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3 years ago

How do I do numbers 12 to 14?

Mathematics

1 answer:

NARA [144]3 years ago

8 0

Answer:

12. 1 second, 35 ft; 2 seconds, 32 ft

13. (t, y) = (1.4 seconds, 37.6 feet)

14. 37.6 ft; the vertex is the highest point

Step-by-step explanation:

12. You have properly answered question 12.

After 1 second, the height is 35 feet; after 2 seconds, it is 32 feet.

13. My method of choice is to plot the graph on a graphing calculator and let it show me the coordinates of the vertex when I highlight that point. (See attached.) The vertex is ...

(t, y) = (1.4, 37.6)

14. The graph is a graph of height when the object is launched with a vertical velocity of 45 ft/s. So, the maximum of the graph will correspond to the maximum height of the object. The vertex is that maximum point, and its y-coordinate is that maximum height.

The maximum height is 37.6 feet.

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Let me know the answer plz

Gala2k [10]

Answer:

The correct answer option is H. 4374.

Step-by-step explanation:

We are given the following geometric sequence and we are to find its 8th term:

$\frac{2}{9}, \frac{2}{3}, 2,...$

Here $a_1=\frac{2}{9}$ and common ratio $(r) = \frac{\frac{2}{3} }{\frac{2}{9} } =3$ .

The formula we will use to find the 10th term is:

nth term = $a_1 \times r^{(n-1)}$

Substituting the values in the formula to get:

10th term = $\frac{2}{9} \times 3^{(10-1)}$

10th term = 4374

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2 years ago

(6x2 - 2x) + (5x-7)

Black_prince [1.1K]

Answer:

D. 6x2 + 3x - 7

Step-by-step explanation:

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2 years ago

2(-3n-5)-5(4n-8) Simplify

Mnenie [13.5K]

2(-3n-5)-5(4n-8)
(-6n-10)+(-20n+40)
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7 0

3 years ago

Read 2 more answers

if PQ || RS and the slope of PQ= x-1/4 and the slope of RS is 3/8 then find the value of x justify algebraically and numerically

Artemon [7]

The value of x is 5/8.

Step-by-step explanation:

Given,

The lines PQ and RS are parallel to each other.
slope of PQ= x-1/4
slope of RS = 3/8

The slopes of parallel lines are equal.

slope of PQ = slope of RS

⇒ x-1/4 = 3/8

⇒ (4x-1)/4 = 3/8

⇒ 8(4x-1) = 4(3)

⇒ 32x-8 = 12

⇒ 32x = 20

x = 20/32

x = 5/8

5 0

3 years ago

5. Priya mixes 2..5 cups of water with 1/3 cup or orange juice concentrate. Diego mixes 1 2/3 cups of water with 1/4 cup or oran

Snowcat [4.5K]

Priya needs 13⅓ cups of orange juice

Diego 15 cups

Step-by-step explanation:

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

Priya

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

Cup of water = 2½

Cup of orange = ⅓

If 2½ cups of water requires ½ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

2½ : ⅓ = 100 : x

5/2 : 1/3 = 100 : x ------------------Convert ratio sign to division

5/2 ÷⅓ = 100/x

5/2 * 3 = 100/x

15/2 = 100/x ---------------Multiply both sides by x

15/2 * x = 100/x * x

15x/2 = 100 ------------------ Multiply both sides by 2

2 * 15x/2 = 2 * 100

15x = 200 --------------- Divide both sides by 15

x = 200/15

x = 13⅓

So, 13⅓ cups of orange is needed by Priya

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

Diego

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

Cup of water = 1⅔

Cup of orange = ¼

If 1⅔ cups of water requires ¼ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

1⅔:¼ = 100:x

5/3 : ¼ = 100:x

5/3 ÷¼ = 100 ÷ x

5/3 * 4/1 = 100 ÷ x

20/3 =100/x----------------------- Multiply x to both sides

20/3 * x = 100/x * x

20x/3 = 100 ------------------------ Multiply 3 to sides by 3

3 * 20x/3 = 100 * 3

20x = 300 ------------- Divide both sides by 2

20x/20 = 300/20

x = 15

So, 15 cups of orange is needed by Diego

6 0

3 years ago