A scientists Used 786 milliliters of liquid for an experiment. How many liters of the liquid did the scientists use for this experiment?

Answer:

The answer is A Lma/o

Step-by-step explanation:

Answer:

0.5 (any number between 0 and 1)

Step-by-step explanation:

34 * 0.5 = 17

34 > 17 > 0

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

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Answer:

\(P(x) = x^{2} -4x -4\\\\P(x=-3) = (-3)^2 - (4*-3) -4\\\\P(x=-3) = 9 + 12 -4 =17\)

Answer:

=4-7

=5

:same will be 5 years older than Sabrina

Answer:

scalene

Step-by-step explanation:

none of the angles are the same size.

The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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well, we know it was 480, then we reduce it by 50.

if we take 480 to be the 100%, what's 50 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 480 & 100\\ 50& x \end{array} \implies \cfrac{480}{50}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 48 }{ 5 } ~~=~~ \cfrac{ 100 }{ x }\implies 48x=500\implies x=\cfrac{500}{48}\implies x=\cfrac{125}{12}\implies \boxed{x\approx 10.4}\)

now, the TV is only 480 - 50 = 430, then it gets reduced another 50.

if we take 430 to be the 100%, what's 50 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 430 & 100\\ 50& y \end{array} \implies \cfrac{430}{50}~~=~~\cfrac{100}{y} \\\\\\ \cfrac{ 43 }{ 5 } ~~=~~ \cfrac{ 100 }{ y }\implies 43y=500\implies y=\cfrac{500}{43}\implies \boxed{y\approx 11.6}\)

hmmm the absolute change of the reductions?   that sounds like 480 - 50 - 50 = 380.

well, the overall percentage hmmm well, that's the $100 reduction total.

if we take $480 as the 100%, what's $100 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 480 & 100\\ 100& z \end{array} \implies \cfrac{480}{100}~~=~~\cfrac{100}{z} \\\\\\ \cfrac{ 24 }{ 5 } ~~=~~ \cfrac{ 100 }{ z }\implies 24z=500\implies z=\cfrac{500}{24}\implies z=\cfrac{125}{6}\implies \boxed{z\approx 20.8}\)

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

Answer

30

Step-by-step explanation

Answer:

 \(\dfrac{x^2+8x+8}{2x+4}\\\\\)

Step-by-step explanation:

Simplify:

        \(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)

Multiply the denominator and the numerator of the first term by 2,

                        \(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)

                       \(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)

Answer:

Step-by-step explanation:

A∪B = {1,2,3,4,5}

B∩C = {4}

I don't know what CD means.

A' = {5,6,7,8,9}

Answer:

( h + 5 )^2 + ( y - 8 ) ^2 = 49

Step-by-step explanation:

Equation of a circle:

( x - h )^2 + ( y - k )^2 = r^2

Where ( h , k ) = center and r = radius

We are given that the circle has a center at ( -5 , 8 ) meaning that h = -5 and k = 8

We are also given that the circle has a radius of 7 meaning that r = 7

Now that we have identified each variable we plug the values into the equation

( h - (-5)^2 + ( y - 8 )^2 = 7^2

Our final step is to simplify

we get that the equation of the circle is

( h + 5 )^2 + ( y - 8 ) ^2 = 49

By the way ^ means exponent

The value of the required function f.g for x=4 is 0

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here: Two functions f(x)=x²+1 and g(x)=x-4

thus f(x).g(x)=(x²+1).(x-4)

                   =x³+x-4x²-4

(f.g)(4)=4³+4-4×4²-4

         = 64+4-64-4

         =0

Thus the value of (f.g)(4) =0

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Answer:

x = 30

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

60 + x+3x = 180

60 + 4x = 180

Subtract 60 from each side

60+4x-60 = 180-60

4x = 120

Divide by 4

4x/4 = 120/4

x = 30

Answer:

7.) 135%, 13.5, 8⅗

from least to greatest= 1.35, 8.6, 13.5.

= 135%, 8⅗, 13.5.

8.) ⅙, 16.7%, 0.16

from least to greatest= 0.16, 0.17, 0.17

= 0.16, 1/6, 16.7%

**sorry if it's late ...

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if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

17.8

Step-by-step explanation:

You have to add 9.2 and 63 and the subtract from 90. Hope this helped! <3

Answer:

b and d

Step-by-step explanation:

edge 2021

If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

a, ar, ar², ar³, ...

The sequence is given below.

\(\rm a_n = 4 (0.9)^n\)

Then the sum of the sequence will be given as

The first term (a) is 4. And the common ratio (r) is 0.9.

Then we get

\(\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)\)

For n = 1, we have

S₁ = 40 (1 - 0.9)

S₁ = 40 x 0.1

S₁ = 4

For n = 2, we have

S₂ = 40 (1 - 0.9²)

S₂ = 40 x 0.19

S₂ = 7.6

For n = 3, we have

S₃ = 40 (1 - 0.9³)

S₃ = 40 x 0.271

S₃ = 10.84

If the common ratio is less than one then the sequence will diverge.

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Answer:

the answer is 15% but there's none of the above

hope this helps

The set of numbers that have 11 as a common factor is {154, 231}.

The number that divides two or more numbers is called a common factor.

Given are the pair of numbers as -

{154, 231}

{143, 221}

{33, 39}

{77, 91}

The pair of numbers with the common factor 11 is {154, 231}.

Therefore, the set of numbers that have 11 as a common factor is {154, 231}.

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Answer: 39.7

Step-by-step explanation:18/55 = 13/x you can get x by solving for it.

Answer:

The interest earned on the investment was $414.09.

Step-by-step explanation:

To calculate the interest earned on the investment, we need to find the difference between the ending balance and the initial investment.

The initial investment was $575.13, and the ending balance after 8 years at a rate of 9% was $989.22.

So, the interest earned can be calculated as:

Ending balance - Initial investment = Interest earned

$989.22 - $575.13 = $414.09

Answer:

1- 9/7n

Step-by-step explanation:

1/7-9/7n+6/7=1-9/7n

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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