Please hurry
5/6x-1/3>1 1/3?​

Answer:

x= 12.714°

Step-by-step explanation:

<AEB + <CED = 90°

4x+1+3x = 90°

7x+1= 90°

7x=89

x= 12.714°

Answer:

True

Step-by-step explanation:

A perpendicular bisector may be defined as the line segment that intersects some other given line perpendicularly and it also divides it into two congruent or equal parts. Now, two lines are said to be cut at right angles or perpendicular to each other if they intersect in a way that they form ninety degrees to each other.

Constructing a line bisector.

1. Take any line segment of any length.

2. Take your compass and adjust its length to more than the half of the length of the line segment.

3. Placing the compass pointer on one edge at a time cut arcs above and below the line segment.

4. Now mark the points where both opposite arcs meet and join the point to cut the given line segment in two equal parts.

Thus the bisector will divide the line into two equal line segments and it will be at right angles to the given line segment.

Thus it is true that constructing a line bisector is also constructing a perpendicular bisector of the line segment.

The implicit solution to the given differential equation Dx/dt = 4x² + (9t/√(6²+x²)) / (4tx) using the method for solving homogeneous equations is F(t,x) = C, where C is an arbitrary constant.

To solve the given differential equation, we can separate the variables and integrate both sides. Rearranging the equation, we have:

(4tx) Dx = (4x² + (9t/√(6²+x²))) dt. Next, we integrate both sides. Integrating the left side with respect to x and the right side with respect to t, we get:

∫(4tx) Dx = ∫(4x² + (9t/√(6²+x²))) dt. Integrating both sides will result in a function F(t,x) on the left side and the integral on the right side. Since we are looking for an implicit solution in the form F(t,x) = C, we can write the equation as:

F(t,x) = C. cccThis represents the general solution to the given differential equation, where C is an arbitrary constant. The specific form of the function F(t,x) will depend on the integration process and the initial conditions, if provided.

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The solutions in part (a) are (π/4, 1.414) and (5π/4, -1.414))

The trigonometric inequality expression is given as:

sec(x) ≥ csc (x)

The domain of the trigonometric inequality expression is given as:

0 ≤ x ≤ 2π

Next, we express the trigonometric inequality expression as an equation.

So, we have:

sec(x) = csc (x)

Next, we split the trigonometric inequality as follows:

y = sec(x)

y = csc (x)

Convert to inequalities

y ≥ sec(x)

y ≥ csc (x)

Next, we plot the graphs of the inequalities.

See attachment for the graphs of the inequalities.

From the attached graph, the graphs of the inequalities y ≥ sec(x) and y ≥ csc (x) intersect at points (π/4, 1.414) and (5π/4, -1.414))

Hence, the solutions in part (a) are (π/4, 1.414) and (5π/4, -1.414))

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When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13  degrees

The distance between point a to point b = 5.3 feet

The length of the top side = 3 feet

Therefore, it will form a right triangle

Here we have to use trigonometric function

Here adjacent side and the hypotenuse of the triangle is given

The trigonometric function that suitable for the given conditions is

cos θ = Adjacent side / Hypotenuse

Substitute the values in the equation

cos θ = 3 / 5

θ = cos^-1(3 / 5)

θ = cos^-1(0.6)

θ = 53.13 degrees

Therefore, the value of θ is 53.13  degrees

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Answer:

The coefficient of x is 22.

Answer:

Start by plotting the y-intercept which is (0, b).

Find another point using the slope (m) with the y-intercept at the reference point.

Connect the two points with a ruler.

Step-by-step explanation:

Answer:

The answer to your problem is, 60

Step-by-step explanation:

As shown, a rhombus inside a regular hexagon. The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°

So, the measure of one angle of the regular hexagon = 720/6 = 120°

The rhombus have 2 obtuse angles and 2 acute angles.

So, the measure of each acute angle of the rhombus = 180 - 120 = 60°

So, the measure of each acute angle of the rhombus + the measure of angle x

= the measure of one angle of the regular hexagon.

Equation 60 + x = 120x = 120 - 60 = 60°

Thus the answer to your problem is, 60

Answer: could possibly be the fifth one and could also be the third

Step-by-step explanation: I’m not positive though

Answer:

(x - 5)² + (y - 3)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (5, 3 ) and r = 3 , then

(x - 5)² + (y - 3)² = 3² , that is

(x - 5)² + (y - 3)² = 9 ← equation of circle

Answer:

third one

Step-by-step explanation:

can you help me with my question In the extended simile of the underlined passage from Paragraph 15 of "A Wagner Matinee," the narrator makes an observation about the soul that aring rokol been A. it is like a strange moss on a dusty shelf that, with excruciating suffering, can wither and die y for I the be B though after excruciating suffering it may seem to wither, the soul never dies, C. excruciating, interminable suffering that goes on for half a century can kill the soul.

Answer:

108

Step-by-step explanation:

Interior angles in a pentagon add up to 540 degrees. So we first need to find the total sum of all the known angles. We do this by calculating 104+108+112=324.

Now we need to find the total sum of the unknown angles, and we do this buy calculating 540-324=216.

The final step is to find the size of one of the 2 remaining angles, and since we know they are equal, we just have to divide by 2. So, 216/2=108. This is our final answer.

Answer:

30p + 5

You do destibutive property

(6p+1)(5)

6p * 5

1 * 5

=30p+5

The estimated standard error for a sample of n = 9 scores with ss = 288 is 2. Among your choices, it should be B; s2 = 36 and sM  = 2.

Hope that helps!

Answer:

10 donuts and 10 brownies

Step-by-step explanation:

In this case we must solve the system of equations that do not say in the statement:

at least 20 must be, therefore:

x + y = 20 => x = 20 - y

1.5 * x + 2.5 * y = 40

replacing:

1.5 * (20 - y) + 2.5 * y = 40

30 - 1.5 * y + 2.5 * y = 40

y = 40 - 30

y = 10

now for x:

x = 20 - 10

x = 10

therefore, to be a minimum of 20, they must be 10 donuts and 10 brownies

The formula that can be used to find the area (a) of a parallelogram is: a = base × height.

Which formula can be used to find the area (a) of a parallelogram with a base length of 14 centimeters and a height represented by 'h' centimeters?

The answer states that the formula to find the area of a parallelogram is "a = base × height" based on the given information of a base length of 14 centimeters and a height represented by 'h' centimeters.

This formula is derived from the geometric properties of a parallelogram, where the area is equal to the product of the base length and the corresponding height.

By substituting the given values into the formula, we can calculate the area of the parallelogram in square centimeters.

The formula assumes that the height is perpendicular to the base and that the given values accurately represent the dimensions of the parallelogram.

It's important to note that without a specific value for 'h', the exact area cannot be determined, but the formula provides a general method to calculate it.

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The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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Janelle can buy either 1 or 2 snacks.

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign. Here are the steps for solving inequalities:

Step - 1: Write the inequality as an equation.

Step - 2: Solve the equation for one or more values.

Step - 3: Represent all the values on the number line.

Step - 4: Also, represent all excluded values on the number line using open circles.

Step - 5: Identify the intervals.

Step - 6: Take a random number from each interval, substitute it in the inequality and check whether the inequality is satisfied.

Step - 7: Intervals that are satisfied are the solutions.

Given inequality: 20 ≥ 8 +4.99x

We solve this inequality:

20 = 8 + 4.99x

12 = 4.99x

∴ x = 2.40

Number of snacks is between   0 < x < 2.40.

Also, the snacks purchased should be integer form.

∴ The value of x is 1 and 2.        

Thus, Janelle can buy either 1 or 2 snacks.

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The polygon with the given vertices after the dilation is graphed on the image given at the end of the answer.

A dilation is one type of transformation that is applied to the images, changing the side lengths of the image.

Hence, the image loses the congruence, as for each vertex, the coordinates are multiplied by the scale factor k.

In this problem, the vertices of the original polygon are given as follows:

T(9, -3), U(6,0), V(3,9), W(0,0).

The scale factor of the dilation is given as follows:

k = 2/3.

Hence each coordinate of the original polygon is multiplied by 2/3, and the coordinates of the image of the polygon are given as follows:

T'(6, -2), U'(4,0), V'(2,6), W'(0,0).

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Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

To find the general solution for the given ordinary differential equation (ODE):

xdy - [y + xy^(2)(1 + ln(x))]dx = 0

We can rearrange the terms and separate the variables:

xdy = [y + xy^(2)(1 + ln(x))]dx

Dividing both sides by x and rearranging the terms:

dy/y + y(ln(x) + 1)dx = dx

Now, let's integrate both sides:

∫(dy/y) + ∫[y(ln(x) + 1)]dx = ∫dx

Integrating the left-hand side with respect to y and the right-hand side with respect to x:

ln|y| + y(ln(x) + 1) = x + C

where C is the constant of integration.

We can simplify the equation further:

ln|y| + yln(x) + y = x + C

Combining the logarithmic terms:

ln|y| + yln(x) = x + C - y

To eliminate the logarithm, we can take the exponential of both sides:

e^(ln|y| + yln(x)) = e^(x + C - y)

Using the properties of exponents:

|y| * x^y = e^(x + C - y)

We can rewrite the absolute value expression as a piecewise function:

y * x^y = e^(x + C - y) if y > 0 -y * x^(-y) = e^(x + C - y) if y < 0

So, the general solution to the given ODE is the combination of these two equations:

y * x^y = e^(x + C - y) if y > 0 -y * x^(-y) = e^(x + C - y) if y < 0

These equations represent the family of solutions to the given ordinary differential equation (ODE).

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This expression cannot be simplified, as you cannot add or subtract variables raised to different exponents.

Answer:

Step-by-step explanation:

6z⁶ - 21z⁴ - 12z² = 2*3*z⁶ - 3*7*z⁴ - 4*3*z²

                           = 3z² (2z⁴ - 7z² - 4)

The amount of money in the savings account depends on how much time has passed since the account was opened. Then, the amount of money is the depenent variable, and the amount of time is the independent variable.

Then, money is a function of time.

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▹ Answer

(x, y) = (14/5, 87/20)

▹ Step-by-Step Explanation

8x - 4y = -4 - 3x + 4y = 5

8x - 4y = 5

-4 - 3x + 4y = 5

8x - 4y = 5

-3x + 4y = 9

5x = 14

x = 14/5

-3 * 14/5 + 4y = 9

y = 87/20

(x, y) = (14/5, 87/20)

Hope this helps!

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Brainliest is greatly appreciated!

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Answer:

11x−8y=−9

Step-by-step explanation:

khan

The axis of Symmetry and the vertex of the quadratic equation will be: x = 2 and

Given is a function f(x) = 2x²-8x+5, we need to find the axis of symmetry and the vertex of the function,

The standard form of a quadratic equation, which is represented by f(x) = ax² + bx + c, can be used to determine the axis of symmetry and the vertex of the function f(x) = 2x²-8x+5.

When compared to the function, we get a = 2, b = -8, and c = 5. The equation for a quadratic function's vertex and axis of symmetry in this form is:

Axis of Symmetry (x = h): x = -b / (2a)

Vertex (h, k): h = -b / (2a) and k = f(h)

Let's change the values of a and b in the formulas to determine the vertex and the axis of symmetry:

Axis of Symmetry (x = h):

x = -(-8) / (2 * 2)

x = 8 / 4

x = 2

Therefore, the axis of symmetry is x = 2.

Vertex (h, k):

h = -(-8) / (2 * 2)

h = 8 / 4

h = 2

Now, substitute h = 2 into the original function to find k:

f(2) = 2(2)² - 8(2) + 5

f(2) = 2(4) - 16 + 5

f(2) = 8 - 16 + 5

f(2) = -3

Therefore, the vertex is (2, -3).

Hence:

Axis of Symmetry: x = 2

Vertex: (2, -3)

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Multiply the probability of each by each other:

Probability of red = 1/4

Probability of blue = 1/4

Probability of green = 2/4 = 1/2

probability of red then blue then green = 1/4 x 1/4 x 1/2 = 1/32

answer: 1/32

Answer:

well this one is kind of obvious and you don't have to do any actual math with it. I'm 99% sure that when you have the two sets of coordinates you can find the slope. so the answer would be A. :)

Step-by-step explanation:

Answer:

B. 14/15

Step-by-step explanation:

I hope this helps.

Answer:

B: 14/15

Step-by-step explanation:

Here's why I say this:

The total is 120. 8 have a box meaning 112 do not have a box. The question is asking about those without a box, so 112 will be used. 112/120. Simply by dividing each the numerator and denominator, in this case by 8. The fraction left is 14/15