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3 years ago

PLEASE HELP!!!! I’m about to rip my hair out over this.

Mathematics

1 answer:

Nina [5.8K]3 years ago

5 0

Step-by-step explanation:

1. The equation graph is a parabola, so the maximum height will be the vertex of the parabola. You can find the vertex coordinate t using the formula:

t = -b/2a

t = -18/2•(-4.9)

t = -18/-9.8

t = 1.84 seconds

2. The height of the ground is 0, so the balls hit the ground when the equation result is 0:

0 = -4.9t²+18t+10

Now you solve it using Bhaskara:

Δ = b² -4ac

Δ = 18² -4•(-4.9)•10

Δ = 520

t = (-b ±√Δ)/2a

t = (-18 ± √520)/2•(-4.9)

t1 = (-18 - 20.8)/-9.8

t1 = 3.96 seconds

t2 = (-18 +20.8)/-9.8

t2 = -0.28

Doesn't exist negative time, so we pick the first value found, t = 3.96 seconds

3. Now you just need to put 3 in place of t to find the result:

h = -4.9•3² +18•3 +10

h = -4.9•9 + 54 + 10

h = -44.1 + 64

h = 19.9 meters

4. You just need to put 1 in place of t to find the height:

h = -4.9•1²+12

h = -4.9+12

h = 7.1 meters

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Two angles are supplementary. The measure of one angle is 4 times the measure of the other angle. What is the measure of the sma

Alexus [3.1K]

ANSWER

The smaller angle is

$y = 36 \degree$

.EXPLANATION

Let the angles be
$x \: and \: \: y$

where y is the smaller angle.
Since they are supplementary, they will add up to 180°.

This implies that,

$x + y = 180 \degree...(1)$

If one angle is 4 times the other, we can then write the following equation,

$x = 4y...(2)$

We put equation (2) into equation (1) to get,

$4y + y = 180 \degree$

$5y = 180 \degree$

We divide through by 5 to obtain,

$y = 36 \degree$

This implies that,

$x = 4(36)$

$x = 144 \degree$

3 0

3 years ago

2) Marion deposited $12,000 into her saving account for 10 years with simple annual interest rate of 5%. Cameron deposited $12,0

morpeh [17]

Answer:

Marion’s account will have $237 more at the end of 10 years

Step-by-step explanation:

Firstly, we calculate the amount that will be in Marion’s account after 10 years.

To calculate this, we use the formula for simple interest

I = PRT/100

where I is the interest accrued for the period of years

P is the amount deposited = $12,000

R is the rate = 5%

T is the time which is 10 years

Plugging these values into the equation

I = (12,000 * 5 * 10)/100 = $6,000

The amount after 10 years is thus the sum of the amount deposited and the interest accured = $12,000 + $6,000 = $18,000

Now for Cameron, we use the compound interest formula

A = P(1+r/n)^nt

Where A is the amount in the account after the number of years

P is the amount deposited = $12,000

r is the interest rate = 4% = 4/100 = 0.04

n is the number of times per year the interest is compounded. Since it is annually, n = 1

t is the time which is 10 years

We plug these values and we have;

A = 12,000(1 + 0.04/1)^(1 * 10)

A = 12,000 (1.04)^10

A = $17,763 ( to the nearest whole dollars)

Since 18,000 is greater than 17,763, the amount in Marion’s account will be greater at an amount of (18,000 - 17,763) = $237

6 0

3 years ago

Please Help! My question is in the picture.

Varvara68 [4.7K]

First we need to determine the type of progression in the question.
That's geometric progression. Because the pattern from one sequence to the others are about multiplying.

Second, determine the ratio of the progression
r = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4

Third, determine the formula to know the recursive rule
a₂ = a × 1/4
a₂ = 1/4 × a
$a_{n} = \frac{1}{4} a_{(n-1)}$

Fourth, determine a₁. a₁ is the first term of the progression
a₁ = 2

Final answer:
Recursive rule
$a_{n} = \frac{1}{4} a_{(n-1)}$
a₁ = 2

4 0

3 years ago

HELPPP DUE IN A COUPLE MIN MARKING BRAINLIEST ANSWER ASAP

ankoles [38]

Answer: See explanation

Step-by-step explanation:

15.) -7x + 6 (x - 8/2) - 2(x + 3) + 10

-7x + 6 (x - 4) - 2(x + 3) + 10

-7x + 6x - 24 - 2x - 6 + 10

Bring like terms together

-7x + 6x - 2x - 24 - 6 + 10

-3x - 20

16.) B, C, D

B. 3 (x + 2) + 4x

3x + 6 + 4x = 7x + 6

C. -2 + 4(x + 3)

-2 + 4x + 12 = 4x + 10

D. 3x + 5(x - 1)

3x + 5x - 5

8x - 5

17.) A, B, D

A. 1/5(x - 50)

1/5x - 10

B. 1/6(-x + 12)

-1/6x + 2

D. 1/2(x + 16)

1/2x + 8

4 0

2 years ago

Draw the graphs of the lines below on the same grid to find the coordinates of the point of

Amanda [17]

Answer:

(2,2) is the solution of the given lines.

Step-by-step explanation:

Given that,

y = x ..(1)

y = 3x-4 ...(2)

We need to find the coordinates of the point of intersection.

From equation (1) and (2).

x=3x-4

4 = 3x-x

4 = 2x

x = 2

Also,

y = 2

<h3>Hence, the coordinates of the point of intersection is (2,2).</h3>

3 0

2 years ago