During a fireworks display, one rocket went up and came down without exploding. The height of the rocket was described by the function, h(t)= − 16 t 2 + 88 t , where t = time in seconds and h(t) = height in feet. What was the maximum height reached by the rocket?

Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day

Two or more expressions with an Equal sign is called as Equation.

The billing cycle for the month = 28 days

Current beginning balance = x

Annual percentage rate (APR) = 24%

Monthly percentage rate (MPR) = 2% (24% ÷ 12)

Purchase on the last day = $1,400

Total finance charge for the month = $51

Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)

Finance charge for the beginning balance = $50 ($51 - $1)

The current beginning balance, x = $2,500 ($50 ÷ 2%)

Equation for current beginning balance, x = 51 - 1 ÷ 0.02

Total finance charge for the last-day purchase = $28 ($1,400 x 2%)

Savings in finance charge by purchasing on the last day = $27 ($28 - $1)

Hence, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the last day of the billing cycle instead of on the first day.

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Answer:

Step-by-step explanation:Its actually 102, not 110

Therefore, we can rationalize the denominator of a fraction containing a radical by taking the methods outlined above.

Components of fractions are the numbers in the numerator and denominator (and ratios). The denominator, which is the smallest number, represents the greatest possible number of parts that can be put together to create a whole. You can tell how many parts you have by looking at the numerator, which is the greatest number. It might not be the whole thing! If the denominator is 0, that is bad. Division by zero is prohibited. If the denominator is a 1, our fraction is actually an integer.

Here,

we can rationalize a radical-containing fraction's denominator by doing the following:

Step 1: In order to eliminate the radical from the denominator, multiply the numerator and denominator by a radical.

Verify in step two that all radicals have been streamlined.

Step three is to simplify the fraction, if necessary.

Therefore, we can rationalize the denominator of a fraction containing a radical by taking the methods outlined above.

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Answer:

166

Step-by-step explanation:

1) the area of triangles on the left and right sides: 2*13

2) the area of triangles on top and bottom sides: 10*12

3) the area of the rectangle in the middle: 10*2

4) Altogether: 2*13+10*12+10*2=166

Answer:

sector area = [central angle / 360] * PI * radius²

central angle = sector area * 360 / [PI * radius²]

central angle = 9 cm² * 360 / [3.14159 * 6²]

central angle = 28.6479139544 degrees

Source: http://www.1728.org/radians.htm

Step-by-step explanation:

50-50-80 is a Isosceles acute triangle.

An isosceles acute triangle is a triangle in which all three angles are less than 90°, and at least two of its angles are equal in measurement. One example of the angles of an isosceles acute triangle is 50°, 50°, and 80°.

Properties of Isosceles Acute Triangle

It is easy to point to an isosceles acute triangle if we know its properties. The properties of the isosceles acute triangle are noted below:

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[tex]b = 5, \: g = 3, \: r = 8[/tex]

[tex]total = 5 + 3 + 8 = 16[/tex]

[tex]p(b) = \frac{5}{16} [/tex]

[tex]p(g |without \: replacement|) = \frac{3}{16 - 1} = \frac{3}{15} = \frac{1}{5} \\ [/tex]

[tex]p(b \: and \: g) = \frac{5}{16} \times \frac{1}{5} = \frac{1}{16} [/tex]

Answer:

ITS 64 degrees

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

hope this helps:)..........

Therefore, the inequality problem solution is even if Guliskhan runs for 60 seconds and cycles for 90 seconds, she will not be able to travel the required distance.

Both formulae and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,≥,≤, or.<

Here,

R should stand for Guliskhan's running seconds, and B should stand for her bicycling seconds.

Guliskhan is said to bike at a pace of 7 meters per second, hence the distance (in meters) that he covers in B seconds will be 7B.

An inequity of 3R + 7B 1000 has been handed to us.

We can observe that 7B reflects the cycling distance covered by Gulkishan in meters in B seconds.

Guliskhan covers a distance of 3R meters in the number of seconds she runs for, where R is the number of seconds she runs for.

Guliskhan moves at a steady pace of 3 meters per second because of this.

B. Since Gulkiskhan 3R plus 7B has traveled a total distance greater than or equal to 1000 meters, her minimum intended distance is 1000 meters.

C. Let's replace R=60 and B=90 in our inequality to see if Guliskhan is capable of traveling this minimum distance.

=>3*60 + 7*90 ≥ 1000

=>180 + 630 ≥ 1000

=>810 ≠> 1000

Therefore, even if Guliskhan runs for 60 seconds and cycles for 90 seconds, she will not be able to travel the required distance.

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Answer: its hard to give an answer but read explanation

Step-by-step explanation: so the first number (1/3x) is your slope and the second number is the y-intercept (5). so for example, you're going to put positive 5 on the y-axis and because you slope is a fraction, rise/run will make you go 3 to the right and 1 up. Then you do the same with the second equation except, the slop is negative and you'll have to go down.

Answer:

0.26.  This is the fraction of states that do not use wind energy.  

Step-by-step explanation:

There are 50 states total.  If 37 use wind energy, then 50 - 37, or 13, do not.

13/50 = 0.26.  This is the fraction of states that do not use wind energy.  

Answer:

1) The stars are not constant in their position.

2) No. The stars aren't in original position because of apparent movement of stars in the sky.

3) Due to rotation of earth on its axis , the stars appear to move from west to east in the sky. Actually stars don't move as they are constant in their position but they appear to move with respect to earth.

4) Both the motion of stars & motion of sun are similar because both are an example of apparent motion. Both appear to change their respective positions but in reality , sun & stars are constant in their positions. But as earth is rotating , it appears like sun & stars are changing their positions.

Answer:

Isosceles trapezoid has congruent base angles:

∠A ≅ ∠D and ∠B ≅ ∠C

Answer:

x = 16 degrees

y = 28 degrees

Step-by-step explanation:

1.) ∠A ≈ ∠D since they are base angles: so;

5x = 80

=> divide 5 on both sides:

x = 16 degrees

2.) Now Substitute 16 in for the x-value

5x ⇒ 5(16) = 80,

3.) Since we know the measure of the sum of interior angles is 360° we can say that:

(4y - 12) + 100 + 5(16) + 80 = 360

=> 4y - 12 + 100 + 80 + 80 = 360

=> 4y + 248 = 360

Subtract 248 on both sides of "="

=> 4y = 112

Divide 4 on both sides of "="

=> y = 28

Hope this helps!

Answer:

45.7 inches

Step-by-step explanation:

The perimeter uses 3 sides of the square, so 3 x 10 = 30. We'll add that later.

Then we need to find the circumference of the half-circle. We know the diameter is 10, because that's the side of a square.

Circumference = pi x diameter

C = 3.14 x 10 = 31.4

But that's for the whole circle. We only have a half.

31.4 /2 = 15.7 is the perimeter for the half circle. Add this to the 3 sides of the square

30 + 15.7 = 45.7

Answer:

6 Passwords

Step-by-step explanation:

718, 781, 817, 871, 178, 187

(Hope this helped! Please comment any questions) :)

Answer:

The idiot that sent the link just got taken down so I'll just answer with my comment.

Step-by-step explanation:

"I believe it is 6"

Answer:

1)  23x + 6y

2) 8x  - 4y

3)  4x - x² + 7

Step-by-step explanation:

Simplify:

Multiply each term of (3x + 6y) by 5 and multiply each term of (2x - 6y) by 4.

5(3x + 6y) + 4 (2x - 6y)  = 5*3x + 5*6y + 4*2x - 4*6y

                                       = 15x + 30y + 8x - 24y

Now, combine like terms. Like terms have same variable with same power.

                                         = 15x + 8x + 30y - 24y

                                           = 23x + 6y

2) 3(4x - 2y) - 2*(2x -y) = 3*4x + 3*(-2y) + (-2)* 2x + (-2)*(-y)

                                     = 12x - 6y - 4x + 2y

                                     = 12x - 4x - 6y + 2y

                                    =  8x - 4y

3) f(x) = 3x + 2

To find f(x +1),  replace x with (x +1)

f(x +1) = 3*(x + 1) + 2

          = 3*x + 3*1 + 2

          = 3x + 3 + 2

          =3x + 5

f(2x) = 3*(2x) + 2

        = 6x + 2

f(2x) + h(x) = 6x + 2 - x² - 2x + 5

                 = 6x - 2x - x² +2 + 5

                 = 4x - x² + 7

Answer:

360

Step-by-step explanation:

60 divided by 15=4

90 x 4 =360

Answer:

720 miles

Step-by-step explanation:

This is assuming the train continues to move at the same speed.

You can think about the problem in the following way:

The 2 hour journey is split up into x number of 15 minute segments.

2 hours = 120 minutes

120/15 = 8

Therefore, x = 8.

If the journey can be split into 8 15 minute segments, and each 15 minute segment carries it 90 miles, the total distance traveled is given by:

8 * 90 miles = 720 miles

Atlernatively, you can calculate the average speed of the train.

Speed = Distance/Time

So: Speed = 90 miles/15 minutes = 6 miles/minute.

Reusing the above formula, substituting in speed = 6 miles/minute and time = 120

Answer:

50.24

Step-by-step explanation:

The formula for solving circumference is 2 x pi x r

first the radius is 8 (divide 16 by 2 and get radius)

( pi can be 22/7 or 3.14. but I’m taking 3.14 )

second, we have all values, now we just have to substitute them!

Pi = 3.14

R = 8

so when we do 2x 3.14 x 8 = 50.24

I hope this helped!

Answer: The area of the circle is 64π cm

Step-by-step explanation:

d=16→r=8

A= π⋅8 ^2

A= π⋅64

A=64π

A system that has no solution is classified as inconsistent.

A system that has one and only one solution is classified as  independent

The system of equation graphed is consistent and independent.

The equations given by the graph are expressed as;

3x - 4y = 32

3x + 5y = 24

Now, if we subtract eq 1 from eq 2, we will get;

5y - (-4y) = 24 - 32

9y = -8

y = -8/9

Put 8/9 for y in eq 2 to get;

3x + 5(8/9) = 24

3x = 24 - 40/9

3x = 176/9

x = 176/27

Now, to classify solution to equations, we say that;

1) When there is no solution, it is inconsistent.

2) When there is one and only one solution, it is independent

Since we have a solution and only one solution, then we can say that the system of equation graphed is consistent and independent.

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Answer:

x = A/7

Step-by-step explanation:

Given that the screen is rectangular, recall that the area A of a rectangle whose length is L and width is W is given as

A = L * W

Hence if the width is 7 inches and the length is x inches then the area which is A square inches is connected to both sides as

A = x * 7

Divide both sides by 7

x = A/7 inches

Answer:

the amount spent on petrol is Rs 9,676

Step-by-step explanation:

Given that

The tax driver filled the car petrol with 54 liters on Saturday

On sunday, he filled his tank with 64 liters

And, the petrol cost is Rs 82 per liter

We need to find out the amount of money spent

SO,

= (54 liters + 64 liters) × Rs 82

= Rs 9,676

Hence, the amount spent on petrol is Rs 9,676

The answer choice which represents a number line for the intersection of the given intervals is; (4, ∞).

The answer choice which represents a number line for the union of the given intervals is; (-3, ∞).

It follows from the task content that the number line which represents the intersection and union of both intervals given is to be determined.

Since the given intervals are; (-3, ∞) and (4, ∞)

It follows that the intersection of both intervals is the interval; (4, ∞).

Also, the interval which represents the union of both intervals is; (-3, ∞).

Hence, the image which represents both scenarios is attached.

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The inverse of f(x) = 3/(x-1) is f^-1(x) = 3/x - 1.

So the correct answer is  f ^ - 1 * (x) = 3/x - 1

The inverse of a function, denoted f^-1(x), is a function that "undoes" the original function. To find the inverse of a function, we need to switch the roles of x and y and then solve for x.

Given the function f(x) = 3/(x + 1), we can find its inverse by:

y = 3/ (x + 1)

Multiply with (x + 1) and divide by y

y(x + 1)/ y = (3/ (x + 1))×(x + 1)/ y

x + 1 = 3/ y

x = 3/ y - 1

Switching the roles of x and y:

y = 3/ x - 1

Thus f^(-1)(x) = 3/ x - 1

It's worth noting that in order for a function to have an inverse function it must be a one-to-one function. This means that for every y value there is only one x value.

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Answer:

B. 64 cubic meters

Step-by-step explanation:

The first rectangle has the dimensions 7 x 2 x 4. 2 x 4 is 8, and 8 x 7 is 56. The square has the dimensions 2 x 2 x 2, which is 8. 56 + 8 is 64, so the answer is 64.

Answer:

ITS B HOPE THIS HELPS

Step-by-step explanation:

Answer: 31.5

Step-by-step explanation:

6.3 x 5

hope this helps :)

Answer:

50.05 cm^2

Step-by-step explanation:

Ok so first lets find the area of the rectangle before finding the attached triangle. You have to imagine a line separating this shape into a triangle and rectangle.

The rectangle's size is 6.5x5.5=35.75 cm^2

The rectangle's size is 11.7-6.5 to get the base length, which is 5.2

The height is 5.5

So it's 5.2*5.5/2=14.3 cm^2

14.3+35.75=50.05 cm^2

The reasonable solutions for this situation is (1, 3.5) and (2, 2)

A graph is a visual representation of data or information, typically used to display the relationship between two or more variables. Graphs are used to make it easier to understand and analyze data, and can be used to convey information in a clear and concise manner.

Audrey has x pounds of red grapes and y pounds of green grapes.

She has less than 5 pounds of grapes in all, hence:

x + y < 5

Also, x ≥ 0, y ≥ 0

a) The option (–1, 2) is wrong because x = -1 < 0

b) The option (1, 3.5) is correct because 1 + 3.5 = 4.5 < 5

c) The option (2, 2) is correct because 2 + 2 = 4 < 5

d) The option (4.5, 0.5) is wrong because 4.5 + 0.5 = 5 which is not less than 6.

e) The option (5, 0) is wrong because 5 + 0 is not less than 5

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