i need help fast plz

The dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

Represent the side length of the square with s, and the radius of the circle with r.

So, the perimeter (P) and the area (A) of the shape are:

[tex]P =4s + 2\pi r[/tex]

[tex]A =s^2 + \pi r^2[/tex]

The perimeter is 16. So, we have:

[tex]4s + 2\pi r = 16[/tex]

Divide through by 4

[tex]s + 0.5\pi r = 4[/tex]

Make s the subject

[tex]s = 4 - 0.5\pi r[/tex]

Substitute [tex]s = 4 - 0.5\pi r[/tex] in [tex]A =s^2 + \pi r^2[/tex]

[tex]A = (4 - 0.5\pi r )^2 + \pi r^2[/tex]

Expand

[tex]A = 16 - 4\pi r + 0.25(\pi r)^2 + \pi r^2[/tex]

This gives

[tex]A = 16 - 4\pi r + (0.25\pi^2 + \pi )r^2[/tex]

Differentiate with respect to r

[tex]A' = 0 - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]

[tex]A' = - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]

Set to 0

[tex]- 4\pi + 2(0.25\pi^2 + \pi )r =0[/tex]

Add 4pi to both sides

[tex]2(0.25\pi^2 + \pi )r =4\pi[/tex]

Divide both sides by 2

[tex](0.25\pi^2 + \pi )r =2\pi[/tex]

Make r the subject

[tex]r =\frac{2\pi}{(0.25\pi^2 + \pi )}\\[/tex]

Factor out pi

[tex]r =\frac{2\pi}{\pi(0.25\pi + 1 )}[/tex]

Cancel out the common factors

[tex]r =\frac{2}{0.25\pi + 1 }[/tex]

Express pi as 3.14

[tex]r =\frac{2}{0.25\times 3.14 + 1 }[/tex]

[tex]r =\frac{2}{1.785}[/tex]

Divide

[tex]r =1.12[/tex]

Recall that:

[tex]s = 4 - 0.5\pi r[/tex]

This gives

[tex]s =4 -0.5 \times \pi \times 1.12[/tex]

This gives

[tex]s =4 -0.5 \times 3.14 \times 1.12[/tex]

[tex]s =2.24[/tex]

Hence, the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

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Answer:

x=1

Step-by-step explanation:

If V is the midpoint of the line UW, that would mean that there's an equal distance between UV and 9x. So, the value of UV and VW would eed to be the same.

x+8=9x

8=8x

x=1

Answer:

ANSWER 4

Step-by-step explanation:

the hcf is 420 and then u say 2x2=4 simple

assuming the fraction is 1/11, the denominator shows how many parts the WHOLE was sliced into, namely 11 parts.

Answer:

Irrational number because it cannot be written in fraction form a/b where b is not supposed to be 0

Recall that

(x + y)² = x² + 2xy + y²

Then if x + y = √7 and x² + y² = 6, we have

(√7)² = 6 + 2xy   ⇒   2xy = 1

We also have

(x - y)² = x² - 2xy + y²

so that

(x - y)² = 6 - 1   ⇒   (x - y)² = 5

which means x - y has two possible values, √5 or -√5.

Answer:

Step-by-step explanation:

Calculus....finally something FUN to answer!

This is integration, but here you have the area under the curve, you just don't have the upper bound. Setting that problem up looks like this:

[tex]28=\int\limits^b_1 {7x} \, dx[/tex]  and using the First Fundamental Theorem of Calculus, that will integrate to look like this:

[tex]28=\frac{7x^2}{2}[/tex] from 1 to b and applying the FTC:

[tex]28=\frac{7b^2}{2}-\frac{7}{2}[/tex]  Multiplying everything by 2 to get rid of the denominators gives you:

[tex]56=7b^2-7\\\\56=7(b^2-1)\\8=b^2-1\\9=b^2\\b=3[/tex]

Answer:

50 miles

Step-by-step explanation:

Take the number of miles and divide by the number of gallons

400 miles / 8 gallons

50 miles per gallon

Answer:

50 miles

Step-by-step explanation:

if for each 8 gallons it can go to 400 miles

so the 8 will be divided to 8 and get 1

and also divide the 400 into 8 you will get 50 miles per 1 gallon

Answer:

x +2y = 2 ...... 1

7x + 10y = 2 ..... 2

x = 2 - 2y ..... 3

substitute 3 in 2

7(2 - 2y) + 10y = 2

14 - 14y + 10y = 2

14 - 4y = 2

- 4y = 2 - 14

- 4y = - 12

divide by - 4 on both sides

y = 3

substitute the value of y in 3

× = 2 - 2(3)

x = - 4

(x ; y )

(- 4 ; 3)

Answer:

It's 48.

Hope that helped? Also, if you need anymore answers feel free to ask me as I had that assignment on Mathswatch.

Step-by-step explanation:

Answer:

i think it's 48 if i'm wrong i'm sorry

Answer:

3 big guys

Step-by-step explanation:

Answer:

Step-by-step explanation:

we find by synthetic division.

v-8=0

v=8

8 |  3  -34   79   5   21   19

  |  -     24  -80 -8  -24 -24

  |----------------------------------

     3   -10    -1   -3    -3  |-5

Quotient:-3v^4-10v³-v²-3v-3

Remainder:- -5

Answer:

B

Step-by-step explanation:

The line goes left which means its going to be less than 4.

Answer:

[B] x < 4

Step-by-step explanation:

First you must know the following:

> ⇒ greater than

< ⇒ less than

≥ ⇒ greater than or equal to

≤ ⇒ less than or equal to

= ⇒ equal

When going to the left it means less than

Thus, we can conclude that

x < 4

Kavinsky

Answer:

A. 0 <= x <= 8

Step-by-step explanation:

4 <= x + 4 <= 12

Remove 4 from all sides

4 - 4 <= x + 4 -4 <= 12 - 4

0 <= x <= 8

[tex]\dfrac x6 - \dfrac y3 =1\\\\\\\implies \dfrac x6 - \dfrac{2y}6 = 1\\\\\\\implies \dfrac{x-2y}6 =1\\\\\\\implies x -2y =6\\\\\\\implies x =6+2y\\\\\\\implies x = 2(3 +y)[/tex]

Answer:

3

Step-by-step explanation:

The sum of the given series can be found by simplification of the number

of terms in the series.

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

Therefore, for the last term we have;

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

[tex]\displaystyle \frac{A}{2} = \mathbf{ 1011 \cdot \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460} \right)}[/tex]

[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2} +\frac{1}{2} - \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022} \right)[/tex]

Which gives;

[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2022} \right)[/tex]

[tex]\displaystyle A = 2 \times 1011 \cdot \left(1 - \frac{1}{2022} \right) = \frac{1032231}{511} \approx \mathbf{2020.022}[/tex]

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A is equal to 1,685.00049.

Given that A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021, the following calculation must be performed to determine the result of this operation:

Therefore, A is equal to 1,685.00049.

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Answer:

$245

Step-by-step explanation:

0.7 * 350 = 245

The normal price of the television, if The normal price of a television is reduced by 30% in a sale, The sale price of the television is £350, is £500.

The price at which something sells or is purchased following a price reduction. The cost that something is sold for. In other words, the price at which something is sold to a customer is called the sale price

Given:

The normal price of a television is reduced by 30% in a sale,

The sale price of the television is £350,

Write the equation of the above statement as shown below,

Normal price - 30% of normal price = Sale price

Substitute the value,

Normal price(1 - 0.30) = £350  

Normal price = 350 / 0.7

Normal price = £500

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#SPJ2

Answer:

Step-by-step explanation:

1. False

2. False

3. True

4. True

5. True

6. True

7. True

8. True

9. True

10. False

Answer:

D <----last option  Domain is set of real numbers or (-∞,+∞)

Answer:

d

Step-by-step explanation:

same explanation as before just replace the current values with the previous explanation

Answer:

After a quick stint of attempting to read the graphs I would speculate D

Using error concepts, it is found that the option that represents a Type I error is:

The definitions of each type of error are as follows:

In this problem, the Hypothesis are:

By the definition of a Type I error, in this problem, it would consist in saying that a finance major student is a music industry management major student, hence option d is correct.

You can learn more about Type I and II errors at https://brainly.com/question/25225353

Answer:

[tex]?=4[/tex]

Step-by-step explanation:

[tex]\frac{?}{5}=\frac{8}{10}[/tex]

[tex]\frac{2?}{10}=\frac{8}{10}[/tex]

[tex]2?=8[/tex]

[tex]?=4[/tex]

Answer: 67°.

Step-by-step explanation:

1) m∠PMR=m∠LMN=3x+19°;

2) m∠LMN+m∠LMP=180°, it can be written as 3x+19+9x-31=180;

3) if to solve the equation 3x+19+9x-31=180, then x=16;

4) m∠PMR=3x+19=48+19=67°.

Answer:

D

Step-by-step explanation:

F(g) falls between 0 and 49.58

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathbf{4(3.5 - 1.5) - \dfrac{1}{2}}\\\\\mathbf{\rightarrow 4(2) - \dfrac{1}{2}}\\\\\mathbf{\rightarrow 8 - \dfrac{1}{2}}\\\\\mathbf{\rightarrow \dfrac{15}{2} \approx 7.5 \approx \boxed{\bf 7 \dfrac{1}{2}}}\\\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{Option \ B. \ 7 \dfrac{1}{2}}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

[tex]\huge \bf {Question}:—[/tex]

[tex] \boxed{\bf \: 4(3.5 - 1.5) - 1/2}[/tex]

[tex]\bf\huge Solution:—[/tex]

[tex] \sf \longmapsto \: 4*(3.5-1.5)-1/2[/tex]

[tex] \boxed{\bf \: Convert \: 1/2 \: i nto \: Decimal:—}[/tex]

[tex]\sf \longmapsto \: 4*(3.5-1.5)-0.5[/tex]

[tex] \boxed{\bf \: Subtract \: 3.5-1.5 :—\: (2 \: is \: the \: result)}[/tex]

[tex]\sf \longmapsto \: 4*(2) - 0.5[/tex]

[tex] \boxed{\bf Multiply \: 4 \: and \: 2:—(8 \: is \: the \: result)}[/tex]

[tex]\sf \longmapsto8-0.5[/tex]

[tex] \boxed{\bf \: Simply \: Subtract:—}[/tex]

[tex]\sf \longmapsto7.5[/tex]

[tex]\boxed{\bf Convert \: to \: Fraction, \: And \: Fraction\:to\:Mixed \:Fraction:—}[/tex]

[tex]\sf\longmapsto 15/2[/tex]

[tex] \boxed{\bf \: Mixed \: Fraction:—}[/tex]

[tex]\boxed{\sf\longmapsto 7 \dfrac{1}{2} }[/tex]

________________________________

[tex]\boxed{\bf Solving \: in \: another \: way:—}[/tex]

[tex]\sf \longmapsto4*2-1/2[/tex]

[tex]\sf \longmapsto4*(2)-1/2[/tex]

[tex]\sf \longmapsto8-1/2[/tex]

[tex]\sf \longmapsto \: 15/2[/tex]

[tex] \boxed{\bf \: Mixed \: Fraction:—}[/tex]

[tex]\boxed{\sf \longmapsto \: 7 \dfrac{1}{2} }[/tex]

________________________________

[tex] \boxed{\bf \: \: Answer \: i s \: Option \: B}[/tex]

[tex] \boxed{\huge\sf \: (B) \: \bf \: 7\dfrac{1}{2}} [/tex]

Answer:

0.964

0.959

0.961

0.958

0.963

Step-by-step explanation:

Anything below 5 can be rounded down, anything above 5 can be rounded up.

You can have a decimal after 0.96 to be less than 5, or a decimal after 0.95 to be greater than 5.

Here's some I picked:

0.964

0.959

0.961

0.958

0.963

Answer:

y= (2x)+10

Step-by-step explanation:

if harry has an initial balance of $10 in his bank account, he will have something +10 for the initial 10.

If he adds $2 to his bank account every week, then the amount of money in his bank account (y) can be modeled by the equation

y = (2x)+10

where y represents how much money he has in his bank account and x represents the amount of weeks he is adding $2.

Using the formulas to find its length =

P= 2 ( l + w )

d= w² + l²

There are 2 solutions for,

l = P / 4 + 1 / 4 √8d² - p²

= 39.2 / 4 + 1 / 4 × √8 × 14² - 39²

= 11. 2 km answer.

Using the formula to find its width =

w = p / 2 - l

= 39.2 / 2 - 11.2

= 8.4 km answer.

≈ the length of a rectangle is 11.2 km and the width is 8.4 km