The length of a rectangle is 3 cm more than its breadth. If the perimeter of the
rectangle is 46 cm, find the length and the breadth.

Answers

Answer 1

Answer:

breadth = 10 cm

length = 13 cm

Step-by-step explanation:

so,

perimeter = 46cm

2(l+b) = 46cm

or, 2(3+b+b) = 46cm ( because l = 3+b)

or, 2(3+2b) = 46cm

or, 6 + 4b = 46cm

or, 4b = 46cm - 6

or, 4b = 40cm

or, b = 40/4 cm

so, b = 10 cm

now,

l = 3cm + b

l = 3 cm + 10cm

= 13cm

Answer 2

Answer:

Let us assume the breadth of the rectangle be 'b' cm.

So length of the rectangle will be b+3 cm.

Now

Perimeter =46

[tex] \large \mid\orange {2(l + b) = 46}[/tex]

[tex] \large \mid\orange {2(b+3+b)=46}[/tex]

[tex] \large\mid \orange {2(2b+3) = 46}[/tex]

[tex] \large\mid \orange {4b + 6 = 46}[/tex]

[tex] \large \mid \orange{4b = 46 - 6}[/tex]

[tex] \large\mid \orange {4b = 40}[/tex]

[tex] \large \mid \orange{b = \frac{40}{4} }[/tex]

[tex] \large\mid \orange {b = 10}[/tex]

[tex] \large \orange{l=b+3= \:10 + 3 = 13 cm }[/tex]

Length = 13cm

Breadth = 10cm


Related Questions

A baseball is hit and its height at different one-second intervals is recorded (See attachment)

Answers

Answer:

[tex]h(t)[/tex] is likely a quadratic function.

Based on values in the table, domain of [tex]h(t)[/tex] : [tex]\lbrace 0,\, 1,\, 2,\, 3,\, 4,\, 5,\, 6,\, 7,\, 8\rbrace[/tex]; range of [tex]h(t)\![/tex]: [tex]\lbrace 0,\, 35.1,\, 60.1\, 75.2,\, 80.3,\, 75.3,\, 60.2,\, 35.0 \rbrace[/tex].

Step-by-step explanation:

By the power rule, [tex]h(t)[/tex] is a quadratic function if and only if its first derivative, [tex]h^\prime(t)[/tex], is linear.

In other words, [tex]h(t)[/tex] is quadratic if and only if [tex]h^\prime(t)[/tex] is of the form [tex]a\, x + b[/tex] for some constants [tex]a[/tex] and [tex]b[/tex]. Tables of differences of [tex]h(t)\![/tex] could help approximate  whether [tex]h^\prime(t)\![/tex] is indeed linear.

Make sure that values of [tex]t[/tex] in the first row of the table are equally spaced. Calculate the change in [tex]h(t)[/tex] over each interval:

[tex]h(1) - h(0) = 35.1[/tex].[tex]h(2) - h(1) = 25.0[/tex].[tex]h(3) - h(2) = 15.1[/tex].[tex]h(4) - h(3) = 5.1[/tex].[tex]h(5) - h(4) = -5.0[/tex].[tex]h(6) - h(5) = -15.1[/tex].[tex]h(7) - h(6) = -25.2[/tex].[tex]h(8) - h(7) = -35.0[/tex].

Consecutive changes to the value of [tex]h(t)[/tex] appears to resemble a line with slope [tex](-10)[/tex] within a margin of [tex]0.2[/tex]. Hence, it is likely that [tex]h(t)\![/tex] is indeed a quadratic function of [tex]t[/tex].

The domain of a function is the set of input values that it accepts. For the [tex]h(t)[/tex] of this question, the domain of [tex]h(t)\![/tex] is the set of values that [tex]t[/tex] could take. These are listed in the first row of this table.

On the other hand, the range of a function is the set of values that it outputs. For the [tex]h(t)[/tex] of this question, these are the values in the second row of the table.

Since both the domain and range of a function are sets, their members are supposed to be unique. For example, the number "[tex]0[/tex]" appears twice in the second row of this table: one for [tex]t = 0[/tex] and the other for [tex]t = 8[/tex]. However, since the range of [tex]h(t)[/tex] is a set, it should include the number [tex]0\![/tex] only once.

the pizza Question i cant do and need desperate help

Answers

Answer:

the answer is c

Step-by-step explanation:

Please help me with solving these. Thank you very much. Have a great day!

Answers

Answer:

Problem 20)

[tex]\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)[/tex]

Problem 21)

A)

The velocity function is:

[tex]\displaystyle v(t) =2\pi(\cos(2\pi t)-\sin(\pi t))[/tex]

The acceleration function is:

[tex]\displaystyle a(t)=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))[/tex]

B)

[tex]s(0)=2\text{, }v(0) = 2\pi \text{ m/s}\text{, and } a(0) = -2\pi^2\text{ m/s$^2$}[/tex]

Step-by-step explanation:

Problem 20)

We want to differentiate the equation:

[tex]\displaystyle y=\left(\cos x\right)^x[/tex]

We can take the natural log of both sides. This yields:

[tex]\displaystyle \ln y = \ln((\cos x)^x)[/tex]

Since ln(aᵇ) = bln(a):

[tex]\displaystyle \ln y =x\ln \cos x[/tex]

Take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}\left[\ln y \right]=\frac{d}{dx}\left[x \ln \cos x\right][/tex]

Implicitly differentiate the left and use the product rule on the right. Therefore:

[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x+x\left(\frac{1}{\cos x}\cdot -\sin(x)\right)[/tex]

Simplify:

[tex]\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x-\frac{x\sin x}{\cos x}[/tex]

Simplify and multiply both sides by y:

[tex]\displaystyle \frac{dy}{dx}=y\left(\ln \cos x-x \tan x\right)[/tex]

Since y = (cos x)ˣ:

[tex]\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)[/tex]

Problem 21)

We are given the position function of a particle:

[tex]\displaystyle s(t)= \sin (2\pi t)+2\cos(\pi t)[/tex]

A)

Recall that the velocity function is the derivative of the position function. Hence:

[tex]\displaystyle v(t)=s'(t)=\frac{d}{dt}[\sin(2\pi t)+2\cos(\pi t)][/tex]

Differentiate:

[tex]\displaystyle \begin{aligned} v(t) &= 2\pi \cos(2\pi t)-2\pi \sin(\pi t)\\&=2\pi(\cos(2\pi t)-\sin(\pi t))\end{aligned}[/tex]

The acceleration function is the derivative of the velocity function. Hence:

[tex]\displaystyle a(t)=v'(t)=\frac{d}{dt}[2\pi(\cos(2\pi t)-\sin(\pi t))][/tex]

Differentiate:

[tex]\displaystyle \begin{aligned} a(t)&=2\pi[-2\pi\sin(2\pi t)-\pi\cos(\pi t)]\\&=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))\end{aligned}[/tex]

B)

The position at t = 0 will be:

[tex]\displaystyle \begin{aligned} s(0)&=\sin(2\pi(0))+2\cos(\pi(0))\\&=\sin(0)+2\cos(0)\\&=(1)+2(1)\\&=2\end{aligned}[/tex]

The velocity at t = 0 will be:

[tex]\displaystyle \begin{aligned} v(0)&=2\pi(\cos(2\pi (0)-\sin(\pi(0))\\&=2\pi(\cos(0)-\sin(0))\\&=2\pi((1)-(0))\\&=2\pi \text{ m/s}\end{aligned}[/tex]

And the acceleration at t = 0 will be:

[tex]\displaystyle \begin{aligned} a(0) &= -2\pi ^2(2\sin(2\pi(0))+\cos(\pi(0)) \\ & = -2\pi ^2(2\sin(0)+\cos(0)) \\ &= -2\pi ^2(2(0)+(1)) \\ &= -2\pi^2(1) \\ &= -2\pi^2\text{ m/s$^2$} \end{aligned}[/tex]

Plsssss ans I am suffering

Answers

I. The multiples of three are in the third and sixth column ii. The multiples of 6 are in the sixth column b. The fifth column c. Yes

B
These triangles
are congruent by
the triangle
congruence
postulate [?].
D
E
A. SSS
B. SAS
C. Neither, they are not congruent

Answers

Answer:

SAS

Step-by-step explanation:

AC ≅ EC (Given), ∠ACB ≅∠ECD ( Vertical Angles), and BC ≅ DC

công thức đạo hàm của ln(u) = ?

Answers

Answer:

U'/U

Step-by-step explanation:

In how many ways can a committee of 3 men and 2 women be formed from a group of 9 men and 10 ​women?

Answers

Answer:

first you have to find the number of ways 3 men can be chosen, then the number of ways 2 women can be chosen, and then you need to multiply these numbers together to get the number of ways because multiplication will show the total arrangements possibilities. use combination since order does not matter.

number ways for 2 out of 10 women total: 10 choose 2= 45

number of ways for 3 out of 9 men total: 9 choose 3= 84

84x45= 3780

3780 total ways

number of ways

A landscaper buys 1 gallon of plant fertilizer. He uses 1/5 of the fertilizer, and then divides the rest into 3 smaller bottles. How much does he put in each bottle?

Answers

Answer:

[tex]\frac{4}{15}[/tex] of a gallon per bottle

Step-by-step explanation:

1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{4}{5}[/tex]

[tex]\frac{4}{5}[/tex] / 3 = [tex]\frac{4}{5}[/tex] x [tex]\frac{1}{3}[/tex] = [tex]\frac{4}{15}[/tex]

Use elimination to solve the system of equations.
10x + 5y = 55
y - 2x = -9
A. (1,1)
B. (1,5)
C. (5, 1)
D. (4,5)

Answers

Answer:

C. (5,1)

Step-by-step explanation:

10x+5y=55 equation 1

y-2x=-9 equation 2

y=-9+2x isolate y in equation 2

10x+5(-9+2x)=55 substitute value of y from equation 2 into equation 1

10x-45+10x=55

20x=100

x=5

solve for y by using x value (5) in either equation

y-2x=-9

y-2(5)=-9

y-10=-9

y=1

What's the surface area of this shape???

Answers

Answer:

197 in^2

Step-by-step explanation:

Add the areas of each face:

2 trapezoid faces:

(5+9) ÷ 2 x 5 = 35

2(35) = 70 in^2

2 squares:

5 x 5 = 25

2(25) = 50 in^2

Rectangular base:

5 x 9 = 45 in^2

Area of slanted rectangle:

6.4 x 5 = 32 in^2

Add:

32 + 45 + 50 + 70 = 197

The ratio of copper to zinc in a certain alloy is 3 to 2. If 30 grams of copper are used, how many grams of zinc are needed to make this alloy?

Answers

Answer:

zinc is 20grams

Step-by-step explanation:

Given data

Ratio copper :zinc = 3:2

Copper =30 grams

Applying the ratio

3/2=30/x

Cross multiply

3x=30*2

3x=60

Divide both sides by 3

x=60/3

x=20

Hence zinc is 20grams

7)
8)
13x + 1/9x + 3
A) 6
C) -7
B) 8
D) 7
Α)
C)
I

Answers

Answer:

b) 8

Step-by-step explanation:

the angles are a linear pair meaning that they have a sum of 180. So 22x+4+180. Solve that and x=8

Answer:

B)     8

Step-by-step explanation:

(13x + 1) + (9x + 3) = 180

Combine like terms

22x + 4 = 180

Subtract 4 from both sides

22x = 176

Divide both sides by 22

x = 8

8. A bag contains 72 toffees. How many toffees can be stored in 122 such bags? Estimate the number of toffees to nearest tens.
9.The working of a metro station is controlled by 28 persons. Estimate the number of persons required to control the working of 88 such stations to the nearest tens.

Answers

Answer:

8.) 8,780 toffees can be stored in 122 such bags.

9.) 2,460 people are required to control the working of 88 such stations.

Step-by-step explanation:

QUESTION 8:

We know that there are 72 toffees per bag

So if we want to know how many toffees can be stored in 122 such bags:

72 x 122 = 8,784

ROUND IT TO THE NEAREST TENS:

Look at the digit to the right of the tens place: 8,784–>4. 4 and below means that the digit will be repkaced by 0 and the tens place remains the same.

So 8,784 rounded to tens is 8,780

Tye answer for question 9 is

2,460 (do the same thing)

The square below represents one whole.
What percent is represented by the shaded area?
%



The anwser is 6%

Answers

Answer:

the answer is 6%

hdhxbxcbxbxszznzj

Solve the system by substitution. If the system is inconsistent or has dependent equations, say so.
y = 5x
20x - 4y = 0

Answers

Answer:

Dependent Equations

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations by substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 5x

20x - 4y = 0

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]:                                                                        20x - 4(5x) = 0Multiply:                                                                                                             20x - 20x = 0Combine like terms:                                                                                         0 = 0

Here we see 0 does indeed equal 0.

∴ our systems has an infinite amount of solutions.

Answer:

0

Step-by-step explanation:

y = 5x

20 x - 4 y = 0

substitute the value of y in equation

= 20x - 4 ( 5x ) = 0

multiply to get 20x

= 20x - 20x = 0

collect like terms

= 0

we can see here that 0 indeed equal 0.

so, system has an infinite solutions.

Better Products, Inc., manufactures three products on two machines. In a typical week, 40 hours are available on each machine. The profit contribution and production time in hours per unit are as follows:
Category Product 1 Product 2 Product 3
Profit/unit $30 $50 $20
Machine 1 time/unit 0.5 2.0 0.75
Machine 2 time/unit 1.0 1.0 0.5
Two operators are required for machine 1; thus, 2 hours of labor must be scheduled for each hour of machine 1 time. Only one operator is required for machine 2. A maximum of 100 labor-hours is available for assignment to the machines during the coming week. Other production requirements are that product 1 cannot account for more than 50% of the units produced and that product 3 must account for at least 20% of the units produced.
How many units of each product should be produced to maximize the total profit contribution?
Product # of units
1
2
3
What is the projected weekly profit associated with your solution?
Profit = $
How many hours of production time will be scheduled on each machine? If required, round your answers to two decimal places.
Machine Hours Schedule:
Machine 1 Hours
Machine 2 Hours
What is the value of an additional hour of labor? If required, round your answers to two decimal places.
$
Assume that labor capacity can be increased to 120 hours. Develop the optimal product mix, assuming that the extra hours are made available.
Product # of units
1
2
3
Profit = $
Would you be interested in using the additional 20 hours available for this resource?

Answers

Answer:

z (max)  =  1250 $

x₁  = 25    x₂  =  0   x₃  =  25

Step-by-step explanation:

                                Profit $    mach. 1      mach. 2

Product 1     ( x₁ )       30             0.5              1

Product 2    ( x₂ )       50             2                  1

Product 3    ( x₃ )       20             0.75             0.5

Machinne 1 require  2 operators

Machine   2 require  1  operator

Amaximum of  100 hours of labor available

Then Objective Function:

z  =  30*x₁  +  50*x₂  +  20*x₃      to maximize

Constraints:

1.-Machine 1 hours available  40

In machine 1    L-H  we will need

0.5*x₁  +  2*x₂  + 0.75*x₃  ≤  40

2.-Machine 2   hours available  40

1*x₁  +  1*x₂   + 0.5*x₃   ≤  40

3.-Labor-hours available   100

Machine 1     2*( 0.5*x₁ +  2*x₂  +  0.75*x₃ )

Machine  2       x₁   +   x₂   +  0.5*x₃  

Total labor-hours   :  

2*x₁  +  5*x₂  +  2*x₃  ≤  100

4.- Production requirement:

x₁  ≤  0.5 *( x₁ +  x₂  +  x₃ )     or   0.5*x₁  -  0.5*x₂  -  0.5*x₃  ≤ 0

5.-Production requirement:

x₃  ≥  0,2 * ( x₁  +  x₂   +  x₃ )  or    -0.2*x₁  - 0.2*x₂ + 0.8*x₃   ≥  0

General constraints:

x₁  ≥   0       x₂    ≥   0       x₃     ≥   0           all integers

The model is:

z  =  30*x₁  +  50*x₂  +  20*x₃      to maximize

Subject to:

0.5*x₁  +  2*x₂  + 0.75*x₃  ≤  40

1*x₁  +  1*x₂   + 0.5*x₃       ≤  40

2*x₁  +  5*x₂  +  2*x₃        ≤  100

0.5*x₁  -  0.5*x₂  -  0.5*x₃  ≤ 0

-0.2*x₁  - 0.2*x₂ + 0.8*x₃   ≥  0

x₁  ≥   0       x₂    ≥   0       x₃     ≥   0           all integers

After 6 iterations with the help of the on-line solver AtomZmaths we find

z (max)  =  1250 $

x₁  = 25    x₂  =  0   x₃  =  25

consider a triangle ABC. Suppose that a=16, b=30, and c=35. Solve the triangle. Carry your intermediate computations to at least four decimal places and round your answers to the nearest tenth

Answers

9514 1404 393

Answer:

A = 27.1°B = 58.8°C = 94.1°

Step-by-step explanation:

An angle can be found using the Law of Cosines.

  c² = a² +b² -2ab·cos(C)

  C = arccos((a² +b² -c²)/(2ab)) = arccos((16² +30² -35²)/(2·16·30))

  C = arccos(-69/960) ≈ 94.1217°

Then another angle can be found using the Law of Sines:

  sin(B)/b = sin(C)/c

  B = arcsin(b/c·sin(C)) ≈ 57.7516°

The third angle can be found from the sum of angles of a triangle.

  A = 180° -94.1217° -58.7516° = 27.1267°

The angles of the triangle are about (A, B, C) = (27.1°, 57.8°, 94.1°).

A muffin recipe calls for 3 times as much flour as sugar.
Use this information for

Write an expression that can be used to
find the amount of flour needed for a given
amount of sugar. Tell what the variable in
your expression represents
use the variable ( s ) to represent the amount of sugar

Answers

f=3s

f = the amount of flour

Hope this helps! :)

Find the Length of ST

Answers

Step-by-step explanation:

Consider Similarity and enlargement

To get the enlargement factor,

Take the ratio result of any two similar sides. i.e

PQ/AB = 3.6/2 = 1.8

The enlargement factor is 1.8

To get ST, consider ED then multiply it by the enlargement factor. i.e

= 5 x 1.8

= 9

Find the value of k, if (x - 2) is a factor of the polynomial p(x) = 2x2 + 3x - k​

Answers

Answer:

The value of k is 14.

Step-by-step explanation:

(x - 2) is a factor of the polynomial

[tex]x - 2 = 0 \rightarrow x = 2[/tex]

This means that [tex]p(2) = 0[/tex]

p(x) = 2x² + 3x - k​

[tex]p(2) = 2(2)^2 + 3(2) - k[/tex]

[tex]0 = 8 + 6 - k[/tex]

[tex]14 - k = 0[/tex]

[tex]k = 14[/tex]

The value of k is 14.

Which expression is equivalent to ?
x ^-5/3

Answers

Answer:

[tex] {x}^{ - \frac{5}{3} } \\ \frac{1}{ {x}^{ \frac{5}{3} } } [/tex]

Which statement correctly compares the centers of the distributions?
A. The median penguin height is greater at Park Zoo than at Cityview Zoo.
B. The median penguin heights are the same.
C. The median penguin height is greater at Cityview Zoo than at Park
Zoo.
D. The range of penguin heights is greater at Cityview Zoo than at
Park Zoo.

Answers

The correct answer to this question is c

The median penguin height is greater at Cityview Zoo than at Park

Zoo, Option C is correct.

Mode is the most occuring number.

The range is the difference of the highest value and the lowest value.

The median is the middle value in a set of data

After finding the range and medians of the given data.

The median penguin at Cityview Zoo is 42 cm tall,

The median penguin at Park Zoo is barely 41 cm tall.

Cityview Zoo's median penguin height is higher than that of Park Zoo.

Hence, the median penguin height is greater at Cityview Zoo than at Park Zoo.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ7

Help me with this answer I don’t it

Answers

Answer:

f(-2) = g(-2) this is the answer

A checker board is a square board that is divided into smaller squares, with eight squares along each side. Describe how to find the number of small squares on a checker board without counting.

Answers

Multiply. Just multiply the number of squares in the width by the number of squares in the length. So, in this case, 8 times 8, which gets you 64.
The answer to the question is 64

Which equation is equivalent to 4 x = t + 2
s = t-2
s=4/t+2
s=t+2/4
s=t+6

Answers

B= S=4/t+2
whenever you have the equation 4 x = t+2 you are trying to isolate the X by doing that you have ti take the 4 and divide it to the other side so the x can stay on that side

Workers employed in a large service industry have an average wage of $9.00 per hour with a standard deviation of $0.50. The industry has 64 workers of a certain ethnic group. These workers have an average wage of $8.85 per hour. Calculate the probability of obtaining a sample mean less than or equal to $8.85 per hour. (Round your answer to four decimal places.)

Answers

Answer:

The probability of obtaining a sample mean less than or equal to $8.85 per hour=0.0082

Step-by-step explanation:

We are given that

Average wage, [tex]\mu=[/tex]$9.00/hour

Standard deviation,[tex]\sigma=[/tex]$0.50

n=64

We have to find the  probability of obtaining a sample mean less than or equal to $8.85 per hour.

[tex]P(\bar{x} \leq 8.85)=P(Z\leq \frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}})[/tex]

Using the values

[tex]P(\bar{x}\leq 8.85)=P(Z\leq \frac{8.85-9}{\frac{0.50}{\sqrt{64}}})[/tex]

[tex]P(\bar{x}\leq 8.85)=P(Z\leq \frac{-0.15}{\frac{0.50}{8}})[/tex]

[tex]P(\bar{x}\leq 8.85)=P(Z\leq -2.4)[/tex]

[tex]P(\bar{x}\leq 8.85)=0.0082[/tex]

Hence, the probability of obtaining a sample mean less than or equal to $8.85 per hour=0.0082

a solid wooden cube has 4.35cm long.calculate the volume of the cube​

Answers

Answer:

82.31

Step-by-step explanation:

I believe this is correct, if it isn't feel free to let me know and I will fix it. I'm sorry in advance if this is incorrect.

The temperature at 2 a.m. was -10°C.
At an earlier time the temperature was
0°C. It changed by -2°C each hour
until 2 a.m. At what earlier time was
the temperature 0°C?

Answers

Answer:

-1

Step-by-step explanation:

this question is much too hard would anyone please help me

Answers

Answer:

B and C are the same angles so if B is 60 so is C

Answer:

b= 60

c= 60

Step-by-step explanation:

<b and 120 form a straight line so the add to 180

b+120 =180

b = 180-120

b = 60

angles b and c are alternate interior angles so they are equal

b = c= 60

Ahmed can 8 1/3 km in one hour. how much distance will he cover in 2 2/5​

Answers

Answer:

In 2 2/5 hours, he will cover 20 km.

Step-by-step explanation:

Given that,

Ahmed can 8 1/3 km in one hour.

We need to find the distance he cover in 2 2/5 h.

In 1 hour = 8 1/3 km = 25/3 km

2 2/5 hour means 12/5 hour

In 12/5 hour = 12/5 × 25/3 km

= 20 km

So, in 2 2/5 hours, he will cover 20 km.

Other Questions
According to the Johari Window, when you're getting to know someone, you are typically expanding the size of your "hidden" pane and decreasing the size of your "unknown" pane.TrueFalse which are purposes of comic relief? select 3 options. Find the area of this circle.Use 3.14 to approximate .A = ar214 ftA = [ ? ] ft? Solve this equation for x. Round your answer tothe nearest hundredth.0 = In(x + 6) Write a paragraph about capitalism from the Soviet point of view and another one on communism from the US point of view. EXERCISE 2. Choose whether to use MUCH or MANY in the sentences?1. My brother is very busy. He hasn't got_____time.2. There is too____noise in the street. I can't sleep.3. How______eggs do I need for an omelet.4. Does your student know_____words in English?5. Because of e-mails, people don't receive______letters nowadays. What line reveals the speakers efforts to persuade?A: Cheriton Youth League offers competitive baseball and softball leagues for children ages six to sixteen.B: Amigo League offers quality instruction in an environment in which crutches and walkers do not hinder success.C: All CYL players should attend these games to observe athletes who are often models of perseverance. D: Registration for all ages begins next week on the CYL website and at the community center. can you help me with these questions The sound pressure P for a given sound is given by: P= 10 log W/ Wo Its units are decibels (dB). W is the size of a variable energy source (called the sound power), measured in Watts. Wo is the lowest threshold of sound that humans can typically hear. It is a constant given by: Wo=10^-12 W/m2 a) Find the rate of change of the sound pressure P with respect to time if W=7.2 and dW/dt = 0.5 at some given time t. b) If the variable sound power W is given by W = t2 +t +1, find the rate of change of the sound pressure P, at time t = 3s. c) If W = cos 0.2t, find the rate of change of the sound pressure P, at time t = 15 (calculators in radians) Two similar triangles are shown below:Which two sets of angles are corresponding angles Dont eat the unripe plantain. Divide this sentence into subject and predicate ..A tin of paint was 2/3 litres full. Tom used 1/2 of the paint to paint his table. How much was left ? Atoms of element X have 12 times the mass of atoms of oxygen, and atoms of oxygen have 16 times the mass of atoms of hydrogen. What is the mass of atoms of element X on a scale on which atoms of hydrogen have a mass of 1?A. 16/12 B. 12/16 . 12 x 16 D. 16-12E. 1216 What inference can be made about the availability offood, based on this passage?There was plenty of food in Elizabethan England.There was never enough food in ElizabethanEngland....storage of food is most important. The principal ruleis to have separate places for different types ofcommodity: dry things can be kept in a pantry with breadand dry linen; wet things are normally stored in thebuttery. Wine and meat must be kept apart, and cellarsshould be avoided on account of their dampness. Meatshould be seethed in summer to keep it fresh, then keptin a cool cellar, soaked in vinegar with juniper seeds andsalt. Most yeomen will have vats and presses for makingcheeses-a valuable source of protein in the long winterseason. Similarly, most livestock owners have troughs forsalting meat or allowing it to steep in brine.- The Time Traveler's Guide to Elizabethan England,Ian MortimerO The winter months produced less food.The summer months produced less food.) IntroDone Three days after watching The Ed Sullivan Show, my mother told me what my schedule would be for piano lessons and piano practice. She had talked to Mr. Chong, who lived on the first floor of our apartment building. Mr. Chong was a retired piano teacher and my mother had traded housecleaning services for weekly lessons and a piano for me to practice on every day, two hours a day, from four until six.When my mother told me this, I felt as though I had been sent to hell. I whined and then kicked my foot a little when I couldn't stand it anymore."Why don't you like me the way I am? I'm not a genius! I can't play the piano. And even if I could, I wouldn't go on TV if you paid me a million dollars!" I cried.My mother slapped me. "Who ask you be genius?" she shouted. "Only ask you be your best. For you sake. You think I want you to be genius? Hnnh! What for! Who ask you!""So ungrateful," I heard her mutter in Chinese, "If she had as much talent as she has temper, she would be famous now."Which statement best explains the conflict revealed in the passage?The conflict is internal within the narrator, who has to choose between playing music and going on television.The conflict is internal within the narrators mother, who cannot decide whether her daughter is talented or not.The conflict is external and takes place between the narrator and her mother over whether the narrator will learn to play piano.The conflict is external and takes place between the narrators mother and Mr. Chong over the payment for the narrators piano lessons. HELPPP URGENT!!!The lowest airport in the world is Atyrau Airport in Kazakhstan. Itsrunway is 72 feet below sea level. A passenger in a small airplane onthe runway holds her phone exactly 4 feet above the runway. Whatis the elevation of her phone? Use a negative sign where appropriate,and don't include units when typing in the secret answer.Your answer: Someone help me please & Thankyouu I appreciate it! Joseph planned for hiscompany to make $250,000in one month. Instead, theymade $300,000. What is thepercentage difference? [?]% Please help me which are the ones that are correct? Fong Corporation sold $2,000,000, 7%, 5-year bonds on January 1, 2017. The bonds were dated January 1, 2017 and pay interest on January 1. The company uses straight-line amortization on bond premiums or discounts.Required:Prepare all necessary journal entries to record the issuance of the bonds and bond interest expense for 2017.