On earth there are about 10 000 000 000 000 000 ants and 6 000 000 000 humans.
The ratio of humans to ants is approximately equal to:
​

Note that it is correct to state that LN ≅ MN and Nk ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK. See attached image.

A perpendicular bisector is a line that cuts another line segment across the junction point at a straight angle. As a result, a perpendicular bisector always cuts a line segment through its midway. The phrase bisect implies dividing evenly or uniformly.

A simple technique to determine a perpendicular bisector is to measure the line segment you need to bisect. Then, divide the measured length by two to determine the midway. Draw a line at a 90-degree angle out from this middle.

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Full Question:

Tell whether the information in the diagram allows you to conclude that point P lies on the perpendicular bisector of LM. Explain your reasoning. See attached image.

A) No. You would need to know that LK ⊥ MK

B) No. You would need to know that KP ⊥ LM
C) Yes, t LN ≅ MN and Nk ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK
D) Yes, NK ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

4

Step-by-step explanation: the factors are 1  2  4  5

Answer:

6

Step-by-step explanation:

20 has 6 factors they are , 1, 2, 4, 5, 10, 20

Answer: B

Step-by-step explanation:

1825/25=73

73*2=146

146

The formula that defines the sequence is f(n) = f(n-1) + 4

The recursive function rule is expressed as;

f(n) = f(n-1)  + d

where

d is the common difference

Given the following sequence

2, 6, 10, 14, 18..

Determine the common difference

d = 6-2 = 10-6

d = 4

Substitute to have

f(n) = f(n-1)  + d

f(n) = f(n-1) + 4

Hence the formula that defines the sequence is f(n) = f(n-1) + 4

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

43.96 cm

Step-by-step explanation:

Given

diameter (d) = 14 cm

Circumference (C)

= πd

= 3.14 * 14

= 43.96 cm

The statement that is true is that the lowest score in section 2 is higher than the highest score in either of the other sections.

Professor James gave the same test to his three sections of statistics students. On the 35-question test, the highest score was 32 and the lowest was 15.

To determine this, we can look at the boxplots. In section 1, the lowest score is 15 and the highest score is 27. In section 2, the lowest score is 24 and the highest score is 32. In section 3, the lowest score is 20 and the highest score is 28.

Since the lowest score in section 2 (24) is higher than the highest score in either of the other sections (27 and 28, respectively), this statement is true. Therefore the correct option is b.

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Answer:

No.

Step-by-step explanation:

Well at first glance it might seem so but there are two points particularly that can tell you that these points cannot be within a function.

The points (3,2) and (3,-2) will yield an undefined slope (a straight vertical line). There is no possibility that the other points can be in this line (as their y - values are different) and there is no possibilty that this is a function at all according to the vertical line test (the test is that if you draw a vertical line that there shouldn't be more than one point on it).

Answer

All 4 sides are congruent and all 4 angles are right angles

Step-by-step explanation

In a square, all the four sides measure the same (they are congruent). And the four angles are right angles, that is, they measure 90°

Answer:

C) 4

Step-by-step explanation:

By definition, cosecant (csc) is the reciprocal of sine (sin). The reciprocal of 1/4 is equal to C) 4.

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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Answer:

The most common units of distance are inches, feet, yards, and miles.

Step-by-step explanation:

Hope this helped you :) N read my 9 poems I have written :)

9514 1404 393

Answer:

  (f-g)(x) = 4x^3 +7x^2 -6x +1

Step-by-step explanation:

(f -g)(x) = f(x) -g(x)

  = (4x^3 +7x^2 -2x -1) -(4x -2)

  = 4x^3 +7x^2 +(-2-4)x +(-1+2)

(f -g)(x) = 4x^3 +7x^2 -6x +1

Answer: 9530

Step-by-step explanation: It has to be 9 in the thousands place to start of. And for it to round to 10,000, it would have to be 5 since it would round up one more thousand. And I would just say 3 because its bigger. Then 0

The zeros and the multiplicities are

from the question, we have the following parameters that can be used in our computation:

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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Answer:

x=5

Step-by-step explanation:

Lets first solve for y on both sides:

\(2x-4=3y\\\frac{2x-4}{3}=y\\ y=\frac{2x-4}{3}\)

\(5y-x=5\\5y=5+x\\y=\frac{5+x}{5}\)

Set the two equations equal to each other and solve for x:

\(\frac{2x-4}{3}=\frac{5+x}{5}\)

Multiple both sides by 3:

\(2x-4=\frac{3(5+x)}{5}\)

Multiply both sides by 5:

\(5(2x-4)=3(5+x)\)

Apply distributive property to both sides:

\(10x-20=15+3x\)

Add 20 to both sides:

\(10x=35+3x\)

Subtract 3x from both sides:

\(7x=35\)

Divide both sides by 7:
\(x=5\)

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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The number of calories in each serving is 125.14 calories.

The bad of popcorn has 438 calories. Also, it was stated that it can serve 3.5 people.

The number of calories for each serving will be the division of the calories given.

This will be:

Number of calories = Total calories / Number of people

= 438 / 3.5

= 125.14 calories

Each serving has 125.14 calories.

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Answer:

12.5%

Step-by-step explanation:

r = (1/4)((1500/1000) - 1) = 0.125

r = 0.125 = 12.5%

The required value of the x in the proportional relationship is 8.

Given that,
Variables y and x have a proportional relationship and y = 21 when x = 14. What is the value of x when y = 12 is to be determined.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
y = 21 when x = 14,
y = 12 when x = ?
So y is proportion to x,
21 / 12 = 14 / x
x = 14 (12 / 21)
x = 2 (12 / 3)
x = 2 (4)
x = 8

Thus, the required value of the x in the proportional relationship is 8.

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The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

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El salario promedio de los jefes de departamento es de $55,375 y el salario promedio de las secretarias es de $19,625.

Vamos a representar el salario promedio de los jefes de departamento como "J" y el salario promedio de las secretarias como "S". Según la información proporcionada, tenemos las siguientes relaciones:

1. El salario promedio de los jefes de departamento es $3,500 menos que tres veces el salario promedio de las secretarias:

  J = 3S - $3,500

2. Combinados, los salarios promedio son $75,000:

  J + S = $75,000

Ahora, podemos resolver este sistema de ecuaciones para encontrar los valores de J y S.

Sustituyendo la primera ecuación en la segunda ecuación, tenemos:

(3S - $3,500) + S = $75,000

Resolvamos esta ecuación:

4S - $3,500 = $75,000

Sumamos $3,500 en ambos lados de la ecuación:

4S = $75,000 + $3,500

4S = $78,500

Dividimos por 4 en ambos lados de la ecuación para despejar S:

S = $78,500 / 4

S = $19,625

Ahora, podemos sustituir este valor en la primera ecuación para encontrar J:

J = 3S - $3,500

J = 3($19,625) - $3,500

J = $58,875 - $3,500

J = $55,375

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m≠0, m must not be zero. I hope this helps!

The value of x that is measure of angle R from the given triangle PQR is 60°.

In the given triangle PQR, angle P is right angle and measure 90°, angle Q measures 30° and angle R measures x.

We know that, sum of the interior angles of triangle is 180°.

Here, ∠P+∠Q+∠R=180°

90°+30°+∠R=180°

120°+∠R=180°

∠R=180°-120°

∠R=60°

Therefore, the value of x that is measure of angle R from the given triangle PQR is 60°.

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Answer:

The answer is d, 2/3y-6

Step-by-step explanation:

Answer:

A Conditional Statement

Answer:

Conditional would have that form.

Step-by-step explanation:

the range of data i think is c

mode is a.5

The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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