A natural number is abundant if it is less than the sum of its proper divisors. What is the smallest abundant number

Answer:

0.83

Step-by-step explanation:

It’s right use the formula they give you

The probability of a student taking the bus given that the student is sophomore is 0.83

Given that:

P(Walk to school | Sophomore) = 3 /(2 + 25 + 3) = 0.1

To cal culate the probability of a student taking the bus given that the student is sophomore, we make use of:

P(Take the bus | Sophomore ) = 25/(2 + 25 + 3)

Rewrite properly as:

[tex]Pr= \frac{25}{2 + 25 + 3}[/tex]

So, we have:

[tex]Pr= \frac{25}{30}[/tex]

Divide 25 by 30

[tex]Pr= 0.83[/tex]

Hence, the probability of a student taking the bus given that the student is sophomore is 0.83

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Answer:

(0, -8)

Step-by-step explanation:

Because the question asks for the y-axis intercept, the x coordinate will automatically be 0. Then we just look at where parabola intersects the y axis (-8), and that's the y coordinate. Finally, we put those two numbers together:

(0, -8)

Answer:

(0, -8)

Step-by-step explanation:

That is where the y-intercept happens.

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A one million sided shape called as Megagon.

We know that a polygon is noting but a closed two-dimensional figure which is enclosed by line segments.

These line segments are known as sides.

A polygon has at least three straight sides and angles.

Polygons are classified mainly into four categories. Regular polygon, Irregular polygon, Convex polygon and Concave polygon

We know that a polygon with n sides is called n-gon.

For n = 1000000, i.e., a polygon with one million sides is called as Megagon.

A number of edges and vertices = 1000000

And the internal angle of megagon is about 179.99 degrees.

Therefore, a shape with  1 million sides is known as a Megagon

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Answer:

B

Step-by-step explanation:

Answer:

Since 3⁵= 243 you can just multiply by 3 to find 3⁶

Answer:

You can multiply 243 by 3 to get the answer to 3^6

Step-by-step explanation:

Answer:

A. 524m^3

Step-by-step explanation:

Formula for volume of sphere:

[tex]V = \frac{4}{3} \pi r^3[/tex]

If we use 3.14 for pi, we get:

V = 4/3(3.14)(5)^3

V = 523.33

Answer:

a. 49/2

b. -2/9

If I make any mistakes, I'm sorry.

Answer:

2/100=0.02

0.02*15=33.3

111+33.3

144.3

Answer:

The temperature at 9 am = -14.7°F

Between 9am and 12 pm = -14.7 + 17.8 = 3.1°F

Between 12pm and 3 pm = 3.1+5.1 = 8.2°

Between 3pm and 6 pm = 8.2-14.5 = -6.3°F

Definition of Ray:

'A part of a line that has one endpoint and extends indefinitely in one direction'.

The correct statement is A.

A ray is a part of the line having one fixed point and the other point does not have an end. It means that a ray has one terminating end and the other end is extending infinitely.

Given definitions of ray:

A. a part of a line that has one endpoint and extends indefinitely in one direction.

B. the set of all points in a plane that are a given distance away from a given point.

C. lines that lie in the same plane and do not intersect.

D. a part of a line that has two endpoints.

Only statement A satisfies the definition of ray.

Hence, the definition of ray is described by statement A.

A part of a line that has one endpoint and extends indefinitely in one direction.

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The required value of x is 17 for the given equation 11 = x - 6.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

11 = x - 6

We can determine the value of x by adding 6 to both sides of the equation.

As per the question, we have

⇒ 11 = x - 6

⇒ 11 + 6 = x - 6 + 6

⇒ x = 11 + 6

Apply the addition operation, and we get

⇒ x = 17

Therefore, the required value of x is 17.

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The inequality that represents negative one third is greater than or equal to the product of negative two fifths and a number is: B. negative one third is greater than or equal to negative two fifths y where y is greater than or equal to five sixths.

In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:

Note: Let the variable y represent the unknown number.

Next, we would translate the word problem "negative one third is greater than or equal to the product of negative two fifths and a number" into an algebraic inequality as follows;

-1/3 ≥ -2/5 × y

-1/3 ≥ -2y/5

Multiplying both sides of the algebraic inequality by -5/2, we have:

-1/3 × -5/2 ≥ -2y/5 × -5/2

5/6 ≤ y

y ≥ 5/6.

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The measures of three angles are 40.5°, 43.5° and 95.8°.

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

Given that, an interior designer plans to use triangular tiles that are 8 cm×9 cm×13 cm for a backsplash.

Using cosine rule, we get

9²= 8²+ 13²- 2(8)(13) cos θ (angle opposite 9 cm side.)

81=64+169-208 cos θ

81-233=-208 cos θ

-208 cos θ=-152

cos θ=-152/(-208)

cos θ=0.7307

θ=43.7°

Using sine rule,

The formula for sine rule is sinA/a=sinB/b=sinC/c

sinA/8 =sin43°/9=sinC/13

sinA/8 =0.7307/9

sinA/8=0.0811

sinA=0.6495

A=40.5°

So, ∠A+∠B+∠C=180°

40.5°+43.7°+∠C=180°

∠C=95.8°

Therefore, the measures of three angles are 40.5°, 43.5° and 95.8°.

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Answer:

85.71% probability

Step-by-step explanation:

30 of 35 of the students are in abc range so take 35/100% or 0.35 and go 30/0.35 and you get 85.71%

Step-by-step explanation:

The axis of symmetry is the vertical line that goes through the vertex, dividing the parabola into two equal parts. If h is the x-coordinate of the vertex, then the equation for the axis of symmetry is x=h

Answer:

110.25π sq cm

Step-by-step explanation:

circumference 2πr= 21π cm

so r = 21/2= 10.5 cm

area of circle = πr^2

=π (10.5)^2

=110.25 sq cm

Answer:

No Solution

Step-by-step explanation:

-3x+6=-3x-5

+5 +5

-3x+11=-3x

+3 +3

11=0

No Solution

yes, (-2,4) is the solution of the system of equation 4x² - 4y = 0.

To check whether the given points are the solution of the given system of equation 4x² - 4y = 0. We have to put the values of x = -2 and y = 4 in the given equation. If we get the result equals zero then (-2, 4) is the solution of 4x² - 4y = 0 and if the result is a non-zero number then (-2, 4) is not the solution of 4x² - 4y = 0.

⇒4x² - 4y = 0

⇒4(-2)² - 4 × 4 = 0

⇒4 × 4 - 4 × 4 = 0

⇒0 = 0

Here we get the result equal to zero, hence (-2,4) is the solution of the system of equation 4x² - 4y = 0.

--This question is incomplete, the complete question is

''Is (-2,4) a solution of the system of equation 4x² - 4y = 0?''--

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Answer:

27 square units

Step-by-step explanation:

Area of triangle = 1/2(b)(h)

Base = 6

Height = 9

1/2(6)(9)

1/2(54)

Area = 27 units

Answer:

24 cats

Step-by-step explanation:

The ratio of cats to dogs is 6:9. There are 36 dogs in the shelter. Let's make the number of cats x.

6:9=x:36

You multiply 4 with 9 to get 36, so you do the same for 6.

6 x 4 = 24

24 cats in the shelter

In positive exponents, the simplified form of the above polynomial is s⁷/t¹¹.

A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Here,

=4s⁵*t⁻⁷/-2s⁻²*-2t⁴

=s⁷/t¹¹

The simplified form of given polynomial is s⁷/t¹¹ in positive exponents.

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The options that shows expressions which are functions in the ranges they are defined are;

Option A: f(x) = 2x + 5

Option B:  f(x) = x² + 1

Real numbers are defined as the combination of rational and irrational numbers, in the number system. This means that, all the arithmetic operations can be performed on real numbers and they can be represented in the number line.

Now, integers are defined as whole numbers that can be positive, negative or zero.

a) We are told that the input of real numbers must yield only real numbers. Yes this is true because any real number we put in for x in f(x) = 2x + 5 will yield an output that is also a real number.

b) We are told that the input of real numbers must yield only real numbers. Yes this is true because any real number we put in for x in f(x) = x² + 1 will yield an output that is also a real number.

c) We are told that the input of real numbers must yield only real numbers. No this is not true because if we put -1 which is a real number for x in the denominator, we will get an undefined function.

d) We are told that the input of integers must yield only integers. No this is not true because if we put 1 for x which is an integer, we will get a fraction which is not an integer.

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The required phrase to translate the expression x + 7 is, A number increases by 7 or an Addition of number and 7.

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

Here,
Given expression x + 7,
The expression can be translated as a number increase by 7 or the Addition of the number and 7.

Thus. the required phrase to translate the expression x + 7 is, A number increases by 7 or an Addition of number and 7.

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Answer:

she only needs to work ten hours

Explanation: if you subtract 45 from 115 you well end up with 70 a and if you work for ten hours 7 ×10=70 so you would have enough.

Answer:

-25, -19, -15, -4, 5, 7, 22

Step-by-step explanation:

-25, -19, -15, -4, 5, 7, 22 is the order from least to greatest

The bigger the negative number, the smaller it is; that is why the order is

-25, -19, -15, -4, 5, 7, 22

Answer:

F and C

Step-by-step explanation:

CUZ AAS means angle angle side

Answer:

see explanation

Step-by-step explanation:

for the triangles to be congruent by the angle- side- angle (ASA postulate )

if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle ( included side is the side between the vertices of the two angles ) , then the triangles are congruent.

given

∠ B ≡ ∠ D and AB ≡ PD

then the included sides are AB and PD

the other 2 angles for congruency are ∠ A ≡ ∠ P

-----------------------------------------------------

By the AAS postulate

If two angles and a non included side of one triangle are congruent to the corresponding parts of the other triangle, then the triangles are congruent

for AAS then ∠ C ≡ ∠ F

When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

given

2500 guests are present when four-wheelers are available.

two wheelers, the number of guests is 1500,

making the total 2500 + 1500 = 4000.

70 percent of families will own four-wheelers, or 3000/4000/100.

30% of families will own two-wheelers, which equals 4000/100 * 30%, or 1200.

When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.

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