i need help on this please​

[tex]\displaystyle h(x)=\int\limits_{1}^{\sqrt{x}}~\cfrac{z^2}{z^4+1}dz~\hspace{10em}\cfrac{dh}{du}\cdot \stackrel{chain~rule}{\cfrac{du}{dx}\implies \cfrac{dh}{dx}} \\\\[-0.35em] ~\dotfill\\\\ u=\sqrt{x}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{dh}{dx}\implies \displaystyle \cfrac{d}{du}\left[ \int\limits_{1}^{u}~\cfrac{z^2}{z^4+1}dz \right]\cdot \cfrac{1}{2\sqrt{x}}\implies \left[ \cfrac{u^2}{u^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}} \\\\\\ \stackrel{substituting~back}{\left[ \cfrac{(\sqrt{x})^2}{(\sqrt{x})^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}}}\implies \cfrac{x}{x^2+1}\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{\sqrt{x}}{2x^2+2}[/tex]

Answer:

see below

Step-by-step explanation:

If it decreases at  10.5 % per year then 89.5 % remains

Value =      y =  35 300 ( .895)^x

value when x = 5.5      y =  $ 19177.92

Answer:

900000

Step-by-step explanation:

the answer to "360000 is 40 percent of what number?" is 900000, and you can also derive that 40 percent of 900000 equals 360000.

Unit rate

Answer:

$0.08 per minute

Step-by-step explanation:

Unit rate :

Answer:

73947.52

Step-by-step explanation:

the equation would be 100000 * (0.988)^25

since time is 25 years, and rate is 0.988, since we are decreasing by 0.012.

Answer:

$84.42

Step-by-step explanation:

$4.02 x 21= $84.42

I hope this helps!!!

Answer:

YOU DO 4.02x21=84.42

Step-by-step explanation:

Because it is a cubic root, the argument can be positive and negative, so the domain is the set of all real numbers.

Here we have the function:

[tex]f(x) = \sqrt[3]{\frac{1}{2}*x - 10}[/tex]

Now, if this is a cubic root (as I understand what you wrote) then we can use any value of x inside of that function, because the degree is odd.

Is not the case of the square root, where the argument must only be positive.

With that in mind, we conclude that the domain is the set of all real numbers.

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Answer: C

Step-by-step explanation:

Edge 2023

Answer:

1.  smaller value of t = 5

   larger value of t = 9

2.  (7, 4)

Step-by-step explanation:

Given function:  [tex]h(t)=-(t-7)^2+4[/tex]

To find the zeros, set the function to zero and solve for t:

[tex]\begin{aligned}h(t) & =0\\\implies -(t-7)^2+4 & =0\\-(t-7)^2 & =-4\\(t-7)^2 & =4\\t-7 & =\sqrt{4}\\t-7 & =\pm 2\\t & =7\pm 2\\t & = 5,9\end{aligned}[/tex]

Vertex form:  [tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex

Therefore, the vertex of the given function is (7, 4)

Answer:

155

Step-by-step explanation:

Solution

[tex]\sqrt{155} *\sqrt{155}[/tex] is the same thing as [tex]\sqrt{155}^2[/tex], when we square a square root, we get the number that's inside the radical.

Given this method, we can easily say that [tex]\sqrt{155} * \sqrt{155}[/tex] is just [tex]155[/tex].

Another way:

Answer:

155.

Step-by-step explanation:

By the definition of a square root the answer is 155.

Answer:

S=49

Step-by-step explanation:

Any triangle has an interior angle of 180.

So just add them up and set the sum equal to 180 degrees.

2s+s+33=180

3s=180-33

3s=147 .   Divide both sides by 3 to isolate variable s

s=49

Answer:

  39, 40, 41

Step-by-step explanation:

Let x represent the middle integer. The sum of the three integers will be ...

  (x -1) +x +(x +1) = 3x

This is 40 more than 2 times the middle integer, so we have ...

  3x = 40 +2x

  x = 40 . . . . . . . subtract 2x

The three integers are 39, 40, 41.

_____

Additional comment

It often works well to solve consecutive integer problems by letting a variable represent the middle value, or the average of the integers.

Answer:

8.2

Step-by-step explanation:

the bigger numbers are 9.21 and 9.73 because they have a higher number and 8.9 and 8.2 are the lower ones but 9 is a bigger number than 2.

ΔAGF ≅ ΔCGE because they are both created from perpendicular diagonals that are intersected at the midpoint by line FE.

A perpendicular line is a straight line that is at right angle with another line. That is both lines intersect each other at right angles.

Lines EG and FG  are ≅ because the are dissected by a line that runs through the diagonal of rectangle ABCD

Lines JK ≅ HL because they are both created by parallel lines JL and HI.

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Answer:

The answer would be 90.

Step-by-step explanation:

There are two ways to solve this problem.
Option 1:  See that 88+36 is equal to 124. Then subtract 34 from 124 to get your answer of 90.
Option 2. See that you subtracted two from 36 to get 34. To balance the equation out, you must add two to 88 to get an answer of 90.
I hope this helps! :)

Hey there!

88 + 36 VS ? + 34

88 + 36 VS x + 34

88 + 36 = x + 34

124 = x + 34

NEW EQUATION:

124 = x + 34

x + 34 = 124

SUBTRACT 34 to BOTH SIDES

x + 34 - 34 = 124 - 34

SIMPLIFY IT!
x = 124 - 34

x = 90

Therefore, the mystery number/answer is: 90

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

21.25=4.25p

Step-by-step explanation:

Ms. diaz buys strawberries by the pound at a farmer's market. she pays $21.25 for all her

strawberries. one pound of strawberries costs $4.25.

1/5

The equation to represent the situation is 4.25p=21.25.

Ms. Diaz buys 5 pounds of strawberries.

A mathematical statement that is made up of two expressions connected by an equal sign.

Given:

Mr. Diaz pays for strawberries = $21.25

price for one pounds = $4.25

Then,

Number of pounds * cost  = Total cost for strawberries.

p * 4.25 = 21.25

p = 21.25 / 4.25

p = 5

Hence, the equation that can represent 4.25p=21.25

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Answer:

Step-by-step explanation:

Height = h = 18 m

Radius = r = 19 m

Volume of cylinder:

[tex]=\pi r^2h[/tex]

[tex]=(3.14)(19)^2(18)[/tex]

[tex]=(3.14)(361)(18)[/tex]

[tex]=20403.72[/tex] [tex]m^3[/tex]

Using proportions, it is found that the length of the living room in the scale drawing is of 4/3 ft.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The scale factor of 1/18 means that on the drawing, each ft represents 18 ft. Hence how many ft represent 24 feet?

[tex]f = \frac{1}{18} \times 24 = \frac{24}{18} = \frac{4}{3}[/tex]

Hence, the length of the living room in the scale drawing is of 4/3 ft.

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Answer:

The guy above is right its 4/3

Step-by-step explanation:

Hope this helped!!!

Please correct me if i'm wrong! :D

Answer:

3.5 inches by 4 inches

Step-by-step explanation:

Answer:

hope this will help you thank you

it can be also written as 1/5x-5

The number of unique random numbers that need to be selected from the table of random digits will be A. 3.

It should be noted that a random number simply means a number that occurs when it is impossible to predict it.

From the information given, there are 1200 subjects and there are three treatments. In order to get treatment number, there must be three unique random numbers.

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Answer:

  65.8

Step-by-step explanation:

The Law of Sines can be used to find side values from angles when a side and its opposite angle are given.

__

The relation is ...

  a/sin(A) = b/sin(B)

Solving for 'a' gives ...

  a = b·sin(A)/sin(B) = 100·sin(18°)/sin(28°)

  a ≈ 65.8

Answer:

7 1/15 ( mixed number )

Step-by-step explanation:

First, add...

4 + 2 = 6

Then as you can see you can't add when both denominators are not the same so multiply 5 and 3 and you get 15

Then do...

2/5 x 3/3 = 6/15

And...

2/3 x 5/5 = 10/15

Then add...

6/15 + 10/15 = 16/15

But this number is an improper fraction so the mixed number for it is...

1 1/15 + 6 = 7 1/15

So this gives us the final answer of 7 1/15 ( mixed number )

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Answer:

N < -3

Step-by-step explanation:

first off, simply, then subtract the 9s from both sides.

5n < -6 -9

Simplify -6 -9 to -15 , Which gives you

5n < -15

then, divide both sides by 5.

n < 15/5

Simplify 15/5 to 3, Which give you

N < -3

here is your answer.

N < -3

Answer:

A. Horizontal Stretch and vertical shift down 4

Step-by-step explanation:

When multiplying by a number greater than one, its a stretch. When it is less than one it is a compression.

2 is greater than 1 so its a horizontal stretch.

When there is a number outside of the () then that number determines how high or how low you go depending on the sign.

Our number is -4 so we go down 4.

Step-by-step explanation:

7+5+8+5=25 All the paintings

paintings of summer:8

8 of 25

25×4=100

8×4=32

paintings of summer:32%

Answer:

blue to all triangles ratio: 1 : 78.5

Step-by-step

so first the total amount of triangles is 4 blue triangles to 314 total triangle or 4/314

you could just leave it like that or simplify it by dividing both sides by four getting 1 : 78.5

Answer:

see below-

Step-by-step explanation:

1st one- congruent

boxes- m1 and m2 , m2 and m3

2nd line- supplementary

m1 and m3

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

The sphere is a a solid 3-dimensional object. THe formula for calculating its volume is expressed as:

V = 4/3πr³

where:

r is the radius of the sphere

For the outer sphere:

V = 4/3π(20)³

For the inner sphere:

V = 4/3π(4)³

The volume of the shaded part in cubic units is  4/3π(20)³ -  4/3π(4)³

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Answer:

D

Step-by-step explanation:

Triangle ABC would remain the same because a dilation generally preserves the measure of an angle.

A scale factor simply refers to a ratio of two (2) corresponding side lengths or diameter in two (2) similar geometric figures such as triangles.

In this exercise, you're required to construct a dilation of triangle ABC that is centered at B with a scale factor of 2 by using a compass and straightedge.

In conclusion, triangle ABC would remain the same because a dilation generally preserves the measure of an angle.

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Answer:

0.922

Step-by-step explanation:

→ State the distribution

X ~ N ( 1000 , 100² )

→ State the required probability

p ( 840 < x < 1200)

→ Enter upper bound as 1200 and lower as 840 on the normal cumulative distribution

0.922