Use the graph of the exponential growth function

f(x) = a(2x) to determine which statement is true.


f(0) = 2 when a = One-half.

f(0) = 3 when a = 3.

f(1) = 9 when a = 9.

The values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .

When a Triangle is a right angled Triangle then the ratios used to determine the sides and the angles of the triangle are called Trigonometric Ratio.

It is given that in triangle EFG , right angled at F ,

EG = 8 , FG = 2

By Pythagoras theorem

The length of EF is

8² = 2² + EF²

EF = √(64-4) = √60 = 2√15

The value of the trigonometric ratios is

sin E = Perpendicular / Hypotenuse

sin E = 2 / 8 = 1/4

sin G =  2√15 / 8 = √15 / 4

sec G = 1 / cos G = Hypotenuse / Base = 8 / 2 = 4

Therefore the values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .

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Answer:

[tex]\boxed {A) m < CVB}[/tex]

Step-by-step explanation:

If C is a point inside ∠AVB, then :

⇒ m ∠AVC + m ∠CVB = m ∠AVB

Answer:

52cm, based on my understanding of the question.

Step-by-step explanation:

See attached image.  Please confirm my understanding of the question.

Answer:

Part A = 36z² - 9z + 8

Part B = 5z³ + 4z² + 16z - 23

Part c = Yes.

Step-by-step explanation:

Polynomials : Polynomials are algebraic expressions that consist of variables and coefficients.

Trapezium: A trapezium is a convex quadrilateral with exactly one pair of opposite sides parallel to each other.

Given the length of sides :

Side 1: 11z² - 4z + 2

Side 2: -2z + 3 + 12z²

Side 3: 3 - 3z + 13z²

and The perimeter of the trapezoid is 5z³ + 40z² + 7z - 15.

PART A:

The total length of sides 1, 2, and 3 of the trapezoid is obtained by the sum of the trapezoid :

11z² - 4z + 2 + (-2z + 3 + 12z²) + 3 - 3z + 13z²

11z² - 4z + 2 - 2z + 3 + 12z² + 3 - 3z + 13z²

36z² - 9z + 8

PART B:

The length of the fourth side of the trapezoid is given by the difference between the perimeter of the trapezoid and the sum of  length of sides 1, 2, and 3.

5z³ + 40z² + 7z - 15 - 36z² + 9z - 8

5z³ + 4z² + 16z - 23

PART C:

From part A, we can see that the addition of polynomials results in a polynomial.

Likewise, the subtraction of polynomials results in a polynomial.

Therefore, we can say that the polynomials are closed under addition and subtraction.

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An expression is defined as a set of numbers, variables, and mathematical operations. The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is 21.

The correct question is:

Evaluate the value of f³+11g-4h, where the value of f is 3, the value of g is 2 and the value of h is 7.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is,

f³+11g-4h

= (3)³ + 11(2) - 4(7)

= 27 + 22 - 28

= 21

Hence, The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is 21.

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Answer:

21

Step-by-step explanation:

Answer:

x = 90

Step-by-step explanation:

The other unlabled angle in the triangle forms a 180 degree angle with 130 degrees (because they make a straight line). So it can be found by subtracting 130 from 180, which equals 50.

The sum of all the angles in a triangle is 180.

180 - 50 - 40 = x

90 = x

Hello! My name is Galaxy and I'll be helping you solve this problem. We can split this problem into two steps. Them being Theory and Solving.

I'll go ahead and start with the Theory.

We can start off by looking at the image you've provided, we can see a triangle that has 2 angles given of a triangle, and an exterior angle of the triangle.

This being said, we can apply the Exterior Angle Theorem.

We can now begin to solve for the missing angle.

We can begin to solve by using our given angles to find the third angle.

According to the Exterior Angle Theorem, we know that the unknown angle along with the [tex]40[/tex]° angle must add up to the [tex]130[/tex]° angle.

Therefore, we can solve for [tex]x[/tex],

[tex]x+40=130\\x=130-40\\x=90[/tex]

After this, we know that angle [tex]x[/tex] is equal to 90°.

Cheers,

Galaxy

After 3 months memberships will cost the same.

We have,

Cost of Membership of 1st gym = $ 10  per month

And, the Cost of the sign-up fee for 1st gym = $ 45

And,

Cost of Membership of  2nd gym =  $ 25 per month

And, the Cost of the sign-up fee of the 2nd gym = $ 0

Now,

Let the number of months = m

So,

According to the question;

45 + 10m = 25m

⇒

25m - 10m = 45

15m = 45

m=3

So, After 3 months memberships will cost the same.

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Answer:

slope intercept form

Step-by-step explanation:

y=mx+b is slope-intercept form

I hope this helps :)

Answer:

2,

Step-by-step explanation:

The vertex is the very highest or very lowest point. X coordinates are listed first, then Y.

Answer:

B, D

Explanation:

8(-10x+3.5y-7)

= -80x + 28y - 56

4 (-20x + 7y - 14)

= 8(-10x+3.5y-7)

= -80x + 28y - 56

Answer:

B) -80x + 28y - 56

D) 4 (-20x + 7y - 14)

Original Expression:

⇒ 8(-10x+3.5y-7)

⇒ -80x + 28y - 56

Now confirmed that option B is correct when the expression is simplified which makes option A and C not applicable.

For option D:

⇒ 4 (-20x + 7y - 14)

⇒ -80x + 28y - 56

Option E is not correct as:

⇒ -4 (-20x + 7y - 14)

⇒ 80x - 28y + 56

The output light frequency of the material used before doubling will be 0.056 Hz.

Frequency is defined as the number of repetitions of a wave occurring waves in 1 second.

Frequency is given by the formula as,

[tex]\rm v = \lambda \times f \\\\\ \rm f = \frac{v}{\lambda} \\\\ \rm f = \frac{3 \times 10^8}{532 \times 10^-9} \\\\ \rm f = 3 \times 10^{12} \\\\ f= 0.056 \ Hz[/tex]

Hence the output light frequency of the material used before doubling will be 0.056 Hz.

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Answer:

in picture

Step-by-step explanation:

added in the picture

Answer:

this is what i got

The functions differ from functions that I have used in algebra in the past as the functions can be combined and are more about rotation rather than where they move.

It should be noted that a function simply means an equation where the x that is plugged into the equation will yield exactly on e y from the equation.

In this case, the functions differ from functions that I have used in algebra in the past as the functions can be combined and are more about rotation rather than where they move.

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Yes, the triangles are congruent if AB ≅ DE.

Criteria for the Congruency of two Triangles

If two triangles share the same sides and angles, they are said to be congruent triangles.

Triangles are tested for congruence using the following 4 criteria:

1) Angle-side-angle(ASA): Two angles and a side of a triangle are congruent if they are equal to two angles and the corresponding side of another triangle.

2) Side-side-side(SSS): Two triangles make congruent triangles if all three sides of one triangle are equal to three sides of another.

3) Side angle side(SAS): A triangle is congruent if its two sides and any included angles are equivalent to those of another triangle's two sides and corresponding angle.

4) Hypotenuse - leg(HL): If a triangle's hypotenuse and one of its legs are equal, then the triangle's hypotenuse and leg are also equal.

Checking for Congruency in the Given Triangles

ΔDEF and ABC have a equal angles, ∠F=∠B, as well as a pair of equal sides,  DF = AC.

Thus, in order to satisfy the SAS criterion of congruent triangles, AB = DE

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Answer:

(D) no, because the hypotenuses must have different lengths

Step-by-step explanation:

Answer: C & D

Step-by-step explanation: Ro 270, Ro -90

Answer:

145

Step-by-step explanation:

mutiply each 6 and 7 twice and add 7x7 from the bottom

Answer:

(3x^2 - 1) * (4x - 3)

Step-by-step explanation:

Answer:

[tex]( {3x}^{2} - 1)(4x - 3) \\ [/tex]

Using a linear function, it is found that the costs are given as follows:

A linear function is modeled by:

y = mx + b

In which:

Considering the price of admission and the price per ride, the y-intercept is of 20 and the slope is of 4, the cost for r rides is given by:

C(r) = 20 + 4r.

Hence, for 6 rides, the cost is given by:

C(6) = 20 + 4 x 6 = $44.

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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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An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The value of the given series is 240.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

The value of [tex]\log_{a^{\frac12}}(a)[/tex] will be equal to 2. Therefore, the series will become,

series = 2 + 4 + 6 + 8 + 10 + 12 + .... + 30

Now, as it can be observed that the given series is an arithmetic series, therefore, the number of terms in the series are,

30 = 2 + (n-1)1

28 = (n - 1)2

n - 1 = 14

n = 15

Further, the sum of the of the series will be,

sum = (15/2)[2(2) + (15-1)2]

sum = (15/2) [4 + 28]

sum = 240

Hence, the value of the given series is 240.

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The answer will be 81.

Step-by-step explanation:

just multiple by 3

Answer:

81

Step-by-step explanation:

the people told secrion has a sequence of multiplyung by 3 if you continue the sequence you will get to 81

Answer:

11

Step-by-step explanation:

Answer:

84/5 should be the answer

Step-by-step explanation:

cross multiply

Step-by-step explanation:

y = 25 + 15.5x

it's $25 plus the number of nights times $15.5 per night

Answer:

Midpoint is the average of the two points. Find it as follows:

Functions which are polynomials are y=[tex]5x^{4} +x^{2} -8[/tex] ,y=[tex]7x^{3}[/tex] and y=[tex]6^{x}[/tex]

Given Functions : 1) y=[tex]-x^{2} +1/1-2x[/tex] 2)y=[tex]5x^{4} +x^{2} -8[/tex]. 3) y=[tex]7x^{3}[/tex]and g(x)=[tex]6^{x}[/tex].

We need to find which functions are polynomials. We know that polynomials is an expression consisting of indeterminates and coefficients that involves only the operations of addition, subtraction, multiplication and non negative integers .

First function is y=[tex]-x^{2} +1/1-2x[/tex]

The above function is not a polynomial because it has not a variable containing power in whole number and it is in fraction form. Two different polynomials can form numerator and denominator in a fraction.

Second function is y=[tex]5x^{4} +x^{2} -8[/tex]

The above function is a polynomial as it has a variable having power and it is not in fraction also.

Third function is  y=[tex]7x^{3}[/tex]

The above function is also a polynomial for the same reason.

Fourth function is g(x)=[tex]6^{x}[/tex].

The above function is also a polynomial.

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By the fact that the sum of internal angles in a triangle and the law of the cosines, the possible lengths of the side EF are represented by 16 ≤ EF ≤ 900.

In this question we have a triangle with two known lengths and there many possible solutions for the length of the segment EF. By geometry we know that the sum of the internal angles in a triangle equals 180° and by the law of cosines we have the following expression for the missing length:

EF² = 17² + 13² - 2 · (13) · (17) · cos D

EF² = 458 - 442 · cos D, 0 ≤ θ ≤ 180°

As the cosine is a function bounded between - 1 and 1, then the possible lengths of the side EF are:

16 ≤ EF ≤ 900

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