59. If [tex]\lim _{x \rightarrow 1} \frac{f(x)-8}{x-1}=10,[/tex] find [tex]\lim _{x\rightarrow1}f(x)\text{.}[/tex]

Answer:

. 0625

Step-by-step explanation:

1/2^4

or

1/16

just doing half life

Answer:

Step-by-step explanation:

I too hunder percent agree

Step-by-step explanation:

10 x + 6 y = -14 yes

21 x - 6 y = 39 yes

add those two

31 x + 0 = 25

so

x = -25/31 yes

Now go back and use -25/31 in either of the original equations to get y

5 (-25/31) + 3 y = -7

3 y = 125/31 -7

3 y = (125-217)/31

y = - 92/3

Answer:

  x+3 is not a factor

Step-by-step explanation:

A graphing calculator shows the expression has a zero at x=3 and no other real zeros. If x+3 were a factor, there would be a zero at x = -3.

  x+3 is not a factor of the expression.

_____

You can check to see if x+3 is a factor by evaluating the expression for x=-3. If (x+3) is a factor, x=-3 will make the function be zero.

  3(-x³ +2x² +2x +3) = 3(((-x +2)x +2)x +3) = 3(((-(-3)+2)(-3) +2)(-3) +3)

  = 3((-15+2)(-3) +3) = 3(39 +3) = 126 ≠ 0

The expression evaluates to 126 at x=-3, so x+3 is NOT a factor.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,

Length of the rectangle = 1.618 × 15 feet = 24.27 feet

Now, the perimeter of the rectangle can be written as,

[tex]\rm \text{Perimeter of the rectangle} = 2(Length+ Width) \\\\\text{Perimeter of the rectangle} = 2(24.27+15)\\\\\text{Perimeter of the rectangle} = 78.54 \approx 79\ feet[/tex]

Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.

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Answer:

False (no)

Step-by-step explanation:

A polygon needs at least three straight sides and angles

Answer:

12

Step-by-step explanation:

this question asked us to find the given data points. Given this data set, what we know that the minimum is the smallest value, which is simply gonna be five. We know the media is gonna be the middle about you. We have to middle values seven and nine. Therefore, we couldn't find the average of the sum plus nine divided by two is eight. Now, we're looking for the first quarter mile. We know that we're gonna be averaging the middle values similarly to what we did for the media. So we have 10 plus 11 divide by two, which is 10.5, and then the maximum is simply the largest value, which is 12.

Simplify the integrand

[tex]\dfrac{1-\sin^2(t)}{\sin^2(t)} = \dfrac{\cos^2(t)}{\sin^2(t)} = \cot^2(t)[/tex]

Recall the derivative of csc(t),

[tex]\dfrac d{dt} \csc(t) = -\cot^2(t)[/tex]

It follows that

[tex]\displaystyle \int \frac{1-\sin^2(t)}{\sin^2(t)} \, dt = \int \cot^2(t) \, dt = \boxed{-\csc(t) + C}[/tex]

Answer:

0.0833... inches longer or 1/12

Step-by-step explanation:

7/12=0.583

1/2 but multiplied by 6 is 6/12

so 7/12-6/12=1/12 longer or 0.0833-

Answer: the answer is c which is 61 ¾ inches .

Step-by-step explanation: what I did that I made 62 ½ minus ¾ and it gave 61 ¾ inches, to know how many inches did she grew at the beginning of the year . I hope my answer is correct . Please give brainliest . Thanks .

Answer:

C is true

Step-by-step explanation:

The only true answer is C.

If a is 2 times greater than b, then:

A. is not possible because both sides are equal

B. is not possible because b is 2 times greater

D. is not possible because both sides are equal

Given:

In Δ[tex]WXY,m < Y=90^o,WY=3,XW=5[/tex] and [tex]YX=4[/tex].

To find:

The ratio represents the cosine of ∠[tex]W[/tex].

Solution:

In Δ[tex]WXY,m < Y=90^o[/tex]. It means the opposite side of angle Y, i.e., XW is the hypotenuse of the triangle.

In a right angle triangle,

[tex]cos0=\frac{Base}{Hypotenuse}[/tex]

In the given triangle,

[tex]cosW=\frac{XY}{YW}[/tex]

[tex]cosW=\frac{3}{5}[/tex]

Therefore, the required cosine ratio is [tex]\frac{3}{5}[/tex].

The scale factor of the dilation is 2.5.

A scale factor is a number that is used to change the size of shapes in geometry. It is the ratio of the length of a new shape to the length of the original shape.

Given that, a triangle with vertices, A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A(0, 0), B(0, 10), and C(15, 0).

We need to find the scale factor,

Taking the coordinates of B,

B(0, 4) → B(0, 10)

Scale factor = 10/4 = 2.5

Hence, the scale factor of the dilation is 2.5.

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=============================================================

Explanation:

If the money is compounded semiannually at a rate of 8%, then this means the multiplier (common ratio) is b = 1+r/n = 1+0.08/2 = 1.04

In short, b = 1.04 is our growth multiplier. It says that the money is growing by 4% each 6 month period. Each time x goes up by 1, y increases by 4%. The starting amount is a = 2100 dollars.

We go from the template of [tex]y = ab^x[/tex] to [tex]y = 2100(1.04)^x[/tex]

Use that equation to fill out the table. For instance, if x = 2 then,

[tex]y = 2100(1.04)^x\\\\y = 2100(1.04)^2\\\\y = 2100(1.0816)\\\\y = 2271.36\\\\[/tex]

Meaning that after 2 semiannual periods (aka 2*6 = 12 months = 1 year), we'd have $2,271.36 in the account.

Repeat this for the other x values mentioned to get the table shown below. To fill out the final column of the first row, you'll look at the very bottom of the table in the previous column. Four semiannual periods is equal to 2 years.

--------------

These steps are repeated for the second row of the table.

This time the growth multiplier is b = 1 + r/n = 1 + 0.14/12 = 1.0116667 approximately. The starting amount is a = 700

So that's how we go from [tex]y = ab^x[/tex] to [tex]y = 700(1.0116667)^x[/tex]

Like before, you'd plug in the various x values to find their paired y counterparts.

Example:

Plug in x = 18

[tex]y = 700(1.0116667)^x\\\\y = 700(1.0116667)^{18}\\\\y = 700(1.2321801)\\\\y = 862.52607\\\\y = 862.53\\\\[/tex]

The values are approximate. After 18 months, aka 18/12 = 1.5 years = 1 yr + 6 months, we'd have about $862.53 in the account.

Answer: it is -1, because y has no more complete prime factors

Step-by-step explanation:

The answers are:

Second option, evaluating x=-1

[tex]g(-1)=-2[/tex]

Fifth option, evaluating x=6

[tex]g(6)=\frac{3}{2}[/tex]

We are given a table that shows the values for the given function (f(x), and we are asked to find the solution of an equivalent function (g(x)).

We have that:

[tex]g(x)=\frac{1}{2}f(x)[/tex]

Now, evaluating we have:

For x=-3

[tex]g(-3)=\frac{1}{2}f(-3)=\frac{1}{2}*5=2.5[/tex]

We have the values (-3,2.5) so, it's not part of the solutions to the  function g(x).

For x=-1

[tex]g(-1)=\frac{1}{2}f(-3)=\frac{1}{2}*-4=-2[/tex]

We have the values (-1,-2) so,  it's part of the solutions to the function g(x).

For x=0

[tex]g(0)=\frac{1}{2}f(0)=\frac{1}{2}*2=1[/tex]

We have the values (0,1) so, it's not part of the solutions to the function g(x).

For x=5

[tex]g(5)=\frac{1}{2}f(5)=\frac{1}{2}*-8=-4[/tex]

We have the values (5,-8) so, it's not part of the solutions to the function g(x).

For x=6

[tex]g(6)=\frac{1}{2}f(6)=\frac{1}{2} *3=\frac{3}{2}[/tex]

We have the values [tex](6,\frac{3}{2})[/tex] so, it's part of the solutions to the function g(x).

Hence, we have that the answers are:

Second option, evaluating x=-1

[tex]g(-1)=-2[/tex]

Fifth option, evaluating x=6

[tex]g(6)=\frac{3}{2}[/tex]

Have a nice day!

Answer:

12144

Step-by-step explanation11213123:

Answer:

C

Step-by-step explanation:

Exponential form is y = b^x, with b as the base, and logarithmic form is x = log_b(y).

In this case, 10 is the base, 4 is x, and 10,000 is y. In logarithmic form, this can be changed into 4 = log_10(10,000). Logarithms with base 10 can also be written as 4 = log(10,000). Therefore C is the correct answer.

Answer:

94

Step-by-step explanation:

7*78 + x = 8*80

x = 94

Or, think that he was short 2 points on each of 7 tests, so he has to make them all (14) up on the last test.

Factor x^5 - x to get x(x^4 - 1) = x(x^2-1)(x^2+1) = x(x-1)(x+1)(x^2+1)

We see that x = 0, x = 1 and  x = -1 are the real number roots or x intercepts. Ignore the complex or imaginary roots. Unfortunately, the graph shows the x intercepts as -2, 0 and 2 which don't match up.

So there's no way that the given graph matches with f(x) = x^5-x.

-------------------

As more proof, let's consider the end behavior.

As x gets really large toward positive infinity, x^5 will do the same and so will x^5-x. Overall, f(x) will head off to positive infinity. Visually, moving to the right will have the graph move upward forever. This is the complete opposite of what is shown on the graph.

Likewise, the left endpoint should be aimed down instead of up. This is because x^5-x will approach negative infinity as x heads to the left.

In short, the graph shows a "rises to the left, falls to the right" end behavior. It should show a "falls to the left, rises to the right" pattern if we wanted to have a chance at matching it with x^5-x. Keep in mind that matching end behavior isn't enough to get a 100% match; however, having this contradictory end behavior is proof we can rule out a match.

I recommend using Desmos, GeoGebra, or whatever graphing program you prefer to plot out y = x^5-x. You'll get a bettter idea of what's happening.

Answer:

The answer it attached below :)

Sorry it took so long!

The expression for the total time is:

T =  (324/34x).

He does 18 laps in total.

The average rate for the whole 18 laps is the average of the rates (taking in account the number of laps made with each) so we get:

average rate = (8/18)*3x + (10/18)*x = (34x/18)

This means that he does (34x/18) laps per hour.

Then, the time needed to do 18 laps is:

T = (18/(34x/18)) = (324/34x).

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Answer:

C

Step-by-step explanation:

looked up on Quizlet so yeah

The power set P(X) of a finite set X is the set of all possible subsets of X. If X has n elements, then it has a total of 2ⁿ subsets.

For the set S = {1, 2, 3, 4, 5}, we have

• subsets with cardinality 0:

{ } (the empty set)

• subsets with cardinality 1:

{1}, {2}, {3}, {4}, {5}

• subsets with card. 2:

{1, 2}, {1, 3}, {1, 4}, {1, 5}, {2, 3}, {2, 4}, {2, 5}, {3, 4}, {3, 4}, {4, 5}

• subsets with card. 3:

{1, 2, 3}, {1, 2, 4}, {1, 2, 5}, {1, 3, 4}, {1, 3, 5}, {1, 4, 5}, {2, 3, 4}, {2, 3, 5}, {2, 4, 5}, {3, 4, 5}

• subsets with card. 4:

{1, 2, 3, 4}, {1, 2, 3, 5}, {1, 2, 4, 5}, {1, 3, 4, 5}, {2, 3, 4, 5}

• subsets with card. 5:

{1, 2, 3, 4, 5}

Then P(S) is the set containing all of these sets,

{{}, {1}, {2}, {3}, …, {1, 2, 3, 4, 5}}

Answer:

88°

Step-by-step explanation:

RULES:

so.

because of rule 1, we do 180-120 to get 60, to get that right corner angle. Now, we know 2 angles. So, (because of rule 2), we can do 60+32 = 92, and 180-92 = 88

So, 1 = 88

Hope this helps! If it doesn't make sense, feel free to ask me to explain it further.

- profparis

Answer:

f<−1+15/x

Step-by-step explanation:

Answer:

The correct answer is C.56.

Hope this helps you czn!!!!

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