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alukav5142 [94]
3 years ago
11

Traveling at 65 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 125 miles from San

Diego to Malibu?
Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0
<h3>​Traveling at 65 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 125 miles from San Diego to Malibu?</h3>

We can establish a proportion:

Since an hour = 60 minutes​

If it takes 60 minutes to travel 65 miles​ (speed)

X minutes it will take to travel 125 miles​

X = 125miles*60 minutes/65 miles = 115 minutes approximately​

Answer : 115 minutes approximately​

​Hope this helps!​​​​

​\textit{\textbf{Spymore}}​​​​​​​

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WILL GIVE BRAINLIEST Mr. and Mrs. Bailey hope to send their son to college in eleven years. How much money should they invest no
Ronch [10]

Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.

<h3>Compound interest</h3>

Compound interest is given by:

A=P(1+\frac{r}{n})^{nt}

where A is the amount after t years, P is initial amount, r is the rate and n is the times compounded per period

Given that n = 1, r = 9% = 0.09, A = $7500 t = 11. Hence:

7500=P(1+\frac{0.09}{1} )^{1*11}\\\\P=\$2906.50

Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.

Find out more on Compound interest at: brainly.com/question/24924853

7 0
2 years ago
Given f(x) = 4x^4 find f^-1(x) Then state whether f^-1(x) is a function.
sdas [7]

Answer:

  • f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}
  • f^{-1}(x) \quad\text{is not a function}

Step-by-step explanation:

To find the inverse function, solve for y:

x=f(y)\\\\x=4y^4\\\\\dfrac{x}{4}=y^4\\\\\pm\sqrt[4]{\dfrac{x}{4}}=y\\\\f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}

f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.

___

A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.

The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.

__

Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.

_____

The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.

5 0
3 years ago
If Colorado spring, Colorado, has 1.2 times as many days of sunshine as Boston, Massachusetts, how many days of sunshine does ea
Crank
C= Colorado B= Boston
C + B = 464
C = 1.2B
Substitute the known value of C from the second equation into the first
C + B = 464
(1.2B) + B = 464
2.2B = 464
Divide each side by 2.2
B = 210.9, rounded to 211 (it's asking for days, not partial days, so round)
If Boston has 211 days of sunshine , then Colorado Springs has 1.2 times that amount. 211 * 1.2 = 253.2 (rounded to 253)
Verification
211 + 253 = 464
3 0
2 years ago
What is the value of ▲ in the equation shown?<br> 7x9=(7x10)-(7x▲ )
ahrayia [7]

Step-by-step explanation:

▲ =1

easy peasy........

7 0
3 years ago
I will mark BRAINLIEST and yu get 10 points
jolli1 [7]

Answer:

the answer is C!

8 0
3 years ago
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