Which pair of parent functions are inverses of each other?.

The graph of g(x) is (a) an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).

The function f(x) is given as:

\(f(x) = 2(0.4)^x\)

\((x,y) \to (-x,y)\)

This means that:

\(g(x) =f(-x)\)

\(f(-x) = 2(0.4)^{-x}\)

\(g(x) = 2(0.4)^{-x}\)

Hence, the graph of g(x) is graph (a)

Read more about function transformation at:

https://brainly.com/question/12619643

By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.

According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.

1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.

Know more about quadrilateral here:

https://brainly.com/question/29934440

#SPJ11

Answer: B, C  and E

Step-by-step explanation:

Answer:

3(2×4)=(3×4)2

%%%%%%%%

Answer:

4(2)³+A×2²+7(2)-1=7

4×8+4A+14-1=7.

32+14-1-7=-4A..

38=-4A.

A=38/-4.

Answer:

Definition: A unique triangle means there is ONLY ONE way to create the triangle. All unique triangles are congruent (the same).

Step-by-step explanation:

Here are some examples:

1.) A unique triangle: In general, a unique triangle may always be drawn if three side lengths are given and the sum of any two is greater than the third.

2.) Not a unique triangle: If your given all three angles which add to exactly 180 degrees it is a non- unique triangle.

I hope this helps have a wonderful day(◕ᴗ◕✿)

Answer:

Third option is the right choice.

Step-by-step explanation:

Manipulate the right hand side.

\(\sec \left(x\right)\\\\=\frac{1}{\cos \left(x\right)}\\\\\mathrm{Use\:the\:following\:identity}:\quad \:1=\cos ^2\left(x\right)+\sin ^2\left(x\right)\\\\=\frac{\cos ^2\left(x\right)+\sin ^2\left(x\right)}{\cos \left(x\right)}\\\\\Rightarrow \mathrm{True}\)

Best Regards!

Answer:

sin ^2 (x)+ cos^2(x)  = 1

Step-by-step explanation:

sin ^2 (x)+ cos^2(x)

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

cos (x)

We know that  sin ^2 (x)+ cos^2(x)  = 1

1

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

cos (x)

The definition of sec is 1 /cos

= sec(x)

The number of ways to select 9 players for the starting lineup from a team of 15 players  is 4862 ways.

The number of ways to select 9 players for the starting lineup from a team of 15 players can be calculated using the formula for combinations, which is given by:

C(n,k) = n! / (k! (n-k)!)

Where n is the total number of items, k is the number of items being selected, ! means factorial, and C(n,k) represents the number of combinations of k items from n.

Using this formula, the number of ways to select 9 players from a team of 15 players is:

C(15,9) = 15! / (9! (15-9)!) = 15! / (9! 6!) = 4,862

So, there are 4,862 ways to select 9 players for the starting lineup from a team of 15 players.

To learn more about combinations click on,

https://brainly.com/question/13480867

#SPJ4

Answer:

\(y = \frac{1}{2}x - 7\)

Step-by-step explanation:

Slope-intercept form: y = mx + b

slope = m = 1/2

b = y-intercept = b

x = (x  , y) = -4

y = (x , y) = -9

Plug in the corresponding numbers and variables into their corresponding variables:

y = mx + b

\(-9 = \frac{1}{2} * -4 + b\)

First, simplify. Multiply 1/2 with -4:

\(-9 = \frac{1}{2} * -4 + b\\ \\-9 = \frac{1 * -4}{2} + b\\\\-9= -\frac{4}{2} + b\\ -9 = -2 + b\)

Next, isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Add 2 to both sides of the equation:

\(-9 = -2 + b\\-9 (+2) = -2 (+2) + b\\b = -9 + 2\\b = -7\)

Next, plug in -7 for b in the given slope-intercept form.

\(y = mx + b\\y = \frac{1}{2} x -7\)

\(y = \frac{1}{2} x - 7\) is your answer.

-

Learn more about the slope-intercept form, here:

https://brainly.com/question/9682526

Answer:

Step-by-step explanation:

Use point-slope form and convert to slope-intercept:

Answer: See explanation

Step-by-step explanation:

Monday

1.) 1250 gallons of water for 1 ounce of Granular chlorine.

2.) w = 1250c

Tuesday

9.5% of 50

0.095 × 50 = 4.75

The fee costs $4.75

Since the fee will be deducted from the selling price..

50 - 4.75 = 45.25

Once he pays for the fee, he'll make $45.25.

Wednesday

To get 1 cup of sugar, you multiply 4 to 1/4 meaning to find the proportional amount of flour used, you have to multiply 2/3 by 4

2/3 × 4 = 8/3

She should use 2 ²/₃ cups of flour

Since in the new recipe, we're multiplying everything by 4..

16 × 4 = 64

With this new recipe, she can make 64 cookies.

Thursday

4800 ÷ 6400 = 0.75

0.75 × 100 = 75

4800 is 75% of 6400

100 - 75 = 25

So, the cost of health insurance for the family increased by 25%

Friday

y = 6x

Answer:

The greatest length possible for each plank is 6m.

Step-by-step explanation:

The given length of three pieces of timber are 54m, 36m and 24m respectively.

To find out the length of greatest plank, we need to find the H.C.F of the three lengths.

Using Prime factorisation,

54 = 2×3×3×3

36 = 2×2×3×3

24 = 2×2×2×3

Highest Common Factor of 54, 36 and 24 is 6.

So, the greatest length possible for each piece is 6m.

#SPJ2

References :-

1. https://brainly.com/question/18401435

Answer:if u need help go to a Psychiatric hospital

Step-by-step explanation:

Answer:

16.7 miles

Step-by-step explanation:

6.7+10=16.7

The two of them ran 16.7 miles.

To determine the number of persons between Anil and Nitu, calculate their absolute positions in the queue. Anil's position is 14 from the front, while Vijay's is 17 from the end. Add their positions, and divide by the total number of persons. Nitu's absolute position is 62, and the total number of persons is 48.

To find out how many persons are there between Anil and Nitu, we need to first determine their positions in the queue.

Given that Anil is fourteenth from the front and Vijay is seventeenth from the end, we can calculate their absolute positions in the queue.

Total number of persons in the queue = 48

Anil's position from the front = 14
Vijay's position from the end = 17

To find their absolute positions, we can add their positions from the front and back respectively:

Anil's absolute position = Anil's position from the front + Total number of persons - 1 = 14 + 48 - 1 = 61
Vijay's absolute position = Vijay's position from the end + Total number of persons - 1 = 17 + 48 - 1 = 64

Since Nitu is exactly between Anil and Vijay, we can find Nitu's absolute position by taking the average of Anil's and Vijay's absolute positions:

Nitu's absolute position = (Anil's absolute position + Vijay's absolute position) / 2 = (61 + 64) / 2 = 125 / 2 = 62.5

Since Nitu's position cannot be a decimal, we round it down to the nearest whole number. Therefore, Nitu's absolute position is 62.

To find the number of persons between Anil and Nitu, we subtract Anil's position from Nitu's position:

Number of persons between Anil and Nitu = Nitu's absolute position - Anil's position = 62 - 14 = 48

Therefore, there are 48 persons between Anil and Nitu in the queue.

To know more about absolute positions Visit:

https://brainly.com/question/30584199

#SPJ11

Answer:

(-4,0)

Step-by-step explanation:

If y=0 that means substitute the y into the top equation as 0. 0=x+4, subtract 4 on both sides. x=-4. Now we know y is 0 and x is -4 so the coordinate point is (-4,0). Hope this helps!

9514 1404 393

Answer:

  x = 38.2

Step-by-step explanation:

Each of the functions of x represents the measure of an angle in the triangle. You write an equation for x by using what you know about the relationships of angles in a triangle: their sum is 180°.

  (2x) +(x -18) +(2x +7) = 180

  5x -11 = 180 . . . . . . . collect terms

  5x = 191 . . . . . . . . . . add 11

  x = 38.2 . . . . . . . . . divide by 5

Answer:

6, 9, 1

Step-by-step explanation:

a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

Answer:

6 and 9

Step-by-step explanation:

I hope this helped!

Using the ratio and proportion method, we can set up a proportion between the height of the trail and the rate of building:

height of trail / rate of building = time to complete trail

We know that the height of the trail is 942 feet, and the rate of building is 6 feet per hour. We can substitute these values into the proportion:

942 / 6 = time to complete trail / 1

Simplifying the left side of the equation, we get:

157 = time to complete trail

Therefore, it will take 157 hours to complete the trail.

To understand why this works, we can think of the ratio between the height of the trail and the rate of building as the number of hours it takes to build one foot of the trail. This ratio is:

height of trail / rate of building = 942 / 6 = 157

So for every 157 hours of work, the workers will have built 942 feet of the trail.

In conclusion, using the ratio and proportion method, we can determine that it will take 157 hours to build each foot of the 942-foot tall trail.

To know more about ratio and proportion refer here :

https://brainly.com/question/26974513#

#SPJ11

Answer:

Yes i agree its 6 lol i just did it in ixl

The distance of the building from the ladder is given by the Pythagoras theorem of right triangle and BC = 6 meters

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ABC

Now , the height of the window = height of triangle AB

Let the base of the triangle be represented as BC

Let the leaning of the ladder be the hypotenuse of the triangle AC

Now , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

10² = 8² + BC²

On simplifying the equation , we get

Subtracting 8² on both sides of the equation , we get

BC² = 10² - 8²

BC² = 100 - 64

BC² = 36

Taking square roots on both sides of the equation , we get

BC = 6 meters

Therefore , the value of BC is 6 meters

Hence , the distance is 6 meters

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Answer:

a

Step-by-step explanation:

Answer:

\(\displaystyle \sin\theta=\frac{12}{13}\)

Step-by-step explanation:

Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:

\(\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\)

We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:

\(a^2+b^2=c^2\)

Let a be the adjacent side and b be the opposite side. c will be the hypotenuse.

Substitute:

\((5)^2+b^2=(13)^2\)

Solve for b:

\(b=\sqrt{169-25}=\sqrt{144}=12\)

So, the opposite side measures 12.

Then sine will be:

\(\displaystyle \sin\theta=\frac{12}{13}\)

The height of the building is approximately 86.60 meters.

To find the height of the building, we can use trigonometric ratios, specifically the tangent function.

In this scenario, the angle of elevation is 60 degrees, and the distance from the foot of the building to the point where the angle is measured is 50 meters.

Let's denote the height of the building as 'h'. According to trigonometry, the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case, the opposite side is the height of the building (h), and the adjacent side is the distance from the foot of the building (50 meters).

Using the tangent function, we have:

tan(60 degrees) = h/50

Simplifying this equation, we can solve for h:

h = 50 × tan(60 degrees)

Using a scientific calculator or trigonometric table, we find that tan(60 degrees) is approximately 1.732.

Therefore, h = 50 × 1.732 ≈ 86.60 meters.

For more questions on height

https://brainly.com/question/31485233
#SPJ8

Answer:

6/13

Step-by-step explanation:

Of the 13 students who do not own a graphing calculator, 6 are girls.  The probability is 6/13.

The distance that measures 7 units is the distance between points L and N.

From the given options, we need to identify the distance that measures 7 units. To determine this, we can compare the distances between points L and M, L and N, M and N, and M on the number line.

Looking at the number line, we can see that the distance between -1 and -8 is 7 units. Therefore, the distance between points L and N measures 7 units.

The other options do not have a distance of 7 units. The distance between points L and M measures 7 units, the distance between points M and N measures 6 units, and the distance between points M and * is 1 unit.

Hence, the correct answer is the distance between points L and N, which measures 7 units.

For more such answers on distance

https://brainly.com/question/30395212

#SPJ8

Answer:

0.20

Step-by-step explanation:

Answer:

Who is gibby

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. If the radius of the sphere is r, what is the height of the cylinder H=4√r

B The volume of the sphere will be V=4πr³

Volume is defined as the space occupied by any object in the three-Dimenions. All three parameters are required for the volume like length, width and height of cube or cuboid.

Here for the part A If the radius of the sphere is r, what is the height of the cylinder the solution will be given as:-

The Volume of sphere = Volume of cylinder

4πr³=(π÷4) r²H

H=16r

H=4√r

Hence the height of the cylinder will be H=4√r

B. The volume of the shapes will be given as:-

(1) Volume of cylinder = (π÷4)r²H

Here r= radius of the cylinder

H = height of the cylinder

(2) The Volume of the Sphere=4πr³

Here r= radius of the cylinder

(3) The Volume of cone=(1÷3)πr³l

Here r = radius of the base

l=slant height of the cone

To know more about Volume follow

https://brainly.com/question/1972490

#SPJ1

Answer:

Step-by-step explanation:

i believe it is c

Answer:

c

Step-by-step explanation: