What is the solution to this system of equations? 5x + 2y= 29
x + 4y = 13

A x = 5, y = 3
B. x=2, y=5
C. X= 5, y = 2
D. x= 3, y = 2​

Answer:

6 months

Step-by-step explanation:

The length of arc AB in terms of pi is 16pi.

We have,

To find the length of the arc AB in terms of pi, we can use the formula:

Length of arc = (angle intercepted by arc / 360 degrees) * (circumference of the circle)

Given:

Diameter = 32 (which means the radius is half of the diameter, so the radius is 32/2 = 16)

Angle intercepted by arc AB = 180 degrees

First, we need to find the circumference of the circle using the formula:

Circumference = 2 x pi x radius

Circumference = 2 x pi x 16 = 32 x pi

Now, we can calculate the length of arc AB:

Length of arc AB = (180 / 360) x (32 x pi)

Simplifying:

Length of arc AB = (1/2) x (32 x pi)

Length of arc AB = 16 x pi

Therefore,

The length of arc AB in terms of pi is 16pi.

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Answer:

x = 135

Step-by-step explanation:

The angles at the bottom are right angles (90°)

The sum of interior angles in this rectangle is equal to 720°

Find the sum of interior angles

4x + 180 = 720 subtract 180 from both sides

4x = 540 divide both sides by 4

x = 135 this is also giving us the measure of missing angles.

Solution. To graph f, we graph the equation y=f(x).

To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x -intercepts, we set y=0. Since y=f(x), this means f(x)=0.

\($$\begin{aligned}f(x) & =x^2-x-6 \\0 & =x^2-x-6 \\0 & =(x-3)(x+2) \quad \text { factor } \\x-3=0 & \text { or } x+2=0 \\x & =-2,3\end{aligned}$$\)

So we get (-2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x=0. Using function notation, this is the same as finding f(0) and f(0)=0^2-0-6=-6. Thus the y-intercept is (0,-6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right.

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Answer:

899

Create a divison

17÷9=12

1222

7888

909

6762

177÷12×22+22

Note that the step that is not involved in graphing a logarithmic function is: "Switch the order of the x and y values in the ordered pairs." (Option A)

With regard to the graphing problem above, note that switching the order of the x and y values in an ordered pair is not a step in graphing a logarithmic function because it is not a necessary or relevant step in the process.

To graph a logarithmic function, one typically follows the steps of creating a table of values, plotting the points, and then drawing a line of best fit to show the graph. The order of the x and y values in the ordered pair remains unchanged in this process.

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Answer:

A. y≥\(\frac{1}{3\\}\)x+3, 3x-y>2

Step-by-step explanation:

The linear equations above match the lines in terms of slope and y-intercept.

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The system of linear inequalities of the given points is required.

The system of inequality is

\(x-3y\leq -9\)

\(3x-y>2\)

Points of the first line

\((0,3)\)

\((3,4)\)

The equation of the line is

\(y-3=\dfrac{4-3}{3-0}(x-0)\\\Rightarrow y-3=\dfrac{1}{3}x\\\Rightarrow y-\dfrac{1}{3}x=3\\\Rightarrow 3y-x=9\\\Rightarrow x-3y=-9\)

Let us take a point above this line \((2,4)\)

It is also a solid line.

\(2-3\times 4=-10<-9\)

So, the inequality is \(x-3y\leq -9\)

Points of the second line

\((0,-2)\)

\((1,1)\)

The equation of the second line is

\(y+2=\dfrac{1+2}{1-0}(x-0)\\\Rightarrow y+2=3x\\\Rightarrow 3x-y=2\)

Let us take a point towards the right of the line \((2,2)\)

\(3\times 2-2=4>2\)

Since, the line is dashed the second inequality will be \(3x-y>2\)

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Answer:

C: 75%

Step-by-step explanation:

27 out of 36 are red.  You find the percentage by diving 27 by 36 and then moving the decimal place over to the right 2 spaces.  27 / 36 = .75

Answer:

14494

Step-by-step explanation:

if it said above sea level it is positive and if it is below it it negive

Answer:

14.494

Step-by-step explanation:

Above sea level means that it's not underwater, or below. Because she's above, it's going to be a positive number. So then the answer remains the same. Though if it were BELOW sea level it would be negative.

Answer:

I think it is c but if not then I am not sure I did my work for this problem and I got this answer

Therefore ,The marked point will now have the updated coordinates P' (2, 7).

When a figure is transferred from one area to another without altering its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Here,

On an X-Y coordinate plane, a figure is plotted.

When translating a figure 7 units to the down, we must provide the coordinates of the indicated point in the original figure

"(x, y)" = "(x + m, y + n)"

In response to the query, we have

The specified point's coordinates are: P (5,4).

The new coordinates of the indicated spot after this figure is translated 6 units to the right will be -

P'( 5,4- 7) = P'(5, -3) (5, -3)

As a result, the designated point's new coordinates are P' (5, -3)

The new coordinates of the marked point will be - P'(5, -3)

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106° is value of ∠U in congruent triangle.

What do you mean by congruent?

Congruent refers to objects that are precisely the same size and shape. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.

                     Congruent triangles are two triangles that are identical in terms of their size and shape. Two congruent triangles remain congruent even if we flip, rotate, or otherwise alter one of the triangles. Two triangles must have the same sides in order for them to have the same angles and, as a result, to be congruent.

ΔUVW,

UV ≅ WU

∠W = 38°

 ∠U = ?

∠U = 180 - (38° + 38° )

      = 180 - (  76° )

      =   106°

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Answer:

115

Step-by-step explanation:

Luis has 23 milk jars × 5

23 × 5 = 115

Luis has 115 milk jars in all

The measure of angle x in the right triangle is approximately 14.6 degrees.

The figure in the image is that of two right angles.

First, we determine the hypotenuse of the left-right angle.

Angle θ = 30 degrees

Adjacent to angle θ = 10 cm

Hypotenuse = ?

Using the trigonometric ratio.

cosine = adjacent / hypotenuse

cos( 30 ) = 10 / hypotenuse

hypotenuse = 10 / cos( 30 )

hypotenuse = \(\frac{20\sqrt{3} }{3}\)

Using the hypotenuse to solve for x in the adjoining right triangle:

Angle x =?

Adjacent to angle x = \(\frac{20\sqrt{3} }{3}\)

Opposite to angle x = 3

Using the trigonometric ratio.

tan( x ) = opposite / adjacent

tan( x ) = 3 / \(\frac{20\sqrt{3} }{3}\)

tan (x ) = \(\frac{3\sqrt{3} }{20}\)

Take the tan inverse

x = tan⁻¹(  \(\frac{3\sqrt{3} }{20}\) )

x = 14.6 degrees

Therefore, angle x measures 14.6 degrees.

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Answer:

(2a-7)(2a-7) can be expanded using the FOIL method (First, Outer, Inner, Last):

Step-by-step explanation:

First: (2a)(2a) = 4a^2

Outer: (2a)(-7) = -14a

Inner: (-7)(2a) = -14a

Last: (-7)(-7) = 49

Combining these terms, we have:

(2a-7)(2a-7) = 4a^2 - 14a - 14a + 49

Simplifying further:

= 4a^2 - 28a + 49

Answer:

4a² - 28a + 49

Step-by-step explanation:

Either use FOIL or (a + b)² = a² + 2ab + b²

Using FOIL:

(2a - 7)(2a - 7) = 4a² - 14a - 14a + 49 = 4a² - 28a + 49

Using (a + b)² = a² + 2ab + b²:

(2a - 7)(2a - 7) = (2a - 7)² = 4a² - 28a + 49

There is only one group of participants will receive treatment e as the first treatment.

What is lain square design?

A block with a Latin square design has v Latin characters arranged in a

v x v array (a table with v rows and v columns). Latin square designs are

frequently employed in studies in which individuals are assigned to treatments over a predetermined time period, where it is assumed that time has a significant impact on the experimental response.

The Latin Square Design's name comes from the fact that the treatments can be represented by a square written in Latin letters. Latin letters in the Latin square shape represent the treatment factor levels. The number of treatment levels must match the number of rows and columns.

Hence, There is only one group of participants will receive treatment e as the first treatment.

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Complete question :

There are 575 fireworks to be shot off in a firework display every minute 12 new fireworks are shot off display write a verbal model and algebraic expression to represent the number of fireworks left to be shot off after t minutes.

Answer:

575 - 12t

Step-by-step explanation:

Given the following :

Total number of fireworks = 575

Number of shots per minute = 12

To calculate the number of fireworks left to be shot off after t minutes, The total number of fireworks already shot after the same time interval t in minutes, is first obtained, this is equivalent to (12*t). The result is then subtracted from the total number of fireworks to be shof off.

In algebraic terms

[total number of fireworks on display - (number of shots per minute × t)]

575 - 12t

Answer:

Jamal has 2.5 feet of yarn

Step-by-step explanation:

Answer:

297

Step-by-step explanation:

If a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function is "false" statement.

A matrix function can be defined in a variety of ways (or matrix-valued function). One manner is in which the function takes the shape of a matrix, rather than numbers, the matrix contains functions. A(t), for example, is a 2 x 2 matrix function.

Some key features regarding the matrix function are-

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The complete question is-

If a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function. (True/False)

Answer:

Observational

Step-by-step explanation:

Observational studies are studies that measure the outcome of events without the introduction of interventions. They are useful in the formation of a hypothesis. The experiment described above is an observational study that compares two groups so as to measure the predictors of an outcome. No intervention is introduced to influence the outcome of the research.

An experiment on the other hand is often organized as a randomized control trial where subjects are divided into groups and a placebo or control group is introduced to monitor the outcome of the study.

To achieve an equilibrium strategy of (Cooperate, Cooperate) in an infinite game with a time discount of 0.32, the value of x should be 5.

In the given game, Player 1 and Player 2 have two possible choices: Cooperate or Defect.

The payoffs for each choice are presented in the table format provided. To determine the equilibrium strategy, we need to consider the players' incentives and find a situation where neither player has the incentive to deviate from their chosen strategy.

In this case, we want the equilibrium strategy to be (Cooperate, Cooperate), which means both players should choose to cooperate. To analyze the game, let's consider Player 1's perspective.

If Player 2 cooperates (first column), Player 1's best response is to cooperate as well since the payoff is higher for cooperation (x) compared to defection (2 or 26).

However, if Player 2 defects, Player 1's best response is to defect as well, as the payoff for defection (26) is higher than cooperation (5).

Since Player 1's best response is to always cooperate regardless of Player 2's choice, we can conclude that Player 1 will always choose to cooperate.

To achieve the equilibrium strategy, Player 2 should also choose to cooperate. Therefore, in the (Cooperate, Cooperate) equilibrium, Player 2's payoff for cooperation should be equal to Player 1's payoff for cooperation.

Looking at the table, we see that the only common payoff for cooperation is (5, 5). Hence, for the equilibrium strategy to be (Cooperate, Cooperate), the value of x should be 5.

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The diameter of the circular plate is 16.3 inches (rounded to the nearest tenth of an inch).

The given figure can be visualized as a circle with two perpendicular chords of length 7 inches each.

The chords are bisected perpendicularly by two segments passing through the center, each of length 6 inches.

Now, we have to find the diameter of the circular plate.

To find the diameter, we have to draw a perpendicular line to the center from one of the endpoints of a chord.

This will give us a right triangle with one side as 3 inches (half of the length of the chord) and the hypotenuse as the radius of the circle.

Using Pythagoras theorem, we get:

r² = 3² + 6² = 45r = √45 = 3√5 inches

Since the radius is 3√5 inches, the diameter is 6√5 inches.

To get the value of the diameter to the nearest tenth of an inch, we substitute 3.16 for √5.

Therefore, the diameter of the circular plate is:

Diameter = 6(3.16) = 18.96 inches ≈ 16.3 inches (rounded to the nearest tenth of an inch).

Thus, the diameter of the circular plate is 16.3 inches (rounded to the nearest tenth of an inch).

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Answer: 0 chocolates .

Step-by-step explanation: 48= 8f

divide 8 on both sides which equals 6.SO f =6 .And 8 times 6 =48 .

Answer:

(f + g)(x) = 5x - 3

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 2x + 4 + 3x - 7 ← collect like terms

= 5x - 3

Answer:

5x - 3

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= 2x + 4 + ( 3x - 7 )

= 5x - 3

The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k can be written as,

\(xy=k\\\\(7) \times (3 ) =k\\\\k= 21\)

Hence, the value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.

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Answer:

D

Step-by-step explanation:

K=21

Answer: a. p = c/5 - 43        b. 17 people

Step-by-step explanation:

c= 5p + 215  

A)  a said solve for p so we will solve for p in the equation.

c= 5p + 215  First   Subtract 215 from both sides

-215     -215  

c - 215 = 5p Now divide both sides by 5.

p = c/5 - 43  

B)  If c is the total cost  of hosting a birthday party then we will input 300 into the equation for c and solve for p.

300 = 5p + 215    First subtract 215 from both sides

-215             -215

 85 = 5p      Divide both sides by 5

 p = 17  

This means  17 people can attend the meeting if Allies parents are willing to spend $300.

The number of people that can attend the party will be 17

Since the formula given is represented by c = 5p + 215, to solve for p, we've to use subject of the formula and this will be:

c = 5p + 215

c - 215 = 5p

p = (c - 215)/5

p = c/5 - 43

Based on the equation given, the number of people that can attend the party will be:

c = 5p + 215

300 = 5p + 215

Collect like terms

5p = 300 - 215

5p = 85

p = 85/5

p = 17

Therefore, 17 people can attend the party.

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Answer: 88

Step-by-step explanation: since its a circle u times the diameter of the cloth by 3.14 which is 87.92 so you round it to 88