Tell whether the information in the diagram allows you to conclude that c is on the perpendicular bisector of an

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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C=2 pie r

81.3/2pie=r

R=12.94

D=2r

D= 25.88

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

Clockwise rotation

Step-by-step explanation:

Took the test, the other answer here was incorrect

Answer: 16

Step-by-step explanation:

To get from 3 to 12, you multiply by 4

To get from 5 to 20, you multiply by 4

So you just multiply 4 by 4 to get x

Answer:

x = 16

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{x}{4}\) = \(\frac{20}{5}\) = 4 ( multiply both sides by 4 to clear the fraction )

x = 16

The answer of the given question to fill the blanks is , (a) sum  , (b) squares , (c) deviations , (d) square .

In mathematics, squaring a number means multiplying the number by itself. This operation is represented by an exponent of 2, and the result is called the square of the number. Squares have many applications in mathematics, including in geometry, algebra, calculus, and statistics.

For example, squares are used to calculate areas of squares and rectangles, to solve quadratic equations, to find the derivative of certain functions, and to measure the variability of data in statistics. Squares are a fundamental concept in mathematics, and understanding their properties and applications is essential for many fields of study.

a. Σx is read as "the sum of all x values."

b. Σx² is read as "the sum of the squares of all x values."

c. Σ(x-x bar) is read as "the sum of the deviations of x minus x bar."

d. (Σx)² is read as "the square of the sum of all x values."

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If we write a quadratic in vertex form:

\(y=a(x-h)^2+k\)

Then:

\(\bold{a}\)   \(\longrightarrow\)    is the coefficient of \(x^2\)

\(\bold{h}\)   \(\longrightarrow\)    is the axis of symmetry.

\(\bold{k}\)   \(\longrightarrow\)    is the max/min value of the function.

Also:

If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.

\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.

For the given functions:

\(a < 0\)

\(f(x)=-(x-1)^2+5\)        this has a maximum value of \(\bold{5}\)

\(a > 0\)

\(f(x)=(x+2)^2-3\)           this has a minimum value of \(\bold{-3}\)

Answer:

Step-by-step explanation:

the answer is 0.4465 or if needed to be rounded then 0.45

The correct order of the assumptions used in the derivation is: A, B, C, D, E. A states that the population is large, B: random, C: representative, D: large, and E states that the sampling is done without replacement.

The derivation of the Central Limit Theorem was based on five assumptions: (a) The population is large, (b) The sample is random, (c) The sample is representative, (d) The sample size is large, and (e) The sampling is done without replacement. The first assumption used in the derivation is that the population is large, which means that the number of individuals in the population is much greater than the sample size. This is important because the Central Limit Theorem states that the mean of the sample will approach the population mean as the sample size increases. The second assumption used is that the sample is random, which means that each individual in the population has an equal chance of being selected for the sample. This helps to ensure that the sample is representative of the population as a whole. The third assumption is that the sample is representative, which means that the characteristics of the sample are similar to those of the population. This is important because it allows us to make generalizations about the population based on the sample. The fourth assumption is that the sample size is large. This is important because the Central Limit Theorem states that the mean of the sample will approach the population mean as the sample size increases.

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Answer:

2(x - 3)

Step-by-step explanation:

Answer:

I don't know the answer sorry for the answer

20 people likes movies, such that  12 of these also like music, then the probability is just the quotient between:

Q = 12/20 = 0.6

The probability that a person likes music given that he/she lies movies is 0.6 or 60%

Notice that there are 5 + 7 common elements between movies and music, and a total of 20 people likes movies, such that 5 + 7 = 12 of these also like music, then the probability is just the quotient between the numbers of total people that likes movies which we know is 20, and the people that likes movies and also music.

So the quotient between 12 and 20, that will gave us the probability we want to find.

The probability that a person likes music given that he/she lies movies is 0.6 or 60%

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The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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Consider that the sum of the interior angles of a triangle is equal to 180°. Then, by using the given measure in the image, you have:

18u + 18u + 108 = 180 simplify like terms left side

36u + 108 = 180 subtract 108 both sides

36u = 180 - 108

36u = 72 divide by 36 both sides

u = 72/36

u = 2

Hence, the value of u is 2

Step-by-step explanation:

6.3%

that is the correct answer

Answer:

The answer is 4.

Step-by-step explanation:

If this shape has a perimeter of 36, and the base has a length of 14, you subtract 36 - 28 because there are two sides that have a length of 14. You get 8 by subtracting 36 - 28, and divide the answer by 2.

Answer: B. 12.7

Step-by-step explanation:

Answer:

D.8.5

Step-by-step explanation:

38.4/2=

19.2 L

19.2-10.7=

8.5

hope this helps ; )

Answer:

p/12.5 = 70/100

Step-by-step explanation:

a percent is considered out of 100

since you know the total 12.5, that will fit as the whole

Translation 4 units to the left transforms the point (x, y) into (x-4, y). Applying this rule to the parallelogram WXYZ, we get:

W(0, -2) → (0-4, -2) →W'(-4, -2)

X(2, -2) → (2-4, -2) → X'(-2, -2)

Y(2, -5) → (2-4, -5) → Y'(-2, -5)

Z(0, -5) → (0-4, -5) → Z'(-4, -5)

Translation 6 units up transforms the point (x, y) into (x, y+6). Applying this rule to the parallelogram W'X'Y'Z', we get:

W'(-4, -2) → (-4, -2+6) → W''(-4, 4)

X'(-2, -2) → (-2, -2+6) → X''(-2, 4)

Y'(-2, -5) → (-2, -5+6) → Y''(-2, 1)

Z'(-4, -5) → (-4, -5+6) → Z''(-4, 1)

Where the parallelogram W''X''Y''Z'' is the image of Parallelogram WXYZ translated 4 units to the left and 6 units up, as can be seen in the next graph:

Answer:

The rate of change is 28.

Step-by-step explanation:

The equation is in slope-intercept form,  y = mx + b, where m is the slope, and b is the y-intercept.

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:

Second option correct

Answer:

the answer is 12 because its in a pattern

Step-by-step explanation:

cuz its easy

To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.

A relation represents a function when each input value is mapped to a single output value.

In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.

The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.

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Answer:

25.50 is the final price

Step-by-step explanation:

First find the new price at 15% off

59.99 * 15%

59.99 * .15

9.00

Subtract 9 dollars from the price

59.99-9.00

50.99

Now take 50% off

50.99 * 50%

50.99*.50

25.50

50.99-25.50

25.50

Answer:

"7" Would be your answer.

Step-by-step explanation:

Case 1: a = 0; b = 0 --> Real Number

Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number

Case 3: a ≠ 0; b = 0 --> Real Number

Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number

For each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.

Case 1: a = 0; b = 0

In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.

Case 2: a = 0; b ≠ 0

Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.

Case 3: a ≠ 0; b = 0

In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.

Case 4: a ≠ 0; b ≠ 0

Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.

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Answer:

\(\mu=473.2\)

Step-by-step explanation:

Binomial Distribution

The binomial distribution is commonly used to model the number of successes in a sample of size n drawn with replacement from a population of size N.

The mean value of a binomial distribution is given by:

\(\mu=np\)

Where b is the number of trials and p is the success probability for each trial.

We need to find the mean value with parameters n=676 and p=0.7, thus:

\(\mu=676\cdot 0.7\)

\(\boxed{\mu=473.2}\)

After considering all the given data we conclude that the area of the given figure is 80, under the condition that the given figure is a rhombus.

Let us name the rhombus as ABCD, now looking at the figure we can detect that there are two diagonals crossing each other making a point  E, this allows the  two  diagonals to split in four smaller lines that are congruent in value
Then
Line AE = 5ft and Line ED = 5ft (because of congruency)
Line CE = 8ft and Line EB = 8ft(because of congruency)
Therefore,
Now we know that the diagonals
AD = 10ft
CB = 18 ft
The area of a rhombus can be evaluated applying the formula
Area = (d1 × d2) / 2,
Here,
d1 and d2 = lengths of the diagonals.
For this case, the diagonals are 10 ft and 16 ft.
Then, the area of the rhombus is
(10 × 16) / 2
= 80
Then, the area of the given figure is 80.
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If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:

b = total_number_of_pears / pears_per_bag

In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.

Given that Natalie has a total of 48 pears, we can substitute the value into the equation:

b = 48 / pears_per_bag

Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.

Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:

b = 48 / 4

Simplifying the equation gives:

b = 12

So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.

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