Does the chart below represent a proportional relationship? What is the rate of change?

x
y
1
4
2
7
3
10
4
13

Answers

Answer 1

Answer:

C will be your answer.

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Related Questions

7. Ms. Vickory assigned the problem: 8/9-4/6. Three of her students' responses are below. Who completed the problem correctly? What common mistakes did the other two students make?
The three students
Sue- 8/9-4/6=4/3 or 1 1/3
Jim- 8/6 - 4/6 = 48/54 - 36/54= 12/54 or 2/9
Bob- 8/9- 4/6 = 8/54-4/54= 4/54 = 2/27

Answers

Answer:

Jim:  2/9

Step-by-step explanation:

8/9-4/6

48/54-36/54          [Convert each fraction to a common denominator:  54

                              Multiply (8/9)*(6/6)=48/54;  Multiply (4/6)*(9/9) = 36/54]

 48/54-36/54 = 12/54

12/54 can be reduced to 2/9

Jim also has 2/9

Sue- 8/9-4/6=4/3 or 1 1/3:  Sue subtracted both the numerator and denominator.  This is not correct.

Jim- 8/6 - 4/6 = 48/54 - 36/54= 12/54 or 2/9:  Good Job Jim

Bob- 8/9- 4/6 = 8/54-4/54= 4/54 = 2/27:  Bob converted both denominators to 54, but did not multiply the numerators by the same numbers.  Bad Bob.

Julie invests money in an account that pays compound intrestof 5% per annum after 3 years julie has 2778.30 how much did julie initially invest

Answers

Answer:

[tex]\huge\boxed{2400}[/tex]

Useful Information:

The formula for compound interest is: [tex]initial.amount*interest.rate^{no.years}[/tex]

Step-by-step explanation:

To work this out, you would first have to convert the percentage into a decimal. You can do this by dividing the percentage of 5% by 100, which gives you 0.05. This is because percentages are out of 100.

The next step is to add 1 to 0.05, this gives you 1.05. This is because you are working out the percentage increase.

The next step is to substitute the values into the formula. This gives you[tex]initial.amount*1.05^{3}=2778.30[/tex]

To work out the initial value, you would divide the final amount of 2778.30 by [tex]1.05^3[/tex], which gives you 2400. This is because you are rearranging the formula to find the initial investment.

1) Divide 5 by 100.

[tex]\frac{5}{100}=0.05[/tex]

2) Add 1 to 0.05.

[tex]1+0.05=1.05[/tex]

3) Substitute the values into the formula.

[tex]initial.amount*1.05^{3}=2778.30[/tex]

4) Divide 2778.30 by [tex]1.05^3[/tex].

[tex]\frac{2778.30}{1.05^3}=2400[/tex]

Use the discriminant to describe the roots of each equation. Then select the best description.

3x^2 - 2 + 7x =0

Answer options:
•double root
•imaginary root
•real and irrational root
•real and rational root

Answers

The quadratic equation 3 · x² + 7 · x - 2 = 0 has a positive discriminant. Thus, the expression has two distinct real roots (real and irrational roots).

How to determine the characteristics of the roots of a quadratic equation by discriminant

Herein we have a quadratic equation of the form a · x² + b · x + c = 0, whose discriminant is:

d = b² - 4 · a · c     (1)

There are three possibilities:

d < 0 - conjugated complex roots.d = 0 - equal real roots (real and rational root).d > 0 - different real roots (real and irrational root).

If we know that a = 3, b = 7 and c = - 2, then the discriminant is:

d = 7² - 4 · (3) · (- 2)

d = 49 + 24

d = 73

The quadratic equation 3 · x² + 7 · x - 2 = 0 has a positive discriminant. Thus, the expression has two distinct real roots (real and irrational roots).

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\In a mouse population, some mice have thicker fur than others, but there are more mice with thinner fur. The climate in which these mice live has slowly gotten colder.

How will this change in the environment most likely affect the mouse population?

The adaptation of thinner fur will be selected over thicker fur, and the population will remain unchanged.
The adaptation of thicker fur will be selected over thinner fur, and the population will remain unchanged.
The adaptation of thinner fur will be selected over thicker fur, and the population will evolve.
The adaptation of thicker fur will be selected over thinner fur, and the population will evolve.

Answers

The adjustment of thicker fur will be selected over thinner fur, and the population will develop. Then the correct option is D.

What is decision-making?

Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.

In a mouse population, some mice have thicker fur than others, but there are more mice with thinner fur.

The climate in which these mice live has slowly gotten colder.

The change in the environment most likely affect the mouse population will be

The adjustment of thicker fur will be selected over thinner fur, and the population will develop.

Then the correct option is D.

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A square garden has a side length of 5 ft. What is the area of the garden?
O 5ft²
O 10ft²
O 20ft²
O 25 ft²

Answers

formula is lsquare so answer is 25ft

-19+[27-(14+(5-2)×4÷2))]
simplify ​

Answers

Answer:

-12

Step-by-step explanation:

Identify the equation with an x-intercept of 3 and a y-intercept of -2.

Answers

The equation of line is 2x  - 3y = 6.

What is intercept?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

The x-intercept is 3 and the y-intercept is -2.

So, the line passes through the points  (3, 0) and (0, -2)

Now, slope of line is

m= -2-0/ 0-3 = 2/3

Equation of line is

y = 2/3 x - 2

y = 2x-6 /3

3y= 2x -6

2x  - 3y = 6

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Solve using a proportion.
A carpet store charges $150 to install 12 square yards of carpet. How much should it cost to
install 24 square yards?

A. $250
B. $300
C. $3,600
D. $192

Answers

Download Airmath to help you with math problems

A shoe making company makes 256 pairs of boots in a day how many pairs of boots do they make in 260 days​

Answers

Answer:

66560 pairs

Step-by-step explanation:

let the number of pairs of boots the company makes in 260 days = X

1day -----------------256pairs

260days-------------X

cross multiplying

1×X = 260×256

X= 66560

therefore, in 260days, he makes 66560 pairs


Parallelogram EASY is drawn with diagonal ES. The measure of Angle AES is 40 degrees and the measure of Angle Y is 110
degrees.
Find the measure of Angle A, Angle YEA, Angle ESA, and Angle ESY.

Answers

Answer:

Step-by-step explanation:

Givens

Parallelogram EASY with diagonal ES

<AES = 40

<Y = 110

Solution

<AES = 40               GIVEN

<ESY = 40                     Z THEOREM OF A PRALLELOGRAM

<A = <Y                         PROPERTY OF A PARALLELOGRAM

<A = <110                      <A = 110 BECAUSE <Y = 110

<YES = 180 - <Y           -<ESY EVERY TRIANGLE HAS 180o

<YES = 180 - 110 - 40    SIMPLIFY

<YES = 30

<YEA = <YES + <AES    WE KNOW BOTH ANGLES ON THE RIGHT.

<YEA = 30 + 40             COMBINE

<YEA = 70

You could do <YEA by noting that consecutive angles of a Parallelogram equal 180

(6+9)2+6(600-9)+600 divide 30

Answers

Step-by-step explanation:

GIVEN

HERE

= 6+9+2+6+600÷30 { firstly add numbers }

= 623 ÷ 30

= 20

I think you understand

20 simple math , pretty easy

HELP ASAP/NOW....NO JOKES OR LINKS!!!!!!

what is the vale of the expression -2x^2-4x+10 when x= -3

A. -20

B. 16

C. 40

D. 4

Answers

Answer:

D.  4

Step-by-step explanation:

Given expression:

[tex]-2x^2-4x+10[/tex]

To find the value of the expression when x = -3, substitute x = -3 into the expression:

[tex]\implies -2(-3)^2-(-3)x+10[/tex]

Apply exponent rule  [tex](-a)^2=a^2[/tex]:

[tex]\implies -2(3^2)-4(-3)+10[/tex]

[tex]\implies -2(9)-4(-3)+10[/tex]

[tex]\implies -18-4(-3)+10[/tex]

Apply rule [tex]-(-a)=a[/tex] :

[tex]\implies -18+(4)(3)+10[/tex]

[tex]\implies -18+12+10[/tex]

Add/subtract from left to right:

[tex]\implies -6+10[/tex]

[tex]\implies 4[/tex]

Let's find

-2x²-4x+10-2(-3)²-4(-3)+10-2(9)+12+10-18+224

Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal. Is Kyle's claim Incorrect or correct? In two or more complete sentences, Justify your answer.

Answers

In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal. Kyle's claim is Incorrect.

What is a quadrilateral?

It is a polygon with four sides. The total interior angle is 360 degrees.

Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal.

Kyle's claim is Incorrect. Because the shapes are square and rhombus.

In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal.

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Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the best estimate of the speed Morris is traveling?

1 mile = 5,280 feet

45 miles per hour
46 miles per hour
47 miles per hour
48 miles per hour

Answers

Answer:

48 miles per hour I hope I helped you have a nice day

good afternoon can someone please helppp :))))
Triangle XYZ is dilated by a scale factor of 1/4​ to form triangle X'Y'Z'. Side YZ measures 18. What is the measure of side Y'Z'?



(Round your answer to the nearest tenth)

Answers

You would do 18 times 1/4 because a dilation is always a multiplication or division because it makes the shape shrink or expand. 18 times 1/4 is 4.5 so that would be your answer:)

I need this answer . I would be happy if I got it .

Answers

Answer:

15cm

Step-by-step explanation:

PC = 15

BR = 15

.

............................................

How do I answer this question pls help me

Answers

Answer:

  14.7 quarts

Step-by-step explanation:

Use the given equivalence figures to write a proportion. Solve the proportion for the unknown value.

__

  quarts/liters = x/14 = 1/0.95 . . . . . the conversion is given as 1 qt = 0.95 L

Multiply by 14 to find x.

  x = 14(1/0.95) ≈ 14.7

There are about 14.7 quarts in 14 liters.

_____

Additional comment

You are given a value in liters (14 liters) and asked for the equivalent in quarts. That means you want to change the units from liters to quarts. To do that, you can multiply the given value (14 liters) by a conversion factor that has quarts in the numerator and liters in the denominator. That is what the fraction 1/0.95 is in the above. You will note that units of liters cancel in this equation.

  [tex](14\text{ liters})\times\dfrac{1\text{ quart}}{0.95\text{ liter}}=\dfrac{14}{0.95}\text{ quarts}\approx14.7\text{ quarts}[/tex]

This rule, "use a conversion factor that divides by the units you don't want and multiplies by the units you do want" applies to any units conversion problem. The conversion factor you use should always have equal quantities in the numerator and denominator. (Here, the equal quantities are 1 quart and 0.95 liters.)

You will notice that we treat units just like any variable. They can be multiplied, divided, cancelled, raised to a power. Only terms with like units can be added or subtracted.

give me da answer.........................................................................

Answers

Yeah, what’s the question?

Answer:

Ok ya sure I would love to. :)

Step-by-step explanation:

Oh wait….

*Crickets chirping*

simplify

5cat + 3act - 6tac

Answers

Answer:

the correct answer is 2 act

Step-by-step explanation:

there is same base (act)

then 5+3=8

and 8-6 = 2act

x + 3y > –3 and y < One-halfx + 1?

Answers

The complete question is

"Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?"

The solution is the intersection region of all the solutions in the system of inequalities.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

We know that the lines are given as;

x + 3y = -3

y = 1/2 x + 1

Solving for "y" from the first line;

3y = -3 - x

y = -1 - x/3

For the line x + 3y = -3  the x-intercepts;

y = 0

y = -1 - x/3

0 = -1 - x/3

x/3 = -1

x = -3

And the y-intercept;

y = -1

For the line y = 1/2 x + 1 the x-intercepts;

y = 0

0= 1/2 x + 1

1/2x = -1

x = -2

And the y-intercept

x = 0

y = 1

Now we can graph both lines,

The solution is the intersection region of all the solutions in the system of inequalities.

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find the average rate of change​

Answers

Answer:

[tex]\dfrac{26}{3}[/tex]

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given function:  [tex]f(x)=3^{x-1}+2[/tex]

Given interval:  1 ≤ x ≤ 4

Therefore, a = 1 and b = 4

Therefore, find the value of the given function when x = 1 and x = 4:

[tex]\begin{aligned}\implies f(1) & =3^{1-1}+2\\ & = 3^0+2\\ & = 1+2\\ & = 3 \end{aligned}[/tex]

[tex]\begin{aligned} \implies f(4) & = 3^{4-1}+2 \\ & = 3^3+2\\ & = 27+2\\ & = 29 \end{aligned}[/tex]

Substitute the found values into the formula:

[tex]\begin{aligned}\implies \dfrac{f(b)-f(a)}{b-a} & =\dfrac{f(4)-f(1)}{4-1}\\\\ & =\dfrac{29-3}{4-1}\\\\ & = \dfrac{26}{3} \end{aligned}[/tex]

Paolo and Monika are both travelling by train.
Paolo's train travels 70 km in 35 minutes.
Monika's train travels 684 km.
It leaves at 16:15 and arrives at 20:45.
Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer:

32 km/hr

Step-by-step explanation:

Firstly, you need to find the speed of both trains in km/hr.

Paolo's train= (70km x 60hr)/35= 120 km/hr

Monika's train= 684km/4.5hr= 152 km/hr

Then find the difference in speed:

152-120=32 km/hr

Analyze the diagram below and complete the instructions that follow.


/

Find the value of x.

A.
4
B.
5
C.
6
D.
9



Please select the best answer from the choices provided


A
B
C
D

Answers

The value of x will be 4 ,  Option A is the answer.

What is a Right Angled Triangle ?

A triangle that has one angle as 90 degree is called a Right angled Triangle.

In a right angled triangle

the length of the sides can be determined using Pythagoras Theorem

The length of the side is given in the image attached as

x-2 , x , √20

Hypotenuse ² = Perpendicular² + Base²

(√20)² = x² + (x-2)²

20 = x² + x² +4 -4x

2x²-4x -16 = 0

x² -2x -8 = 0

x² - 4x +2x -8 = 0

x (x-4) +2(x-4) = 0

(x+2)(x-4) = 0

x = -2 , 4

The value of x will be 4 .

Therefore Option A is the answer.

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If with 150 grams of ground meat a tortilla is prepared to make a hamburger. How many tortillas can I make with one and a half kilograms of ground meat?​

Answers

Answer:

You can make 10 tortillas with one and a half kilograms of ground meat

Step-by-step explanation:

one and a half kilograms to grams

1.5kg x 1000 = 1500g

150 grams prepared to make 1 hamburger

than, 150 x h = 1500

h = 1500 / 150

h = 10

Answer:

10 tortillas

Step-by-step explanation:

First convert kilograms to grams:

   1 kg = 1000 g

⇒ 1.5 kg = 1500 g

Let x = number of tortillas made with 1500 g of meat

Set up a ratio of tortillas and meat and solve for x:

⇒ 1 tortilla : x tortillas = 150 g meat : 1500 g meat

[tex]\sf \implies \dfrac{1}{x}=\dfrac{150}{1500}[/tex]

[tex]\sf \implies 1 \cdot 1500= 150 \cdot x[/tex]

[tex]\sf \implies 1500=150x[/tex]

[tex]\implies \sf x=\dfrac{1500}{150}[/tex]

[tex]\implies \sf x=10[/tex]

Therefore, 10 tortillas can be made with 1.5 kg of ground meat.

How many sulotions does this system have? 6x-y=-1 6x+y=-1

Answers

Answer:

6/6

Step-by-step explanation:

6/6 not equal -1/1 so these lines intersect each other at only one point hence these have only one solution.

Answer:

I can give you the answer if you can answer a question

Step-by-step explanation:

The dimensions of a rectangles are 8cm and 12cm. What is the ratio of its length to its perimeter?

Answers

Answer:

Dimensions = 8 CM and 12 CM

length = 12 CM

width = 8 cm

perimeter = 2 ( length + width)

= 2( 12 + 8)

= 2 ( 20)

= 40 CM

ratio = 12/40

= 6/20

= 3/10

= 3 : 10

One of the solutions to x² - 2x - 15 = 0 is x = -3. What is the other solution?
O x=-5
O x=-1
O x = 1
O x = 5

Answers

Answer:

x= 5

Step-by-step explanation:

factorised the equation is (x-5) (x+3)

x=5 x=-3

If t = 0 in 1980, find the value for t in 1990

Answers

The value of t is 6.65

What is exponential function?

An exponential function is a mathematical function of the following form: f ( x ) = a^x. where x is a variable, and a is a constant called the base of the function.

Given:

A= 210 million

P= A e^(kt)

225 = 210 * e ^ (0.0069t)

225/210=  e ^ (0.0069t)

1.07 =  e ^ (0.0069t)

Taking log on both side

log  1.047 = 0.0069 t log e

[tex]\frac{0.0069t\ln \left(e\right)}{0.0069\ln \left(e\right)}=\frac{\ln \left(1.047\right)}{0.0069\ln \left(e\right)}[/tex]

t= log ( 1.047) / 0.0069

t= 6.65

Hence, value of t is 6.65.

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Answer:

Step-by-step explanation:

Could use help asap please

Answers

Observe the diagram below with indexes on the shapes.

The transformations are:

Shape I is given a 90° clockwise rotation about the origin and then a reflection across the x-axis.
In doing this transformation we first get the shape b by rotating shape I 90° clockwise about the origin and then when we reflect shape b about the x-axis we get shape a.

Ultimately, we get shape a after doing the above transformation on Shape I.
Shape I is given a 90° counterclockwise rotation about the origin and then reflection across the x-axis.
In doing this transformation we first get the shape e by rotating shape I 90° counterclockwise about  the origin. And then after reflecting this shape e about x-axis we get shape d.

Ultimately, we get shape d after doing the above transformations on Shape I.
Shape I is given a 180°  rotation about the origin and then translation right 4 uints.
In doing this transformation we first get the shape c by rotating shape I 180° about the origin. After that when it is translated 4 units right we get shape c at 4 uints right to  shape c's original position.
That means congruent to shape c.

Ultimately, we get shape c after doing the above transformations on Shape I.


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. All the students in SS3 of a named school take either Mathematics (M), or Physics (P) or Chemistry (C). 40 take Mathematics, 42 take physics, 38 take Chemistry, 20 take Mathematics and Physics, 28 take Physics and Chemistry while 25 take mathematics and chemistry.
How many take
(a) All the three subject:
(b) Mathematics, but neither Physics nor Chemistry
(c) Physics, but neither Mathematics nor Chemistry

Answers

Answer:

(a) = 13

(b) = 8

(c) = 5

Step-by-step explanation:

Addition theorems on sets are

Theorem 1 :

n(AuB) = n(A) + n(B) - n(AnB)

Theorem 2 :

n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

Total number of students in the school is not given

so let there are 60 students in the school

using theorem 2

n(AuBuC) : = n(A) + n(B) + n(C) - n(AnB) - n(BnC) - n(AnC) + n(AnBnC)

let n(A) = Mathematics, n(B) =Physics and n(C) = Chemistry

so putting values,

   60             =    40 + 42 + 38 - 20 - 28 - 25 + n(AnBnC)

60 +73 -120 = n(AnBnC)

         13         = n(AnBnC)

therefore, there are total 13 students who take all three subjects

Number of students who had taken only Mathematics  =
n(A) - n(AnB) - n(AnC) + n(AnBnC)

40 - 20 - 25 + 13

53 - 45 = 8 students

Number of students who had taken only Physics  =

n(B) - n(BnA) - n(BnC) + n(AnBnC)

42 - 20 - 28 + 13

53 - 48 = 5 students

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Study the situation presented below and then complete the task that follows . John Mason , a 16 - year old , wants to find out what must be done in order to obtain his driver's licence . He called the licensing office many times but was unable to reach anyone . He decides to write an email using the email address he obtained . He must write to Mr Kenneth Davy , Head of the Traffic Department of the Royal St Taba Police Force . He wants the following information : The minimum age to acquire a driver's licence: The tests ( theory and practical ) which must be taken :The length of time it takes to get the licence after passing the test The days the tests : the days the test are taken: the cost of the driver's licenceWrite the email using the information given . Make sure to include all the relevant details in the email to ensure that all the information is received . Your email MUST be in continuous prose ...please help > The measure of an angle is 1/2 the measure of its supplement find the measure of each supplement. Help HELP! WILL GIVE BRAINLESTExamine the following diagram: in the photo I attached of the question What is the measure of DBC?264149 If point d is placed on AC how will the measure of DAB relate to the measure of CAB Question Mode Multiple Choice Question The total interest that accumulates over time on both the principle money deposited and accumulating interest in an interest-bearing savings account is known as ______ interest. One mole of hydrogen is burned in oxygen to produce water in the gas phase, H = 285.8 kJ. What is the energy change when 1 mole of water, in the gas phase, decomposes to form hydrogen and oxygen? a.142.9 kJ of heat is absorbed. b.285.8 kJ of heat is absorbed. c.142.9 kJ of heat is released. d.285.8 kJ of heat is released. Winter Dreams explores the aspirations of Dexter Green. Analyze this character and state whether he is dynamic or static. Cite textual evidence to support your answer. On tax-free weekend, Ben buys school supplies totaling $47.50. He has a sale coupon for 15% off his entire purchase. What will Ben final cost be after the 15% discount? Does the constitution mention separation of church and state. SOMEBODYYY HELLLLPPPPPP so this question says What was one of the major ideas of Jacksonian democracy?A. to address the needs of common AmericansB. to develop the lifestyle of the upper classC. to address the issues of American IndiansD. to improve the conditions of white males WITCH ONEEEEE!!! Please hellpp meeee solve the following inequality Part AWhich shapes can you use to model the log and the board? mDFG=(2x+6) and mEFG=(3x11). Find the value of x.The figure shows straight angle D F E that consists of two angles, D F G and E F G. which set of ordered pairs corresponds to the graph ? Here is the ancient floor,Footworn and hollowed and thin,Here was the former doorWhere the dead feet walked in.She sat here in her chair,Smiling into the fire;He who played stood there,Bowing it higher and higher.Childlike, I danced in a dream;Blessings emblazoned that day;Everything glowed with a gleam;Yet we were looking away!1Select the correct answer.What is theme of the poem?A. Necessity creates appreciation for simplicity.B. Look before you leap.C. Let the past be the past.D. Memories provide opportunities for gratitude. Important feature of the bagmati province, any four points What is a 10% margin increase on 1,810.69? The larger of two consecutive integers is 7 greater than twice the smaller. Find the integers. ( 4, 5)( -8, -9)(-5, -6) Listen and select the option with the spelled word from the audio. Caro Cara Coro Cura Bayes' rule combines accuracy, false positives, and _____ to determine the probability of a result.