Two gymnasts are running toward each other in a floor routine, and they plan to precisely time a flip to stay synchronized for the audience. The path of the gymnasts
is parabolic and modeled by the following equations, where y is the height of the flip and x is the time in seconds
y = -(x - 5)2 + 3
y=-3(x-3)2 + x + 1
To make sure the flip is in unison, after how many seconds should the flip occur?
O2 seconds
O 3 seconds
O4 seconds
O 5 seconds

Answer:

288

HOPE it helped

thankyou

Answer:

unknown number is [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

let x = unknown number

Therefore,  [tex]\frac{1}{3} x=\frac{1}{27}[/tex]

Multiply both sides by 27:  [tex]9x=1[/tex]

Divide both sides by 9:  [tex]x=\frac{1}{9}[/tex]

Answer:

C)   y = 5

Step-by-step explanation:

Equation of a line in slope-intercept form:  y = mx + b

(where m is the slope (gradient) and b is the y-intercept)

If the line is perpendicular to the y-axis, the line will be parallel to the x-axis (horiztonal) and so the slope is zero.

Therefore, y = (0)x + b

⇒ y = b

We are told that the line passes through point (-4, 5).  Therefore, the y-intercept is 5.

So the equation of the line is:  y = 5

Answer:

3

Step-by-step explanation:

I think it's 3

but I don't know if it's correct I just think it's 3

Answer:

Socratic app

Step-by-step explanation:

it will help you

Step-by-step explanation:

Let 1st side of triangle be x

so,

length of given side will be x, 2x, 6+x

we know that,

perimeter of triangle = 34

x+2x+(6+x)= 34

4x+6= 34

4x = 34-6

x= 28÷4

:x= 7

2x = 7*2= 14 ft

6+x = 6+7 = 13 ft

Answer:

3b^(4/5) * (5b + 3)

Step-by-step explanation:

Factor:

Take out the factor 3b^4/5

-Chetan K

Numbers can be represented using the place value system

The number 22 thousands, 22 hundreds, 222 tens represents 26420

The number is given as:

22 thousands, 22 hundreds, 222 tens

Rewrite the number as:

22 thousands + 22 hundreds + 222 tens

Express the place values as figures

22 * 1000 + 22 * 100 + 222 * 10

Evaluate the product

22000 + 2200 + 2220

Evaluate the sum

26420

Hence, 22 thousands, 22 hundreds, 222 tens represents 26420

Read more about the place value at:

https://brainly.com/question/12386995

Answer:

75 miles

Step-by-step explanation:

Answer:

75 miles

Step-by-step explanation:

20 miles = 1 gallon of gas

3 3/4 = 15/4

12/4 = 3 = 3 x 20 = 60 miles

3/4 of 20 = 15 miles

60 + 15 = 75 miles

Answer:

80

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle:

30 + 4x + 2 = 8 + 6x add like terms

32 + 4x = 8 + 6x move like terms to the same side of the equation:

32 - 8 = 6x - 4x

24 = 2x divide both sides by 2

12 = x now to find the angle replace x with 12

8 + 6*12 = 80

Answer:

3.1

Step-by-step explanation:

2.7 - 2.9 + 3.1 - 3.3 + 3.5

2.7 -2.9 - 3.3 + 3. 1 + 3.5 =

-3.5 + 6.6 = 3.1

The random numbers that can be chosen from the pool of numbers given will be 48, 03, 80, 74, 01, 70, 54, 50, 48, 67, 29, and 51.

It should be noted that random numbers simply means the numbers that can be chosen from a pool of unlimited numbers.

In this case, the random numbers that can be chosen from the pool of numbers given will be 48, 03, 80, 74, 01, 70, 54, 50, 48, 67, 29, and 51.

Learn more about random numbers on:

https://brainly.com/question/987944

Answer:

82.63 miles/min

Step-by-step explanation:

Unit rate in minutes per mile = 2727/ 33

Unit rate in minutes per mile = 82.63 min

=》 Peter runs 1 mile in about 82.63 minutes (approx - 83 minutes).

Hope it helps ⚜

Answer:

10

Step-by-step explanation:

1 out of 50 got it, so 500/50=10

Answer:

10 students

Step-by-step explanation:

if the ratio is 1:50 and there are 500 kids then you multiply the 50 by 10 to make it 500 then you also multiply the 1 by to so only 10 kids made honor roll

Answer:

32.5/13=time=2.5h

Time=distance /speed

The sample data is the data extracted from the overall population

If you used the population z-score equation on sample data, then (c) the answer would not be standardized

To determine a result in a statistical data, the following must be done:

Anything different from the above would result in a mismatch, and the answer would be non-standardized

Hence, the true statement is (c) the answer would not be standardized

Read more about sample and z-score at:

https://brainly.com/question/25800303

Answer:

kilograms

Step-by-step explanation:

theoretically, a bus cant be measured in grams, because its too light and unrealistic.

The school bus has a mass of about 8000 kilograms.

"Mass is the quantity of matter in a physical body. It is also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied."

"The kilogram is the base unit of mass in the International System of Units (SI), the metric system, having the unit symbol kg."

Theoretically, a bus can't be measured in grams. Because its not too light to lift and heavy in weight.

∴ The school bus has a mass of about 8000 kilograms.

Learn about more kilograms, grams and mass here

https://brainly.com/question/386356

#SPJ2

Step-by-step explanation:

Inequality to describe problem:

[tex] - 6 < x < 21[/tex]

x represents the unknown integer(s).

Integers are positive or negative numbers that don't have a fraction, or a decimal.

Positive integers that work in the inequality:

[tex] - 6 < 1< 21[/tex]

[tex] - 6 < 2 < 21[/tex]

[tex] - 6 < 3 < 21[/tex]

[tex] - 6 < 4 < 21[/tex]

[tex] - 6 < 5 < 21[/tex]

[tex] - 6 < 6 < 21[/tex]

[tex] - 6 < 7 < 21[/tex]

[tex] - 6 < 8 < 21[/tex]

[tex] - 6 < 9 < 21[/tex]

[tex] - 6 < 10< 21[/tex]

[tex] - 6 < 11 < 21[/tex]

[tex] - 6 < 12 < 21[/tex]

[tex] - 6 < 13 < 21[/tex]

[tex] - 6 < 14 < 21[/tex]

[tex] - 6 < 15 < 21[/tex]

[tex] - 6 < 16 < 21[/tex]

[tex] - 6 < 17 < 21[/tex]

[tex] - 6 < 18 < 21[/tex]

[tex] - 6 < 19 < 21[/tex]

[tex] - 6 < 20 < 21[/tex]

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 work out as positive integers.

Answer:

Your name is the answer to the riddle.

Answer

Zara gets $5.50

Step-by-step explanation:

Answer:

A = 120

B = 102

Step-by-step explanation:

Assume A had x runs

So B had [tex]x-18[/tex] runs {the total runs is 222}

A + B = 222

2x = 240

x = 120

B: x - 18 = 120 - 18 = 102

Taxes are rates or amount deducted from individuals.

The borrower paid $605.36 for county taxes

From the table, we have the following entry:

County taxes (half year)         (6)        $605.36

The above represents the amount paid for county taxes

Hence, the borrower paid $605.36 for county taxes

Read more about tax at:

https://brainly.com/question/9437038

Answer:

$605.36

$605.36

$605.36

$605.36

$605.36

$605.36

Answer:

Answer: The height of the given equilateral triangle is 3√3 cm.

Answer:

3) 162 ft²   ||  4) 38.25 mm²

Step-by-step explanation:

3)

area of triangle = 0.5 * base * height

                          = 0.5 * 27 *  12

                          = 162 ft²

4) area of triangle = 0.5 * base * height

                              = 0.5 * 8.5 * 9

                              =  38.25 mm²

Step-by-step explanation:

Area of triangle:

Area of triangle:

50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the amount of 12% sugar and y represent the amount of 20% sugar need to produce 80 oz. of 15% sugar. Hence:

x + y = 80   (1)

Also:

0.12x + 0.2y = 0.15(80)   (2)

From both equations:

x = 50, y = 30

50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.

Find out more on Equation at: https://brainly.com/question/18831322

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{3x+2}{2} =13[/tex]

[tex]\frac{3x+2}{2}[/tex]× 2 [tex]= 13[/tex] × 2

[tex]3x+2 = 26[/tex]

     -2      -2

=

3x = 24

[tex]\frac{3x}{3} =\frac{24}{3} \\x = 8[/tex]

Answer:

o 1)

[tex](x + 4)(3x + 2) \\ \\ (x)(3x) + (x)(2) + (4)(3x) + (4)(2) \\ \\ = 3 {x}^{2} + 2x + 12x + 8 \\ = 3 {x}^{2} + 14x + 8[/tex]

__o__o___

o 2)

[tex](3x - 1)(2x - 5) \\ \\ (3x)(2x) + (3x) ( - 5)+ ( - 1)(2x) + ( - 1)( - 5) \\ \\ = 6 {x}^{2} - 15x - 2x + 5 \\ \\ = 6 {x}^{2} - 17x + 5[/tex]

__o__o___

o 3)

[tex](5x + 2)(2x + 5) \\ \\ = (5x)(2x) + (5x)(5) + (2)(2x) + (2)(5) \\ \\ = 10 {x}^{2} + 25x + 4x + 10 \\ \\ = 10 {x}^{2} + 29x + 10[/tex]

__o__o__

o 4)

[tex](4x - 1)(2x + 7) \\ \\ = (4x)(2x) + (4x)(7) + ( - 1)(2x) + ( - 1)(7) \\ \\ = 8 {x}^{2} + 28x - 2x - 7 \\ \\ = 8 {x}^{2} + 26x - 7[/tex]

__o__o___

o 5)

[tex](2x + 6)(4x + 8) \\ \\ = (2x)(4x) + (2x)(8) + (6)(4x) + (6)(8) \\ \\ = 8 {x}^{2} + 16x + 24x + 48 \\ \\ = 8 {x}^{2} + 40x + 48[/tex]