determine the inverse of the function. (show work please)

Answer:

an = 56-8(n-1)

Step-by-step explanation:

This is an arithmetic sequence

The common difference is 48 - 56 =-8

a1 = 56

an = a1+d(n-1)

an = 56-8(n-1)

The region of integration in the xy-plane for the given integral ∫∫R √(4xy) dy dx, where R is the region bounded by x = 0, x = -3, y = 0, and y = -9 - x^2, can be visualized as a triangular region in the first quadrant.

The given integral is a double integral of the function √(4xy) over a specific region in the xy-plane. To determine the region of integration, we consider the given bounds: x ranges from 0 to -3, and y ranges from 0 to -9 - x^2.

Starting with the x bounds, x = 0 represents the y-axis, while x = -3 represents a vertical line passing through the point (-3, 0). Thus, the region is bounded by the y-axis on the left and the vertical line x = -3 on the right.

Moving on to the y bounds, y = 0 represents the x-axis, while y = -9 - x^2 represents a downward-opening parabola with its vertex at the origin and its axis of symmetry parallel to the y-axis. Since y is negative, the parabola lies below the x-axis.

By combining the x and y bounds, we obtain a triangular region in the first quadrant. The triangle is formed by the x-axis, the line x = -3, and the curve y = -9 - x^2. This region of integration represents the area over which the function √(4xy) is being integrated.

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Answer:

Domain: -4 < x < 4

Zeros: (-2, 0), (0, 0) and (2, 0)

The function is positive if: 0 < x < 2

The function is negative if: -4 < x < 0 and 2 < x < 4

Step-by-step explanation:

Domain of the function are those x values where the function is defined, For this case, -4 < x < 4

Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)

The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)

The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)

Answer:

[tex](B)0.2\overline{6}[/tex] (0.2ModifyingAbove 6 with bar)

Step-by-step explanation:

We want to find the decimal equivalent of 4/15.

[tex]\dfrac{4}{15}=0.266666666.....[/tex]

Since the number 6 recurs/repeats indefinitely, we write the recurring decimal as:

[tex]0.266666666.....=0.2\overline{6}\\$Therefore:\\4/15=0.2\overline{6}[/tex]

The correct option is B.

Answer:

i got you bro the answer is 0.26 with a  line on top of the 6

Answer:

8 units for the length

Step-by-step explanation:

Let l = length

w = width

l = w+3

A = l*w

substitute what we know

40 = (w+3) *w

distribute

40 = w^2 +3w

Subtract 40 from each side

0 = w^2 +3w -40

Factor

0 = (w+8) (w-5)

Using the zero product property

w+8 =0   w-5=0

w= -8   w=5

Since the width cannot be negative

w=5

l = w+3 = 5+3

l = 8 units

Answer:

V = 1/3 * πr²*h

Step-by-step explanation:

That's the formula for volume of a cone

Answer:

Domain: x >0

Range : y < 0

Step-by-step explanation:

Answer:

12 = k

Step-by-step explanation:

Begin: 27.5 = 3 + 5 (k-9.5)

1. Always begin with the parenthesis, which is 5(k-9.5), which comes out to be 5k - 47.5 since the 5 must be multiplied by the k and the -9.5.

Now: 27.5 = 3 + 5k - 47.5

2. Combine the 3 and -47.5, which comes to be -44.5

Now: 27.5 = -44.5 + 5k

3. Add 44.5 to both sides, to make the right side have only the 5k, and the left side to have 72

27.5 + 44.5 = -44.5 + 44.5 + 5k

Now: 72 = 5k

4. Divide both sides by 5 to be left with just what k equals

72/5 = 5k/5

Final Answer: 12 = k

Answer:

Step-by-step explanation:

sin= - square root 3/2                

cos= -1/2

tan= square root 3

csc= -2 square root 3/2

sec= -2

cot= square root3/4

Answer:

[tex]\sin\left(\frac{4\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\frac{\sqrt{3}}{3}[/tex]

We first find the corresponding angle of 4π/3.

[tex]\frac{4\pi}{3}-\pi=\frac{\pi}{3}[/tex]. And 4π/3 is in the third quadrant. There tan and cot are positive and rest are negative.

[tex]\sin\left(\frac{4\pi}{3}\right)=-\sin\left(\frac{\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\cos\left(\frac{\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\tan\left(\frac{\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\csc\left(\frac{\pi}{3}\right)=-\frac{2}{\sqrt{3}}=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-\sec\left(\frac{\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\cot\left(\frac{\pi}{3}\right)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

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Answer:

x = 12.24

Step-by-step explanation:

In any circle the following ratio can be used.

[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{x}{360}[/tex] , substitute values

[tex]\frac{1.88}{2(8.8)\pi }[/tex] = [tex]\frac{x}{360}[/tex] ( cross- multiply )

17.6π x = 276.8 ( divide both sides by 17.6π )

x = [tex]\frac{276.8}{17.6\pi }[/tex] ≈ 12.24

Answer:

12.24°

Step-by-step explanation:

I hope it helps :)

Answer: 90 mins

Step-by-step explanation:

1hr=60 mins+ 30 mins

Answer:

90 minutes.

Step-by-step explanation:

Conversion ratio of hours to minutes:

1 hour = 60 minutes.

Add the two numbers together:

60 minutes + 30 minutes = 90 minutes.

90 minutes is your answer.

~

Answer:

4 buckets

Step-by-step explanation:

40 divided by 10 is 4

Answer:

4 bucket

Step-by-step explanation:

We can either use division or repeated subtraction in this case! Division is easier!

40/10 = 4

4 groups of 10 is what this looks like! (In this case, 4 buckets of 10 seashells)

Answer:

Hi can you please tell of which grade question is this ?

Answer:

C

Step-by-step explanation:

Congruent corresponding angle makes triangle similar. For triangles to be congruent both the corresponding angles and the corresponding sides must be congruent.

Answer:

stop and save

Step-by-step explanation:

The reason for this is because if you can buy 5 apples for 1 dollar so that is 20 cents each but the other one is 45 cents for 1 apple at quick market

Answer:

stop and save because you can get two additional apples paying only 95 cents

Step-by-step explanation:

3x1.35= 4.05

5x1=5

Diagrams can be drawn using scale ratios, which can either represent enlargement or compression

The dimensions of the side elevation are given as:

0.5 m, 2 m and 0.5 m

The dimensions of the front elevation are given as:

2 m and 2 m

Using a scale of 2 squares to 1 m, the scaled dimensions become:

See attachment for illustration of the scaled measurement

Read more about scales and dilations at:

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Answer:

I can not see the question

Step-by-step explanation:

Answer:

imposable posable and all the way down like that

Step-by-step explanation:

Answer:

15x^4+2x^3-8x^2-22x-15

Step-by-step explanation:

Answer:

Your answer is

5x^4+2x^3-8x^2-22x-15

Step-by-step explanation:

I just simplified

Answer:

47.13cm

Step-by-step explanation:

2×3.142×7.5cm

Answer:

47.13

Step-by-step explanation:

c=2πr

c=2×3.142×7.5cm

c=6.284×7.5cm

c=47.13cm

Answer:

A

Step-by-step explanation:

Answer:

A. 9

C. 16  

E. 169

F. 625

Step-by-step explanation:

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

Explanation:

C and D are inverses of each other. When they multiply together, they will produce the identity matrix I

C*D = I

D*C = I

note: this is the uppercase letter 'i' and not the number one. The 'i' stands for 'identity'. Another thing to note is that matrix multiplication is not normally commutative, but it works for matrix inverses.

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

So this means C*D*D = (C*D)*D = (I)*D = I*D = D because multiplying the identity matrix with some matrix X leads to the same matrix X.

This is why the first choice is the answer.

The second choice doesn't work because C*C*D = C*(C*D) = C*(I) = C*I = C

The third choice doesn't work because we don't have any C's here. All we can say is that D*D*D = D^3

Similarly choice 4 doesn't work as all we can say is C*C*C = C^3.

Answer:

What number, when added to negative four is equal to negative five.

Step-by-step explanation:

Rearange the numbers to get -4+g=-5.

This eqation now reads -4 plus a number g is equal to -5, and can also be read as what number (g) added to -4 = -5.

If we were to solve for g we would get g= -1.

Hope this helps!

G=-1          so

What number, when added to negative four, is equal to negative five

Answer:

Pet Hotel: 42.50 x + 64 y =277

Animal Spa: 35.50x + 50.5y = 225.50

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each place:

For Pet Hotel, the total cost (277) must be equal to the product of the number of cats (x) and the charge per cat (42.50) plus the product of the number of dogs (y) and the charge per dog (64) .

Mathematically speaking:

Pet hotel: 42.5 x + 64 y =277

Same process for Animal Spa:

Animal Spa: 35.5 x + 50.5y = 225.50

The system is:

42.5 x + 64 y =277 (Pet Hotel)

35.5 x + 50.5y = 225.50 (Animal Spa)

Answer:

So for the first spinner, the probability of the arrow pointing to blue on a spin is 1/4, the probability of it pointing to green is 1/4 and so on. This assumes that each section is the same physical size.

Step-by-step explanation:

Answer:

Where is the picture

Step-by-step explanation:

Answer:172in

Step-by-step explanation:

Answer:

SA=172

Step-by-step explanation:

SA=2lw+2wh+2lh

=2(10)(2)+2(2)(5.5)+2(10)(5.5)

=172

Answer:-1.277778 i think

Step-by-step explanation:

i think this means h(x) = (17+6)÷x

in which case h(-18) = (17+6)÷(-18) = -1.2777778

would help if you put the question in standard format