is -(-3) = 3 . i know its simple but I need it

First look at one of the point covered by the black shape, example of which being (2,2).

Next look at where the corrosponding point on the dilated figure is, so keeping with the sample, (10,10).

With this, knowing that both of the shapes are centered around the origin and that they are dilations of each other, do 10/2. to give you 5.

This would be the dilation needed to get the black shape to become the black shape.

Hope that helps.

(a) If an orchestra has a sound intensity of [tex]6.4 \times 10^-^3\ Wm^{-2[/tex], then

the intensity level of sound, L, is 98.062 dB.

(b) If a rock concert has an intensity level of 112 dB, then the sound intensity, S, is [tex]10^{-0.8}\ Wm^{-2[/tex].

Sound intensity, also known as acoustic intensity, is defined as the dominion ferried by sound waves per unit area in a direction perpendicular to that area.

Given that the intensity level of sound, L, measured in decibels (dB), is a function of the sound intensity, S, watts per square meter ([tex]Wm^{-2[/tex]) as

[tex]L = 10log_{10}(S\times10^1^2), S\geq 0[/tex]

(a) If an orchestra has a sound intensity of [tex]6.4 \times 10^-^3\ Wm^{-2[/tex], then

the intensity level of sound,

[tex]L = 10log_{10}(6.4\times10^{-3}\times10^1^2)[/tex]

   [tex]= 10log_{10}(6.4\times10^9)\\= 10(log_{10}6.4\ +\ log_{10}10^9 )\\= 10(0.8062\ +\ 9)\\=10 \times 9.8062\\= 98.062\ dB[/tex]

(b) If a rock concert has an intensity level of 112 dB, then

[tex]112 = 10log_{10}(S\times10^1^2)\\log_{10}(S\times10^1^2) = \frac{112}{10}\\log_{10}(S\times10^1^2)= 11.2\\S\times10^1^2 = 10^{11.2}\\S = \dfrac{10^{11.2}}{10^1^2} \\S = 10^{-0.8}\ Wm^{-2[/tex]

The sound intensity is [tex]10^{-0.8} Wm^{-2[/tex].

Hence, (a) L = 98.062 dB and (b) S [tex]= 10^{-0.8}\ Wm^{-2[/tex].

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9514 1404 393

Answer:

  5x^2 -55x +150 = 0

Step-by-step explanation:

A root of p means (x-p) is a factor. So, the factored form of the equation you want is ...

  5(x -5)(x -6) = 0

  5(x^2 -11x +30) = 0 . . . . . multiplying binomials

  5x^2 -55x +150 = 0 . . . . applying the leading coefficient

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: 4x - 6 = x + 9[/tex]

[tex]\qquad \sf  \dashrightarrow \: 4x - x = 9 + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3x = 15[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 15 \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 5[/tex]

Answer:

Step-by-step explanation:

4x-6=x+9

4x-x=9+6

3x=15

Final answer: x = 5

The expressions for the number of sweets that Tony and Sue now have are:

Given:
Sue has 18 sweets

Sue = 18

Tony also has 18 sweets, that is:

Toney = 18

Sue gives Tony × sweets; that is

Sue = 18 - x; and

Tony = 18 + x

Sue then eats 5 of her sweets, Tony then eats half of his ⇒ Sweets:

that is ⇒

Sue = 18 - x - 5

Tony = (18 + x) / 2

Thus, simplifying the above, we have:

Sue = 13 - x

Tony = (18 + x) / 2

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Since the diameter of this circle is 76 inches, a measurement which the circumference of this circle has include the following: C. 238.64 inches.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, we have;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 76

Circumference of circle, C = 238.64 inches.

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Complete Question:

The diameter of a circle is 76 inches. Which measurement does the circumference of this circle have?

A. 123.45 inches.

B. 438.65 inches.

C. 238.64 inches.

D. 338.64 inches.

The probability of h that can be found using the discrete model but not the normal model is 0.03.

A discrete probability distribution or DPD (also known as a discrete probability model) records all possible values of a discrete random variable and gives their probabilities.

The normal probability model involves when the distribution of the continuous outcome conforms reasonably well to a normal or Gaussian distribution, which resembles a bell-shaped curve.

H represents the height of women

Determine P ( H < 60 ) using either a discrete or normal model

using discrete model

P ( H < 60 ) = ∑ relative frequencies of the women with height < 60 inches

P ( H < 60 ) = 0.01 + 0.02 = 0.03

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Using the method of simple random sampling, The answer is we select sample before collecting data.

Random sampling is a method of selecting a sample from a population in such a way that each member of the population has an equal probability of being selected. This ensures that the sample is representative of the population, and reduces bias in the sampling process. In simple random sampling, a random sample is drawn from a larger population by using random number generators, tables of random numbers, or other methods that ensure that each member of the population has an equal chance of being selected.

A sample is a portion or a subset of a population that is selected for the purpose of studying characteristics of the population. The sample is used to make inferences or conclusions about the population from which it was drawn. The sample is usually smaller in size than the population, and it is selected through a process called sampling. The process of sampling is used to select a sample that is representative of the population, meaning that the sample has similar characteristics as the population.

In simple random sampling, the sample size is determined before collecting data. There are several ways to determine the sample size, but one common method is to use a sample size calculation formula, such as: n = (z^2 * p * (1-p)) / e^2

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Answer:

                  .

green 0.416  red0.25 blue0.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Possible options for 2 different colors are:

Probability of each:

Now, the probability of 2 different colors:

Answer:

Step-by-step explanation:

18. m∠1 = 104°

19. m∠2 = 79°

20. m∠3 = 65°

21. m∠5 = 73°

The value would be [tex]34^{-1} \pmod{47}=30[/tex]

What is the modulus in mathematics?

In mathematics, the modulus is the remainder of the division of one number by another. It is denoted by the symbol %, or in some cases, by the symbol mod.

Given that 13^-1 ≡ 29 (mod 47), we can use this information to find the inverse of 34 mod 47. The inverse of a number modulo m is a number x such that the product of the number and its inverse is congruent to 1 mod m.

In the case of the given equation, [tex]$13^{-1} \equiv 29 \pmod{47}$[/tex] is saying that 29*13 = 377 is congruent to 1 mod 47.

We can use this congruence to find the inverse of 34 mod 47. The inverse of 34 mod 47 is the number x such that 34*x = 1 mod 47. So we can write this congruence as [tex]$34x \equiv 1 \pmod{47}$[/tex]

We can use the given congruence of 13^-1 ≡ 29 (mod 47) to find the inverse of 34 mod 47.

Since [tex]$13^{-1} \equiv 29 \pmod{47}$[/tex], we can multiply both sides of the congruence by 34 as:

[tex]$13^{-1} * 34 \equiv 29 * 34 \pmod{47}$[/tex]

Now we can substitute the right side of the equation:

[tex]$13^{-1} * 34 \equiv (13*29) \pmod{47}$[/tex]

And now we can substitute the left side of the equation:

[tex]$34^{-1} \equiv (13*29) \pmod{47}$[/tex]

And since [tex]$13*29 = 377$[/tex] this is congruent to 30 (mod 47) the inverse of 34 mod 47 is 30.

Therefore, the value would be [tex]34^{-1} \pmod{47}=30[/tex]

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The value would be 13.

What is the modulus in mathematics?

In mathematics, the modulus is the remainder of the division of one number by another. It is denoted by the symbol %, or in some cases, by the symbol mod.

We can use the property of modular inverse that

[tex]$(ab)^{-1} \equiv b^{-1}a^{-1} \pmod{m}$[/tex]

So, [tex]$(13*34)^{-1} \equiv 34^{-1} \cdot 13^{-1} \pmod{47}$[/tex]

[tex]$13^{-1} \equiv 29 \pmod{47}$\\$(13*34)^{-1} \equiv 34^{-1} \cdot 29 \pmod{47}$So, $34^{-1} \equiv (13*34)^{-1} \cdot 13 \pmod{47}$$34^{-1} \equiv 1 \cdot 13 \pmod{47}$$34^{-1} \equiv 13 \pmod{47}$[/tex]

Hence, The value would be 13.

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Answer:

[tex]\bold{\boxed{Check explaination for better understanding!}}[/tex]

z=65,y=65,x=50

Step-by-step explanation:

Firstly,  let's identify the only angle provided. The angle is an exterior angle.

The exterior angle theorm states that greater than either of the measures of the remote interior angles.

Let's remember that and start solving!

The exterior angle and x form a supplimentary line which means they create 180 degrees.

130+x=180

x=50

Now by the theorm the sum of z+y should be equal to the exterior angle which is 130.

Simply, z+y=130.

So z  is equal to 65, and y is equal to 65.

Let's check our answers now.

z=65,y=65,x=50

z+x+y=180

65+50+65=180! That works :)

Hope it helps! :))

Answer:

B it will have to be 7 to make this true

Step-by-step explanation:

Answer:

-4n+4

Step-by-step explanation:

hope this helps :)

Answer:

2(-2n+2)

-4n+4

() means multiply, negative times positive is negative and it keeps the variable

Answer:

elected Council

Step-by-step explanation:

Answer:

Step-by-step explanation:

Is 8ft

Answer:

It is 8ft

Step-by-step explanation:

easy work

The amount of a program that can be parallelized limits the amount of time it takes to run. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be 10 times regardless of the number of processors employed.

The amount of a program that can be parallelized limits the amount of time it takes to run. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be 10 times regardless of the number of processors employed. Parallel computing is a sort of computation in which several computations or processes are performed at the same time. Large issues are frequently broken into smaller ones, which may then be tackled concurrently.

Here,

Parallelization can only speed up a program so much. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be ten times regardless of the number of processors employed.

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Answer:

photo is blurr bro

Step-by-step explanation:

i can't help with this photo

Answer:

X = -7 and y = -7.5

Step-by-step explanation:

Use substitution. Let’s try to get x by itself in the second question since it seems easier.

-4x + 4y = -2

-4x = -2 -4y

x = 1/2 + y

Subsitute that into the other equation for y.

4x -2y = -13

4(1/2 + y) - 2y = -13

2 + 4y -2y = -13 # Use the distributive property

2y = -15 # put together like terms

y = -7.5

Then plug it into the x formula

x = .5 -7.5

x = -7

Answer:

The solution is (-7, -7 1/2)

Step-by-step explanation:

 4x – 2y = –13  

–4x + 4y = –2

-------------------------

          2y = -15, and so y = -7 1/2.

Now find x.  If y = -7 1/2, then, from the first equation, we get

4x - 2(-7 1/2) = -13, or

4x + 15 = -13, or

4x = -28, or x = -7

The solution is (-7, -7 1/2).

Answer:

a=13.2

b=21

c=36

d=9

Step-by-step explanation:

a good way to do these is to find the simplest fraction, and multiply the number over 1 (a- 1/5*11/1 =11/5=2.2) then add the number to the total you have (a- 2.2+11=13.2) I have not done these questions in a while, so they may be off by a bit, or the formula may have a mistake, hope this helps anyway. :)

Answer:

Step-by-step explanation:

A x 20%=11

so a=11/.20

a=55

b x 75%=12

b=12/.75

B=16

c X 80%=20

c=20/.80

c=25

d x 200%=18

d=18/2

d=9

Answer: 7.88 currency units

Step-by-step explanation:

Shipping and handling are 35% of the price of the flannel sheet so in currency terms are:

= Price of flannel sheet * Additional percentage for shipping and handling

= 22.50 * 35%

= 7.875

= 7.88 currency units

Answer:

787.5

Step-by-step explanation:

22.50×35

According to question,

= 8x² + 6x - 2 = 228

= 8x² + 6x - 230 = 0

= 2(4x² + 3x - 115) = 0

= 2(4x² + 23x - 20x - 115) =0

= 2(x(4x +23) -5(x - 23) )= 0

= 2((x-5)(4x+23)) = 0

x = 5 , x = -23/4

let x = 5

so length 4x - 1

= 4 × 5 - 1

= 19 ft

width = 2x + 2

= 2 × 5 + 2

= 22 ft

_______

gosh! finally did it.. was too big -_-

The station of PT is 12305.58 ft

The station of PT can be determined using the formula:

PT = PI + R * (central angle in radians)

To use this formula, we first need to convert the central angle from degrees to radians. We can do this by multiplying the central angle by (π/180)

Next, we need to determine the radius (R) of the curve. We can use the formula:

R = L / (central angle in radians)

Where L is the tangent length.

Finally, we can substitute the values into the formula for PT:

PT = 105 00 + (1200 / (29.86 * (π/180)))

PT = 105 00 + (1200 / (0.5236))

PT = 105 00 + 2295.58

PT = 12305.58

It's important to note that this calculation assumes that the degree of curvature is a circular curve and that the PI is at the tangent point of the curve.

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Answer:

[tex]x {}^{2} - 4x - 12 = 0 \\ (x - 6)(x + 2) = 0 \\ x = 6 \: \: x = - 2[/tex]

Answer: $1,040

Step-by-step explanation:

52 weeks in a year

52x 10= 520

520x 2(for the years)= 1,040

Answer:

1,040$

Step-by-step explanation:

52 weeks in each year

52 x 2 is 104.

104 x 10 is 1,040.

Answer:

Which ratio forms a probation with 18/30

=20/35

=50/90

=36/46

=60/100

Step-by-step explanation:

Answer:

259.8 square feet

Step-by-step explanation:

What is the area of a regular hexagon with sides that measure 10 feet and an

apothem that measures 8.66 feet?

The formula to solve the above question is given as:

Area = (3√3 s²)/ 2 where

s is the length of a side of the regular hexagon

Area of this Hexagon is calculated as:

= (3√3 × 10²)/2

= 3√3 × 100/2

= 259.80762114 square feet

Approximately = 259.8 square feet

The area of the regular hexagon = 259.8 square feet

The statement "it is not the case that p and q are both true" is made in the negation of p ^ q.

As a result, when p q is true, that is, when one or both of p and q are true, (p q) is true precisely. The sentence is only untrue when both p and q are true. The opposite of the given mathematical statement is the negation of a statement in mathematics. If "P" is a statement, then "~P" is the statement's negation.

The words "~" or "¬" are used to denote a statement's denial.

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The simplification of all the given algebra fractions are;

1) a/c

2) (a - b)/(a - 1)

3) (x + 1)/(x - 4)

An algebraic fraction is defined as a fraction whose numerator and denominator are algebraic expressions.

1) (abc + ab²)/(b²c + bc²)

Factorizing numerator and denominator gives;

ab(c + b)/bc(b + c)

b(b + c) will cancel out to get; a/c

2) (a² - b²)/(a² - a + ab - b)

Factorizing numerator and denominator gives;

[(a + b)(a - b)]/[a(a - 1) + b(a - 1)]

= [(a + b)(a - b)]/(a + b)(a - 1)

(a + b) will cancel out to get;

(a - b)/(a - 1)

3) (x² - 2x - 3)/(x² - 7x + 12)

Expanding the numerator and denominator gives;

(x² - 3x + x - 3)/(x² - 4x - 3x + 12)

= ((x + 1)(x - 3))/((x - 3)(x - 4)

(x - 3) will cancel out to get;

(x + 1)/(x - 4)

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Answer:

X = 11

Step-by-step explanation:

since the angles are supplementary that means their sum is 180

[tex]5x + 15 + 10x = 180 \\ 15x + 15 = 180 \\ 15x = 180 - 15 \\ 15x = 165 \\ x = 165 \div 15 \\ x = 11[/tex]