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neonofarm [45]
3 years ago
13

Select the correct answer.

Mathematics
1 answer:
Leviafan [203]3 years ago
4 0

Answer:

The graph of function g is the graph of function f shifted 6 units up.

Step-by-step explanation:

Given

f(x) = 2^x

g(x) =2^x + 6

Required

Compare g(x) to f(x)

Substitute f(x) = 2^x in g(x) =2^x + 6

g(x) = f(x) + 6

<em>This implies that f(x) is shifted 6 units upward to give g(x)</em>

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Please help due in less than 3 hours!!!!!!!! When Anne biked down the canyon, she averaged 30 miles per hour. At this rate, how
bixtya [17]

Answer:

2 min.

Step-by-step explanation:

1h is 60 min so divide 60 by 30 and you get 2

3 0
3 years ago
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The measure of angle D is 5 times the measure of angle E. The two angles are supplementary. Find the measure of each angle
steposvetlana [31]
Angle e = x        angle d = 5x    supplementary means they add up to 180
x + 5x =180
6x = 180
6x/6 = 180/6
x = 30
so angle e = 30 and angle d = 5(30) = 150
4 0
3 years ago
Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds. Who was moving faste
Andrews [41]

Answer:

Mai was moving faster.

As, she covered a greater distance in the same amount of time.

Step-by-step explanation:

Given: Mai traveled 15 meters in 6 seconds and Priya travels 22 meters in 10 second.

Calculate the speed of both;

Speed defined as the rate at which an object covers distance.

Speed = \frac{Distance}{Time}

Mai traveled 15 meters in 6 seconds

then;

Speed = \frac{15}{6} = 2.5 m/s

Priya travels 22 meters in 10 second.

then;

Speed = \frac{22}{10} = 2.2 m/s

Reason: Mai traveled faster because she covered a greater distance in the same amount of time.

7 0
3 years ago
A restaurant adds a 20% tip to the bills of parties of 6 or more people. Suppose a server waits on five such tables. The bill
castortr0y [4]

Answer:

$218.70

Step-by-step explanation:

You need to first convert the percentage to the decimal.

20% = 0.2

Now, you need to find 20% of each bill by multiplying each bill by 0.2.

0.2(185.45) + 0.2(205.20) + 0.2(195.05) + 0.2(245.80) + 0.2(262.00)

Because of the distributive property, you can add up the bills and multiply the sum by 0.2.

0.2(185.45 + 205.20 + 195.05 + 245.80 + 262.00)

0.2(1093.50)

218.7

The waiter made $218.70 in tips.

4 0
3 years ago
A metallic sphere is immersed in water in a cylindrical container causing a rise in the level of water by 7.5cm if the cylinder
SVETLANKA909090 [29]

Answer:

6.51 cm

Step-by-step explanation:

Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus    V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.

Since V = V',

4πr³/3 = πR²h

dividing through by π, we have

4r³/3 = R²h

multiplying both sides by 3/4, we have

r³ = 3R²h/4

taking cube-root of both sides, we have

r = ∛(3R²h/4)

Substituting the values of the variables into the equation, we have

r = ∛(3(7 cm)² × 7.5 cm/4)

r = ∛(3 × 49 cm² × 7.5 cm/4)

r = ∛(1102.5cm³/4)

r = ∛(275.625 cm³)

r = 6.508 cm

r ≅ 6.51 cm to 2 decimal places

3 0
3 years ago
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