If you are given the graph of h (x) = log Subscript 6 Baseline x, how could you graph m (x) = log Subscript 6 Baseline (x + 3)?
Translate each point of the graph of h(x) 3 units up.
Translate each point of the graph of h(x) 3 units down.
Translate each point of the graph of h(x) 3 units right.
Translate each point of the graph of h(x) 3 units left.

The problem is based on laws of exponents and answer to this Question is a = 2 and b = 14

What are laws of exponents?

Laws which are used to solve the problems including the exponents are called laws of exponents

Solution:

As we can clearly see in whole expression 2 is present in every term

By laws of Exponents we can take 2 common out and we can easily express this thing in given form that a multiplied 2 rays to power b

When we solve this expression we get

this expression equal to 2^15

which we can write 2×2^14

hence on comparing we get a = 2 and b = 14

To learn more about Exponent laws

https://brainly.com/question/28966438

#SPJ9

Rachel's total income is $13320.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales.

Commission = 9 x 0.04 = $0.36

Commission on 36000 cars = $12960

By working 40 hours he earn = 9 x 40 = $360

Hence, the total income = 360+ 12960 = $13320

Learn more about Unitary method here:

https://brainly.com/question/22056199

#SPJ1

Answer:

11.66

Step-by-step explanation:

10^2 + 6^2 = Z^2

100 + 36 = Z^2

136 = Z^2

sqrt(136) = Z

sqrt 136 = 11.66

the maximum area of such a rectangle will be 144 unit²

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

The area of rectangle is A = a*b

A = 2x*(48-x²) = 96x - 2x³

We are asked to maximize the Area as changes so hopefully, we can identify a critical point of

It an associated with a maximum, So we need to find [tex]\frac{dA}{dx}[/tex] = 0

96 - 6x² = 0

x² =96/6 = 16

x = ±6

So the width = 12

Height = 48 - 36 = 12

So the area = 144 unit²

Hence the maximum area of such a rectangle will be 144 unit²

Learn more about rectangular by following the link below.

brainly.com/question/25292087

#SPJ4

Answer:

90°

Step-by-step explanation:

Note that the sum of the exterior angles of an octagon is 360°. Therefore we can say:

x+2x+3x+4x+5x+7x+8x+10x=360

40x=360

x=9

10x° is the largest exterior angle and x=9, so 10x°=90°

Hope this helps :)

At a standard deviation of $15,000, the probability that the condominium will sell at a price below $200,000 is 0.2525 and above $240,000 is 0.02. At a standard deviation of $20,000, the probability that the condominium will sell at a price below $200,000 is 0.3085 and above $240,000 is 0.0668.

From the given question;

Let the average sale price(μ)=210,000

Standard Deviation(σ)=$15,000

(a) We have to find the probability that the condominium will sell at a price.

(i) below $200,000, i.e. P(x<200,000)

Z=(x−μ)/σ

Z=(200,000−210,000)/15,000

Z= −10,000/15000

Z= −0.67

Now finding P(x<200,000) is same as finding P(Z<−0.67) using the standard table of z.

P(Z<−0.67) = 0.2525

(ii) above $240,000, i.e. P(x>240,000)

Z=(x−μ)/σ

Z=(240,000−210,000)/15,000

Z= 30,000/15000

Z= 2

Now finding P(x>240,000) is same as finding P(Z>2) using the standard table of z.

P(Z>240,000)=P(Z>2)

P(Z>240,000)=1−P(Z<2)

P(z>240,000)=1−0.98

P(z>240,000)=0.02

(b) Now the average sale price(μ)=210,000

Standard Deviation(σ)=$20,000

We have to find the probability that the condominium will sell at a price.

(i) below $200,000, i.e. P(x<200,000)

Z=(x−μ)/σ

Z=(200,000−210,000)/20,000

Z= −10,000/20000

Z= −0.5

Now finding P(x<200,000) is same as finding P(Z<−0.5) using the standard table of z.

P(Z<−0.5) = 0.2085

(ii) above $240,000, i.e. P(x>240,000)

Z=(x−μ)/σ

Z=(240,000−210,000)/20,000

Z= 30,000/20000

Z= 1.5

Now finding P(x>240,000) is same as finding P(Z>1.5) using the standard table of z.

P(Z>240,000)=P(Z>1.5)

P(Z>240,000)=1−P(Z<1.5)

P(z>240,000)=1−0.93319

P(z>240,000)=0.0668

To learn more about probability link is here

brainly.com/question/26836799

#SPJ4

Answer:

Step-by-step explanation:

i think its 1

The median will be greater than 10 and less than 15.

Given,

The mean of the skewed distribution = 15

The mode of the skewed distribution = 10

We have to find the potential range of the median for a positively skewed distribution;

Here,

The empirical relationship between mean, median, and mode for a frequency distribution that is positively skewed is mean > median > mode. Based on this, the range of the median is 15 > median > 10 if the mean is 15 and the mode is 10.

Therefore,

The median will  be higher than 10 and lower than 15.

Learn more about mean, mode and median here;

https://brainly.com/question/17877219

#SPJ4

Answer:

Step-by-step explanation:

x = -9/5 = -1.800 or

x = 0

From the given Venn diagram, the value of  M∩N={4,7}.

A Venn diagram is a prominent diagram type that depicts the logical relationship between sets. It was popularized in the 1880s by John Venn (1834-1923). The diagrams are used to teach elementary set theory and to show simple set relationships in probability, logic, statistics, linguistics, and computer science. To depict sets, a Venn diagram uses basic closed curves drawn on a plane. These curves are almost often circles or ellipses.

Before Venn, similar concepts had been presented. Similar ideas were proposed by Christian Weise in 1712 and Leonhard Euler (Letters to a German Princess) in 1768. Venn popularized the concept in Symbolic Logic, Chapter V "Diagrammatic Representation," 1881.

The intersection of two sets is the set of all the elements that are shared by both.

M={4,7,9,3}

N={4,7,6}

Because M and N share the numbers 4 and 7, M∩N={4,7}.

To know more about Venn diagram, visit:

https://brainly.com/question/29301560

#SPJ9

The equation of the line that passes through the points (4, -8) and (7,-8) is 5.33x + y = 13.22.

What is linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given two points,

(x1 = 4 ,y1 = -8) and (x2 = 7, y2 = -8)

The equation's general form will be written first:

y = mx + c

We may compute the slope of the equation (m) as follows:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{-8-8}{7-4}[/tex]

m = -16/3

m = -5.33

equation is y = -5.33x + c.

By entering the values of the x and y coordinates, we can now determine the value of the y-intercept (c):

For the point (4,-8),

-8 = -5.33(4) + c

-8 = -21.32 + c

c = 13.32

So the equation become ;

y = -5.33x + 13.32

or, 5.33x + y = 13.22

Learn more about linear equation click here:

https://brainly.com/question/1884491

#SPJ4

Answer:

7.9

Step-by-step explanation:

Using the half-life formula, there will be about [tex]30(0.5)^{11000/5730} \approx 7.9[/tex] grams left.

Answer:

Step-by-step explanation:

Ok:

If the two books together costs $28.48 and one of them cost $7.44 Subtract to get the other book's price

2. 28.45-7.44=$21.01

3. Answer: The cost of the other one is $21.01

Answer:

3! = 3*2*1 = 6

Step-by-step explanation:

! is factorial meaning that you multiply that number by all of the number below it

9! = 9*8*7*6*5*4*3*2*1

1011 = 1011*1010*1009*1008...3*2*1

The owner of a landscaping company can determine how much time, on average, his employees spend mowing one lawn by taking hours per lawn.

To learn more about average refer :

https://brainly.com/question/20118982

#SPJ1

The time derivative dp(t)/dt of the x component of the system's total momentum is m₁a₁(t)+m₂a₂(t).

A moving body's motion is measured by its momentum, which is the product of its mass and velocity. The formula for momentum is p=mv. Here, p is momentum, m is mass (in kg), and v is the velocity (m/s).

This equation with respect to time is written as dp(t)/dt. Then, momentum for block 1 is written as,

[tex]\begin{aligned}\frac{dp_1(t)}{dt}&=\frac{d(m_1v_1(t))}{dt}\\&=m_1\frac{dv_1(t)}{dt}\\&=m_1a_1(t)\end{aligned}[/tex]

The momentum for block 2 is written as,

[tex]\begin{aligned}\frac{dp_2(t)}{dt}&=\frac{d(m_2v_2(t))}{dt}\\&=m_2\frac{dv_2(t)}{dt}\\&=m_2a_2(t)\end{aligned}[/tex]

In both equations, the value dv/dt=a with respect to time.

Then, the total momentum is,

[tex]\begin{aligned}\frac{dp(t)}{dt}&=\frac{dp_1(t)}{dt}+\frac{dp_2(t)}{dt}\\&=m_1a_1(t)+m_2a_2(t)\end{aligned}[/tex]

Therefore, the value is m₁a₁(t)+m₂a₂(t).

The complete question is -

In this problem, you will analyze a system composed of two blocks, 1 and 2, of respective masses m1 and m2. To simplify the analysis, we will make several assumptions:

At time t, the x components of the velocity and the acceleration of block 1 are denoted by v1(t) and a1(t). Similarly, the x components of the velocity and acceleration of block 2 are denoted by v2(t)and a2(t). In this problem, you will show that the total momentum of the system is not changed by the presence of internal forces.

Part B

Find the time derivative dp(t)/dt of the x component of the system's total momentum.

To know more about momentum,

https://brainly.com/question/17272991

#SPJ4

Answer:

hi do you mind making the question a bit clear? where is the table?

Step-by-step explanation:

Answer:

Step-by-step explanation:

a(n) = a(1) + (n-1)d

a(n) = -9 + (n-1) x (-6-(-9)

a(n) = -9 + (n-1) x (-6 +9)

a(n)=  -9 + (n-1) x 3

a(n) = -9 + 3n - 3

a(n) = 3n - 12

a(30) = 3 x 30 - 12

a(30) = 90 - 12

a(30) = 78

The third term of the sequence is 3/x+5 when the arithmetic sequence is 1/x+3, 2/x+4,....

Given that,

The first two terms of an arithmetic sequence are given that is

1/x+3, 2/x+4,....

We have to find the third term of this sequence.

We know that,

The arithmetic sequence is the set of terms where the common difference between any two succeeding terms is always the same. Recall the definition of a sequence. A group of integers that follow a pattern is referred to as a sequence.

There are two ways of defining an arithmetic sequence. A "sequence where the differences between each pair of succeeding terms are the same" is what it is. Alternatively, "each term in an arithmetic sequence is obtained by adding a fixed number (positive, negative, or zero) to its preceding term."

The sequence has

n/x+(n+2)

Take n=1 is 1/x+3

Take n=2 is 2/x+4

Take n=3 is 3/x+5

Therefore, The third term of the sequence is 3/x+5 when the arithmetic sequence is 1/x+3, 2/x+4,....

To learn more about sequence visit: https://brainly.com/question/21961097

#SPJ1

Answer:

Step-by-step explanation:

Answer= use 2 eggs per 1 cup of flour to make 1 serving.

Answer:

D. The sixth root of three

Step-by-step explanation:

Translate from words to math symbols:

three to the one third power all over three to the one sixth power

[tex]\frac{3^{\frac{1}{3} } }{3^{\frac{1}{6} } } \\[/tex]

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents:

[tex]\frac{\sqrt[3]{3} }{\sqrt[6]{3} }[/tex]

Simplify:

[tex]\frac{\sqrt[3]{3} }{\sqrt[6]{3} } = \frac{\sqrt[3]{3} }{\sqrt[6]{3} } * \frac{\sqrt[6]{3^{5} } }{\sqrt[6]{3^{5} } } = \frac{\sqrt[3]{3} *\sqrt[6]{3^{5} } }{\sqrt[6]{3^{6} } } = \frac{3^{\frac{1}{3} }*3^{\frac{5}{6} } }{3^{\frac{6}{6} } } = \frac{3^{(\frac{1}{3} +\frac{5}{6} )} }{3} = \frac{3^{(\frac{2}{6} +\frac{5}{6} )} }{3} = \frac{3^{\frac{7}{6} } }{3} = \frac{3^{\frac{1}{6} } *3}{3} = \\\\3^{\frac{1}{6} } = \sqrt[6]{3}[/tex]

Answer:

[tex]\sqrt[6]{3}[/tex]

D. the sixth root of three

Answer:

$722.5

Step-by-step explanation:

Since $225 is 30 students we can do 85/30 and multiply 225 by that.

For the proportion, it would be: 255/30=x/85

85/30=2.8 1/3

2.8 1/3*255=722.5

So it would be $722.5 for 85 students

Answer:

$722.5

Step-by-step explanation:

$255/ 30= 8.5

8.5* 85= $722.5

The sampling technique used in the given scenario is Systematic sampling technique.

Systematic sampling technique

Systematic sampling is a probability sampling technique in which researchers randomly choose individuals of a population at regular intervals. The sampling interval, or fixed periodic interval, is calculated by dividing the population size by the required sample size.

Types of Systematic sampling technique

A systematic sample can be generated in three ways:

Systematic random sampling: The most common type of systematic sampling in which the subject is chosen at a predefined interval.

Linear systematic sampling: Instead of picking the sample interval at random, a skip pattern is constructed by following a linear path.

Circular systematic sampling: It occurs when a sample begins from the same spot where it ends.

To know more about Systematic sampling technique, check out:

https://brainly.com/question/28505229

#SPJ4

The approximate change per day since the lowest price occurred 35 days ago, is a. $2.08.

The approximate average change can be found by the formula :

= ( Current price of stock - Lowest price ) / Number of days since lowest price

Current price of Dagofi Radar stock = $ 130. 58 closing price

Lowest price = $ 57. 71

The approximate average change is:

= ( 130. 58 - 57. 71) / 35

= 72. 87 / 35

= $ 2.08

Find out more on approximate average change at https://brainly.com/question/22409149

#SPJ1

Missing part of question:
Consider today's stock listing for Dagofi Radar, shown below.

52 wk High

52 wk Low

Symbol

Div.

Close

Net Change

162.22

57.71

DFR

9.75

130.58

-2.64

Number of kids ticket is 40

What do you mean by system of linear equation?

A set of two linear equations with two variables is a system of linear equations. There are infinitely many possible solutions to a linear equation with two variables. There can be a single solution to a system of two linear equations with two variables that satisfies both solutions. It is necessary to combine two equations with two variables into one equation with one variable while solving a system of equations.

Total number of tickets = 60

Cost of 1 kid ticket = $3

Cost of 1 adult ticket = $5

Total profit = $220

Let number of kid tickets = x

number of adult tickets = y

According to question:

x + y = 60 ......(1)

3x + 5y = 220 ........(2)

Substitute the value of x from eq(1) to eq(2)

3(60 - y) + 5y = 220

180 - 3y + 5y = 220

180 + 2y = 220

2y = 220 - 180

2y = 40

y = 40/2

y = 20

Substitute this value of y in eq(1)

x + 20 = 60

x = 60 - 20

x = 40

Therefore, number of kids ticket is 40

To learn more about linear equation from the given link.

https://brainly.com/question/2030026

#SPJ4

The expression "(-3 1/4d + 3/5) - (2 7/8d + 7/10) is equivalent to "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

An algebraic expression is a number, variable, or the combination of both and operational symbols.

To determine the equivalent of the expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or simply (-3 1/4d + 3/5) - (2 7/8d + 7/10), combine all like terms and perform the necessary operations.

(-3 1/4d + 3/5) - (2 7/8d + 7/10)

⇒ -3 1/4d + 3/5 - 2 7/8d - 7/10

⇒ (-3 1/4 - 2 7/8)d + 3/5 - 7/10

⇒ (-13/4 - 23/8)d + 6/10 - 7/10

⇒ (-26/8 - 23/8)d - 1/10

⇒ -49/8 d - 1/10

Hence, the equivalent expression is "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

Learn more about algebraic expression here: brainly.com/question/723406

#SPJ4

Consta8of proportionality is 1/9

The 600 chairs capacity of the hall and the arrangement such that an increase in the number of rows by 5 decreases the number of chairs per row by 6 is a word problem that indicates;

(a) There are originally 20 rows of chairs in the hall

(b) The number of empty chairs per row is 6 empty chairs

A word problem is a question in which the information required to find the solution and the description of the situation is provided using sentences, or regular verbal statements rather that symbols, expressions or operators.

(a) The number of chairs the hall can accommodate = 600

Let x represent  the number of rows of chairs, therefore;

The number of chairs per row = 600/x

When the number of rows is increased by and the number of shares per row is decreased by 6, we get;

New number of rows = x + 5

New number of chairs per row = (600/x) -6

The equation for the number of chairs in the hall becomes;

(x + 5) × ((600/x) - 6) = 600

600·x + 6·x² - 570·x - 3000 = 0

6·x² + 30·x - 3000 = 0

x² + 5·x - 500 = 0

(x + 25)·(x - 20) = 0

x = -25 and x = 20

The number of rows is a positive number, therefore;

(b) After re-arrangement, the number of rows, x = 20

The new number of chairs per rows = (600/20) - 6 = 24

The new number of rows = 20 + 5 = 25

Let E represent the number of empty chairs, the number of people in each row becomes 24 - E, which indicates;

25 × (24 - E) = 450

450 ÷ 25 = 18 = 24 - E

E = 24 - 18 = 6

The number of empty chairs per row, E = 6

Learn more about word problems here:

https://brainly.com/question/13818690

#SPJ1

The quadratic function which models the motion of the penny is

h(t) = -4.9t² -0.327761 t + 52.6  

and the maximum height reached is 57.43

h(t) = - 0.5gt² + vt + h

g = 9.8 m/s²

h = 52.6 m

v = ?

For v,

h(t) = -0.5gt² + vt + 52.6

h(t) = - 4.9t² + vt + 52.6

Time when penny hits the ground ; t = 3.31

h(3.31) = 0

0 = -4.9(3.31)² + v(3.31) + 52.6

0 = -53.68489 + 3.31v +52.6

3.31v = -1.08489

v = -1.08489/3.31

v = -0.327761 m/s

Therefore,

h(t) = -4.9t² -0.327761 t + 52.6

2.) Maximum height of the penny above the ground

t = 0.85 seconds

h(0.85) = -4.9(0.85^2)-0.327761 (0.85) + 52.6

Maximum height reached =  57.43 meters

Therefore, the maximum height reached is 57.43 meters.

An object changing its position with regard to time is referred to as motion. Motion is mathematically characterised in terms of displacement, distance, velocity, acceleration, and speed as well as the observer's frame of reference and the measurement of the change in the body's position with respect to that frame over time. Kinematics is the area of physics that studies how motion is affected by forces, whereas dynamics is the area that studies how motion is affected by forces.

To learn more about motions

https://brainly.com/question/18980389

#SPJ4

The minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738

A company's unit cost is the cost of producing, storing, and selling one unit of a specific product. Unit costs encompass all fixed and variable production costs. A cost unit is a quantity measuring unit for a product or service.

A unit cost is the overall cost incurred by a business to manufacture, store, and sell one unit of a specific product or service. Unit costs are the same as cost of goods sold (COGS). This accounting metric incorporates all fixed and variable expenses related with the manufacture of a good or service.

Given,

C(x)=1.2x²-600x+82,738

Minimum value [tex]C_{min}[/tex]=c-(b²/4a)

Where a=1.2, b=-600, c=82738

[tex]C(x)_{min}[/tex]=82738-((-600)²/4(1.2))

=82738-(360000/4.8)

=7738

Therefore, the minimum unit cost is 7738.

Hence, the minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738

To know more about variable cost, visit:

https://brainly.com/question/15358722

#SPJ1