Alexandria is practicing her long distance running. On day 0, she can run 2 miles without stopping. She wants to add 1/4 mile to her run each day. What is the slope for this linear relationship?

Answer:

b > 3 2/15

Step-by-step explanation:

To make it easier to solve convert the mixed fraction to a fraction.

2 3/5 = 13/5

Now, multiply the fraction by 3/3 so that you will have a common denominator.

13/5 × 3/3 = 39/15

Now you solve for b.

39/15 < b - 8/15

39/15 + 8/15 < (b - 8/15) + 8/15

47/15 < b

b > 47/15

Convert the fraction to a mixed fraction to find the answer

47/15 = 3 2/15

b > 3 2/15

Answer:

  a) 18.6%

  b) 598,230

Step-by-step explanation:

a) In the first part of the question, you are given two population values and asked to find the percentage difference between them. A formula you can use for that is ...

  percentage difference = (difference)/(original value) × 100%

The difference of interest is the difference between the 2011 population and the 2001 population

  difference = 510,000 -430,000 = 80,000

The original value is the 2001 population, so the percentage difference is ...

  percentage difference = 80,000/430,000 × 100% = 0.1860 × 100% = 18.6%

This is a positive value, so represents an increase.

The percentage increase in population from 2001 to 2011 was 18.6%.

__

b) In the second part, you are given the percentage difference and asked to find the new value. We can rearrange the above formula to find the difference:

  difference = (percentage difference)/100% × original value

Then the difference between the 2021 population and the 2011 population will be ...

  difference = (17.3%)/100% × 510,000 = 0.173 × 510,000 = 88,230

So, the population in 2021 is expected to be 88,230 more than in 2011:

  2021 population = 520,000 +88,230 = 598,230

The predicted population in 2021 is 592,230.

Answer:

Step-by-step explanation:

Hello,

the line passes through (-8,11) means than y = 11 for x  = -8

I believe that you wanted to write the first one as below

[tex]y=-\dfrac{5}{8}x+6[/tex]

in that case for x = -8

y = - 5 * - 1 + 6 = 5 + 6 = 11

hope this helps

The solution is, : y = -5/8x +6, the equation represents the line that passes through (-8,11) and (4,7/2).

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

First we need to find the slope

m = (y2-y1)/ (x2-x1)

   = (7/2 -11)/(4--8)

   = (7/2 - 22/2)/(4+8)

   = (-15/2)/(12)

  = -15/24

Divide top and bottom by 3

  -5/8

Then we can use point slope form to write the equation

y-y1 = m (x-x1)

y- 11 =-5/8(x--8)

y- 11 =-5/8(x+8)

Distribute

y-11 =-5/8 x -5

Add 11 to each side

y-11 = -5/8x -5+11

y = -5/8x +6

Hence, The solution is, : y = -5/8x +6, the equation represents the line that passes through (-8,11) and (4,7/2).

To learn more on Equation 0f Straight-Line click:

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Hey there! I'm happy to help!

To find the volume of a rectangular prism, you simply multiply each of the three different sides!

18×9×17=2754

Therefore, the volume of this rectangular prism is c. 2754 units cubed.

Now you can find the volume of a rectangular prism! Have a wonderful day!

Answer:

1) A rectangular shape

2) Point  (30, 50)

3) (x - 30)² + (y - 50)² = 10²

4) Yes, the swimming pool will touch the flower beds

5) Point (45, 25)

Step-by-step explanation:

1) Given the number of shapes that are rectangles (4) and the number of circular shapes (1) to conserve more space Kylee should drw the swimming pool with a rectangular shape

2)  So as to avoid touching the flowerbeds which are 20 feet apart, the center of the swimming pool will be moved slightly up to (30, 50)

3) The equation that will draw the swimming pool is the equation of a circle, given as follows

(x - h)² + (y - k)² = r²

Where (h, k) is the coordinate of the center of the circle, and r is the radius of the circle,

Given that the diameter, D, of the circle = 20 feet, the radius, r = D/2 = 20/2 = 10 feet

The equation of the circle is therefore;

(x - 30)² + (y - 50)² = 10²

4) The coordinates of the center of the flower bed is (30, 45) which gives

(x - 30)² + (y - 45)² = 10²

Where the coordinates of the side of the flower pot is (20, 45), we have;

(20 - 30)² + (45 - 45)² = 10²

(-10)² = 10² = r²

Hence, point (20, 45) is on the circle

The other flower bed side has coordinates (40, 45) which gives

(40 - 30)² + (45 - 45)² = 10²

10² = r² = 10²

Point (40, 45) is also on the circle

Therefore, the swimming pool will touch the flower beds

5) At point (45, 25), we have;

(x - 45)² + (y - 25)² = 10²

The closest point is the patio with coordinates (40, 15) which gives;

(40 - 45)² + (15 - 25)² = 10² = 100

(-5)² + (-10)² = 125 > 100

Therefore, point (40, 15), is not on the circle.

Answer:

I believe the unit price would be 2.39 per unit

Step-by-step explanation:

Answer:

To create the sketch of a polynomial function there are key features are necessary and these are the vertex, axis of symetry, x and y intercepts

Step-by-step explanation:

To create the sketch of a polynomial function there are key features are necessary and these are the vertex, axis of symetry, x and y intercepts

One of the key features arte the vertex and this shows where it changes concativity.

While the x and y intercepts give you a couple of points of reference.

Also, the axis of symetry is only applicable to even degree polynomials

Answer:

Step-by-step explanation:

The area of a parallelogram is equal to the product of the length of its side and the height of the parallelogram perpendicular to that side.

H = 9 cm

S = 21 cm

A = S•H = 21 cm • 9 cm = 189 cm²

Answer:

See below.

Step-by-step explanation:

[tex](6a+3b)(a-b)\\[/tex]

Distribute:

[tex]=(6a+3b)(a)-(6a+3b)(b)\\=6a^2+3ab-(6ab+3b^2)\\=6a^2+3ab-6ab-3b^2\\=6a^2-3b^2-3ab[/tex]

Answer:

6a^2-3b^2-6ba+3ba

Step-by-step explanation:

(6a+3b)(a+b)....expand the term

6axa - 6axb + 3bxa - 3b×b ....simplify

6a^2 - 6ba + 3ba - 3b^2, then reorder so highest order terms come first

6a^2 - 3b^2 - 6ba + 3ba

Answer:

2.5, -1.8

Step-by-step explanation:

½(x¹+x²) ,½(y¹+y²)

½(3.5+1.5) ,½(2.2+(-4.8)

½(5.0), ½(2.2-4.8)

2.5 ,½(-3.6)

2.5, -1.8

Answer: It’s 2.5, -1.3, the other person must’ve misclicked lol

Answer: If a scatterplot is included in the assignment

The dots plotted on the graph might closely follow the graph of exponential decline. There is a large number of texts per day by 19-20-21 year-olds, but the number seems to decline exponentially as age increases. With a little work, it may be possible to plot the curve and write an equation to model the decline.

Step-by-step explanation:  Look at some graphs of exponential decay. Also consider harmonic and hyperbolic decay. The trend in the data is evident. The main challenge is to look at the data and create an equation that models it.

Answer:

19.5 km

Step-by-step explanation:

the actual distance between Harry and the Sea view:

if 24 km is 5 cm on map

24*4/5= 19.5 km

Answer:

La cantidad de cartón necesaria para hacer el sólido es de 165 m² de cartón.

Step-by-step explanation:

La figura en la pregunta consta de tres formas

1) Una pirámide cuadrada

Altura inclinada = 5 m

Longitud lateral base = 3 m

2) un cubo

Longitud lateral, s = 3 m

3) Un prisma rectangular

Longitud = 6 m

Altura = 3 m

Ancho = 3 m

El área de superficie de la pirámide cuadrada, [tex]S_P[/tex] = 2 × Altura inclinada × Longitud del lado base

[tex]S_P[/tex] = 2 × 5 × 3 = 30 m²

El área de superficie del cubo, [tex]S_C[/tex] = 6 ×(Longitud lateral, s)²

[tex]S_c[/tex] = 6 × 3² = 54 m²

El área de superficie del prisma rectangular, [tex]S_R[/tex] = 4 × largo × alto + ancho × alto

[tex]S_R[/tex] = 4 × 6 × 3 +  3 × 3 = 81 m²

La cantidad de cartón necesaria para hacer el sólido, [tex]S_S[/tex] = [tex]S_P[/tex] +  [tex]S_C[/tex] +  [tex]S_R[/tex]

[tex]S_S[/tex] = 30 + 54 + 81 = 165 m².

La superficie del cartón necesaria para construir el sólido es de 165 m².

Answer:

A. 141.4 cm

Step-by-step explanation:

The piramide is 141.4cm

Answer:

Nathan weighs 12 more pounds than Marty.

Step-by-step explanation:

If Marty weighs 64 pounds and Nathan weighs 76 pounds, we can subtract the weight of Marty from Nathan to get our answer.

[tex]76-64=12[/tex]

In case Nathan was actually 476 pounds, the answer would be 412.

Step-by-step explanation:

hope it will help you..........

Answer:

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent.

m∠MNP = 90° so we can use Pythagorean theorem:

[tex]MN^2+NP^2=MP^2\\\\MN^2+48^2=50^2\\\\MN^2+2304=2500\\\\MN^2=196\\\\MN=\sqrt{196}\\\\MN=14\,ft[/tex]

Answer:

x=1

x=-2

Step-by-step explanation:

(3x-3)(x+2)

x=1

x=-2

Answer:

16

Step-by-step explanation:

perimeter of B = 21

divide by 3 to get each side: 21/3 = 7 = Y

perimeter of hexagon is 50. subtract 2Y: 50 - 14 = 36

divide 36 by 4 to find X = 9

add X + Y

Answer with explanation:

Given: Charlie is laying down mulch in his front yard. It takes Charlie 4 minutes to lay down 11 cubic yards of mulch and  16 minutes to lay down 44 cubic yards of mulch.

Here, Time(Independent variable (x)) is directly proportion to the Volume of mulch(dependent variable (y)) lied by Charlie.

Let k be the constant of proportionality, such that

[tex]k=\dfrac{y}{x}[/tex]

For x= 4 and k= 11, [tex]k=\dfrac{11}{4}[/tex]

Required equation: [tex]y=\dfrac{11}{4}x[/tex]                        

Two points are given in question: (4,11) , (16,44).

Take x= 8 , [tex]y=\dfrac{11}{4}(8)=22[/tex]i.e. point (8,22)

Similarly, for x= 12, y=33 i.e. point (12, 33)

For x= 20 , y= 55 i.e. point (20,55)

Five data points: (4,11) , (16,44), (8,22),  (12, 33), (20,55).

Now, we plot these points on graph and join them

Answer:

Here

Step-by-step explanation:

Answer:

  x = 5 is the solution

Step-by-step explanation:

See the attachment for table values.

  f(x) = g(x) for x = 5

The solution to the equation ...

  2.5x -10.5 = 64(0.5^x)

is x = 5.

Answer:

yes it is a function

Step-by-step explanation:

Mathematics

In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Answer:

False

Step-by-step explanation:

A function has only 1 y value for any given x value.

You can use the "vertical line test" to check if a graph is of a function.  Move a vertical line (you can use the edge of a ruler) from left to right across the graph.  If at any point the line intersects the curve in two or more places, the curve is not a function.

Answer:

Step-by-step explanation:

This is a probability question and we have to calculate the sample size.

given the sample size S= 30

3 rode a bike

7 drove a car

20 rode bus

The probability of selecting a person that will take a bus is

[tex]Pr(bus)= 20/30= 2/3[/tex]

Answer: 10x454x0.55=2,497 grams of fruit

Answer:

Step-by-step explanation:

Given question is incomplete; here is the complete question.

∆ PQR shown in the figure below is transformed into ∆ STU by a dilation with center (0, 0) and a scale factor of 3.

Complete the following tasks,

- Draw ΔSTU on the same set of axes.

- Fill in the coordinates of the vertices of ΔSTU.

- Complete the statement that compares the two triangles.

When ΔPQR is transformed into ΔSTU by a dilation with center (0, 0) and a scale factor of 3,

Rule to followed to get the vertices of ΔSTU,

(x, y) → (3x, 3y)

P(1, 1) → S(3, 3)

Q(3, 2) → T(9, 6)

R(3, 1) → U(9, 3)

Length of QR = 2 - 1 = 1 unit

Length of PQ = [tex]\sqrt{(3-1)^2+(2-1)^2}=\sqrt{5}[/tex] units

Length of PR = 3 - 1 = 2 units

Length of ST = [tex]\sqrt{(9-3)^2+(6-3)^2}=3\sqrt{5}[/tex] units

Length of TU = 6 - 3 = 3 units

Length of SU = 9 - 3 = 6 units

Therefore, ratio of the corresponding sides of ΔPQR and ΔSTU,

[tex]\frac{\text{PQ}}{\text{ST}}=\frac{\text{QR}}{\text{TU}}=\frac{\text{PR}}{\text{SU}}[/tex]

[tex]\frac{\sqrt{5}}{3\sqrt{5}}=\frac{1}{3}=\frac{2}{6}[/tex]

[tex]\frac{1}{3}=\frac{1}{3}=\frac{1}{3}[/tex]

Since ratio of the corresponding sides are same,

Therefore, ΔPQR and ΔSTU are similar.

Answer:

No, it doesn't make sense because the output is not feasible.

Step-by-step explanation:

We are told that the function g(x) represents the number of items collected.

Now, we are also told that x is the number of people who donated.

Now, if we want to consider a possible solution of (60, 10) .

It means, we now have; g(60) = 10

This means that 60 people donated and 10 items were collected.

It doesn't make sense that 60 people donated items and only 10 items were available to be collected.

Thus, we can say that ;

No, it doesn't make sense because the output is not feasible.

Answer: I just did it and the answer is 0.43

Step-by-step explanation:

Using it's concept, it is found that the probability that the person is from Texas given that the person prefers Brand b is given by:

A. 0.43.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 105 people prefer brand B, and of those, 45 are from Texas, hence:

p = 45/105 = 0.43.

Which means that option A is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

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Answer:

a. 24

b.600

c.36

d. No

Step-by-step explanation:

a.You know the approximate number of gallons is about 24 gallons because each tank holds twelve and your family used 2 of them.

b. You know you drove about 600 miles. This is because you used 24 gallons And each gallon should get you 25 miles. multiply The 2 together to get 600 miles. Or you could set a thing like 1/25=24/x and solve for x.

c. It cost 36 dollars because each gallon is 1.5 and you used 24 gallons so mul the two together to get 36

d. First find the amount of gallons used by dividing 350 by 25 to get 14. Then multiply 14 by 1.5 to get 21. 21 is greater than 20 so you don’t have enough money.

Answer:

Congressman Stevens will win the race

Step-by-step explanation:

Considering the margin of error, the possible outcomes for each candidate would be:

Congressman Stevens: from (54 - 3)% to (54+3)%

Challenger Jones: from (44 - 3)% to (44+3)%

Congressman Stevens: from 51% to 57%

Challenger Jones: from 41% to 47%

Therefore, even considering the margin of error, the pollster would be able to safely predict that Congressman Stevens will win the race.

Answer:

5

Step-by-step explanation: