Use the Distance Formula to write an equation of the parabola with vertex (0,0) and directrix y = -6

An equation of the parabola is y=

Answer:

C

Step-by-step explanation:

x + 8 = 6

x = 6-8

x = -2

.....

Answer:

3 teaspoons.

Step-by-step explanation:

500/2=250 grams per teaspoon

750/250=3

3 teaspoons

As per unit rate of storing liquid in a container , the equivalent rate for 4 minutes is equal to (16/3) gallons.

As given in the question,

Liquid storage container is being filled at a constant rate.

Rate of filling a container = 1/3 gallon per 1/4 minute

Unit rate = (1/3 gallons)/ (1/4 minutes)

              = (4/3) gallons per minute

Equivalent rate for 4 minutes is equal to

= [ ( 4 / 3) × 4 ] gallons per 4 minutes

= ( 16 / 3) gallons

Therefore, as per unit rate of storing liquid in a container , the equivalent rate for 4 minutes is equal to (16/3) gallons.

The complete question is :

A liquid storage container is being filled at a constant rate. The container is being filled at a rate of 1/3 gallon per 1/4 minute.

Unit rate = (1/3 gallons)/ (1/4 minutes)

              = (4/3) gallons per minute

Find the equivalent rate for 4 minutes.

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The expression which is equivalent to −12(8a − 7b) + 8(4x + 3y) is - 96a + 84b + 32x + 24y.

The correct answer option is option a

Equivalent expression are expressions which when solved, the results are equal to the old expression.

-12(8a − 7b) + 8(4x + 3y)

Using PEMDAS

- 12(8a − 7b) + 8(4x + 3y)

- 96a + 84b + 32x + 24y

Therefore, the equivalent expression for −12(8a − 7b) + 8(4x + 3y) is - 96a + 84b + 32x + 24y.

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Answer:

18 red and 6 other color

Step-by-step explanation:

A box of 24 ornaments contains 3/4 red ornaments. How many red ornaments are in the box? How many ornaments are another color than red?

3/4 × 24 = red ornaments

= 18 red

24 - 18 = 6 other color

The three of the following expenses which the student aid cover include the following below:

This is referred to as the type of funding which is required to cover the cost of post-secondary education and are usually in the form of scholarships, grants, etc. It is awarded by government or private institutions and most times the highest scorers in an exam determines who will get it.

This aid covers different types of school expenses which are the most important ones such as tuition, school supplies etc thereby making it the correct choice.

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The commutative property is a mathematical property that states to combine like terms. Like terms are terms that have the same variables and powers.

In the given:

8x + 4 + 6x +2

By adding 8x and 6x, and 4 + 2, you are using the commutative property to simplify this expression.

8x+6x = 14x

4+2=6

The simplified equation is 14x + 6

-------

If you would like to further simplify this expression, factor out the greatest common factor.

The further simplified expression would look like: 2(7x + 3)

Answer:

1 solution

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

we enter -3 in for all the x's and rewrite the problem.

-3 (1 - (-3) -4 • 2)

then we calculate ending up with the next problem.

-3 • (-4)

then we simply multiply and end up with 12 as our answer, hope this helped!

Answer:

X = 31

Step-by-step explanation:

180 = 2x + 9 + 3x +16

180 = 5x + 25

180 + -25 = 5x

155 = 5x

5x/5 = 0 (Cancel out)

155 /5x = 31

X = 31

Check math by :

2 x 31 = 62 + 9 = 71

3 x 31 = 93 + 16 = 109

109 + 71 = 180

Therefore, X = 31

Therfore we can derive the equation:

[tex]2x+3x+9+16 =180[/tex]

[tex]5x+25 = 180[/tex]

5x = 155

[tex]x = 31[/tex]

Answer: 7(30 + c) min

Step-by-step explanation:

Total time spent in gym = (30 + c)

Total day went to gym = (3 + 4) = 7 day

Net time = 7(30 + c) min

1. The algebraic expression that represents the amount left on her card after Laqueta buys 7 songs is 50 - 7s

2. The money that will be left on her card if each song costs $1.25 is $41.25.

From the information given, Laqueta has a $50 gift card for an online music store and each song costs s dollars.

In this case, the algebraic expression that represents the amount left on her card after Laqueta buys 7 songs will be:

= Total amount - Cost of songs

= 50 - (7 × s)

= 50 - 7s

where s = number of songs

The money that will be left on her card if each song costs $1.25 will be:

= 50 - 7s

= 50 - (7 × 1.25)

= 50 - 8.75

= $41.25

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Answer:

1.divide

2.minus

3.times

375π litters of water is needed to fill the cylindrical tank with a diameter of 1.0m and height of 1.5m.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi.

Given the data in the question;

Plug the given values into the formula above and solve for V, to determine the liters of water that will fill the tank.

V = π × r² × h

V = π × ( 0.5m )² × 1.5m

V = π × 0.25m² × 1.5m

V = 0.375π m³

Next, convert cubic meters to liters.

V = 0.375π m³ = ( 1000 × 0.375π )L

Volume V = 375π L

Therefore, a volume of 375π litters is needed to fill the tank.

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Answer:17

Step-by-step explanation:

|-3|^3 + 8

3^3 +8

9+8

17

The probability that maximum speed differs from the mean value by at most 1.5 standard deviations is 0.1336.

The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. It is written as, P(E) = (Number of favorable outcomes) = Probability of an Event (Sample space).

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The probability will be illustrated as:

P(|Z|>1.5)

= P(Z<-1.5) + P(Z>1.5)

= 2*P(Z<-1.5)

Look at the value under the distribution table. This is 0.0668.

= 2 × 0.0668

= 0.1336

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a. 8 + 0 = 4 +4

d. 5+1 = 6 +0

b. 7+2=9+0

e. 6 +1= 4 + 3

C. 5+2=4+3

f. 5+4= 6+3

How can I locate a lost number?

Missing numbers are those that were omitted from the offered series of numbers with comparable discrepancies. Finding similar differences between the missing numbers and adding their missing values to the appropriate series is how the missing numbers are written.

example

Children are frequently asked to solve number sentences, which are compositions of numbers and mathematical processes. Number phrases contain the following: 32 + 57 =? 5 x 6 = 10 x?

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A scatter plot for the data shown in the table is plotted and illustrated in the attachment below.

A scatter plot is also referred to as scatter diagram, scatter chart, or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

In this scenario, the text messages would be plotted on the x-axis of the scatter plot while the age would be plotted y-axis of the scatter plot as depicted in the image attached below.

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Mike's average score is 166.

Divide the total by the number of numbers after adding up all the numbers.

Implying something that sits in the midst. The average is the ratio created by dividing the total number of figures in a set by the total number of figures. Averages are used to condense a vast number of data points into a single value. It is a visual depiction of all the data set's available numbers. By adding up all the data values and dividing them by the total number of data points, the average is calculated.

Given Data

Mike bowled two games with scores of 157 and 175.

Sum of scores = 332

Average = [tex]\frac{Sum of scores}{Totak number of bowling}[/tex]

Average = [tex]\frac{157 + 175}{2}[/tex]

Average = [tex]\frac{332}{2}[/tex]

Average = 166

Mike's average score is 166.

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Distance was 10 miles away from home.

What is Distance ?

The measurement of distance is the separation between two objects or points, and it can be quantitative or occasionally qualitative. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.
For a journey to see her cousin, Hannah traveled. She traveled 120 miles one way to visit her cousin and 120 miles the other way to return home.

She traveled halfway to her cousin's home in 1.2 hours.
That is 120 / 2 = 60 miles
(Speed = distance/time) 60 miles in 1.2 hours
Average speed = 60 / 1.2

                          = 50 mph.

For the remainder of the journey to her cousin's home, Hanna's average speed was 40 miles per hour.
Another 60 kilometers remain: Time (= Distance/Speed)
Time = 60/40

         = 1.5 hours.

Hanna averaged 55 miles per hour when she made her way home along the same path. Her automobile broke down after two hours.

Find the distance traveled at 55 mph in 2 hours. (Distance = time * speed)

Distance = 55 * 2 = 110miles

So distance from home will be,

= 120 - 110

= 10 miles

Hence, she was 10miles away from her home

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The estimate that best describes the area under the curve in square units is option B: 15 units².

The area under a curve in calculus is a picture of an integral. It is frequently possible to interpret the area under a curve as the total amount of whatever the function is describing.

By performing a definite integral between the two locations, one can determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to tell about the area under the curve y = f(x) between x = a & x = b.

Therefore, each box:

0.5 × 1 = 0.5 units^2.  Then add up the boxes, and it is about  30. So:

30×0.5 = 15 units².

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Answer:

a) x^7 y^2

b) 6 x^8 y^3

Step-by-step explanation:

Exponential expressions

a) x x x x x xу ху

There are 7 x 's in the expression and 2 y's  The number of the x's is the exponent for x is the exponent and the same for y

x^7 y^2

b) 2 xx x x x 3 ×ухуху

Multiply the constants 2*3 = 6

Count the x's 8 x's  = x^8

Do the same for y 3 y's  = y^3

6 x^8 y^3

The goalposts are 6.92m tall.

Angle of incidence Equals Angle of reflection, according to the physics principle of reflection.

Both angles  ( θ) are equal, as seen in the attached image.

m<ABC = mADC = 90° - θ

m<ACB = mECD = 90°

detailed explanation?

Angle of incidence Equals Angle of reflection, according to the physics principle of reflection.

Both angles  ( θ) are equal, as seen in the attached image.

m<ABC = mADC = 90° - θ

m<ACB = mECD = 90°

Thus, the ABC triangle and the EDC triangle will both be similar.

Their corresponding sides will also be proportionate due to the property of comparable triangles

AB/BD  =  CB/CD.

1.15/ED  =  2.0/12.5

ED  =   1.15  *   12.05 /2.0

ED=  6.92

ED = ED = 6.92 m

The goalposts are 6.92m tall.

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Correct option is C, The solution is set of all real numbers.

When x=0, 0=0 and 24 Equals 24 when x = 4.

This equation holds true for all real numbers since both sides of the equation are the same. When 0=0, the solution reveals that the equation is an identity, a specific kind of equation that is true regardless of the value of x.

Identity equations are described as equations that are true regardless of the value of the inserted variable.

3(x+4)=3x+12

3x+12=3x+12

When x = 0

3(0)+12=3(0)+12

12=12

When x = 4

12+12=12+12

The set of all real numbers is the answer as a result.

Y - = m is an equation for a line given a slope and a point ( x - )

or y - 7 = 1 ( x - 1) ( x - 1)

or y - 7 = x -1

or y = x + 6

Consequently, a line parallel to the line y = x + 4 has the equation y = x + 6.

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Each member of the club needs to pay £ 4.895 to cover the cost of hiring the buses.

A youth club's 143 members and eight leaders ride a bus to a bowling alley.

The buses for hire by the beezer bus company hold 32 passengers each.

The cost of each bus to hire is £140.

There are eight leaders and 143 members.

Therefore, there are a total of 143 + 8 = 151 passengers.

So, the number of buses required will be:

= 151 / 32 =  4.7 ≈ 5 buses

Therefore, the cost of hiring 5 buses will be:

= 5 × £140 = £ 700

As the eight leaders will not ay.

Therefore, the amount each member needs to pay is:

= £ 700 / 143

= £ 4.895

Each member of the club needs to pay £ 4.895 to cover the cost of the buses.

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Answer:

Option 4,  8 1/3

Step-by-step explanation:

-2.5 * - 3 1/3 = 8.3 repeating

8.3 repeating = 75/9

75/9 = 8 1/3