Simplify 6-2x + 5+4x

A rock that has been significantly reshaped on multiple surfaces by windborne particles and sometimes has a sharp edge is a(n)  ventifact:

A rock refers to the solid portion of the earth crust which contains minerals. There are three types of rocks; The sedimentary rock: They are formed from dead plants, dead animals, sand etc.

The metamorphic rock: They are formed from previously existing rocks. The igneous rock: They are formed from the solidification of the molten magma.

Hence, ventifact are rock  that has been significantly reshaped on multiple surfaces by windborne particles and sometimes has a sharp edge.

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Answer:

x = 138

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

x = B+ C

x = 68+ 70

x =138

Answer:

138 degrees

Step-by-step explanation:

A triangle is made up of 180 degrees, it lists 2 values already, 68&70. when added that equals 138.

So 180-138 is 42 degrees, which would be the last angle within the triangle.

Since a line is also 180 degrees, its 180-42, which makes x 138 degrees

Answer:

3

Step-by-step explanation:

2xy⁴ + 2x²y - 3y² + 10x³

In descending order

2xy⁴ + 10x³ + 2x²y - 3y²

Now, In this polynomial the second term is 10x³ and it's degree is 3

Thus, The answer is 3

-TheUnknownScientist

The answers to the above prompt are given as follows

B. H_o :p=0.205,  H_a : p>0.205

The null hypothesis is rejected.

1) The correct answer is B. H o :p=0.205, H_a : p  >0.205

2 The null hypothesis is that the market share for the web browser at the university is equal to the worldwide market share of 20.5%.

The alternative hypothesis is that the market share is greater than 20.5%.

3) The test statistic is calculated as follows.

z = (pa - p₀) /  √ (p₀(1-p₀) /n)

Where

* pa is the sample proportion of students who use the browser (  50/200= 0.25)

* p₀ is the hypothesized proportion of students who use the browser (0.205)

* n is the sample size (200)

The z-test statistic is 2.58.

4) The p-value is calculated as follows

p -value = P (Z > 2.58)

The p-value is   0.0094.

Since the p-value is less than the significance level of 0.05,we reject the null hypothesis   and conclude that there is sufficient evidence to suggest that the market share for the web browser at the university is greater than 20.5%.

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The original cost of the laptop was $800.

Here, we have,

given that,

you saved $200 on your new laptop because you bought it online. if this was a 25% savings from the original price.

To find the original cost of the laptop, we can set up an equation based on the given information.

Let's denote the original cost of the laptop as "x".

According to the problem, you saved $200, which is equal to 25% of the original price.

This can be expressed as:

0.25x = $200

To find the original cost, we divide both sides of the equation by 0.25:

x = $200 / 0.25

x = $800

Therefore, the original cost of the laptop was $800.

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\(a = \frac{1}{2} h(b1 + b2)\)

take h 4½ to the left

\( \frac{2a}{h} = b1 + b2\)

take b2 to the left

\(b1 = \frac{2a}{h} - b2\)

\(b2 = \frac{2a}{h} - b2\)

Answer:

5, 10, 15, 20, 25, 30

6, 12, 18, 24, 30

Answer: 30

3, 6, 9, 12, 15, 18, 21, 24

24

Answer: 24

14, 28

4, 8, 12, 16, 20, 24, 28, 32

Answer: 28

Hoped it helped :)

Laplace transforms are an essential mathematical tool used to solve differential equations. These transforms transform differential equations to algebraic equations that can be solved easily.

To solve the differential equations given in the question, we will use Laplace transforms. So let's start:Solution:a) y" – y = t y(0) = 1, y'(0) = 1First, we take the Laplace transform of the given differential equation.L{y" - y} = L{ty}

Taking the Laplace transform of both sides gives:L{y"} - L{y} = L{ty}Using the formula, L{y"} = s²Y(s) - s*y(0) - y'(0), and L{y} = Y(s) then we get:s²Y(s) - s - 1 = (1/s²) + (1/s³)Rearranging the above equation, we get:Y(s) = [1/(s²*(s² + 1))] + [1/(s³*(s² + 1))]Now, we apply the inverse Laplace transform to find the solution.y(t) = (t/2)sin(t) + (cos(t)/2)

The solution of the differential equation y" – y = t, with initial conditions y(0) = 1, y'(0) = 1 is y(t) = (t/2)sin(t) + (cos(t)/2).

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The difference between the 6th term and the 9th term of the sequence is 135

Given that the nth term is;

3n² + 11

For the 6th term, the value of n is 6

Let's solve for the 6th term

= 3( 6)^2 + 11

= 3 × 36 + 11

= 108 + 11

= 119

For the 9th term, n = 9

= 3 (9)^2 + 11

= 3( 81) + 11

= 243 + 11

= 254

The difference between the 6th and 9th term

= 254 - 119

= 135

Thus, the difference between the 6th term and the 9th term of the sequence is 135

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Answer:what

Step-by-step explanation:what does this mean

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Answer:

4x-6=-5y+9

4×=-5y+9+6

Answer:

Yes you divide 28/80 by 4 and you get 7/20

Step-by-step explanation:

Answer:

The correct answer for this question is letter "(B) There are four diagonals." It is not a property of quadrilaterals.

Answer:

b

it has 2 diagonals crossing each other

Yes, if a figure can be rotated 360° to be mapped onto itself, it is considered to have rotational symmetry.

This is because a 360° rotation means that the figure will return to its original position, making it symmetrical. Rotational symmetry is a type of symmetry where a figure can be rotated about a central point and still look the same. The degree of rotational symmetry depends on the number of times a figure can be rotated to match its original appearance. Therefore, if a figure can be rotated 360° and maintain its original appearance, it is said to have rotational symmetry of degree 1. This is true regardless of the size, orientation, or position of the figure. Yes, a figure that can be rotated 360° to be mapped onto itself is considered to have rotational symmetry. Rotational symmetry occurs when an object can be rotated around a central point and still appear the same as its original position. In the case of a 360° rotation, the figure returns to its initial configuration, confirming its rotational symmetry.

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There are 266 number of  ways to park 3 distinct cars in 9 consecutive parking slots such that at least one parking slot remains vacant between any two cars.

To determine the number of ways to park 3 distinct cars in 9 consecutive parking slots such that at least one parking slot remains vacant between any two cars, we need to consider the possible arrangements.

Let's analyze the scenario:

1. All three cars are parked in adjacent slots

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side), 6 possible positions for the second car (as it also needs one vacant slot on the right side), and the third car will occupy the remaining slot.

Total arrangements for Case 1 = 7 * 6 = 42.

2. One vacant slot between the cars

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side).

After parking the first car, there will be 5 remaining slots where the second car can be parked (one vacant slot between the first and second car).

The third car will occupy one of the remaining 4 slots.

Total arrangements for Case 2 = 7 * 5 * 4 = 140.

3. Two vacant slots between the cars

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side).

After parking the first car, there will be 4 remaining slots where the second car can be parked (two vacant slots between the first and second car).

The third car will occupy one of the remaining 3 slots.

Total arrangements for Case 3 = 7 * 4 * 3 = 84.

Total number of ways = Total arrangements for Case 1 + Total arrangements for Case 2 + Total arrangements for Case 3

Total number of ways = 42 + 140 + 84 = 266.

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A truck can carry either 576 1-foot boxes, 72 2-foot boxes, or 21 3-foot boxes.

The combination of boxes that will result in the highest payment for one truckload is 89 1-foot boxes, 3 2-foot boxes, and 3 3-foot boxes, for a total payment of $3,422.

To find how many boxes of one type will fill a truck, calculate the volume of the truck and divide it by the volume of one box.

Volume of the truck = 12 ft × 6 ft × 8 ft = 576 cubic feet

Volume of a 1-foot box = 1 ft × 1 ft × 1 ft = 1 cubic foot

Number of 1-foot boxes that will fill the truck = 576 cubic feet / 1 cubic foot = 576 boxes

Volume of a 2-foot box = 2 ft × 2 ft × 2 ft = 8 cubic feet

Number of 2-foot boxes that will fill the truck = 576 cubic feet / 8 cubic feet = 72 boxes

Volume of a 3-foot box = 3 ft × 3 ft × 3 ft = 27 cubic feet

Number of 3-foot boxes that will fill the truck = 576 cubic feet / 27 cubic feet = 21.33 boxes (rounded down to 21 boxes)

Therefore, a truck can carry either 576 1-foot boxes, 72 2-foot boxes, or 21 3-foot boxes.

To determine the combination of box types that will result in the highest payment for one truckload, calculate the total payment for each combination of box types.

Let x be the number of 1-foot boxes, y be the number of 2-foot boxes, and z be the number of 3-foot boxes in one truckload.

The volume of the boxes in one truckload is:

V = x(1 ft)³ + y(2 ft)³ + z(3 ft)³

V = x + 8y + 27z

The payment for one truckload is:

P = 5x + 25y + 100z

To maximize P subject to the constraint that the volume of the boxes does not exceed the volume of the truck:

x + 8y + 27z ≤ 576

Use the method of Lagrange multipliers to solve this optimization problem:

L(x, y, z, λ) = P - λ(V - 576)

L(x, y, z, λ) = 5x + 25y + 100z - λ(x + 8y + 27z - 576)

Taking partial derivatives and setting them equal to zero:

∂L/∂x = 5 - λ = 0

∂L/∂y = 25 - 8λ = 0

∂L/∂z = 100 - 27λ = 0

∂L/∂λ = x + 8y + 27z - 576 = 0

From the first equation, we get λ = 5.

Substituting into the second and third equations, y = 25/8 and z = 100/27. Since x + 8y + 27z = 576, x = 268/3.

Round these values to the nearest integer because no fraction for a box. Rounding down, x = 89, y = 3, and z = 3.

Therefore, the combination of boxes that will result in the highest payment for one truckload is 89 1-foot boxes, 3 2-foot boxes, and 3 3-foot boxes, for a total payment of $3,422.

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The correct answer is A. When events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event occurring.

In other words, the probability of A occurring does not depend on whether B occurs or not, and vice versa.

To find the probability of both A and B occurring, we need to use the multiplication rule of probability. The multiplication rule states that the probability of two independent events occurring together is equal to the product of their individual probabilities. That is, P(A and B) = P(A) × P(B).

For example, if the probability of event A occurring is 0.3 and the probability of event B occurring is 0.4, then the probability of both events occurring together is:

P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12

Therefore, to find the probability of event A AND B when events A and B are independent, we simply multiply the probability of A by the probability of B.

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The value of c in the perfect square trinomial x^2 + 10x + c can be determined by examining the entries in the 6-column table.

In the given table, the first column represents \(x^2\) and has entries x, x, x, x, x. The second column represents x and has missing entries, which we need to determine. The third, fourth, fifth, and sixth columns also have missing entries.

To find the value of c in the perfect square trinomial \(x^2\) + 10x + c, we need to complete the table and observe the entries in the second column. Since the first column represents \(x^2\), we can see that each entry is \(x^2\). Thus, the missing entries in the second column are x, x, x, x, x, respectively.

The perfect square trinomial \(x^2\) + 10x + c can be factored as \((x + 5)^2\), which expands to \(x^2\) + 10x + 25. Comparing this with the given expression, we can conclude that c = 25.

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Answer:

you should use a calculator

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

y = -3x-2

-3x-2 = -1/2x+12

-3.5x = 14

x = -4

y + 3(4) = -2

y +12=-2

y = -14

Answer:

5 Inches.

Step-by-step explanation:

Given the volume of a sphere\(=\dfrac{500\pi}{3} $ cubic inches\)

We want to determine the radius of the sphere.

Volume of a Sphere \(=\dfrac{4\pi r^3}{3}\)

Therefore:

\(\dfrac{4\pi r^3}{3}=\dfrac{500\pi}{3} \\$Multiply both sides by$ \dfrac{3}{\pi} \\4 r^3=500\\$Divide both sides by 4\\r^3=125\\r^3=5^3\\r=5$ inches\)

The radius of the sphere is 5 Inches.

Answer:

5

Step-by-step explanation:

The factor is (w-2)(w-12) and the solution of the expression is  w =2 or 12

Given: 2wto power of 2 minus 16w=12w-48.

This expression can be written as 2w² - 16w = 12w-48

2w² - 16w = 12w-48

2w² - 16w-12w = -48

2w² - 28w + 48 = 0

Divide through by 2:

w² - 14w +  24 = 0

w² - 12w-2w +  24 = 0

Factorize:

(w-2)(w-12) = 0

w-2 = 0 or w-12 = 0

w =2 or 12

Therefore, the solution of 2w² - 16w = 12w-48 is w =2 or 12

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Answer:

(-2,4)

Step-by-step explanation:

Hope this will help:)

Answer:

B (-2,4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sum of the three angles is 180°.

  (2x) +(x+y) +(52-2y) = 180

  3x -y = 128 . . . . write in standard form

The congruent angles have equal measure.

  2x = 52 -2y

  x + y = 26 . . . . write in standard form

__

Adding these two standard-form equations, we get ...

  (3x -y) +(x +y) = (128) +(26)

  4x = 154

  x = 38.5

  x + y = 26

  y = 26 -38.5 = -12.5

The values of interest are ...

Answer:

Keep Change Flip

Step-by-step explanation:

-19/3 divide by 5/3

keep -19/3

change the sign to multiplication

flipe 5/3 to 3/5

-19/3 times 3/5

The walking distance that is saved by cutting across the lot is 55.

A right triangle, also known as a right-angled triangle, is a triangle that has one angle that measures 90° (a right angle). The remaining two angles are acute, or less than 90°

Apply right angle triangle rules;

⇒ 38² = (x+14)² + x²

⇒ 1444 = x² + 196 + 28x + x²

⇒ 2x² + 28x - 1248 = 0

⇒  x = 19 and x = -33

Therefore, the walking distance that is saved by cutting across the lot is:

⇒ x + x + 14

⇒ 19 + 19 + 14

⇒ 52

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Answer:

David is 12 years old.

Step-by-step explanation:

Let r = Rebecca's age

Let d = David's age

let p = Dad's age

David is 3 times as younger than his dad:

d = \(\frac{p}{3}\)

David is 2 times older than Rebecca:

d = 2r

Rebecca is 30 years younger than the dad:

r = p-30

All three equations can be solved by a system

2r = \(\frac{p}{3}\)

r = p-30

multiplying r = p-30 by negative 2 and adding it to 2r = \(\frac{p}{3}\)

0 = (-2p + p/3) + 60

multiplying new equation by 3

0 = (-6p + p) + 180

5p = 180

p = 36

d = 36/3 = 12

The absolute minimum value of the function y = x² + 4x + 5 over (-∞,0) is 1 and it occurs at x = -2.

To find the absolute minimum for y = x² + 4x + 5 over (-∞,0), we need to use the concept of calculus and follow the given steps:  

Given function isy = x² + 4x + 5

We can solve this question by using calculus. For absolute minimum, we will use first derivative and second derivative of y:

First derivative: dy/dx = 2x + 4 Second derivative: d²y/dx² = 2

This second derivative is a constant value and greater than 0. This implies the function y is a quadratic function with positive coefficient of x².

This indicates the vertex of the function will be the minimum point of the function.

Now we will find the x-coordinate of the vertex using the formula: (-b/2a) = -4/2 = -2. Now we will find the value of y at x = -2:y = (-2)² + 4(-2) + 5y = 4 - 8 + 5y = 1

Hence, the point (-2,1) is the absolute minimum point of the given function y = x² + 4x + 5 over (-∞,0).

The absolute minimum value of the function y = x² + 4x + 5 over (-∞,0) is 1 and it occurs at x = -2.

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Step-by-step explanation:

Số gà mái: 24 : 6 x 5 = 20 (con)

Số gà cả đà: 24 + 20 = 44 (con)

=> Tỉ số giữa gà mái và số gà của đàn: 20/44 = 5/11