The options are
A. (6, 3)
B. (1, -4)
C. (2, 1)
D. (0, 3)

The equation of the parabola that models the given situation is y = [tex]\frac{-1}{6}(x-3)^{2}[/tex] + 1.5.

A parabola is a roughly U-shaped mirror-symmetrical plane curve. It corresponds to a number of seemingly unrelated mathematical descriptions that all define the same curves.

To represent a parabola algebraically in the coordinate plane, the standard equation of a parabola is used. The general equation of the parabola is given by  y = [tex]a(x-h)^{2}[/tex]+ k or x = [tex]a(y-k)^2[/tex] +h, where (h,k) denotes the vertex. A regular parabola's standard equation is [tex]y^2[/tex] = 4ax.

Now, the equation of parabola for the given situation is calculated as:

y = [tex]a(x-3)^2[/tex]+ 1.5

Now, put the value of x = 0 and y = 0.

0 = [tex]a(0-3)^2[/tex]+ 1.5

0 = 9a + 1.5

-9a = 1.5

a = - 1.5/9

a = -1/6

Now, put the value of a in equation y = [tex]a(x-3)^2[/tex]+ 1.5 to obtain:

y = [tex]\frac{-1}{6}(x-3)^{2}[/tex] + 1.5.

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The value of angle m< EBF  is determined as 56⁰.

The sum of angles in a straight line is 180 degrees. The value of angle EBF can be determine using the concept of sum of angles in a straight line as shown below.

m< EBC  + m< ABE = 180

3y + 10 + 2y - 20 = 180

5y - 10 = 180

5y = 180 + 10

5y = 190

y = 190/5

y = 38

The value of m< EBF is calculated as follows;

Assuming equal division, m< EBF = m< ABE

m< EBF = 2y - 20

m< EBF = 2(38) - 20

m< EBF = 56⁰

Thus, the value of angle m< EBF  is determined as 56⁰.

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The graph of the inequality y > x + 4 matches the description in Option(c)

a shaded region above a dashed boundary line.

Given function: y > x + 4

Let's plot the graph of the given function and then match it with the options to see which is the solution.

So we will Plot y = x + 4 (as a dashed line because y > )

the coordinates will be,

x = 0 , y = 4

x = -1 , y = 3

x = -2 , y = 2

x =  1 , y = 5

x = 2 , y = 6

The purple shaded region satisfies the inequality y > x + 4.

Hence the graph description is a shaded region above a dashed boundary line.

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The complete question is: "Which description matches the graph of the inequality y > x + 4?

a) a shaded region above a solid boundary line

b) a shaded region below a solid boundary line

c) a shaded region above a dashed boundary line

d) a shaded region below a dashed boundary line."

The expression is x+2-2y

It is given to us that logp5=x and logp7=y

Now we are required to find logp(5p^2)/49 in terms of x and y

we know that in logarithmic formulas

loga^b=b loga

logab = log a+log b

log a/b= log a- log b

Now using these formulas to find the solution,

logp 5p^2/49

= logp5+ logp p^2 -log 49

=logp5+2 logpp-2log7

we know that logpp=1,hence

= logp5+2 -2 logp7

=x+2-2y

Hence the expression is x+2-2y

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Cheyenne can buy a maximum of 13 bags of Takis.

We have,

To find the maximum number of bags of Takis Cheyenne can buy with $20, we need to divide the total amount of money she has by the cost per bag of Takis.

Cost per bag of Takis = $1.50

Total money Cheyenne has = $20

Maximum number of bags of Takis = Total money / Cost per bag

Maximum number of bags of Takis = $20 / $1.50

Maximum number of bags of Takis = 13.33

Since Cheyenne cannot buy a fraction of a bag, the maximum number of bags of Takis she can buy is 13.

Thus,

Cheyenne can buy a maximum of 13 bags of Takis.

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Answer:

a: 0.5 + 0.3 = 0.8

b: 2.7 + 28.2 = 30.9

c: 3.1 + 2.4 + 9.9 = 15.4

d: 15.2 + 1.4 + 0.8 = 17.4

e: 39.2 + 2.5 + 0.8 = 42.5

Step-by-step explanation:

I did the assignment and I got it right

Edna has visited 44 countries.

For given question,

Edna has spent her whole life traveling. she has been to 4 different continents and to 11 countries on each continent.

Here each continent  has 11 countries.

She visited 4 different continents.

So, the total number of countries she has visited would be given by an expression,

11 × 4

We solve above expression to  determine how many countries Edna has visited.

11 × 4 = 44

Therefore, approximately 44 countries Edna has visited.

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Answer:

In slope-intercept form:

[tex]y = - \frac{2}{3} x + 4[/tex]

Answer: 25 ft per min.

Step-by-step explanation:

Time= 100 min.

Distance= 2500 ft.

Speed= 2500/100 = 25 ft per min.

Answer:

10.97 mm

Step-by-step explanation:

Hello!

First, let's construct an altitude, as shown in the picture below. An altitude is a height from one point to another side, forming a 90° angle at that intersection.

The length of the altitude is the same as the missing length, they are both parallel.

The length from the altitude to the slant line would be 6, as found by subtracting 8 from 14.

If you look closely, we can see a right triangle, and 12.5 mm is the hypotenuse. We know the measure for another side, and we can solve for the altitude using the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex], a and b are legs, and c is the hypotenuse.

In this case, 6 and the altitude are legs.

The altitude is around 10.97, so the missing length will also be 10.97 mm.

Answer:14 zebras 22 orangutans

Step-by-step explanation: 14x4=56 22x2=44 56+44=100

Total number of students in a class is 50.

A class has 40% of women.

Total Number of women in a class = 20                              equation 1

Let total number of students in a class = x

According to the question a class has 40% of women. Mathematically we can write it as,

Total Number of women in a class = 40 % of x

Total Number of women in a class = ( (40x) / 100 )               equation 2

On equating equation 1 and equation 2, we get

20 = ( (40x) / 100 )

⇒ 40x = 2000

⇒ x = 50

Total number of students in a class is 50.

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Answer:

0.69

Step-by-step explanation:

The 8 is in the hundredths place.

0.687 becomes 0.680, but since the leftmost digit dropped is a 7, the 8 goes up 1 to 9.

Answer: 0.69

Answer:

0.69

Step-by-step explanation:

Answer:

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage.A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.

Step-by-step explanation:

The  unit rate in minutes per meter is 28.8 minutes per meter when  David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes

The given Depth of the aquarium  = 3/8 meters

Time taken to fill the aquarium  = 3 3/5 minutes

To find the  the unit rate in minutes per meter, we need to divide the time taken to fill the aquarium by the depth of the aquarium

So, Unit rate in minutes per meter = 3 3/5minutes ÷ 3/8 meters

                                                            = 18/5 ÷ 3/8

                                                              = 18/5 ×8/3

                                                             = 144/15

                                                             = 28.8 minutes per meter

Hence, the unit rate in minutes per meter is 28.8 minutes per meter when  David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes

The correct question is David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes. What is the unit rate in minutes per meter?

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4ft = 48in or 4 feet is equivalent to 48 inches.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between units of length: feet and inches.

From there, we can say that we are asked how many inches are there in 4 feet

Converting feet to inches, we must use the conversion

1 foot = 12 inches

4ft = 4 (12 inches)

4ft = 48in

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Answer:

$227 = washing machine cost

$391 = dryer cost

Step-by-step explanation:

$618 divided by 2 = 309

309 - 82 = 227 = cost of washing machine

618 - 227 = 391 = cost of dryer

You can double-check by,

391 + 227

= 618

$227 = washing machine cost

$391 = dryer cost

15m/s * 1km/1000m*60s/1 min*60 min/1hr=

You do the calculation.

Here are the conversions used in the conversion.

1km = 1000 m, 60 seconds = 1 minute, 60 minutes = 1 hour.

When you set up the problem the 15 meters is in the numerator and 1 second is in the denominator. To convert the 15 meters to km the next conversion factor needs to have 1km in the numerator and 1000 meters in the denominator. Now the 15 m will be divided by 1000 m which cancels the meters and leaves km.

The seconds in 15 m/s is in the denominator so to convert seconds to hours multiply by 60 seconds placing it in the numerator over 1 minutes. Use the same idea to set up the conversion from minutes to hours.

Practice this conversion. It is a fundamental conversion that any middle school student should know how to do.

The quotient of an expression of signs decimal numbers is positive:

= 0.16.

The correct option is B.

There is one key notion when dividing any negative integer by another: the negative signs cancel out. This is unique to this situation. A positive number divided by such a negative number equals a negative number. As a result, you can't divide any two numbers as well as expect a positive result. In general, negative and positive numbers behave differently.

For

a. 2.5 / -9.56

dividing the numbers we get:

= -0.26

For

b. -1.7 / -10.06

dividing the numbers we get:

= 0.16

For

c. -0.3 / 9.44

dividing the numbers we get:

= -0.03

For

d. -9.34 / 0.55

dividing the numbers we get:

= -16.98

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I understand that the question you are looking for is:

Which expression of signed decimal numbers has a positive quotient?

a. 2.5 / -9.56

b. -1.7 / -10.06

c. -0.3 / 9.44

d. -9.34 / 0.55

Answer: 4,800,000 mg

32,000 dg

Step-by-step explanation:

1 kg=1000 g

1 g=1000 mg

1 kg * 1000 g/1 kg * 1000 mg/1 g=

1*1000*1000=1,000,000 mg

1 kg=1,000,000 mg

4.8 kg=

4.8*1000000=4,800,000 mg

1 g=10 dg

3.2 kg =

3.2 kg * 1000 g/1 kg * 10 dg/1 g=

3.2*1000*10=

3.2*10,000=32,000 dg

Answer:

FALSE

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

0.75 has a finite number of digits and can be expressed in a fraction of integers.

0.75=75/100

75/100=3/4

Answer: 17. Domain: x is all real numbers

Range: y>=0

18. r=2

Step-by-step explanation:

17. f(x)=|x-2|

|x-2|>=0

x-2>=0

x>=2

x-2=<0

x=<2

x can be less than, equal to, or greater than 2. Hence,

Domain: x is all real numbers

|x-2|>=0 ==> f(x)>=0

Hence, the range is:

Range: y>=0

18. m=(y2-y1)/(x2-x1)

2=(9-3)/(5-r)

2=6/(5-r)

2(5-r)=6

5-r=3

r=2

In am writing this because the app says the answer is to short :)))

The subtraction sentence where the difference is positive which uses a positive and negative integer are written as  5 - (-3) =8.

Integers are all real , rational numbers except the decimals and fractions. There are 3 types of integers : positive negative and zero integers.

Integers include zero, a positive natural number, and a negative integer represented by a minus sign. The negative numbers are the inverse additions of the comparable positive numbers.

There are two cases;

Case 1;

when modulus of positive integer ≥ modulus of negative integer;

Example; 5 - (-3) = 5 + 3 = 8  (Here, |5| > |-3|)

Case 2;

when modulus of positive integer ≤ modulus of negative integer;

Example; 5 - (-10) = 5 + 10 = 15  (Here, |5| < |-10|)

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Answer:

Step-by-step explanation:

c=12+5t?

Answer:

1/8

Step-by-step explanation:

5/4   divided by   10/1   is the same as  

    5/4   times  1/10

       5/4 *  1/10 =  5/40    = 1/8

Answer: 1/8

Step-by-step explanation:

[tex]\displaystyle\\\frac{\frac{5}{4} }{10} =\\\\\frac{5}{4}:10=\\\\\frac{5}{4} *\frac{1}{10}=\\\\ \frac{5*1}{4*10}=\\\\\frac{5}{4*5*2} =\\\\\frac{1}{4*2}=\\\\\frac{1}{8}[/tex]

Answer: [tex]|x| \leq 5[/tex] (the last option)

Step-by-step explanation: When you plug in values from the given solution set, the number is positive because of the absolute value symbol. This causes the range of possible values to be from 0 to 5, which are all less than or equal to 5.

THIS IS EASY?? OH HELL NO-

If the American Heart Association suggests a target heart rate of T=0.75(220-a),  Proving  that given a person's target heart rate, you can calculate his or her age using the formula a=220- /0.75. His/her age is 16 years.

a. Given:

T=0.75(220-a)

where

T =a person's target heart rate

a= his or her age

Prove:

Hence:

T=0.75(220-a)

T/0.75=220-a

T/0.75-220=a

-T/0.75+220=a

a=-T/0.75+220

a=220-T/0.75

b. How old is she:

a=220-T/0.75

where:

T=153

Substitution

a=220-153/0.75

a=220-204

a=16 years

Therefore proving  that given a person's target heart rate, you can calculate his or her age using the formula a=220- /0.75. His/her age is 16 years.

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The complete question is:

Mai-Lin measures her heart rate whenever she exercises and tries to make sure that she is staying in her target heart rate zone. The American Heart Association suggests a target heart rate of T=0.75(220-a), where T is a person's target heart rate and a is his or her age.

a. Prove that given a person's target heart rate, you can calculate his or her age using the formula a=220- T/0.75.

b. If Mai-Lin’s target heart rate is 153, then how old is she? What property justifies your calculation?

Answer:

Step-by-step explanation:

0

Answer:

(a)=∆PQU,∆QRV,∆RSW and ∆SPT are congruent.

Step-by-step explanation:

PQRS is square (given)

PQ=QR=RS=PS