Calculate the area and perimeter of the following ring where
a = 7cm,
b = 14cm
Area of Ring:
Perimeter of Ring:
(its urgent)

Answer:

A car can travel 45 miles every hour, because I multiply 3/4 (0.75) by 60. Because of this, 60 minutes is an hour.

Step-by-step explanation:

Answer: - 6xy/23xy

Step-by-step explanation:

They're both simplified by 11.

Hey there! :)

Answer:

(5, 1/2)

Step-by-step explanation:

Recall that the midpoint formula is:

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Plug in the point values to solve for the midpoint:

[tex](\frac{5+5}{2}, \frac{-3+4}{2} )[/tex]

Simplify:

[tex](\frac{10}{2}, \frac{1}{2})[/tex]

(5, 1/2) is the midpoint.

Answer:

Midpoint: B. (5, 1/2)

Step-by-step explanation:

Add the x-coordinates of the endpoints and divide by 2.

Add the y-coordinates of the endpoints and divide by 2.

x: (5 + 5)/2 = 10/2 = 5

y: (4 + (-3))/2 = 1/2

Midpoint (5, 1/2)

Answer:

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Step-by-step explanation:

[tex]7x^{3}[/tex] - [tex]21x^{2}[/tex]

[tex]7x^{2}[/tex] goes into both terms.

Divide both terms by [tex]7x^{2}[/tex].

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Answer:

33 students.

Step-by-step explanation:

There are between 24 and 40 students in a class.

The ratio of boys to girls is 4:7.

4×3:7×3

12:21

12+21=33

33 students in the class, which is between 24 and 40 students in a class.

4×2:7×2

8:14

8+14=22

22 is wrong because it has to be between 24 and 40 students in a class.

4×4:7×4

16:28

16+28=44

44 is wrong because it has to be between 24 and 40 students in a class.

4×1:7×1

4:7

4+7=11

11 is wrong because it has to be between 24 and 40 students in a class.

Answer:

Option (3)

Step-by-step explanation:

Given expression in this question represents the partial sum of an infinite geometric series in the sigma notation.

[tex]S_{n}=\sum_{n=1}^{\infty}6(2)^{n-1}[/tex]

First term of this series 'a' = 6

Common ratio 'r' = 2

We have to find the sum of 4 terms of this infinite series (n = 4).

Sum of n terms of a geometric series is,

[tex]S_n=\frac{a(r^n-1)}{(r-1)}[/tex]

[tex]S_4=\frac{6(2^4-1)}{(2-1)}[/tex]

    [tex]=\frac{6(16-1)}{(1)}[/tex]

    [tex]=90[/tex]

Therefore, sum of 4 terms of the given series will be 90.

Option (3) will be the answer.

Answer:

3x-24

Step-by-step explanation:

because 3x-24 divide both side by co efficient of x which is 3 so 24/3=8

Answer:

x(x+2)^2

Step-by-step explanation:

x^-3 +2x^2 +x

Taking x as common

x(x^2+2x+1)

x[(x)^2+2(x)(1)+(1)^2]

x(x+2)^2

I hope it will help you

Answer:

  a. p(n) = 3n -1

  b. $101.50

  c. 9 years

Step-by-step explanation:

a. The number of rats in any given month is an arithmetic sequence with first term 2 and common difference 3:

  for months 1, 2, 3, 4, the rat population is 2, 5, 8, 11.

The usual formula for the n-th term of an arithmetic sequence applies:

  a[n] = a[1] +d(n -1)

  a[n] = 2 +3(n -1) = 3n -1

In month n, the population of lab rats is ...

  p(n) = 3n -1

__

b. After 10 months, the population will be ...

  p(10) = 3·10 -1 = 29

At $3.50 per rat, the cost will be ...

  29 · $3.50 = $101.50

__

c. We want to find for p(n) = 326.

  326 = 3n -1

  327 = 3n

  109 = n

Month 109 is 108 months (9 years) after month 1. The population will reach 326 rats in 9 years.

Answer:

y=15

Step-by-step explanation:

im guessing you meant 9:y = 3:5

(9*5)/y = 15

Answer:

True.

Step-by-step explanation:

y = -3x + 20

Put x as 5, then y output should be 5.

y = -3(5) + 20

y = -15 + 20

y = 5

True, the line with slope -3 passes through points (5, 5).

Answer: B and C

Step-by-step explanation:

-2343  is an integer and also a rational number since it can be expressed as a fraction.  

An integer is whole number and its opposite so -2343 is an integer because its opposite is 2343.

Answer:

0

Step-by-step explanation:

144 h = 6 days

Six days later would be midnight on May 1.

That's autumn in Australia, so sunset was probably around 8 pm. By midnight it would be completely dark.

The probability of Adelaide being sunny at midnight is zero.

Answer:

93%

Step-by-step explanation:

caculator

Answer:

See below

Step-by-step explanation:

When you roll an 8-sided die twice, the sample space is the set of all possible pairs (x,y) where x is the first outcome and y is the second outcome.

The sample space is:

[tex][(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)][/tex]

The sample space of the product xy of each outcome forms the required possibility diagram.

This is given as:

[tex]1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64[/tex]

Answer:

8√30

Step-by-step explanation:

The length of the third side is 32 - 8 - 11 = 13. s (which is half of the perimeter) is 32 / 2 = 16 so the answer is:

√s(s-a)(s-b)(s-c) = √16 * (16 - 8) * (16 - 11) * (16 - 13) = √16 * 8 * 5 * 3 = √1920 = 8√30

Answer:

76

Step-by-step explanation:

SA=2lw+2lh+2hw, to find the surface area.

i have rounded the answer up by 1 decimal place

Answer:f(4)=1/2

f(x)=4 when x is 8

The complete statements would be as:

⇒ function f(4) is 1/2 and function f(x) = 4 when domain x is 8.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given that the mapping diagram shows a functional relationship.

To determine the value of f(4)

As per the given functional relationship,

If the value of the domain is 4 then the value of the respective range would be 1/2.

Therefore, the function f(4) would be 1/2.

To determine the value of x,  when f(x) = 4

As per the given functional relationship,

If the value of the range is 4 then the value of the respective domain would be 8.

Therefore, x would be 8 if function f(x) = 4 .

Hence, the complete statements would be as:

f(4) is 1/2 and f(x) = 4 when x is 8.

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ7

Answer:

A

Step-by-step explanation:

Answer:

A should be the correct answer.

Step-by-step explanation:

Hope this helps

Answer:

1

Step-by-step explanation:

First off since it is equal to 28, it means the equation is trying to add numbers that equal to 28

Secondly, the 11 is not linked to a variable like 11y or 11b etc. It means the 11 stays put, no situation is changing that 11 number.

The x is what can be changed, hence referred to as variable. That is some amount that needs to be spent so in addition with 11, it totals to 28

Answer:

The first choice

Step-by-step explanation:

Answer:

[tex]a=-6\quad and \quad b=8[/tex]

Step-by-step explanation:

[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]

By comparing the last expression with  [tex]a+b\sqrt{2}[/tex], we get:

[tex]a=-6\quad and \quad b=8[/tex]

Best Regards!

Answer:

Step-by-step explanation:

Given the expression   [tex]\sqrt{-16} - \sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4}+3i-3i^{2} +3i^{3}[/tex]

On simplifying;

First we need to note that i² = -1 and √-1 = i

Substituting the values in the expression, it becomes;

= √16(√-1)-√(-3)(-3)-√(-4)(-4)+3i-3(-1)+3i(i²)

= 4i-√9-√16+3i+3-3i

= 4i-3-4+3

= 4i-4

= 4(i-1)

Answer:

5565

Step-by-step explanation:

5565

intuitively i think its 5565 ;)

Answer:

[tex]perimeter= 14\,x\,+ \,4[/tex]

Step-by-step explanation:

Recall the formula for the perimeter rectangle (the addition of all rectangle\s sides): That is: twice the width ( 4x)  plus twice the length (3x+2);

[tex]perimeter=2\,*\,width \,+\,2\,*\,length\\perimeter = 2\,(4\,x)+2\,(3\,x+2)\\perimeter= 8\,x+6\,x+4\\perimeter= 14\,x\,+ \,4[/tex]

Answer:

m < 1 = 80

m < 2 = 70

Step-by-step explanation:

As we can see in the figure that

[tex]a || b[/tex]

Plus line s and t are considered to be transversals

That results into

m < 1 and 80

i.e alternate angles

And as we know that alternative angles are equal to each other

So,

m < 1 = 80

Moreover,

m < 2 = 70

As corresponding angles are equal to each other

Therefore the m < 1 = 80 m < 2 = 70 could be computed easily by applying the above things

Answer:

[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]

Step-by-step explanation:

Since moving it to one side can't be factored, I'm going to complete the square.

[tex]x^2+5x=8[/tex]

[tex]x^2+5x+6.25=8+6.25[/tex]

[tex](x+2.5)^2=14.25[/tex]

[tex]x+2.5=\sqrt{14.25}[/tex]

[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]

Answer:

4^8

Step-by-step explanation:

4^5 * 4^3

We know that a^b* a^c = a^(b+c)

4^(5+3)

4^8

Answer:

4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given

[tex]a_{n}[/tex] = 11 +(n - 1)4 , then

d = 4

The recursive formula allows a term in the sequence to be found by adding d to the previous term, thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 4

Answer:

The answer is 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2^2

Answer:

4

Step-by-step explanation:

Answer:

D)  [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Step-by-step explanation:

Step(i):-

Given equation

                x² + 5 x + 8 = 4

    ⇒        [tex]x^{2} + 2 X \frac{5}{2} x + (\frac{5}{2} )^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]

Step(ii):-

    By using (a + b)² = a² + 2 a b + b²

  ⇒        [tex](x + \frac{5}{2})^{2} - (\frac{5}{2} )^{2}+ 8 = 4[/tex]

  ⇒        [tex](x + \frac{5}{2})^{2} = 4 + (\frac{5}{2} )^{2} -8[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = (\frac{25}{4} ) -4[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = (\frac{25-16}{4} )[/tex]

⇒           [tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]

Final answer:-

[tex](x + \frac{5}{2})^{2} = \frac{9}{4}[/tex]