Yuriy and anduray will mail rectangular packages that meet the weight and height requirements of their delivery service. their packages are described in
the table.
yurly's package

package
height
4 in.
7 in.
length
21 in.
18 in.
width
9 in.
14 in.
part 1. the delivery service also requires that both the length and width of the packages to be 22 inches or less and that the length plus the width be no
more than 30 inches. write a system of inequalities to represent this situation. don't forget to define your variables and show your work

Answer:

A.) 7x-1

Step-by-step explanation:

It would be this because 8x-x = 7x and 6-7 = -1, so if you combined them you should get 7x - 1

6 +8x -7 -x

8x -x = 7x

6-7 = -1

The solution to the separable differential equation y' = 3yx^2, in implicit form, is log |y| = x^3 + c, where c represents the constant of integration.

To solve the separable differential equation y' = 3yx^2, we start by separating the variables. We can rewrite the equation as y'/y = 3x^2. Then, we integrate both sides with respect to their respective variables.

Integrating y'/y with respect to y gives us the natural logarithm of the absolute value of y: log |y|. Integrating 3x^2 with respect to x gives us x^3.

After integrating, we introduce the constant of integration, denoted by c. This constant allows for the possibility of multiple solutions to the differential equation.

Therefore, the solution to the differential equation in implicit form is log |y| = x^3 + c, where c represents the constant of integration. This equation describes a family of curves that satisfy the original differential equation. Each choice of c corresponds to a different curve in the family.

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sin U= |TS| / |US|

-> |US| = |TS| / sinU

-> x= 0.6 / sin 37°

-> x≈1,0

Answer:

x = 71 and y = 109

Step-by-step explanation:

x = 180 - 109 = 71

y = 109 vertical angles

Answer:

3rd option

Step-by-step explanation:

∠ 1 and 75° are corresponding angles and are congruent , so

∠ 1 = 75°

Answer:

(9,-3). is the answer hope u like it

Answer:

A ≈ 314.2 units

Step-by-step explanation:

       To find the area of the circle, we will use the given formula. We are given the diameter (d), 20, and the radius (r) is half of the diameter. 20 units / 2 = 10 units for our radius (r).

               A = πr²

               A = π(10)²

               A ≈ 314.15927

       Now, we are asked to round to the nearest tenth.

               A ≈ 314.2 units

Answer:

Step-by-step explanation:

to find g(1) we have to substitute x with 1

g(1) = g(x=1) = 2(1) +4 = 2+4 = 6

g(1) = 6

The area occupied by the ship is 10 inches².

The area of a parallelogram is -

A{||gm} = base x height

Given is that Ships in a first generation video game were modeled like the one shown in the image.

We can write the area occupied by the ship as -

Area = A{||gm} + A{triangle}

Area = {b x h} + {L x B}

Area = \($(3\frac{2}{5}\times 2)\;+\; (3\frac{2}{5}-1)\times1\frac{1}{3}\)

Area = (17/5 x 2) + (17/5 - 1) x (4/3)

Area = 34/5 + 12/5 x 4/3

Area = 34/5 + 16/5

Area = 50/5

Area = 10 inches²

Therefore, the area occupied by the ship is 10 inches².

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Answer:

b,c,e,d,a,f

Step-by-step explanation:

Answer:

70 ft.

Step-by-step explanation:

If 1 in = 10 ft. that would mean your 7 inches would be multiplied by 10 to give you 70 ft. Have a good day :)

Answer: Its a whole number. It is a composite number.

Step-by-step explanation:

Answer:

The answer is c. 81.76%

Answer: x=6

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    72-(2*x^2)=0

Pull out like factors :

  72 - 2x2  =   -2 • (x2 - 36)

Factoring:  x2 - 36  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 36 is the square of 6

Check :  x2  is the square of  x1  

Factorization is :       (x + 6)  •  (x - 6)

A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solve  :    x-6 = 0  

Add  6  to both sides of the equation :  

                     x = 6

Answer:

The equation that model the projectile's height is \(h(t) = -16.087\cdot t^{2}+900\cdot t +200\)

Step-by-step explanation:

We know that projectile is fired vertically upward from a height of 200 feet above the ground with an initial velocity of 900 feet per second and projectiles experiment a parabolic motion, which combines horizontal uniform motion and vertical uniform accelerated motion due to gravity, whose equation of motion is:

\(h(t) = \frac{1}{2}\cdot g \cdot t^{2}+v_{o}\cdot t + y_{o}\)

Where:

\(h(t)\) - Current height above the ground at instant t, measured in feet.

\(y_{o}\) - Initial height, measured in feet.

\(v_{o}\) - Initial velocity, measured in feet per second.

\(g\) - Gravitational acceleration, measured in feet per square second.

\(t\) - Time, measured in seconds.

If we know that \(g = -32.174\,\frac{ft}{s^{2}}\), \(v_{o} = 900\,\frac{ft}{s}\) and \(y_{o} = 200\,ft\), the equation that model the projectile's height is

\(h(t) = -16.087\cdot t^{2}+900\cdot t +200\)

Answer:

Part A -24 divided by 6 equals -4

The equilibrium solution of the equation y′(t) = 12y - 15 is y = 1.

To find the equilibrium solution of the given differential equation, we set the derivative y′(t) equal to zero and solve for y. In this case, we have:

12y - 15 = 0.

Solving for y, we find that y = 1 is the equilibrium solution.

Next, to sketch the direction field for t≥0, we can plot a number of points on the y-t plane and determine the direction of the derivative y′(t) = 12y - 15 at each point. Since the equation is linear, the direction field will consist of parallel straight lines with a positive slope. The lines will be steeper as y increases and less steep as y decreases.

Finally, to determine the stability of the equilibrium solution, we need to analyze the behavior of the solutions near y = 1. Since the coefficient of y in the equation is positive, the equilibrium solution y = 1 is unstable. This means that if the initial condition of the system is close to y = 1, the solution will move away from the equilibrium over time.

In summary, the equilibrium solution of the given equation is y = 1. The direction field for t≥0 consists of parallel straight lines, and the equilibrium solution y = 1 is unstable.

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Answer:

A= 0.5 and B= 4040

Step-by-step explanation:

If you write out the equation and rearrange a little it gets easier to understand.

( a + b) + (a*b) + (a - b)  you can rewrite this as

a + b + a - b + (a*b)  this is the same as 2a + ab = 2021

The way I looked at it is to figure out how to get that number 1 at the end.

The number 2020 is easy to get to.  How can you get the number 1 using either 2a or ab.

I looked at a = 0.5.   2 times 0.5 would be 1.

So now what would b have to be?  We can get the 1 at the end with the 2a part of the equation so now we have to get ab = 2020.

b = 2020/a  which using our a = 0.5, you can see that b would have to equal 4040.  Test it all out in your equation.

0.5 + 4040 + (0.5 * 4040) + 0.5 - 4040

4040.5 + (2020) - 4039.5 = 2021

So A = 0.5  and B = 4040

Answer:

The answer is 13%

Step-by-step explanation:

The approximate percent increase is 13%.

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. To calculate the percentage we need to have the initial value and the increased (new) value. In other words, we can say that percentage increase is a measure of percent change which gives the extent to which a quantity gains magnitude, intensity, or value. If the percentage increase is a negative value, then we can say that there is a percentage decrease of the same magnitude.

Following the concept of percentage increase, the percentage increase formula is derived and expressed as: Percentage Increase = [(Final Value - Initial Value)/Initial Value] × 100. It should be noted that since the percentage has to be a positive quantity, we take the absolute value of the initial value. If the percentage increase is a negative value, then it is a percentage decrease. The percentage increase is the relative change in the quantity with respect to its initial value. If the percentage change is positive, then it is the percentage increase and if the percentage change is negative, it is a percentage decrease.

Given:

initial =$900,000

Final = $900,000

% increase = $900,000- $800,000/ $800,000 * 100

% increase = 100, 000/8000

% increase = 12.5 %

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Answer:

-6

Step-by-step explanation:

Answer:

Jaden added instead of subtracting 23 and 5

Step-by-step explanation:

Answer:

y = 7

Step-by-step explanation:

Step 1: Define

y = -x + 5

x = -2

Step 2: Substitute and evaluate for y

y = -(-2) + 5

y = 2 + 5

y = 7

Answer:

H = -1/2

Step-by-step explanation:

Answer: they printed 40,978 pages in a week

When m2 = m3, it implies that the slopes of line segments 2 and 3 are equal. This condition indicates that line segments 2 and 3 are parallel.

In geometry, the slope of a line represents its steepness or inclination. When two lines have the same slope, it means that they have the same steepness or inclination, and therefore, they are parallel.

In the given context, the statement "m2 = m3" suggests that the slopes of line segments 2 and 3 are equal. This implies that both line segments have the same steepness and direction, indicating that they are parallel to each other.

The slope of a line can be determined by comparing the ratio of the vertical change (change in y-coordinates) to the horizontal change (change in x-coordinates). If two lines have the same ratio of vertical change to horizontal change, their slopes will be equal, and they will be parallel.

Therefore, when m2 = m3, we can conclude that the line segments corresponding to m2 and m3 are parallel to each other.

The correct question should be :

Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.

When m2 = m3

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Answer:

Speed of 5th car = 187 mph

Step-by-step explanation:

Given:

Mean speed of five car = 175 mph

Speed of four cars = 186,181,170,151 mph

Find:

Speed of 5th car

Computation:

Average mean = Sum of all observation / Number of observation

Mean speed of five car = Sum of five cars speed / Number of cars

175 = [186 + 181 + 170 + 151 + Speed of 5th car] / 5

186 + 181 + 170 + 151 + Speed of 5th car = 175 x 5

186 + 181 + 170 + 151 + Speed of 5th car = 875

688 + Speed of 5th car = 875

Speed of 5th car = 875 - 688

Speed of 5th car = 187 mph

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

-12x^2-8xy+12x-2y+y^2

Step-by-step explanation:

\((6x-y)(2x-y+2)\\=12x^2-6xy+12x-2xy+y^2-2y\\=12x^2+y^2-8xy+12x-2y\)

Answer:

5 (4 x + 5)

That is the answer

5 is a factor if 20 and 25 and 4x + 5 cannot be furthor be simplified.

The probabilities for the ace cards are 0.1433, 0.0045, 0.0905, 0.0482.

what is a blackjack card game?

It derives from the Twenty-One line of gambling banking games and utilises 52-card decks.

Face cards and number 10: 16 cards have point value 10 Ace cards:

4 cards have point value 1 or 11 total number of cards =

Part a)

P(Ace or 10 point card has following cases)

case l: both are Ace cards = (4/52)*3/51 =

0.0045

Case II: both are 10 point cards = (16/52)*(15/51) =

0.0905

Case III: first card Ace, second card 10 point = (4/52)*(16/51 0.0241 Case IV: first card 10 pt, second card Ace: = (16/52)"(4/51) = 0.0241

Total = 0.1433

Part b) P(both cards are Ace) = (4/52)*(3/51) = 0.0045

Partc) P(both cards have point value 10) = (16/52) * (15/51) = 0.0905

Part d) P(Ace and 10 point) = 0.0241+0.0241 = 0.0482

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