What is the area of this circle use 3.14
81
243.06
254.34
300

Answer:

1) Given

2) if lines are parallel, then corresponding angles are equal

3) Substitution

4) if altenate interior angles are equal, then the lines are parallel

Answer:

352 ft is 3.34% of mi ;

2 mi is 3000% of 352 ft

Step-by-step explanation:

To calculate : 352 ft is ___% of 2 mi and 2 mi is ___% of 352 ft.

We can calculate first:

352 is x% of 2 mi.

Solve for x;

Use conversion:

1 mi = 5280 ft

2 mi = 10560 ft

x% of 10560 ft means [tex]\frac{x}{100} \times 10560 = 105.60 x[/tex]

then, our equation become;

352 = 105.6 x

Divide both sides by 105.6 we get;

x = 3.333333...

or

x ≈3.34

Similarly, for

2 mi is y% of 352 ft

Solve for y;

2 mi = 10560 ft

y% of 352 = [tex]\frac{y}{100} \times 352 = 3.52y[/tex]

then;

10560 = 3.52 y

Divide both sides by 3.52 we get;

[tex]y = \frac{10560}{3.52}[/tex]

y = 3000

Therefore; 352 ft is 3.34% of mi ; 2 mi is 3000% of 352 ft

x            40

------ = --------

955    100

Cross multiply

955x40=38200

38200÷100=382

u get 382

955 -382= 573

$573

So here are the rules with change by percentage (m = percentage in decimal form, n = original, and r = new):

Since this is a price reduction, we will be following the second rule. In this case:

[tex]40\%=0.4\\\\(1-0.4)*955=r\\0.6*955=r\\573=r[/tex]

In short, the reduced price of the computer is $573.

Answer:

Cauchy problem

Step-by-step explanation:

If you are talking about 'initial value problem', it is when talking about differential equations, an initial value problem is called a Cauchy problem by some authors as well. This is an ordinary differential equation together with a specified value which is called the initial condition. I really hope this helps!

The initial value is also known as the y intercept

The initial value, also known as the y-intercept or constant term, is a fundamental concept in mathematics, particularly in linear equations or functions. It represents the starting point or baseline on a graph, indicating the value of  x is zero.

The y-intercept is where a line intersects the y-axis and serves as a reference for the function's behavior, influencing its direction and movement on the coordinate plane.

Hence we can say that The initial value is also known as the y intercept

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Answer:

1 in 65 chances.

Step-by-step explanation:

Answer:

Area = 18

Step-by-step explanation:

We know that a square has side lengths of s

We can use the Pythagorean theorem to find s

a^2 + b^2 = c^2

We know that the hypotenuse or c = the length of the diagonal or 6

Substituting in what we know

s^2 + s^2 = 6^2

2s^2 = 36

Divide each side by 2

2s^2/2 = 36/2

s^2 = 18

Take the square root of each side

sqrt(s^2) = sqrt(18)

We only have to take the positive square root since it is a length

s = sqrt(9) sqrt(2)

s= 3sqrt(2)

The side length of the square is 3sqrt(2)

To find the area, we multiply the side  by the side or s^2

s^2 =  (3sqrt(2))^2

From above

s^2 = 18

Step-by-step explanation:

-7(k-8)+2k Use distributive property.

-7k+56+2k Combine like terms.

-5k+56

Mother knows best :)

Answer:

1/4

Step-by-step explanation:

The probability of getting a heads is 1/2

The probability of getting an odd number

1,3,5

-----------   =   3/6  = 1/2

1,2,3,4,5,6  

Since they are independent events, we multiply the probabilities

1/2 * 1/2 = 1/4

Answer:

Everything should simplify down to -9a-3 (your answer)

Step-by-step explanation:

Distributive property is basically multiplying the outside number into the inside parenthesis ().  Basically #(a)--->#a        or   #(a+b)---> #a+#b

Since you're not ask to solve for anything but simplify, just multiply 3 to -3a and -1.....

so 3*-3a is -9a and 3*-1 is -3      and you have 3(-3a-1)= -9a-3

Final answer:

The distributive property is a mathematical property that allows us to distribute multiplication over addition or subtraction. It helps simplify expressions and perform calculations more efficiently in algebra and arithmetic.

Explanation:

The distributive property is a mathematical property that allows us to distribute multiplication over addition or subtraction. It states that for any numbers a, b, and c, the expression a * (b + c) is equal to a * b + a * c. This property helps us simplify expressions and perform calculations more efficiently.

For example, if we have the expression 3 * (2 + x), we can use the distributive property to simplify it to 3 * 2 + 3 * x, which becomes 6 + 3x. This allows us to break down the calculations into smaller steps and avoid errors.

The distributive property is one of the fundamental properties of multiplication and is widely used in algebra and arithmetic.

Answer:

1) [tex]\sqrt{-64}[/tex] is not a real number.

2) [tex]-\sqrt{25} =-5[/tex]

Step-by-step explanation:

1) The square root of a number is defined for real numbers if and only if the number under the square root sign is greater than or equal to zero.

This implies that [tex]\sqrt{-64}[/tex] is not a real number because [tex]-64\:<\:0[/tex]

2) [tex]-\sqrt{25} =-\sqrt{5^2} =-5[/tex].

The number under the square root sign is [tex]25[/tex], which is greater than zero. Note that the negative sign is not inside the square root sign, it is outside it.

The value √-64 is not a real number, and -√25 is a real number.

√-64 and -√25 involve taking the square root of negative numbers, which results in complex numbers because real numbers do not have square roots of negative values.

Let's evaluate both:

√-64:

The square root of -64 is denoted as √(-64). In the realm of complex numbers, it's represented as 8i, where 'i' stands for the imaginary unit. So, √-64 = 8i.

-√25:

The square root of 25 is 5, and when you add a negative sign in front of it, you get -5. So, -√25 = -5.

In summary, √-64 is not a real number, and it is equal to 8i in the realm of complex numbers, while -√25 is a real number and equal to -5.

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Answer: 24% of all employees attend night school.

Step-by-step explanation: If 40% of all employees are men and 30% of the men attend night school, we can multiply 0.40 by 0.30 to get the percentage of men who attend night school: 12% or 0.12. To find the number of women who attend night school, multiply 0.20 by 0.60(assuming percentage of men and women add up to 100%) to get 12%. Add 12% and 12% to get 24% of all employees attend night school.

Answer:

The answer my frind is D

Step-by-step explanation:

When you divide,

you must

blablabla

The first step in solving the equation 4x - 0.3 = 1.9 is to D) add 0.3 to both sides of equation, isolating the term with the variable 'x'.

The question is asking how to begin solving the equation 4x - 0.3 = 1.9 for the variable x.

This balances the equation and moves us closer to discovering what x is, so the correct option would be 'D. Add 0.3 to both sides of the equation'.

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5

180°-(90°+68°)=180°-158°=22°

6

180°-22°=158°

Answer:

22° and 158°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles in the triangle from 180

∠5 = 180° - (90 + 68)° = 180° - 158° = 22°

∠5 and ∠ 6 form a straight angle, thus the angles are supplementary

∠6 = 180° - ∠5 = 180° - 22° = 158°

Answer:

D) x = 14

Step-by-step explanation:

x/2 = 7

We want to isolate x

We can multiply by 2 on each side.

2 * x/2 = 7*2

x = 14

Answer:

14

Step-by-step explanation:

Well if you simplify or divide how ever you want to say it, it will be simplified to 7.

Answer:

Income = 637

Step-by-step explanation:

Income = weekly salary + commission

commission = 6.5% * sales

commission = .065* 4800

                     = 312

Income = weekly salary + commission

Income = 325+312

Income = 637

Answer:

1

Step-by-step explanation:

evaluate the parenthesis before raising to power 66

3² = 9 and 2³ = 8, hence

(3² - 2³)= (9 - 8) = 1

[tex](3^2-2^3)^{66}[/tex] = [tex]1^{66}[/tex] = 1

Based on the information given, it can be concluded that 35% of the circle is shaded, which is equivalent to the fraction 7/20.

To understand what area of the circle is shaded, let's first calculate how much is not shaded:

First area: 1/4 = 0.25

Second area: 2/5 = 0.4

Total of the area that is not shaded: 0.65

The total area shaded: 1 -0.65 = 0.35

This means that the total shaded is 0.35. Now, let's convert 0.35 to a fraction:

[tex]\frac{35}{100} = \frac{7}{20}[/tex]

Based on this, the shaded area is 7/20

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The distance between the points (-3,-4) and (5,4) is approximately 11.31 units, and the distance between the points (-3,5) and (0,1) is exactly 5 units.

To find the distance between two points in a plane, you can use the distance formula derived from the Pythagorean Theorem, which is

d² = (x2 - x1)² + (y2 - y1)²

Let's calculate the distances for the given pairs of points.

Distance between (-3,-4) and (5,4)

d² = (5 - (-3))² + (4 - (-4))²

d² = (8)² + (8)²

d = 64 + 64 = 128

d = √128

≈ 11.31

Distance between (-3,5) and (0,1)

d² = (0 - (-3))² + (1 - 5)²

d² = (3)² + (-4)²

d = 9 + 16 = 25

d = √25

d = 5

Answer:

13/30

Step-by-step explanation:

5/6 -2/5

We need to get a common denominator of 30

5/6 *5/5 = 25/30

2/5 * 6/6 = 12/30

5/6 - 2/5

25/30 - 12/30

13/30

Answer:

13/30

Step-by-step explanation:

First find their least common multiple. ( you can list it out)

6= 6,12,18,24,30

5=5,10,15,20,25,30

LCM= 30

5/6= 25/30

2/5=12/30

25/30 - 12/30= 13/30

Answer:

Long Beach, California, tax = 10.25%

He is buying one large tree, so subtract the cost of a large tree from the total:

1400 - 200 = 1200

He can spend 1200 on small trees.

Divide 1200 by the cost of a small tree to find how many small trees can be bought:

1200 / 150 = 8

He can buy 8 small trees.

Total number of trees = 8 small + 1 large = 9 total

Answer:

C: 0.25  

Step-by-step explanation:

We will use conditional probability formula to solve our given problem.

[tex]P(B|A)=\frac{P(\text{A and B})}{P(A)}[/tex], where,

[tex]P(B|A)[/tex]= Probability of event B, given probability of event A.

[tex]P(\text{A and B})[/tex]= Probability of event A and event B.

[tex]P(A)[/tex]= Probability of event A.

Let us substitute our given values in conditional probability formula.

[tex]P(B|A)[/tex]= Probability that a student plays a sport given that student is a senior.

[tex]P(\text{A and B})[/tex]=The probability that a student is a senior and plays a sport = 0.05.

[tex]P(A)[/tex]= Probability that a student is a senior = 0.20.

[tex]P(B|A)=\frac{0.05}{0.20}[/tex]

[tex]P(B|A)=\frac{1}{4}[/tex]

[tex]P(B|A)=0.25[/tex]

Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option C is the correct choice.

Answer:

probability that a randomly selected student plays a sport, given that the student is a senior is 0.25

Step-by-step explanation:

Let, A be an event that a student is senior.

Probability can be given as , p(A) = 0.20

B be the event where student plays a sport

Probability can be given as , p(B) = 0.15

We have given that the probability of a student is a senior and plays a sport is 0.05.

i.e p(A∩B) =  0.05

We need to find the probability that a randomly selected student plays a sport, given that the student is a senior i.e p(B/A) .

Use the formula: p(B/A) = p(A∩B) / p(A)

Plug corresponding values to get p(B/A).

p(B/A) = p(A∩B) / p(A)  = 0.05 /0.20

p(B/A) = 0.25 , this is the answer

Answer:

10 miles

Step-by-step explanation:

Thinking process:

The distance that Maria rides: 4 miles

Total time by Maria = 2.5 hrs

The friend   = 2hrs

Answer:

For 46•.029

First you would show how you multiply 9 times six then 9 times 4 then you put it on the bottom

After that you would do 2 times six then 2 four then you put it one space down from the other aanswer and add them

Sorry ignore this if it’s complicated

Step-by-step explanation:

Answer: 81 in. (6.75 ft.) by 60 in. (5 ft.)

First, convert 27 ft. and 20 ft. to inches to make it easier to work with. This would convert like this:

27 ft. x 12 in. = 324 in.

20 ft. x 12 in. = 240 in.

This also means that the scale converts to 1/4 in. = 12 in.

Now, take your 324 in. and 240 in. and apply them to the scale.

For every 12 in. (1 ft.) in the non-scale room dimensions, there will be one 1/4 in. on the scale. That would apply like this:

324 in. (27 ft.) x

1/4 in. =81 in. [or 6.75 ft.]

240 in. (20 ft.) x

1/4 in. = 60 in. [or 5 ft.]

Step-by-step explanation: If incorrect sorry, Hope this helps!!

Answer:

x is all real numbers

Step-by-step explanation:

6 + 5|2x -3| ≥ 4

The first step is to subtract 6 from each side

6 -6+ 5|2x -3| ≥ 4-6

5|2x -3| ≥ -2

Now divide each side by 5

5/5|2x -3| ≥ -2/5

|2x -3| ≥ -2/5

Absolute values are always positive.  Our absolute value is greater than a negative number.  It is always true.  X can be any number and our absolute value will still be greater than -2/5.

x is all real numbers

Answer:

ITS 1/2

Step-by-step explanation:

Marble's mother requires 1/2 cup of flour .

Proportion is the number which is considered in comparative relation to a whole.

Fraction is  a number expressed as a quotient, in which a numerator is divided by a denominator

According to the problem,

∴ Number of cup of flour that Marble's mother require is 2/3 part of 3/4

                       = (2/3 x 3/4) = 1/2

∴ Marble's mother requires 1/2 cup of flour .

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