One day, the principal announces the cancelation of classes to two teachers, each whom sends this to two other teachers, and so on. Suppose that text messages were sent in five rounds, counting the principal’s text message as first, how many text messages were sent in all?

Answer:

the distance to the beach is 27.5 miles (multiple choice is under rated)

Answer: 15 motorcycles and 60cars

Answer:

n+(n+2)+(n+4)=15

Step-by-step explanation:

Let n= the smallest odd integer

n+(n+2)+(n+4)=15

n=3

Answer:

x=5, <E = 10°

Step-by-step explanation:

Since triangles ENP and DFM are congruent,

m<E = m<D

5x-15 = 2x

3x = 15

x = 5

<E = 5x-15 = 5*5 - 15 = 25-15 = 10°

Answer:

-.51 is greater

Step-by-step explanation:

-0.51 is greater than -0.53.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

-0.53 and -0.51

The number line from -0.50 to -0.55.

<_____-0.55__-0.54__-0.53__-0.52__-0.51__-0.50_____>

We see that,

-0.53 is less than -0.51

Thus,

-0.53 < -0.51

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Answer:

-29

Step-by-step explanation:

first do the f function which gets you g(-21)

then do the g function

Answer:

i am going to say 3/5 but  am not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(10,-4) and (6,-16)

We have

[tex]m = \frac{ - 16 - - 4}{6 - 10} = \frac{ - 16 + 4}{ - 4} = \frac{12}{4} = 3 \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

Inequality Form:

x > 7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x can be anything bigger then 7 to make this true.

Answer:

Step-by-step explanation:

quadrant 4 (x is positive and y is negative)

Answer:

none

Step-by-step explanation:

I can't find any question there

Answer:

? = 40°

Step-by-step explanation:

100° = 60° + ? (The exterior angle property of triangles)

100° - 60° = ? (By the law of transposition)

40° = ?

If my answer helped, kindly mark me as the brainliest!

Thank You!

Answer:

the missing angle is 40

Step-by-step explanation:

let the missing angle be x

then x+ 60 = 100 using (exterior angle property)

so x= 100-60 which is equal to 40.  

hope this helps u buddy..

Answer:

a. Practically speaking, you compute the differential in much the same way you compute a derivative via implicit differentiation, but you omit the variable with respect to which you are differentiating.

Aside: Compare this to what happens when you differentiate both sides with respect to some other independent parameter, say :

b. This is just a matter of plugging

Step-by-step explanation:

like if this was helpful

Answer:

The answer is C because 40% of 1450 is 580.

Answer: Choice B  [tex]y \le 0[/tex]

========================================================

Explanation:

They want to know what are all the possible y values here. The range is the set of all possible outputs of a function.

The largest y value is y = 0 which occurs at the vertex, in this case the highest point. There is no smallest y value as those arrows point downward forever.

So y is between negative infinity and 0, which means we write [tex]-\infty < y \le 0[/tex]

Converting that to interval notation leads to [tex](-\infty, 0][/tex]. Note the square bracket to include the endpoint.

The compound inequality [tex]-\infty < y \le 0[/tex] simplifies to [tex]y \le 0[/tex]

One way to describe this particular relation's range is to say "The set of negative real numbers with 0 included".

Side note: The domain is the set of all possible x inputs. In this case, the domain is the set of all real numbers.

Answer:

A, C, E, F

Step-by-step explanation:

Answer:

f(x) = (x - 2)(x + 1)²(x - 4)³

Step-by-step explanation:

Multiplicity of a polynomial:

1). If the multiplicity is odd, the graph will cross the x-axis at that zero.

2). If the multiplicity is even, the graph will touch the x-axis at that zero.

Since the given graph is just touching the x-axis at x = -1 multiplicity for the zero (at x = -1) will be even.

Similarly, graph is crossing the x-axis at x = 2 and x = 4, multiplicity for the zero will be odd.

So, the function will be,

f(x) = (x - 2)(x + 1)²(x - 4)³

Answer:Answer : f(x)= (x-1)(x+1)^2(x-4)^3

Step-by-step explanation:

Answer:

3486784401

Step-by-step explanation:

Hi! 9 to the 10th power is written like this: [tex]9^{10}[/tex]. It equals 3,486,784,401. The equation is written like this: 9×9×9×9×9×9×9×9×9×9, NOT 9×10. I hope this helps you! Good luck and have a great day. ❤️

Given:

The inequality is

[tex]5.25-b\geq 6.5[/tex]

To find:

The solution of the given inequality on the number line.

Solution:

We have,

[tex]5.25-b\geq 6.5[/tex]

Subtract 5.25 from both sides.

[tex]5.25-b-5.25\geq 6.5-5.25[/tex]

[tex]-b\geq 1.25[/tex]

Multiply both sides by -1 and change the sign of inequality.

[tex]b\leq -1.25[/tex]

The value of b always less than or equal to -1.25. Since -1.25 included in the solution set, therefore there is a solid circle on -1.25.

-1.25 lies between -2 and -1. It means the solid circle lies between -1 and -2.

[tex]b\leq -1.25[/tex], so the number line is shaded from the circle to negative 5.

A number line going from negative 5 to positive 5 is the required solution if a solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.

Therefore, the correct option is A.

Answer:

the correct answer is option C

Step-by-step explanation:

I fixed my mistake from choosing option A

Answer:

m∠2=31

m∠3=65

m∠1=?

Notice that measure of angle 2,3 and the angle that's next to angle 1 will form a triangle. Let's name the angle next to 1 to be x.

31+65+x = 180

96+x = 180

x = 180-96

x = 84

Now, you can easily find the m∠1.

84+m∠1 = 180        (REASON: Linear pair)

m∠1 = 180-84

m∠1 = 96

Answer:

Nickels: 67

quarters: 19

Step-by-step explanation:

It's fairly simple if you know how to use algebra

Answer:

x-int (6.2, 0)

y-int (0, 3.1)

Step-by-step explanation:

x-intercept is found when y = 0.

y-intercept is found when x = 0.

Step 1: Define equation

2x + 4y = 12.4

Step 2: Find x-intercept

Substitute y for 0.

2x + 4(0) = 12.4

2x = 12.4

x = 6.2

(6.2, 0)

Step 3: Find y-intercept

Substitute x for 0.

2(0) + 4y = 12.4

4y = 12.4

y = 3.1

(0, 3.1)

Answer:

62

Step-by-step explanation:

If the diver started 4 four feet above the ground and ended 58 feet below the surface, the diver went down, so we can solve this by taking the total distance traveled like so:

[tex]|4+58|[/tex] = 62

Answer:

4^5,6^7,8^6,7^4

Step-by-step explanation:

add the power to the other and then put the base

Answer:

5.4 feet

Step-by-step explanation:

Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.

At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was  8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.

Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was  8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.

From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].

[tex]d= 10- (d_1+d_2)[/tex]

[tex]=10-(2.2+2.4)[/tex]

=5.4 feet

Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.

The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.

This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:

[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]

[tex]x_{1} = 10.4\,ft[/tex]

Now we determine the absolute elevation of the deck at 7 P.M.:

[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]

[tex]x_{2} = 7.6\,ft[/tex]

Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:

[tex]x' = 7.6\,ft - 2.2\,ft[/tex]

[tex]x' = 5.4\,ft[/tex]

The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.

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