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taurus [48]
3 years ago
13

One questions here! Please help! (:

Mathematics
1 answer:
Hatshy [7]3 years ago
7 0
\cfrac{c^{-6}d^4}{c^{-16}d^{14}} = \cfrac{c^{16}d^4}{c^{6}d^{14}} = \cfrac{c^{10}}{d^{10}}
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Lauren drove her car 20 miles on 10 gallons and gasolin. At this rate, how many gallons qill she use on a 1,200 mile trip?​
ser-zykov [4K]

Answer:

600 gallons

Step-by-step explanation:

10÷20=0.5

0.5 x 1,200=600 gallons

3 0
2 years ago
Simplify the expression. 7c3 • –5c7
Sidana [21]

Answer:

-35c^12

Step-by-step explanation: Hope this helped.

7 0
3 years ago
Tom's stockbroker offers an investment that is compounded continuously at an annual interest rate of 3.7%. If Tom wants a return
Anettt [7]

Answer:

It'll take 38.3 years to obtain the desired return of $25,000.

Step-by-step explanation:

In order to solve a continuosly coumponded interest question we need to apply the correct formula that is given bellow:

M = C*e^(r*t)

Where M is the final value, C is the initial value, r is the interest rate and t is the time at which the money was applied. Since he wants an return of $25,000 his final value must be the sum of the initial value with the desired return. So we have:

(25000 + 8000) = 8000*e^(0.037*t)

33000 = 8000*e^(0.037*t)

e^(0.037*t) = 33000/8000

e^(0.037*t) = 4.125

ln[e^(0.037*t)] = ln(4.125)

t = ln(4.125)/(0.037)

t = 1.4171/0.037 = 38.2991

t = 38.3 years

7 0
3 years ago
In a study of 100 new cars, 29 are white. Find and g, where
sleet_krkn [62]

Question

<em>In a study of 100 new cars, 29 are white. Find p and q , where p is the proportion of new cars that are white. </em>

Answer:

p = 0.29  and q = 0.71

Step-by-step explanation:

Given

Total new cars =  100

White new cars = 29

Required

Determine p and q

From the question;

<em>p represents white new cars</em>

Hence;

p = 29

Note that;

p + q = 100

Substitute 29 for p

29 + q = 100

29 - 29 + q = 100 - 29

q = 100 - 29

q = 71

The proportion of p is calculate by dividing p by the total number of new cars (Same process is done for q)

For proportion of p

Proportion,\ p = \frac{p}{new\ cars}

Proportion,\ p = \frac{29}{100}

Proportion,\ p = 0.29

For proportion of q

Proportion,\ q = \frac{q}{new\ cars}

Proportion,\ q = \frac{71}{100}

Proportion,\ q = 0.71

6 0
3 years ago
The ordered pair (3,-4) is among the points on the graph of the function f. Which of the following doesn’t belong to the functio
julia-pushkina [17]

Answer:

(3, 4)

Step-by-step explanation:

A function is a relation that maps elements from a set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs).

Such that a function can map each element of the domain into only one element of the range.

Then, if a "function" has:

f(x1) = y1

and

f(x1) = y2

It is mapping the input "x1" into two different outputs, then this is not a function.

Now, we know that the ordered pair (3, -4) is among the points on the graph of the function f(x)

(The first value is the input and the second one is the output)

Then the point that does not belong to the graph, is the point that has the same input and different output.

(3, 4)

Any of the other points could belong to the graph.

3 0
2 years ago
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