Lake Ontario is 24,360 square miles smaller than the size of Lake Superior. If Lake Ontario is 7,340 square miles, how many square miles is Lake Superior?

Write the equation that would be used to solve this. Use x for your variable.

Answer:

30 jellybeans

Step-by-step explanation:

5 + 3 = 8 (Total units of jellybeans)

8 units = 48

1 unit = 48 ÷ 8 = 6

Me : Sister

5 : 3

Since I get 5 units...

5 units = 6 x 5 = 30

\(\large\underline{\sf{Solution-}}\)

Solving by Eliminating method:

\(\sf \leadsto 4x + 6y = 12\:\:- - - (i)\)

\(\sf \leadsto 6x+9y = 12 \:\: - - -(ii)\)

Step 1: Multiply Eqⁿ (I) by 3 and Eqⁿ (ii) by 2 to make the coefficients of y equal. Then we get the equations.

\(\sf \leadsto 12x + 18y = 36\:\: - - - (iii) \)

\(\sf \leadsto 12x + 18y = 24\:\:- - - (iv)\)

Step 2: Subtract Eqⁿ (iii) from Eqⁿ (iv) , we get

\(\sf \leadsto (12x + 18y)-(12x + 18y) = 36-24\)

\(\sf \leadsto 0 =12, Which is a false statement. \)

Therefore, the pair of equations has no solution.

Hope this helps!!

The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.

A polynomial is an expression consisting of variable and coefficient and are used to model real world situation it is an equation of degree greater than one where the exponents of the variables can be any non-negative integer for example the polynomial equation x 2 + 3x + 2 represent a parable of windcraft polynomial are used in name variety of field such as mathematics and physics.

The process of synthetic division is used to divide polynomials of the form ax^n + bx^n-1 + ... + c, where a is the coefficient of the highest power of the variable x.

To divide -3 into the polynomial 1 8 9 -18 0, the following steps should be taken:

Step 1: Line up the divisor, -3, to the left of the polynomial, as shown below:

-3 | 1 8 9 -18 0

Step 2: Bring down the first coefficient in the polynomial, which is 1, and place it directly below the -3.

-3 | 1 8 9 -18 0
  -3

Step 3: Multiply the -3 by the first coefficient and place the result in the next row, directly below the 8.

-3 | 1 8 9 -18 0
  -3
 -3

Step 4: Add the result to the 8, and place the new result in the next row.

-3 | 1 8 9 -18 0
  -3
 -3
  5

Step 5: Repeat steps 3 and 4 for each coefficient in the polynomial.

-3 | 1 8 9 -18 0
  -3
 -3
  5
 -15
-15
 18

Step 6: The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.
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Complete questions as follows-
Divide Using Synthetic Division
-3|1 8 9 -18 0

Answer:

Step-by-step explanation:

\(\frac{x}{42}=tan 30=\frac{1}{\sqrt{3} }\\x=\frac{42}{\sqrt{3} } \times \frac{\sqrt{3}}{\sqrt{3}} =14\sqrt{3} \\\frac{42}{y} =\cos ~30=\frac{\sqrt{3}}{2} \\y=\frac{84}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} =\frac{84 \sqrt{3}}{3} =28 {\sqrt{3}}\)

The expression which represents the simplest factorization of 56st – 21t is 7t(8s - 3).

Factorization is the process of creating a list of factors. It is also an expression listing items that when multiplied together will produce a desired quantity.

Greatest common factor is the largest positive integer or polynomial that is a divisor of several different numbers.

56st - 21t

Factors of

56st = 1, 2, 4, 7, 8, 14, 28,:56, t, s

21t = 1, 3, 7, 21

The common factors of 56st and 21t is 7 and t

56st - 21t

= 7t(8s - 3)

Check:

7t(8s - 3)

= 56st - 21t

In conclusion, the simplest factorization of the expression 56st - 21t is 7t(8s - 3).

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Answer:

y=2

Step-by-step explanation:

A horizontal line has a slope of zero so the x term is zero

y = mx+b

y = b

y must equal a constant

Answer:

False the conjugate of 2+5i is 2-5i .

Step-by-step explanation:

Hope it will help you :)

Answer:

Step-by-step explanation:

In accordance with the Remainder theorem,  the given part means that the given polynomial has the roots of 1, -2 and 2.

So we write these three equations expressing this fact

   2A*1^4    - B*1^3    - C*1     - 16 = 0

   2A*(-2)^4 - B*(-2)^3 - C*(-2)  - 16 = 0

   2A*2^4    - B*2^3    - C*2     - 16 = 0

or

   2A -  B -  C = 16    (1)

  32A + 8B + 2C = 16    (2)

  32A - 8B - 2C = 16    (3)

Adding equations (2) and (3), you get

  64A           = 32,   which implies  A = 32%2F64 = 0.5.

Then from (1) and (2), substituting A = 0.5 there, you get

    B +  C = -15        (4)

   8B + 2C =   0        (5)

Expressing  B = -15 - C  from (4)  and substituting it to (5), you get

   8*(-15 -C) + 2C = 0,    or

   -120 - 8C +  2C = 0

        - 6C = 120

           C = - 20.

Then from equation (4),  B = -15 - (-20) = -15 + 20 = 5.

ANSWER.  A = 0.5;  B = 5,  C = -20.

We have three factors: (x-1),(x+2) and (x-2)

However, we have a quartic polynomial, since the degree (largest exponent) is 4

So we need a fourth factor. Let's call that x-p, for some real number p.

Let's expand out the following

(x-1)(x+2)(x-2)(x-p)

(x+2)(x-2)(x-1)(x-p)

(x^2-4)(x^2-px-x+p)

x^2(x^2-px-x+p)-4(x^2-px-x+p)

x^4-px^3-x^3+px^2-4x^2+4px+4x-4p

x^4+(-px^3-x^3)+(px^2-4x^2)+(4px+4x)-4p

x^4+(-p-1)x^3+(p-4)x^2+(4p+4)x-4p

Compare that result to 2Ax^4-Bx^3-Cx-16

Match up the corresponding terms, and we have the following equations

2Ax^4 = 1x^4 which leads to 2A = 1 and solves to A = 1/2 = 0.5

(-p-1)x^3 = -Bx^3 which leads -p-1 = -B and solves to B = p+1

(4p+4)x = -Cx which leads to 4p+4 = -C and solves to C = -4p-4

-4p = -16 which solves to p = 4

Use that value of p to find the other coefficients

B = p+1 = 4+1 = 5

C = -4p-4 = -4*4-4 = -20

The polynomial 2Ax^4-Bx^3-Cx-16 turns into x^4-5x^3+24x-16 after we plug in those A,B, and C values.

Answers:

A = 1/2 = 0.5

B = 5

C = -20

Find answers here!

https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.1170859.html

Answer:  n=c-d

Step-by-step explanation: n+d=c so n=c-d

Answer:

n=c-d

Step-by-step explanation:

Answer:

r = 6 mph and f = 11 mph

Step-by-step explanation:

Representations:  

1) speed of faster cyclist:  f = r + 5

2) speed of slower cyclist:  r

Distances covered:

(r + 5)(5 hr) + r(5) = 55 mi (total distance covered)

Then 5r + 25 + 5r = 55, or, after reducing this equation:

r + 5 + r = 11, or

2r = 6

Then r = 6 mph and f = 11 mph

The remaining zeros of Degree of f will be = -5 and 4i

According to the given question,

We can see that the given degree is = 3

∴ This means that there are 3 roots ( zeros )

We can conclude from the above statement that,

The number of roots = The degree that is given in the question.

For example, if the question gives the degree = x

Then the roots will also be = x

This question follows the complex conjugate root theorem,

This theorem states that the if there are complex roots with real coefficients then the root of its polynomial, will also be its complex conjugate.

The resultant conjugate of,

⇒ 5 = -5

⇒ -4i = +4i

Therefore, the remaining zeros of Degree of f will be = -5 and 4i

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Answer:

120 x 10^-4

Step-by-step explanation:Multiplying 1.2  by  10^2 and multiplying 10^-2  by  10^-2.Gives 120 x 10^-4  So, the mass of an average grain of rock salt is 120 x 10^-4  .

Answer:

Multiplying 1.2 by 10^2 and multiplying 10^-2 by 10^-2 gives 120 x 10^-4. So, the mass of an average grain of rock salt is 120 x 10^-4.

Step-by-step explanation:

Edmentum answer

hope this helps :)

Answer: Yes, there is an outlier of 45, This means that one person's age was 45, which is 25 years younger than the next closest age.

Hope this helps! :)

Step-by-step explanation:

Answer:

D

GIVE HIME BRAINLIEST

Step-by-step explanation:

Answer:

15*w+1.5(15)*y

15w+22.5y

Week=7 days.

7(15w+22.5y)

105y+157.5y hours

Step-by-step explanation:

Answer:

perfect square

Step-by-step explanation:

Answer:

wacha le vas a hacer x-3+21=67

Por lo tanto, tienes 280 soles en total.

Para resolver este problema, vamos a utilizar álgebra. Primero, vamos a asignar una variable para representar la cantidad total de dinero que tienes. Llamemos a esta variable "x".

Sabemos que has gastado 3/7 de tu dinero, lo cual se puede expresar como (3/7)x. Además, se nos dice que si hubieras gastado la quinta parte de tu dinero, tendrías ahora 64 soles más. Esto se puede expresar como (1/5)x + 64.

De acuerdo con la información proporcionada, podemos establecer la siguiente ecuación:

(3/7)x = (1/5)x + 64

Para deshacernos de las fracciones, podemos multiplicar ambos lados de la ecuación por 35 (un múltiplo común de 7 y 5) para eliminar los denominadores:

35 * (3/7)x = 35 * (1/5)x + 35 * 64

15x = 7x + 2240

Restando 7x de ambos lados, obtenemos:

8x = 2240

Dividiendo ambos lados por 8, obtenemos:

x = 280

Por lo tanto, tienes 280 soles en total.

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The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is

5y + 2(3y − 1) = 12 y − (y + 2)

The number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side

The comparison will show the number that can fit in the blank

Simplifying the equation at the left hand side of the equation

= 5y + 2(3y − 1)

= 5y + 6y − 2

= 11y - 2

Simplifying the equation at the right hand side of the equation

=  ⬜y − (y + 2)

let x represent the missing number

=  xy − (y + 2)

=  xy − y - 2

comparing both equations

11y - 2 =  xy − y - 2

11y =  xy − y

11y + y =  xy

12y = xy

x = 12

The missing value = 12

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Answer:

  2 +4√2

Step-by-step explanation:

Perhaps you want the simplified form of (6-√8)/(√2 -1).

The denominator can be rationalized by multiplying numerator and denominator by the conjugate of the denominator:

  \(\dfrac{6-\sqrt{8}}{\sqrt{2}-1}=\dfrac{(6-\sqrt{8})(\sqrt{2}+1)}{(\sqrt{2}-1)(\sqrt{2}+1)}=\dfrac{6\sqrt{2}+6-\sqrt{16}-\sqrt{8}}{2-1}=\boxed{2+4\sqrt{2}}\)

__

Additional comment

The conjugate of the denominator is the same pair of terms with the sign between them changed. The product of the binomial and its conjugate is then the difference of squares. Since the square of a square root eliminates the radical, multiplying by the conjugate has the effect of removing the radical from the denominator.

The same "difference of squares" relation can be used to remove a complex number from the denominator.

  (a -b)(a +b) = a² -b²

In general, the differences of terms of the same power can be factored. This means that denominators with this form can be "rationalized" by taking advantage of that factoring.

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Answer:

-----------------------

Simplify the expression in steps:

\(\cfrac{6-\sqrt{8} }{\sqrt{2}-1 } =\)

\(\cfrac{6-2\sqrt{2} }{\sqrt{2}-1 } =\)

\(\cfrac{2(3-\sqrt{2} )(\sqrt{2} +1)}{(\sqrt{2}-1)(\sqrt{2}+1) } =\)

\(\cfrac{2(3\sqrt{2}+3-(\sqrt{2}^2) -\sqrt{2} )}{(\sqrt{2})^2-1 } =\)

\(\cfrac{2(2\sqrt{2}+3-2) }{2-1} =\)

\(\cfrac{2(2\sqrt{2}+1) }{1} =\)

\(4\sqrt{2}+2\)

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer:

3\(\sqrt{11}\)

Step-by-step explanation:

\(\sqrt{99}\) = 3\(\sqrt{11}\)

The area of a rectangle is 99 square units. Its width measures 9 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

The value of the underlined digit in the number 27,416,385.( 4 is the underlined number.) is the hundred thousandths place.

The symbols, from 0 to 9 can be described as a digit. For instance, the numbers 2 and 3 are used to represent the number 23.  however amount is represented by a number.

It should be noted that It may be expressed using one, two, three, or even more digits however only single symbol used to represent a number is a digit in the case above we can see that 4 is the hundred thousandths place.

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Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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Answer:

Yes

Step-by-step explanation:

2+9x2= That means 11 x 2

Answer:

$36

Step-by-step explanation:

$48 × (100 - 25)% = $36

Answer:

90

Step-by-step explanation:

the perimeter is the sum of all side .. therefore 360 divided by 4 because the square has 4 sides so equivalent to 90

Answer:

4700 minus 1200 = 3500

Step-by-step explanation:

round 4704 down to 4700 and 1193 up to 1200

Answer:

4704 - 1193 ≈ 3,500

Step-by-step explanation:

We are given the first step to round each number to the nearest hundred.

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

4,704 can be rounded down since the rounding digit (zero) is less than or equal to 4.

4,704 ≈ 4,700

1,193 can be rounded up since the rounding digit (nine) is greater than more equal to 5.

1,193 ≈ 1,200

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

We will now take the difference of these two numbers:

4700 - 1200 = 3500

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

Hope this helps!