What is the length of AB?
A) 6.2
B) 12.3
C) 5.0
D) 15.1

Answer:

a) 984.6080 = 984.61 to 2 decimal places

b) 984.6080 = 984.6 to 4 significant figures

c) 984.6080 = 984.608 to 3 decimal places

d) 984.6080 = 984.61 to the nearest h

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

just add all the sides

5+5+2+2= 14

Answer:

x=0.7x+24

We move all terms to the left:

x-(0.7x+24)=0

We get rid of parentheses

x-0.7x-24=0

We add all the numbers together, and all the variables

0.3x-24=0

We move all terms containing x to the left, all other terms to the right

0.3x=24

x=24/0.3

x=80

And that's how you get 80

Step-by-step explanation:

i hope this helps.    :)

Answer: x = 80

Step-by-step explanation:

80 - 24 = 56

56 divided by 0.7 = 80

Answer:

332.999

Step-by-step explanation:

juice wrld

This linear function rule represents the relationship between the number of Samples (x) and the cost (y) at the food festival.

A linear function rule to model the cost of samples at the food festival, we need to determine the relationship between the number of samples (x) and the corresponding cost (y).

From the given information, we have two data points:

1. Admission and 4 samples cost $7.75.

2. Admission and 6 samples cost $9.75.

Let's use these data points to determine the equation of the linear function.

Data Point 1:

Admission + 4 samples = $7.75

Data Point 2:

Admission + 6 samples = $9.75

We can express these equations as:

Admission + 4x = $7.75   ... Equation (1)

Admission + 6x = $9.75   ... Equation (2)

To find the linear function, we need to isolate the cost (y) on one side of the equation. Let's start by subtracting the cost of admission from both sides of the equations:

4x = $7.75 - Admission

6x = $9.75 - Admission

Next, we need to eliminate the variable "Admission" from the equations. To do that, we can subtract Equation (1) from Equation (2):

6x - 4x = ($9.75 - Admission) - ($7.75 - Admission)

2x = $2.00

Simplifying the right side of the equation:

2x = $2.00

Finally, we can solve for x by dividing both sides of the equation by 2:

x = $2.00 / 2

x = $1.00

Now that we have the value of x, we can substitute it into either Equation (1) or Equation (2) to find the cost of admission:

Admission + 4(1) = $7.75

Admission + 4 = $7.75

Admission = $7.75 - 4

Admission = $3.75

Therefore, the linear function rule to model the cost (y) for any number of samples (x) is:

y = Admission + 2x

Substituting the value of Admission ($3.75):

y = $3.75 + 2x

This linear function rule represents the relationship between the number of samples (x) and the cost (y) at the food festival.

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Answer:

5*8*4

Step-by-step explanation:

Multipy them together lol

The y-intercept of the line represented by the equation is; 60.

It follows from the task content that the y-intercept of the line represented by the equation is to be determined.

On this note, we must recall that the y-intercept of an equation is the value of y when x = 0.

Therefore, we have;

-60 (0) + 2y - 120 = 0

2y = 120

y = 60.

Hence, the y-intercept of the line represented by the equation is; 60.

Consequently, it can be inferred that the Ernesto is wrong in his evaluation of the y-intercept as 30.

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She will have run a total of 2.25 racers in 27 racers

From the question, we have the following parameters that can be used in our solution:

Total number of racers = 27 racers

Number of racers in a run = 12 racers

From the above parameter, we can calculate the total number of racers using the following equation

The total number of racers is calculated as

Total number of racers in the run = Total number of racers/Number of racers in a run

Substitute the known values in the above equation

So, we have the following equation

Total number of racers in the run = 27/12

Evaluate the quotient

Total number of racers in the run = 2.25

Hence, the total number of racers in the run is 2.25 racers

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Step-by-step explanation:

the answer is in the photo

Answer: 15

Step-by-step explanation: 5 % means 0.05

0.05 ·300 =15

Answer:

B,because it says he wants to have

Answer:

52

Step-by-step explanation:

416 divided by 8 equals 52 the blanks below 416 get filled in with 10 bring down your one the next 2 blanks are filled with 16 minus 16 and ya get 0

The investor can obtain an annual annuity payment of approximately $48,651 for his retirement years.

To calculate the annual annuity payment, we can use the present value of an ordinary annuity formula. The formula is:

PV = C × [(1 - (1 + r)^-n) / r]

Where:

PV is the present value of the annuity,

C is the annual payment,

r is the interest rate,

n is the number of periods.

In this case, the investor has a retirement period of 25 years, and the interest rate is 7.5%.

The present value of the annuity is the amount the investor can invest today plus the present value of the annual payments he can make for 30 years.

Using the formula, we can solve for C, the annual payment, which comes out to approximately $48,651.

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The characteristic of the classical approach to probability is that the probabilities assume outcomes of an experiment are equally likely , the correct answer is (d) .

The Classical Approach to probability is also known as the "classical method" .

The classical approach is based on the assumption that all outcomes of an experiment are equally likely to occur.

The probability of an event is then calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

This classical approach is often used in situations where the outcomes of an experiment can be clearly defined and enumerated.

Therefore, the correct statement about Classical Approach is in Option(d).

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The given question is incomplete , the complete question is

Which one of the following is a characteristic of the classical approach to probability?

(a) Probabilities are based on outcomes observed from past experiments.

(b) None of the above.

(c) Probabilities are based on opinion.

(d) Probabilities assume outcomes of an experiment are equally likely.

Answer:

28 because he loaned ant how loaning gos

Answer:

-28

Step-by-step explanation:

;)

Answer:

3/250

Step-by-step explanation:

21/35 divided by 50 = 21/1750

Simplify this into 3/250

(a) The product of two rational numbers, the quotient of a rational number and a non-zero rational number, 3x + 2y and 3x² + 2y are all rational numbers.

b) The quotient of a rational number and a non-zero rational number is a rational number.

c) If x and y are rational numbers, then 3x + 2y is also a rational number.

d) If x and y are rational numbers, then 3x² + 2y is also a rational number.

(a) Statement: The product of two rational numbers is a rational number.

Proof:

Let x and y be rational numbers, where x = a/b and y = c/d, where a, b, c, and d are integers and b, d are non-zero.

The product of x and y is given by xy = (a/b) * (c/d) = (ac)/(bd).

Since ac and bd are both integers (as the product of integers is an integer) and bd is non-zero (as the product of non-zero numbers is non-zero), xy = (ac)/(bd) is a rational number.

Therefore, the product of two rational numbers is a rational number.

(b) Statement: The quotient of a rational number and a non-zero rational number is a rational number.

Proof:

Let x be a rational number and y be a non-zero rational number, where x = a/b and y = c/d, where a, b, c, and d are integers and b, d are non-zero.

The quotient of x and y is given by x/y = (a/b) / (c/d) = (a/b) * (d/c) = (ad)/(bc).

Since ad and bc are both integers (as the product of integers is an integer) and bc is non-zero (as the product of non-zero numbers is non-zero), x/y = (ad)/(bc) is a rational number.

Therefore, the quotient of a rational number and a non-zero rational number is a rational number.

(c) Statement: If x and y are rational numbers, then 3x + 2y is also a rational number.

Proof:

Let x and y be rational numbers, where x = a/b and y = c/d, where a, b, c, and d are integers and b, d are non-zero.

The expression 3x + 2y can be written as 3(a/b) + 2(c/d) = (3a/b) + (2c/d) = (3ad + 2bc)/(b*d).

Since 3ad + 2bc and bd are both integers (as the sum and product of integers is an integer) and bd is non-zero (as the product of non-zero numbers is non-zero), (3ad + 2bc)/(b*d) is a rational number.

Therefore, if x and y are rational numbers, then 3x + 2y is also a rational number.

(d) Statement: If x and y are rational numbers, then 3x² + 2y is also a rational number.

Proof:

Let x and y be rational numbers, where x = a/b and y = c/d, where a, b, c, and d are integers and b, d are non-zero.

The expression 3x² + 2y can be written as 3(a/b)² + 2(c/d) = (3a²/b²) + (2c/d) = (3a²d + 2b²c)/(b²d).

Since 3a²d + 2b²c and b²d are both integers (as the sum and product of integers is an integer) and b²d is non-zero (as the product of non-zero numbers is non-zero), (3a²d + 2b²c)/(b²d) is a rational number.

Therefore, if x and y are rational numbers, then 3x² + 2y is also a rational number.

Therefore, the product of two rational numbers, the quotient of a rational number and a non-zero rational number, 3x + 2y (where x and y are rational numbers), and 3x² + 2y (where x and y are rational numbers) are all rational numbers.

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Answer:

I only got 8.5 but I could be wrong

Step-by-step explanation:

Answer: ax - b x  ax +b

Step-by-step explanation:

The two parenthesis in the middle stand for multiplication

The amount of the money borrowed is 864.941

So the amount of money over time can be given with an exponential function y=a(b)^x or more specifically y=a(1+r)^x   where r is the growth rate (interest rate)

So the equation can be written as

m=(1.04)^t

   Where m represents the amount of money over time, P represents the principal amount, and t represents time in years. Since we're given the amount of interest paid and not the total amount which includes the initial amount borrowed you have to subtract P from the equation. This will give us the equation that we'll use to find the initial amount

\(I=P(1.04)^t-P\) where I represent the interest paid.

plug the values into the equation

\(108=P(1.04)^3-P\\P=864.941\)

Therefore the amount of the money borrowed is 864.941.

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Answer:

Double number line is a diagram used when. quantities have different units.

It shows each of the quantities on its own number line with corresponding pairs of values lined up.The values of each number line are not the same unless there is a 1:1 ratio between them.

Step-by-step explanation:

Answer:

Double number line is a diagram used when. quantities have different unit

El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

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Answer:

No solution!

Just turned it in <3

To find the percentage, we must move the decimal place to the right two times. After doing this, 0.66 written as a percentage is 66%.

Answer:

66%

Step-by-step explanation:

All you do is put the decimal places two please to the right or do the number times 100.     .66 times 100= 66%

Answer:

i think 18

Step-by-step explanation:

Option a. The car is 115.47 feet from the building is correct for the given right triangle.

A trigonometric formula known as the rule of sines connects any triangle's sides and angles. It claims that for all three sides of a triangle, the ratio of the length of one side to the sine of the angle opposite that side is the same. In other words, if a triangle has angles A, B, and C opposing its sides and sides a, b, and c, then:

If a/sin(A) = b/sin(B) = c/sin(C), then

If some of the other sides and angles of a triangle are known, this formula can be used to solve for those unknown sides or angles. However, it is restricted to triangles and calls for the measurement of at least one angle and one side's length.

The situation can be depicted as a right triangle, with building 200 feet, the angle of depression is 30 degrees.

Now,

tan(30) = opposite/adjacent = 200/distance

distance = 200/tan(30) ≈ 115.47 feet

Hence, option a. The car is 115.47 feet from the building is correct for the given right triangle.

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What line? I can't see any image.

Dodie's triangular plot with 160 rose plants will have 12 rows.

To solve it,

Assigning a variable to the number of rows we want to find. Assume that this variable is "n".

Since there are 5 more plants in each row than in the previous row,

We can use an arithmetic sequence to represent the number of plants in each row.

Specifically, the first row will have 1 plant, and the second row will have

1 + 5 = 6 plants, the third row will have 1 + 5 + 5 = 11 plants, and so on.

The formula for an arithmetic sequence is,

an = a1 + (n-1)d

Where an is the nth term of the sequence,

a1 is the first term,

And d is a common difference.

Using this formula, we can write an expression for the total number of plants in all n rows,

160 = n/2 (2 + (n-1)5)

Simplifying this equation, we get,

160 = 2.5n² + 2.5n - 5

Now we can solve for n using the quadratic formula,

n = (-2.5 ± √(2.5²+ 4(2.5)(165)))/(2(2.5))

After simplifying this equation, we get two solutions,

n = -13.2 and n = 12.2.

Since we can't have a negative number of rows, we'll take the positive solution, n = 12.2.

Now, since we can't have a fraction of a row, we'll round down to the nearest integer.

Therefore, Dodie's plot will have 12 rows.

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Answer:

a= 1 b= 0.0625 c= 0.0039 d= 1 e=0.4444 f= 0.1975

Step-by-step explanation:

Plug the x into the equation

We are given the following picture

We are given the following statements

- Line BA is congruent to line OC

- Line ON is congruent to line DA

- Angle A is congruent to angle O

If we highlight the congruencies we get

where the matching colors indicate congruency. As we can see, we have a pair of sides that are congruent and the included angle are also congruent. This is the condition for the SAS theorem to apply. Hence both triangles are congruent by the SAS theorem