What steps do I need to take to solve the last part of this equation and how do I solve them using the quadratic formula?

The least value of the function at which the pendulum is in the center is 0 and the position of the pendulum when t = 4.25 sec. is 4.24

The function is given as:

y = 6cos(πt)

See attachment for the graph of the function

The value of t is given as: -0.5

From the attached graph, the smallest value of the function when t = -0.5 is 0.

Hence, the least value of the function at which the pendulum is in the center is 0.

We have:

y = 6cos(πt)

Substitute 4.25 for t

y = 6cos(4.25π)

Evaluate

y = 4.24

Hence, the position of the pendulum when t = 4.25 sec. is 4.24

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Read more about cosine function at:

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Answer:

t = 6

next one is 5

Step-by-step explanation:

~Hope this helps! :)

Answer:

You can set two simultaneous equations and solve it

Let the cost of a plate be x, and the cost of a cup be y.

5x + 4y = 19.6 --- 1

6x + 5y = 23.8 --- 2

25x + 20y = 98 --- 3

24x + 20y = 95.2 --- 4

3 - 4 : x = 2.8

Sub x = 2.8 into 1

5(2.8) + 4y = 19.6

4y = 5.6

y = 1.4

so 1 plate costs 2.8 dollars and 1 cup costs 1.4 dollars

hope this helps!!! please mark brainliest!!!!

The hexagon surface area is the amount of space on it

The surface area of the hexagon is 665.11 square centimeters

The question is incomplete, as the diagram is not given.

So, I will calculate the surface area of the hexagon.

The side length of the hexagon is given as:

L = 16 km

The surface area of the hexagon is calculated using:

A = 1.5[tex]\sqrt3[/tex]L^2

This gives

A = 1.5 * [tex]\sqrt3[/tex] * 16^2

Evaluate the product

A = 665.11

Hence, the surface area of the hexagon is 665.11 square centimeters

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Answer:

825km

Step-by-step explanation:

150km/h= distance/11/2 hours

150km/h divide by 11/2 hours

=825km

Answer:

825km

Step-by-step explanation:

We have the rule: speed=distance/time

in this question you are asked to calculate the distance covered by the machine boat.

so we deduce from the above rule: distance=speed*time

Given: speed=150km/hr    time=5.5hr   distance=??

Solution: distance=150x5.5 = 825km

The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.

This means that any two sides or two angles of a scalene triangle must not be equal.

Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

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Answer:

c
4.2 would mean a 420% chance of something happening which doesnt make sense

The number 4.2 cannot represent the probability of an event because it is greater than one.

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of an event must be less than or equal to one.

So 0.888 can represent the probability of an event because it is a non-negative number that is less than or equal to one.

0, cannot represent the probability of an event because it is a non-negative number but it is not less than or equal to one. This number represents an impossible event.

4.2, cannot represent the probability of an event because is greater than one which means it represents an event that is certain to occur, which is not a probability.

0.39, can represent the probability of an event because it is a non-negative number that is less than or equal to one.

Therefore, the number 4.2 cannot represent the probability of an event because it is greater than one.

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Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Let x = cube root of 400

Using a calculator x = 7.368 to 3 decimal places

So: 7 < x < 8

Answer:

yes it can

.........................................

Answer:

Yes

Step-by-step explanation:

A linear function is a straight line and when we graph x=2 the line goes straight through x=2

Answer:

1 mile = 8.5 minutes

Step-by-step explanation:

Determining the equation:

Kira ran 8 1/5 miles in 69 7/10 minutes.

⇒ Kira = 8 1/5 miles = 69 7/10 minutes

⇒ 41/5 miles = 697/10 minutes

Simplifying both sides:

⇒ 41/5 miles = 697/10 minutes

⇒ 41 miles = 697/2 minutes

Using cross multiplication:

⇒ 41 × 2 miles = 697 minutes

⇒ 82 miles = 697 minutes

Dividing 82 both sides:

⇒ 82 miles = 697 minutes

⇒ 82/82 miles = 697/82 minutes

⇒ 1 mile = 8.5 minutes

Solution:

D. y = –0.5x + 5

In this chart, the slope, (m):

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\hookrightarrow \sf \frac{-6-0}{-2-0}[/tex]

[tex]\hookrightarrow \sf \frac{-6}{-2}[/tex]

[tex]\hookrightarrow \sf 3[/tex]

Equation:

[tex]\sf y_1-y= m(x_1-x)[/tex]

[tex]\hookrightarrow \sf y-(-6)= 3(x-(-2))[/tex]

[tex]\hookrightarrow \sf y+6= 3x+6[/tex]

[tex]\hookrightarrow \sf y+6-6= 3x+6-6[/tex]

[tex]\hookrightarrow \sf y= 3x[/tex]  

⇒ Thus we found in the chart, the slope is 3 and y-intercept : 0

From this D only has the greatest y-intercept than the chart.

Answer:

D

Step-by-step explanation:

Sorry if I'm late for the party, hope this helps anyways! :)

Answer:

862 m (nearest whole number)

Step-by-step explanation:

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

where:

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

If the mountain is losing elevation at a rate of 5% every millennium , then it as every millennium passes, it will be 95% of the height it was in the previous millennium (as 100% - 5% = 95%)

Given:

Substituting these values into the formula:

[tex]\sf \implies y=1300(0.95)^8[/tex]

[tex]\sf \implies y=862.4467607...[/tex]

[tex]\sf \implies y=862 \ m \ (nearest \ whole \ number)[/tex]

Answer:

9.4

Step-by-step explanation:

(rectangle) shape 1: perimeter of rctangle= 2(l b)

=7

(semicircle)shape 2:perimeter of semicirlce=½ñd+d(ñ=pie)

0.5×ñ×1.4+1.4=3.6

add them

7+3.6=10.6

i hope i was helpful

please consider as brainlest

First, add 3 to both sides:-

[tex]\sf{8p=13+3}[/tex]

[tex]\sf{8p=16}[/tex]

Now, divide both sides by 8:-

[tex]\bigstar{\boxed{\pmb{p=2}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

"mix 1 cup of vinegar with 1 gallon of water"

1 cup = 8oz; 1/4 cup = 2oz

You can see that the amount of vinegar is 1/4 of the original amount,

so, we will need 1/4 of the amount of water, which is 1gallon = 128oz

so, 1/4 times 128oz = 32oz, which is one quart

Algebraically, 8oz : 128oz = 2oz : x

8x = 256; x = 32oz

Answer: -8

Step-by-step explanation:

Answer:

The height is 15.992 in

Step-by-step explanation:

1. The equation for a cylinder is [tex]V=\pi r^2h[/tex].  In this case, the equation looks like [tex]615.44=\pi (3.5)^2h[/tex]

2. Isolate h by dividing both sides of the equation by [tex]\pi (3.5)^2[/tex]

3. This leaves us with [tex]\frac{615.44}{\pi (3.5)^2}=h[/tex]

4. Solve for the left side, which leaves us with h = 15.992 (rounded to the nearest thousandth)

Answer:

3(4+5)=3(4)+3(5)

Hope it helps

Step-by-step explanation:

Answer:

g inverse = (1,a),(2,b),(c,3),(4,d)

Step-by-step explanation:

I think the third part of the question should be (c,3) not (2,3)

if it's (2,3) then the inverse becomes (3,2)

Answer:

Inverse of function g = {(1,a),(2,b),(3,2),(4,d)}

Step-by-step explanation:

Hey there! :)

Please see an explanation below for better understanding to the answer - also let me know if you have any questions!

Inverse Function is a function that swaps domain and range.

Domain is the set of all x-values while Range is the set of all y-values, can be defined in coordinate point as (x,y).

If (x,y) is an original function then (y,x) will be an inverse function of original.

We are given the function g = {(a,1),(b,2),(2,3),(d,4)} - swap the domain and range.

Therefore, the inverse of function g is [tex]\displaystyle \large{g^{-1}}[/tex] = {(1,a),(2,b),(3,2),(4,d)}

Answer: equation would be 15x+42>7

Step-by-step explanation: first subtract 42 from 7, you would get -35, then divide -35 by 15, which gets you -2.3, meaning your answer is x>-2.3

Answer:

3.38 cm^3

Step-by-step explanation:

volume of cylinder = pi r^2 h

    10.14 / pi  = r^2 h

volume of a cone =  1/3  pi r^2  h

     V  = 1/3 pi  (10.14/pi)   = 3.38

Answer:

5/8 is smaller.

Step-by-step explanation:

A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777

Then to compare them you see which is smaller or bigger.

0.77777  is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.

Steps:-

[tex]\\ \rm\rightarrowtail 5:8::7;9[/tex]

[tex]\\ \rm\rightarrowtail 5/8:7/9[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{5(9)}{8(9)}:\dfrac{7(8)}{9(8)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{45}{72}:\dfrac{56}{72}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{45}{56}[/tex]

Answer:

227994

Step-by-step explanation:

Answer:

value x value = product

237 x 962 = product = 227,994

Step-by-step explanation:

hope this helps,

Answer: 86 degrees

Step-by-step explanation:

Answer:

9 meters

Step-by-step explanation:

just find the square root of 81 and it gives you the number 9