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Write the linear equation for the following word problem:

Your family has decided to go to the lake and rent a canoe. The rangers charge $6.50 per hour in addition to a $25 rental fee.

Answer:

[tex]\mathbf{\beta=140\ dB}[/tex]

Step-by-step explanation:

The Logarithm Function

The sound level is usually calculated as a logarithm by the formula:

[tex]\displaystyle \beta=10\log\frac{I}{I_o}[/tex]

Where

I   = Sound intensity in W/square meter

Io = Smallest sound intensity that can be heard.

[tex]I_o=1\cdot 10^{-12}\ W/m^2[/tex]

The blue whale can emit a sound of I=106.8 W/square meter, thus the sound level is:

[tex]\displaystyle \beta=10\log\frac{106.8}{1\cdot 10^{-12}}[/tex]

[tex]\displaystyle \beta=10*14[/tex]

[tex]\mathbf{\beta=140\ dB}[/tex]

Answer:

120 Degrees

Step-by-step explanation:

A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.

Answer:

1. m<rsv is 42 degrees

2.

Step-by-step explanation:

1.

2. Since abc is 95, the two angles you have to solve are going to equal 95 when added because they make up the angle ABC so solving it would be like

(2x+23)+(9x-5)=95 you then solve this which would be

2x+23+9x-5 = 95 - Combine like terms

11x+18=95 Subtract 18 both sides

11x=77 divide by 11

x=7

After this you just put 7 in the equations instead of X and solve it

making angles

Answer:

12

Step-by-step explanation:

Area of triangle formula is b*a (1/2)=A

b is height for non-right triangles

6*4(1/2)=A

24(1/2)=A

12=A

Step-by-step explanation:

2400/100=24

24×10.5=252

252×5= 1260

The outlier boundaries for the given data set is: any value that is less than 30 or greater than 46.

An outlier in a data can be defined as any value that is less than Q1 - 1.5 × IQR or greater than Q3 + 1.5 × IQR.

Given the data, 34, 38, 41, 40, 36, 36, 38, 40, we have:

Q1 = 36

Q3 = 40

IQR = Q3 - Q1 = 40 - 36 = 4

Q1 - 1.5 × IQR = 36 - 1.5 × 4 = 30

Q3 + 1.5 × IQR = 40 + 1.5 × 4 = 46

Therefore, the outlier would be: any value that is less than 30 or greater than 46.

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Answer:

MB= 239627

MA= 239327

Radius= 3963

Step-by-step explanation:

Step-by-step explanation:

(12) in base 8

= (1 * 8¹ + 2 * 8⁰) in base 10

= (8 + 2) in base 10

= 10 in base 10.

(117) in base 8

= (1 * 8² + 1 * 8¹ + 7 * 8⁰) in base 10

= (64 + 8 + 7) in base 10

= 79 in base 10.

Using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.

Octal numeral system has "a base of 8 and uses the number from 0 to 7".

According to the question,

a) (12)₈

          = (1 * 8¹ + 2 * 8⁰)₁₀

          = (8 + 2)₁₀

          = 10₁₀.

b) (117)₈

        = (1 * 8² + 1 * 8¹ + 7 * 8⁰)₁₀

        = (64 + 8 + 7)₁₀

        = (79)₁₀

Hence, using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.

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The answer is 201.17

Answer:

a) 96m

b) 2 m/s^2

Step-by-step explanation:

The distance travelled in a velocity time graph as shown in the image is the area of the shape. As such, considering the first 14 seconds, the distance covered will be computed by finding the area of the shape.

Note that the shape to be considered ends t the 14 seconds mark. This shape is a trapezium. The area of  a trapezium is given as

A = 1/2(a + b) h

where a and b are the parallel sides of the trapezium and h is the height As such, the distance covered in the first 14 seconds

= 1/2 (14 + 10) * 8

= 4 * 24

= 96m

The acceleration after 4 seconds

Acceleration is the rate of change of velocity with time, at time 0 second, the velocity is also 0 but at time 4 seconds, the velocity is 8 m/s hence, the acceleration after 4 seconds

= 8/4

= 2 m/s^2

Given:

The expression is

[tex]{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}[/tex]

To find:

The simplified form of given expression.

Solution:

We have,

[tex]{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}[/tex]

On combining like terms, we get

[tex]=\left(\dfrac{2}{5}k+\dfrac{1}{10}k\right)-\dfrac{3}{5}[/tex]

Taking LCM in the parenthesis, we get

[tex]=\left(\dfrac{4k+k}{10}\right)-\dfrac{3}{5}[/tex]

[tex]=\left(\dfrac{5k}{10}\right)-\dfrac{3}{5}[/tex]

[tex]=\dfrac{k}{2}-\dfrac{3}{5}[/tex]

Therefore, the simplified form of the given expression is [tex]\dfrac{k}{2}-\dfrac{3}{5}[/tex].

Answer:

k/2-3/5

Step-by-step explanation: Khan

Answer:

It's 6.

Step-by-step explanation:

6- 1, 2, 3, 6

36- 1, 2, 3, 4, 6

The greatest common factor of 6 and 36 is 6

Given data ,

Let the first number be represented as p

where the value of p = 6

Let the second number be represented as q

where the value of q = 36

To find the greatest common factor (GCF) of 6 and 36, we need to determine the largest positive integer that can divide both numbers evenly.

To begin, we can list the factors of each number:

Factors of 6 : 1 , 2 , 3 , 6

Factors of 36 : 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36

From the lists, we can see that both 6 and 36 share a common factor of 6. The GCF of 6 and 36 is therefore 6, as it is the largest number that can evenly divide both 6 and 36.

Hence , the greatest common factor is 6

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Answer:

[tex]\mathrm{A)\:}-6[/tex]

Step-by-step explanation:

Notice that in the second equation, the coefficient of [tex]y[/tex] is [tex]2[/tex] times greater than in the first. Therefore, by making the coefficient of [tex]x[/tex] in the second equation [tex]2[/tex] times greater than in the first, it's impossible to only isolate one variable.

Therefore, when [tex]a=-3\cdot 2=\fbox{-6}[/tex], there are no solutions to this system.

Answer:

8 elements

Step-by-step explanation:

From the question given above, the following data were obtained:

Universal set (S) = 132

Set A = 63

Set B = 35

n(AuB)ᶜ = 89

n(A but not in B) =?

Next, we shall determine the number of elements common to both set A and Set B. This can be obtained as follow:

Let the number common to both set A and B be x i.e

(AnB) = x

nA = 63

nB = 35

n(AuB)ᶜ = 89

Universal set (S) = 132

S = nA + nB + n(AuB)ᶜ – (AnB)

132 = 63 + 35 + 89 – x

132 = 187 – x

Collect like terms

132 – 187 = – x

– 55 = – x

Divide both side by –1

x = –55 /–1

x = 55

Thus, the number of elements common to set A and B is 55.

Finally, we shall determine the number of elements in A but not in B as follow:

nA = 63

n(AnB) = 55

n(A but not in B) =?

n(A but not in B) = nA – n(AnB)

n(A but not in B) = 63 – 55

n(A but not in B) = 8

Thus, 8 elements are in set A but not in set B.

Answer: 7825 calories

Step-by-step explanation:

Feom the question, we are told that the meals have the following calories content meals having the following calorie counts: 975,520, 1560

.872, 1029,534,362,954, and 1019.

The sum of the calories will be:

= 975 + 520 +1560 + 872 + 1029 + 534 + 362 + 954 + 1019.

= 7825 calories

Answer:

STEP   1

Equation at the end of step 1

 (((x3) -  22x2) -  11x) +  30

STEP  2

Checking for a perfect cube

2.1    x3-4x2-11x+30  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3-4x2-11x+30  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -11x+30  

Group 2:  x3-4x2  

Pull out from each group separately :

Group 1:   (-11x+30) • (1) = (11x-30) • (-1)

Group 2:   (x-4) • (x2)

Answer:

60

Step-by-step explanation:

Hope this helps

Answer:

60

Step-by-step explanation:

Answer:

267.

Step-by-step explanation:

Answer:

x<±1 and x< -3

Step-by-step explanation:

Given the inequality x^2-1/3x+9<0, we are to find the values of x that satisfies the inequality

x^2-1/3x+9<0

x^2-1/3x+9 (3x+9)²<0*  (3x+9)²

(x^2-1)(3x+9) < 0

x²-1 < 0 and 3x + 9 <0

x²-1 < 0

x²<1

x<±√1

x<±1

Also 3x + 9 <0

3x < -9

x < -9/3

x < -3

Hence the required values of x are x<±1 and x< -3

Answer:

Yes it is.

Step-by-step explanation:

When we mix Fe(iron) to CuSO⁴ (Copper sulphate), Iron removes copper from CuSO⁴ and makes FeSO⁴. This happens because iron is more reactive than copper. We cannot remove iron from this solution now until any stronger element is added.

Answer:

(a) Chemical reaction of iron nail with copper sulphate solution in water.Iron displaces copper ions from an aqueous solution of copper sulphate.It is a single displacement reaction of one metal by another metal.Iron is placed above copper in the activity series.

Answer: 11/8

Step-by-step explanation:

1. Multiply the whole number by the denominator: 8•1=8

2. Add the numerator to the sum of the whole number and denominator: 8+3=11

3. Put the original denominator as the denominator, again: 11/8

hope this helps a bit lol

Answer:

Discounted price= $16.792

Step-by-step explanation:

Giving the following information:

The extra data costs are $20.99 monthly, but they're offering 20% off that.

To calculate the discounted price, we need to use the following formula:

Discounted price= normal price*(1 - discount rate)

Discounted price= 20.99*0.8

Discounted price= $16.792

Answer:

6/10   |    60%

Step-by-step explanation:

0.6 is the same as 6/10 because it is six-tenths.

6/10 is the percentage 60% because you can multiply the top and bottom by ten to get 100 on the bottom.

Step-by-step explanation:

Step One: We need to find a way to equate either the x terms of the y terms in each equation. ...

Step Two: Take equation b) from equation a) to eliminate the x component. ...

Step Three: substitute the value of y into either equation to find the value of x.

Step-by-step explanation:

I think x equals 125. The reason is because a triangle is 180 and if you take 180 out of a 55 you will get a 125. The y will equal 55.

Answer:

24 blue beads

Step-by-step explanation:

The number of blue beads is calculated as:

Percentage of blue beads × Total number of beads

Total number of beads = 40 beads

Hence:

= 60% × Total number of beads

= 60% × 40

= 60/100 × 40

= 24 blue beads

Joel received 24 blue beads.

Answer:

A

Step-by-step explanation:

;)

Answer:

I would say y=45x+25

I’m doing the same workbook page

(If this is wrong I’m sorry)

Hope this helps

Have a great day/night

Answer:the until prince is 4/1

Step-by-step explanation:

The graph is proportional since it’s a straight line through origin and the rate is 4/1 on the bottom

Sorry if I’m wrong

Answer:

A. $27.23

B. $467.77

Step-by-step explanation:

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

Salesperson commission = 5 1/2%

Price of couch = $495

A. Amount earned by the salesperson = 5 1/2% of $495

= 5.5% × 495

= 0.055 × 495

= 27.225

Approximately

Amount earned by the salesperson = $27.23

B.How much money will the store get from the sale of the couch?

Amount the store get = Total price - amount earned by salesperson

= $495 - $27.23

= $467.77