What are the minimum and maximum distances that Morgan’s dog may be from the house? (Algebra ll) *URGENT*

What Are The Minimum And Maximum Distances That Morgans Dog May Be From The House? (Algebra Ll) *URGENT*

Answers

Answer 1

Given:

The minimum and maximum distance that the dog may be from the house can be found by using the equation:

[tex]|x-500|=8[/tex]

To find:

The minimum and maximum distance that the dog may be from the house.

Solution:

We have,

[tex]|x-500|=8[/tex]

It can be written as:

[tex]x-500=\pm 8[/tex]

Adding 500 on both sides, we get

[tex]x=500\pm 8[/tex]

Now,

[tex]x=500+8[/tex] and [tex]x=500-8[/tex]

[tex]x=508[/tex] and [tex]x=492[/tex]

The minimum distance is 492 meters and the maximum distance is 508 meters.

Therefore, the correct option is C.


Related Questions

What is 3/4 divided by 1/2

Answers

Answer:

6/4 or 1 1/2

Step-by-step explanation:

You have to use the Keep Change Flip technique.

Keep 3/4.

Change the division symbol to a multiplication one

Flipi 1/2 to 2/1

and when you multiply the answer is 6/4 = 1 1/2

The measure of an inscribed angle is x, and the measure of its intercepted arc
is y. Which equation describes the relationship between x and y?

Answers

Answer:

C. [tex]y = 2\cdot x[/tex]

Step-by-step explanation:

The measure of the inscribed angle ([tex]x[/tex]), in angular units, is directly proportional to the measure of the intercepted arc ([tex]y[/tex]), in length units:

[tex]y \propto x[/tex]

[tex]y = k\cdot x[/tex] (1)

Where [tex]k[/tex] is the proportionality ratio, in length units per angular unit.

Hence, correct answer is [tex]y = 2\cdot x[/tex]. (Correct answer: C)

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

Marco is incorrect because a function is a relation for which each input has a different output. An example of a function is y=2x each input x has a different output y.

3c(p-6)+4(p-6)= write the correct expression in factored form.

Answers

[tex]\tt\displaystyle\ 3c\underline{(p-6)}+4\underline{(p-6)}=(p-6)(3c+4)[/tex]

Someone help me with these math problems please !! (It is not obligatory to put the explanation so I save time and you will answer me more quickly please!

Answers

Answer:

I don't know the selection options, so please pick them from the explanation below.

Step-by-step explanation:

"like terms" are in this contexts in one group all expressions with x, and in another group all expressions without x.

so,

3x and -2x/9

3x - 2x/9 = 27x/9 - 2x/9 = 25x/9

-1/5 ... = 124/5

... = 125/5 = 25

so, we end up with

25x/9 = 25

x/9 = 1

x = 9

3y+30=6x

What is the solution to the system?

Answers

Answer:

6x+y=30

-9x+3y=-18

Solving by substitution means that you have to express one of the variables (from one the equations) through the other one and substitute in the second equation.

In this example it is easier to express y through x in the first equation: y=30-6x. Put the expression for y in the second equation and solve for x.

-9x+3(30-6x)=-18 (divide by -3)

3x-30+6x=6

9x=36

x=4,  

y=30-6x=30-24=6

 

Step-by-step explanation:

help pls and explain!!
Each molecule of aluminum oxide (Al2,03) is
composed of 2 aluminum atoms and 3 oxygen atoms.
How many more oxygen atoms than aluminum
atoms are present in 100 molecules of aluminum
oxide?

Answers

Answer:

100

Step-by-step explanation:

[tex](100 \times 3) - (100 \times 2) = 100 [/tex]

write missing monomial to make an identity ( + 2a)^2 = + 12ab + 4

Answers

Answer:

The missing monomial should be [tex]3b[/tex].

Step-by-step explanation:

Given that,

[tex]( + 2a)^2 = + 12ab + 4[/tex]

Let the missing monomial is x.

[tex]( x+ 2a)^2 = x^2+ 12ab + 4a^2\\\\( x+ 2a)^2=(3b)^2+ 2(2a)(3b) + (2a)^2\\\\So,\\\\( 3b+ 2a)^2=(3b)^2+ 2(2a)(3b) + (2a)^2[/tex]

So, the missing monomial should be [tex]3b[/tex].

The quadratic function fhas a vertex at (3,4) and opens upward. The quadratic function g is shown below.
g(3) 2(1 – 4)² + 3
Which statement is true?
OA
The maximum value of fis greater than the maximum value of g.
The minimum value of gis greater than the minimum value of f.
O B.
Ос.
The minimum value of fis greater than the minimum value of g.
OD
The maximum value of g is greater than the maximum value of f.

Answers

Answer:

Option (C)

Step-by-step explanation:

Equation of the quadratic function having vertex at (3, 4) and opening upwards,

So the the minimum point of the function is (3, 4).

Therefore, minimum value of the function is 4 at x = 3.

y = (x - h)² + k [Here, (h, k) is the vertex]

g(x) = 2(x - 4)² + 3

Vertex of the parabola is (4, 3).

Since, leading coefficient is positive, parabola will open upwards.

Therefore, vertex will be the minimum point.

Minimum value of the function will be 3 at x = 4.

Minimum value of the function 'f' is greater than the minimum value of the function 'g'.

Option (C) will be the answer.

Answer:

C. The minimum value of f is greater than the minimum value of g.

Step-by-step explanation:

I got a 100% on my test

Which is true about this triangle?

Answers

Answer:

C=32°

because sum of three angles of triangles is 180°

sin^2x + sin2x +2cox^2x = 2

Answers

Answer:

Step-by-step explanation:

[tex]sin^2 \ x + sin ^2 \ x + 2cos^ 2\ x = 2\\\\2sin^2 \ x + 2 cos^2 \ x = 2\\\\2 ( sin^2 \ x + cos^2 \ x ) = 2 \\\\2 \times 1 = 2 \\\\2 = 2 \\\\LHS = RHS \\\\Hence \ proved.[/tex]

Write a recursive rule for the sequence.
x, x, 2x, 3x, 5x, 8x, ...
I know that it adds its last term but I don't know the rule/formula to show that.

Answers

Answer:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

Step-by-step explanation:

This is the fibonacci sequence with each term times x.

Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.

That is:

1x+1x=2x

1x+2x=3x

2x+3x=5x

3x+5x=8x

So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.

f(1)=1x since first term of f is 1x

f(2)=1x since second term of f is 1x

Yes, I'm naming the sequence f.

So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...

Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.

So in general f(n)=f(n-1)+f(n-2).

So the full recursive definition is:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

A population that is neither growing nor declining will have a TFR of ________. A population that is neither growing nor declining will have a TFR of ________. 2.1 1.2 less than 1.0 zero greater than 2.1

Answers

A population that is neither growing nor declining will have a TFR (Total Fertility Rate) of 2.1.

A population that is neither growing nor declining will have a Total Fertility Rate (TFR) of 2.1. The TFR is the average number of children that a woman of reproductive age will have in her lifetime.

A TFR of 2.1 is considered to be the replacement level for a population, meaning that the population will remain stable over time as births are balanced by deaths.

A TFR less than 1.0 would indicate a population in decline, while a TFR greater than 2.1 would indicate a population in growth.

Therefore, a population that is neither growing nor declining will have a TFR (Total Fertility Rate) of 2.1.

To learn more about the population increase and decrease visit:

https://brainly.com/question/27779235.

#SPJ1

Can someone help me with this math homework please!

Answers

Answer:

2nd option

{(-8, -2), (-4, 1), (0, -2), (2, 3), (4, -4)}

Step-by-step explanation:

For a function to exist, every value of input must have exactly one value of output.

The rest of the relations(1, 3, and 4) have 2 outputs for 1 input so they dont make a function.

Answer:

(B)

Step-by-step explanation:

If you noticed, all the other input values have one input value that has two output values. This doesn't represent a function. Only (B) has one output for each input.

Hope that helps (●'◡'●)

Given that (-1,-3) is on the graph of f(x), find the corresponding point for the function -3f(x).

Answers

Answer:

Step-by-step explanation:

(3,9)

PLEASE HELP !!!

Annabelle went to the store to buy some apples. The price per pound of the apples is $3.75 per pound and she has a coupon for $3.25 off the final amount. With the coupon, how much would Annabelle have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy pp pounds of apples, assuming at least one pound is purchased.

final cost of 3 pounds: ______
final cost of p pounds: ______

Answers

Answer:

final cost of 3 pounds:  8 dollars  

final cost of p pounds:   3.75p - 3.25  dollars  

Step-by-step explanation:

Each pound costs $3.75, so 3 pounds cost 3*3.75 = 11.25 dollars. Subtract off the $3.25 to get the final cost to be 11.25-3.25 = 8 dollars. This takes care of the first part.

For the second part, the expression for the final cost is 3.75p - 3.25; where the 3.75p is the cost before the coupon is applied. If you plugged p = 3 into that expression, you should get 8 as a result. The variable p is some positive whole number. It's a place holder for the number of pounds of apples.

Two times the difference of a number and ten is forty two

Write an equation to represent the sentence:

Answers

Answer:

let the number be x

representing the equation...

it will be....

2 times (the number- 10)=42

2 times(x-10)= 42

2(x-10)=42

Figure A is a scale image of Figure B. What is the value of x?

khan academy

Answers

Answer:

maybe 12 because

Step-by-step explanation:

30/25=1.2

10×1.2=12

A store sells ground meat in small, medium, and large sizes. The weights of the small size packages have a mean weight of 1 pound and a standard deviation of 0.1 pound. If the distribution of weights for the small size packages of ground meat is approximately normally distributed, what is the best estimate of the probability that a randomly selected small size package has a weight less than 0.9 pound? Explain how you found your answer.

Answers

Answer:

15.87 %

Step-by-step explanation:

z = (.9-1)/.1 = -1

z score of -1 = .1587

The probability that a randomly selected small size package has a weight of less than 0.9 pounds is 15.87 %

We have given that,

A store sells ground meat in small, medium, and large sizes. The weights of the small size packages have a mean weight of 1 pound and a standard deviation of 0.1 pounds. If the distribution of weights for the small-size packages of ground meat is approximately normally distributed

What is the formula for the z-score?

[tex]Z = \frac{x - \mu}{\sigma}[/tex]

Z = standard score

x = observed value

[tex]\mu[/tex] = mean of the sample

[tex]\sigma[/tex] = standard deviation of the sample

z = (0.9-1)/0.1 = -1

z of -1 = 0.1587

Therefore the value of the z-score is 0.1587.

To learn more about the Z-score visit:

https://brainly.com/question/25638875

#SPJ2

find missing side of triangle

Answers

Answer:

[tex]{ \bf{x = \sqrt{ {12}^{2} - { \sqrt{122} }^{2} } }} \\ x = \sqrt{22} \: in[/tex]

The equation for the circle below is x2 + y2 = 100. What is the length of the
circle's radius?

Answers

Answer:

Step-by-step explanation:

x²+y² =(Radius)²

x²+y² =10². So the radius is 10

Answer:

radius = 10

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 100 ← is in this form

with r² = 100 ( take the square root of both sides )

r = [tex]\sqrt{100}[/tex] = 10

Help 10 points please

Answers

Answer:

R

The radius is the height from the bottom to the top.

help can you please help question a b and c
(with the working out)​

Answers

Answer:

a) 12 'o' clock, b) 30 minutes c) you can do it your answer may differ

Step-by-step explanation:

a) look closely you will see it is 24 hours format, so it is proved she starts going to town at that that time

b) look you there is a downward movement of graph means it shows she is not travelling she is resting done let after 1500 or 3:00pm and before 1600 or 4:00pm point be 3:30 so till 3:30 to 4:00 rested in town

c) answer may differ

pls thank me and mark brainliest if you can

Nimo stayed in town for 100 units(Seconds? Minutes?)

Nimo traveled 1 kilometer in the time of 100 units. He then took a break for 50 units and traveled half of a kilometer over the time of 100 units and took a break for another 100 units. He then traveled back home in 50 units.

What is the y-intercept of the line y = -3x + 7?
O A. -7
O B. 3
O C. 3
O D. 7

Answers

Answer:

Answer would be

D: 7

It’s D which is positive 7

Match the base to the corresponding height.

Answers

Answer:

I can't see the picture

Step-by-step explanation:

SORRY :(

There are 28 marbles in the box. There are 12 red marbles, 10 blue marbles, and 6 yellow marbles. What percent of the marbles are NOT yellow?

Answers

Answer:

There are 28 marbles in the box. Some are red (12), others are yellow (6) and others are blue (10).

If in this box there 28 marbles and 6 of them are yellow, we substract to get the quantity of marbles that aren't yellow: 28-6 = 22

So 22 of the 28 marbles aren't yellow: 22/28, which we can simplify dividing the numerator and denominator by 2: 11/14

Drag each condition to the correct location on the table.
Match each condition to the number of triangles that can be constructed to fit the condition.
condition A: one side
measuring 4 inches,
another side measuring
8 inches, and a third
side measuring 10 inches
condition B: one angle
measuring 60°, another
angle measuring 40°, and
a third angle measuring 90°
condition C: one side
measuring 4 inches,
another side measuring
8 inches, and the angle
between them measuring 70°
condition D: one side
measuring 5 inches,
another side measuring
7 inches, and a third
side measuring 12 inches
condition E: one angle
measuring 30°, another
angle measuring 80°,
and the length of the
included side measuring
8 inches
condition F: one angle
measuring 40°, another
angle measuring 80°, and
a third angle measuring 60° I don't know how to do a pic, but it is no triangle one triangle and many triangle

Answers

Answer:

Condition A= 320 inches

Condition B= 190 Degrees F

Condition C= 2240 inches

Condition D= 350 inches

Condition E= 110 Degrees F 8 inches

Condition F= 180 Degrees F

Step-by-step explanation:

4 inches

8 inches

70 inches

60 D

40 D

90 D

4 inches

8 inches

70 D

5 inches

7 inches

12 inches

30 D

80 D

8 inches

40 D

80 D

60 D

Answer:

Condition A= 320 inches

Condition B= 190 Degrees F

Condition C= 2240 inches

Condition D= 350 inches

Condition E= 110 Degrees F 8 inches

Condition F= 180 Degrees F

Step-by-step explanation:

What are the solutions to the equation?

Answers

Answer:

x = -4 ±3

x = -7,-1

Step-by-step explanation:

x^2 + 8x     = -7

1/2 B ^ 2 = 16

x^2 + 8x  + 16    = 16 -7

(x + 4) ^2 = 9

x + 4 = ±3

x = -4 ±3

x = -7,-1

As x increases by 1 unit, what is the exponential growth factor??

Answers

Given:

The graph of an exponential function.

To find:

The exponential growth factor as x increases by 1 unit.

Solution:

From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.

The general exponential function is:

[tex]y=ab^x[/tex]                 ...(i)

Where, a is the initial value and b is the growth factor.

Putting [tex]x=1,y=1[/tex] in (i), we get

[tex]1=ab^1[/tex]                  ...(ii)

Putting [tex]x=3,y=9[/tex] in (i), we get

[tex]9=ab^3[/tex]                  ...(iii)

Divide (iii) by (ii).

[tex]\dfrac{9}{1}=\dfrac{ab^3}{ab}[/tex]

[tex]9=b^2[/tex]

[tex]3=b[/tex]

b is the the growth factor and the value of b is 3.

Therefore, the exponential growth factor is 3 as x increases by 1 unit.

Answer:

exponential growth factor is 3

Step-by-step explanation:

2. Estimate the square root of the following
(i) 99
(ii) 572
(iii) 11437
(4) 476
(5) 9027
(6) 512375

Answers

Answer:

1..9.9

2....23.9

3...106.9

4....21.8

Step-by-step explanation:

1-9.9

2-23.9

3-106.9

4-21.8

5-95.01

6-715.8

Other Questions
The following equation shows the correct molecules formed in the reaction, but the products are incorrectCH, +20,- H2O + CO2How would you correct the products? two point charges with charge q are initially separated by a distance d. if you double the charge on both charges, how far should the charges be separated for the potential energy between them to remain the same _____ refers to the impact of the change in currency exchange rate on the reported financial statements of a company 18. (a)A football club sells tickets at different prices dependent on age group.The table shows the football ticket prices for the different age groups.Price Age:Under 18 = $1518 to 60 = $35Over 60 = $18At a particular game there were 42 600 tickets sold.14% were sold to people aged under 182/3 of the tickets were sold to people aged 18 to 60The remainder were sold to people aged over 60 find the value of x rounded to the nearest tenth Grammerclass 7th Chapter: Prepositions She is keen __________ pursing higher education in the US. a) atb) on c) with Find the value of x in the kite below.60Ox = [?] Being fully present with others- paying attention to gestures, manner, and silence, as well as to what is said. A 67.3-kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.23 x 103 N/m. He accidentally slips and falls freely for 0.921 m before the rope runs out of slack. How much is the rope stretched when it breaks his fall and momentarily brings him to rest A boat travels to an island and back in 78 minutes. If the speed of the boat going to the island is 14 mph, and its speed returning is 12 mph, how far away is the island The _______ is the muscular wall that makes up the bulk of the heart. The _______ ventricle is the thicker and larger ventricle. The atrium and ventricle of each side are connected by a/an _______valve. A single cardiac cycle consists of the simultaneous contractions of both _______ followed by the simultaneous contractions of both _______. The heart supplies blood to itself via _______ arteries. Contraction of the ventricles (and relaxation of the atria) is called _______, whereas relaxation of the ventricles is called _______. The heart pumps blood to the lungs for oxygenation via the pulmonary _______. Which business structure is subject to the most government rules andregulations?A. PartnershipB. Limited liability companyC. CorporationD. Sole proprietorship Devendra Company pays cash dividends of $600. The entry for this transaction will include a debit of $600 to What is the best candle brand for the cost performance? Type the spelling words that end in -ize, -ity, or -ive.Ending in -ive: Ending in -ize: Ending in -ity: Which statement explains why oxygen molecules easily diffuse across a cellmembrane while DNA molecules do not?A. Oxygen molecules are more useful to a cell than are DNAmolecules.O B. DNA molecules contain carbon atoms, while oxygen moleculeshave only oxygen atoms.C. Oxygen molecules are very small, while DNA molecules are verylarge.D. DNA molecules have phosphate groups that the cell membranerepels. Which of these is not a common feature for all life?a. DNA is the hereditary material.b. Living things adapt to their environment.c. Living things breathe air.d. Living things carry out a series of chemicalreactions known as metabolism. Find the perimeter of quadrilateral ABCD with vertices A(0, 4), B(4, 1), C(1, -3), and D(-3, 0). what are the uses thematic maps Which of the following were effects of some arms race? Select for options.