3 and 3/5 plus 6 and 3/10 equals?

Answer:

x=(k√x)/(w^2)(cube√z)

x varies directly with square root of y is:

x = k √y

And inversely with the square of w and cube root of s is:

/(w^2)(cube√z)

Now put those together:

x=(k√x)/(w^2)(cube√z)

The formula is:

x=ky/wz but add the specific info like square, roots, or etc

The volume of the right rectangular prism is 156 cubic centimeters.

We have,

The formula for the volume of a rectangular prism is:

V = l x w x h

where V is the volume, l is the length, w is the width, and h is the height.

Using the given values, we can substitute them into the formula to find the volume of the rectangular prism:

V = 13 cm x 4 cm x 3 cm

V = 156 cm^3

Therefore,

The volume of the right rectangular prism is 156 cubic centimeters.

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Answer:

D. 9

Step-by-step explanation:

here you go

this is what my teacher gave me...

please mark brainliest...

To extend this result to pair-wise global sequence alignment, a scoring function δ is chosen to ensure that an optimal edit distance alignment is also an optimal global sequence alignment.

In their STOC 2015 paper, Backurs and Indyk established that the edit distance problem, which involves finding the minimum number of operations (insertions, deletions, substitutions) required to transform one string into another, cannot be solved in subquadratic time, i.e., time complexity O(n^(2−ε)) where ε > 0, assuming the Strong Exponential Time Hypothesis (SETH).

To demonstrate that the same limitation applies to pair-wise global sequence alignment, an appropriate scoring function δ is selected. The scoring function assigns a real value to each pair of characters from the alphabet Σ, including a special symbol "-", representing a gap or an insertion/deletion operation.

By choosing the scoring function δ in such a way that it satisfies the property that an optimal edit distance alignment corresponds to an optimal global sequence alignment, it is shown that the time complexity lower bound for the edit distance problem also applies to pair-wise global sequence alignment.

This result reinforces the computational hardness of both the edit distance problem and pair-wise global sequence alignment, highlighting their intractability when considering certain time complexity assumptions.

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The particular solution of the given differential equation is: y_p(x) = (1/5)xHence, the solution is \(y_p(x) = (1/5)x.\)

The given differential equation is d²y/dx² - 4 dy/dx + 9y = xe^xThe complementary solution of the differential equation is y_c(x) = c1 e^(2x) + c2 e^(2x)Using the method of undetermined coefficients, we have to assume the particular solution as: y_p(x) = Axe^xHence, y'_p(x) = Ae^x + Axe^x = Ae^x + y_p(x)and y"_p(x) = Ae^x + 2Ae^x + Axe^x = 3Ae^x + y'_p(x)

Substitute y_p(x), y'_p(x) and y"_p(x) in the differential equation and equate the coefficients of the term xe^x:3Ae^x - 4(Ae^x + y_p(x)) + 9y_p(x) = xe^xSimplifying the above equation, we get:5Ae^x - 4y_p(x) = xe^xThis implies, A = 1/5 and y_p(x) = Ax = (1/5)x

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Answer:

6x-8=2x+4

6x-2x=8+4

4x=12

x=3

Answer:

K=40

Step-by-step explanation:

240/6=40 grams and egg

check 6x40=240

Answer:  K= 40

Step-by-step explanation: divide 240 by 6 :)

240/6=40

(A) 7 and (D) -1 are the roots of the given polynomial function x³-5x²-13x-7.

So, when we enter x = -1 into F(x), the result is 0.

Now factorize x2 - 6x - 7 by splitting the middle term.

Therefore, (A) 7 and (D) -1 are the roots of the given polynomial function x³-5x²-13x-7.

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The complete question is given below:

Which of the following are roots of the polynomial function F(x) = x^3 - 5x^2 - 13x - 7

A. 7

B. 3 + Square root of 2

C. 1 + square root of 3

D. -1

E. 1 - square root of 3

F. 3 - square root of 2

Functions can be represented as equations, tables and graphs

The equation represents a parabola, that has a vertex of (5, -7.5)

The equation of a parabola is represented as:

\(y = a(x - h)^2 + k\)

Where (h,k) represents the vertex

The equation is given as:

\(f(x) = \frac{5}{16}(x -1)(x - 9)\)

Expand the above equation

\(f(x) = \frac{5}{16}(x^2 -x - 9x + 1)\)

Evaluate the common factors

\(f(x) = \frac{5}{16}(x^2 -10x + 1)\)

Expand

\(f(x) = \frac{5}{16}(x^2 -10x) + \frac{5}{16}\)

Add and subtract k from the bracket

\(f(x) = \frac{5}{16}(x^2 -10x + k - k) + \frac{5}{16}\)

The value of k is calculated as follows:

\(k = (\frac{10}{2})^2\)

\(k = 25\)

So, we have:

\(f(x) = \frac{5}{16}(x^2 -10x + k - k) + \frac{5}{16}\)

\(f(x) = \frac{5}{16}(x^2 -10x + 25) -\frac{5}{16} \times 25 + \frac{5}{16}\)

\(f(x) = \frac{5}{16}(x^2 -10x + 25) -\frac{125}{16} + \frac{5}{16}\)

Take LCM

\(f(x) = \frac{5}{16}(x^2 -10x + 25) +\frac{-125 + 5}{16}\)

\(f(x) = \frac{5}{16}(x^2 -10x + 25) -\frac{120}{16}\)

Factorize the expression in the bracket

\(f(x) = \frac{5}{16}(x -5)^2 -\frac{120}{16}\)

So, we plot the graph of \(f(x) = \frac{5}{16}(x -5)^2 -\frac{120}{16}\).

See attachment for the graph

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Answer:

P = 10

Q=12

\(p = \frac{1}{q} \)

a). p = 1/2 = 0.5

b). 1.25 = 1/Q

Q = 1/1.25 Q = 0.8

Answer:

P=6

Q= 9.6

Step-by-step explanation:

A)

y=k/x

substitute it in.

10=k/1.2

10×1.2=k

k=12

y=12/x

x=2

12/2=6

P=6.

B)

Since we know y=kx

we know k=12

you would do 12/1.25 to give u Q

12/1.25=9.6

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

a). To maximize production within the budget, 600 units of labor and 100 units of capital should be purchased. b). The maximum production under the budgetary constraint is approximately 8,366 units.

a). To maximize production, we need to allocate the budget efficiently between labor and capital. We can calculate the number of units of labor and capital by dividing the budgeted amount by the cost per unit. The budget of $576,000 divided by the cost of labor per unit ($400) gives us 1,440 units of labor. Similarly, dividing the budget by the cost of capital per unit ($2,400) gives us 240 units of capital. However, this allocation does not maximize production within the budgetary constraint.

b). To find the optimal allocation, we can use the partial derivatives of the production function with respect to L and K. Taking the partial derivative of the production function with respect to L, we get 37.5L^(-0.25)K^0.25. Equating this to the budgeted amount of labor (600 units), we can solve for K, which comes out to be 100 units. Similarly, by taking the partial derivative of the production function with respect to K, we get 12.5L^0.75K^(-0.75). Equating this to the budgeted amount of capital (100 units), we can solve for L, which comes out to be 600 units.

By substituting these values into the production function, we can calculate the maximum number of units of production, which is approximately 8,366 units.

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Answer: $570

Step-by-step explanation: 10% of 800 is 80, so we add 80 + 150. That is equal to 230, we then subtract that amount from the original cost. SO: 800-230 = 570

The time when Mrs Jardine bakes more cookies compared to Mrs Hoy, found by writing equations representing the situation is after 6 hours

An equation is a statement expressed using mathematical symbols and numbers, in which two expressions are joined by the 'equals to' sign

The time it takes Miss Hoy to bake two dozen cookies = Four hours

The time it takes Mrs Jardine to bake one dozen cookies = Every one hour

The Head start Mrs. Hoy gets = 3 dozen Head start

The equations that represents the number of cookies Miss Hoy and Mrs. Jardine bakes, f(x), after x hours can be presented as follows;

Mrs Hoy rate = 2/4 per hour = 1/2 dozen/hour

Mrs Hoy's Head start = 3 dozen cookies

Therefore, f(x) = 0.5•x + 3

Mrs. Jardine's rate = 1 dozen/hour

Therefore, f(x) = x

Mrs. Jardine's rate is faster than Mrs. Hoy's rate, and Mrs. Hoy initially has three more dozens of cooky, therefore, when Mrs. Jardine bake more cookies than Mrs. Hoy is just after they both bake the same number of cookies, which is found as follows;

When Mrs. Hoy and Mrs. Jardine bake the same number of cookies, we get;

0.5•x + 3 = x

x - 0.5•x = 3

0.5•x = 3

x = 3 ÷ 0.5 = 6

Therefore;

When Mrs Jardine bakes more cookies compared to Mrs Hoy is after 6 hours

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Answer:

9

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) then the discriminant is

Δ = b² - 4ac

x² + 5x + 4 = 0 ← is in standard form

with a = 1, b = 5 , c = 4 , then

b² - 4ac = 5² - (4 × 1 × 4) = 25 - 16 = 9

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

The correct answer is D. $2.75 / $3.24

To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:

Philadelphia: $117

Cleveland: $106

To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:

Expected Gas Price = National Average * (Transportation Expense / National Average)

National Average for gas = $2.59

For Philadelphia:

Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30

For Cleveland:

Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51

Comparing the expected gas prices, we find that:

A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.

C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.

Therefore, the correct answer is:

D. $2.75 / $3.24

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The correct option is; 4: this contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3.

The function being used is;

f(x) = (x - 3)⁻²

If we separate this function according to x, we obtain;

f'(x) = -2/(x - 3)³

Finding all c values f(7) − f(1) = f '(c)(7 − 1).is our goal.

This suggests that;

0.06 - 0.25 = -2/(c - 3)³ x 6

-0.19 =  -12/(c - 3)³

(c - 3)³ = 63.157

c = 6.98

If the Mean Value Theorem holds for this function, then f must be continuous on [1,7] and differentiable on (1,7).

But when x = 3, f is not continuous, hence the Mean Value Theorem's prediction is false.

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The complete question is-

Let f(x) = (x − 3)−2. Find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) c = Based off of this information, what conclusions can be made about the Mean Value Theorem?

Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

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Answer:

y=x-4

Step-by-step explanation:

I graphed this out and got the equation.

ANSWER:

23 miles: 20 inches

STEP-BY-STEP EXPLANATION:

We know that the actual distance is 4.6 miles and the distance on the map is 4 inches, we must make them whole numbers, for that we multiply both by 5, just like this:

Therefore, the scale on the map would be 20 inches representing 23 miles as the actual distance.

Answer:

226.19 cubic units

Step-by-step explanation:

radius = r = 6 units

height = h = 6 units.

To find the volume of resulting solid, subtract the volume of cone from the volume of hemisphere.

Volume of the resulting solid = Volume of hemisphere - volume of cone

                                                \(\sf \bf = \dfrac{2}{3}\pi r^3 - \dfrac{1}{3}\pi r^2h\\\\\\=\dfrac{2}{3}*3.14*6*6*6 - \dfrac{1}{3}*3.14*6*6*6\\\\\\=(3.14*6*6*6)(\dfrac{2}{3}-\dfrac{1}{3})\\\\=3.14*6*6*6**\dfrac{1}{3}\\\\=3.14*6*6*2\\\\=226.19 \ cubic \ units\)

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

Answer:

from Ron to Bill from Bill to John the ball traveled about 80 yd

Step-by-step explanation:

Ron 30 yd from John

Bill 40 yd away from John

Bill 10 yd away from John

Step-by-step explanation:

Resting is important for muscle regeneration.

Hey there! I'm happy to help!

Train X takes out 1/4 of our journey.

Now, we have 3/4 of the journey left.

Train Y takes 3/4 of the last 3/4 of the journey. How much is that, let's just multiply the fractions!

3/4*3/4= 9/16

So, 9/16 of the total journey is done by Train Y.

A fourth of 16/16 is 4/16, so that leaves us with 3/16 left to go.

So, 3/16 of our total distance is equal to 10 km. Let's call our total distance d and set this up as an equation.

3/16d=10

Divide both sides by 3/16.

d= 53 1/3

We also remember that Train Y gave us 9/16 of our total journey, so we can multiply this by our total distance to see how far train Y went.

53 1/3 * 9/16= 30

So, A. Ahmad traveled 30 miles by Train Y and B. his total distance traveled is 53 1/3 miles.

Have a wonderful day and keep on learning! :D

Answer: m<O = 11

Step-by-step explanation: you add angle N, O, and P to equal to 180° and when you solve that equation you get 11. Hopes this helps love u ❤️

The measure of angle O from the given triangle is 9°.

Given that, m∠N=(5x-8)°, m∠O=(x-5)° and m∠P=(6x+1)°.

We need to find the measure of angle O.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Now, m∠N+m∠O+m∠P=180°

⇒ (5x-8)°+(x-5)°+(6x+1)°=180°

⇒ 5x+x+6x-8-5+1=180

⇒ 12x-12=180

⇒ 12x=192

⇒ x=192/12

⇒ x=16

So, m∠O = 16-5=9

Therefore, the measure of angle O from the given triangle is 9°.

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Answer:

A. 4 hours

Step-by-step explanation:

100 divided by 25