I don't know how to do this

Answers

Answer 1

Answer: $a_1=2;\ r=-(3)/(2)\n\na_2=a_1r\to a_2=2\cdot\left(-(3)/(2)\right)=-3\n\na_3=a_2r\to a_3=-3\cdot\left(-(3)/(2)\right)=(9)/(2)\n\na_4=a_3r\to a_4=(9)/(2)\cdot\left(-(3)/(2)\right)=-(27)/(4)\n\na_5=a_4r\to a_5=-(27)/(4)\cdot\left(-(3)/(2)\right)=(81)/(8)$

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What is the next term in the geometric sequence 16, –4, 1, –(1/4), … ?

Answers

$a_1=16;\ a_2=-4;\ a_3=1;\ a_4=-(1)/(4)\n\nq=a_2:a_1\n\nq=-4:16=-(1)/(4)\n\na_n=a_1\cdot q^(n-1)\n\na_n=16\cdot\left(-(1)/(4)\right)^(n-1)=16\cdot\left(-(1)/(4)\right)^n\cdot\left(-(1)/(4)\right)^(-1)\n\n=16\cdot\left(-(1)/(4)\right)^n\cdot(-4)=-64\cdot\left(-(1)/(4)\right)^n=(-4)^3\cdot\left(-(1)/(4)\right)^n=\left(-(1)/(4)\right)^(-3)\cdot\left(-(1)/(4)\right)^n\n\n=\left(-(1)/(4)\right)^(n-3)$

$a_5=\left(-(1)/(4)\right)^(5-3)=\left(-(1)/(4)\right)^2=(1)/(16)\n\na_6=\left(-(1)/(4)\right)^(6-3)=\left(-(1)/(4)\right)^3=-(1)/(64)\n\vdots$

The ratio of the radii of two circles is 3:7. What is the ratio of their circumferences? A. 1:1 B. 3:7 C. 3:14π D. 6π:7 E. 9:49

Answers

Hey there!!

The ratio radius is given as 3:7

... Let's take the first circle's radius as 3 and the radius of the second's circle as 7.

The formula for the circumference as 2π(radius)

The circumference of the first circle as 2π(3)

... 6π

The circumference of the second circle as 2π(7)

... 14π

Ratio = 6π:14π

... 3:7

Hence, the answer would be option (B)

Hope my answer helps!

Final answer:

The ratio of the circumferences of two circles is the same as the ratio of their radii. In this case, where the ratio of the radii is 3:7, the ratio of their circumferences will also be 3:7.

Explanation:

The ratio of the circumferences of two circles is equal to the ratio of their radii assuming all measurements are in the same units. This relationship is due to the formula for the circumference of a circle, C=2πr, where C is the circumference and r is the radius. Seeing this formula, we can ascertain that if we increase the radius, we increase the circumference by the same factor. Therefore, if the ratio of the radii of two circles is 3:7, the ratio of their circumferences will thereon also be 3:7.

Learn more about Circumference ratio here:

brainly.com/question/35438080

#SPJ3

What is the solution of the equation? 4.6x-3.7=14.7

Answers

To find the answer first you do 14.7 + 3.7 and you get 18.4

The last step is to do 18.4 divided by 4.6 and you get the final answer which is 4.

The answer is 4.

Answer:

Step-by-step explanation:

The equation starts out as 4.8x - 3.7 = 14.7,

Then you have to isolate the x variable to get: 4.8x = 14.7 + 3.7

It is + 3.7 because you have to do the inverse operation

Finally the equation becomes 4.8x = 18.4

So x = 3.833333333 repeating

What is the oblique asymptote of the function f(x) = the quantity x squared plus 5x plus 6 over the quantity x plus 4?

Answers

Answer:

$x+1$

Step-by-step explanation:

A slant (oblique) asymptote occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.

To find the slant asymptote you must divide the numerator by the denominator using either long division or synthetic division.

We are given a function:

$f(x)=(x^2+5x+6)/(x+4)$

Since in the given function the polynomial in the numerator is a higher degree than the polynomial in the denominator.

So, now to find oblique asymptote we will divide the numerator by the denominator

So, on dividing we get :

$f(x)=(x^2+5x+6)/(x+4)=x+1+\frac2{x+4}$ j

Now, As $x\to\pm\infty$ the remainder term disappears

So the oblique asymptote is the line $y=x+1$

Thus, the oblique asymptote of the function $f(x)=(x^2+5x+6)/(x+4)$ is $x+1$

$f(x)=(x^2+5x+6)/(x+4)=x+1+\frac2{x+4}$

As $x\to\pm\infty$ , the remainder term disappears, so the oblique asymptote is the line $y=x+1$ .

Clare and Han have summer jobs stuffing envelopes for two different companies. Clare's earnings can be seen in the table.

Number of Envelopes Money in Dollars
400 40
900 90
Han earns $15 for every 300 envelopes he finishes.

a. Who would make more money stuffing 1500 envelopes?

How much more would they make? $ more

b. What is the rate of change for each situation.

Clare = per

Hans = per

c. Who gets pair more in their job?

gets paid more.

Answers

Answer:

yes

Step-by-step explanation:

15 x 300 = 7500

In a restaurant, Chad tracked the number of children and adults that came in over an hour. During that time, 16 children and 40 adults came in the restaurant. What is the ratio of adults to children that came into the restaurant?a. 2:7
b. 5:3
c. 5:7
d. 5:2

Answers

you have 40/16
simplified by 8 and you have 5:2
so the answer is d. 5:2

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a company manufactures and sells novelty Mugs. the manufacturing cost consist of a fixed cost of R8000 and a variable cost of R15 rand per mug. the mugs are sold at R35 each. assume a linear profit function. determine the profit function

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Put it into greatest and least