LMNO is a parallelogram, with and . Which statements are true about parallelogram LMNO?

Answer:

50.2 in^2

Step-by-step explanation:

Using the Formula

A=πr2

d=2r

Solving for A

A= 1/4 π d^2 = 1/4*π*8^2 = 50.26548

=50.2in^2

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Answer:

Ella ran 7.5 meters in 5 seconds

Step-by-step explanation:

d=1.5t

d=1.5(5)

d=7.5

Answer:

radius = 10 in

diameter = 20 in

circumference =>

formula : 2.π.r

C = 2×3.14×10= 62.8 sq. in

Answer:

radius = 10 in

diameter = 20 in

circumference =>

formula : 2.π.r

C = 2×3.14×10= 62.8 sq. in

Step-by-step explanation:

The line of symmetry in the given question is option (B) Line C.

To find the line of symmetry of a given object, you need to follow different approaches depending on the type of object.

1. For a line: If you have a line, it is its own line of symmetry. The line itself is the line of symmetry.

2. For a shape: If you have a shape, such as a polygon or a curve, you can find the line of symmetry by following these steps:

  a. Identify any pairs of corresponding points on the shape that are equidistant from the center or axis of symmetry.

  b. Draw a straight line connecting each pair of corresponding points.

  c. The line that divides the shape into two equal halves is the line of symmetry.

3. For an equation: If you have a mathematical equation, such as a quadratic function or a graph, you can find the line of symmetry using the formula x = -b/2a, where a, b, and c are coefficients of the equation. The line of symmetry is a vertical line that passes through the vertex of the equation.

4. For a three-dimensional object: If you have a three-dimensional object, finding the line of symmetry becomes more complex. In general, you would need to identify any planes or axes that divide the object into two equal halves.

Overall, finding the line of symmetry involves identifying the axis, point, or plane that divides the object into symmetrical halves.

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Answer:

1) 2           2) -5

Step-by-step explanation:

1.

It's positive 3 PLUS negative 1 which can be written as 3 - 1. That is 2.

2.

It's negative 3 PLUS negative 2 which can be written as -3 - 2. That is -5.

Answer:

1) 2

2) -5

Step-by-step explanation:

It's always a great idea to use a number line when you are solving problems like these. In the first problem we are starting at positive 3, so go to the number 3 on the number line. Then we are adding a negative 1, so we need to go back 1 on the number line. If we added a positive 1 we would need to go forward 1, but since this is a negative 1 we need to go backwards.

When you go back 1 from 3, you should get 2! Try this method for any other problem as well.

hate to be that person but what she said

Answer:

\(9^{12}\)

Step-by-step explanation:

Using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\) , then

\((9^3)^{4}\) = \(9^{3(4)}\) = \(9^{12}\)

Check the picture below.

Answer: B is the only solution to this question.

Step-by-step explanation:

- 53 > 7f

We divide both sides by 7.

==> - 53/7 > 7f/7

==> -7.57 > f

(-7.57 is rounded)

Now out of the options given, b is the correct one. This is because we are looking for a number that is smaller than  -7.57 ( -8 , -9, -10...)

The only number that is smaller than -7.57 is -10.

Hence B is correct.

Answer:

Medium box: 343 in^3

Large box: 636 in^3

Step-by-step explanation:

- Volume small box = 218 in^3

- Area face medium box = 49 in^2. (7x7=49)

Volume medium box = 7^3 = 343 in3

- Combine volume of the 3 boxes = 1,197 in^3

- Volume large box = 1,197 - 218 - 343 = 636 in^3

Answer:

C=2πr

C=2π(1.9) cm

C=11.94 cm

Step-by-step explanation:

radius of a circle (r)=1.9 cm

Circumference of a circle (C)=?

We know that,

C=2πr

C=2π(1.9) cm

C=11.94 cm

So, the circumference of the circle is 11.94 cm.

To find the volume of the solid generated by revolving the region bounded above by y =11 cos x and below by y=4 sec x, -π/4 ≤ x ≤ π/4 about the x-axis, we use the Disk method.

Here are the steps to follow in order to solve the problem:

Step 1: Sketch the region to be rotated. Notice that the region is bound above by `y = 11 cos x` and bound below by `y = 4 sec x`.

Step 2: Compute the interval of rotation. Notice that `-π/4 ≤ x ≤ π/4`.

Step 3: Draw an arbitrary vertical line in the region, then rotate that line around the x-axis.

Step 4: Compute the radius of the disk for a given `x`-value. This is equal to the distance from the axis of rotation to the edge of the solid, or in this case, the distance from the x-axis to the function that is farthest away from the axis of rotation.

The distance from the x-axis to `y = 11 cos x` is `11 cos x`, while the distance from the x-axis to `y = 4 sec x` is `4 sec x`. Since we are rotating around the x-axis, we use the formula `r = y`. Thus, the radius of the disk is `r = max(11 cos x, 4 sec x)`.

Step 5: Compute the volume of each disk. The volume of a disk is given by `V = πr²Δx`.

Step 6: Integrate to find the total volume of the solid. Thus, the volume of the solid is given by:

\($$\begin{aligned}V &= \int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} π(11\cos x)^2 - π(4\sec x)^2 dx \\ &= π\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} (121 \cos^2 x - 16 \sec^2 x) dx\\ &= π\int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} \frac{121}{2}\cos 2x - \frac{16}{\cos^2 x} dx\\ &= π\left[\frac{121}{4} \sin 2x + 16 \tan x\right]_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\\ &= π\left[\frac{121}{2} + 32\sqrt{2}\right]\end{aligned}$$\)

Thus, the volume of the solid generated by revolving the region bounded above by y =11 cos x and below by y=4 sec x, -π/4 ≤ x ≤ π/4 about the x-axis is `V = π(121/2 + 32√2)`.

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Given the region bounded above by y = 11cos x and below by y = 4sec x, -π/4 ≤ x ≤ π/4. Find the volume of the solid generated by revolving this region about the x-axis.

To find the volume of the solid generated by revolving the given region about the x-axis, we can use the formula:V = π∫ab(R(x))^2 dxwhere R(x) is the radius of the shell at x and a and b are the limits of integration.Here, the region is bounded above by y = 11cos x and below by y = 4sec x, -π/4 ≤ x ≤ π/4.At x = -π/4, the value of cos x is minimum and the value of sec x is maximum.

At x = π/4, the value of cos x is maximum and the value of sec x is minimum.Thus, we take a = -π/4 and b = π/4.Let us sketch the given region:We need to revolve the region about the x-axis. Hence, the radius of each shell is the distance from the x-axis to the curve at a given value of x.The equation of the curve above is y = 11cos x. Thus, the radius of the shell is given by:R(x) = 11cos x

The equation of the curve below is y = 4sec x. Thus, the radius of the shell is given by:R(x) = 4sec x

Using the formula: V = π∫ab(R(x))^2 dx The volume of the solid generated by revolving the region about the x-axis is given by:V = π∫(-π/4)^(π/4)(11cos x)^2 dx + π∫(-π/4)^(π/4)(4sec x)^2 dx= π∫(-π/4)^(π/4)121cos^2 x dx + π∫(-π/4)^(π/4)16sec^2 x dx= π∫(-π/4)^(π/4)121/2[1 + cos(2x)] dx + π∫(-π/4)^(π/4)16[1 + tan^2 x] dx= π[121/2(x + 1/4sin(2x))](-π/4)^(π/4) + π[16(x + tan x)](-π/4)^(π/4)= π[121/2(π/4 + 1/4sin(π/2))] + π[16(π/4 + tan(π/4/2))] - π[121/2(-π/4 + 1/4sin(-π/2))] - π[16(-π/4 + tan(-π/4/2))]= π(363/4 + 16π/3)The volume of the solid generated by revolving the region about the x-axis is π(363/4 + 16π/3) cubic units.

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A second linearly independent solution of y₂ is \(-\frac{1}{6x^3}\)

The general Equation is y" + P(x)y' + q(x)y = 0 ...............(i)

where P(x), Q(x) are continues in the internal I ≤ R.

If y₁(x) is a solution of equation 1 in I then y₁(x) ≠ 0.

Then y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\) is another solution.

The differential equation is x²y" + xy' – 9y = 0 where x > 0.

As y₁(x) = x³ is one solution of differential equation.

Divide throughout by (x²) to given differential equation.

1/x² (x²y" + xy' – 9y = 0)

y" + (y'/x) – (9/x²)y = 0 ................(ii)

By comparing equation (i) & (ii) we get:

p(x)=1/x , q(x)= –are continuous for x>0

So, another solution,

y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\)

Now putting the values of P(x) And Q(x)

y₂(x) = \(x^3\int\limits {\frac{e^{\int(1/x)dx} }{(x^3)^2}} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{\frac{1}{x} }{x^6} }} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{1}{x^7} }} \, dx\)

y₂(x) = \(x^3\int\limits {x^-7} } \, dx\)

y₂(x) = \(x^3\left[\frac{x^{-7+1}}{-7+1}\right]\)

y₂(x) = \(-\frac{1}{6}(x^3\times x^{-6})\)

y₂(x) = \(-\frac{1}{6x^3}\)

So, the answer of this question is \(-\frac{1}{6x^3}\).

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\(\longrightarrow{\green{D.\:(x²+5)(x-3)}}\) 

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\( {x}^{3} - 3 {x}^{2} + 5x - 15\)

Taking \(x²\) as common from first two terms and 5 from last two terms, we have

\(➝ \: {x}^{2} \: (x - 3) + 5 \: (x - 3)\)

Taking the factor \((x-3)\) as common,

\(➝ \: ( {x}^{2} + 5)(x - 3)\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}\)

The mean (µx) and standard deviation (σx) of a sample can be determined using the given parameters of the population mean (µ), population standard deviation (σ), and sample size (n).

In this case, since we are given the population mean (µ = 84), the mean of the sample (µx) will be the same as the population mean.

µx = 84 (same as the population mean)

σx = 18 / √36 = 3 (the population standard deviation divided by the square root of the sample size)

To determine the standard deviation of the sample (σx), we divide the population standard deviation (σ = 18) by the square root of the sample size (n = 36). This is based on the principle that the standard deviation of the sample is expected to be smaller than the standard deviation of the population, and it decreases as the sample size increases.

Therefore, in this scenario, the mean of the sample (µx) is 84, and the standard deviation of the sample (σx) is 3. These values represent the central tendency and variability of the sample data.

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Answer:

Not remain

Step-by-step explanation:

Yes, an angle in a right-angled triangle is always present.  Without any additional information about the triangle, it is impossible to determine the value of the angle in question.

In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.

To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.

For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.

If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.

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Hi there !

Lets first try to write given line in slope intercept form which is -

❄︎\(\green{ \underline { \boxed{ \sf{y=mx+c}}}}\)

Here-

Proceeding-

✰2x + 4y = 56

➪ 4y = -2x +56

➪ y =\(\dfrac{ -2x +56}{4}\)

➪ y =\(\dfrac{ -2x }{4}+ \dfrac{56}{4}\)

➪ y =\(\dfrac{ -x }{2}+ 14\)

➪ y =\(\dfrac{ -1}{2}x + 14\)

Comparing with slope intercept form -

❄︎\(\red{ \underline { \boxed{ \sf{m = - \frac{1}{2}}}}}\)

Now,

✪ Since the parallel lines have same inclination with positive x-axis , their slopes are equal.

❀ So, the slope of a line parallel to the line whose equation is 2x + 4y = 56 would be \(-\dfrac{1}{2}\)

The equation of a line is given as:

y = mx + c

where m = slope and c = y-intercept.

The slope of the line parallel to the line 2x + 4y = 56 is -(1/2).

i.e

Slope = -(1/2)

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

y = 2x + 5

Slope = 2

y-intercept = 5

We have,

Let the equation of the line be:

y = mx + c

m = slope.

The equation is parallel to the line 2x + 4y = 56.

2x + 4y = 56 can be written in the form y = mx + c.

2x + 4y = 56

Subtract 2x on both sides.

4y = 56 - 2x

Divide both sides by 4.

y = 14 - (1/2)x

y = -(1/2)x + 14

m = -(1/2)

Since the line is parallel to the line 2x + 4y = 56 which has a

slope m = -(1/2).

The slope of the line is m = -(1/2).

Thus,

The slope of the line parallel to the line 2x + 4y = 56 is -(1/2).

i.e

Slope = -(1/2)

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Answer: Let's denote the two bases of the trapezoid as b1 and b2. Since the area of a trapezoid is given by the formula:

Step-by-step explanation: Area = (b1 + b2) * h / 2,

where h is the height of the trapezoid, we can plug in the given values to obtain:

20 = (b1 + b2) * 10 / 2

Simplifying the equation, we get:

b1 + b2 = 4

Now, we need to find two possible values of b1 and b2 that satisfy this equation. We can use the fact that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In other words, b1 + b2 > h, or b1 + b2 > 10.

One possible solution is to set b1 = 2 and b2 = 2, since 2 + 2 = 4 and 2 + 2 > 10. In this case, the trapezoid would look like a rectangle with height 10 and bases of length 2 and 2.

Another possible solution is to set b1 = 1 and b2 = 3, since 1 + 3 = 4 and 1 + 3 > 10. In this case, the trapezoid would have a shorter base of length 1 and a longer base of length 3.

To draw a picture of the trapezoid, you can start by drawing a horizontal line to represent the height of the trapezoid, and label it with "h = 10". Then, draw two lines above the horizontal line to represent the two bases of the trapezoid, and label them with "b1" and "b2". Finally, draw two diagonal lines connecting the ends of the bases to complete the trapezoid. Make sure that the shorter base is labeled with the smaller value, and the longer base is labeled with the larger value.

The Simplified value of the expression  –24 – (–16) is  -8  , the number line is shown below .

In the question ,

it is given that ,

the expression is given as -24 -(-16) .

We have to find the simplified value the given expression ,

= -24 -(-16)

= -24 + 16                      ....because -(-16) = 16  

On Further simplification ,

we get ,      

= -8

the simplified value of the given expression is -8 .

the work on number line is shown below .

Therefore , The Simplified value of the expression  –24 – (–16) is  -8  , the number line is shown below .

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Answer:

This equation has no solution.

Step-by-step explanation:

A constant zero never equals zero..

Answer:

7(2x - 3y)

Step-by-step explanation:

Take out what they both have, put it on the outside.

Put the rest on the inside.

Answer:

7 (2 x - 3y)

Step-by-step explanation:

Answer:

x=7.8

Step-by-step explanation:

use Pythagoras

a^2+b^2=c^2

6^2+5^2=c^2

36+25=61

square root 61

x=7.8102496759066

to the nearest tenth

x=7.8

An equation that is parallel to the line 32x-y=15 is y = 32x - 47.

y' = 4x³

m = slope of tangent line =slope of the given line = 32

y' = 32 at the tangent point

4x³ = 32

x = 2

y = 2⁴+ 1 = 17

The tangent point is (2,17)

Tangent line:

y = 32x + b

17 = 32(2) + b

b = -47

y = 32x - 47

The straight line that "just touches" the curve at a particular location is known as the tangent line (or simply tangent) to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.

A straight line has a slope of f'(c), where f' is the derivative of f, and is said to be tangent to a curve at a point x = c if it passes through the point (c, f(c)) on the curve. Space curves and curves in n-dimensional Euclidean space have a similar definition.

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Answer:A.

the subtraction property of equality

Step-by-step explanation:

If a single serving of trail-mix is of 3/4 ounce, then

(a) there are 15.33 servings in the bag of trail-mix

(b) The method to check the answer is explained below.

Part (a) : To find the number of servings in the bag of trail mix, we divide the weight of bag by weight of each serving:

Number of servings = (Weight of bag)/(Weight of each serving),

Weight of bag = 11(1/2) ounces = 23/2 ounces

Weight of each serving = 3/4 ounce

Number of servings = (23/2)/(3/4) = (23/2) × (4/3) = 46/3 ≈ 15.33,

So, there are 15.33 servings in the bag of trail mix.

Part (b) : We can check our answer by multiplying number of servings by the weight of each-serving to see if it equals the weight of the bag:

(Number of servings) × (Weight of each serving) = Weight of bag,

15.33 × (3/4) = (46/3) x (3/4) = 23/2,

The weight of the servings is equal to the weight of the bag, so our answer is correct.

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The given question is incomplete, the complete question is

A bag of trail mix weighs 11(1/2) ounces. Each serving of trail mix is 3/4 ounce.

(a) How many servings are in the bag of trail mix? Show your work.

(b) Explain how you can check your answer. Then check your answer.

Answer:

Hey there!

20^2+25^2=c^2

400+625=c^2

1025=c^2

Square root 1025 is the correct answer, so option C.

Let me know if this helps :)

Answer: B

Step-by-step explanation:

Answer:

a) 0.022084622

b) 0.08163265306

c) 0.13258252147

hope this helps! PLZ mark brainliest