Which describes the statement, "if point b is on ac and between points a and c,
then mab + mbc = mac"?

There is not one particular frequency distribution that is correct, but there are frequency distributions that are less desirable than others. This statement is TRUE.

If interpreted linguistically, frequency distribution is the process of distributing frequencies. In statistics, frequency is the number of times a variable is represented by numbers or numbers. Conditions that are carried out repeatedly in the number series, frequency is also defined as frequency, frequent to rare.

Frequency distribution is a condition that describes the presence of frequency starting from symptoms that appear in the form of numbers, then distributed, divided to radiated. Presentation of numbers in this frequency designation can be in the form of tables, graphs and pictures. Until then the most frequently mentioned term appeared, namely the frequency distribution table.

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Answer:

x = 15.6

Step-by-step explanation:

use the pythagorean theorem:

a² + b² = c²

a = 9

b = x

c = 18

(9)² + x² = (18)²

81 + x² = 324                    subtract 81 from both sides

x² = 243                            take the square root of both sides

x = √243

x = 15.6

Answer: 0.4

Step-by-step explanation:

Two-fifths is 2/5

If you were to put this into a calculator, you would get 0.4.

If this were to come up in a non-calculator test, I would mentally multiply both the numerator and denominator by 2 to get 4/10, which you can then divide quickly to get 0.4. :)

As per the Pythagoras theorem, the the drop-down menus to explain why this is a true equation is written as,

a) x + y

b) z²

c) ½ xy

The Pythagoras theorem is referred as a formula that shows the relationship between the sides of a right angled triangle.

And it can be written as,

=> Hypotenuse ² = opposite ² + adjacent ²

Here from the given question, we have identified that the value of

=> Hypotenuse = z

=> Opposite = y

And Adjacent = x

Apply the value on the formula, then we get

=> z² = x² + y²

Here we know that

=> Area of outer square = area of inner square + 4(area of triangles)

So, the value of area of inner square = length² = (x + y)²

Now, by expanding area of the outer square, we get

=> (x + y)² = (x + y)(x + y) = x²+xy+xy+y²

When we simplify this one then we get

=> (x + y)² = x²+y²+2xy

Here we know that,

=> z² + 2xy

Then the Area of inner square = length² = z²

And the Area of triangle = ½ base × height

=> ½ × x × y = ½ xy

Therefore, Area of outer square = area of inner square + 4(area of triangles)

When we apply the values on it, then we get

=> (x + y)² = z² + 4(½xy )

So, this is a true equation.

And ( x + y )² finds the area of the outer square by squaring its side length.

Then z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.

Therefore, these expressions are equal because they both give the areas of outer space.

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Answer:

You can figure out prime numbers by simply knowing that you can divide that number not more than one. For example, you could know that a prime number is 7 because you can only divide it once like 7 divided by 1. While for number 14, you can divide it twice which isn't a prime number because there is 14 divided by 2 and 14 divided by 1 which is more than one to divide. That's possibly an easy way to understand how to figure them out.

The distance from the bird to the top of the tree is 61.95 feet.

We have,

Angle of elevation to the top of the tree: 38 degrees.

Angle of elevation to the bird: 60 degrees.

Distance from the base of the tree to your position: 84 feet.

Let the distance from the bird to the top of the tree as 'x'.

Using Trigonometry

tan(38) = height of the tree / 84

height of the tree = tan(38) x 84

and, tan(60) = height of the tree / x

x = height of the tree / tan(60)

Substituting the value of the height of the tree we obtained earlier:

x = (tan(38) x 84) / tan(60)

x ≈ 61.95 feet

Therefore, the distance from the bird to the top of the tree is 61.95 feet.

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Step-by-step explanation:

Let's simplify step-by-step.

2(a−3)−5a−2(a−4)

Distribute:

=(2)(a)+(2)(−3)+−5a+(−2)(a)+(−2)(−4)

=2a+−6+−5a+−2a+8

Combine Like Terms:

=2a+−6+−5a+−2a+8

=(2a+−5a+−2a)+(−6+8)

=−5a+2

Answer:

9

Step-by-step explanation:

The functions and differential equations that are linear are:

- f(x) = 1 + x

-  \(f(x, y) = x + y^2\)

- x" + (1 + a sin(t))x = 0 (differential equation)

To determine whether the given functions or differential equations are linear, we need to check if they satisfy the properties of linearity. Here are the evaluations for each case:

1. f(x) = 1 + x :- This function is linear in x since it satisfies the properties of linearity: f(a * x) = a * f(x) and f(x1 + x2) = f(x1) + f(x2), where "a" is a constant.

2. f(x, y) = x + xy + y :- This function is not linear in both x and y since it includes a term with xy, which violates the property of linearity: f(a * x, b * y) ≠ a * f(x, y) + b * f(x, y), where "a" and "b" are constants.

3. f(x) = |x| :- This function is not linear in x because it violates the property of linearity: f(a * x) ≠ a * f(x), where "a" is a constant. For example, f(-1 * x) = |-x| = |x| ≠ -1 * |x|.

4. f(x) = sign(x) :- This function is not linear in x because it violates the property of linearity: f(a * x) ≠ a * f(x), where "a" is a constant. For example, f(-1 * x) = sign(-x) = -1 ≠ -1 * sign(x).

5. \(f(x, y) = x + y^2\) :- This function is linear in x because it satisfies the properties of linearity in x: f(a * x, y) = a * f(x, y) and f(x1 + x2, y) = f(x1, y) + f(x2, y), where "a" is a constant.

6. x" + (1 + a sin(t))x = 0 :- This is a linear differential equation in x since it is a second-order linear homogeneous differential equation. It satisfies the properties of linearity: the sum of two solutions is also a solution, and scaling a solution by a constant remains a solution.

In summary, the functions and differential equations that are linear are:

- f(x) = 1 + x

-  \(f(x, y) = x + y^2\)

- x" + (1 + a sin(t))x = 0 (differential equation)

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Given: The graph as shown in the image

To Determine: The function of the given image

Solution

Let us determine the vertex of the parabola

The vertex is (-1, -1)

The vertex form of a parabola is

Let us substitute the given vertex into the formula

Hence the function is

f(x) = (x + 1)² - 1

Answer:

you bad

Step-by-step explanation:

ferfrfvrgb rg bg bb

Answer: 0.75km

Step-by-step explanation:

The likelihood that the mean sample will deviate by 1.8 watts from the population mean is 0.7498.

What are the values for the median and mean?

By adding up the numbers and dividing the total by the number of numbers in the list, the arithmetic mean can be calculated. This is typically referred to as an average. The middle value in a list that is ranked from least to greatest is called the median.

P(382.2<x<385.8)

Z-score is calculated as z=(x-)/Z.

However, since n=41, /n 100/41=15.6174, so when x=382.2, z=(-1.8)/15.6174, z=-0.1152, and P(z-0.1152)=0.1251, respectively.

P(z0.1152)=0.8749 for x=385.8; consequently, P(113.7x120.3)=0.8749-0.1251 = 0.7498.

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Answer:

x=18

Step-by-step explanation:

We'll assume that the shorter sides are AB and CD. Then 7x-6=5x+30. You add 6 to both sides. 7x=5x+36. Isolate x. 2x=36. Divide, and x=18.

Answer:

Yes

Step-by-step explanation:

An obtuse triangle will have two obtuse angle at its exterior.

Take for instance, the angles in the triangle are 100, 40 and 40.

The exteriors would be 80, 140, 140 (this is gotten by subtracting each interior angles from 180).

So, using the above analysis, we can conclude that the statement is possible.

Polynomials are algebraic expressions with variables and coefficients.

cost of the materials = (115 - 35) / 2.5 = $77.5

Equation P= 2.5m + 35

The price of a bracelet is $115.

P = 115.

cost of the materials = (115 - 35) / 2.5 = $77.5

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Answer:

the x is going by one's and the y is going by nine's

-8+9=1

1+9=10

10+9=19

19+9=28

Answer:

Step-by-step explanation:

-16p+37=49-21p what is the answer?

-16p + 37 = 49 - 21p

-16p + 21p = 49 - 37

5p = 12p =

p = 12/5

Linear and exponential relationships differ in the way the y-values change when the x-values increase by a constant amount

Linear growth occurs when the same quantity is added in each unit of time. When an initial population grows by the same proportion or factor across equal time increments or generations, this is referred to as exponential growth.

The formula f(x) = ax defines an exponential function, where x represents the input variable as an exponent. The exponential curve is determined by the exponential function and the value of x. The exponential function is a significant mathematical function of the type. F(x) = ax. When a line has a positive slope (m > 0), y always grows when x increases and always lowers when x decreases.

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Hey there! :)

Answer:

Right 5, down 23

Step-by-step explanation:

Beginning with the parent function f(x) = x²:

Find the translations of the graph g(x) by completing the square to rewrite the equation in vertex form:

g(x) = x² - 10x + 2

-2 = x² - 10x

-2 + 25 = (x² - 10x + 25)

23 = (x - 5)²

Rewrite:

g(x) = (x - 5)² - 23

The translations that we can see from this equation in vertex form are a horizontal translation of 5 units right and 23 units down. Therefore:

Right 5, down 23 is the correct choice.

Answer:

option A

Step-by-step explanation:

yee yee

Answer:

They are b and c. (Step-by-step explanation:Let's simplify each expression: a. b+2 (b+2b)= b + 2b + 4b = 7b.b. 3b + b = 4b.c. 2(2b) = 2 ...

They are b and c.

Step-by-step explanation:

Let's simplify each expression:

a. b+2 (b+2b)

= b + 2b + 4b = 7b.

b.  3b + b = 4b.

c. 2(2b) = 2 * 2b = 4b.

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

The value of cos (x + pi) is -✓3/2, based on the stated information and known trigonometric values.

As per the known fact, the value of x wil be 30° as it is the specific value whose cosine or cos is ✓3/2. Now, we also know that π represents 180°. Also, the formula for cos (a + b) is cos A cos B - sin A sin B.

So, cos (x + pi) will be -

cos x cos pi - sin x sin pi

Keeping the values and solving -

cos (x + pi) = cos 30 cos 180 - sin 30 sin 180

cos (x + pi) = (✓3/2 × -1) - (1/2 × 0)

cos (x + pi) = -✓3/2

Hence, the value of cos (x + pi) is -✓3/2.

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Answer:

188.57 in

Step-by-step explanation:

Circumference = 2πr = 2πd/2 = πd

\( = \frac{22}{7} \times 60 \: in\)

= 188.57 in ( approx.)

Given,

The height of the building upto 9th floor is 39 meters.

The angle of elevation is 31 degree.

The angle of depression is 42 degree.

The diagram of the building and taller building is,

Consider,

AB is the height of the building upto 9th floor.

CE is the height of the taller biulding.

BE=AD is the distance between building and taller building.

Taking triangle ADE,

The distance between the building and the taller building is 43.34 m (approximately).

Taking triangle ADC,

The height of the taller building is,

The height of the taller building is 65.1 meter.

The structure indicated by: 10a, 15t, 3g, 7c? is a structure related to the composition of a DNA or RNA sequence.

The given information "10a, 15t, 3g, 7c" suggests a pattern or structure related to the composition of a DNA or RNA sequence.

In molecular biology, DNA and RNA are made up of nucleotides, which consist of a nitrogenous base (adenine, thymine/uracil, guanine, or cytosine) and a sugar-phosphate backbone.

Based on the provided data, it appears that the numbers preceding each letter indicate the count or frequency of that particular nucleotide in the sequence.

Therefore, the structure indicated by "10a, 15t, 3g, 7c" implies the composition of a DNA or RNA sequence with the following nucleotide counts:

10 adenine (A) nucleotides (abbreviated as 10a)

15 thymine (T) nucleotides (abbreviated as 15t)

3 guanine (G) nucleotides (abbreviated as 3g)

7 cytosine (C) nucleotides (abbreviated as 7c)

Together, these nucleotides make up a portion of the DNA or RNA sequence, indicating the presence and quantity of each base in that particular section.

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The terminal side of an angle of t radians in standard position is in the fourth quadrant.

If cos(t) > 0 and sin(t) < 0, then we know that t is in the fourth quadrant.

Here's why:

Since cos(t) > 0, the cosine function is positive in either the first or fourth quadrant. However, sin(t) < 0 means that the sine function is negative, which only occurs in the third or fourth quadrant. Therefore, t must be in the fourth quadrant where both cos(t) and sin(t) are positive.

Alternatively, we can use the fact that the tangent function is negative in the second and fourth quadrants. Since sin(t) < 0, we know that the terminal side of the angle t is below the x-axis. This means that the tangent of t is negative, and therefore t is in the fourth quadrant where the tangent function is negative.

In either case, we can conclude that the terminal side of an angle of t radians in standard position is in the fourth quadrant.

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Each single entertainment segment is 4.5 minutes.

Out of the 20 minute show there are two blocks of time that are ads. The ads are each 13/4 minutes long.

13/4 = 13 ÷ 4 = 3.25

minutes.

Let's take away the time used for ads from the 20 minute total.

20 - 3.25 - 3.25

= 13.5

Without ads the show's actual runtime is 13.5 minutes.

Now we'll divide that 13.5 into three equal parts.

13.5 ÷ 3 = 4.5

Each of the three equal entertainment segments is 4.5 minutes long.

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Answer:

Step-by-step explanation:

it is 5.9 feet

The value of 180cm after conversion will become 5 feet and 11 inches.

Centimeters and feet are units for measuring the length and height of objects and people. Given a value in centimeters and needing to convert it to its equivalent in feet, how can you convert centimeters to feet? You can divide the length value by 30.48 . Also check out our centimeters to feet calculator.

1 cm = 1/30.48 feet

So 1 cm = 0.0328084 feet

You can convert cm to feet by multiplying the length value by 0.0328084. However, there are gauges that can measure height in centimeters (cm) or feet.

Therefore, 180 cm will be approximately, equal to 5 feet and 11 inches.

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