consider the graph of the function f(x)= 2^x(picture of graph below) -which statement describes a key feature of function g if g(x)= f(x-4) ?a) y-intercept at (0,1)b) horizontal asymptote of y=0c) horizontal asymptote of y=-4d) y-intercept at (0,3)

Answer:

M_ -6f

T_ -4f ( T+W= -2F= 6-2=4 = -4f (changing it the greater change would be -4 cause it is meaning as in it changed from 6 to 4 and it didn't talk about if Sunday to Monday temp was sooo (btw if your teacher takes a quick glance of your hw just write down a correct answer on two questions in bolder pencil to catch her eyes to only that)

Step-by-step explanation:

Yes, the cubic power of an odd integer is odd. So, the following conjecture are

a) False ; 7³ = 342 --> True

b) False ; 9³ = 728 -->True

c) False; 5³ = 126 --> True

We have, some conjecture related to the cubic power of an odd integer is odd.

Odd number : In mathematics, an integer is even if it is a multiple of two, and odd if it is not. Let us consider 2n be a even numbers then , 2n+ 1 must be an odd number.

taking cube power of 2n+ 1 we get,

(2n + 1)³ = (2n)³ + 1³ + 3×2n×1( 2n + 1)

[ Since, (a + b)³ = a³ + b³ + 3ab(a+b), here a = 2n and b = 1]

So, (2n + 1)³= 8n³+ 1 + 6n( 2n + 1)

= 8n³+ 1 + 12n² + 6n = 2n(4n² + 3n + 3) + 1

As we see clearly, first factor is multiple of 2n that is it's even number then (even number + 1 ) implies to an odd number. Thus, the cube power of odd number is again an odd number, i.e 3³ = 27 ; 5³ = 125 ......

a) False ; 7³ = 342 , it is true

b) False ; 9³ = 728 , it is true

c) False; 5³ = 126 , it is also true

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Answer:

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

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

Answer:

2/9

Step-by-step explanation:

set: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 (18 numbers)

factors of 6: 1,2,3,6 (4 numbers)

probabilty that the number is a factor of 6: 4/18 = 2/9

Answer:

y = 4

RS = 35

ST = 26

Step-by-step explanation:

Given:

RS = 8y + 3

ST = 5y + 6

RT = 61

Required:

a. Value of y

b. Numerical lenght of RS and ST

SOLUTION:

a. Points R, S and T are collinear, therefore, based on segment addition postulate, the following equation can be created to find the value of y:

\( RS + ST = RT \)

\( (8y + 3) + (5y + 6) = 61 \) (substitution)

Solve for y

\( 8y + 3 + 5y + 6 = 61 \)

Combine like terms

\( 8y + 5y + 3 + 6 = 61 \)

\( 13y + 9 = 61 \)

Subtract 9 from both sides

\( 13y + 9 - 9 = 61 - 9 \)

\( 13y = 52 \)

Divide both sides by 13

\( \frac{13y}{13} = \frac{52}{13} \)

\( y = 4 \)

b. RS = 8y + 3

Plug in the value of y

RS = 8(4) + 3 = 32 + 3

RS = 35

ST = 5y + 6

Plug in the value of y

ST = 5(4) + 6 = 20 + 6

ST = 26

Answer:

Guy above me is Wrong its 14

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

we want y = mx + b

3y = 2x + 7

-2x = -3y + 7

2x = 3y - 7

the y intercept is the standalone number, ergo -7

Answer:

\(\frac{7}{3}\)

Step-by-step explanation:

Change the equation in slope-intercept form and read out y-intercept.

Slope-Intercept Form

y = mx + b

m ... slope

b ... y-intercept

To change given equation to slope-intercept form we isolate y.

\(3y = 2x + 7\)

Divide both sides with 3.

\(y = \frac{2}{3}x + \frac{7}{3}\)

m = \(\frac{2}{3}\)

b = \(\frac{7}{3}\)

Answer:

65 x 160  / 100 = 104

Step-by-step explanation:

Answer:

List all the factors for 18,15 to find the common factors. The common factors for 18,15 are 1,3 . The GCF for the numerical part is 3 . The factor for k1 is k itself.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since

18

k

,

15

k

3

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for

18

k

,

15

k

3

:

1. Find the GCF for the numerical part

18

,

15

2. Find the GCF for the variable part

k

1

,

k

3

3. Multiply the values together

Find the common factors for the numerical part:

18

,

15

The factors for

18

are

1

,

2

,

3

,

6

,

9

,

18

.

Tap for more steps...

1

,

2

,

3

,

6

,

9

,

18

The factors for

15

are

1

,

3

,

5

,

15

.

Tap for more steps...

1

,

3

,

5

,

15

List all the factors for

18

,

15

to find the common factors.

18

:

1

,

2

,

3

,

6

,

9

,

18

15

:

1

,

3

,

5

,

15

The common factors for

18

,

15

are

1

,

3

.

1

,

3

The GCF for the numerical part is

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

k

,

k

3

The factor for

k

1

is

k

itself.

k

The factors for

k

3

are

k

⋅

k

⋅

k

.

k

⋅

k

⋅

k

List all the factors for

k

1

,

k

3

to find the common factors.

k

1

=

k

k

3

=

k

⋅

k

⋅

k

The common factor for the variables

k

1

,

k

3

is

k

.

k

The GCF for the variable part is

k

.

GCF

Variable

=

k

Multiply the GCF of the numerical part

3

and the GCF of the variable part

k

.

3

k

Answer:

b

Step-by-step explanation:

Answer:

P (4,-4) Q (2,-3) R(5,-2)

Step-by-step explanation:

Any coordinates that is rotated by 180 degrees is going to be opposite of the number, for example 4 will become -4 and -7 will be 7.

(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.

(ii) The axioms of probability are:

the non-negativity (that the probability of an event is greater than or equal to zero), and

the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).

(iii) When two fair dice are thrown the probability of getting:

a) The sum of 9 = 1/9

b) Two odd numbers = 1/4

c) two prime numbers = 1/9

d)  two factors of 12 = 1/9

(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.

To find probability when two dice are thrown, we have:

(a) The sum of 9:

We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways

A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.

(b) Two odd numbers:

We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).

possible outcomes = 9,

So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.

(c) Two prime numbers

We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)

possible outcomes = 4,

So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.

(d) Two factors of 12:

We count the number of ways and divide by the total possible outcomes.

The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways

possible outcomes = 6

Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12

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Answer:

4/10, 6/15, 8/20

Step-by-step explanation:

Answer:

283/10

2830/100

Step-by-step explanation:

..........

Answer:

i  need points

Step-by-step explanation:

i need points ,, hope you find your answer

In a parallelogram, its lines in front will never touch, no matter how long they extend

so

1.

Dont care the values of X and Y because they will never touch

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Solution:

(g o g)(x) = -((-x^2 + 5)^2) + 5

Answer:

(g o g)(x) = -x^4 + 10x^2 - 20

Answer : The number of capfuls of liquid soap needed to fill the rectangular soap dispenser are 12.

Step-by-step explanation :

First we have to calculate the volume of soap dispenser which is a cuboid.

Volume of cuboid = l × b × h

where,

l = length of cuboid = 16 cm

b = width of cuboid = 9 cm

h = height of cuboid = 4 cm

Now put all the given values in the above formula, we get:

Volume of cuboid = 16 cm × 9 cm × 4 cm

Volume of cuboid = 576 cm³

Now we have to calculate the volume of cap which is a cylinder.

Volume of cylinder = π r² h

where,

r = radius of cylinder = 2 cm

h = height of cylinder = 4 cm

Now put all the given values in the above formula, we get:

Volume of cylinder = 3.14 × (2 cm)² × 4 cm

Volume of cylinder = 50.24 cm³

Now we have to calculate the number of capfuls of liquid soap are needed to fill the rectangular soap dispenser.

Number of capfuls of liquid soap needed =  \(\frac{\text{Volume of soap dispenser}}{\text{Volume of cap}}\)

Number of capfuls of liquid soap needed =  \(\frac{576cm^3}{50.24cm^3}\)

Number of capfuls of liquid soap needed = 11.46 ≈ 12

Therefore, the number of capfuls of liquid soap needed to fill the rectangular soap dispenser are 12.

Answer:

26, 28, 30

Step-by-step explanation:

there is a difference of 2 between consecutive even integers

let the integers be n , n + 2 , n + 4 , then

n + n+ 2 = n + 4 + 24

2n + 2 = n + 28 ( subtract n from both sides )

n + 2 = 28 ( subtract 2 from both sides )

n = 26

n + 2 = 26 + 2 = 28

n + 4 = 26 + 4 = 30

the 3 consecutive even integers are 26 , 28 , 30

Answer:

here is ur answer....OPTION "D"

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

7 is the coefficient of X.

Reasoning? The coefficient is the number that comes before a variable. In this case, 7 is the coefficient of x.

And 2 is the coefficient of y.

Answer:

you subtract by 7 everytime

Answer:

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

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.

The value of cos(2α + β) using trigonometric identities is; -1.0155

We are given;

α = sin⁻¹(4/5)

β = tan⁻¹(12/5)

Thus;

sin α = 4/5

tan β = 12/5

From trigonometric ratios, we can say that;

cos α = 3/5

sin β = 12/13

cos β = 5/13

We know from trigonometric identities that  cos (a + b) = cos a cos b - sin a sin b.

Thus;

cos(2α + β) = cos 2α cos β - sin 2α sin β

Thus;

cos(2α + β) = 2(3/5) * (5/13)) - ((2 * 4/5 * 12/13))

= 0.4615 - 1.477

= -1.0155

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Step-by-step explanation:

slndkndjakabssj

pasensya na god bless!!!!

The ramp rises 8.79 inches from the lowest point on the ground to the nearest hundredth.

A right angle triangle has a 90 degree angle as one of its angles. Trigonometric ratios can be used to determine the sides. The length of the fiberboard becomes the hypotenuse of the right triangle that is so constructed. As a result, the ramp rises 8.79 inches from the ground at its tallest point to the closest hundredth.

The opposite side of the right triangle is the height of the ramp that is created.

Hence,

sin 19° = opposite / hypotenuse

sin 19° = h / 27

cross multiply

h = 27 × sin 19°

h = 27 × 0.32556815445

h = 8.79034017034

h = 8.79 inches.

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Answer:

65

Step-by-step explanation:

→ First multiply the whole numbers together

2 × -5 = -10

→ Now multiply -10 by -6.5

-6.5 × -10 = 65

was replaced by "(65/10)

1. 65/10 = 13

—

2

Equation at the end of step:

13

((0 - ——) × 2) × -5

2

Answer = 65

Answer:

The center is ( -2, 7) and the radius is 6

Step-by-step explanation:

A circle is written in the form

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x+2)^2+(y-7)^2=36

(x -  -2)^2+(y-7)^2=6^2

The center is ( -2, 7) and the radius is 6