Need help on #9 and #10 please ASAP. Was busy with a family emergency and missed my class on this.

Answer:

3.0 seconds

Step-by-step explanation:

i took the test.

The time it takes the rock to reach 50 feet on its way down is 13.2 seconds and option B is the correct answer.

We have,

We are given the equation for the height of the rock as it travels upward and then downward:

h = -1672 + 63.2t - 4.9t²

We want to find the time it takes for the rock to reach a height of 50 feet on its way down.

This means we need to solve for t when h = 50:

50 = -1672 + 63.2t - 4.9t²

Rearrange the equation to isolate the quadratic term:

4.9t² - 63.2t + (1672 + 50) = 0

4.9t² - 63.2t + 1722 = 0

For an equation of the form "ax² + bx + c = 0", the solutions for "x" are given by:

x = (-b ± √(b² - 4ac)) / 2a

In your equation, the coefficients are:

a = 4.9

b = -63.2

c = 1722

Plugging these values into the quadratic formula:

t = (-(-63.2) ± √((-63.2)² - 4 * 4.9 * 1722)) / (2 * 4.9)

Now, let's calculate the discriminant (the value inside the square root):

Discriminant = (-63.2)² - 4 * 4.9 * 1722 ≈ 39884.96 - 33529.6 ≈ 6355.36

Since the discriminant is positive, there are two distinct real solutions for "t".

Now, plug the discriminant back into the quadratic formula and solve for "t":

t = (63.2 ± √6355.36) / 9.8

Now, calculate the square root of the discriminant:

√6355.36 ≈ 79.58

Now, plug in the values for "t":

t₁ = (63.2 + 79.58) / 9.8 ≈ 13.02

t₂ = (63.2 - 79.58) / 9.8 ≈ -1.69

So, the solutions for the equation 4.9t² - 63.2t + 1722 = 0 are approximately:

t₁ ≈ 14.61

t₂ ≈ -1.69 (rejected)

Thus,

The time it takes the rock to reach 50 feet on its way down is B. 13.2 seconds.

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Answer:

first one

Step-by-step explanation: doesnt mention the number 8 variable anywhere

Answer:

A. 3r=5(r-30)

Step-by-step explanation:

on edge :)

Answer:

18/3=6

Step-by-step explanation:

3 can be made out of 18 6 times

Here we have $400 originally and it is invested at an interest rate of 0.015 for 4 years.

Therefore we can say that the interest rate is 0.015 * 4 * 100 = 6% for the 4 years.

Simple interest is 6% / 4 = 1.5%.

And the principal is $400.

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Answer:

UMMMMMMMM>....<

Step-by-step explanation:

Answer:

1(79 x 36)

Step-by-step explanation:

Answer:

8)61.5 9)42.1

Step-by-step explanation:

8)61.5

area of square 10×10=100

circle=pie r^2

3.5^2×pie

=38.5

100-38.5=61.5

9)14×14=196

14/2=7

7=radius

pie×7^2

=153.9/2(because circle is half)

=76.95

76.95×2

=153.9

=196-153.9

42.1

MARK IT BRAINLIEST

19+80=180

99=180

180_99

81

Answer:

[tex]x = \frac{1}{4} z - \frac{1}{4} y[/tex]

Step-by-step explanation:

4x + y = z

4x = z - y

x = 1/4z - 1/4y

Domain: All real numbers or (-infinity, infinity)

Range: [-8, infinity)

Answer:

3:7

Step-by-step explanation:

The number of triangles is 6.

The number of squares is 8.

The total number of shapes is 14.

The unsimplified ratio of triangles to total shapes is 6:14.

The bigger number that both 6 and 14 can be divided by is 3.

That makes the ratio 3:7, and it cannot be simplified further.

Answer:

$2.14 per gal.

Step-by-step explanation:

32.05/15 = 2.137 per gal

Answer:

(- 12 , 2)

Step-by-step explanation:

f(x) -> f(kx)    |k| = |-3/4| = |- 0.75| = 0.75

0 < 0.75 < 1 , It's a horizontal stretch, (x,y) -> (x/k , y)

(9 , 2) -> (9 / (-3/4) , 2) -> (- 12 , 2)

The rate of inflation between year 1 and year 2, based on the CPI, is  c. 33.33%.

The Consumer Price Index (CPI) allows us to calculate inflation. To find the inflation across these years, use the formula:

= (CPI₂ - CPI₁) / CPI₁ x 100%

Solving gives us:

= (200 - 150) / 150 x 100%

= 33.3%

In conclusion, the inflation is 33.3%.

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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The quotient will be :

Remainder :

Solution is in attachment ~

Answer:

[tex]1828 \div 56 \\ = 32[/tex]

[tex]remainder = 36[/tex]

Please refer the attachment for step by step explanation

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

Quadratic equation in vertex form: y = 2(x + 3)²+ 0

Step-by-step explanation:

The vertex form of a quadratic equation is:

y = a (x - h)² + k  where:

The value of a determines that the graph opens up or down.  If a is positive, the graph opens up. The value of a also makes the parent function wider or narrower.  

The vertex of the given parabola occurs at point (h, k) where the parabola intersects the axis of symmetry, x = h. It is also determines whether it is either the maximum or minimum point on the graph.

The quadratic equation of the graph in vertex form is: y = 2(x + 3)²+ 0

where:

a = 2

vertex (minimum point) = (-3, 0)

axis of symmetry: x = -3

Please mark my answers as the Brainliest if you find my explanations helpful :)

[tex]6x {}^{3} - 15x {}^{2} - 9x \\ 3x(2x {}^{2} - 5x - 3) \\ 3x( 2x {}^{2} + x - 6x - 3) \\ 3x(x(2x + 1) - 3(2x - 1) \\ (2x + 1)[/tex]

Answer:

the correct answer is D on edge 2020 for me.

Step-by-step explanation:

Answer:

The  tenths place

4 is in the tenths place of 7.486

Step-by-step explanation:

Answer:

Step-by-step explanation: NO SE INGLES

Answer:

1. y = 3x - 1

2. y = -3x

3. y = 2x + 4

4. y = 2.5x - 4

5. y = 4x

6. y = -3/4x -0.25

7. uhhh two lines  since one definitlye doesn’t work

Step-by-step explanation: I couldn’t add more than 5 pics it’s the limit sadly.

Answer:

Line A is represented by the function f(x) = 2x + 1.

Step-by-step explanation:

Answer:

yz√5xy

Step-by-step explanation:

hope this helps

Answer:

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

so answer is

[tex]a) \: \: \frac{25}{100} [/tex]

Answer:

r=1

Step-by-step explanation:

[tex]-11r+8-8=10r-13-8\\\\-11r=10r-21\\-11r-10r=10r-21-10r\\-21r=-21\\\frac{-21r}{-21}=\frac{-21}{-21}\\r=1[/tex]

Answer: its the same amount

Step-by-step explanation:

Answer:

D. a vertical shift of 2 and a phase shift of pie/ 2

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

first we work out product of set b

6(m-4) = 6m -24

then reshow

-28+6m = 6m-24-4

-28 +6m -6m = 24-4

-28 =28

= 0

y= k x

c= k p

1.12 = k(3.5)

0.32 = k

y = 0.32x or c = 0.32p

y = 0.32x

y = 0.32(4.25)

y = $1.36