the ratio of boys to girl at the dance was 9 to 5.how many girls were at the dance if there were 85 girls ar the dance
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Given

To find

we know that

Inserting the value of radius

If the graph of a polynomial function P(x) has x-intercepts at x = -4, x = 0, x = 5, the following must be true for P(x): D. The degree of the polynomial is greater than or equal to three.

Based on the graph of the polynomial f(x), the following is not a factor: B. (x - 1).

In Mathematics and Geometry, a polynomial graph simply refers to a type of graph that touches the x-axis at zeros, roots, solutions, x-intercepts, and factors with even multiplicities.

Generally speaking, the zero of a polynomial function simply refers to a point where it crosses or cuts the x-axis of a graph. Since the polynomial function with x-intercepts at x = -4, x = 0, and x = 5 cuts the x-axis at three (3) points. Therefore, the degree of this polynomial is either greater than or equal to three (3).

By critically observing the graph of the polynomial function shown above, we can logically deduce that its x-intercepts include the following;

x = -1 ⇒ x + 1 = 0.

x = -2 ⇒ x + 2 = 0.

x = 2 ⇒ x - 2 = 0.

x = 3 ⇒ x - 3 = 0.

Therefore, (x - 1) is not a factor.

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Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

12 1/4

Step-by-step explanation:

(7 + X) × 8 - 4 × X = 56

7 + X × 8 - 4 × X = 56

7 + 8X - 4 × X = 56

7 + 8X - 4X = 56

7 + 4X = 56

4X = 56 - 7

X = 49/4

X = 12 1/4

Answer:

C) 1,000 students

Step-by-step explanation:

Look at the bar graph and add up all the values less than 44,000.

:D

Answer:

the answer is C which one is this

According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:

A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.

Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.

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Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

Answer:

1=1

2=43

3=44

Step-by-step explanation:

the subtraction negative and the negative in the parentheses make a positive so instead of subtracting them you add them together

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Answer:

It is 21

Step-by-step explanation:

The triangle has three side x,y and √(x²+y²), the slope of x is zero, the slope of y is undefined, the slope of √(x²+y²) is tanα. The coordinate of the midpoint of x is x/2,0 and y is 0, y/2

suppose the triangle is right-angled and the sum of other two angles are also 90 degrees. we know that the side opposite to the right angle is called hypotenuse. let the other two side is denoted by x and y. Now, x is the base of triangle, and the rest of the side is y. The angle between hypotenuse and base is denoted by α . As per Pythagorean theorem, hypotenuse = √(x²+y²).

slope can be calculated by tanα or using the formula (y₂-y₁)/(x₂-x₁)

according to trigonometric ratio, tanα = opposite side/base = x/y

 tanα is the slope of hypotenuse.

the side length x is along the horizontal axis, so its y coordinate is zero and slope is also zero.

the side length y is along the vertical axis whose x coordinate is zero that means slope is undefined.

As per the formula (y₂-y₁)/(x₂-x₁) used to calculate slope, whenever x coordinate is zero the result is written as undefined.

hence, the triangle is right-angled, and the biggest side has a slope only.

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The probability of not being dealt this type of hand is: 99.99%.

Using this formula to find the probability of not being dealt this type of hand.

P(not being dealt this type of hand) = Standard card deck -  Number of different ways they can occur / Standard card deck

Let plug in the formula

P(not being dealt this type of hand) =  20,358,520 - 1024 /20,358,520

P(not being dealt this type of hand) = 20,357,496 /20,358,520

P(not being dealt this type of hand) = 0.9999× 100

P(not being dealt this type of hand) = 99.99%

Therefore the probability is 99.99%.

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Answer\(\implies\) 0.666666667

Hope it helps you...

Answer:

73

Step-by-step explanation:

im pretty sure

Step-by-step explanation:

everything can be found in the picture

Answer:

B) 49,062.5 ft²

Step-by-step explanation:

The area of a circle can be found using the following equation:

A(c) = πr²

Note:

A(c) = Area of circle

π = pi = 3.14

r = radius

The diameter of the circle is given to you. To find the radius, simply divide the diameter by 2:

Diameter/2 = Radius

Radius = 250/2 = 125

Next, plug in 125 into the Area formula for circle for r:

A(c) = πr²

A(c) = π(125)²

A(c) = π * 15625

A(c) = 3.14 * 15625

A(c) ≈ 49062.5

B) 49,062.5 ft² is your answer.

~

The probability that a randomly selected professor is female and feels "About Right" is 0.40

The distribution table :

____About right _ Oweight _ Uweight __ Total

Female _ 80 _____ 39 ______ 3 _______ 122

Male ___ 52 _____ 10 ______ 16 _______ 88

Total ___ 132 ____ 49 ______ 19 _______ 200

Oweight = Overweight

Uweight = Underweight

Recall :

Probability = required outcome / Total possible outcomes

Probability that a selected professor is female and feels 'About right' :

Required outcome = number of female professors who feels 'About right' = 80

Total number of professors = 200

Hence,

P(Female and 'About right') = 80/200 = 0.40

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Answer:

the answer is b, c, d, a, respectively

        Hence, The other Number is:   B   =  630

If the HCF of two numbers is 36 and their LCM is 1260. If one number is 72 find the other one:

        2,   2,  3,   3,  7

        2,  2,  2,  3,  3

        HCF  *   LCM   =   a  *  b

        HCF   =    2  *  2  *  3  *  3

                   =  36

        36  *   1260   =    72  *  b

        36  *  1260    =    72b

        45360           =    72b

        1260            =   2  *  b

        45360 / 72  =   72b/72

                        b   =   630

        B    =    630

        Hence, The other Number is:   B   =  630

I hope this helps you!

Answer:

Free Semigroup: Consider a non empty set A = {a 1,a 2,.....a n }. Now, A* is the set of all finite sequences of elements of A, i.e., A* consist of all words that can be formed from the alphabet of A. If α,β,and,γ are any elements of A*, then α, (β. γ)= (α.β).γ.

Hope this helps. :)

Answer:

1. 0.69

2. 1.16

Step-by-step explanation:

1.

Decrease of 31% = 100% - 31% = 69%

Convert 69% to a decimal = 69/100 = 0.69

2.

Increase of 16% = 100% + 16% = 116%

Convert 116% to a decimal = 116/100 = 1.16

Answer:   Divide each term in 3 x = 18 by 3 and simplify. x = 6

Step-by-step explanation:

Answer:

y = 15 , x = 6

Step-by-step explanation:

you can easily find y from first equation

Move y to the other side of the equation and reverse its sign

so (-11) changes to (+11) and now we have this equation

y = 15

now you must replace 15 instead of y in second equation ,then we have this equation

15 = 2x + 3

now we have to find x

move (+3) to other side of equation and reverse its sign

(+3) changes to (-3)

we have this equation now

15 - 3 = 2x

12 = 2x

x = 12 ÷ 2 = 6

The reflection of the triangle gives the co-ordinates A'(5, 2) B'(0, -3) C'(-4,-1) .

In mathematics, a reflection is a mapping from a Euclidean space to itself that is an isometry with a set of fixed points known as the hyperplane; this set is also known as plane of reflection or the axis. The mirror image of a figure in the axis or plane of reflection is the image produced by a reflection.

When an object is reflected across the x -axis , the image will be at same distance from the x axis as the object or point is on the cartesian plane.

So if a point P has the co-ordinates (x , y) .  When reflected across the x-axis the the reflection has the co-ordinates P'(x , -y ) .

The co-ordinates of the 3 points are A(5,-2) B(0, 3) C(-4,1).

When reflected across the x-axis the co-ordinates become :

A(5,-2) →A'(5,2)

B(0, 3)→B'(0,-3)

C(-4,1)→C'(-4,-1)

Hence the second option is correct, the reflected image of the triangle has the coordinates  A'(5, 2) B'(0, -3) C'(-4,-1) .

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the counting number just before C5F16 is 3,072.

Answer: 0

Step-by-step explanation:

Answer:

500 miles

Step-by-step explanation:

20 + .12m = 80

.12m = 60

m = 60/.12

m = 500

Answer:

175 guests

Step-by-step explanation:

19 + 121 = 4/5x

140= 4/5x (multiply by the reciprocal of 4/5 to get x by itself: 5/4)

140 x 5/4 = x

x= 175