Its ordered pair will be D(-8, -8)

One way to verify that if a point exist on both lines is to substitute the x- and y-values of the ordered pair into the equation of each line. If the substitution results in a true statement, then you have the correct solution!

Answer:

Surface area = 222 square cm

Explanation:

Given the following data

Length = 3 cm

Height = 9 cm

Width = 7 cm

Surface area = 2(wl + hl + hw)

Surface area = 2(7 * 3 + 9 * 3 + 9 * 7)

Surface area = 2( 21 + 27 + 63)

Surface area = 2( 111)

Surface area = 222 square cm

Therefore, the surface area is 222 square cm

To solve this question and find the radius of the circle, we will use the s

Given

To find the solution.

Now,

It is given that,

Using factorization method,

That implies,

Hence, the solution set is,

7 1/4 - 1 3/4

Respuesta:

5 1/2

Given:

height(h)=15 inches

radius(r)=9 inches

Volume of cone:

Part A) Minimum cost = $30

Part B) Value of f(150) = $30

Part C) m = 275 minutes

Part D) Cost per minute after 200 minutes = $0.2

From the graph shown:

Monthly rate for 200 minutes for phone calls = $30

An additional fee is charged for more than 200 minutes for phone calls

Part A) The minimum monthly cost of Corinne's cell phone plan.

Note that the minimum monthly cost of Corinne's cell phone plan will be when he does not use more than 200 minutes for phone calls.

Therefore, the minimum monthly cost, C = f(200) = $30

Part B)

The value of f(150)

f(150) means the cost of Corinne's cell phone plan when 150 minutes is spent for phone calls, i.e. m = 150

Since there is a flat rate of $30 for 0 to 200 minutes, f(150) = $30

Part C)

For what m is f(m) = 55

This means that we should find the number of minutes spent when the cost of the plan is $55

From the graph, $55 is charged at 275 minutes

Therefore, when f(m) = 55, m = 275 minutes

Part D)

Cost per minutes after the monthly allowance of 200 minutes

After the monthly allowance of 200 minutes, we would notice that, for every 50 minutes, there is a $10 charge. That means that for every 1 minute, there will be a charge of 10/50 = $0.2

Cost per minute = $0.2

Answer:

Explanation:

Here, we want to get the purchase price and the total price

a) The purchase price before tax

In the question, we have it that the tax is 8.4% of the purchase price

Let the purchase price be $P

8.4% of this is $15.96

Mathematically:

b) The total price is the sum of the tax and the purchase price

Mathematically, we have this as:

If the new forecast is 24% more than the 5.6 billion estimated, we can calculate this as:

Answer: The total now is approximately 6.9 billion.

The area of the warehouse is

Half of this area stock paint, cans and rims:

thats because the heigth of the stock room is equal to 20 ft.

On the other hand, we know that there are 2 cans in a box which volume

and a rim is inside a box with measures

Then, we need to find the ratio V_total to V_stock in order to find the number of rims in the room.

Then, V_total is the sum of 4 times the volume of one can plus the volume of 1 rim, that is,

because we need 4 cans and 1 rim in our room. This total volume is given by

which gives

The last step is convert the V_total from cubic inches to cubic feets. We can do that by means of

because 1 feet is equal to 12 inches. It yields,

Finally, we can find the ratio mentioned above:

By rounding down to the nearest interger, the ratio is 556. This means that we can stock 556 rims in the warehouse.

ANSWER

1. 10

2. 5

EXPLANATION

We want to expand the expressions given:

1. 6 x 20 = 6 x 2 x ____

To do this, we have to divide 20 by 2, because 20 was expanded to give 2 x __.

20 divided by 2 is 10, so the answer is:

6 x 20 = 6 x 2 x 10

2. 5 x 100 = ___ x 10 x 10

This is straightforward, since 10 x 10 is 100.

The answer is:

5 x 100 = 5 x 10 x 10

Points you need to find to graph quadratic inequalities:

Vertex of each parabola:

1-Write each ineqaulity as an equation:

Vertex:

First equation: the leding coefficient is 1 then the parabola opens up.

Vertex of first equation:

Second equation: the leading coefficient is -1 then the parabola opens down.

Vertex of the second equation:

Points of interception:

Equal the equations and solve x:

The parabolas intersect in x=1 and x=3 (use one of the equations to find the y-value of the intersection):

Then, you have the next points:

Vertex: (2,4) opens up; (2,6) opens down

Intersection points: (1,5) and (3,5)

First parabola has the inequality sing > : the border line is a dotted line and the shadow area is under the parabola.

Second parabola has the inequality sing ≤ : the border line is a full line and the shadow area is over the parabola

Graph:

We must write the following expression without the absolute value symbol:

We have two cases:

1) If (x + 7) ≥ 0 or x ≥ -7, the expression is (x + 7).

2) If (x + 7) < 0 or x < -7, the expression is -(x + 7).

Combining these results, we have:

The equivalent expression to |x + 7| without an absolute value symbol is:

Explanation

to get the fraction of Nonstudents that disaproved

then

let

total nonstudents that disaproved=353

total nostudents=85+353+47=485

now, replace

so,the answer is k

Answer

Option A is correct.

From the explanation, we can easily see that the first graph shows point P as (-5, 6) and Point Q as (3, -4).

Explanation

The key to marking points on the graph is to know that the coordinates are named as (x, y)

And to mark a point (-5, 6), it means x = -5 and y = 6

So, we move 5 units to the left from the origin along the negative x-axis and 6 units upwards along the y-axis.

And for (3, -4), x = 3, y = -4

We move 3 units to the right from the origin along the positive x-axis and 4 units downwards along the y-axis.

Hope this Helps!!!

Answer:

w = 14.4

x = 11.2

Explanation:

We would consider the smaller and larger right angle triangles.

For the smaller right triangle, taking 48 as the reference angle,

opposite side = 16

adjacent side = w

We would find w by applying the tangent trigonometric ratio which is expressed as

tanθ = opposite side/adjacent side

Thus,

tan48 = 16/w

By cross multiplying,

wtan48 = 16

w = 16/tan48

w = 14.4

For the larger right triangle, taking 32 as the reference angle,

opposite side = 16

adjacent side = w + x = 14.4 + x

We would find w by applying the tangent trigonometric ratio which is expressed as

tanθ = opposite side/adjacent side

Thus,

tan32 = 16/(14.4 + x)

By cross multiplying,

(14.4 + x)tan32 = 16

(14.4 + x) = 16/tan32

14.4 + x = 25.6

x = 25.6 - 14.4

x = 11.2

ANSWER

8/12. Option C

EXPLANATION

In a simple term: Equivalent fraction can be determined by simply multiplying the numerator and the denominator by the SAME NUMBER.

That is,

if you have 2/3 the equivalent fraction will be 4/6 (when multiplied by 2) or 6/9 (when multiplied by 3) or 8/12 (when multiplied by 4) etc.

So, from the question above:

The equivalent fraction of 4/6 (when multiplied by 2) is 8/12

we have the following:

therefore, the answer is 9/20