Mark is proving the Pythagorean Theorem. He drams right triangle KL with altitude JM First he proves JKLAMK) and JKL-MIL ssing the Angle-Angle criterion. The
rest of his groot is shown with some steps missing
HELP PLSSSSS ASAP

Answer:

[tex]P(r)=65536(\frac{1}{2})^{r}[/tex]

Step-by-step explanation:

Since the total number of participants in the tournament is 65,536 people, and the exponential decay is [tex]\frac{1}{2}[/tex], using [tex]P(r)[/tex] as the representative of the number of people after [tex]r[/tex] rounds, the formula to represent the model would be [tex]P(r)=65536(\frac{1}{2})^{r}[/tex].

Answer:

[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]

Step-by-step explanation:

Pet peeve of mine: let's call it [tex]p_r[/tex]  (read p sub r)since it's a representation over the natural numbers and not over [tex]\mathbb{R}[/tex].

Old man yelling at clouds moment gone, we know that the number of people gets halved every time so

At round 0, we do not halve, so [tex]p_0 = 65\ 536\div 1[/tex]

At round 1, we halve once, so [tex]p_1 = 65\ 536\div 2[/tex]

At round 2, we halve twice, so [tex]p_2 = 65\ 536\div 4 = 65\ 536\div 2^2[/tex]

At round 3, we halve three times, so [tex]p_3 = 65\ 536\div 8 = 65\ 536\div 2^3[/tex]

...

At round k, we halved k times, so [tex]p_k = 65\ 536 \div 2^k[/tex]

...

At round 16 we [tex]2^1^6 =65\ 536[/tex] so we have a winner.

That allows us to write a formula. I personally find the last one to be the neater, but any of the three is formally correct.

[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]

Answer: 200 students gave their speeches.

Explanation;

240 ÷ 6 = 40

40 x 5 = 200

Answer:

5

Step-by-step explanation:

16 1/4 divided 3 1/4

Answer:

64

Step-by-step explanation:

[tex]\sqrt{256}[/tex] = 16 (length of each side)

A square (rug) has 4 sides.

Add to find perimeter:

16 + 16 + 16 + 16

= 64

Answer: 8ft

Step-by-step explanation:

4A= 256

4A/4     =    256/4

A = 64

A = a²

64 = 4²

a² = 64

a = ±√64

a = ±8

∴a = ±8

Hence, the length of a side of each rug is 8ft.

The side length of the cube is 13 feet.

We have given that

Lateral area of a cube = 676 square feet

We have to determine the side length of the cube

So here we use the formula of the lateral surface area of the cube.

[tex]L=4side^2[/tex]

L=676,and side =a

[tex]676=4a^2[/tex]

divide both side by 4

[tex]\frac{676}{4}=a^2[/tex]

[tex]169=a^2[/tex]

Taking square root on both side of equation we will get

[tex]13=a[/tex]

Therefore, Side length of the cube is 13 feet.

To learn more about the lateral area visit:

https://brainly.com/question/1297098

Answer:

13

Step-by-step explanation:

f=72°

d=153°

b=27°

a=64°

be careful i started with f

Answer:

a=64

b=27

d=153

f=72

Step-by-step explanation:

a+72+134+90=360(sum of the angles around a point is 360)

a+296=360

a=360-296

a=64

b=27(vertically opposite angles are equal in magnitude)

27+b+d+e=360(sum of the angles around a point is 360)

d=e (vertically opposite angles are equal in magnitude)

Therefore,

27+27+2d=360

54+2d=360

2d=360-54

2d= 306

d= 306÷2

d= 153

108+f=180(sum of the adjacent angles on a straight line is 180)

f=180-108

f=72

Answer:

since there are 30 students as a whole and 20 boys make up part of the class, you can assume that there are 10 girls in the class. since the mean mark for boys is 62 I think the mean mark for girls would be 8%

Step-by-step explanation:

Answer:

(-4, -2)

Step-by-step explanation:

x-axis is horizontal and y-axis is vetical. The first valye of point A is -4, the second value of point B is -2, therefore, point C = (-4, -2)

The coordinates of C from the given graph are (-4, -2).

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of A = (-4, 1)

The coordinates of B = (3, -2)

Now,

Point C has me same x-coordinate as point A and the same y-coordinate as point B

So,

The coordinates of C = -4, -2)

Thus,

The coordinates of C from the given graph are (-4, -2).

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

Answer: The answer is -15/7

Step-by-step explanation: Think of the 3 as 3/1. You then have the equation as -5/7 x 3/1. Multiply straight across so it would be 5 x 3 and -7 x 1. It doesn't matter what you do with the negative as long as it is in the final answer. It could be in the denominator or the numerator. So that answer is -15/7.

HOPE THIS HELPED!

Answer:

-1 1/7 :)

Step-by-step explanation:

[tex]-\frac{5}{7}[/tex] x 3

[tex]-\frac{5}{7}[/tex] x [tex]\frac{3}{1}[/tex]

[tex]-\frac{15}{7}[/tex]

Now lest simplify it!!

-1 [tex]\frac{1}{7}[/tex]

Hope this helps!!

Have a great day!!

Please rate and mark brainliest!!

Using the Poisson distribution, it is found that the probabilities are given by:

a) 0.1009 = 10.09%.

b) 0.8262 = 82.62%.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

Item a:

The mean is of 7 customers for 60 minutes, hence, for 90 minutes = 1.5 x 60 minutes, the mean is given by:

[tex]\mu = 1.5 \times 7 = 10.5[/tex]

The probability of exactly 8 customers is of P(X = 8), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 8) = \frac{e^{-10.5}10.5^{8}}{(8)!} = 0.1009[/tex]

Item b:

Probability of at least one patient in 15 minutes, hence:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

For 15 minutes, the mean is given by:

[tex]\mu = 0.25 \times 7 = 1.75[/tex]

Then:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 8) = \frac{e^{-1.75}1.75^{0}}{(0)!} = 0.1738[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1738 = 0.8262[/tex]

More can be learned about the Poisson distribution at https://brainly.com/question/13971530

Hey there!

1/2 lwh = v

lwh = 2v

h = 2v/lw

Formula:

H = 2v / l w

H = 2(266.5ft³)/lw

H = 533/lw

Other length are Missing like length and width

Incomplete question

Answer:

The answer is 8.2, I took the test.

Answer:

Explanation:

False statements:

Answer:

By examining the table of ordered pairs, notice that the function f(x) is the cube of [tex]x[/tex].  Therefore,  [tex]f(x)=x^3[/tex]

By examining the table of ordered pairs, notice that as [tex]x[/tex] increases by a constant value, the value of the function g(x) increases by the common ratio of 3. Therefore, [tex]g(x)=3^x[/tex]

From the table, both functions equal 27 when [tex]x=3[/tex], therefore, the point of intersection of the two functions is (3, 27).

As x increases past [tex]x=3[/tex], g(x) increases quicker than f(x) since g(x) is an exponential function and f(x) is a cubic polynomial.

So the following statements are true:

Please refer to the attached graph of both functions with plotted ordered pairs.

Step-by-step explanation:

BC / EC = 21/14 = 3/2.

AC / CD = 27/18 = 3/2.

Angle ACB and ECD are congruent because they are vertical angles.

This means that triangle ABC is similar to triangle DEC by SAS.

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

It says to find the value at x=2. This is going to be a vertical line that passes through the point (2,0). This vertical line intersects the function at (2,-3) therefore the value of the function at 2, is -3.

I hope this helps!

Please mark brainliest!!

Answer:

7

Step-by-step explanation:

Answer:

$22.50

Step-by-step explanation:

105/6= 17.5 each

17.5+5= 22.5

When the triangle XYZ is dilated by a scale factor of 4/3, the resulting triangle would have a bigger side lengths

The algebraic rule  is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

From the question, we understand that:

The scale factor (k) of the dilation is:

k = 4/3

The dilation rule across the origin is represented as:

[tex](x,y) \to k(x,y)[/tex]

Substitute 4/3 for k

[tex](x,y) \to \frac 43(x,y)[/tex]

Expand

[tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

Hence, the algebraic rule that represents how to find the coordinates of triangle X’Y’Z’ is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]

Read more about dilation at:

brainly.com/question/26332230

Answer:

44

Step-by-step explanation:

Lunch = 3 appetizers per guest

If there are 22 guests:  22 × 3 = 66 appetizers served

Dinner = 5 appetizers per guest

If there are 22 guests:  22 × 5 = 110 appetizers served

Difference = total dinner appetizers  - total lunch appetizers

                  = 110 - 66

                  = 44

Answer: no solution

              x - 3y = 3 --------> (1)

               3x - 9y - 2 = 0

               3x - 9y = 2 ---------> (2)

               Solving (1) and (2)

               x - 3y = 3

              3x - 9y = 2

              Multiply Eqn (1) by 3,

              3x - 9y = 9 -------> (3)

              3x - 9y = 2 ---------> (4)

Answer provided by Education Point

equation 1 : [tex]\sf x - 3y - 3 = 0[/tex]

equation 2 : [tex]\sf 3x - 9y - 2 = 0[/tex]

make x the subject in equation 1,

[tex]\sf x = 3+3y[/tex]

insert this in equation 2,

[tex]\rightarrow \sf 3(3+3y) - 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 9+9y- 9y - 2 = 0[/tex]

[tex]\rightarrow \sf 7 = 0[/tex]

Thus no solution for x and y in this solution.

Answer:

36 feet

Step-by-step explanation:

Hello!

Recall that the formula for the area of a triangle is [tex]\frac12b*h[/tex]

That means the equations is 144 = 0.5(8 * h)

Solve:

The height is 36, but since the units are feet, it is 36 feet.

In the question it is given that a triangular garden has an area of 144 ft² and measure of its base is 8ft. So we would be simply using the formula of calculating the area of rectangle.

Here,

To calculate :

We have :

Putting the values in formula :

[tex] \implies \: \sf{144 = \: \dfrac{1}{2} \times l \times 8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{ \cancel2} \times l \times \cancel8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{1} \times l \times 4 } \\ \\ \implies \: \sf{144 = \: l \times 4 } \\ \\ \implies \: \sf{ l \: = \: \dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{36}{1} } \\ \\ \implies \: \red{\underline{\underline{\bf{ l \: = \: 36 }}}}[/tex]

Henceforth,

Answer:

sum up all the sizes and multiple it by 2

Answer:

13.93

Step-by-step explanation:

find the mean
11.60 + 16.25 ÷ 2 = 13.93

Answer:

The Height of the building would be 20 feet.

Step-by-step explanation:

1.) 1/8 = 2.5/X

2.) Answer: 20 Feet

3.) Cross Multiply

    - 1 inch is to 8 feet as 2.5 inches is to 20 feet.

Answer:

95/351

Step-by-step explanation:

the first thing you must do is to add 140 and 94 and 22 together

you get 256

then you subtract 351 with 256 and get 95

and then you do this

95/351

Answer:

It is actually very simple:

Notice that they don't actually do the square of 49 and 64. For some reason, they do the square root of the values without squaring them. If we were to do it in the right way, the answer would be:

[tex]49^{2} +64^{2} = c^{2}[/tex]⇔ 2401+4096 = [tex]c^{2}[/tex] ⇔ 6497 = [tex]c^{2}[/tex] ⇔ [tex]\sqrt{6497}[/tex] = [tex]\sqrt{c^{2} }[/tex] ⇔ 80,6 ≈ c

I believe this is the answer. I hope I had helped :)

car is travelling faster

22 - 18 = 4 meter per second

hope it helps...!!!

1/2 bxh

1/2 30 x 12

15 x12

=12

Answer:

C

Step-by-step explanation:

The answer is C because if you look at the shape carefully, there are two shapes. The measurements for the shape going up and down is (6 x 2 x 4) and the measurements for the shape going from left to right is (8 x 4 x 2).

I wasn't entirely sure how to explain this but I really hope this helps!

Answer:

A and C

those are the two ways to find surface area on that shape without overlap

Answer:

x=6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

24÷4=6

4×6=24

Hope it helps :))