Suppose the average driving speed on family trip is 48 mi/h. Which function rule models the distance traveled d(t) as a function of time t spent traveling. A. d(t) = t + 48 B. d(t) = 48 - t C. d(t) = 48t D. d(t) = t/48

Answer:

Answer is D) 3.2

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Answer:

u =  21

Step-by-step explanation:

WX = XY because (VW = VY)

WX = u + 42

XY = 3u

u + 42 = 3u

42 = 3u - u

42 = 2u

u = 42 / 2

u = 21

Answer:

u = 21

Step-by-step explanation:

Consider triangle XWV and triange XYV

XV = XV (common)

Angle XVW = Angle XVY (given)

VW = VY (given)

∴triangle XWV ≅ triange XYV (SAS)

∴ XW = XY (corr. sides, ≅ triangles)

u + 42 = 3u

u = 21

Answer:

volume = pi r^2 h

or, 190 = pi (3.2)^2 h

or, 190/10.24 = pi h

or, 18.56 = 22/7 h

or, 18.56×7/22 = h

thus , h = 5.9037

1

Step-by-step explanation:

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Answer:

-10

Step-by-step explanation:

Using PEMDAS start in the inside (-3-5) = -8 then -2(-8) = 16 then the final step

6 - 16 = -10

Answer:

-3 - 5= -8

-2 x -8= 16 (2 negatives make a positive when multiplied)

6-16= -10

Answer:

x^2 + y^2 = 4

Step-by-step explanation:

General for of a circle is x^2 + y^2 = r^2

The circle is centered at the origin and the radius is 2.

Answer:

C

Step-by-step explanation:

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The correct relationship between the pair of angles m ∠AXC and m ∠BXC are,

A. They are supplementary angles,

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Measure of angle m ∠AXC and m ∠BXC are,

m ∠AXC = 100 deg.

m ∠BXC = 80 deg.

Hence, We get;

m ∠AXC + m ∠BXC

= 100 + 80

= 180 degree

Thus, The correct relationship between the pair of angles m ∠AXC and m ∠BXC are,

A. They are supplementary angles,

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Answer:

direction

Step-by-step explanation:

Answer:

12.2 < 39

Step-by-step explanation:

3.2 +9 < 39

Add 3.9 and 9

It will give you 12.2 < 39

Hope this helps:) Have a great day!

y = 5x, so 5 is the constant of proportionality

In the given linear equation, y is directly proportional to x.

A linear equation is an equation that has the highest power of the variable of 1.

Given linear equation is:

y = 5x

Here, '5' is a constant term.

Therefore, y is directly proportional to x.

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Answer:

Stamp collected in June = 33

Step-by-step explanation:

Total stamp = 94

Stamp collected in April = 27

Stamp collected in May = 34

Stamp collected in June = x

Total stamp = April stamp + May stamp + June stamp

94 = 27 + 34 + x

94 = 61 + x

x = 94 - 61

x = 33

Stamp collected in June = 33

Step-by-step explanation:

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Answer:

17.5 g

Step-by-step explanation:

20 g is 100% then a decrease of 12.5% is

100% - 12.5% = 87.5% = [tex]\frac{87.5}{100}[/tex] = 0.875 , then

20g × 0.875 = 17.5 g

Answer:

2 19/20 minutes

Step-by-step explanation:

Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?

The total number of minutes =

Number of minutes spent doing question (A + B + C)

Hence,

Hence, the number of minutes he had left for Question C is calculated as:

20 minutes - ( 11 1/4 + 5 4/5) minutes

20 minutes - ( 11 + 5 ( 1/4 + 4/5))

Lowest common denominator = 20

20 minutes - ( 16 + ( 5 + 16/20)

20 minutes - ( 16 + 21/20) minutes

20 minutes - (16 + 1 1/20) minutes

20 minutes - 17 1/20 minutes

= 2 19/20 minutes

Therefore he had 2 19/20 minutes left for Question C

Answer:

x = 5

Step-by-step explanation:

Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.

8x - 3 = 5x + 12

3x = 15

Answer:

Example 1:

V=L*B*H

v=4m*6m*8m

v=192 m

Answer:

Volume = 192

Step-by-step explanation:

Answer:

9x³-9x²+2x

Step-by-step explanation:

Let the expression be given as

(2-3x)(x-3x²)

Expand

= 2(x)-2(3x²)-3x(x)-3x(-3x²)

= 2x - 6x² -3x²+9x³

Rearrange

= 9x³-6x²-3x²+2x

= 9x³-9x²+2x

Hence the simplified form of the expression is 9x³-9x²+2x

Answer:

96 because it's the same length but just slanted

Answer:

(6^4 x 2^-9)

Step-by-step explanation:

Answer:

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Answer:

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Step-by-step explanation:

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Answer:

√x^2-4

Step-by-step explanation:

Given the expression

√(x+2) * √(x-2)

= √(x+2)(x-2)

Expand

= √x(x)-2x+2x-2(2)

= √x^2-4

Hence the product of the expression will give √x^2-4

For x to be acceptable x^2 - 4 = 0

x^2 = 4

x = ±√4

x = ±2

Acceptable value of x are values that are greater than or equal to ±2

Answer:

√x^2-4

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Answer:

1 solution. y= 5/4x - 1/2

Answer:

area = 10.28 units²

Step-by-step explanation:

Smallest prime numbers I can think of is 2, 3 & 5 but that will not make a triangle.

3, 5, & 7 will

area = 1/2(7)(2.9375) = 10.28 units²

3x² + 4x + 5 = 0 → x² + 4/3x +5/3 =0 → (x + ⅔)² + 5/3 - 4/9 = 0 → (x + ⅔)² + 11/9 = 0

Answer:

1/36

Step-by-step explanation:

Each dice has a 1 in 6 chance to land on a 1, but for both dice to land on 1's it would be [tex](\frac{1}{6} )(\frac{1}{6})[/tex]=[tex]\frac{1}{36}[/tex]

Answer:

1/10 is the correct answer

Step-by-step explanation:

3/5=6/10

7/10-6/10=1/10

Answer:

1/10 hour

Step-by-step explanation:

7/10  

convert 3/5 to 6/10 for same denominator

7/10 - 6/10 = 1/10

Answer:

B

Step-by-step explanation:

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