Please help me and give me the answer

You will go down 7 and shifts left twice

y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:

First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 ≤ -5(0) - 10

0 ≤ -10

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 > 0 + 2

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).

The shaded region is shown below:

Graph of y≤−5x−10 and y>x+2

The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

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The translation is done to the right 5 units and up two units.

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Given that vertices of ΔABC are A(2, 1), B(4, 4) and C(4, 1).

And vertices of ΔDEF are D(7, 3), E(9, 6) and F(9, 3).

Translation towards left or right changes the x coordinate and translation towards up or down changes the y coordinate.

Translation toward right and up results in positive translation and towards left and down results in negative translation.

A(2, 1) becomes D(7, 3) when D(2 + 5, 1 + 2).

Similarly,

B(4, 4) becomes E(9, 6) when E(4 + 5, 4 + 2)

C(4, 1) becomes F(9, 3) when F(4 + 5, 1 + 2)

So the translation is 5 units right and 2 units up.

Hence the translation is 5 units right and 2 units up.

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Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

The least positive integer n for which \($\triangle A_nB_nC_n$\) is obtuse is 15.

Since the angles of\($\triangle A_0B_0C_0$\)  are \($59.999^\circ$, $60^\circ\)  and \($60.001^\circ$\), the triangle is very close to being equilateral. Therefore, each time an altitude is drawn from one of the vertices, the triangle will become more acute, and it will take many iterations before an obtuse triangle is formed. The least positive integer n for which \($\triangle A_nB_nC_n$\)  is obtuse is 15. To confirm this, we can use the Law of Cosines. For \($\triangle A_15B_15C_15$\) , we have \($A_{15}B_{15} = 90 - 60.001 = 29.999$ and $B_{15}C_{15} = 90 - 59.999 = 30.001$\). Therefore,  \($A_{15}C_{15}^2 = 29.999^2 + 30.001^2 - 2(29.999)(30.001)\cos \angle A_{15}B_{15}C_{15} = 899.998^2$\) . Since \($A_{15}C_{15}^2 > 899.997^2$, $\angle A_{15}B_{15}C_{15}$\) is obtuse, and therefore the answer is (E) 15.

The least positive integer n for which \($\triangle A_nB_nC_n$\) is obtuse is 15.

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The lenght of the side b is 5 units

According to the given information the triangle is an right angled triangle with sides a,b, c where a and b are the two legs of the triangle and c is the hypotenuse the measurments of the side a and c are given 12 and 13 respectively . For finding the value of  b we need to use pythagoras theorem that is (Hypotenuse)² = (base)² + (height)²

Here we are going to use the same theorem for finding the value of the side b

According to the question:

hypotenuse = c = 13 units

height = a = 12 units

base = b = ?

As per  the theorem : hypotenuse ² = base ² + height²

∴ (13)² = b² + (12)²

=> 169 = b² + 144

=> b² = 169 - 144

=> b² = 25

=>b = √√25 = ±5

b = 5 [∵ lenght cannot be negative ]

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Answer:

1 2/5 > -8 11/20

Step-by-step explanation:

negative numbers are always smaller than positive

Answer:

>

Step-by-step explanation:

its negative

Hello!

\(slope = 2\\\\y-intercept = (0, 3)\\\\Equation: y = 2x + 3\)

We can find the slope using the slope formula:

\(slope = \frac{y_{2} - y_{1}}{x_{2}-x_{1}}\)

Plug in any two points from the table. We can use (0, 3) and (1, 5):

\(slope = \frac{5 - 3}{1-0}\)

\(slope = 2\)

Now, we can find the y-intercept by finding the y-value at which x = 0.

According to the table, when x = 0, y = 3. Thus, the y-intercept is:

\((0, 3)\)

We can write an equation using the slope and y-intercept in the format

y = mx + b where "m" is the slope and "b" is the y-intercept.

Plug in the solved values into the equation:

y = 2x + 3.

**Graphed below**

Answer:

B

Step-by-step explanation:

pi / 2 is equal to 180°/2 which is 90°.

Cos (90°) = 0

if cos90 = 0 then what kind of graph will we have at 90° to the x axis ?

a graph passing through the origin. (0,0)

Answer:

the equation 10 = x - y

Step-by-step explanation:

Let x represent the initial value of the investment, and let y represent the amount of money that each person receives after the investment is withdrawn.

We know that the cost of withdrawing the investment is $10, so we can write the equation 10 = x - y. We also know that each person receives $40, so we can write the equation y = 40.

We can now solve for x by substituting the value of y into the first equation. Since y = 40, we can substitute 40 for y in the equation 10 = x - y to get 10 = x - 40. Solving this equation for x, we find that x = 50.

Therefore, the initial value of the investment was $50.

Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

As a result, it is discovered that the answer to the given function problem is slant sample points of y = x -4.

Mathematical studies cover the areas and prospective applications of geometry as well as numbers and their variants, equations, and related structures. A group of inputs that collectively produce a similar result is referred to as a "function." Each input contributes to a single, distinguishable consequence in an output-input connection known as a function. Each activity has a scope, which is also known as a region or city or municipality. Commonly, functions are denoted by the letter f. (x). The origin is X. Across operations, one-to-one action, many-to-one activity, on activity, and on

Here,

Every one of the three asymptotes can be used to construct a rational function because rational functions can take any form.

This is depicted in both the linked graph and the graph of the function f(x that serves as a representation. The function's asymptotes are as follows.

The asymptotes for the vertical slope are x = -4,

The horizontal asymptotes are Y = 0 and.

Slant has an asymptote of Y = x -4.

An exponential function is used in our example function. That isn't generally perceived of as a polynomial, but it may be expressed as an endless degree polynomial. A rational function is typically described in publications as the percentage of polynomials.

As a consequence, the solution to the given function problem is slant sampling points, which are y.

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Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters. Therefore, none of the options A, B, C, or D provided is the correct answer.

To calculate the volume of the liquid in the cylindrical steel pipe, we need to find the difference in volume between the solid cylinder (hollow part) and the hollow cylinder.

Given:

Length of the cylindrical steel pipe (hollow part) = 21 cm

Radius of the solid cylinder = 0.4 cm

Radius of the hollow cylinder = 0.1 cm

First, let's calculate the volume of the solid cylinder (hollow part):

V1 = π × \(r1^2\) × h

V1 = π × \((0.4 cm)^2\) × 21 cm

Next, let's calculate the volume of the hollow cylinder:

V2 = π × \(r2^2\) × h

V2 = π × \((0.1 cm)^2\) × 21 cm

Now, we can find the volume of the liquid in the pipe by subtracting V2 from V1:

Volume of liquid = V1 - V2

Let's calculate these values:

V1 = π ×\((0.4 cm)^2\) × 21 cm ≈ 10.572 cm³

V2 = π × \((0.1 cm)^2\) × 21 cm ≈ 0.693 cm³

Volume of liquid = V1 - V2 ≈ 10.572 cm³ - 0.693 cm³ ≈ 9.879 cm³

To convert the volume from cubic centimeters (cm³) to liters (L), we divide by 1000:

Volume of liquid in liters ≈ 9.879 cm³ / 1000 ≈ 0.009879 L

Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters.

Therefore, none of the options A, B, C, or D provided is the correct answer.

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The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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Answer:

K could be 7 or 8

Step-by-step explanation:

If K was to be 7, the equation would be x^2 + 7x + 12 = (x+3)(x+4)

If K was to be 8, the equation would be x^2 + 8x + 12 = (x + 2)(x + 6)

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer:

11.3 cm

Step-by-step explanation:

(see attached for reference)

using the Pythagorean theorem

hypotenuse ² = length ² + length ²

16² = L² + L²

16² = 2L²   (express 2 = (√2)²

16² = (√2)²L²  

16² = (√2L)²  

16 = √2L

L = 16 /√2

L = 11.3 cm

11.3

use Pythagoras theorem give each side is "a"

a^2+a^2=16^2

2*a^2=256

a^2=256/2=128

a=sqrt(128)=11.3 sqrt=square root

Answer:

4x

Step-by-step explanation:

In algebra, to avoid confusing the multiply sign and x, we always just put the terms next to each other to show that they multiply each other. Here, since x is unknown, we can't find a specific answer and therefore just write it as 4x, which means 4 times x.

Answer:

-6

Step-by-step explanation:

Answer:

-6/1 or just -6

Step-by-step explanation:

15/4 ÷ (-5/8) is -6/1 .

Find the reciprocal of the divisor

Reciprocal of (-5/8) : (-8/5)

Now, multiply it with the dividend

So, 15/4 ÷ (-5/8) = 15/4 × (-8/5)

= 15 × (-8)  = -120

   4 × (-5)   =  -20

After reducing the fraction, the answer is -6/1 or just -6.

Answer: 18.15 miles

Step-by-step explanation:

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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the answer is 2x+3

its is the only equation that has the results of the table

x=1

f(1)=2(1)+3=5

x=3

f(2)=2(3)+3=9

x=9

f(9)=2(9)+3=21

Given statement solution is :- The actual length of the part is 3751/64 inches.

To find the length of the actual part, you can use the scale factor and the length of the part on the drawing. The formula for finding the actual length is:

Actual Length = Length on Drawing × Scale Factor

In this case, the length on the drawing is given as 3 7/8 inches, and the scale factor is given as 15 ¹/8. Let's calculate the actual length:

Length on Drawing = 3 7/8 inches = (3 × 8 + 7) / 8 = 31/8 inches

Scale Factor = 15 ¹/8

Now we can substitute the values into the formula:

Actual Length = (31/8 inches) × (15 ¹/8)

To perform the multiplication, we can convert the mixed fraction into an improper fraction:

15 ¹/8 = (15 × 8 + 1) / 8 = 121/8

Now we can multiply the fractions:

Actual Length = (31/8) × (121/8)

To multiply fractions, we multiply the numerators together and the denominators together:

Actual Length = (31 × 121) / (8 × 8)

Actual Length = 3751 / 64

Therefore, the actual length of the part is 3751/64 inches.

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Answer: (1/6)^2

Step-by-step explanation:

Answer:

The third answer is correct

Step-by-step explanation:

Use the properties of degrees:

1)

\( {( \frac{1}{108} })^{3} = \frac{ {1}^{3} }{ {108}^{3} } = \frac{1}{6561} \)

\( \frac{1}{6561} ≠ \frac{1}{36} \)

.

2)

\( ({ \frac{1}{9} })^{3} = \frac{ {1}^{3} }{ {9}^{3} } = \frac{1}{729} \)

\( \frac{1}{729} ≠ \frac{1}{36} \)

.

3)

\( ({ \frac{1}{6} })^{2} = \frac{ {1}^{2} }{ {6}^{2} } = \frac{1}{36} \)

\( \frac{1}{36} = \frac{1}{36} \)

The fully simplified equivalent of the given expression as required in the task content is; 18x²y³.

It follows from the task content that the fully simplified equivalent of the given expression be determined.

Since the given expression is;

3x³y⁶ / 6xy³

It follows from the product of powers rule of indices that we have;

3 • 6 • x^( 3 -1 ) • y^( 6 -3 )

= 18x²y³

Therefore, the required fully simplified equivalent of the expression using only positive exponents is; 18x²y³.

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Look at the attachment

\(\\ \rm\Rrightarrow tan(4\pi/3)\)

\(\\ \rm\Rrightarrow tan(4(180)/3)\)

\(\\ \rm\Rrightarrow tan(60(4))\)

\(\\ \rm\Rrightarrow tan240\)

\(\\ \rm\Rrightarrow \sqrt{3}\)

Answer:

Step-by-step explanation:

tan(4pi/3) = opposite side / adjacent side

On a unity cycle, at the point (-1/2, -sqrt(3)/2), opposite side is -sqrt(3)/2 and adjacent side is 1/2.

So tan(4π/3) = (-sqrt(3)/2) / -(1/2)

= √3