Use the graph to answer questions 9 and 10.
Andy is standing on the balcony of his third-story
apartment building. He throws his parachute army figure
in the air. The height of the army figure over time can be
written as a function, h(t), where h(t) is the height in
meters and t is the time elapsed in seconds. The function.
h(t) is graphed below.
25
METERS
20
15
10
5
1 2 3 4 5 6 7 8
SECONDS
9. What is the value of h(1.5)?
10. Describe in words what h(8)
represents.

Answer:

30° and 150°

Step-by-step explanation:

supplementary means that the sum of the measures = 180

let's say 1 angle is labled ∠A and the other ∠B

m∠A + m∠B = 180°

however, m∠A = 5 * m∠B

so, by substituting that:

5*m∠B + m∠B = 180°

6*m∠B = 180°

m∠B = 30°

m∠A = 150°

Answer:

1 cake 6 slice

Step-by-step explanation:

just divide

12/2=6

Answer:

5.5

Step-by-step explanation:

8.5-5=3.5

so you need to add 3.5 to the amount of white paint.

2+3.5 is 5.5

The answer is 5.5

Certain types of songs tend to have a call-and-response structure because A. It can have many different sections

A call and response in music is a series of two independent phrases that are typically composed in separate portions of the piece, with the second phrase being heard as a direct remark or answer to the first.

Direct imitation between instruments, a questioning phrase and subsequent response, a statement of affirmation from one instrument to another, or variations on a direct call by a group of instruments are examples of call and response.

Therefore, certain types of songs tend to have a call-and-response structure because it can have many different sections

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Answer:

Since figure is not given, assume drawing a rectangle and label it from left top to right top as A and B. Similarly label it as C and D from bottom left to right. Draw a semicircle starting from C to D inside the rectangle.

You are asked to find area of shaded region which I assume is semicircular part.  

Area of a circle is determined by    Pi × r ^2

r is the radius of circle which is half of diameter. The diameter of circle is same as width of rectangle. So radius = 7/2 = 3.5 mm And area of shaded region is

                         1/2(Pi×r^2) = 1/2(3.14×3.5^2) = 19.2325 sq mm

Step-by-step explanation:

Based on the calculations on the given expressions, the correct answers are as follows:

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

When x = 6, we have:

Expression = 9 + x + 5 - 20

Expression = 9 + 6 + 5 - 20

Expression = 15 - 20

Expression = -5.

Quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.

The quotient of 60 and 12:

Quotient = 60/12

x/12 = 4

Cross-multiplying, we have:

x = 12 × 4

x = 48.

1/20 + 3/5 =

Lowest common multiple (LCM) = 20;

(1 + 12)/20 = 13/20.

Factors of 64 = 1, 2, 4, 6, 8, 16, and 32

Prime factorization of 64 = 2 × 2 × 2 × 2 × 2 × 2 = 2⁶.

Factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors refers to numbers which can be multiplied together to get another number.

Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, and 100.

In order to calculate the number of boxes that Doritos can buy, we would apply direct proportion:

1 box = $8

X box = $40

Cross-multiplying, we have:

8X = 40

X = 40/8

X = 5 bags.

Number of bags = 5 bags.

In order to simplify this expression, we would apply the PEMDAS rule, where operations within the parenthesis are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the operations of addition or subtraction would be performed from left to right.

Expression = 100 + 2(25 - 5²)

Expression = 100 + 2(25 - 25)

Expression = 100 + 2(0)

Expression = 100.

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Answer:

hjgkulihjoj;l

Step-by-step explanation:

The determination of the net income for each of the following separate situations is as follows:

                      Situation A     Situation B      Situation C

Net income     $21,800          $2,400           $31,400

                    Beginning of year        End of year

Total assets     $ 53,200                  $ 84,000

Total liabilities $ 23,600                  $ 36,600

Situation A:

Common Stock issued = $4,600

Dividend paid = $8,600

                    Beginning of year        End of year

Total assets     $ 53,200                  $ 84,000

Total liabilities $ 23,600                  $ 36,600

Equity               $29,600                    $47,400

Common Stock issued                          4,600

Dividend paid                                       (8,600)

Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)

$21,800 ($47,400 - $29,600 - 4,600 + 8,600)

Common Stock issued = $15,400

                    Beginning of year        End of year

Total assets     $ 53,200                  $ 84,000

Total liabilities $ 23,600                  $ 36,600

Equity               $29,600                    $47,400

Common Stock issued                        15,400

Dividend paid                                      

Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)

$2,400 ($47,400 - $29,600 - 15,400)

Dividends paid = $13,600

                    Beginning of year        End of year

Total assets     $ 53,200                  $ 84,000

Total liabilities $ 23,600                  $ 36,600

Equity               $29,600                    $47,400

Common Stock issued                        

Dividend paid                                    $13,600

Net Income = Ending Equity - Beginning Equity - Additional stock + Dividend Paid)

$31,400 ($47,400 - $29,600 + 13,600)

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Answer:

32≠10

False

Step-by-step explanation:

Answer:

8+√34

Step-by-step explanation:

use distance formula d =√(x2-x1)² +(y2-y1)² to find the sides

√ (1 -1)²+( -6+3)² = √9 = 3

√ (1+4)²+( -6+6)² = √25 =5

√ (1+4)² + (-3+6)² = √25+9 =√34

Perimeter is P = 3+5+√34 = 8+√34

Answer:

140

Step-by-step explanation:

Since 25% is 1/4 of 100, that means that 35 is 1/4 of the total amount of members in the club. So, 35 times 4 is 140.

Answer:

140

Step-by-step explanation:

hope this helps get a 100%

The nurse should document for this client as 45 pack years.

Pack year is determined by dividing the quantity of packs smoked daily by the number of years the smoker has smoked.

total years of smoking = current age of the client - the year he started smoking

= 66 - 16

50 years of smoking

For 40 years he smoked 1 pack per day but then he reduced it to a half pf a pack per day

= 40 x 1 + 10 x 0.5

= 45 pack- years

The nurse should document for this client as 45 pack years as the client has started smoking at age 16 , and smoked one pack each day until 10 years ago then he had decreased to a half of a pack per day.

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Answer:

53%

Step-by-step explanation:

Answer:

IE = IF (By CPCT)

Step-by-step explanation:

Given:

ABCD is a parallelogram

So,

LINE AC || DC

Computation:

IN ΔAIE and ΔCIF

∠AIE = ∠CIF (Vertical opposite angle)

AI = IC (I is midpoint of line AC)

∠IAE = ∠ICF  (Alternate angle)

So,

ΔAIE ≅ ΔCIF

So,

IE = IF (By CPCT)

Answer:

[tex]A_w=24x+28.5[/tex]

Step-by-step explanation:

The rectangular garden is surrounded by a walkway.

The combined area of both is 7.5(6x+5) and the area of the garden alone is 6(3.5x+1.5).

The area of the walkway (Aw) around the garden is the result of subtracting the total area minus the inner area:

[tex]A_w=7.5(6x+5) -(6(3.5x+1.5))[/tex]

Removing parentheses:

[tex]A_w=45x+37.5 -21x-9[/tex]

Simplifying:

[tex]\mathbf{A_w=24x+28.5}[/tex]

Answer:

[tex]7^{3}[/tex]

Step-by-step explanation:

7 is being multiplied by itself 3 times meaning it's to the power of 3 so the base is 7 while the exponent is 3.

He would have a total of: $1639.09

In intrest alone he would've made 1639.09

Step-by-step explanation:

3%= 0.03

Answer:

3

Step-by-step explanation:

Answer:

1 cubic cent

Step-by-step explanation:

Cause the volume of a cube is V^3. So, 1x1x1 = 1

Answer:

The answer is 1 cubic centimeter.

Step-by-step explanation:

Answe: there is no pic

Step-by-step explanation:

Answer:

ab = 10 or -10

Step-by-step explanation:

........

.

Answer:

4% compounded yearly

Step-by-step explanation:

20 / 500 = 0.04

0.04 * 100 = 4%

Answer:

160

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

3x4 is 12

2x8 is 16

16+12 is 28

Answer:

1

Step-by-step explanation:

In order to add fractions they have to have a common denominator.

In this case we can multiply the fraction 3/4 by 2 to get 6/8.

Now we can add them:

[tex]\frac{6}{8} + \frac{2}{8} = \frac{8}{8} = 1[/tex]

Therefore, the answer to the question is 1.

I hope this helps!!

- Kay :)

Answer:

See below

Step-by-step explanation:

This means

x < 3     or

-x < 3     <====   multiply both sides by -1 <=== this reverses the <

x > -3

so combining the two underlined

  -3  <  x  <  3

Answer:

Step-by-step explanation:

we can expand the inequality to x>-3 or x<3 meaning x should be between -3 and 3 mathematically we can say -3<x<3

hope this helps

Answer:

x = 6

Step-by-step explanation:

Take the statement x varies directly as y and z

This means value of x is directly proportional to the value of y and z  represented as x ∝ yz which can be represented as x = k.y.z where k is a constant known as the constant of proportionality

If x varies inversely as the square  of r  we represent this as x ∝ 1/r² or in equation form x = k/r²

Since the value of x is dependent on the values of y, z and  jointly we have a single equation of proportionality:

[tex]\bold{x= k\cdot\frac{yz}{r^{2}}}[/tex]

Given the values for x, y, z and r we can compute the proportionality constant and determine the value of x for any value of y, z or r

x = 16 when y = 3, z = 12 and r = 3

[tex]16 = k\cdot \frac{3\cdot 12}{3^2} \\\\16 = k\cdot \frac{3\cdot 12}{9}\\\\16 = k\cdot4\\\\k = 16/4 = 4\\[/tex]

So the constant of proportionality is k = 4. Us this value in the proportionality equation along with y, z and r to get the value of x

[tex]x = 4\cdot \frac{5\cdot 30}{10 \cdot 10}\\\\x = 4\cdot\frac{150}{100}\\\\x = \frac{600}{100} = 6\\\\[/tex]

So x = 6 is the answer

Answer:

c 2:1

Step-by-step explanation:

If you simplify 14:7 it is 2:1  (divide by 7)

Answer:

14:7 is the same as 2:1 because 7 can go into 14 two times and into 7 once

so your answer would be C

The answer of the given expression [tex]\frac{1}{2} +\frac{3}{4} \times16[/tex] is 25 / 2 .

PEMDAS is word form accustomed mention the order of operations to be followed whereas determination expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.PEMDAS or order of operations may be a set of rules to perform operations in AN arithmetic expression. There ar completely different situations wherever everything goes through numerous steps during a mounted sequence.

We have given an expression [tex]\frac{1}{2} +\frac{3}{4} \times16[/tex] .

According to PEDMAS , we will first solve the multiplication term which on solving gives 3/4 (16) = 3 × 4 = 12.

Now we will solve the addition term which is given by

1/2 + 12 = 1 + 24 /2

            = 25 / 2

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