help!! please and thanks!

The equation is shown in the graph as (C) g(x) = (1/7)^x - 4.

A relationship between two terms on either side of an equal sign is described by a straightforward equation.

Additionally, addition, basic arithmetic, multiplication, and division are one or more of the four arithmetic calculations that simple equations undertake.

The system of equations can be expressed in three different ways: in point-slope form, standard form, and slope-intercept form.

So, the parent function is therefore known to be:

f(x) = (1/7)^x

Observe that the y-intercept results from evaluating this in zero:

f(0) = (1/7)^0 = 1

The graph's y-intercept is located at y = -3.

As a result, the function was translated downward by 4 units, bringing it to a point 4 units below the y-intercept of the parent function.

Thus, the graphed function is as follows:

g(x) = f(x) - 4

g(x) = (1/7)^x - 4

Therefore, the equation is shown in the graph as (C) g(x) = (1/7)^x - 4.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ4

Complete question:
What is the equation of the function shown in the graph, given that the equation of the parent function is f(x)=(1/7)^x ?

A. g(x)=(1/7)^x−3

B. g(x)=(1/7)^x−2

C. g(x)=(1/7)^x−4

D. g(x)=(1/7)^x+3

The scientific notation is  [tex]1.45*10^{11}[/tex]

Scientific notation is a way to present extremely large or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper. Additionally, a simpler method of representation was required for the numbers that appear at the millions place after the decimal. This makes it challenging to represent a small number of integers in their enlarged form. We, therefore, employ scientific notations.

We need to move the decimal point 11 places to the left therefore the exponent for the 10s term will be positive:

[tex]145,000,000,000=145,000,000,000.0=1.45*10^{11}[/tex]

To learn more about scientific notation visit: brainly.com/question/18073768

#SPJ4

Consequently, we deduce that the typical output voltage is under 130.

In statistics, the standard deviation measures how widely distributed or how much a bunch of values can vary. While a big standard deviation shows that values are scattered throughout a wider range, a low standard deviation suggests that values are frequently close to the set's mean.

Here,

A defined output voltage of 130 is offered for an electrical circuit.

The voltage for this circuit was measured 40 times independently, with a sample mean of 128.6 and a standard deviation of 2.1.

Let's say the average output voltage.

Null Hypothesis, [tex]H_{0}[/tex]:  = 130 denotes that the average output voltage is 130.

A Different Hypothesis, [tex]H_{A}[/tex] :  < 130  ( it indicates that the average output voltage is below 130.)

One-sample t test statistics will be employed in this case because we are unsure about the population standard deviation;

            T.S.  =   ~ [tex]\frac{X^{'}-u }{\frac{s}{\sqrt{n} } }[/tex]

In this case, sample mean output voltage equals 128.6

Sample standard deviation equals 2.1, or s.

n = 40 for the sample of independent readers.

Thus, test statistics equal.

So, test statistics  =    ~[tex]\frac{128.6-130 }{\frac{2.1}{\sqrt{40} } }[/tex]

                              =  -4.216

Now, for a left-tailed test with a 0.05 level of significance, the t table provides a critical value of -1.685 at 39 degrees of freedom. We have enough data to reject our null hypothesis because it will fall in the rejection region because our test statistics are smaller than the crucial value of t, which is -4.216 -1.685.

Consequently, we deduce that the typical output voltage is under 130.

To know more about  standard deviation , visit

https://brainly.com/question/23907081

#SPJ4

ΔADE is congruent to ΔCDE if AD≅DC and ∠ADB≅CDB.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given that AD≅DC and ∠ADB≅CDB.

We need to prove that ΔADE≅ΔCDE

AB≅BC congruent sides.

AD≅DC congruent sides.

ΔABC≅ΔADC are similar triangles.

ΔABD≅ΔCBD are similar triangles.

ΔADE≅ΔCDE are congruent triangles and similar.

Hence, if triangles ∠ADB≅CDB and AD≅DC then ΔADE≅ΔCDE.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

Answer:

The System of inequalities shown is C.

1) The percentage of the products last between 9 and 15 days is 68.26%.

2)The percent of the products last between 12 and 15 days is 34.13%.

3) The percentage of the people in line waited for more than 28 minutes 2.28%.

4) The percentage of the people wait for less than 16 minutes 15.87%

Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

What is the number whose 20% is 150?

20% of 150 is 30.

1) µ = 12

sd = 3

a) P(9<X<15)=P

(\frac{9-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{15-\mu}{\sigma})

9-12\sP(\s15\s12

= P(-1 < Z < 1)

= P(Z < 1) - P(Z < -1)

= 0.8413 - 0.1587

= 0.6826

= 68.26%

b) P(12<X<15)=P

(\frac{12-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{15-\mu}{\sigma})

12 - 12\sP(\s15\s12

= P(0 < Z < 1)

= P(Z < 1) - P(Z < 0)

= 0.8413 - 0.5

= 0.3413

= 34.13%

c) P(X6) = P(frac X-mu sigma frac 6 mu sigma)

=P(Z<\frac{6-12}{3})

= P(Z < -2)

= 0.0228

= 2.28%

d) P(X>15)=P(frac X–mu–sigma>frac X–mu–sigma)

=P(Z>\frac{15-12}{3})

= P(Z > 1)

= 1 - P(Z < 1)

= 1 - 0.8413

= 0.1587

= 15.87%

In order to learn more about percentage visit:

https://brainly.com/question/29306119

#SPJ4

Answer:

Step-by-step explanation:i think she multiplyed 9x4 and got36. The next thing she did is added 3 i don’t know the rest for this

The inverse of a function is f^-1(x) = 3(x + 17)/2 and f^-1(x) = x + 10

What is function ?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).

An example of a rule is a function, which produces one output for a single input. Alex Federspiel is the picture's author. Y=X2 is an illustration of this. You only get one output for y if you enter anything for x. The fact that x is the input value leads us to say that y is a function of x.

Functions can be roughly categorized into four sorts. based on the element Numerous to one function, onto function, one to one and onto function, into function.

1.f(x) = 2x/3 - 17

Finding the inverse

y = f(x)

  = 2x / 3 - 17

Exchange the variables, x for y and y for x

x = 2y / 3 - 17

Isolate the variable y

Adds 17 both sides

x + 17 = 2y / 3

Multiply by 3 both sides

3(x+17) = 2y

Divide by 2 both sides

y = 3(x + 17)/2

let f^-1(x) = y

f^-1(x) = 3(x + 17)/2

2. f(x) = x - 10

Finding the inverse

y = f(x)

  = x - 10

Exchange the variables, x for y and y for x

x = y - 10

Isolate the variable y

Adds 10 both sides

y = x + 10

Multiply by 3 both sides

3(x+17) = 2y

let f^-1(x) = y

f^-1(x) = x + 10

To learn more about function from the given link  

https://brainly.com/question/12775625

#SPJ1

Answer: The correct answer is C

Step-by-step explanation: Let's find each equation without any inequalities first. We have a dotted line at y = 1, so we can already remove A and B. Now, a dotted line represents exclusivity and hence; it should not include the = sign.

The amount that store earns is $120. By writing the equation for the given payment of the computer by Rudo, we get the required value.

It is given that, Rudo buys a computer for $920. This is 115% of what the store paid for the same computer.

So, consider the amount paid by the store for the same computer as 'x'.

Then, from the given information we can write that,

$920 = 115% of x

⇒ 920 = 0.15x

⇒ x = 920/0.15 = 800

So, the amount paid by the store for the same computer is $800

Thus, the amount earned by the store on the sale is $920 - $800 = $120.

Learn more about the selling price here:

https://brainly.com/question/26008313

#SPJ1

If Marcus monthly salary is $1,500 plus 10% of sale, then he could earn 1500 + 0.09x per month with salary and 9% sales

Monthly salary of Marcus = $1500

The percentage incentives for sales = 10%

If the percentage of incentive for sales is 9 %

Consider the amount of sales is $x

Therefore the monthly salary of Marcus = Monthly salary of Marcus + (The amount of sales × 9/100)

Substitute the values in the equation

The monthly salary of Marcus = 1500 + (x×9/100)

Divide the numbers in the equation

= 1500 + (x × 0.09)

Multiply the numbers the numbers

= 1500 + 0.09x

Therefore, the monthly salary of Marcus will be 1500 + 0.09x

Learn more about percentage here

brainly.com/question/12715980

#SPJ4

The parametric equations of y = 6x -1  are [x = t, y = 6t - 1].

Parametric equations divide an equation into two or more equations, depending upon the variables in the original equation, both dependent and independent.

In parametric equations we mostly use t as an independent variable and write all equations in terms of t.

To convert a rectangular equation in its parametric representation, the easiest way to do is to equate x with the variable t in the original equation. Now, our x is equal to t. Hence, the final answer is  [x = t, y = 6t - 1].

To learn more about parametric equations visit the link below:

https://brainly.com/question/28537985

#SBJ4

The domain of the given function is (-∞, ∞), the rage of the function is (-∞, 1).

What is a function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The lowest to highest value of x-coordinate is the domain of the function.

The lowest to highest value of y-coordinate is the range of the function.

The highest point of the function is (2.5, 1).

The highest value of y-coordinate is 1.

Since the graph function can be expended to infinity, the lowest value of y-coordinate is -∞.

The range of the function is (-∞, 1).

Both ends of graph can be extended -∞ to ∞ for x-coordinate.

The domain of the function is (-∞, ∞).

To learn more domain and range, click on below link:

https://brainly.com/question/27242650

#SPJ1

(a) Area to the left of 24 is 0.6683.

(b) Area to the left of 17 is 0.284.

(c) Area to the right of 19 is 0.5028.

(d) Area to the right of 25 is 0.1019.

(e) Area between 17 and 30 is 0.0884.

We have given that a variable is normally distributed with mean 21 and standard deviation 7.

(a) We have to find area to the left of 24.

We will use z-formula

i.e Z = (X - μ) / σ

where X is the row score, μ is mean and σ is standard deviation.

Substituting the values we get,

Z = (24 - 21)/ 7

  = 3/7

Z = 0.4285

The p-value for 0.4285 is 0.6683.

Therefore area to the left of 24 is 0.6683.

(b) Now to find area to the left of 17,

Z =(17 - 21)/7

   = - 4/7

Z = -0.5714

The p-value for -0.5714 is  0.284.

The area to the left of 17 is 0.284

(c) To find the area of the the right of 19,

Z = (19 - 21)/ 7

   = -2/7

Z = -0.007

P-value for -0.007 is 0.4972

Area of the right of 19 is , 1 - 0.4972 = 0.5028

(d) The area of the right of 25 is,

Z = (25 - 24)/7

  = 1/7

Z = 0.1428

The p-value for 0.128 is 0.8981.

Area right of 25 is 1 - 0.8981 = 0.1019.

(e) To find area between 17 and 30 first we will find area of 17 and 30 individually.

We know area of 17 is 0.284.

Now area of 30,

Z = (30 - 24)/7

  = 6/7

Z = 0.8571.

P-value for 0.8571 is 0.1956.

Area between 17 and 30 is,

0.284-0.1956 = 0.0884.

To know more about area here

https://brainly.com/question/23118485

#SPJ4

If they keep running at the same pace, they will eventually meet at the same end of the course after 30 minutes.

The rate at which distance and time change is what is meant by speed. It has the aspect of temporal and spatial distance. The basic unit of distance with the basic unit of time are combined to form the SI unit of speed. This means that the SI unit of speed is the metre per second.

The way that the issue is described is vague.

I believe what is being said here is that they continue to jog at the same speed.

Half a mile per ten minutes is Diane's speed.

2/3 miles per 10 minutes is Jack's speed.

The numerator and denominator (top and bottom of the ratio) must be multiplied by the factor between 10 minutes and an hour (60 minutes) in order to convert this to a standard miles per hour format.

60/10 = 6.

In order to convert the above speeds to miles per hour, we must multiply both speeds by 6.

Diane: (1/3 divided by 6)/hour equals 2 miles/hour

Jack: (4 miles per hour) = (2/3 x 6) / hour

Diane will complete one length in the time it takes Jack to complete a round trip (back) because he runs twice as fast as she does.

Running a mile at a speed of two miles per hour takes Diane 30 minutes.

Running 2 miles (back and forth) at a speed of 4 miles per hour will take Jack 30 minutes.

So after 30 minutes they will meet again at his starting point.

To know more about speed visit:-

https://brainly.com/question/2004627

#SPJ1

Answer:

-10/8x-6/8

Step-by-step explanation:

Answer: -1.25x-0.75 or 1/4*(-5x-3)

Step-by-step explanation:

The first answer is converting the original expression into decimals (0.75 = 1/4). The second answer is factoring 1/4 out of the original expression (dividing each term by 1/4).

Answer:

Step-by-step explanation:

-Start by distributing the 2, -2(3m+1/2).

-Getting -6m-1, your equation should look like -40-6m-1=7m-2

-Combine -40 and -1 to get -41, and then add the -6m to the other side.

-The equation should look like -41=13m-2. Add the 2 to the -41 to get -39.

-Now, we have -39=13m. divide both sides by 13 to get m=-3.

In 12 years the two trees will be at the same height of 120 inches for the given condition of the equation.

What is an equation?

A mathematical statement called an equation demonstrates the equality of two mathematical expressions.

Based on the given condition of a question,

Let X be the required time duration, and then the equation will be

or, (48+6X)=(72+4X)

or, 48+6X=72+4X

or, 6X-4X=72-48

or, 2X=24

or, X=24/2

or, X=12 year

And height = 48 + 6*12 = 48 + 72 = 120 inches

Hence, In 12 years the two trees will be at the same height of 120 inches.

To learn more about an equation

https://brainly.com/question/24739899

#SPJ1

All three statement parametric equation are true so option D. all three are true is the correct option of the given statement.

In parametric form, the x and y coordinates are defined as functions of t, which represent angles in this form: x = r cos t and y = r sin t, and so map the whole circle. These parametric equations are known as polar equations.

The position of a point on a Ferris wheel, for instance, can be represented graphically using parametric equations. The parametric equations can be used to model every aspect, including height above the ground, spin direction, and speed.

To know more about parametric equation visit:

https://brainly.com/question/28537985

#SPJ4

Answer:

x = pm - pn

Step-by-step explanation:

m = n + [tex]\frac{x}{p}[/tex]  Subtract n from both sides

m - n = n - n + [tex]\frac{x}{p}[/tex]

m-n = [tex]\frac{x}{p}[/tex]   Multiply both sides by p

p(m - n) = ([tex]\frac{p}{1}[/tex]) [tex]\frac{x}{p}[/tex]          [tex]\frac{p}{1}[/tex] means the same as p

pm - pn = x             Distribute the p

x = pm - pn

It has been proved that △ABC is congruent to △CBD (△ABC ≅ △CBD) under the SAS condition.

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Two triangles are said to be congruent if all the sides of a triangle are equal to all the corresponding sides of another triangle.

So, we have:

AC⊥BD and BD bisect AC

We have to prove:

△ABC ≅ △CBD

∠ADB = ∠CDB (Given: AC⊥BD)

BD = BD (Common side)

AD = CD (BD bisect AC)

So, △ABC ≅ △CBD under SAS condition.

Therefore, it has been proved that △ABC is congruent to △CBD (△ABC ≅ △CBD) under the SAS condition.

Know more about the congruency of the triangle here:

https://brainly.com/question/29003974

#SPJ4

Complete question:
Given: \overline{AC} \perp \overline{BD} AC ⊥ BD and \overline{BD} BD bisects \overline{AC}. AC. Prove \triangle ABD \cong \triangle CBD△ABD≅△CBD.

The rate at which the diameter decreases is  -0.16cm/min

Diameter:

In geometry, diameter refers the straight line that goes from one side to the other side of a circle, passing through the center.

Given,

Here we need to find if a snowball melts so that its surface area decreases at a rate of 1cm^2/min, find the rate at which the diameter decreases when the diameter is 10 cm. Finish solving the problem. Write an equation that relates the quantities.

Here  we obtained the equation that relates the surface area S and the diameter D of a sphere given by

=> S = πD²

Now, we have differentiate the equation as,

=> dS/dt = d/dt (πD²)

=> dS/dt = π d/dt (D²)

​=> dS/dt = 2πD dD/dt

Now, Solving for dD/dt, which is the unknown for this problem, we have

=> dD/dt ​= 1/2πD​ x dS​/dt

Now, substituting the given values, the rate of change of the diameter when D=10 cm and dS/dt as (-1) is

=> dD/dt = 1/2 x π x 10 (-1)

=> dD/dt = -1/20π

=> dD/dt = -0.16cm/min

To know more about Diameter here.

https://brainly.com/question/5501950

#SPJ4

The initial value for the equation, -12x - 10y = -50, is: 5.

The initial value of a linear equation is also known as the y-intercept of the  equation. Th equation in slope-intercept form can be expressed as y = mx + b, where the initial value of the equation is represented as the value of b, while m is the slope.

Given the linear equation, -12x - 10y = -50, in standard form, to find the initial value, b, we have to rewrite the equation in slope-intercept form:

-12x - 10y = -50

Add 12x to both sides of the equations:

-10y = 12x - 50 [addition property of equality]

Divide both sides by -10

-10y/-10 = 12x/-10 - 50/-10 [division property of equality]

y = -6/5x + 5

Thus, the initial value of the y-intercept of the equation is: 5.

Learn more about the initial value of linear equation on:

https://brainly.com/question/10155554

#SPJ1

Answer:

n + 6 = 13

Step-by-step explanation:

let n be the number, then increasing by 6 means adding 6 to it , so

n + 6 = 13 ← linear equation

Answer: 200

Step-by-step explanation: first we will turn this into an equation

x/5=40, then we need to isolate the variable by multiplying both sides by 5.

x = 200

Answer:

ST = 2.6

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{ST}{PQ}[/tex] = [tex]\frac{SU}{PR}[/tex] ( substitute values )

[tex]\frac{ST}{18}[/tex] = [tex]\frac{5.2}{36}[/tex] ( cross- multiply )

36 × ST = 18 × 5.2 = 93.6 ( divide both sides by 36 )

ST = 2.6

The facility's approximate cost of early turnover for this year is $45000.

The cost of turnover is the cost associated with turning over one position. This calculation includes the cost of hiring for that position, training the new employee, any severance or bonus packages, and managing the role when it is not filled. Every company will experience some turnover.

Turnover cost refers to expense both tangible or intangible associated with replacing an employee. It is extremely high: it's estimated that losing an employee can cost a company 1.5-2 times the employee's salary.

Shift A has number of associated leaving the facility within 90 days is 8, per associated cost is $3000 and total cost is $24000.

Shift B  has number of associated leaving the facility within 90 days is 5, per associated cost is $3000 and total cost is $15000.

Shift C  has number of associated leaving the facility within 90 days is 2, per associated cost is $3000 and total cost is $6000.

Shift D  has number of associated leaving the facility within 90 days is 0, per associated cost is $3000 and total cost is $30.

Therefore

Total cost = $24000 + $3000 + $6000

Total cost = $45000

Hence the facility's approximate cost of early turnover for this year is $45000.

To know more about cost here

https://brainly.com/question/29705008

#SPJ4

The value of x in the given ratio is 2.

The relationship in quantity, amount, or size between two or more things.

Given is a ratio, x:5/2 = 8:10

x/5/2= 8/10

2x/5 = 8/10

2x = 40/10

2x = 4

x = 2

Hence, The value of x in the given ratio is 2.

For more references on ratios, click;

https://brainly.com/question/13419413

#SPJ1