find a quadratic polynomial each with the given number as the sum and product of its zeros respectively
1/4 and 1​

Answer:

iam thinking the answer is ""-262,5ft""

The height of the rocket when the distance between them is 10 feet will be h = 24.49 feet.

The height is a vertical distance between two points. It is given that A model rocket is launched 25 feet from you. When the rocket is at height h, the distance d between you and the rocket is given by d = 625 + h² where h and d are measured in feet.

The height will be calculated by forming the two equations from the given data in the question.

25  =  625  +  h²

100  =  4  (  625   +  h² )

100  =  ( 2500   +  4h²  )

By solving both the equations:

100  -  25  =  2500  -  625  +  4h²   -   h²

3h²   =  1800

h   =   √600

h   =   24.49 feet

Therefore the height of the rocket when the distance between them is 10 feet will be h = 24.49 feet.

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Answer:

259.15

Step-by-step explanation:

Answer:

2 2/10 miles

but on the part where he realized he forgot his books was he at the library already when he realized cuz if not them it's more than 2 2/10

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

To determine the equation of a line:

We're given:

[tex]y=mx+b[/tex]

⇒ Plug the slope into the equation:

[tex]y=-\dfrac{1}{3}x+b[/tex]

⇒ Plug in the given point (3,5) and determine the y-intercept:

[tex]5=-\dfrac{1}{3}(3)+b\\\\5=-1+b\\\\b=6[/tex]

⇒ Plug this back into the equation along with the slope:

[tex]y=-\dfrac{1}{3}x+6[/tex]

[tex]y=-\dfrac{1}{3}x+6[/tex]

Answer:

5x-1=6x-9

5x-1-6x= -9

5x-6x= -9+1

-x= -8

(-1)*(-x)= (-1)*(-8)

x=8

Answer:

See below ↓↓

Step-by-step explanation:

Finding the radius

Surface Area

Volume

Answer:

$600

Step-by-step explanation:

This can be modeled as an exponential equation.

General form of an exponential function: [tex]y=ab^x[/tex]

where:

Therefore:

[tex]\implies 75=a(0.5)^3[/tex]

[tex]\implies 75=0.125a[/tex]

[tex]\implies a=\dfrac{75}{0.125}[/tex]

[tex]\implies a=600[/tex]

Therefore, the computer initially cost $600.

[tex]2+8p-3(12-5p)-(2-3p)(4)\\\\=2+8p-36+15p-8+12p\\\\=35p-42[/tex]

Answer:

Step-by-step explanation:

gerald=2x

guy=x

gill= aproximately 0.3x

2x+x+0.3x=99

2.3x=99

x=43.04

The age of the guy is 29.72 years, the age Gerald is 59.44 years and the age of gill is 9.8 years.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given data in the question,

The equation according to the given statement will be,

The age of Gerald is 2x,

The age of the guy is x and the age of the gill is 0.33x.

So, the equation will be,

x + 2x + 0.33x = 99

3.33x = 99

x = 99/3.33

x = 29.72

Age of Gerald, 2x = 2(29.72) = 59.44 years.

Age of guy, x = 29.72 years and,

Age of gill, 0.33x = 0.33(29.72) = 9.8 years.  

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The total number of terra-cotta tiles needed is 220 tiles.

The total number of blue tiles needed is 4428 tiles.

The cost of all the tiles would be  $3,092.60.

The first step is to determine the area of the entryway and the kitchen.

Area of the entryway = length x width

(22 - 18) x 10 = 40 ft²

Area of the kitchen = 10 x 18 = 180ft²

Sum of the areas of the entryway and the kitchen = 180 + 40 = 220 ft² = 220 tiles

Total cost = 220 x $5 = $1100

Areas of the bathroom floors = (10 x 6) + (7 x 9) = 123ft²

Convert ft² to in²

1 ft² = 144in²

123 x 144 = 17,712 in²

Number of tiles needed = 17,712 / 4 = 4428 tiles

Total cost = 4428 x 0.45 = $1992.60

Total cost = $1992.60 + $1100 = $3,092.60

Here is the complete question:  Dareen's family now wants to Install 1-foot-square terra-cotta tiles in the entryway and kitchen, and 4-inch-square blue tiles on each bathroom floor. The

terra-cotta tiles cost $5 each, and the bathroom tiles cost 45€ cach. How many of each kind will they need? What will all the tiles cost?

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Step-by-step explanation:

for me it is best as a first step to combine this all to one big fraction, and then simplify the whole expression.

you do know that when multiplying the same variable with exponent we simply add the exponents. and she we divide the same variable with exponents, we subtract them from each other (as the overlapping exponent parts cancel each other out).

(3ac³f³)/(8a²bcf⁴) × (12ab²c)/(18ab³c²f) =

= (3×12a²b²c⁴f³)/(8×18a³b⁴c³f⁵) =

= (3×12c)/(8×18ab²f²) = 12c / (8×6ab²f²) =

= 2c / (8ab²f²) = c / (4ab²f²)

A) 144 in

is your answer. good luck

okay okay what is emoji aaaaa

Answer:

4# |  267

Step-by-step explanation:

There are  3 numbers in the 40's in the data:

42, 46 and 47.

The correct answer for this question is 30 students

Sure hope this helps you :)

Answer:

[tex] \frac{1}{64 {a}^{2} } [/tex]

Step-by-step explanation:

[tex](8 {a}^{ - 3} {)}^{ \frac{ - 2}{3} } [/tex]

[tex](8 a {)}^{ - 2} [/tex]

[tex] \frac{1}{ {8}^{2} {a}^{2} } [/tex]

[tex] \frac{1}{64 {a}^{2} } [/tex]

Answer:

19

please make this answer brainliest If I helped you!

Answer:

c=19

Step-by-step explanation:

110-91=19

129-110=19

148-129=19

4x19 = 76              (91-76=15)

            76+15 =91

5x19= 95                  ( 110-95=15)

           95+15= 110

6x19 = 114            (129-114 =15)

             114+15=129

7x19=133              (  148-133 =15)

         133+15 = 148

Answer:

Step-by-step explanation:

Answer:

y = 2x - 0.75

Step-by-step explanation:

Slope-intercept form is:

⇒ y = mx + b

m being the slope and b being the y-intercept.

The given slope and y-intercept:

⇒ Slope ⇒ 2

⇒ Y-intercept ⇒ -3/4

Plug in:

⇒  y = 2x - 0.75 (3/4)

The number of different collections of 6 books which can be taken on vacation of 11 possible books is 462.

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

Here, in the original problem, the number of book selection is6.

Of 11 possible books, one plans to take 6 with on vacation. The number of different collections of 6 books can be taken has to be found out.

Thus, the number of combination to select 6 books collection from 11 is,

[tex]^{11}C_6=\dfrac{11!}{(11-6)!6!}\\^{11}C_6=\dfrac{11\times10\times9\times8\times7\times6!}{5\times4\times3\times2\times1\times6!}\\^{11}C_6=462[/tex]

Thus, the number of different collections of 6 books which can be taken on vacation of 11 possible books is 462.

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Answer:

[tex]\huge\boxed{\bf\: 83 \: yd^{2}}[/tex]

Step-by-step explanation:

Consider rectangle ABCD.

Here,

AB = DC = 9 yd (length = l)

AD = BC = 7 yd (width = w)

Area of this rectangle:

= l * b

= 9 * 7

= 63 yd²

[tex]\rule{150pt}{2pt}[/tex]

Now, take rectangle DEGF.

Here,

DE = FG = 5 yd (length = l)

DF = EG = 4 yd (width = w)

Area of this rectangle:

= l * b

= 5 * 4

= 20 yd²

[tex]\rule{150pt}{2pt}[/tex]

Total area of the compisite figure:

= Area of rectangle ABCD + Area of rectangle DEGF

= 63 yd² + 20 yd²

= 83 yd²

[tex]\rule{150pt}{2pt}[/tex]

Step-by-step explanation:

The answer is 10 and 11

10 + 11 = 21

10 × 11 = 110

Answer:

Step-by-step explanation:

hello :

an equation for the line is : y=ax+b   when a is the slope

so : a= 3           y =3x+b

passes

through the point (-5,-9)   x=-5   y= -9  means ; -9 =3(-5)+b   so: b=6

conclusion : y=3x+6

Answer: B    because   y=0      3x+6 =0   3x =-6     x= -2

This is made easy if you know the Laplace transform pair

[tex]u(t - c) y(t - c) \mapsto e^{-cs} Y(s)[/tex]

where u(t) is the Heaviside step function and Y(s) is the Laplace transform of y(t).

We rewrite f, g, and h in terms of u :

[tex]f(x) = (x^2+2x+1) (u(x) - u(x-3)) + e^{-5x} u(x-3)[/tex]

[tex]g(x) = \sin(3x) (u(x-5) - u(x-10))[/tex]

[tex]h(x) = (u(x) - u(x-4)) + 2(u(x-4)-u(x-8)) + 3 (u(x-8)-u(x-16))[/tex]

and we also rearrange terms to get the right shift in argument:

[tex]f(x) = (x^2+2x+1) u(x) - ((x-3)^2+8(x-3)+16) u(x-3) + e^{-15} e^{-5(x-3)} u(x-3)[/tex]

[tex]g(x) = [\cos(15) \sin(3(x-5)) + \sin(15) \cos(3(x-5))] u(x-5) \\\\ ~~~~~~~~~~- [\cos(30) \sin(3(x-10)) + \sin(30) \cos(3(x-10))] u(x - 10)[/tex]

[tex]h(x) = u(x) + u(x-4) + u(x-8) - 3 u(x - 16)[/tex]

Now we can apply the known transform pair, along with

[tex]x^n \mapsto \dfrac{n!}{s^{n+1}}[/tex]

[tex]e^{ax} \mapsto \dfrac1{s-a}[/tex]

[tex]\sin(ax) \mapsto \dfrac{a}{s^2+a^2}[/tex]

[tex]\cos(ax) \mapsto \dfrac{s}{s^2+a^2}[/tex]

The transforms of f, g, and h are then

[tex]F(s) = e^{-s} \left(\dfrac2{s^3} + \dfrac2{s^2} + \dfrac1s\right) - e^{-3s} \left(\dfrac2{s^3} + \dfrac8{s^2} + \dfrac{16}s\right) + \dfrac{e^{-15} e^{-3s}}{s + 5} \\\\ = \boxed{e^{-s} \left(\dfrac2{s^3} + \dfrac2{s^2} + \dfrac1s\right) - e^{-3s} \left(\dfrac2{s^3} + \dfrac8{s^2} + \dfrac{16}s\right) + \dfrac{e^{-3(s+5)}}{s + 5}}[/tex]

[tex]G(s) = \dfrac{3\cos(15) e^{-5s}}{s^2+9} + \dfrac{s \sin(15) e^{-5s}}{s^2+9} - \dfrac{3\cos(30)e^{-10s}}{s^2+9} - \dfrac{s \sin(30) e^{-10s}}{s^2+9} \\\\ ~~~~~~~ = \dfrac{3(\cos(15)-\cos(30)) + s(\sin(15) - \sin(30))}{s^2+9} \\\\ ~~~~~~~ = \boxed{\dfrac{6\sin\left(\frac{45}2\right)\sin\left(\frac{15}2\right) - 2s \cos\left(\frac{45}2\right)\sin\left(\frac{15}2\right)}{s^2+9}}[/tex]

[tex]H(s) = \boxed{\dfrac{e^{-s} + e^{-4s} + e^{-8s} - 3 e^{-16s}}s}[/tex]

The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.

The test statistic can be calculated using the formula below

[tex]t = \frac{x-\mu}{\sigma / \sqrt{n} }[/tex]

Solving for the mean and standard deviation, we can substitute the values into the above equation which will be

[tex]t = \frac{x-\mu}{\sigma / \sqrt{n} } = 6.274[/tex]

Using the data from the test statistic, we can calculate the p-value of the data

[tex]p-value = p(z < 6.274)= 0.0001 = 0.00[/tex]

From the calculation above, the test statistic and p-value of the given data are

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A quadratic model would be the most appropriate model for the given data set.

A quadratic model can be defined as a mathematical model which represents a quadratic equation with a single variable of degree 2.

Aso, a quadratic model is mainly symmetrical because the relationship between its variables when plotted on a graph forms a parabola.

In this scenario, the value of the graph at y(1) is equal to y(2) and y(0) is approximately equal to y(3) as shown in the image attached below, which simply means it is symmetrical about this axis.

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Answer:

We need the line plot in order to solve the questions.

Step-by-step explanation:

Answer:

9 4/12

Step-by-step explanation:

Just add the mixed numbers 4 + 5 = 9

Add the fraction numerators 1 +3 = 4

*Since the denominator is the same, we just add the numerators

9 4/12

Answer:

as decimal 9.33333

Step-by-step explanation:

4 1/12 + 5 3/12 = 28/3 = 9 1/3