hi I'm having some trouble

[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:

Move decimal points in 726.02, 3 points in the left direction

Step-by-step explanation:

Given

Quotient of 726.02 and 1000

This is represented as:

The denominator 1000 has 3 zeros.

This implies that the decimal points will be moved in the left direction by 3 points.

So:

For addition   1.)  28  /  5 2.) 27  / 4  3.)  45  /  8 4.)  4  /  3 5.)  23  /  18

For Subtraction 1.)  27  /  5 2.) 20 /  3 3.) 23  /  6 4.) 6 / 5 5.) 16 / 3

The method of summing up the given data is called addition. A method of removing certain data from the given data is called subtraction.

Addition

1.)  28  /  5

2.) 27  / 4

3.)  45  /  8

4.)  4  /  3

5.)  23  /  18

Subtraction

1.)  27  /  5

2.) 20 /  3

3.) 23  /  6

4.) 6 / 5

5.) 16 / 3

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Answer:

x=5 y=2

Step-by-step explanation:

3x-6y=3

3x=3+6y

x=1+2y

Substitute x for 4x+6y=32

4+8y+6y=32

4+14y=32

14y=28

y=2

3x-12=3

3x=15

x=5

1. 1 pound = 16 ounces

2. 21 pounds * 16 ounces = 336 ounces

3. 336 ounces ÷ 4 baskets = 84 ounces per basket

OR

1. 1 pound = 16 ounces

2. 21 pounds ÷ 4 baskets = 5.25 pounds per basket

3. 5.25 pounds * 16 oz = 84 ounces per basket

Hope this helps!!

Answer:

I think that answer is 65....Broo 65 or what broo...

Answer:

5

Step-by-step explanation:

if CFD is 12x and DFE is 6x that means CFE is 18x. 18x has to be equal to 90 degrees because CFED is a rectangle and each corner of a rectangle is 90 degrees.

so:

18x=90

x=5

Answer:

19n+9u=7500 and 4u-n

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

10,099.80

Step-by-step explanation:

Given: The principal amount (P)= $8,000

The rate of interest (i)= 6 % = 0.06

Time = 4 years

The formula to calculate the compound amount in x years is given by :-

Then the compound amount received by Matthew after 4 years will be:_

Hence, the total amount that Matthew's bank will receive afeter 4 years =$10,099.80

Answer:

$10,099.82

Step-by-step explanation:

Given formula:  [tex]\sf TA = P (1+i)^t[/tex]

where:

Given:

Substituting the given values into the formula:

[tex]\implies \sf TA=8000(1+0.06)^4[/tex]

[tex]\implies \sf TA=10099.81568[/tex]

Therefore, the total amount the Matthew's bank will receive is $10,099.82

Answer:

x = 22, y = 11√3

Step-by-step explanation:

Here,

x is the Hypotenuse side

y is the adjacent side.

11 is the opposite side.

Formula : -

sin θ = Opposite side / Hypotenuse side

Here,

θ = 30

Note : -

The value of sin 30 = 1 / 2

1 / 2 = 11 / x

Cross multiply,

x * 1 = 2 * 11

x = 22

By Pythagoras theorem,

11² + y² = x²

11² + y² = 22²

y² = 22² - 11²

22² = 11² x 2²

11² = 11² x 1²

y² = 11² ( 2² - 1 )

y² = 11² x ( 4 - 1 )

y² = 11² x 3

Square root on both sides,

y = 11√3

Answer:

cupboard is 1.2 m wide.

Will a stick 1m 5cm long fit across the cupboard?

Give reasons for your answer

Answer:

70 offices

Step-by-step explanation:

21 ÷ 3 to get amount per floor, 7 per floor, 7 × 10 = 70, 70 offices

Answer:

see below-

Step-by-step explanation:

1st one- congruent

boxes- m1 and m2 , m2 and m3

2nd line- supplementary

m1 and m3

Answer:

32

Step-by-step explanation:

Multiply both sides by 8.

y/8 = 4

y/8 × 8 = 4 × 8

y = 32

Answer:

With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:78,300 - 6,500 = 71,800 (this is your new taxable value)71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.Your answer is A.

Answer:

Step-by-step explanation:

With the assumption being made that the 401-k deductions are pre-tax deductions your calculation is as follows:

78,300 - 6,500 = 71,800 (this is your new taxable value)

71,800 * 0.27 = 19,386 (This is the amount that will be withheld in income taxes per year.

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:

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.

The number  2√5×3√6 is irrational, number √42/√168 is rational as we know π is an irrational number but 22/7 is rational.

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

= 2√5×3√6

= 6√30

= √1080 = 32.863353450309965

The number is irrational.

= √42/√168

= 1/2

The number is rational.

= 5(4√5 - 3√5)

= 5√5

= √125 = 11.180339887498949

The above number is irrational.

= √64/32

= 1/4

The above number is rational.

= (5√3—√3)/2√3

= 2

The above number is rational.

Similarly, we can find whether a number is irrational or rational

Thus, the number  2√5×3√6 is irrational, number √42/√168 is rational as we know π is an irrational number but 22/7 is rational.

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Answer:

the Danyang–Kunshan Grand Bridge

The world's longest bridge is the Danyang–Kunshan Grand Bridge in China, part of the Beijing-Shanghai High-Speed Railway, according to Encyclopaedia Britannica (opens in new tab). The bridge, which opened in June 2011, spans 102.4 miles (165 kilometers)

Answer:

Danyang–Kunshan Grand Bridge

Step-by-step explanation:

Answer:

[tex]69500[/tex]

Step-by-step explanation:

[tex] \frac{695000}{1} \times \frac{10}{100} \\ \\ = 69500[/tex]

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.

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:

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