Select <, >, or = to make the expression true.

Answer:

[tex]g'(x) = \frac{x^2}{100} +2[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 10\sqrt{x - 2[/tex]

Required

Determine the inverse function

[tex]g(x) = 10\sqrt{x - 2[/tex]

Replace g(x) with y

[tex]y = 10\sqrt{x -2[/tex]

Swap the positions of x and y

[tex]x = 10\sqrt{y -2[/tex]

Divide through by 10

[tex]\frac{x}{10} = \sqrt{y - 2[/tex]

Square of both sides

[tex]\frac{x^2}{100} = y - 2[/tex]

Make y the subject

[tex]y = \frac{x^2}{100} +2[/tex]

Replace y with g'(x)

[tex]g'(x) = \frac{x^2}{100} +2[/tex]

Hence, the inverse function is: [tex]g'(x) = \frac{x^2}{100} +2[/tex]

Answer:

$35.39

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

The answer is 47 as (18+7)×2-3=47.

hope this helps,have a great day!!

~Pinky~

An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the statement "add 8 and 17, double the sum, and then subtract three​" is 47.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The solution for the statement "add 8 and 17, double the sum, and then subtract three​" can be done as,

2(8+17) - 3

= 47

Hence, The solution for the statement "add 8 and 17, double the sum, and then subtract three​" is 47.

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Answer:

x ≤-3

Step-by-step explanation:

Answer:

the answers to this are x= 1 and y= 9

Answer:

97

Step-by-step explanation:

hope this helps :)

Answer:

Wwhatwhatwhatwhatwhat

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

You must have smacked your keyboard

377?.378f5885246799448855

If you think about I would suggest B only because it makes more sense but I might be wrong..

Hope this helped a little!

The solution is Option A.

The equation of line is y = 0.25x + 1.5 , where the slope m = 0.25

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The initial length of the baby fish is b = 1.5 cm

The baby fish grew at a rate of 0.25 centimeter per week

So , the slope of the line m = 0.25 cm

And , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

y = 0.25x + 1.5   be equation (1)

Hence , the equation of line is y = 0.25x + 1.5

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Answer:

120.105 square feet.

Step-by-step explanation:

Given that the radius of a cylindrical construction pipe is 1.5 ft, to determine its volume, given that the pipe is 17 ft long, the following calculation must be performed, knowing that the volume of a cylinder arises from multiplying the number pi by the radius at square of the cylinder, and that result by the height of it:

(3.14 x (1.5^2)) x 17 = X

(3.14 x 2.25) x 17 = X

7.065 x 17 = X

120.105 = X

Thus, the volume of the cylinder is 120.105 square feet.

Answer:

Outside.

Step-by-step explanation:

7^2 + 4^2 = 62

65 does not equal 62 so outside of the circle.

Answer:

B) y/9 = 3

Step-by-step explanation:

What makes an equation is that two things are equal. It consists of two expressions, one on each side of an 'equals' sign.

Only choice B does that

Answer:

1) D) y = 2x+3

2) B) y = -3/2(x)-5

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

the number 30 is not listed in the problem there that is info that is not there

Answer:x=-1

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

1cm:1000cm

100m=10000cm

so if 1cm=1000cm what about 10000cm

=0.1

Answer:

8.3 ft

Step-by-step explanation:

Hypotenuse is the longest side

Opposite is the side opposite the angle

Adjacent is the remaining side

Draw the triangle out, and you'll find that the hypotenuse (length of ladder) is 12ft, and that you are looking for the adjacent side (length of the foot of the ladder to the building). Rule out the opposite side (side of building) as it is not needed. The appropriate trigonometric formula is then the [tex]cos(angle) = \frac{adjacent}{hypotenuse}[/tex], rearranged to find the adjacent side is [tex]adjacent = cos(angle)*hypotenuse[/tex]  

substitute the values in and you get cos(46) x 12 = 8.335900446

Answer:

Step-by-step explanation:

Let,

The number be = n

According to the question,

First 7 times of n = 7n

Sum of 10 and the number = 7n + 10

Said that,

The sum of 10 and 7 times of the number is 59.

Therefore,

By the problem ,

=> 7n + 10 = 59

=> 7n = 59 - 10

=> 7n = 49

[tex] = > n = \frac{49}{7} [/tex]

=> n = 7

Hence,

The required number is 7 (Ans)

Answer:

6  5

Step-by-step explanation:

4 5  6 7

Answer:

-23

Step-by-step explanation:

Answer:

the answer to the problem is d

Answer:

800

Step-by-step explanation:

20 lines per page with 20 words per line means 400 words per page

2 pages means 400 x 2 which is 800 words

Answer:

base = 8 m

Step-by-step explanation:

base = (2* area) ÷ height    

        [tex]= \frac{2*36}{9}[/tex]

        = 2 * 4

        = 8 m

9514 1404 393

Answer:

  562.5π in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = 4/3πr³

where r is the radius, half the diameter.

  V = (4/3)π(7.5 in)³ = 562.5π in³

Answer:

aint random

Step-by-step explanation:

The sample is not random. For being a random sample opinion of all the students must be taken whether they are eating hot lunch or not.

A random sample is a subset of a statistical population where "each subset member has the same probability of being picked". A random sample is meant to accurately reflect a group of people.

Random sampling is used in science to conduct blinded studies or randomized control testing.

This sample cannot be called a random sample. This is because a "random sample is an unbiased representation of the group and here we have not taken the opinions of the students who don’t eat hot lunch". So this sample can’t be a random one.

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Answer:

A)  7

Step-by-step explanation:

x + 5 = 2x - 2

7 + 5 = 2(7) - 2

12 = 12

Answer:

a is your answer

Step-by-step explanation:

Answer:

5009.206

Step-by-step explanation:

The answer is 5009.206. We see that the first portion of this question asks, "(5×1,000)+(9×1)". 5x1000 is 5000. 9x1 is 9. 5000+9= 5009. The second portion of this question asks for the numbers that go after the decimal. 2x1/10 is 2/10. 6x1/1000 is 6/1000. The decimal place stands for one. So we do .206. If the decimal stands for ones that means in this case the 2 is in the tenths place (like it should be since the question asks for 2/10) and the 6 is in the 1000 place (like it should be since the question asks for 6/1000). We add this up together and our answer is 5009.206. Hope this explanation helps! Happy learning!

Answer:

Step-by-step explanation:

[tex](x - -2)^{2} + (y - 4)^{2}[/tex]

[tex](x + 2)^{2} + (y - 4)^{2} =36[/tex]

The equation of the circle with a radius of 6 and center (-3, 4) is (x + 3)² + (y - 4)² = 36.

The equation of a circle with radius r and center (h, k) is given by:

(x - h)² + (y - k)² = r²

Radius (r) = 6

Center (h, k) = (-3, 4)

Plugging these values into the equation, we have:

(x - (-3))² + (y - 4)² = 6²

(x + 3)² + (y - 4)² = 36

Therefore, the equation of the circle with a radius of 6 and center (-3, 4) is (x + 3)² + (y - 4)² = 36.

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Answer:

5

Step-by-step explanation:

Answer:

The answer above is correct, a triangular prism has 5 faces.

Step-by-step explanation:

Count the faces that it has.

Answer:

560 sq ft

Step-by-step explanation:

Let's start with the rectangle

20 x 24 =

2(24) * 10 =

48 * 10 = 480

Now the triangle

8 x 1/2(20 = 8x10 = 80

480 + 80 = 560 sq ft

If my answer is incorrect, pls correct me!

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-Chetan K