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gulaghasi [49]
3 years ago
6

Find the missing values for the exponential function represented by the table below. x values: 0, 1, 2, 3, 4 y values: 24, 40.8,

69.36, _____, _____
Mathematics
1 answer:
lakkis [162]3 years ago
3 0

f(x)=b(a)^x\\\\x=0\to y=24\qquad\text{substitute}\\\\b(a)^0=24\to b=24\\\\x=1\to y=40.8\qquad\text{substitute}\\\\24(a)^1=40.8\qquad\text{divide both sides by 24}\\\\a=1.7\\\\f(x)=24(1.7)^x\\\\\text{check for x = 2}\\\\f(2)=24(1.7)^2=24(2.89)=69.36\qquad\text{CORRECT}\\\\f(3)=24(1.7)^3=24(4.913)=117.912\\\\f(4)=24(1.7)^4=24(8.3521)=200.4504

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Eric drove 248 miles in 4 hours. If he continues to travel at the speed, how far will he go in 7 hours and 30 minutes?
qaws [65]
248/4=62
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He will go 465 miles in 7 hours and 30 minutes
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AVprozaik [17]

Answer: 12.6 m

Step-by-step explanation:

Use the pythagorean theorem, we get that the height, or x, is

sqrt(22x22-18x18) = sqrt(484-324) = sqrt(160) = 4sqrt(10) = 12.6 m

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Graph the image mop for the translation
valentinak56 [21]

Answer:

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Step-by-step explanation:


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Cy+4=d−9y solve for y
tiny-mole [99]

Answer:

Answer:

y= d−4 /c+9

Step-by-step explanation:

cy+4=d−9y

Step 1: Add 9y to both sides.

cy+4+9y=d−9y+9y

cy+9y+4=d

Step 2: Add -4 to both sides.

cy+9y+4+−4=d+−4

cy+9y=d−4

Step 3: Factor out variable y.

y(c+9)=d−4

Step 4: Divide both sides by c+9.

y(c+9)  c+9 = d−4 /c+9

y= d−4 /c+9

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3 years ago
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Suppose that a is a one-dimensional array of ints with a length of at least 2. Which of the following code fragments successfull
elixir [45]

Answer:

E)II and III only

Step-by-step explanation:

This can be seen with examples. Say a[0]=1 and and a[1]=2.

for I , the first line of code would be:

a[0]=a[1];

thus, we would get a new value for a[0]=2.

The second line of code

a[1]=a[0]; uses the new value of a[0], so we would get a[1]=2.

The end result is a[0]=2, and a[1]=2 which doesn't exchange the values of the first two elements.

For II the first line of code

int t= a[0]; saves the original value of a[0] to t, so we get t=1.

the second line of code

a[0]=a[1]; changes the value of a[0]  to that of a[1]. Thus, in our example a[0]=2.

the final line

a[1]=t; changes the value of a[1] to the original value of a[0], giving us a[1]=1 and a[0]=2, what we were looking for.

For III

the first line of code

a[0]=a[0]-a[1];

gives us

a[0]=1-2

the secon line

a[1]=a[1]+a[0];

takes the new value of a[0] and replaces it in the expression

a[1]= 2+(1-2)=1

the last line

a[0]=a[1]-a[0];

takes the new value of a[0] and a[1] and replaces the in the expression

a[0]=1-(1-2)=1-1+2=2

which exchanges the values needed.

So we can see that only II and III do what we require, giving us E as the answer.

6 0
3 years ago
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