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Answer:

407.7

Step-by-step explanation:

volume = (4/3) * π * r³

(4/3)*PI*4.6^3=407.7

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Answer:

D

Step-by-step explanation:

The product of the greatest common factor and a sum is 12 (2 + 3).

Option C is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

24 + 36

We have the following cases:

2 (12 + 18)

3 (8 + 12)

4 (6 + 9)

6 (4 + 6)

12 (2 + 3)

Now,

The greatest common factor.

12 x 2 = 24

12 x 3 = 36

Thus,

12(2 + 3) is the product of the greatest common factor and a sum of (2 + 3).

Learn more about expressions here:

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Answer:

0.6

Explanation: 60 over 100 would be 60/100, so when converting this into a decimal, the 60 would be in the hundreths place. Therefore, the decimal would be 0.6.

Hope this Helps!

Answer:

Hiiiiiii

Step-by-step explanation:

So to get the answer you have to turn the 3/8 into a mixed number and divide  it by 111

Answer:

74F

Step-by-step explanation:

If it is 89F on Monday and it went DOWN 15 degrees, you subtract. 89-15= 74. The temp on Monday is 74 degrees F

Answer:

April took out a loan of $600 and paid it back with simple interest of $60 after 5 years. The formula to calculate interest is  given the principal  and the time   and the interest rate  is . For this problem we have to find the interest rate   given  . To archive that , we can just solve the equation making the interest rate the subject of the formula as shown below,

I= Prt

=> r= I/Pt

=> r= 60/600x5 = 1/50

The interest rate is 1/50 or 0.02 as a decimal. The interest rate is 2% as a percentage.

Step-by-step explanation:

Letthenumberofpensbexand

numberofpencilsbey

then

x+y=16ory=16−x

andtheirvalue

8x+1.5y=50

8x+(

2

3

)(16−x)=50

8x+24−(

2

3

)x=50

8x−(

2

3

)x=50−24

(

2

13x

)=26∴x=4

theny=16−x=16−4=12

Answer:

take the x together

then

2=7x-3x

2=4x

2/4=x

2=x

2 is your ans

I hope it helps mate

I will always help you understanding your assingments

have a great day

#Captainpower:)

Answer:

x = 0.05

x = 1.57

Step-by-step explanation:

The given equation is:

[tex]e^x-\ln 2x = 3.7[/tex]

Moving all terms to the left side:

[tex]e^x-\ln 2x - 3.7=0[/tex]

Now we define a function:

[tex]y=f(x)=e^x-\ln 2x - 3.7[/tex]

The solutions of the equation are the values of x such that y=0.

Since the function cannot be solved by algebraic methods, we use a graphing tool.

Those points where the graph crosses the x-axis are solutions of the equation.

Please refer to the graph in the figure below.

We can clearly identify there are two solutions at

x = 0.05

x = 1.57

Answer:

B. 68

Step-by-step explanation:

Answer:

there are 10 girls in the club

Step-by-step explanation:

25*40% is equal to 10

Answer:

A) (-2, 4)

Step-by-step explanation:

Answer:

The slope is -3

Step-by-step explanation:

Answer:

slope is -3

Step-by-step explanation:

Answer:

you will get the football

Step-by-step explanation:

Answer:

1, 2, 3, 6

Step-by-step explanation:

I don't really know how to explain this but if the only change between the two triangles is that it was reflected, then there was no change of any of the angles or side lengths, you just have to make sure you match up the rights angles and the right sides.

Answer:

Hi how are you doing today Jasmine

Answer: 596 + 860 = 1456

Answer:

120

Step-by-step explanation:

a^2 + b^2 = c^2

48^2 + x^2 = 52^2

2304 + x^2 = 2704

x^2 = 2704-2304

x^2 = 400

x = 20

52 + 48 + 20 =

120

Answer:

i think 7

Step-by-step explanation:

Answer:

1/2^4

Step-by-step explanation:

Answer:

1920 and 768

Step-by-step explanation:

its 40% of the numbers

40% of 30000 = 12000

40% of 12000 = 4800

next numbers

40% of 4800 = 1920

40% of 1920 = 768

Answer:

[tex]\frac{-1}{6}[/tex] [tex](2x-5y)[/tex]

Step-by-step explanation:

Answer:

It is B.

Step-by-step explanation:

Edge2021

[tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

"The number of the form a + ib where a, b are real numbers and [tex]i=\sqrt{-1}[/tex] "

"The polar form of complex number z = x + iy is [tex]z=r~(cos\theta+i~sin\theta)[/tex] where [tex]r=\sqrt{x^{2} +y^{2} }[/tex] and [tex]\theta=tan^{-1}(\frac{y}{x} )[/tex]"

For given question,

We have been given two complex numbers in polar form.

[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} ))[/tex] and [tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))[/tex]

We simplify above complex numbers.

[tex]w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} )) \\\\w=\sqrt{2}(\frac{1}{\sqrt{2} } +i~ \frac{1}{\sqrt{2} } ) \\\\w=1+i[/tex]

And the second complex number is,

[tex]z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))\\\\z=2(0+i~1)\\\\z=0+2i[/tex]

Now if we find the value of w - z

⇒ w - z = (1 + i) - (0 + 2i)

⇒ w - z = 1 - i

Now we find the polar form of complex number.

[tex]r=\sqrt{1^{2} +(-1)^{2} } \\\\r=\sqrt{2}[/tex]

And the value of [tex]\theta[/tex] would be,

[tex]\theta=tan^{-1}(\frac{-1}{1} )\\\\\theta=tan^{-1}(-1)\\\\\theta=\frac{3\pi}{4}[/tex]

So, w - z in the polar form would be [tex]1+i=\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

Therefore, [tex]w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))[/tex]

Learn more about the complex numbers here:

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Answer:

no

Step-by-step explanation:

I calculated

No because something proportional can't have a y-intercept, the 3 is the y intercept so your statement is not proportional.

Step-by-step explanation:

[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]

[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]