Which graph shows a system of equations with no solutions?

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

After calculating the equation, Charles rode 8.7 miles on Tuesday and 10.3 miles on Thursday.

Based on the given information, Charles rode his bike 19 miles each week while training. We need to find the number of miles he rode on Tuesday and Thursday.

Let's start by setting up an equation to represent the information given in the problem.

Let's say the number of miles Charles rode on Tuesday is x. According to the problem, Charles rode 1.6 miles more on Thursday than on Tuesday. So, the number of miles Charles rode on Thursday is x + 1.6.

The problem states that Charles rode a total of 19 miles each week. Therefore, we can write the equation:

x + (x + 1.6) = 19

Now, let's solve this equation to find the values of x and x + 1.6.

Combining like terms:

2x + 1.6 = 19

Subtracting 1.6 from both sides:

2x = 17.4

Dividing both sides by 2:

x = 8.7

So, Charles rode approximately 8.7 miles on Tuesday.

To find the number of miles Charles rode on Thursday, we substitute x = 8.7 into the equation:

x + 1.6 = 8.7 + 1.6 = 10.3

Therefore, Charles rode approximately 10.3 miles on Thursday.

In conclusion, Charles rode approximately 8.7 miles on Tuesday and 10.3 miles on Thursday.

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Answer:

ANSWERS

1st Question: 8/15

2nd Question: 3

3rd Question: -2 1/7

4th Question: -10

Used a Calculator :3 hope it helps

Answer:

8*(3x-4y)

Step-by-step explanation:

Just did the test

Hi there!

This is the way to solve this one-step  equation:

5x=50

We divide both sides by 5 to isolate x:

x=10

Therefore, x=10. Hope it helps.

~GracefulGirlie

Good luck on your assignment.

The region R in the first quadrant bounded by the graph of y = Vx - 1, the x-axis, and the vertical line x = 10.The region is revolved about the y-axis to generate a solid. The required integral that gives the volume of the solid generated is obtained using the method of cylindrical shells.

If y = Vx - 1, then x = (y + 1)².The region R is bounded by the curve y = Vx - 1, the x-axis and the line x = 10, i.e., 0 ≤ x ≤ 10.The curve y = Vx - 1 is revolved about the y-axis to generate a solid.

Let R be any vertical strip of the region R of width dy, located at a distance y from the y-axis.A cylindrical shell with height y and thickness dy can be generated by revolving the vertical strip R about the y-axis.The volume of the cylindrical shell is given by:

dV = 2πy * h * dy

where h is the distance from the y-axis to the strip R.Since the strip R is obtained by revolving the region R about the y-axis, the distance from the y-axis to the strip R is given by:x = (y + 1)²∴ h = (y + 1)²The volume of the solid generated by revolving the region R about the y-axis is obtained by adding the volumes of all cylindrical shells:dV = 2πy * h * dyV = ∫₀ᵗ (2πy * h) dy'

where t is the height of the solid.The value of t is obtained by substituting x = 10 in the equation of the curve:y = Vx - 1 = V(10) - 1 = 3Since the region R is bounded by the curve y = Vx - 1, the x-axis and the line x = 10, the height of the solid is 3.So, t = 3.

The required integral that gives the volume of the solid generated by revolving the region R about the y-axis is:

V = ∫₀³ (2πy * (y + 1)²) dy= ∫₀³ (2πy³ + 4πy² + 2πy) dy= 2π [y⁴/4 + 4y³/3 + y²] from 0 to 3= (π/6) [54 + 108 + 9]= 37π cubic units.

Therefore, the integral that gives the volume of the solid generated by revolving the region R about the y-axis is 37π.

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The area of parallelogram is 28 square unit.

The correct option is (b)

A parallelogram is a geometric object with sides that are parallel to one another in two dimensions. It is a form of polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length.

The Area of Parallelogram is the product of the base and the perpendicular height (Altitude).

So, Area of Parallelogram = Base x Height

Given:

Base= 7 unit

Height= 4 unit

So, the Area of Parallelogram

= Base x Height

= 7 x 4

= 28 square unit.

Hence, the area is 28 square unit.

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Answer:

C. No because two points with the same x-value have different y-values.

Step-by-step explanation:

(view my screenshot attachment too please)

A function can't have same x-values that appear for multiple different y-values.

In the diagram, (10, 6) and (10, 9) indicate that it isn't a function.

This is because the same 10 appears twice (x-value) but with multiple different y-values (6 and 9).

Answer:

2 other students

Step-by-step explanation:

Answer:

Width=27inches

Step-by-step explanation:

Width=w

Length=28 inches

Perimeter=110 inches

Perimeter of a rectangle=2(length+width)

110=2(28+w)

110=56+2

110-56=2w

54=2w

Divide both sides by 2

54/2=2w/2

27=w

Therefore,

Width=27inches

The value of g(5) is 20.899 when the function with first derivative is  g′(x)=√(x³ + x), option D is correct.

A differential equation is an equation that involves one or more functions and their derivatives.

To find the value of g(5), we need to integrate the given first derivative g′(x) and then evaluate the function g(x) at x = 5.

Let's find the antiderivative (integral) of g′(x):

∫√(x³ + x) dx

To evaluate this integral, we can use the substitution method.

Let u = x³ + x.

Differentiating both sides with respect to x, we get:

du/dx = 3x² + 1

dx = du / (3x² + 1)

Substituting these values, we have:

g(x) = ∫√u × (du / (3x² + 1))

Now, we can evaluate the integral in terms of u:

g(x) = ∫√u / (3x² + 1) du

To simplify this integral, let's express it in terms of u:

g(x) = ∫√u / (3x² + 1) du

To find g(x), we need to evaluate this integral.

Performing the integral, we have:

\(g(x) = (2/9) (3x^2 + 1)^(^3^/^2^) + C\)

Now, we can apply the initial condition g(2) = -7:

\(-7 = (2/9) (3(2^2) + 1)^(^3^/^2^) + C\)

\(-7 = (2/9)(13)^(^3^/^2^) + C\)

Solving for C:

\(C = -7 - (2/9) (13)^(^3^/^2^)\)

Now, we have the expression for g(x):

\(g(x) = (2/9)(3x^2 + 1)^(^3^/^2^) - (2/9)(13)^(^3^/^2^) - 7\)

To find g(5), we substitute x = 5 into this expression:

\(g(5) = (2/9) (3(5^2) + 1)^(^3^/^2^) - (2/9)(13)^(^3^/^2^) - 7\)

Calculating this expression, we find:

g(5) = 20.899

Hence, the value of g(5) is 20.899.

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Answer:

-0.8x + 4.8y + 16

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4) = 4( 0.5x - 0.7x  + 2.5y - 1.3y + 4)

= 4( -0.2x  + 1.2y + 4)

= 4*(-0.2x)  + 4 *1.2y + 4*4

= -0.8x + 4.8y + 16

Answer:

-0.8x + 4.8y + 16

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

A. The data appears to be reported. The heights occur with roughly the same frequency.

A histogram is a graphical representation of a frequency distribution, where the x-axis represents the values of the data, and the y-axis represents the frequency of those values. If the heights are reported, the last digit of the heights should be randomly distributed and the frequency of each digit should be roughly the same, which is the case in a histogram with uniform distribution. This is in contrast to a histogram with non-uniform distribution, where certain heights occur a disproportionate number of times, which is more likely to happen when the heights are measured. Therefore, based on the information provided, it can be concluded that the data appears to be reported.

Answer:

Step-by-step explanation

Two angles of a triangle are in the ratio of 2:3 if the third angle is 50 degree find the other two angles

the sum of the interior angles in a triangle is 180°

so

180 - 50 = 130°

130 : 5 = 26° (unit)

26 * 2 = 52°

26 * 3 = 78°

--------------

check

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The answer is good

Answer:

a) The acceleration in the first 20 seconds is 0.35 m/s²

b) The distance between the two stops is 945 m

c) The average velocity of the bus during the journey is approximately 5.9 m/s

Step-by-step explanation:

a) From the graph, we have;

The velocity of the bus at time t₁ = 0 s, v₀ = 0 m/s

The velocity of the bus at time t₂ = 20 s, v₂₀ = 7 m/s

The uniform acceleration, 'a', is given by the following equation;

a = dv/dt

Therefore, the acceleration in the first 20 seconds is given as follows;

a = (v₂₀ - v₀)/(t₂ - t₁) = (7 m/s - 0 m/s)/(20 s - 0 s) = 0.35 m/s²

The acceleration in the first 20 seconds, a = 0.35 m/s²

b) The two stops are at the start of the graph (0,0) and the point (160, 0), which is the distance traveled during the journey

Therefore, a way to find the distance between the two stops is by finding the area under the velocity time graph

Here the area consists of 2 triangles and one rectangle

The area of the triangle on the left, A₁ = 1/2 × 20 s × 7 m/s = 70 m

The area of the middle rectangle, A₂ =(130 s - 20 s) × 7 m/s = 770 m

The area of the triangle on the right, A₃ = 1/2 × (160 s - 130 s) × 7 m/s = 105 m

The area under the velocity time graph, A = A₁ + A₂ + A₃ = 70 m + 770 m + 105 m = 945 m

The distance between the two stops = The area under the velocity time graph = 945 m

c) The average velocity  of the bus during the journey, \(v_{avg}\) = (The distance between the two stops)/(The time taken to cover the distance)

∴ \(v_{avg}\) = (945 m)/(160 s) = 5.90625 m/s

The average velocity, \(v_{avg}\) ≈ 5.9 m/s (rounded to 1 decimal place (d. p.)

Answer:

a=0.35

d=945

s=5.9

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

Answer: The answer is \(\frac{7-5}{4-3}\) = \(\frac{2}{1}\)=2

The formula to solve down here:

           (x1,y1)  

              (x2,y2)

Step-by-step explanation:

The solution to the equation 1/x =x+3/2x^2 is x = 0 and 3. Option C

In solving for the values of 'x' we need to:

Given the expression;

1/x =x+3/2x^2

Cross multiply

x ( x+ 3) = 2x² ( 1)

Expand the bracket

x² + 3x = 2x²

collect like terms and equate all the variables to zero, we have ;

2x² - x² - 3x = 0

We then subtract the like terms, we getv

x²- 3x = 0

Now, let's find the common factor

Factor out 'x':

x ( x - 3 ) = 0

Equate each of the factors to zero and find the value of 'x' for each

So,

x = 0

And

x - 3 = 0

x = 3

Thus, the solution to the equation 1/x =x+3/2x^2 is x = 0 and 3. Option C

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Table 2 is a many-one function and table 4 is also a many-one function.

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

We know a relation is not a function if two distinct ordered pairs have the same first coordinate.

The first table is not function as preimage 3 has two images namely

0 and 2.

The second table is a function and it is a many-one function.

A many one functions is a function in which the same preimages have different images.

The third table is also not a function as preimage 3 has two distinct images.

The fourth table is also a many-one function.

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The statement"The linearity assumption in ANOVA is assessed by examining scatter plots of the residuals against the predicted values" is False.

A QQ plot is used to check the normality assumption, which is a different assumption in ANOVA. The normality assumption states that the residuals should be approximately normally distributed with a mean of 0 and a constant variance. A QQ plot is a graphical method for comparing two probability distributions by plotting their quantiles against each other. In the case of ANOVA, it can be used to determine if the residuals are approximately normally distributed. If the residuals are not normally distributed, the assumptions of ANOVA are violated and the results may be unreliable.

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The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

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Therefore, Assuming that approximately 20% of the lake's trout population was marked, we can estimate that the lake contains approximately 250 trout.

To find the probability L(N) that 16 trout are marked in a sample of 80, we need to use the hypergeometric distribution formula. The formula is P(X=k) = [C(M,k) * C(N-M,n-k)] / C(N,n), where M is the total number of trout in the lake, N is the number of trout in the sample (80), k is the number of marked trout in the sample (16), and n is the sample size (50). Plugging in the values, we get P(X=16) = [C(M,16) * C(M-50,34)] / C(M,80). We don't know the exact value of N, but we can estimate it using the fact that 16 out of 80 trout were marked, which means that approximately 20% of the lake's trout population was marked. Therefore, we can estimate that the lake contains approximately 250 trout (i.e., 50 / 0.2). Writing the main answer in 2 lines: The probability L(N) that 16 trout are marked in a sample of 80 can be estimated using the hypergeometric distribution formula.

Therefore, Assuming that approximately 20% of the lake's trout population was marked, we can estimate that the lake contains approximately 250 trout.

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Answer: I don't think you would move it

Step-by-step explanation: let me know if I'm wrong

Answer:

156.8

Step-by-step explanation:

1.6 * 98

Answer:

9/14

Step-by-step explanation:

add them

When x = 0, y = 2(0) - 2 = -2. So one point is (0, -2). When x = 1, y = 2(1) - 2 = 0. So another point is (1, 0).

To graph the equations 2x - y - 2 = 0, 4x - 3y - 24 = 0, and y + 4 = 0, we need to plot the points that satisfy each equation and connect them to form the lines.

1. Equation: 2x - y - 2 = 0

To plot this equation, we can rewrite it in slope-intercept form:

y = 2x - 2

Now we can choose some x-values and calculate the corresponding y-values to plot the points:

When x = 0, y = 2(0) - 2 = -2. So one point is (0, -2).

When x = 1, y = 2(1) - 2 = 0. So another point is (1, 0).

Plot these points on the graph and draw a line passing through them:

```

    |

    |

0   |     ● (1, 0)

    |

    |     ● (0, -2)

-2 __|_____________

    -2    0    2

```

2. Equation: 4x - 3y - 24 = 0

Again, let's rewrite this equation in slope-intercept form:

y = (4/3)x - 8

Using the same process, we can find points to plot:

When x = 0, y = (4/3)(0) - 8 = -8. So one point is (0, -8).

When x = 3, y = (4/3)(3) - 8 = 0. So another point is (3, 0).

Plot these points and draw the line:

```

    |

    |

0   |             ● (3, 0)

    |

    |                   ● (0, -8)

-8 __|______________________

    -2     0    2    4

```

3. Equation: y + 4 = 0

This equation represents a horizontal line parallel to the x-axis, passing through the point (0, -4).

Plot this point and draw the line:

```

    |

    |

-4   |       ● (0, -4)

    |

    |

    |______________________

    -2     0    2    4

``

So, the graph of the three equations would look like this:

```

    |

    |

0   |             ● (3, 0)                      ● (1, 0)

    |                   |                               |

    |                   |                               |

-4 __|___________________|_______________________________

    -2     0    2    4

```

Note that the lines representing the equations 2x - y - 2 = 0 and 4x - 3y - 24 = 0 intersect at the point (1, 0), which is the solution to the system of equations formed by these two lines. The line y + 4 = 0 represents a horizontal line parallel to the x-axis, located 4 units below the x-axis.

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Answer:

1. List the prime factors of each number.

2. Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.

3. Multiply all the circled numbers. The result is the GCF.

Step-by-step explanation:

Answer:

your mom + your mom = big mama there you go your welcome

Step-by-step explanation:

your mom + your mom = big  mama there you go your welcome