The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero?

Answer:

Step-by-step explanation:

y is directly proportional to the square root of ( x-3):

Given:

Find k:

Find y when x = 39:

Answer:

y = 24

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x-3}[/tex] then the equation relating them is

y = k[tex]\sqrt{x-3}[/tex] ← k is the constant of proportion

To find k use the condition when x = 28, y = 20 , then

20 = k × [tex]\sqrt{28-3}[/tex] = k × [tex]\sqrt{25}[/tex] = 5k ( divide both sides by 5 )

4 = k

y = 4 [tex]\sqrt{x-3}[/tex] ← equation of proportion

When x = 39 , then

y = 4 × [tex]\sqrt{39-3}[/tex] = 4 × [tex]\sqrt{36}[/tex] = 4 × 6 = 24

Answer:

30

Step-by-step explanation:

d=√(24²+18²)=6√(4²+3²)=6√(16+9)=6√(25)=6×5=30

Step-by-step explanation:

One gallon = 25 miles

8 gallon= 25×8 miles= 200 miles

Answer:

To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator. Let us see an example of this conversion

Step-by-step explanation:

Convert 23/4 into a mixed fraction

Answer: EACH FRIEND GETS 32 DOLLARS

Step-by-step explanation:

DIVIDE 96 BY 3

Answer:

$32

Step-by-step explanation:

Divide 96 to 3

96 ÷ 3

= $32

Answer:

x=10

Step-by-step explanation:

Given the function [tex]f(x)=8^x+7[/tex], the value of f(1) is f(1)  =  15

The given function is:

[tex]f(x)=8^x+7[/tex]

To find f(1), substitute x = 1 into f(x) and evaluate for the result

[tex]f(1)=8^1+7[/tex]

Simplify the resulting equation to get the final result

f(1)  =  8  +  7

f(1)   =  15

Therefore, given [tex]f(x)=8^x+7[/tex], the value of f(1) is f(1)  =  15

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Answer:

15,000

Step-by-step explanation:

3 times 5 is 15, just add the 3 zeros.

15,000 is the partial product of 3000*5.

A partial product is a product obtained when we multiply a multiplicand by one digit of a multiplier that has more than one digit.

Given that, 3000*5

3000*5 = 15000

Hence, the partial product of 3000*5 is 15000.

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Answer:

1. the slope is 3/1 = 3

2. the y-intercept is 2

Step-by-step explanation:

hope this helps :)

Answer:

k=10x+6

Step-by-step explanation:

64 is equal to 2^6, so we just have 2^6*4^5k

4^5x is equal to 2^10x and we have 2^6*2^10x=2^k

Apply exponent multiplication rule : a^m*a^n=a^m+n

We get 2^10x+6, so 10x+6 is our answer

The values of the new angles formed measure 87.5° each.

Angles are formed by the intersection of two lines sharing a common endpoint.

Bisect means to divide into two equal parts. Bisection of an angle is to divide an angle into two equal parts.

Given a 175 degree angle is bisected, the measure of each angle is:

Measure of each angle = 175 / 2 = 87.5°

The values of the new angles formed measure 87.5° each.

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Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the  values in a function such as ). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an  value in.

Step-by-step explanation:

Answer:

[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Step-by-step explanation:

Given the algebraic equation, [tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex], and that we must solve for z :

The first step is to multiply both sides by 4 to eliminate the fraction on the right-hand side of the equation:

[tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex]

[tex]{\huge{\green{\mathsf{(4)\:x\:=\frac{3yz^2}{4}(4)}}}[/tex]

4x = 3yz²

Next, divide both sides by 3y:

[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=\frac{3yz^2}{3y}}}}[/tex]

[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=z^2}}}[/tex]

Lastly, take the square root of both sides to isolate the variable, z :

[tex]{\huge{\green{\mathsf{\sqrt{\frac{4x}{3y}}\:=\sqrt{z^2}}}}[/tex]

[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Therefore, the equation for z is:   [tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope. a parallel line must have the same slope.

in our case here it is -3.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-4 = -3×-9 + b = 36 + b

b = -40

so, the full equation of the parallel line is

y = -3x - 40

Answer:

B is my answer si no sorry

Answer:

-7

Step-by-step explanation:

[tex]\frac{(8-1)}{(6-7)}[/tex] = [tex]\frac{7}{-1}[/tex] = -7

Answer:

1.75 feet in the blueprints for the width

2 feet in the blueprints for the length

Step-by-step explanation:

Like and give a 5-star rating

Please brainlest

Answer:

-1/2

Step-by-step explanation:

Tell me if you want a step by step.

Hope this helps. :)

Answer:

-1/2

Step-by-step explanation:

First clear the bracket of the inner fraction's numerator. This would allow you to reduce the inner fraction to lowest terms.

Given the expression

[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]

In order to simplify, note that the numerator and denominator of the fraction

[tex]\frac{(2r^2t)^3}{4t^2}[/tex]

have common factors. So, we would first remove the bracket in the numerator. This would allow us to reduce the fraction to lowest terms.

To clear the numerator's bracket, note that

[tex](2r^2t)^3=(2r^2t)\times(2r^2t)\times(2r^2t)\\=(2\times2\times2)\times(r^2\times r^2\times r^2)\times(t\times t\times t)\\=8\times r^6 \times t^3=8r^6 t^3[/tex]

that was long. The shorter way was to do the following

[tex](2r^2t)^3=2^3\times r^{2\times3}\times t^3=8r^6t^3[/tex]

so back to the original question, to simplify

[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]

we would do

[tex](\frac{(2r^2t)^3}{4t^2})^2=(\frac{2^3r^{2\times3}t^3}{4t^2})^2\\\\=(\frac{8r^6t^3}{4t^2})^2[/tex]

Now that we have removed the bracket from the numerator, we can now accomplish the step of reducing the fraction to lowest terms

[tex](\frac{8r^6t^3}{4t^2})^2=(\frac{8}{4}\times r^6\times \frac{t^3}{t^2})^2\\=(2\times r^6\times t^{3-2})^2\\=(2\times r^6\times t^1)^2\\=(2r^6t)^2[/tex]

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Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both B and C show a decreasing plot, while C is linear.

Only A is a positive ignoring the outliers.

Answer:

\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]

Step-by-step explanation:

The first one.

Answer:

Not

Step-by-step explanation:

In this case, the degree of variable y is 1 , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.

Answer:

38.30

Step-by-step explanation:

because 230 -6x=0

Answer:

Step-by-step explanation:

The relevant trig relations are ...

  Tan = Opposite/Adjacent

  Sin = Opposite/Hypotenuse

These tell us ...

  tan(43°) = GH/DG

  GH = DG·tan(43°) = (12 cm)·tan(43°) ≈ 11.2 cm

and ...

  sin(HDE) = EH/ED = (11.2 cm)/(12 cm)

  ∠HDE = arcsin(11.2/12) ≈ 68.8°

The length HD can be found from ...

  tan(68.8°) = HE/HD

  HD = HE/tan(68.8°) = (11.2 cm)/tan(68.8°) ≈ 4.3 cm

_____

Additional comments

The values shown in the solution here are rounded according to the problem statement. The values actually used in the calculations are the full-precision calculator values. Rounding is only done on the final answers.

Answer:

the answer is 10,700 :)

Step-by-step explanation:

Answer:

One Solution

x = -9/2

Step-by-step explanation: