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vovangra [49]
3 years ago
6

Patton's troops covered 48 miles in 4 hours. he then increased the speed by 8 miles an hour. if the total distance was 108 miles

, then how long did it take to finish the trip?
Mathematics
1 answer:
masya89 [10]3 years ago
7 0
                               48 miles/4hrs = 12 mph

Increased Speed 12 mph + 8mph = 20 mph

Distance left        108 miles - 48 miles = 60 miles

Time left               60 miles/20 mph = 3 hours

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The histogram shows the prices for six-packs of adult socks and six-packs of kid socks at a store. What is true about the variab
Agata [3.3K]

Answer:

a. There is more variability in the prices of kid socks because they have a greater range.

Step-by-step explanation:

A measure of variability is a summary statistic that represents the amount of dispersion in a dataset. Common examples are range, interquartile range (IQR), variance, and standard deviation.

From the histogram

Highest Number of Packs of Adult Socks = 7

Lowest Number of Packs of Adult Socks = 5

Range = 7 - 5 =2

Highest Number of Packs of Kid Socks = 7

Lowest Number of Packs of Kid Socks = 4

Range = 7-4 = 3

We conclude that there is more variability in the prices of kid socks because they have a greater range.

The correct option is A.

8 0
3 years ago
P(x) =x and q(x) = x-1Given:minimum x and Maximum x: -9.4 and 9.4minimum y and maximum y: -6.2 and 6.2Using the rational functio
Arte-miy333 [17]

we have the following function

\frac{p(x)}{g(x)}=\frac{x}{x\text{ -1}}

where x is between -9.4 and 9.4 and y is between -6.2 and 6.2.

We will first draw the function

from the graph, we can see that the zeroes are all values of x for which the graph crosses the x -axis

In this case, we see that that the only zero is at x=0.

Now, we have that the asymptotes are lines to which the graph of the function get really close to. On one side, we can see that as x goes to infinity or minus infinity, the values of the function get really close to 1. So the graph has a horizontal asymptote at y=1. Also, we can see that as x gets really close to 1, the graph gets really close to the vertical line x=1. So the graph has a vertical asymptote at x=1.

Recall that the domain of a function is the set of values of x for which the function is defined. From our graph, we can see that graph is not defined when x=1. So the domain of the function is the set of real numbers except x=1. Now, recall that the range of the function is the set of y values of the graph. From the picture we can see that the graph has a y coordinate for every value of y except for y=1. So, this means that the range of the function is the set of real numbers except y=1.

From the graph, we can see that we cannot draw the graph having a continous drawing. That is, imagine we take a pencil and start on one point on the graph on the left side. We can draw the whole graph on the left side, but we cannot draw the graph on the right side without lifting the pencil up. As we have to "lift the pencil up" this means that the graph is not continous

Finally note that as we have a vertical asymptote at x=1 and horizontal asymptote at y=1 we have that when y is 1 or x is 1, the function y=f(x)/g(x) is undefined

5 0
1 year ago
If $48,000 is invested in an account earning 3.1% interest compounded continuously, determine how long it will
Bas_tet [7]

Answer:

It will take about 35.439  years to triple.

Step-by-step explanation:

Recall the formula for continuously compounded interest:

A=P\,e^{r*t}

where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).

Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:

3\,*\,48,000=\,48,000\,\,e^{0.031\,*t}\\\frac{3\,*\,48,000}{48,000} =e^{0.031*t}\\3=e^{0.031*t}

Now,in order to solve for "t" (which is in the exponent, we use logarithms:

ln(3)=0.031\,*\,t\\t=\frac{ln(3)}{0.031} \\t=35.439 \,\,years

7 0
3 years ago
Can you please help<br><br> Solve: x/2 = 7<br><br> Answers are: <br> x=5<br> X=7<br> X=9<br> X=14
QveST [7]

Answer:

X = 14

14/2=7

6 0
3 years ago
Read 2 more answers
Pls help w these thx &lt;33
stepladder [879]

Answer:

36.81233927

13.02532494

Step-by-step explanation:

You need to use the law of sine for both of them

the law of sine is as follows:

\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}

Question 1:

\frac{15}{\sin(64)}=\frac{10}{\sin(y)}\\y=36.81233927

Question 2:

Let x= AB

Start by solving for the missing angle, 53

\frac{8.4}{\sin(31)}=\frac{x}{\sin(53)}

x= 13.02532494

I will leave you to round the answers

7 0
3 years ago
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