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The time taken by the object to hit the ground will be 9 seconds.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that an object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is

s(t) = −4.9t²+ 9.8t + 308.7

To find the time taken put the function equal to zero.

−4.9t²+ 9.8t + 308.7 = 0

t² - 2t - 63 = 0

t² - 9t + 7t - 63 = 0

t ( t - 9 ) +7 ( t - 9 ) = 0

( t - 9 ) ( t + 7 ) = 0

t = 9 and -7(ignore)

t = 9 seconds

Therefore, the time taken by the object to hit the ground will be 9 seconds.

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Answer:

y = -x - 6

Step-by-step explanation:

Slope = m = -1

Equation of line: y = mx + b

y = - x + b

Plugin x = -1 and y = -5 in above equation

-5 = -(-1) + b

-5 = 1 + b

-5 - 1 = b

b = -6

Equation of the line: y = -x - 6

Answer:

m∠1 = 75° m∠2 =45° m∠3 = 60°

Step-by-step explanation:

m∠1 = 180 - { (180 - 135) + (180 - 120) }

m∠1 = 180 - { 45 + 60 }

m∠1 = 75°

The angle between 1 and 3, lets call it x,  is vertically opposite to ∠2, so we must find it first to be able to get ∠2

Since a ║b

Therefore ∠x and ∠135 are co-interior angles

Therefore ∠x = 180-135

m∠x = 180 - 135

m∠x = 45°

∠2 = ∠x (Vertically opposite angles)

∠2 = 45°

Between ∠2 and ∠3 there is an angle, let's call it z.

∠z = ∠1 (Vertically opposite angles)

∠z = 75°

Since the sum of angles 2, z and 3 = 180° (Straight angle)

Therefore m∠3 = 180 - (∠2 + ∠z)

m∠3 = 180 - (45 + 75)

m∠3 = 60°

Or in a different way

∠2 + ∠z + ∠3 = 180

45 + 75 + ∠3 = 180

120 + ∠3 = 180

∠3 = 180 - 120

∠3 = 60°

Hope it helps

Answer:

sum of all angles of a triangle= 180°

Let angle A be x,

then 63°+90°+x=180°

x=17°

Answer:

Solution is (3, -3)

Step-by-step explanation:

To solve by graphing, you literally have to graph both lines to see where they intersect. That point of intersection is the solution to the given system.

Given the following linear equations:

y = - x   where the slope (m) = -1, and the y-intercept (b) = 0.

y = x - 6 where the slope (m) = 1, and the y-intercept (b) = -6.

Plot the intercepts (0, 0) for the first line, and (0, -6) for the second line, as a starting point, then use the given slopes (rise over run) of each line to plot the next points. Repeat the process until you have enough points to connect with and create a line.

Attached is a screenshot of the graphed systems of linear equations. It shows that the solution is (3, -3).

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Using implicit differentiation, it is found that the rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

Applying implicit differentiation, the rate of change is of:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

In this problem, we have that [tex]\frac{dr}{dt} = 0.5, r = 17[/tex], thus:

[tex]\frac{dV}{dt} = 4\pi (17)^2(0.5) = 1815.84[/tex]

The rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

A similar problem is given at https://brainly.com/question/11496075

Answer:

0.85 gallons

Step-by-step explanation:

4.675(gallons) dived by 5.5(hours). Hope it helps

Answer:

[tex]3x - 9 = 2x + 21 \\ 3x - 2x - 9 = 2x - 2x + 21 \\ x - 9 = 21 \\ x - 9 + 9 = 21 + 9 \\ x = 30[/tex]

m<DGI = 80°

[tex]3x - 9 = \\ 3(30) - 9 = \\ 90 - 9 = 81[/tex]

The measure of angle ∠DGI can be obtained by finding the solution of the equation as 81°.

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The ray GI bisects ∠DGH.

It implies that the new angles are equal in measurement.

⇒ m∠DGI = m∠IGH

⇒ 3x - 9 = 2x + 21

⇒ x = 30

Then, in order to calculate m∠DGI, plug x = 30 in  3x - 9 as,

3 × 30 - 9 = 81

Hence, the measure of angle ∠DGI is given as 81°.

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Answer:

the answer should me 1.5 grams

Step-by-step explanation:

Answer:

Yes they are rational numbers

Step-by-step explanation:

Given decimals like 0.5 and 0.3 are rational numbers because they are terminating decimals and can be written as p/q

Rational numbers are numbers which can be written in the form p/q , where p and q are integers ,q≠0, highest common factor of p and q is 1.

The decimal expansion of rational number are terminating decimal expansion or non terminating and recurring decimal expansions.

Examples of rational number: 1/2 , 3/4, 13/2, 0.125,0.5, 0.55555....,

0.1212121212.....

As the given decimals 0.5 and 0.3 have terminating decimal expansion  therefore they are rational numbers.

The rational form of 0.5 and 0.3 are

0.5 = 5/10 = 1/2

∴ 0.5 is written as p/q with p= 1 and q =2≠0 , p and q are coprime

0.3 = 3/10  

∴ 0.3 is written as  p/q with p= 3 and q =10≠0 , p and q are coprime

Therefore, 0.5 and 0.3 are rational numbers.

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oh yeah i know the answer. thats cool you need it

Answer:

The Snowplow needs to turn 44 times.

A. 112°

21x+5+37x+1=180

58x+6=180

-6

58x=174

÷58

X=3

37(3)+1

111+1

112

Step-by-step explanation:

y²=81

y²=9²

:. bases same powers equal,

y=9.

hope this helps you.

Answer:

921

Step-by-step explanation:

If he recives 3x amount than his oppenent

than we would divided by 3 from his score to find oppponets score

so....

2763 divided by 3=921

NOT CONGREUNT!! There is no axiom to prove congruent.

Answer:

It’s -4

Step-by-step explanation:

Your equation is y=-4x -3

1) 4<7

×7 ×7

28<49

×6 ×6

168<294

×3 ×3

504<882

×10 ×10

5040<8820

2) 11>-2

+5 +5

16> 3

+3 +3

19>6

+-4 +-4

15>2

3) -4<-2

-6 -6

-10<-8

-8 -8

-18<-16

-2 -2

-20<-18

4) -8<8

÷-4 ÷-4

2<-2

÷-2 ÷-2

-1< 1

5) ~The affect of the inequality sign didn't change. If you add or subtract the same positive or negative number to both sides of an inequality or an equation, the inequality stays the same. If you multiply or divide both sides of an inequality or an equation by the same positive number, the inequality stays the same. This is because when manipulating inequalities there are rules this if a < b then a + c < b + c so we get a new number that replaces a and b yet the inequality symbol stays the same so a still is smaller than b.

Hope this helped you- have a good day bro cya)

Answer:

Circumference formula is πr². while we do not have the radius, you do have the diameter, the diameter is the full length of the circle while the radius is half of the circle. So you take 14/2=7 so the new equation is π7² so you would do 7x7 to get 49, then you would do 49 x 3.14 and you'll have 153.86 Centimeters². You'll need to double check this but I hope this helped.

Answer:

C, D, E, F

Step-by-step explanation:

Remember y=mxb?

m is slope and b is y-intercept

so y=2/7x-9

Remember that slope is RISE/RUN so for every 2 squares that you go up, you go 7 squares to the right.

Also remember that since your graph is going thru your Cartiesian Plane in quadrent 4, your y value in your ordered pairs will most probably be a negative.

Please see the image to help you viualize this.

Answer:

16) 19/4

17) -1

18) equiangular

19) (n-2) x 180

20) 0,1

21) sector

22) 20

23) n(n-3)/2

24) 144

25) Raw

Answer:

Chase is correct. the first one

Step-by-step explanation:

Answer:

4/21

Step-by-step explanation:

Hope this helps

Answer:

20

Step-by-step explanation:

Assuming you are referring to the day that both teams would play on the same day, it would be the 20th.

There are two ways you can do it.

1. List out the multiples of each number

2. multiply the two days together

If you want to do it the first way it would look like this...

5 10 15 20

4 8 12 16 20

When you do it like this it shows you that the 20th day is the day they would both play together

If you want to do it the second way it would look like this...

4th day X  5th day = 20th day

Either way you solve the problem you get the same answer, this may not work for every problem like this, but it works for this particular one

Answer:

2*(n-1) represent the product of 2 and the difference of number and 1.

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Answer:

y = T(x) = 8 + (9/shirt)x

Step-by-step explanation:

Represent "total amount" by T(x).  Then:

y = T(x) = 8 + (9/shirt)x

Here the shipping cost ($8) is a fixed cost and the cost of the x shirts is ($9/shirt)(x), where x is the number of shirts bought.

Note that this is a linear equation, and that 8 represents the vertical intercept and (9/shirt) the slope of the line representing the total cost.

The equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y is y = 9x + 8.

The total amount Manuel will pay consists of the cost of the T-shirts and the shipping cost.

The cost of the T-shirts is $9 each, and the shipping cost is a flat $8.

The equation that shows the relationship between the number of T-shirts Manuel buys (x) and the total amount he will pay (y) can be written as y = 9x + 8.

Hence, y = 9x + 8 is the equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y.

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Answer:

There is a strong positive correlation

Step-by-step explanation:

The graph shows as more students study the higher the test score is.

Answer:

<ABC = 70 degrees

<AMC = 60 degrees

< AMB = 60 degrees

Step-by-step explanation:

<ABC = 180-110 = 70 degrees

<AMC = 2x + 60 = 180

2x = 180 - 60

x = 120/2

x = 60

<AMB = 180/3 = 60