Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for this object's height h(t) at time t seconds after launch is h(t) = -16t2 + 80t. a. Find the vertex. Explain what this means in the context of the situation

Answer:

I believe the correct answer is D

Answer:

(x + 2)² + (y - 4)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 2, 4 ) and r = 4 , then

(x - (- 2))² + (y - 4)² = 4² , that is

(x + 2)² + (y - 4)² = 16

Answer:

b

Step-by-step explanation:

The range of the function g(x) = 3|x-1| - 1 by evaluation is; [-1,00].

From the taks content, the function given is;

Hence, it follows that the lowest possible value of y is -1 by means of the absolute value sign in the equation.

The range is therefore; [-1, 00].

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a) The data on the y-axis: the numbers of people in each salary category.

b) The data on the x-axis: salaries

c) The distribution of salaries is skewed to the right.

We know that a histogram is a graph in which the x-axis is a quantitative variable split into bins, and the y-axis is the frequency.

For given distribution of salaries for individuals, the Y-axis would have the frequency i.e., the numbers of people in each salary category.

And x-axis would have income, because this is out quantitative variable of interest.

consider the following histogram.

We can observe that the graph of distribution of salaries is skewed to the right, because most income data are positively skewed. There would be a substantial number of individuals at or near the lowest salary level, but some people make a tremendously high salary.

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Answer:

x = -4

y = 29

Step-by-step explanation:

Let's take our two equations and turn the decimals into fractions for simplicity's sake. We get:

x/4 + 5y/100 = 9    x + y = 25

Simplifying a bit gives us:

x/4 + y/20 = 9       x + y = 25

Now, we will take the first equation and multiply it by 20 to get rid of the fractions. We get:

5x + y = 9

We will rearrange numbers to give us an answer to y that we can substitute in. we get:

y = 9 - 5x

Then, we will plug this into our second equation giving us:

x + 9 - 5x = 25

Combining like terms and subtracting 9 from both sides gives us:

-4x = 16

Dividing by -4 gives us:

x = -4

Then, we can substitute this into our second equation giving us:

-4 + y = 25

We will add 4 to both sides giving us:

y = 29

Hope this helped!

Answer:

see image

Step-by-step explanation:

Right at the point (1,2) there's a nice point. Going up and right along the line there's another nice point at (5,5)

To get from one point to the next, you can draw a stair-step line that goes up3 and over4. The slope is up3/over4.

m = 3/4

The slope is 3/4. See image.

Answer:

7.5

Step-by-step explanation:

The two lines are neither parallel nor perpendicular to each other.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the two equations of the lines are y= -1/3x+2 and 5y+15x=-40.

y= -1/3x+2

5y+15x=-40.

5y = -15x - 40

y =-3x - 40/3

Here the slopes of the lines are,

m₁= -1 / 3

m₂ = -3

For the lines to be parallel the slopes should be equal and for the lines to be perpendicular the slopes should be inverse and reciprocal.

Here the slopes are neither equal nor have the inverse reciprocal.

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Answer:

-1764

Step-by-step explanation:

use BODMAS rule

⇒7{-7+8[5-3(4+6)]-9(9-4)}

solve round brackets

⇒7{-7+8[5-3(10)]-9()}

multiply 3 by 10 within the square bracket

⇒7{-7+8[5-30]-9(5)}

solve square bracket

⇒7{-7+8[-25]-9(5)}

move to curly brackets and multiply first

⇒{-7-200-45}

subtract

⇒7{-252}

multiply

⇒-1764 Answer

hope that helps...

Answer:

625

Step-by-step explanation:

1.25.625

125 = 5³

625 = 5⁴

prime factor 5 , number 125 is 3 number 625 is 4 LCM is 4

LCM = 5⁴

so the LCM is 625

The height of the flag is 18 feets.

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

Length is equal to 2 (2 + 3) the sum of the side lengths.

The sum of side length divided by (12) equals (2/5)

12 = 0.4(sum of side length) (sum of side length)

divide both sides by 0.4.

The height of the flag is calculated as side lengths plus length.

Height of flag: (30 – 12) = 18 feet

Therefore, the height of the flag is 18 feets.

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Answer:

-17h-36 is your answer

Step-by-step explanation:

3(-7h-4) +4 (h-6)

-21h-12+4h-24

-17h-36

Answer:

3014.4

Step-by-step explanation:

Answer:

c=2,25

Step-by-step explanation:

c4=5+4

c4=9

c=9:4

c=2,25

Answer:

c=4

Step-by-step explanation:

4c-5=4

/4         /4

c-5=1

+5    +5

c=6

Answer:

Ok ill find the slope for this graphhhhh

Step-by-step explanation:

-3/4

Answer:

94 inches

Step-by-step explanation:

first calculate the surface area of the side of the container by multiplying 20.5 by 12, then take that number and divied 23124 by it to see how many inches of sides you need to make 23124

another way to explain it, multiply 20.5 by 12 to get the surface area of a plane, then divide 23124 by the surface area fo the plane to get how many inches of planes you have to have in order to have 23124 inches of total space

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest

this is a question of set of equations and solution is as follows,

Williamston Daily newspaper started printing newspaper.

Three years ago they had 5900 subscribers.

every month there is an increase of 66 new subscribers.

n is the number of months the paper has been printed.

so, the linear model will be  

B= early subscriber + number of month × increments

B= 5900 + n × 66

B= 66 n + 5900

Example - subscribers after 3 months,

n = 3

= 66 x 3 +5900

= 198 + 5900

= 6000

set of equations

A system of equations is a set or collection of equations that you deal with all together at once. Linear equations are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

Linear equations

Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, a and b are real numbers.

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Answer:

C

Step-by-step explanation:

The volume is (6*12*5 1/4). Since 6*12 is 72, this is equal to 72*(5 1/4).

The exponential function to describe the given sequence of numbers, 10, 60, 360, 2160, 12960, ... is aₙ = 10 × [tex]6^{n-1}[/tex].

The given series 10, 60, 360, 2160, 12960, ... is a geometric progression.

a = 10

The common difference r = 60/10 = 6

As we know the general formula of the nth term of a geometric series is

aₙ = a × [tex]r^{n-1}[/tex]

Now, put the values of a = 10, r = 6 and n in the general formula,

aₙ = 10 × [tex]6^{n-1}[/tex]

Therefore, the required exponential function to describe the given sequence of numbers, 10, 60, 360, 2160, 12960, ... is aₙ = 10 × [tex]6^{n-1}[/tex].

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Answer:

This cannot be solved but it can be simplified

first we open the bracket

so we have

a²- abx/x = 2/3

next we cross multiply so it will be 3(a² - abx) = 2x

we get

3a² - 3abx = 2x

Next we factorise so we can get

3a(a-bx) =2x

I dont know what exactly you where asked but I hop this helps

Answer:

24.36m²

Step-by-step explanation:

area = ½×(8.9+2.7)×4.2= ½×48.72=24.36m²

Answer:

business plan proposal

Answer:

we have to make the denominator of both the fraction same so that we can compare.

We have to multiplybboth nominator and denominator by 6.then,

7×6/4×6=28/16

Now, comparing 28/6 and 28/6 we get to know that both the fraction are proportional.i.e.28/16=7/4

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The length of each piece of the sandwich is 0.3125 feet.

A unitary approach is a mathematical technique for finding the value of a single unit and then multiplying it by any number of other units to derive the value of the given units.

Given, Zachary's art club ordered a giant sub sandwich for a party.

Therefore, t6o obtain the length of each piece we have divide the total length of the sandwich by the total number of pieces which is,

= (5/16) feet.

= 0.3125.

So, The length of each piece is 0.3125 feet.

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In this case I believe you would add 25 to both sides. The -25 +25 would cancel out and then +25 would be on the right.

Answer:

x + y = 180

y + 6 = x

Answer:

where the image??

Step-by-step explanation:

Answer:

the formula is

Step-by-step explanation:

a + b + c = P  ( P= perimeter )

= (7⁵ × 7ⁿ)⁴ = (7¹⁶/7ⁿ)³

= (7²⁰ × 7⁴ⁿ) = (7¹⁶ × 7-ⁿ)³

= 7²⁰⁺ ⁴ⁿ = 7⁴⁸ ⁻ ³ⁿ

= 20 + 4n = 48 - 3n

= 20 - 48 = -3n - 4n

= -28 = -7n

= -28/-7 = n

= 4 = n

_____________

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The fifth term of the given arithmetic sequence is 36.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d

Given that, in a sequence the first term of 4 and the common difference is 8.

Here, a=4 and d=8

Now, the fifth term is

a₅=4+(5-1)×8

= 4+32

= 36

Therefore, the fifth term of the given arithmetic sequence is 36.

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