sometimes true, always true, or never true?​

[tex]|\Omega|=(\text{the area of the triangle})=\dfrac{a^2\sqrt3}{4}=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}\\|A|=(\text{the area of the sector})=\dfrac{\alpha\pi r^2}{360}=\dfrac{60\pi \cdot 1^2}{360}=\dfrac{\pi}{6}\\\\\\P(A)=\dfrac{\dfrac{\pi}{6}}{\dfrac{9\sqrt3}{4}}\\\\P(A)=\dfrac{\pi}{6}\cdot\dfrac{4}{9\sqrt3}\\\\P(A)=\dfrac{2\pi}{27\sqrt3}\\\\P(A)=\dfrac{2\pi\sqrt3}{27\cdot3}\\\\P(A)=\dfrac{2\pi\sqrt3}{81}\approx13.4\%[/tex]

Answer:

13.44%

Step-by-step explanation:

For DG to have length of 1 or less, point G must be contained in a sector of a circle with center at point D, radius of 1, and a central angle of 60°.

The area of that sector is

[tex]A_s = \dfrac{n}{360^\circ}\pi r^2[/tex]

[tex]A_s = \dfrac{60^\circ}{360^\circ} \times 3.14159 \times 1^2[/tex]

[tex] A_s = 0.5254 [/tex]

The area of the triangle is

[tex] A_t = \dfrac{1}{2}ef \sin D [/tex]

[tex]A_t = \dfrac{1}{2}\times 3 \times 3 \sin 60^\circ[/tex]

[tex] A_t = 3.8971 [/tex]

The probability is the area of the sector divided by the area of the triangle.

[tex]p = \dfrac{A_s}{A_t} = \dfrac{0.5254}{3.8971} = 0.1344[/tex]

Answer:

The systems of equation for the amount spent are as follows

[tex]Y= 0.99x+5[/tex]

[tex]Y= 0.79x+10[/tex]

Step-by-step explanation:

In this problem we are expect to give a model or an equation that represents the amount of money spent per month given a fix subscription amount and a variable fee which is based on extra minutes spent.

let Y represent the amount of money spent in total for the month

The first case:

Subscription =$5

charges per minutes = $0.99

therefore the amount spent can be modeled as

[tex]Y= 0.99x+5[/tex]

The second case:

Subscription =$10

charges per minutes = $0.79

therefore the amount spent can be modeled as

[tex]Y= 0.79x+10[/tex]

Answer:

A

Step-by-step explanation:

- 2 ≤ 7 - x < 11

-9 ≤ - x         - x < 4

9 ≥ x           x > -4

Answer:

Hey there!

-2 ≤ 7 - x < 11

-9 ≤ - x < 4

9 ≥ x > -4

-4 < x ≤ 9

A closed circle means greater than or equal to or less than or equal to, while an open circle means greater or less than. From this equation, we see that number line A is correct.

Let me know if this helps :)

Find the value of xy².

xy²

★ Substituting the values of x and y ,we get :

⇒ -12 × ( -3 )²

⇒ -12 × 9

⇒ -108

Answer:

Composition and vertical translation must be done in the parent function.

Step-by-step explanation:

Let be [tex]j(x)[/tex] the parent function, if [tex]g(x) = j(4\cdot x) -27[/tex], then two transformation must be done in the following order:

Composition

[tex]j \circ h (x) \rightarrow j(h(x))[/tex], where [tex]h(x) = 4\cdot x[/tex]

Vertical translation

[tex]g(x) = j(4\cdot x) -27[/tex]

Composition and vertical translation must be done in the parent function.

Answer: Option D

Horizontal compression by a factor of 1/4, and a translation 27 units down

Answer:

see below

Step-by-step explanation:

The phrase "at least" indicates that you use the symbol ≥, so that's where they got the ≥ from. The amount of water needed for each bushel is 1/3 * f or 1/3f because you need 1/3 gallons of water per one bushel. We know that the amount of water needed is at least 1/3 gallons per bushel. Since the amount of water is w, "at least" is ≥ and 1/3 gallons per bushel is 1/3f, the inequality is w ≥ 1/3f. I hope this makes sense.

Answer:

Any one of these three works:

plane MOU

plane MNU

plane NOU

Step-by-step explanation:

A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.

Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.

To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.

plane L can be named

plane MOU

plane MNU

plane NOU

Do not name it plane MNO

Answer:

The 4th term = a+3d = 0,

or a = -3d.

The 25th term = a+24d = -3d+24d = 21d. ...

the 25th term is 3 times the 11th term. Proved.

Answer:

a^25 = 3 x a^11 .

Step-by-step explanation:

Given a^4 = 0

That is (a + 3d) = 0

⇒ a = - 3d ........... (1)

nth term of AP is given by an = a + (n – 1)d

a^11 = a + 10d = – 3d + 10d = 7d  [From (1)]

a^25 = a+ 24d = – 3d + 24d = 21d  [From (1)]

Hence

The answer is a^25=3 x a^11

Answer:

0

Step-by-step explanation:

Answer:

[tex]W(t)=5(2^t)[/tex]

Step-by-step explanation:

Given that the Newly planted seedlings approximately double their weight every week and a seedling weighing 5 grams is planted at time t = 0 weeks. This represent an exponential function with an equation in the form:

[tex]W(t)=ab^t[/tex].

W(t) is the weight in t weeks, t is the weeks and a is the weight when t = 0. At t = 0, W = 5 g:

[tex]W(t)=ab^t\\W(0)=ab^0\\5=ab^0\\a=5[/tex]

Since the weight double every week, b = 2. The exponential function is given as:

[tex]W(t)=ab^t\\\\W(t)=5(2^t)[/tex]

Answer: The required ratio is PT:TR  = 1:2.

Step-by-step explanation:

Given: In triangle PQR, ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90 cm².

To find : PT:TR

.i.e. Ratio of PT to TR.

Here, PT:TR[tex]=\dfrac{PT}{TR}[/tex]

[tex]=\dfrac{4\ cm}{8\ cm}[/tex]

Divide numerator and denominator by 4 , we get

[tex]\dfrac{1}{2}[/tex]

Therefore, the required ratio is PT:TR  = 1:2.

Answer:

2(x-5)

Step-by-step explanation:

Answer:

the answer to your question is 5xa^2

or you can use symbolab calculator online

Answer: do do that you need a firm understanding of trig. once you do, you can see all the steps and solve a trig proof problem easily. So go back to solving regular trig questions, and keep asking yourself why this formula works. once you have understanding of that, you can solve trig proof problems with ease.

Step-by-step explanation:

Answer:

C D E

Step-by-step explanation:

Edg

Out of the given options, options C, D and E are a difference of squares.

Difference of Squares, two terms that are squared and separated by a subtraction sign.

Given are, options,

D) (y squared minus x y)(y squared + x y) = (y²-xy)(y²+xy) = y⁴-(xy)²

E) (64 y squared + x squared)(negative x squared + 64 y squared) = (64y²+x²)(64y²-x²) = (64y)⁴-x⁴

C) (3 + x z)(negative 3 + x z) = (3+xz)(3-xz) = 3²-(xz)²

Hence, out of the given options, options C, D and E are a difference of squares.

For more references on difference of squares, click;

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Answer:

the answer is c.

Step-by-step explanation:

c is the only reasonable option.

Answer:

[tex] SA = 24.73~cm^3 [/tex]

Step-by-step explanation:

[tex] SA = 2\pi r^2 + 2\pi r h [/tex]

r = d/2 = (1.5 cm)/2 = 0.75 cm

[tex] SA = 2(3.14)(0.75~cm)^2 + 2(3.14)(0.75~cm)(4.5~cm) [/tex]

[tex] SA = 24.73~cm^3 [/tex]

Answer:

24.7

Step-by-step explanation:

took this exam and got it right

Answer:

y = 32,000(1.08)^x

Step-by-step explanation:

The exponential growth equation is y = a(1 + r)^x, where a is the initial amount, r is rate as a decimal, and x is the time.

In this situation, 32,000 is the initial amount (a) and 0.08 is the rate (r)

If we plug these into the equation, we get the equation y = 32,000(1.08)^x

So, y = 32,000(1.08)^x is the correct answer.

Answer:

A

Step-by-step explanation:

on edge 2020

Answer:

0.02275

Step-by-step explanation:

We use the z score formula to solve for this

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

In the above question:

mean of μ=500

a standard deviation of SD=100

raw score x = 700

Hence, z score = (700 - 500)/ 100

= 200/100

= 2

z score = 2

Using the z score table of normal distribution to find the Probability of z = 2

P( x = z)

= P(x = 700)

= P( z = 2)

= 0.97725

P(x>700) = 1 - P(x = 700)

= 1 - 0.97725

= 0.02275

Therefore, the probability of randomly selecting an individual from this population who has an SAT score greater than 700 is 0.02275

Answer:

B, f(x) = ( x+2) ^2(x-1) (x+3)

Step-by-step explanation:

Looking at the x- intercepts, the line passes at 2, -1, and 3, so B is you answer (:

Answer:

2.5 Yards

Step-by-step explanation:

Multiply 5/8 by 4

Answer:

1/4 or 25%

Step-by-step explanation:

Each dice has six sides, meaning the numbers that are even are: 2,4, and 6, three even numbers per dice. Meaning the chance of rolling ONE dice is 50%. So if you were to get two even numbers on TWO dice, it would be 25% hope this helps.

The odds in favor of rolling two even numbers when rolling a pair of dice would be 25% or 1/4.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Each dice has six sides, means the numbers that are even are:

2,4, and 6, three even numbers per dice.

The total number of outcomes is 6 x 6 or 36.

Meaning the chance of rolling ONE dice is 50%.

The odds in favor of rolling two even numbers when rolling a pair of dice would be 25%.

Learn more about probability here;

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Answer:

Longer than

Step-by-step explanation:

The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Therefore:

AC = FE, BC = DE

Also m∠C is greater than m∠E

∠C is the angle opposite to line AB and ∠E is the angle opposite to line DF. Since AC = FE, BC = DE and m∠C is greater than m∠E. The length of a side of a shape is proportional to its opposite angle, since the opposite angle of AB is greater than the opposite angle of DF  therefore AB is greater than DF

From the given two triangles under the given conditions of congruency, we can say that;

Line segment AB is longer than Line segment FD.

The image showing both triangles is missing and so i have attached it.

Therefore, we can say that line AB and line FD do not have the same length.

Now, we see that angle BCA is larger than angle DEF, and as such we can say that the line segment AB is longer than line segment FD.

Read more about congruency at; https://brainly.com/question/3168048

x = 21

y = 8

=========================================================

Explanation:

Since the y is giving you trouble, I recommend ignoring it for now. Luckily we don't need the y value at first.

Let's solve for x.

The two angles (10x-61) and (x+10) form a straight angle which is 180 degrees.

So,

(10x-61) + (x+10) = 180

10x-61 + x+10 = 180

11x - 51 = 180

11x-51+51 = 180+51 .... adding 51 to both sides

11x = 231

11x/11 = 231/11 .... dividing both sides by 11

x = 21

Since x = 21, the upper right angle (10x-61) is equal to

10x-61 = 10*21-61 = 210-61 = 149

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

We can now focus on the (18y+5) angle. This is set equal to 149 since vertical angles are congruent

18y+5 = 149

18y+5-5 = 149-5 ... subtracting 5 from both sides

18y = 144

18y/18 = 144/18 .... dividing both sides by 18

y = 8

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

Or we could add the angles (18y+5) and (x+10), set them equal to 180, and solve for y like that

(18y+5)+(x+10) = 180

18y+5 + x+10 = 180

18y+5+21+10 = 180 .... plug in x = 21

18y+36 = 180

18y+36-36 = 180-36 ... subtract 36 from both sides

18y = 144

18y/18 = 144/18 .... dividing both sides by 18

y = 8

We get the same result.

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

As a check, plugging y = 8 into 18y+5 should lead to 149

18y+5 = 18*8+5 = 144+5 = 149

This confirms the y value answer

Answer:

You just answered my question so you can ask yours, what a sped. Now i'm doing the same thing.

Step-by-step explanation:

Answer:

approaching negative infinity

Step-by-step explanation:

Since as x increases, the values of f(x) are approaching infinity, the function approaches negative infinity as the end behavior.

Answer:

Below.

Step-step-explanation:

As x increases from negative infinity f(x) decreases in value .

As x increases to positive infinity f(x) decreases in value.

For values of x  on the negative side  the graph rises  to the left and on the positive x -axis it falls to the right.

Answer:

1) Incomplete question

2) Scatterplot

Step-by-step explanation:

1) The question is incomplete. To calculate the average time required for the toy car to move, the formula to be used will be

velocity = distance ÷ time

Hence; time = distance ÷ velocity

2) There are two variables in the question; the distance (it takes the ball to fall) and the time. The type of graph (from the option) that can have two variables represented on it is a scatterplot.

Answer:

answer; A. 20.2 s.

Step-by-step explanation:

i had the same question but i had a graph to help me anyways

20.0 + 19.2 + 21.5 = 60.7 s, but you divide the total by 3, then here is your answer: 20.23333333333333 and you simplify it to 20.2 s,

Answer:

8 10 12 14 16

Step-by-step explanation:

8+2=10, 10+2=12, 12+2=14, 14+2=16

Answer:

57 units^2

Step-by-step explanation:

First find the area of the triangle on the left

ABC

It has a base AC which is  9 units and a height of 3 units

A = 1/2 bh = 1/2 ( 9) *3 = 27/2 = 13.5

Then find the area of the triangle on the right

DE

It has a base AC which is  6 units and a height of 1 units

A = 1/2 bh = 1/2 ( 6) *1  = 3

Then find the area of the triangle on the top

It has a base AC which is  3 units and a height of 3 units

A = 1/2 bh = 1/2 ( 3) *3  = 9/2 = 4.5

Then find the area of the rectangular region

A = lw = 6*6 = 36

Add them together

13.5+3+4.5+36 =57 units^2

Answer:

Total Area = 57 sq. units

Step-by-step explanation:

will make it simple and short

Total Area = A1 + A2 + A3

A1 = (7 + 6) * 6/2 = 39 sq. units  (area of a trapezoid)

A2 = 1/2 (9 * 3) = 13.5 sq. units (area of a triangle)

A3 = 1/2 (3 * 3) = 4.5 sq. units  (area of a triangle)

Total Area = 39 + 13.5 + 4.5 = 57 sq. units

Answer:

-15

Step-by-step explanation:

We proceed as follows;

In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.

Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.

Thus, we have;

2a(b-3) + 5b + _

Now, putting -15 will give us the same expression in the first bracket and this gives us the following;

2a(b-3) + 5b-15

2a(b-3) + 5(b-3)

So we can have ; (2a+5)(b-3)

Hence the constant used is -15