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The values of t for which the rocket's height is 60 feet are t = 0.40 and t = 9.35

The function is given as:

h = 156t - 16t^2

When the height is 60 feet, we have:

156t - 16t^2 = 60

Rewrite as:

16t^2 - 156t + 60 = 0

Divide through the equation by 4

4t^2 - 39t + 15 = 0

Next, we solve the equation using a graphing calculator

From the graphing calculator, we have:

t = 0.40 and t = 9.35

Hence, the values of t for which the rocket's height is 60 feet are t = 0.40 and t = 9.35

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A model rocket is launched with an initial upward velocity of 156ft/s . The rocket's height h (in feet) after seconds is given by the following. h= 156t-16t^2

Find all values of t for which the rocket's height is 60 feet

Advance tickets: represented by x

Same-day tickets: represented by y

you can model this using a system of equations

x + y = 65

40x + 30y = 2200

then you have to get either the x or y value equivalent in both equations

40(x + y = 65)

40x + 40y = 2600

so the new equations are 40x + 40y = 2600 and 40x + 30y = 2200

then you can solve by using elimination

40x + 40y = 2600

-(40x + 30y = 2200)

10y = 400

y = 40

substitute y back into the first equation

x + 40 = 65

x = 25

Answer:

[tex]\approx 91^\circ[/tex]

Step-by-step explanation:

The given equation to represent the model for the relationship between [tex]x[/tex] and [tex]y[/tex].

[tex]y=6.88x-199[/tex]

[tex]x[/tex] represents the air temperature in degrees and

[tex]y[/tex] represents the number of visitors at a pool.

Also given that number of visitors at the pool on a particular day is 426.

To find:

The expected air temperature as per the number of visitors.

Solution:

Here, we are given a linear equation to represent the relation between two variables.

Value of one variable is given and we have to find the value of other variable.

i.e. we are given that:

[tex]y=426[/tex] and we have to find the value of [tex]x[/tex].

Let us put the value in the equation:

[tex]426=6.88x-199\\\Rightarrow 6.88x = 426 + 199\\\Rightarrow x = \dfrac{625}{6.88}\\\Rightarrow \bold{x \approx 91^\circ}[/tex]

Answer:12

Step-by-step explanation:They are adding three box for every building so is the fifth block you do it

The required result of the identity is [tex]x^{2} =-y^{2}-2x+16y-56[/tex].

To isolate the algebraic expression given below we need to simplify it and then make [tex]x^{2}[/tex] the subject of the equation,

For that we must know the identity [tex](a+b)^{2}=a^{2}+2ab+b^{2}[/tex].

We will break the given equation on the basis of the given identity.

Now, [tex](x+1)^{2} +(y-8)^{2}=9\\[/tex]

     ⇒[tex]x^{2} +2x+1+y^{2}-16y+64=9\\[/tex]

     ⇒ [tex]x^{2} =-y^{2}-2x+16y-56[/tex]

So, the required result of isolating the above given equation is as above.

The correct answer is option B.

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Answer:

63.5 Dollars

Step-by-step explanation:

100 - 14 = 86 - 22.5 = 63.5 :D

Answer:irdk im aorry i wish i could help because im in the same boat.

Step-by-step explanation:

Answer:

The very last one is the correct answer.

Step-by-step explanation:

1 * 3 = 3

6 * 3 = 18

Do this for the other ones and you will get it right.

Answer:

A)

Step-by-step explanation:

The correct expression which represents ''3 less than 5 times a number'' would be,

A) 5n - 3

Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that,

A mathematical expression is,

''3 less than 5 times a number''

Let us assume that,

A number = x

Hence, the expression to represent ''3 less than 5 times a number'' is,

⇒ (5 × n) - 3

⇒ 5n - 3

So, the correct option is,

A) 5n - 3

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Answer:

Radius = 1 in.

Step-by-step explanation:

Let the radius be 'r'. Diameter = 2r

Perimeter of a semicircle = Circumference of semi circle + Diameter

[tex]=>\pi r + 2r = 5.14 in.[/tex] (Let the value of π be 3.14)

[tex]=> 3.14r + 2r = 5.14in.\\=>5.14r=5.14\\=>r =\frac{5.14}{5.14} =1in.[/tex]

Answer:

3 times x plus seven

Step-by-step explanation:

k

Answer:

second option

Step-by-step explanation:

Step-by-step explanation:

The given equation is : 3x-2(x+3)=4(x-2)-73x−2(x+3)=4(x−2)−7

On solving this equation and applying the distributive property, we have

⇒3x-2x-6=4x-8-73x−2x−6=4x−8−7

⇒x-6=4x-15x−6=4x−15

Combining the like terms like terms consisting of x are solved together and the constants are solved together,

⇒x-4x=-15+6x−4x=−15+6

⇒-3x=-9−3x=−9

⇒x=3x=3

Answer:

The answer is A. i just guessed and got it right

Step-by-step explanation:

correct on edge 2020

Answer:

I believe C.

Explanation:

I am pretty sure it's C but I don't really see it too well so I can't read the top two the best.

Answer:

The most likely answer is A, with it increasing 1 by 1, which correlates with the bowl to minute ratio.

The graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

A manufacturer can produce 1 plastic bowl in 1 minute

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

From the data given the equation can be framed:

The proportional relationship will be:

y ∝ x

y = kx

x = 1 y = 1

k = 1

y = x

Thus, the graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.

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Answer:

The square of m reduced by 32

m^2 - 32

The product of 5 and r, and then increased by k

5r + k

A number x in tripled and then decreased by 10

3x - 10

8 reduced by the sum of x and y

8 - (x + y)

4 more than the product of 8 and n

8n + 4

6 less than the sum of 9 and d

(9 + d) - 6

Eighty less than four times a number

4x - 80

Yvonne (y) runs three times as fast as Xavier (x). What is an algebraic translation of this?  

y = 3x

n divided by 5

n/5

a takeaway 19

a - 19

Step-by-step explanation:

[tex] - 9 \div 27 \\ = \frac{ - 9}{27} \\ = \frac{ - 1}{3} [/tex]

the correct sign for the quotient as indicated is negative.

Answer:

PLEASE BE CAREFUL NightmareMech14 IS A PREDATOR HE ASKS FOR VIDEOS OF GIRLS AND TRYS TO GET THEM TO EMAIL HIM DONT GIVE HIM ANY INFORMATION STAY SAFE COPY AND PASTE THIS EVERYWHERE

Step-by-step explanation:

Answer:

129

Step-by-step explanation:

the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129

Answer:

1:3:5

20:60:100

Step-by-step explanation:

angles in a triangle add up to 180

so we add 1,3 and 5 to get 9

to find out how much 1 part is worth we do 180÷9 to get 20

so 1 part=20

so we we do:

20x1=20

20x3=60

20x5=100

Answer:

30:60:100

Step-by-step explanation:

angles of triangle =180°

sum of ratios

1+3+5=9

finding for the first one which is one

1/9×180°=20°

finding for the second one which is three

3/9×180°=60°

finding for the third one which is five

5/9×180=100°

adding all the angles

20°+60°+100°=180°

Answer:

Veronica will have $310.04 at the end of first five years.

Step-by-step explanation:

Principal Amount P = $230

Interest Rate r = 6%

Time t = 5 years

Compounded monthly n = 12

We need to find the future amount (A)

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=230(1+\frac{0.06}{12})^{5*12}\\A=230(1+0.005)^{60}\\A=230(1.005)^{60}\\A=230(1.348)\\A=310.04[/tex]

So, Veronica will have $310.04 at the end of first five years.

Answer:

C. x - y = 0

Step-by-step explanation:

First find write the equation in slope-intercept form, then rewrite to convert to standard form as Ax + By = C.

Equation in Slope-intercept form:

Find m and b

m = rise/run = 1/1 = 1

b = y-intercept = 0 (where the line intercepts the y-axis)

Substitute m = 1, and b = 0 into y = mx + b

Thus:

y = (1)(x) + 0

y = x

Rewrite to convert to standard form.

Thus, the equation in standard form would be:

x - y = 0

Answer:

$11.84

Step-by-step explanation:

$1.48 x 8 = $11.84

Answer:

first collect the like terms:

2w- 7w -g+ 3g

Then subtract 2w with 7w

2w-7w=-5w

after you also subtract negative g with 3g

-g+3g= 2g

which makes the answer 5w + 2g

Answer:

YOU CAN DO THIS ONE OF 1 OF 2 WAYS....

650 X .48= 312

650 X .44=286

312+286=598

650-598=52

OR FIGURE IT THIS WAY

.48+.44=.92

650 x .92= 598

650-598=52

The main span of Bridge A (2700 feet) is 37. 2 % percent shorter than the main span of Bridge B (4300 feet).

It is providing main span of Bridge A is at a 2700 feet and therefore the main span of Bridge B is at a 4300 feet.

Step 1: realize the distinction between the 2 numbers.

                4300 - 2700 = 1600

Step 3: Take the magnitude relation of the distinction given by

                    1600 / 4300

Step 4: Multiply the fraction obtained by a hundred and modify your answer.           1600 / 4300 ×100

Percentage difference in span length :

= [(difference in span) / span of B] × 100%

 =    ( 1600 / 4300) ×100

 =  37. 2 %

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Answer:

3

Step-by-step explanation:

Left = 100% - 75% = 25%

No. of pizza slices left = 12 × 25%

                                     = 12 × [tex]\frac{25}{100}[/tex]

                                     = 3

Answer:

bdef

Step-by-step explanation:

Answer:

b= brains b= dad e= end f= fun

Step-by-step explanation: