Which of the following is true ?

A circle and a plane can intersect at three non-collinear points. When a plane intersects a sphere at exactly one point, the intersection is a circle. If a plane intersects a sphere at two points, the intersection is a circle.

And if a plane intersects a sphere at three points, the intersection is three non-collinear points. The three points of intersection are called the points of intersection of the plane and the sphere.

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points.

The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle. Here, the given triangle is a right-angled triangle, So we can use trigonometry rule:

Therefore, the simplest radical form is  \(= Cos 30\)  .

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The length οf side x  in simplest radical fοrm with a ratiοnal denοminatοr is (4√3)/3 units

And if a plane intersects a sphere at three pοints, the intersectiοn is three nοn-cοllinear pοints. The three pοints οf intersectiοn are called the pοints οf intersectiοn οf the plane and the sphere.

Here we have a right 60,30 Triangle with Side 2 units and Hypοtenuse x units.

Nοw,

Sin 60° = Opp./Hyp

Sin 60° = 2/x

But we knοw that,

Sin 60° = √3/2

Sο,

√3/2 = 2/x

Crοss multiplying we get,

x√3 = 4

x = 4/√3

Ratiοnalizing the denοminatοr,

x = (4/√3) × (√3/√3)

x = (4√3)/3 units

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Complete Question:

In the case of coinciding lines with the same y-intercept, the number of solutions to the equation system is unlimited.

An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. as in 3x + 5 = 15, for example.

There are many different types of equations, such as linear, quadratic, cubic, etc.

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It shows that the expressions printed on the left and right sides have an equal relationship. In any mathematical equation, we have LHS = RHS (left hand side = right hand side).

Equations can be solved to find the value of an unknown variable that represents an unknown quantity. If there is no "equal to" symbol in the sentence, it is not an equation.

Hence, In the case of coinciding lines with the same y-intercept, the number of solutions to the equation system is unlimited.

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Complete question-

Using the equation y = 2/3 x - 5, describe how to create a system of linear equations with an infinite number of solutions.

Answer:

B and C

Step-by-step explanation:

Because it is raised to the ^Power of 13. This choice makes the most sense.

The real numbers are \((-256)^{1/9}\) and \((-531441)^{1/13}\). Then the correct options are C and D.

All the numbers are real number.

If the number is having iota (i), then the number becomes complex number.

A. \((-1024)^{1/4} = 4 * (-2^2)^{1/4} = 4\sqrt2 \iota\)

B. \((-131072)^{1/16} = 2*(-2)^{1/16} = 2 \sqrt[16]{2} \iota\)

C. \((-256)^{1/9} = -1.85\)

D. \((-531441)^{1/13} = -2.76\)

Then the real numbers are \((-256)^{1/9}\) and \((-531441)^{1/13}\).

Then the correct options are C and D.

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Answer: answer choice 2) P(A) = 0.8, P(B) = 0.25

Step-by-step explanation:

The True statement is  P(A) = 0.8, P(B) = 0.25.

The correct option is (B).

Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

1. 0.4 ·0.3≠ 0.2,

2. 0.8 · 0.25 = 0.2

3. P(A|B)= P(A)= 0.2

        0.2 ≠ 0.2 · 0.2

4. 0.2 ≠ 0.15 · 0.05

Hence. the only condition is satisfied is (B).

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Answer:

Hello, It isn't clear.

It looks blur to me

Answer:

7. C

8. A

To find slope, we need two points. Once we have them, we can put them into the formula:

\(\frac{y_2 - y_1}{x_2 - x_1}\)      ← this is rise/run

For 7, it's just a matter of comparing any two consecutive points.

For 8, you are given the two points.

The statement "if a > √n and b > √n, then n ≠ ab" is saying that if two positive integers, a and b, are both greater than the square root of another positive integer n, then the product of a and b is not equal to n. This statement can be proven by contradiction.

Suppose the opposite is true, and that n = ab, where a and b are positive integers such that a > √n and b > √n. Then, because n = ab, we have n/a = b and n/b = a. But because both a and b are greater than the square root of n, we have √n < a and √n < b. This leads to a contradiction, because it means that n/a = b > √n, but √n is the largest possible value of b such that b < n/a.

Thus, we have proven that if a > √n and b > √n, then n cannot equal ab, and our original statement is true.

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Answer:

Volume of Cube = length cube

Total surface area=2(lb+lh+bh)

Volume of Cuboid=l×b×h

I think it will help you.

Answer:

Slope = -1

Step-by-step explanation:

Since, slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

Slope = \(\frac{y_2-y_1}{x_2-x_1}\)

Therefore, slope of a line passing through two points A(1, 4) and B(3, 2) will be,

Slope = \(\frac{4-2}{1-3}\)

          = (-1)

Therefore, slope of the line is (-1).

Answer:

1.) y=3x-7

2.) 2=5x-y

3.) y=-4-2x

4.) 1=3/4x+y

5.) y=4x+8

6.) 9=3/4x+8

7.) 9=y+x

8.) y=-2/6x+2

9.) 5=-2/3x+y

Step-by-step explanation:

Standard form is Ax=By=C and Slope form is y-mx+b

for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:

3x-y=7

+7 -7

3x-7=y

then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8

The question gives us the following information:

The right side of the swimming pool is drawn with a scale of:

1 inch = 3 meters

To find:

The dimension of the right side of the swimming pool from another drawing of scale:

2 inches = 5 meters

Thus,

Given:

2 inch = 5 meters

Therefore, 1 inch in the drawing will be:

5 meters ÷ 2 inches = 2.5 meters

Therefore, scale in the other drawing is 1 inch = 2.5m

From this we can calculate,

5 meters x 2.5 meters = 12.5 meters.

So we know,

The dimension of the right side of the drawing with the scale 2 inches = 5 meters is 12.5 meters.

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Answer: do you still need help

Step-by-step explanation:

Answer:

$310

Step-by-step explanation:

$290/29

=$10

31 multipled by 10

=$310

Answer:

her mother drives 142 miles more than her brother.

Step-by-step explanation:

227 + 337 = 564 miles in total driven

¼ of 564 miles = 136 miles (what her brother drives of the 564 miles)

564 - 136 = 428 left

her mother drives 428-150 miles from Wednesday = 278

278-136=142

(plz mark branliest)

It gradually decreases as alcohol is metabolized. The function C(t)=0.135 t e^{-2.802 t}models the mean BAC measured in g/mL.

The maximum average BAC during 3 hours is 0.0001358 g/mL.

f(t) = α t e−βt --(1)

Let's rewrite this in a simple form:

f(t)= α eˡⁿ ᵗ e⁻βt = αe^(ln t −βt)

Since e^x is strictly increasing and it will be maximized exactly when its argument is maximized, so we can maximize instead:

g(t)=ln t −βt

differentiating with respect to t , and g'(t) = 0

g′(t)=1/t − β = 0

=> t =1/β

we have given a function

C(t)=0.135 t e⁻²·⁸⁰²ᵗ

if we compare it with (1) we get

β = 2.802, 0.135 = α

For it's maximized we need to check the second order condition, and that of g will differentiate again , g′′(t)= −1/t² < 0

We have to compute the derivative of C(t):

C′(t) = 0.135 t⋅(−2.802)e⁻²·⁸⁰²ᵗ + 1.35e⁻²·⁸⁰²ᵗ

For optimum at t₀ if C′(t₀)=0 and C′′(t₀)≠0. Here, we have

C′(t₀) = 0.135t₀⋅(−2.802)e⁻²·⁸⁰²ᵗ₀+ 0.135e⁻²·⁸⁰²ᵗ₀ =e⁻²·⁸⁰²ᵗ₀(−0.135* 2.802t₀+ 0.135)=0

It is clear that e⁻²·⁸⁰²ᵗ₀ not equal to zero for all t₀∈R, so that

=> −0.135* 2.802t₀+0.135=0

=> t₀ = 1/2.802 ≈0.36

let us consider t is in hours, so that it makes t₀ =0.36h≈21.41min. This is the only optimum and one should verify it is indeed a maximum, i.e. C′′(t₀)<0.

Now, easily compute the maximum average BAC, which is C(t₀)=C(0.36) = 0.135 (0.36)e⁻²·⁸⁰²⁽⁰·³⁶⁾

= 0.0486(0.3678) = 0.01787508

Hence, the maximum average BAC, is 0.017 g/dL.

Maximum average BAC during the first 3 hours,

t = 3 , C(t)=C(3) = 0.135 (3)e⁻²·⁸⁰²⁽³⁾ = 0.0001358 g/mL

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Answer:

You would show it by creating a XY graph and labelling the Y axis as the hours and the X axis as the distance. Some points are (1,60), (2,120), and (3,180).

Step-by-step explanation:

A segment MN has endpoints M(-7.-6) and N(7,7). Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

___________________________

Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

5:2 means that it is divided into 7, and we do not move two positions from (7,7)

X axis

7- (-7) = 14

14/7 = 2

7-2*2 = 3

Y axis

7-(-6)= 13

13/7 =

7 - 2* (13/7) = 49/7 - 26/ 7 = 23/7 = 3 2/7

______________________________

Answer

(3, 3 2/7)

Answer:

blank = inheritance

Step-by-step explanation:

Hope that helps

Answer:

-7x^2-3x

Step-by-step explanation:

-x * 7x + (-x) * 3

-7xx-3x

-7x^2-3x

Answer:

Option 3. r=800m

Step-by-step explanation:

From the table we can see that with each addition of a month the cost raises 800 dollars. (9,10).

Answer:

The third one.) r = 800m

Step-by-step explanation:

800m = 800 × m

Ex. 800 × 2 = 1,600

800 × 5 = 4,000

and so on...

The statements that are true regarding the diagram are:

Think of ABC as having outside angles.

∠ 1 , ∠ 4 ,and ∠ 6

A triangle's exterior angle is equal to the sum of its inner angles on either side.

Exterior 1 has the following

Exterior angle of a triangle is given by the formula: ∠(1 = 5 + 3).

Similarly,

Exterior 4 consists of

∠ (4 = 5 +  2) this is the exterior angle of the triangle.

Similarly,

Exterior 6 consists of

Exterior angle of a triangle is given by the formula: ∠6 = ∠2 + ∠3

Property Triangle Sum:

This is the formula that tells us that the number of angles in a triangle is 180.

hence

m∠2 + m∠3 + m∠5 = 180°

The linear pair has it that the angles that are in a straight line is 180 degrees. Hence m∠5 + m∠6 = 180°

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To solve the given differential equation using Laplace transformation, we'll follow these steps:

Step 1: Apply the Laplace transformation to both sides of the equation.

Taking the Laplace transform of the equation, we have:

L{du(t)/dt} + 2L{dy(t)/dt} + 17L{y(t)} = -10L{dt/dt}

Using the properties of the Laplace transform, we get:

sU(s) - u(0) + 2sY(s) - y(0) + 17Y(s) = -10/s

Step 2: Apply the initial conditions.

Since we have the initial condition dy(0)/dt = 0, and y(0) = 0, we can substitute these values into the equation:

sU(s) - u(0) + 2sY(s) - 0 + 17Y(s) = -10/s

sU(s) + 2sY(s) + 17Y(s) = -10/s

Step 3: Solve for Y(s).

Rearranging the equation to isolate Y(s), we have:

Y(s)(2s + 17) = -10/s - sU(s)

Y(s) = (-10 - sU(s))/s(2s + 17)

Step 4: Take the inverse Laplace transform.

To find the solution y(t), we need to take the inverse Laplace transform of Y(s). However, the given u(t) = e is not in Laplace transform form. Please provide the correct Laplace transform expression for u(t) so that we can proceed with finding the inverse Laplace transform and the solution to the differential equation.

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Answer:

about 30.26

Step-by-step explanation:

tan-1 7/12 = 30.26

Answer:

false

Step-by-step explanation:

in addition it works for example 1+2=2+1

but it does not in subtraction 1-2= -1 but 2-1=1

Answer: $2624

Step-by-step explanation:

Well since it’s square yards that means find the area first and since it’s a square and your given 1 side then it’s 8(8)=64. So there’s 64 square yards and since it’s $41 per square yard then multiply 64(41) which will give you $2624

Answer:
38. (A) True
39. (B) False

Step-by-step explanation:

The set of people working in the summer consists of both female an male since there is no determiner to show that the 80% of students are a specific gender. Therefore, the answer to the first question is True (A).

My expression for finding the probability of being female and working part time in summer only is:
\(\frac{84}{100} \\\\ \\ \\ \\\)\((\frac{1}{2} *\frac{80}{100})\\\)\(=\frac{42}{125}\) which is also equal to 0.336. Therefore the second question is false.




Please forgive me if I'm wrong but I'm open to any correction or criticisms.

Answer:

D

Step-by-step explanation:

Edg

Answer:

I have a document with examples, do you wanna it?

Step-by-step explanation:

10 percent of 300 is 30

3 hours and 10 minutes =190

Lisa played in 6 soccer matches and Josh played in 18 soccer matches, which means Josh has played in 3 times as many soccer matches as Lisa.

Lisa has played in 6 soccer matches.

Lisa says Josh has played in 12 times as many matches as she has.

Lisa found the number that when Y is multiplied by 12 could have used the equation Y × 12 = 18.

Instead, Lisa played in 6 soccer matches and Josh played in 18 soccer matches, which means Josh has played in 3 times as many soccer matches as Lisa.

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IDEK but u fine hml

explanation:

u cute