Answer:
Miles: 35; Gallons: 1
Step-by-step explanation:
The number of gallons can be any number of your choosing that is less than 12, which is the capacity of the tank. For the purpose here, 1 is a convenient number. To find the corresponding number of miles (m), you need to solve the proportion ...
420/12 = m/1
35 = m
(miles, gallons) = (35, 1) . . . a suitable choice for the table values
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<em>Additional comment</em>
If your sense of symmetry is offended by choosing 1 for Gallons, you can choose 10, a number halfway between 12 and 8. In that case, your proportion is ...
420/12 = m/10 ⇒ m = 350
Then, your entry would be ...
(miles, gallons) = (350, 10)
4w +8. C.
It’s 4 * width for perimeter and two of the sides are longer by 4in so 2*4=8
Answer:
1) 18m²
2) 25cm²
Step-by-step explanation:
1)
- a = ½ × b × h
- a = ½ × 9 × 4
- a = ½ × 36
- a = 18m²
2)
- a = ½ × b × h
- a = ½ × 10 × 5
- a = 5 × 5
- a = 25 cm²
Answer:
Formula for g(x) is 
Step-by-step explanation:
Given - g is a trigonometric function of the form g(x)=a sin (bx+c)+d. The function intersects its midline at (-1 , 6) and has a minimum point at (-3.5 , 3)
To find - Find a formula for g (x). Give an exact expression.
Proof -
Given that,
g(x)=a sin (bx+c)+d
We know that, Midline is present in between maximum and minimum
Here given that, minimum is present is 3 and midline is present at 6
So, Maximum occurs at 9.
Now,
We know that,
Standard form of sine function is - g(x) = Asin(B(x-C)) + D
Where
A = Amplitude
and Amplitude = (Maximum - minimum) / 2
= (9 - 3)/ 2
= 6/2 = 3
⇒A = 3
Now,
Period = 
⇒B = (2π) / Period
= (2π) / 10
= π/5
⇒B = π/5
Now,
Phase Shift : C = -1 ( i.e. 1 to the left)
Vertical Shift : D = 6
So,
We get
g(x) = Asin(B(x-C)) + D
= 
⇒
∴ we get
Formula for g(x) is
Answer:
Probability is a mathematical term for the likelihood that something will occur. It is the ability to understand and estimate the likelihood of any different combination of outcomes. Let’s discuss some real-life examples of Probability 1. Weather Forecasting Before planning for an outing or a picnic, we always check the weather forecast.
Step-by-step explanation:
