The scores on the last math quiz are summarized in the following frequency table:
Score
10 9
8
7
6
4 3 2 1 0
7
5
3 2
1
0
0
10
0
Frequency 6
The information is then put into the following histogram:
Frequency
5
4
3
210
1 2 3 4 5 6 7 8 9 10
5
1
Score

The valuation of the notes in a years is given as follows:

y = 200(0.00000006)^a.

The yearly inflation rate is of:

1,666,666,667%

The valuation changed by a percentage in a period of time, hence an exponential function is used to model the situation.

An exponential function is defined as follows:

y = a(b)^x.

For which the parameters are given as follows:

The initial valuation is of $200, hence the parameter a is given as follows:

a = 200.

Thus the function should be modeled as follows:

[tex]y = 200(b)^a[/tex]

In which a is the time in years.

In one month, the amount decayed to $50. One month is 1/12 of a year, as one year is composed by 12 months, hence the parameter b is obtained as follows:

[tex]50 = 200(b)^{\frac{1}{12}}[/tex]

[tex](b)^{\frac{1}{12}} = \frac{50}{200}[/tex]

[tex](b)^{\frac{1}{12}} = \frac{1}{4}[/tex]

Elevating both sides to 12, we have that:

b = (0.25)^12

b = 0.00000006.

Hence the function is:

y = 200(0.00000006)^a.

The inflation rate is given as follows:

1/0.00000006 x 100% = 1,666,666,667%

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

The total amount of money that Marco has that week would be = $ d + 14.55.

An allowance income is defined as the amount of money an individual earns that can be used to solve their personal needs.

Marco received double payment, an allowance from the mother and from newspaper route.

The total amount of money received from his mother for allowance for that same week = $ d

The amount of money he earned from his newspaper = $14.55

Therefore the total amount of money Marco has that week =$ d + 14.55

Learn more about addition here:

https://brainly.com/question/25421984

#SPJ1

Complete question:

Marco's mom gave him d dollars for his allowance one week. He also earned \$14.55$14.55dollar sign, 14, point, 55 for his newspaper route that week.

How much money does Marco have?

Write your answer as an expression.

Answer:

Step-by-step explanation:

Let the number be x then:.

According to the question:

6 * (x + 25) = 30

therefore,

x + 25 = 30 / 6

x + 25 = 5

x = 5 - 25 = -20

Answer:

business plan proposal

Answer:

we have to make the denominator of both the fraction same so that we can compare.

We have to multiplybboth nominator and denominator by 6.then,

7×6/4×6=28/16

Now, comparing 28/6 and 28/6 we get to know that both the fraction are proportional.i.e.28/16=7/4

*mark me brainliest

No, 9x2 42x 49 is not a perfect square trinomial.

Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."

No, 9x2 42x 49 is not a perfect square trinomial. A perfect square trinomial is a polynomial of the form a2 + 2ab + b2,

where a and b are numbers or variables.

9x2 42x 49 does not fit this pattern, as it does not involve two terms whose sum is multiplied by itself.

To know more about perfect squares click-
https://brainly.com/question/27307830
#SPJ4

Answer:

2,570 meters

Step-by-step explanation:

110% of what number is 2827

1.1x = 2827  Divide both sides by 1.1

[tex]\frac{1.1x}{1.1}[/tex] = [tex]\frac{2827}{1.1}[/tex]

x = 2570

Answer:

x = 3.1 as a decimal or x = 28/9 as a fraction

Step-by-step explanation:

Answer:   [tex]f^{-1}(\text{x}) = \frac{2-\text{x}}{3}[/tex]

Explanation:

Swap x and y, then solve for y to get the inverse.

[tex]f(\text{x}) = -3\text{x}+2\\\\\text{y} = -3\text{x}+2\\\\\text{x} = -3\text{y}+2\\\\\text{x}-2 = -3\text{y}\\\\\text{y} = \frac{\text{x}-2}{-3}\\\\\text{y} = \frac{2-\text{x}}{3}\\\\f^{-1}(\text{x}) = \frac{2-\text{x}}{3}\\\\[/tex]

Step-by-step explanation:

a. 5a²c-3a²d + 5b²c3b²d l can't this question but l can calculate a. 5a²c-3a²d + 5b²c-3b²d.

I this your question is a little worng.

Answer: 8-4+5

Step-by-step explanation: Best I could do

Options e and f is the correct answers. The distance from the top of hays' head to the end of his shadow is 7.21ft

Hays' body and his shadow are perpendicular.

So if we imagine the line from the top of his head to the end of his shadow on the ground, we have a right triangle, and the imaginary line is the hypotenuse.  

Then you can stand back and let Pythagoras figure out the length of the line for you, using c²  =  a² + b²

(Distance)²=(Hay's height)²+(length of his shadow)²

(Distance)²=(6 ft)² + (4 ft)²

(Distance)²=(36 ft²) + (16 ft²)

(Distance)=52 ft²

Distance =√(52 ft)²

Distance = 7.21 ft

To know more about  Pythagoras:

https://brainly.com/question/343682

#SPJ4

Answer:

Step-by-step explanation: The answer will be D isolate the variable x by dividing by the factors.

Answer:

49a + 28

Step-by-step explanation:

Answer:

49a+28

Step-by-step explanation:

49a+26+11–3–6

49a+26+11-9

49a+26+2

49a+28

Brainliest!!!

Answer:

(-2, 1)

Step-by-step explanation:

−2x + 3y = 7

y = 3x + 7

Since the second equation is already solved for y, we can use the substitution method. Substitute y of the first equation with 3x + 7 and solve for x.

-2x + 3y = 7

-2x + 3(3x + 7) = 7

-2x + 9x + 21 = 7

7x = -14

x = -2

Now substitute x in the second equation with -2 and solve for y.

y = 3x + 7

y = 3(-2) + 7

y = 1

Answer: (-2, 1)

Br₂ does not equal to Avogadro's number. Since bromine is a diatomic element.

What is a diatomic element?

Diatomic molecules—so named because they only contain two atoms of the same or different chemical elements—are molecules that are made up of two atoms. A diatomic molecule is considered to be homonuclear if it contains two atoms of the same element, such as oxygen (O₂) or hydrogen (H₂).

Each bromine molecule consists of 2 atoms of bromine. Br₂ consists of two moles. One mole of bromine consists of 6.02214076 × 10²³ atoms. Thus 2 moles of bromine consist of 2 × 6.02214076 × 10²³ = atoms. Thus Br₂ does not equal to Avogadro's number.

To learn more about Br₂, click on the below link:

https://brainly.com/question/25423367

#SPJ4

A measurement which could be the side lengths of a right triangle include the following: C. √24 in, √6 in, √30 in.

In order to determine which measurements could be the side lengths of a right triangle, we would have to apply Pythagorean's theorem.

Mathematically, Pythagorean's theorem is given by this formula:

x² + y² = z²

From the side lengths of the first triangle, we have the following:

(√6)² + (√30)² = (√33)²

6 + 30 = 33

36 = 33 (False).

From the side lengths of the first triangle, we have the following:

(√27)² + (√18)² = (√48)²

27 + 18 = 48

45 = 48 (False).

From the side lengths of the first triangle, we have the following:

(√6)² + (√24)² = (√30)²

6 + 24 = 30

30 = 30 (True).

From the side lengths of the first triangle, we have the following:

(√18)² + (√21)² = (√48)²

18 + 21 = 48

39 = 48 (False).

Read more on Pythagoras theorem here: https://brainly.com/question/16376191

#SPJ1

Answer:

5

Step-by-step explanation:

[tex]\frac{7}{4}+\frac{1}{4}+\frac{5}{3}+\frac{1}{3}+\frac{1}{2}+\frac{1}{2}\\\\ =\frac{8}{4}+\frac{6}{3}+\frac{2}{2}\\ \\ =2+2+1\\ \\ =5[/tex]

The derivative function for equations 1 and 2 will be

y' = -1/ [2√(1-x²)] and y' = 3/[2(1 + x²)] respectively

Here we need to find the derivative of

[tex]y = tan^{-1}\sqrt{\frac{1-x}{1+x} }[/tex]

Let x = cos2z

Hence we get

[tex]y = tan^{-1}\sqrt{\frac{1-cos2z}{1+cos2z} }[/tex]

[tex]or, y = tan^{-1}\sqrt{\frac{2sin^{2}z}{2cos^{2}z} }[/tex]

[tex]or, y = tan^{-1}(tanz)[/tex]

or, y = z

Hence dy/dx = dz/dx

We know that

x = cos2z

or, 2z = cos⁻¹x

or, 2 dz/dx = -1/√(1-x²)

Hence dy/dx = -1/ [2√(1-x²)]

The second equation is

[tex]y = 3tan^{-1}[x-\sqrt{1+x^{2}} ][/tex]

Let x = cotz

Hence we get

[tex]y = 3tan^{-1}[cotz-\sqrt{1+cot^{2}z} ][/tex]

[tex]y = 3tan^{-1}[cotz-\sqrt{cosec^{2}z} ][/tex]

or, y = 3tan⁻¹ [cotz - cosecz]

or, y = 3tan⁻¹ [cosz/sinx - 1/sinz]

or, y = 3tan⁻¹ [(cosz - 1)/sinz]

or, y = 3tan⁻¹ [-2sin²(z/2)/{2sin(z/2) cos(z/2)}]

or, y = 3tan⁻¹ [-sin(z/2)/cos(z/2)]

or, y = 3tan⁻¹ [-tan{z/2)]

or, y = 3tan⁻¹ [tan{-z/2)]

or, y = -3z/2

or, dy/dz = -3/2 dz/dx

We have

x = cotz

or, z = cot⁻¹z

or, dz/dx = -1/(1 + x²)

Hence we get

dy/dx = 3/[2(1 + x²)]

To learn more about differentiation visit

https://brainly.com/question/27986235

#SPJ4

Given: Two triangle AGHI AJKL.

To find: measure of side JK and round the answer nearest tenth.

Solution: from figure

IH=5, GH=8,LK=16 from similarity rule

IH/LK=GH/JK

5/16 = 8/x

⇒5x=16x8

x=16×8/5

⇒x=25.6 or

x= 26 (nearest tenth), this is side JK

A triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle. An angle is formed between two sides. This is one of the important parts of geometry.

Some major concepts, such as Pythagoras theorem and trigonometry, are dependent on triangle properties. A triangle has different types based on its angles and sides.

Triangle is a closed two-dimensional shape. It is a three-sided polygon. All sides are made of straight lines. The point where two straight lines join is the vertex. Hence, the triangle has three vertices. Each vertex forms an angle.

Learn more about triangle at https://brainly.com/question/2773823.

#SPJ4

The reason behind horizontal asymptote is defined as the end behavior of the function.

The term asymptote in math is known as a straight line that constantly approaches a given curve but does not meet at any infinite distance.

Here we need to list down the reason behind horizontal asymptote.

As we all know that the horizontal asymptote of a graph is a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞. Here we also know that the slant asymptote of a graph is a slanted line y = mx + b where the graph approaches the line as the inputs approach ∞ or –∞.

Therefore, through the definition we know that the horizontal line to which the graph of the function appears to coincide with but it doesn't actually coincide.

To know more about asymptote here,

https://brainly.com/question/2303876

#SPJ4

The equation of the function in the form y=mx+b is y = 110x-2020

Adaptation of function speed

A line's equation is written as mx + b = y, where m denotes the rate of change or slope.

The intercept is B.

utilizing the coordinates

Calculate the slope.

m = 550/5

m = 110

The intercept for

280 + 110(20) + b

280 = 2200 + b

b = 180 - 2200

b = -2020

The equation for the function of the type y=mx+b is hence y = 110x-2020.

Learn more on the linear quantities here:

https://brainly.com/question/11667907

#SPJ4

The complete question would be:

The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y=mx+b

The phrase b2 - 4ac is referred to as the discriminant for the quadratic equation ax2 + bx + c = 0.

The phrase b2 - 4ac is known as the discriminant for the quadratic equation ax2 + bx + c = 0. How many roots f(x) has is shown by the discriminant's value: - The quadratic function has two unique real roots if b2 - 4ac > 0 A repeated real root exists in the quadratic function if b2 - 4ac = 0.

D=b2 - 4ac, discriminatory

The constant term c.

In mathematics, a discriminant is a parameter of an object or system that is calculated to help with its classification or solution. For the cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc 4b3 4a3c 27c2, while the discriminant for the quadratic equation ax2 + bx + c = 0 is b2 4ac.

To learn more about discriminant refer to:

https://brainly.com/question/24730520

#SPJ1

[tex] \longmapsto \: =25/35 [/tex]

[tex] \longmapsto \: =5/7[/tex]

[tex] \longmapsto \: =5:7[/tex]

The width for the second rectangle which is HIJK will be A. 24 inches.

From the diagram, it should be noted that rectangle ABCD is similar to rectangle HIJK. Therefore it should be noted that the relationship between the width and length is expressed as:

= Width / Length

= 12/16

= 3/4

Therefore, the width for the second rectangle will be:

= 3/4 × 3.2

= 2.4

In conclusion, the correct option is A.

Learn more about proportional relationship on:

brainly.com/question/2143065

#SPJ1

The given equation 1 value of F(x) is 0.109 and in equation 2 F(x) is -4 respectively.

Trigonometry is one of the important branches in the history of mathematics that deals with the study of the relationship between the sides and angles of a right-angled triangle. This concept is given by the Greek mathematician Hipparchus.

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional figures. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circular functions) that make up trigonometry.

if x⁰=π in eq1

then [tex]f(x)= sin\ 2 \pi[/tex]

[tex]f(x) = 0.109[/tex]

if x⁰= -1 in eq2

then [tex]f(x)=3(-1)-(-1)^2[/tex]

[tex]f(x) = -4[/tex]

To know more about angles visit:-

brainly.com/question/28451077

#SPJ1

The answer to the addition equation  (-7.14) + (-5.2) = -12.34

Addition is a mathematical operation in which two numbers are combined together using the addition symbol, +.

Since we have the equation (-7.14) + (-5.2), we desire to add both numbers together. We proceed to add the two numbers as follows.

(-7.14) + (-5.2) = -7.14 - 5.2

= -12. 34

So, we see that the answer to the addition equation (-7.14) + (-5.2) = -12.34

Learn more about addition here:

https://brainly.com/question/25421984

#SPJ1

FG is not a defined term, so there is no way to determine its value.

FG is not a defined term, so there is no way to determine its value. This means that we cannot assign a numerical or other value to it. In order to determine the value of FG, we would first need to identify the context in which it is being used, as different contexts may assign different meanings to the same term. Once the context has been established, we can then look up the definition of FG in order to understand what it means in that particular context, and then assign a value to it accordingly. For example, if FG stands for "Frequency Generator" in a physics context, then it would likely have a numerical value associated with it.

Learn more about value here

https://brainly.com/question/1301718

#SPJ4

If in a survey of 1,500 people who owned a certain type of​ car, 750 said they would buy that type of car again, the percent of people surveyed who were satisfied with the car is 50%.

To find the percent of people surveyed who were satisfied with the car, we can use the following formula:

percent satisfied = (number of satisfied people / total number of people surveyed) x 100

In this case, the number of satisfied people is 750 and the total number of people surveyed is 1,500. So we have:

percent satisfied = (750 / 1,500) x 100 = 0.5 x 100 = 50%

So, 50% of the people surveyed were satisfied with the car.

To know more on percentage

https://brainly.com/question/19968524

#SPJ4

41% is the percentage increase of the area of the building pace.

When the denominator is 100, percentages are really just fractions. We place the percent sign (%) next to the number to indicate that the number is a percentage.

Comparing two amounts while rebasing the second amount to 100 is the simplest way to use percentages. The word percentage comes from the Latin term per centum, which means "by the hundred." In the 16th century, the Latin term made its way into English. It was later abbreviated to %.

A company is expanding it building area from 18,000 square feet to 25,380 square feet.

= (25,380 - 18,000)

= 7,380

Now,

= 7,380 / 18,000

= 0.41

the percentage increase of the area of the building pace: 0.41 / 100 = 41%

To know more about percentage refer to:

https://brainly.com/question/24877689

#SPJ4