In the expression 30x? - 35x + 54x - 63 when the first two terms are grouped, and the last two terms are grouped, what is the common binomial factor?

Answer:60.97

Step-by-step explanation: tan 49 = opposite/adjacent = x/53

tan 49 = x/53

tan 49/1 = x/53

53 tan 49 = x

x = 60.969

x = 60.97

The height of tree is 60.97 feet tall on the ground is 53 feet from the tree.

Trigonometry uses the first six fundamental trigonometric functions. Trigonometric proportions are these functions. The six fundamental trigonometric functions are the sin function, cosine function, secant function, and so on.

As per the data given in the question,

tan 49° = opposite/adjacent

tan 49° = x/53

tan 49/1 = x/53

x = 53 tan 49°

x = 60.969 or,

x = 60.97 feet. (rounding off value)

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Answer:

( -1 , -3 ) , ( 4 , -3 ) , (4 , -1 )

Answer:

f(x) has a minimum value of -10.

Step-by-step explanation:

It will have a minimum value because the coefficient of x^2 is positive.

To find its value we convert to vertex form:

f(x) = 4x^2 - 16x + 6

     = 4(x^2 - 4x) + 6

      = 4[(x - 2)^2 - 4] + 6

      = 4(x - 2)^2 - 16 + 6

      = 4(x - 2)^2 - 10.

So the minimum value is -10.

Question 1

Reason: The minute and hour hand form a straight line, or straight angle, which is always 180 degrees in measure.

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Question 2

Reason: Split a pizza into 12 equal slices. Imagine having 3 such pizzas to get 3*12 = 36 slices in total. This leads to the idea that 36*(1/12) = 3.

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Question 3

Reason: This is by definition of what it means to do a full rotation.

Answer:

A

Step-by-step explanation:

There are 1000 mm in one meter

and there are 10 mm in one cm

so

1000 + 20(10) = 1200mm

Therefore the answer is 1200mm

Answer: The graphs below have the same shape. The equation of the blue graph is f(x)=x^2. Which of these is the equation of the red graph, g(x)

Step-by-step explanation:

The equation of the blue graph is,

⇒ G (x) = (x + 5)³

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

We have to given that;

The equation of the red graph is

⇒ F(x) = x³

Now, The graph of blue line is 5 units left to the graph of red graph.

Hence, The equation of the blue graph is,

⇒ G (x) = (x + 5)³

Thus, The equation of the blue graph is,

⇒ G (x) = (x + 5)³

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(-5,6)

When a point is reflection a new, prime point (x') is created.

Formula

Whenever a point is reflected over the x-axis it follows a specific rule. The point goes from (x,y) to (x,-y). So, since the point is (-5, -6) we need to switch the sign of the y-value. This creates the new point (-5, 6).

Why?

Another way to remember this formula is to understand where it comes from. When reflecting over the y-axis, a point goes from the top 2 quadrants to the bottom 2 or vice versa. This means that the value is moving vertically. During vertical shifts, there is a change in the y-value. Additionally, because the x-axis is the seperation between negative and positive y-values, the y-value changes signs.

Answer:

user could u make the second image attachment more clear cause that thing is blocking the themes

The mode for this question is 0

In a set of numbers, the mode is the number that occurs most often. In other words, it measures how frequently a particular number occurs within a set of numbers. It is a type of average, like its counterparts, the median and mean.

To find the mode of a set of numbers,

Answer:

57.15π ft³

Step-by-step explanation:

Volume of a Sphere

Here, radius (r) = 7/2 ft.

Solving

Answer:

4x+2y

Step-by-step explanation:

x=pounds of olives

y= pounds of feta cheese

The fuse with a rating of 5 horsepower would be able to carry 8 number of 5/8 horsepower motors.

An equation is an expression that shows the relationship between two or more numbers and variables.

A certain circuit is properly fused for a 5-horsepower motor. The number of motor, if several 5/8 horsepower motors is used is given by:

Number of motors = 5 hp ÷ (5/8 hp) = 8 motors

The fuse with a rating of 5 horsepower would be able to carry 8 number of 5/8 horsepower motors.

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Explanation

Rule: if the p-value is smaller than alpha, then we reject the null.

We're given a p-value of 0.19 and alpha = 0.05

Based on that rule, it means we fail to reject the null (i.e. "accept" the null), since the p-value is not smaller than alpha.

Therefore, we conclude that mu = 0 must be the case, which means this value is in the confidence interval.

If mu = 0 was outside the confidence interval, then we would reject the null.

The statement describes the graph

A linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Graph B represents h(x).

Graph B represents j(x).

From the question, we have the following parameters:

h(x) = f(x) + g(x)

j(x) = f(x) * g(x)

As, we don't have function of the graphs.

So, all the functions are linear functions, then the slopes of the sum of functions f(x) and g(x) could be greater than the slopes of h(x) and j(x).

The graph h(x) and j(x) is represented by graph B.

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Answer:

The answer for your question is C

Answer:

[tex]-\frac{1}{128}[/tex]

Step-by-step explanation:

1) Identify the type of sequence this is; whether it is geometric progression, quadratic sequence or linear sequence.

= Geometric progression

2) Find the [tex]n^{th}[/tex] term of this sequence. Every sequence of geometric progression is written in [tex]u_{n} = u_{1} * r^{n-1}[/tex] form, where [tex]u_{1}[/tex] is the first term of the sequence and [tex]r[/tex] is the common ratio. To find the [tex]n^{th}[/tex] term of this sequence, we need to find the common ratio ([tex]r[/tex]) first.

[tex]r = \frac{u_{2}}{u_{1}}[/tex]

[tex]r = \frac{-32}{64}[/tex]

[tex]r = -\frac{1}{2}[/tex]

2.1) Write it in [tex]u_{n} = u_{1} * r^{n-1}[/tex] form.

[tex]u_{n} = 64 * (-\frac{1}{2} )^{n-1}[/tex]

3) Find the [tex]14^{th}[/tex] term by substituting 14 into the [tex]n[/tex]'s.

[tex]u_{14} = 64 * (-\frac{1}{2} )^{14-1}[/tex]

[tex]u_{14} = 64 * (-\frac{1}{2} )^{13}[/tex]

[tex]u_{14} = 64 * -\frac{1}{8192}\\u_{14} = -\frac{1}{128}[/tex]

Answer:

it’s D

Step-by-step explanation:

it’s not anything else

ur wlcm :)

hope i helped

brainliest?

Answer:

Congruent (A), Parallel (B), and Discs (D).

Step-by-step explanation:

The bases of a cylinder must be two discs which are congruent and parallel to each other.

In the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.

Water is released from the earth when it is squeezed or compacted by some force. As a further stage, the stress in the soil is removed, allowing the soil sample to expand back to its original size.

The soil will try to reclaim some of the stress it has lost after the stress has been released. Rebound is the word for this procedure.

We have a statement:

The rail of the table can be considered which of the following when making a bank shot:

The answer is a rebound line.

As the definition of the rebound line, the table's rail can be used as a rebound line.

Thus, in the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.

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Answer:

The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of the equation:

3y=x-2 ..(1)

y=-2x+4  ...(2)

From the equation (2) take the value of y and plug in the equation (1)

3(-2x+4) = x -2

-6x + 12 = x - 2

7x = 14

x = 14/7

x = 2

Plug this value in the equation (2)

y = -2(2) + 4

y = 0

Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

Step-by-step explanation:

Answer:

7 and 8

Step-by-step explanation:

29÷4=7.25 and that is between 7 and 8

Answer:

12X +3y =12.....equation 1

-6x +y = -26....equation 2

putting the value

in equation 2 multiply by 2

12x +3y =12

-12x +2y = -52

____________

5y = -40

y = -40%5

y = -8

putting the value of y in equation 1

12x + 3y = 12

12x + 3× -8 =12

12x -24 =12

12x =12 + 24

12x =36

x =36%12

x=3

Answer:

34.6

Step-by-step explanation:

1) tan(38°)=27/x, then

2) x=27/(tan38°);

x=27/0.78129≈34.558=34.6

Answer:

B

Step-by-step explanation:

Gambling is the act of risking something of material value on an uncertain outcome. The people who gamble are totally unaware of the outcome. The outcomes are unpredictable so it is risking something of material to win a something of greater material value.

Step-by-step explanation:

[tex] = 10(1 - 7k) + 8(k + 9)[/tex]

Sort the expression in descending order....

[tex] = 10( - 7k + 1) + 8( k + 9)[/tex]

Now multiply....

[tex] = - 70k + 10 + 8k + 72[/tex]

Organize the similar terms...

[tex] = - 70k + 8k + 10 + 72[/tex]

[tex] = - 62k + 82[/tex]

hope it helped !!!

Based on the supply and demand of the baseball caps, the relevant supply quantities are:

At the price of €2, the supply according to the graph is:

= 20,000 baseball caps.

The quantity imported is shown as:

= Demand at €2 - Domestic supply at €2

= 80 - 20

= 60,000 baseball caps

A tariff of €1 would increase the price to €3.

At this price, the supply would be:
= 30,000 baseball caps.

At the new price, the quantity imported is:

= Demand at €3 - Domestic supply at €3

= 70,000 - 30,000

= 40,000 baseball caps.

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