Write an equation that expresses the following relationship.
w varies directly with u and inversely with the square of d
In your equation, use k as the constant of proportionality.

You may need to delete the dollar sign and/or the comma when typing in the answer.

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Work Shown:

[tex]A = P*e^{rt}\\\\50,000 = P*e^{0.019*20}\\\\50,000 = P*e^{0.38}\\\\P = \frac{50,000}{e^{0.38}}\\\\P \approx 34,193.0704606\\\\P \approx 34,193.07\\\\[/tex]

Side note: the 'e' is a special constant roughly equal to 2.71828...

shining dnkxdvsuxnxkjdndnx

9514 1404 393

Answer:

  (c)  Yes, SSS

Step-by-step explanation:

The three pairs of corresponding sides have the same ratio:

  12/8 = 15/10 = 21/14 = 3/2

The triangles are similar by SSS.

_____

No angles are shown, so SAS and AAA cannot apply.

Answer:

y<x

y<4

Step-by-step explanation:

this is because the first line is passing through the point 4 on the y axis but the line drawn isn't a solid line therefore the answer will just be y<4, not less than or equal to.

while for the second line it's cutting the graph into two equal parts,the shaded part represents y<x you can prove it by getting two points on that side of the graph let's say (-5,5)

this will be -5<5..which is right.

I hope this helps

Answer:

[see below]

Step-by-step explanation:

Reflection over the x axis is: [tex](x,y)\rightarrow(x,-y)[/tex]

(0, -2) - > (0, 2)

(5, -1) - > (5, 1)

(2, -4) - > (2, 4)

A'B'C'  should be (0,2), (5,1) and (2,4). (Or option B)

Hope this helps.

Answer:

648 is the sum of consecutive prime numbers 317 and 331.

The sixth root of 648 begins with 2.941682753. Notice all the digits from 1 to 9 appear somewhere in those nine decimal places. OEIS.org states that 648 is the smallest number that can make that claim.

From Archimedes-lab.org I learned some powerful facts about the number 648:

16² – 17² + 18² – 19² + 20² – 21² +22² – 23² + 24² – 25² + 26² – 27² + 28² – 29² + 30² – 31² + 32² = 648

48² – 47² + 46² – 45² + 44² – 43² +42² – 41² + 40² – 39² + 38² – 37² + 36² – 35² + 34² – 33² = 648

(1^2)(2^3)(3^4) = 648

18² + 18²  = 648

(6^3) + (6^3) + (6^3) =648

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Print the puzzles or type the solution on this excel file: 10 Factors 2015-10-12

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648 is a composite number.

Prime factorization: 648 = 2 x 2 x 2 x 3 x 3 x 3 x 3, which can be written 648 = (2^3) x (3^4)

The exponents in the prime factorization are 3 and 4. Adding one to each and multiplying we get (3 + 1)(4 + 1) = 4 x 5 = 20. Therefore 648 has exactly 20 factors.

Factors of 648: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Factor pairs: 648 = 1 x 648, 2 x 324, 3 x 216, 4 x 162, 6 x 108, 8 x 81, 9 x 72, 12 x 54, 18 x 36, or 24 x 27

Taking the factor pair with the largest square number factor, we get √648 = (√324)(√2) = 18√2 ≈ 25.455844122…

Answer:

[tex]sin(0)=opposite/hypotenuse,cos(0)=adjacent/hypotenuse[/tex]

[tex]sin(60)=\frac{x}{8\sqrt{5} } ,\:\:cos(60)=\frac{y}{8\sqrt{5} }[/tex]

[tex]\frac{\sqrt{3} }{2} =\frac{x}{8\sqrt{5} } \:\:\:\:\frac{1}{2} =\frac{y}{8\sqrt{15} }[/tex]

[tex]2x=8\sqrt{5} \times\sqrt{3} \:\;\:\:2y=1\times8\sqrt{15}[/tex]

[tex]2x=\frac{8\sqrt{15} }{2} \:\:\:\:2y=8\sqrt{15}[/tex]

[tex]x=8\sqrt{15} /2\:\:\: y=8\sqrt{15} /2[/tex]

[tex]x=4\sqrt{15}[/tex]    [tex]y=4\sqrt{15}[/tex]

OAmalOHopeO

Answer:

Where is the table cant help unless shown

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

12< average >16

14 is the only one in between 12 and 16.

or.....................................................................................................

12 + 16 + 13 = 41.

41/3 = 13 2/3.

13 2/3 rounds to 14 and it's the closest to it.

Its Option 2

-3°C < 1°C

Explanation:

The best possible interpretation will be the above.

To show -3 cooler we will use this sign <

Must click thanks and mark brainliest

Answer:

54

Step-by-step explanation:

They are supplementary and add to 180 so subtract 126 from 180 and you get 54

Answer:

Hence the probability that she paid cash is  0.105

Step-by-step explanation:  

P(cash) = 0.3  

P(credit card ) = 0.3  

P(debit card ) = 0.4  

P ( more than $50 | cash ) = 0.2  

P (more than $50 | credit card ) =0.9  

P (more than $ 50 |debit card ) = 0.6  

P ( more than $50) = P ( more than $50 | cash )* P (cash) + P (more than $50 credit card ) * P(credit card ) + P (more than $ 50 |debit card )* P(debit card )  

= 0.2 * 0.3 + 0.9 * 0.3 + 0.6* 0.4  

= 0.57  

P ( more than $50) = P ( more than $50 | cash )* P (cash) / P ( more than $50)  

= 0.2* 0.3 / 0.57  

= 0.105

Answer:

False, false

Step-by-step explanation:

I’m not 100% sure but I think that’s the correct answer

Answer:

732 samples ;

752 samples

Step-by-step explanation:

Given :

α = 90% ; M.E = 0.03 ; p = 0.58 ; 1 - p = 1 - 0.58 = 0.42

Using the relation :

n = (Z² * p * (1 - p)) / M.E²

Zcritical at 90% = 1.645

n = (1.645² * 0.58 * 0.42) / 0.03²

n = 0.65918769 / 0.0009

n = 732.43076

n = 732 samples

B.)

If no prior estimate is given, then p = 0.5 ; 1 - p = 1 - 0.5 = 0.5

n = (Z² * p * (1 - p)) / M.E²

Zcritical at 90% = 1.645

n = (1.645² * 0.5 * 0.5) / 0.03²

n = 0.67650625 / 0.0009

n = 751.67361

n = 752 samples

Answer:

4

Step-by-step explanation:

Since each friend wants 4 cookies, and there are 10 friends, there are 10 x 4 = 40 cookies total Moses should buy. Since each cookie box has 10 cookies in it, he should buy 40/10 = 4 total cookie boxes.

Answer:

1st option (top left)

Step-by-step explanation:

1st option represents a linear function

y = x/2

Answered by GAUTHMATH

Step-by-step explanation:

A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded

Answer:

70 shovels of gravel, and 21 shovels of cement.

Step-by-step explanation:

35/5 = 7.

10 x 7 = 70, which is the number of shovels for gravel.

3 x 7 = 21, which is the number of shovels for cement.

The original price of the dress is $294 if the dress is on sale for $98.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

A dress is on sale for $98.

Discount price = (1/3)original price

Let x be the original price of the dress.

We can make a mathematical equation:

(1/3)x = 98

x = $294

Thus, the original price of the dress is $294 if the dress is on sale for $98.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

Julio's gross income before the tax deductions is $ 405.

Step-by-step explanation:

Given that Julio has a net pay of $ 537.00 each paycheck, and he pays $ 142.00 in pre-tax deductions and taxes each paycheck, to determine what is Julio's gross income before the tax deductions the following calculation must be performed:

547 - 142 = X

405 = X

Therefore, Julio's gross income before the tax deductions is $ 405.

Answer:

SURE

Step-by-step explanation:

-7 x 7 = -49

We can first figure out 7 x 7, which will be 49. Once we have that, we can look at our negatives. If we have an odd number of negative signs, the answer will be negative. If we have an even number of negative signs, the answer will be positive. In this case, we only have 1 negative sign, and 1 is odd, therefore our answer will be odd.

ANSWER: -49

Hope this helps!

Answer:

-49

Step-by-step explanation:

i cant find a way to explain but you can count or use a table

Answer:

There are two points of intersection

(-4,1) and (1,-4)

Step-by-step explanation:

Answer:

the guy above me is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

same as the person above plato 2022'

Answer:

The first difference is -5. The next term is -31.

Step-by-step explanation:

If you find the difference between -6 and -11, then you get -5.

And, all the other ones also have differences of -5, so basically, the next term is -31.

Thanks! Please mark me Brainliest!

Answer:

===================================================

Explanation:

Pick any term and subtract off the previous term

No matter what we picked, we end up with the same result which is -5. This is the common difference aka first difference.

If this pattern keeps up forever, then the sequence is arithmetic.

And if the pattern keeps up, then the next term would be

term6 = term5 + (common difference)

term6 = -26 + (-5)

term6 = -31

Note: Adding -5 is the same as subtracting 5.

Answer:

see below

Step-by-step explanation:

x^2 + 10x+25 =0

This is the sum of squares

(x+5)^2 =0

x = -5   one solution

x^2 +5x = 0

x(x+5) = 0

x=0   x=-5   two solutions

x^2 -10x +25 = 0

This is the difference of squares

(x-5)^2 = 0

x=5   one solution

x^2 -25 =0

x^2 = 25

x = ±5   two solutions

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex] x^2+10x+25=0\\\\(x)^2+2.x.5+(5)^2\\\\(x+5)^2 [/tex]

[tex]x^2+5x=0\\\\x(x+5)=0\\\\x=0,x+5=0 [/tex]

[tex]x^2-10x+25=0\\\\(x)^2-2.x.5+(5)^2\\\\(x-5)^2[/tex]

[tex]x^2-25=0\\\\x^2=25\\\\x= \binom{ + }{ - }5 [/tex]

Answer: 262144

Step-by-step explanation: You can calculate & draw it out. Then, add the values in the second-to-bottom row of the picture below.

262144 if I'm correct....

Given:

The terminal point of [tex]\theta[/tex] is [tex]\left(\dfrac{1}{2},\dfrac{\sqrt{3}}{2}\right)[/tex].

To find:

The value of [tex]\sin \theta[/tex].

Solution:

If the terminal point of [tex]\theta[/tex] is [tex](x,y)[/tex], then

[tex]\sin \theta = \dfrac{y}{\sqrt{x^2+y^2}}[/tex]

The terminal point of [tex]\theta[/tex] is [tex]\left(\dfrac{1}{2},\dfrac{\sqrt{3}}{2}\right)[/tex]. So,

[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{\left(\dfrac{1}{2}\right)^2+\left(\dfrac{\sqrt{3}}{2}\right)^2}}[/tex]

[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{\dfrac{1}{4}+\dfrac{3}{4}}}[/tex]

[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{1}}[/tex]

[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{1}[/tex]

[tex]\sin \theta =\dfrac{\sqrt{3}}{2}[/tex]

Therefore, the correct option is B.

Answer:

16 mls of the 75% solution and 20 mls of the 0.57% solution.

Step-by-step explanation:

Set up a system of equations:

Let x = volume of 75% solution and y be volume of 57% solution

0.75x + 0.57y = 36*0.65

0.75x + 0.57y = 23.4.......(1)

x + y = 36.........(2)

From equation (2):

y = 36 - x

Substituting this into equation(1):

0.75x + (0.57(36 - x) = 23.4

0.75x + 20.52 - 0.57x = 23.4

0.18x = 23.40 - 20.52 = 2.88

x = 2.88/0.18

x = 16

so from equation (2): y = 36-16 = 20.