The area of a circle is 497 squared meters.
What is the radius, in meters?

Answer:

3619.11 or 3619.1

Step-by-step explanation:

i don't really know how to explain but that's what i got

Answer:

3,619.1 cm^3

Step-by-step explanation:

\(V=\pi r^{2}\frac{h}{3} \\V=\pi 12^{2} \frac{24}{3} \\V=3,619.115\)

If we assume that each student's heart creates the same amount of energy as a single person, the energy created would be enough to drive the truck for 192000 meters.

If we assume that each student's heart creates the same amount of energy as a single person, we can estimate the total amount of energy created by the class.

If one person's heart creates enough energy to drive a truck for 32 kilometers,

Then six people's hearts would create enough energy to drive the truck for 32 x 6 = 192 kilometers.

In meters, it would be 192 x 1000 = 192000 meters.

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Every day your heart creates enough energy to drive a truck for 32 kilometers. If you combined the energy that is created by all the students in your math class for a week, how many meters could the truck drive?

Number of students is 6

The probability that a person who tests positive actually has the disease is 0.012%

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

The probability that a person who tests positive actually has the disease is represented as

Probability = Incidence rate * False positive rate

Substitute the known values in the above equation, so, we have the following representation

Probability = 0.3% * 4%

Evaluate the products

Probability = 0.012%

Hence, the probability is 0.012%

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Answer:

4

Step-by-step explanation:

2/3 x 6 = (2)(6)/3 = 4

Answer:

2/3*6

2*2

4

Step-by-step explanation:

i have done directly

divide 6/3 ans will come 2

and multiply both 2

ans will come 4

Answer:

z = -3

Step-by-step explanation:

5z+3=-12

   -3   -3

5z=-15

/5    /5

z = -3

Hope this helps :)

Answer:

\(x=\dfrac{32}{15}\)

In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

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A positive and a negative co - terminal angle for each given angle is 1) -π/2 and -9π / 2 and 2) 7π / 2 and -π / 2 .

Given :

a positive and a negative co - terminal angle for each given angle

1 )  

= -5π / 2

To find positive and negative co - terminal angle we need to add and subtract by 2π .

= -5π / 2 + 2π

= -5π + 4π / 2

= -π/2

= -5π / 2 - 2π

= -5π - 2 * 2π / 2

= -5π - 4π / 2

= -9π / 2

or =

2 )

= 3π / 2

= 3π / 2 + 2π

= 3π + 2 * 2π / 2

= 3π + 4π / 2

= 7π / 2

= 3π / 2 - 2π

= 3π - 4π / 2

= -π / 2

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The requried equation model for the age of Jenna and her sister is given as y = x + 4.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,

A variable can be used in an expression that represents a real-world situation where one value is unknown, not stated or can change.
Let the age of the Jenna sister be x,
According to the question,
Jenna[y] is four years older than her sister,
So,
y = x + 4

Form above expression
When her sister is of 4 years,
Jenna age,

y = 4 + 4
y = 8 years

Thus, the requried equation model for the age of Jenna and her sister is given as y = x + 4.

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The domain of the function is [-4, 4) and the range of the function is [-5, 2)

The domain

As a general rule, it should be noted that the domain of a function is the set of input values or independent values the function can take.

This means that the domain is the set of x values

From the graph, we have the following intervals on the x-axis

x = -4 (closed circle)

x =4 (open circle)

This means that the domain of the function is [-4, 4)

The range

As a general rule, it should be noted that the range of a function is the set of output values or dependent values the function can produce.

This means that the range is the set of y values

From the graph, we have the following intervals on the y-axis

y = -5 (closed circle)

y = 2 (open circle)

This means that the range of the function is [-5, 2)

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Answer:

\( \sqrt{2} + 3\)

Step-by-step explanation:

SIMPLIFY the radical expression...

SO IT'S

\( \frac{4}{2 \sqrt{2} } + 3\)

Reduce the fraction with 2

Now it's

\( \frac{2}{ \sqrt{2} } + 3\)

Rationalize the denominator...

SO IT WILL BE

\( \sqrt{2} + 3\)

EASY EXPLANATION...

GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...

Sᴋ᭄Sᴀᴍɪʀᴮᴼˢˢ

The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

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Answer: Total distance travelled is 510 km

Step-by-step explanation:

it is given that an automobile travels for

2 hours at 80km/h

3 hours at 110km/h

30 min at 40km/h

to find distance=x(let)

since

distance = speed * time

so

x= 80*2 +110*3 +40*(1/2)  [since 1 hour =60 min so 30 min =1/2 hour]

x=160+330+20

x=510

hence total distance travelled is 510 km

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Answer:

1

Step-by-step explanation:

what you do on one side of the equal sign, you do to the other

Answer:

P=140cm

Step-by-step explanation:

P=2(l+w)

d=w2+l2

Solving forP

P=2w+2d2﹣w2=2·30+2·502﹣302=140cm

Hope This Kind of Helps

Answer: 140cm

P=2(l+w)  

P=2w+2d2﹣w2=2·30+2·502﹣302=140cm

The answer of the given question based on the expression is , the value of the summation when m = 3 is 137.

In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a set of values. It can be a simple combination of numbers and variables or a more complex combination involving mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can be used to represent a wide range of mathematical concepts, from simple arithmetic to complex functions and equations.

To evaluate the summation 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!), where m = 3, we substitute m = 3 and simplify:

1(1!)+2(2!) +3(3!) +4(4!) +3(3!)

= 1(1) + 2(2) + 3(6) + 4(24) + 3(6) (since n! = n(n-1)! for all positive integers n)

= 1 + 4 + 18 + 96 + 18

= 137

Therefore, the value of the summation when m = 3 is 137.

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The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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:

he graph shows one of the linear equations for a system of equations. Which equation represents the second linear equation for the

system of equations that has the solution which corresponds to a point at (12, -39)

Answer:

There is no graph where i can rely on

Step-by-step explanation:

Answer:

nope thx for the points tho

Step-by-step explanation:

According to the information, this number on an abacus would look like this: tens of a thousand = 10,000, units of a thousand = 6,000, hundreds = 500, tens = 10, and units = 6.

To illustrate this value on an abacus we must find the number of this operation as shown below:

Now we must express it in an abacus, then we must separate each number by classifying it in the type of units to which it corresponds as shown below:

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Answer:

Step-by-step explanation:

Given function

Factoring the polynomial

As we see there are 2 complex factors

Answer:

(x+1)(x-2)(x+i√2)(x-i√2)

Step-by-step explanation:

22 mph ----> 1 h 30 min = 90 min

x --------------> 25 min

answer: 6.11 mph

Answer:

Step-by-step explanation:

P = 4 a

a = √p^2 + q^2 / 2

P = 2√p^2 + q^2 = 2 x √42^2 + 40^2 = 116cm

∴ the perimeter of a rhombus when the diagonals are 42cm and 40cm is 116cm

The equivalent expression is 5 - 3x/2. Option D

Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.

these algebraic expressions are also composed of mathematical operations. These operations includes;

From the information given, we have that;

1/ 4(8 - 6x + 12)

expand the bracket, we have;

Add the like terms

1/4(20 - 6x)

now, multiply the values, we have;

20 - 6x/4

Divide by the denominator

5 - 3x/2

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The complete question:

Simply the expression:

1/ 4(8 - 6x + 12)

Answer: 7/10 of a mile

Step-by-step explanation:

As we can use the expression that Eric used to solve this question!

7/8 x 4/5 = 7/10 of a mile

The correct option is not available among the choices provided (A. 49.4, B. 39.5, C. 55.2, D. 50.45).

To find the measure of angle A in triangle ABC using the Law of Sines, we can use the formula:

sin(A)/a = sin(B)/b = sin(C)/c

Given that a = 14, b = 17, and c = 22, we can substitute these values into the formula:

sin(A)/14 = sin(B)/17 = sin(C)/22

To find angle A, we need to solve for sin(A) and then take the inverse sine (arcsin) of that value.

First, let's find sin(B) using the given information:

sin(B)/17 = sin(A)/14

sin(B) = (17 * sin(A))/14

Next, let's find sin(C):

sin(C)/22 = sin(A)/14

sin(C) = (22 * sin(A))/14

Since the sum of angles in a triangle is 180 degrees, we can calculate angle C:

angle C = 180 - angle A - angle B

Now, we can substitute the expressions for sin(B) and sin(C) into the equation:

(22 * sin(A))/14 = (17 * sin(A))/14 + sin(B)

To solve for sin(A), we can multiply both sides of the equation by 14:

22 * sin(A) = 17 * sin(A) + 14 * sin(B)

22 * sin(A) - 17 * sin(A) = 14 * sin(B)

5 * sin(A) = 14 * sin(B)

sin(A) = (14/5) * sin(B)

Finally, we can take the inverse sine (arcsin) of sin(A) to find the measure of angle A:

A = arcsin((14/5) * sin(B))

Now, since the values of angles B and C are not provided, it is not possible to directly determine the measure of angle A using the given information.

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Answer:

d=11

Step-by-step explanation:

d = √[(2 - (-9))^2 + (23 - 23)^2]

= √[(2 + 9)^2 + (0)^2]

= √[11^2 + 0^2]

= √(121 + 0)

= √121

= 11

Therefore, the distance between the points (-9, 23) and (2, 23) is 11 units.