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AnnyKZ [126]
3 years ago
15

A model rocket is launched from a roof into a large field the path of the rocket can be modeled by the equation Y equals -0.05x^

2 + 9.6 x + 5.4 where X is the horizontal distance in meters from the starting point on the roof and y is the height in meters of the rocket above the ground how far horizontally from its starting point will the rocket land round your answer to the nearest hundredth
•82.03 m
•6.50 m
• 90.00 m
• 88.53 m​
Mathematics
2 answers:
gulaghasi [49]3 years ago
6 0

Answer:

it's 160 or 160. 56

Step-by-step explanation:

since you want the height horizontally from the starting height, and that height was 5.4 metres,

-.06x^2 + 9.6x + 5.4 = 5.4

the 5.4 drops out, so

x(-.06x + 9.6) = 0

x = 0 , the starting time

or

x = 9.6/.06 = 160

it will land after 160 m

Luda [366]3 years ago
3 0

The answer to this question is going to be 88.53 because you shift it horizontally

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Michael has a pail that holds 5 gallons of
damaskus [11]

Answer:

20 quarts.

Step-by-step explanation:

Because there are 20 quarts in 5 gallons.

5 0
3 years ago
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-s
iris [78.8K]

Answer:

0.6826

Step-by-step explanation:

Mean(μ) = 37

Standard deviation (σ) = 9

P(28 < x < 46) = ???

Using normal distribution

Z = (x - μ)/σ

For x = 28

Z = (28 - 37)/9

Z = -9/9

Z = -1

For x = 46

Z = (46 - 37)/9

Z = 9/9

Z = 1

We now have

P(-1 < Z < 1)

= P(Z < 1) - P(Z < -1)

From the table, Z = 1 = 0.3413

φ(Z) = 0.3413

Recall that

When Z is positive, P(x<a) = 0.5 +φ(Z)

P(Z<1)= 0.5 + 0.3413

= 0.8413

When Z is negative, P(x<a) = 0.5 - φ(Z)

P(Z< -1)= 0.5 - 0.3413

= 0.1587

We now have

0.8413 - 0.1587

= 0.6826

8 0
3 years ago
3. Given A(3,5), B(7, 10), C(0, 2), and D(1, a),
bazaltina [42]

Answer:

Step-by-step explanation:

a. a=4

b. a=3

hope this helps

3 0
3 years ago
What is the average rate of change for ƒ(x) = −3x + 79 over the interval 2 ≤ x ≤ 4?
Ainat [17]

Answer:

The average rate of change is -3.  

Step-by-step explanation:

Given : Function f(x)=-3x+79 over the interval 2 ≤ x ≤ 4.

To find : What is the average rate of change ?

Solution :

Function f(x)=-3x+79 over [2,4]

The rate of change is the slope of the line,

So, \text{Rate of change}=\frac{f(4)-f(2)}{4-2}

f(4)=-3(4)+79

f(4)=-12+79

f(4)=67

f(2)=-3(2)+79

f(2)=-6+79

f(2)=73

Substitute,

\text{Rate of change}=\frac{67-73}{4-2}

\text{Rate of change}=\frac{-6}{2}

\text{Rate of change}=-3

Therefore, The average rate of change is -3.

8 0
3 years ago
Read 2 more answers
You go out to eat with your family. The subtotal on your bill is $45.90. You must pay a 8% sales tax AND you would like to leave
Eddi Din [679]

Answer:

The answer is 57.83

Step-by-step explanation:

find 8% of 45.90 and add 18% of 45.90 and add them together.

8%*45.90=3.67

18%*45.90=8.26

Add, 45.90+8.26+3.67

The final price of your meal is 57.83

7 0
4 years ago
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