Evaluate 3xy ^2 - 5 for x = 5, y = 8

We can only say that the value of x y is equal to the total number of forks, which is unknown..

If all forks don't fail, we can assume that the total number of a and b printed out will be equal to the number of forks since every fork prints either a or b.

Thus, x + y = the number of forks.

If the number of a printed out is x and the number of b printed out is y,

then we can assume that each fork prints either a or b or that each fork produces either x or y, depending on which one comes out first.

In any case, since all forks print a or b and no other letters, x + y must equal the total number of forks, regardless of the specific value of x or y.

Therefore, x  y = xy = the product of x and y.

We cannot determine the value of xy just by knowing the values of x and y, but we can conclude that xy will be less than or equal to the total number of forks, assuming that all forks produce either an a or a b.

Therefore, we can only say that the value of x y is equal to the total number of forks, which is unknown.

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Answer:

error

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

M,q 14,4

The value of q in the system of equations 2m-5q=8 and 4m+2q=64 is 4 thus option (A) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given system of equations,

2m-5q=8

4m+2q=64

Multiply by 2 into the equation 2m - 5q = 8

4m - 10q = 16

Subtract 4m - 10q = 16 by 4m+2q=64

-10 - 2q = 16 - 64

-12q = -48

q = 4

Hence"The value of q in the system of equations 2m-5q=8 and 4m+2q=64 is 4".

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a. There would be y = 13\(e^\frac{-t}{100}\) salt is in the tank after t minutes.

b. There would be 7.8 kg salt is in the tank after 30 minutes

(a) Let y be the amount of salt (in kg) in the tank after t minutes. We can write a differential equation for y as:

dy/dt = (salt in) - (salt out)

The rate of salt in is given by the concentration of salt in the incoming water (which is 0) times the flow rate of incoming water, which is 0 L/min. The rate of salt out is given by the concentration of salt in the tank, which is y/6000 kg/L, times the flow rate of outgoing water, which is 60 L/min. So we have:

dy/dt = 0 - (y/6000) * 60

Simplifying and solving this first-order linear differential equation, we get:

y = 13\(e^\frac{-t}{100}\)

(b) To find the amount of salt in the tank after 30 minutes, we simply plug in t = 30 into the equation we found in part (a):

y =13 \(e^\frac{-30}{100}\) ≈ 7.8 kg (rounded to one decimal place)

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To solve the problem we must know about Permutation and Combination.

The number of different types of shirts available from this company is 42.

Given to us

As given to us there are  3 designs available,

Total number of ways in which a shirt can be made  \(= ^3C_1\times ^2C_1\times ^7C_1\)

                                                                                      = 3 x 2 x 7

                                                                                      = 42 ways

Hence, the number of different types of shirts available from this company is 42.

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The volume of the prism would be enlarged by a factor of 8

The scale factor is given as:

k = 2

Let the initial volume be v and the final volume be V.

The relationship between both volumes is

V = k^3 * v

This gives

V = 2^3 * v

Evaluate

V = 8v

Hence, the volume of the prism would be enlarged by a factor of 8

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In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Jan  293  18  311  1,507 16.25%

Feb  296  15  311  1,212 32.67%

Mar 298           12  311   913 49.25%

Apr  301            9  311   612 66.00%

May  304    6  311  308 82.92%

Jun  308    3  311    0        100.00%

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Answer:

Step-by-step explanation:

to find the angle A

360-230=130

angle B=180-130=50

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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The period of the function f(x) = cos(2.22x+0.19) is 2.8323 and the period of the function f(x) = sin(1.05x)  is 5.9834

The period of a trigonometric function, we use the formula:
Period = 2π/|B|
where B is the coefficient of x in the function.

For the first function, f(x) = cos(2.22x+0.19), the coefficient of x is 2.22. Therefore, the period is:
Period = 2π/|2.22| ≈ 2.8323

For the second function, f(x) = sin(1.05x), the coefficient of x is 1.05. Therefore, the period is:
Period = 2π/|1.05| ≈ 5.9834

So, the period of the first function is 2.83 and the period of the second function is 5.98. Both answers are rounded to four decimal places.

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The measure of the value of 'x' from the expression is 8.8712

The given image is a triangle with the following parameters:

Opposite = 8

Hypotenuse = x

acute angle = 46 degrees

Required

The measure of the angle 'x'

Applying the rule of trigonometry

sin theta = opposite/hypotenuse

sin 46 = 8/x

x = 8/sin46

x = 8.8713

Hence the value of x from then given triangle is 8.8712

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Answer:

c) \((1/x)^{4}\)

Step-by-step explanation:

\((1/x)^{4}\) = \(1^{4} /x^{4}\)

=> 1 /\(x^{4}\)

=> \(x^{-4}\)

If my answer helped, kindly marl me as the brainleist!!

Answer:

Choice C. X^-2 + x^-2

Step-by-step explanation:

When u have exponents u either add them or subtract them.

Here u just do -2 + -2 which gives u an exponent of x^-4.

Answer: 2.44 inches

Step-by-step explanation:

Since the scale on a map of Virginia shows that 1 inch = 45 miles while the actual distance from Richmond, Va, to Washington, D.C., is 110 miles.

The number of inches that are between the two cities will be represented by x. Therefore,

1/x = 45/110

Cross multiply

45x = 110

x = 110/45

x = 2.44 inches

The Distance between the two cities on the map is 2.44 inches

The equation that help use to find the value of x is h(a+b)/2 = lw.

The value of x if both figure have the same area is 4 in

Area can be defined as the region bounded by a plane shape.

To write and solve an equation to find x, we use the formula of area of a trapeziod and the area of a rectangle

From the diagram,

Where:

From the diagram,

Given:

Substitute these values into equation 1 and solve for x

Hence, the equation is h(a+b)/2 = lw, and the values of x  is 4 in.

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The velocity function (in meters per second) is given for a particle moving along a line v(t)=2t - 2 The time interval is from t = 0 to t = 5. We have to find the distance traveled by the particle during the given time interval.

Given, velocity function v(t) = 2t - 2 let’s find the acceleration function by differentiating v(t) w.r.t t. a(t) = v′(t)

= d/dt (2t - 2) = 2 m/s²

Since acceleration is constant, we can use the constant acceleration formulas to find the distance traveled by the particle. We know that, v² = u² + 2as here, particle starts from rest.

Therefore, the initial velocity of the particle, u = 0v² = 2as  

⇒ s = v²/2a

The total distance traveled by the particle in the given time interval is s = s1 + s2s1

s = Distance traveled in first 2 seconds = ?

v1 = velocity at t = 0 seconds

v(0) = 2(0) - 2

= -2v² = u² + 2as1

⇒ s1 = v1²/2a

= (-2)²/2(2) = 2 m

In the next 3 seconds, particle will be moving with velocity v2 = v(5)

= 2(5) - 2

= 8v² = u² + 2as2

⇒ s2 = v²/2a

= 8²/2(2) = 16 m

Therefore, the total distance traveled by the particle during the given time interval is, s = s1 + s2

= 2 + 16 = 18 m

Hence, the distance traveled by the particle during the given time interval is 18 meters.

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Answer:

  36.4%

Step-by-step explanation:

You want the percentage change from $22 to $30.

The percentage change is given by the formula ...

  percent change = ((new value)/(old value) -1) × 100%

  = (30/22 -1)(100%) ≈ 36.4%

The stock increased in value by about 36.4%.

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The product of 13.5 and 12.1 using a regrouping strategy is 163.35.

To begin with, we can start by breaking down each number into its place value components, which are the ones, tenths, and hundredths places. We can represent 13.5 as 13 + 0.5 and 12.1 as 12 + 0.1.

So, we can rewrite 13.5 as (10 + 3) + 0.5 and 12.1 as (10 + 2) + 0.1. Now, we can use the distributive property of multiplication to multiply 13.5 by 12.1 as follows:

13.5 x 12.1 = (10 + 3 + 0.5) x (10 + 2 + 0.1)

= 10 x 10 + 10 x 2 + 10 x 0.1

+ 3 x 10 + 3 x 2 + 3 x 0.1

+ 0.5 x 10 + 0.5 x 2 + 0.5 x 0.1

Next, we can simplify each of these products by multiplying the numbers in the ones and tenths places separately, and then adding the results. For example, 10 x 10 = 100, 10 x 2 = 20, 10 x 0.1 = 1, 3 x 10 = 30, and so on.

So, continuing from the previous step, we get:

13.5 x 12.1 = 100 + 20 + 1

+ 30 + 6 + 0.3

+ 5 + 1 + 0.05

Finally, we can add up all these products to get the final answer:

13.5 x 12.1 = 163.35

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Answer:

See attached photo for work

Step-by-step explanation:



When dividing 210 by 3.5 using long division, the quotient is 60.

Dividing is a fundamental mathematical operation that involves splitting a quantity or set of items into equal parts. It is the inverse of multiplication, where one number, called the dividend, is separated into smaller portions or groups by another number, known as the divisor. The result is called the quotient. Division is denoted by the symbol "/", ÷, or ":".

When dividing 210 by 3.5 using long division, we start by dividing 2 by 3.5 which gives us 0 as the quotient. We then bring down the next digit, 1, and divide 21 by 3.5 which gives us 6 as the quotient. Finally, we bring down the last digit, 0, and divide 0 by 3.5 which gives us 0 as the quotient. Therefore, 210 divided by 3.5 is equal to 60.

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Answer:

To regroup means to rearrange groups in place value to carry out an operation.

Malaki will have approximately $296.16 in his Savings account after 7 years.

To calculate the amount Malaki will have in his savings account after 7 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount in the account,

P is the principal amount (initial deposit),

r is the annual interest rate (expressed as a decimal),

n is the number of times interest is compounded per year, and

t is the number of years.

Given:

P = $250 (initial deposit),

r = 2.5% = 0.025 (interest rate expressed as a decimal),

n = 1 (interest compounded annually),

t = 7 (number of years).

Plugging these values into the formula, we have:

A = $250(1 + 0.025/1)^(1*7)

A = $250(1 + 0.025)^7

A = $250(1.025)^7

A = $250(1.184654712)

A ≈ $296.16

Therefore, Malaki will have approximately $296.16 in his savings account after 7 years.

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The answer is, the correct statement are , 1. The matrix B² is positive definite if A is positive definite. ,2. A square matrix and its transpose have the same set of eigenvectors. , 3. A real square matrix has only real eigenvalues. , 4. The dimension of the row space of a matrix A with rank 4 is 4. , 5. The dimension of the null space of matrix A is 4.

the correct statements from the options provided:

1. The matrix B² is positive definite if A is positive definite.
2. A square matrix and its transpose have the same set of eigenvectors.
3. A real square matrix has only real eigenvalues.
4. The dimension of the row space of a matrix A with rank 4 is 4.
5. The dimension of the null space of matrix A is 4.

Please note that the statements regarding the values of x, dx, v, r, Av, and trace are incomplete or incorrect, so I have not included them in my answer.

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To determine how many gallons of water are being filled each minute, you will need some more information, such as the total gallons of water being filled and the total time it takes to fill it.

Once you have that information, you can use the following steps to find the answer:
1. Write down the total gallons of water (let's call it G) and the total time in minutes (let's call it M).
2. Divide the total gallons of water (G) by the total time in minutes (M) to find the gallons filled per minute.
For example, if you are filling a pool with 120 gallons of water and it takes 20 minutes to fill it completely, the calculation would be:
Gallons per minute = 120 gallons / 20 minutes = 6 gallons per minute
So, in this example, 6 gallons of water are being filled each minute.

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We can conclude that log10(7) is irrational using a proof by contradiction with the steps given below.

To prove that log10(7) is irrational using a proof by contradiction, we start by assuming that log10(7) is rational, which means that it can be expressed as a ratio of two integers p and q:

log10(7) = p / q

where p and q have no common factors.

We can then use the definition of logarithms to rewrite this equation in exponential form:

10^(p/q) = 7

Next, we raise both sides of the equation to the power of q to eliminate the denominator:

10^p = 7^q

Now, we can assume the opposite, which is that log10(7) is rational and then find a contradiction. If log10(7) is rational, then 10^p and 7^q are also integers. However, 7 and 10 are relatively prime, which means that they do not share any common factors.

This implies that the prime factorization of 7^q cannot include any factors of 2 or 5, which are the prime factors of 10. But since 10^p is an integer, it must have a prime factorization that includes at least one factor of 2 or 5.

Therefore, we have arrived at a contradiction, which shows that our assumption that log10(7) is rational is false. Hence, we can conclude that log10(7) is irrational.

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The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

from the question, we have the following parameters that can be used in our computation:

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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Answer: P=55

Step-by-step explanation:

52=p-3

52+3= p+3

55=p (-3+3=0)

Answer:

f(x) = x

Step-by-step explanation:

Answer:

E the base equation shifts to the right to five unit from the midpoint

Answer:

Yikes um scan and look at other peoples answers it might help u it helped me

Answer:

the change was 24F

Step-by-step explanation:

Therefore, the perimeter can be calculated by adding up all four sides: p = 2b + 2n.

To find the perimeter (p) of a parallelogram, you need to know the length of all four sides. However, in this case, you are given the ratio of the base (b) to one of the sides (a), which is n/a.
Since a parallelogram has two pairs of parallel sides, the opposite sides are equal in length. Therefore, if the base is b, then the opposite side is also b. Using the given ratio, you can find the length of the other side (n) by multiplying a by n/a, which is n.
So, the length of the other side is also n, and the perimeter can be calculated by adding up all four sides: p = 2b + 2n.
However, if given the ratio of the base to one of the sides, you can use this to find the length of the other side. For this problem, if the base is b, then the opposite side is also b, and the length of the other side is n (where n/a = b/a).

Therefore, the perimeter can be calculated by adding up all four sides: p = 2b + 2n.

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