After how many seconds does the object reach its maximum height? 2 seconds 3 seconds 6 seconds 9 seconds

Answer:

[tex] \frac{150}{480} = \frac{15}{48} = \frac{5}{16} [/tex]

The weight of a cubic foot of stone is 5/16 the weight of a cubic foot of iron.

The respective missing proofs are; Alternate interior; Transitive property; Converse alternate interior angles theore

We are given that;

∠T ≅ ∠V and ST || UV

From images seen online, the first missing proof is Alternate Interior angles because they are formed when a transversal intersects two coplanar lines.

The second missing proof is Transitive property because angles are congruent to the same angle.

The last missing proof is  Converse alternate interior angles theorem

because two lines are intersected by a transversal forming congruent alternate interior angles, then the lines are parallel.

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Answer:

Given: ∠T ≅ ∠V; ST || UV

Prove: TU || VW

4 connected lines are shown. A line from point S goes slightly down and to the left to point T to form S T. A line from point T goes slightly down and to the right to point U to form T U. A line from point U goes slightly down and to the left to point V to form U T. A line goes slightly down and to the right to point W to form point W.

Complete the two-column proof.

♣ =

✔ alternate interior angles theorem

♦ =

✔ transitive property

♠ =

✔ converse alternate interior angles theorem

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

IF YOU SEE A RIGHT ANGLED TRIANGLE APPLY THE TRIG RATIOS*

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:A. \:\: 10[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } = 102[/tex]

[ subtract 2 from both sides ]

[tex]\qquad \tt \rightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } - 2 = 102 - 2[/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } - \bigg( 2 \sdot x \sdot \cfrac{1}{x} \bigg)= 100[/tex]

[ 2 can written like that, as they cancel out each other ]

Apply Identity [ a² + b² -2ab = (a - b)² ]

[tex]\qquad \tt \rightarrow \: \bigg (x - \cfrac{1}{x} \bigg) {}^{2} = 100[/tex]

[tex]\qquad \tt \rightarrow \: x - \cfrac{1}{x} {}^{} = \sqrt{100}[/tex]

[tex]\qquad \tt \rightarrow \: x - \cfrac{1}{x} {}^{} = 10[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The value of g(1) is 4 because  (x, y) satisfy the function f(x) then (y, x) will satify the function g(x) option (D) 4 is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we know if the f(x) has inverse function g(x)

Let (x, y) satisfy the function f(x) then (y, x) must satify the function g(x)

f(x) has ordered pair = (4, 1)

Then g(x) has (1, 4)

g(1) = 4

Thus, the value of g(1) is 4 because  (x, y) satisfy the function f(x) then (y, x) will satify the function g(x) option (D) 4 is correct.

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Answer:

8/21

Step-by-step explanation:

17/21 - (2/7 + 1/7)

= 17/21 - ( 3/7)

= 17/21 - (3×3/7×3)

= 17/21 - 9/21

= 8/21

Answer:

the answer is d as 38 31 which are highest

Step-by-step explanation:

a is false as 38>31 which is on Saturday
b is false as Saturday customers were less we can infer from the last three on Friday
c false as Saturday was 12 people and Friday 6 people

Answer:

f(a+2)=3a+11/a+2

Step-by-step explanation:

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

Explanation:

Focus on the endpoints (0,15) and (10,0). They are the y and x intercepts in that order. This is the starting point and ending point of the ball.

The average rate of change is the slope of the line connecting these endpoints. This is when we consider the entire time the ball is in the air.

Let's use the slope formula to get the following:

[tex](x_1,y_1) = (0,15) \text{ and } (x_2,y_2) = (10,0)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{0 - 15}{10 - 0}\\\\m = \frac{-15}{10}\\\\m = -\frac{3}{2}\\\\[/tex]

The slope is -3/2, which is the average rate of change.

It tells us that the height is decreasing by 3/2 = 1.5 meters per second, which is an average speed.

In other words, the ball is going downward at an average speed of 1.5 meters per second.

Keep in mind the instantaneous speed of the ball is changing all the time. The result of -3/2 = -1.5 only applies to the average speed.

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

Note how the slope formula involves computing the change in y (which was us computing [tex]y_{2} - y_{1} = 0 - 15 = -15[/tex]. It indicates the ball had gone down 15 meters when going from the start point to the ending point. This is the change in distance. The change in time is the [tex]x_{2} - x_{1} = 10-0 = 10[/tex] portion, meaning the duration is 10 seconds.

In short,

slope = rise/run

slope = (change in distance)/(change in time)

slope = (-15)/(10)

slope = -3/2

So this may be a better way to see what's going on rather than rely on a formula in the previous section.

3286000x4/100=131440

131440x11=1445840

3286000-1445840=1840160

Answer: 1840160

this is the answer I got but for some reason the answer didn't turn out to be in decimal :( but I sware this is the answer I got

Answer: x = 12

Step-by-step explanation: The given triangle is an equilateral triangle. Equilateral triangles have all angles and all sides equal. Thus, let's solve for x knowing all 3 equations are equal. For this, only 2 equations are necessary.

5x - 22 = 4x - 10

Adding 22 to both sides, we get:

5x = 4x + 12

Subtracting 4x to 5x, we get:

x = 12.

Thus 5*12 - 22 = 38, and 4*12 - 10 = 38, and so is 3*12 + 2 = 38. Thus, we know this is correct.

Answer:

x = 12

Step-by-step explanation:

Hello!

All three angles are congruent, indicating that this is an equilateral triangle.

The rules of this triangle say that all sides are congruent.

We can solve for x by setting any 2 sides equal to each other. I'm picking AB and BC.

The value of x is 12.

Answer:

Step-by-step explanation:

Simplify 14(1−23)2+13

Remember PEMDAS

14 * (1 - 23) * 2 + 13 =

14 * (-44) * 2 + 13 =

-308 * 2 + 13 =

-616 + 13 =

-603

Answer:

Here's your answer guy

Step-by-step explanation:

a)cat

b)8

c)6....

The correct answer is option D which is the model will be

A = 13000( 0.72 ) [tex].^t[/tex].

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

The expression will be formed as:-

As we can see that the depreciation of the car per year is 28% so the amount of the car is decreased by 28 percent every year.

Now the remaining value of the car will be 100 - 28 = 78%. So the expression will be given as:-

A = 13000( 0.72 ) [tex].^t[/tex].

Therefore the correct answer is option D which is the model will be

A = 13000( 0.72 ) [tex].^t[/tex].

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Answer: The answer is

x=   -3

y=    3

Answer:

(A). y - 4 = 3 ( x - 1 )

Step-by-step explanation:

Slope "m" and ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) ⇒

Slope-point form of linear equation is y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~

m = 3 and point with coordinates ( 1 , 4 )

y - 4 = 3 ( x - 1 )

Answer:

7,853.982

Step-by-step explanation:

Edg 2022

Answer:

Step-by-step explanation:do i know u

Answer:

x= 5.8125

Step-by-step explanation:

Given: [tex]\frac{12x-7}{4} =\frac{5x+18}{3}[/tex]

Since we have one fraction equal to another fraction, we can cross multiply.

(12x -7)(3)= 4(5x +18)

Expand:

36x -21= 20x +72

Bring all the x terms to one side, constant to the other:

36x -20x= 72 +21

Simplify:

16x= 93

Divide both sides by 16:

[tex]x= \frac{93}{16}[/tex]

x= 5.8125

Additional:

Here is a similar question which you may wish to check out

Answer:

Step-by-step explanation:

Wrong

m∠R > m∠T

Correct

m∠S + m∠T < 90°

m∠S = m∠T

m∠R > m∠S

m∠S > m∠T

Answer:

Correct Answers:

m∠R > 90°

m∠S + m∠T < 90°

m∠R > m∠T

m∠R > m∠S

Wrong Answers:

m∠S = m∠T

m∠S > m∠T

Step-by-step explanation:

Finished on assignment. Found error is last response! Updated 7/2022

Answer:

Maths is the subject which deals with numbers, calculations, areas, geometry etc

Various topics in maths are

trigonometry

geometry

airthmatic

etc

Answer: A. h(x) = 1/4x - 2

Step-by-step explanation:

f(x) = 4x + 8

find the inverse...

A.

[tex]h(x) = \frac{1}{4} x-2[/tex]

[tex]f(x) = 4(\frac{1}{4} x-2)+8[/tex]

[tex]f(x)=x-8+8[/tex]

[tex]f(x)=x[/tex]  

[tex]h(x) = \frac{1}{4} (4x+8)-2[/tex]

[tex]h(x)=x+2-2[/tex]

[tex]h(x)=x[/tex]

Since they both come out to 'x', they are inverses of each other.

f(x) = 4x + 8 and h(x) = 1/4x - 2 are inverses

Answer:

D. between 5.4 cm and 6.5 cm

Step-by-step explanation:

The segment is about 6cm
and 6cm is between 5.4 and 6.5

since we were given the key ( how it should be sort out or used )

then we get all the numbers out which are:

21, 23, 30, 32, 32, 35, 43, 44, 46, 48, 49, 49, 50, 52, 52, 53, 55

then we go ahead to answer the questions:

a) Range = highest number minus Lowest number

55 - 21 = 34

b) 17 (by counting all individual ages ).

c) Median = the middle age

(but before that, we must arrange the ages either a cording to their sizes either from biggest to smallest (descending order) or from smallest to biggest (ascending order)

so we arrange in ascending order but the numbers are already arranged so we don't have to stress ourselves:

Median = 46 (the number in the middle ).

Hope you ace your tests, Good luck ✅.

The average rate of change of the function is -35/16.

We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ 8.

so

at x₁ = -8, f(x₁) = f(-8) = 30

at x₂ = 8, f(x₂) = f(8) = -5

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                     = [f(8) - f(-8) ] / [8-(-8)]

                     = [-5 - (30)] / [16]

                     = [-35] / 16

Therefore, the average rate of change of the function is -35/16.

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If the statement is "The difference of four times a number and seven is ten times the number." then an algebraic equation is 4x-7= 10+x and the solution is -7/6.

Given the statement "The difference of four times a number and seven is ten times the number." We have to translate the statement in an algebraic equation and then solve it.

Let, the number be x.

This difference of four times a number and seven is 4x-7 and ten times the number is 10x

According to the question, the equation is,4x-7= 10x

4x-7=10x

6x=-7

x=-7/6

x=-7/6

Hence the value of the x is -7/6.

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Answer: The Actual area of the dining room is 252 square feet.

Explanation:

How to Find the Actual Area Using Scale?

Given that the area of the house on a blueprint = is 7 square inches.

The scale of the blueprint = is 1 inch: 6 feet.

Therefore, we would have the following proportion:

The area on the blueprint/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.

The numerical length of GH is 20.

Given, FH=4x+8, FG=x and GH=5x.

We need to determine the numerical length of GH.

In geometry, a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.

Given Point G is on the line segment FH, then FG + GH = FH.

Now, substitute the given values into the formula as shown:

x + 5x = 4x + 8

6x = 4x + 8

6x - 4x = 8

2x = 8

x=4

To get the length of GH substitute x=4 for 5x

That is, GH = 5(4)= 20

Hence, the numerical length of GH is 20.

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[tex]\huge\underline{ Answer -}[/tex]

Given ,

[tex]\boxed{p = \frac{f}{a} } \\ [/tex]

where ,

the initial values of a and f are -

a = 70

a = 20

[tex]\therefore \: f = 80 \\ a = 30[/tex]

Then ,

[tex]p = \frac{f}{a} \\ \\ \implies \: p = \cancel{\frac{80}{30} } \\ \\ \implies \: p = \frac{8}{3} = 2.67[/tex]

hope helpful ~

The rotations which will map this figure itself are 60°, 120°, and 180°, and these values are given in option i.e. (a) ii, iii, and iv.

We have,

A figure which is on a straight line i.e 180°.

Now,

Find the rotations which it will make,

When a person or figure rotates completely i.e. to reach to its original position or shape it makes an angle of 360°.

So,

In the same way;

After rotaions of this figure to reach it to its original position it has to make an angle of 360°.

So,

That means,

First this figure will make a rotation of 60°.

Then it will make a rotation of 120°.

Then it will make a rotation of 180°.

i.e.

The sum of these angles = 60° + 120° + 180° = 360°.

So,

We have to choose that option, in which the sum of angles is 360°.

i.e.

Option 1. ii, iii, and iv.

Therefore, the rotations which will map this figure itself are 60°, 120°, and 180° and these values are given in option i.e. (a) ii, iii, and iv.

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