8. Find the slope of the line containing the points (-3,-3) and (-2,1).

Answer:There is a negative relationship between the price level and the total quantity of goods and services demanded, all other things unchanged. The negative slope of the aggregate demand curve suggests that it behaves in the same manner as an ordinary demand curve.

solve  -6x2-3x+12 dived by 3x-3 using pemdas

Step-by-step explanation:

The question is how to divide this this is how to solve it

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Solution :

Given :

There are five cities in a network and the cost of \(\text{building}\) a road directly between \(i\) and \(j\)  is the entry \(a_{i,j}\)

\(a_{i,j}\)  refers to the matrix.

Road cannot be built because there is a mountain.

The given matrix :

\(\begin{bmatrix}0 & 3 & 5 & 11 & 9\\ 3 & 0 & 3 & 9 & 8\\ 5 & 3 & 0 & \infty & 10\\ 11 & 9 & \infty & 0 & 7\\ 9 & 8 & 10 & 7 & 0\end{bmatrix}\)

The matrix on the left above corresponds to the weighted graph on the right.

Using the \(\text{Kruskal's algorithm}\) we can select the cheapest edge that is not creating a cycle.

Starting with 2 edges of weight 3 and the edge of weight 5 is forbidden but the edge is 7  is available.

The edge of the weight 8 completes a minimum spanning tree and total weight 21.

If the edge of weight 8 had weight 10 then either of the edges of weight 9 could be chosen the complete the tree and in this case there could be 2 spanning trees with minimum value.

Answer:

Step-by-step explanation:

Answer:

2009

Step-by-step explanation:

1 4nv

Answer:

Hiiiiii

Step-by-step explanation:

Thank you so much

Answer:

The graph that represents the solution to X > 1/2 is the graph where the line is vertical, passing through x = 1/2, and all the points to the right of this line are shaded. This is because the inequality X > 1/2 means that X can take any value greater than 1/2, but not including 1/2.

√2500 evaluates to 50 because the number of ice cream cones cannot be negative.

Given that √2500 represents the number of ice cream cones an ice shop sells in one Saturday

Let's evaluate the square root:

√2500 = ± √2500

            = ± 50

            = 50 or -50

Thus, the number of ice creams cones = 50  

(Note: √2500 is -50 or 50 because (-50)² = 2500 and (50)² = 2500)

The number of ice cream cones is 50 because the number of ice cream cones cannot be negative.

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Answer:

1:2 ratio i think

Step-by-step explanation:

10+15+25=50

25 mins lifting weights

25:50 simplifies to 1:2

hope this helps!

Answer:

the answer is d

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Answer:

1.63 lb

Step-by-step explanation:

1.625 \|\ the five would round the two up to a three

1.63

The diameter of the second pile of phosphate is found to be approximately 62.6 feet.

The volume of a right circular cone is given by the formula,

V = (1/3)πr²h where volume is V, radius of the base is r, height is h, and π is approximately 3.14159. For the first pile of phosphate,

h = 15.3 feet

d = 48.6 feet

r = d/2 = 24.3 feet

Using the formula for the volume of a cone,

V = (1/3)πr²h

V = (1/3)π(24.3)²(15.3)

V = 24,249.8 cubic feet

For the second pile of phosphate,

h = 15.3 - 3.6 = 11.7 feet

r = ? (to be determined)

Using the same formula for the volume of a cone,

V = (1/3)πr²h

V = (1/3)πr²(11.7)

Since the volume of both piles is the same, we can set the two volume formulas equal to each other,

(1/3)π(24.3)²(15.3) = (1/3)πr²(11.7)

Simplifying,

(24.3)²(15.3) = r²(11.7)

r² = (24.3)²(15.3)/11.7

r = 31.3 feet (rounded to the nearest tenth)

Therefore, the diameter of the second pile of phosphate is d = 2r = 62.6 feet (rounded to the nearest tenth).

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Complete question - As phosphate is mined, it moves along a conveyor belt, falling off of the end of the belt into the shape of a right circular cone, as shown.

Height of the cone is 15.3 feet

Diameter of the base of cone is 48.6 feet

A shorter conveyor belt also has phosphate falling off of the end into the shape of a right circular cone. The height of the second pile of phosphate is 3.6 feet shorter than the height of the first. The volume of both piles is the same. To the nearest tenth of a foot, what is the diameter of the second pile of phosphate?

Answer:

Kindly check explanation

Step-by-step explanation:

Assuming a normal distribution :

Sample (x) :25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Null hypothesis : μ = 25

Alternative hypothesis : μ > 25

α = 0.05

Decision region :

Reject Null if :

t0 > t

t can be obtained from the t distribution table at : df = (n - 1) = 10 - 1 = 9 ; α = 0.05

Hence, t(0.05, 9) = 1.833

From the sample given ; t0

t0 = (m - μ) / (s /√n)

n = sample size = 10

s = sample standard deviation

m = sample mean

Using calculator :

25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Sample mean(m) = 26

Sample standard deviation (s) = 1.624

t0 = (26 - 25) / (1.624 /√10) = 1.947

1.947 > 1.833

Hence, reject Null

B)

Confidence interval at 90% ; α = 0.1

m ± t(0.1/2 ; 9) * s/√n

m - t * s/√n ≤ μ ≤ m + t * s/√n

26 - 1.833 * (1.624/√10) ≤ μ ≤ 26 + 1.833 * (1.624/√10)

25.059 ≤ μ ≤ 26.941

Answer:

  14

Step-by-step explanation:

Look for 10 in the f(x) column. This is the output value.

Find the corresponding value in the x-column. This is the input for that output value.

The input that corresponds to an output of 10 is x=14.

\(\cfrac{2x^3}{x+5}\div \cfrac{x-5}{3x-1}\implies \underset{\textit{difference of squares}}{\cfrac{2x^3}{x+5}\cdot \cfrac{3x-1}{x-5}}\implies \cfrac{6x^4-2x^3}{x^2 - 5^2}\implies \cfrac{6x^4-2x^3}{x^2 - 25}\)

Answer:

It will take 100 minutes (an hour and 40 mins)

Step-by-step explanation:

Just add 60 and 40 and you will get 100 mins.

Answer:

a

Step-by-step explanation:

its a

Answer:

A

D

E

is the correct answer

Answer:

A

D

E

Step-by-step explanation: it was right on khan academy so I think it is right

Answer:

56$ per year

Step-by-step explanation:

Answer:

7%

Step-by-step explanation:

So basically

I=$800 times 9% times 3 = 216$

$216 + 800 =/ $968

try: $968 - $800=168 (interest paid)

$168 = $800 times r times 3

$ 168 divided by $800 times 3 +r

hope this helps :-)

About 14,586 will the population be in 4 years.

About 9,872 was the population 4 years ago.

Assuming an exponential function

\(f(x) = 12,000(1 + 0. 05)^x\)

(Where x is the number of years and f(x) is the population of fish in a lake.)

Put x = 4 in the function to determine the population in 4 years:

\(If, x=4,\\f(4) = 12,000(1 + 0. 05)^4\\f(4) = 12,000(1 . 05)^4\\f(4) = 12,000(1.21550625)\\f(4) = 14586.075\\f(4) = 14586approx\)

Add x = -4 to the function to determine the population four years ago:

\(If, x=-4,\\f(-4) = 12,000(1 + 0. 05)^{-4}\\f(-4) = 12,000(1. 05)^{-4}\\f(-4) = 12,000(0.8227024748)\\f(4) = 9872.429698\\f(-4) = 9872approx\)

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Answer:

The item when it is costs $50 and there is a 55% item, as the cost would be $22.50

Step-by-step explanation:

Whenever a discount is offered on a certain item, we can find the new price of the item using the formula.

\(N(P)=O-(P*O)\), where N(P) is the new price (price when discount is applied), P is the percentage (converted to a decimal to simplify the problem), and O is the old price (price before discount is applied)

First store:  Since the item costs $60 (O) at this store and there is a 60% discount (60% becomes 0.60 and is our P value), we can find the new price aka N(P):

\(N(0.60)=60-(0.60*60)\\N(0.60)=60-36\\N(0.60)=24\)

Second store:  For this store, our O value is $50, and our P value is 0.55 (55% becomes 0.55):

\(N(0.55)=50-(0.55*50)\\N(0.55)=50-27.50\\N(0.55)=22.50\)

Thus, the second store has the better price

Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.

When x = 1, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(1) = ln(1).

f(1) = 0.

When x = 2, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(2) = ln(2).

f(2) = 0.69314718

When x = 1, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(1) = log₂(1)

g(1) = 0.

When x = 2, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(2) = log₂(2)

g(2) = 1.

In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.

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Answer:

  XY is tangent to circle Z

Step-by-step explanation:

You want to know if segment XY, measuring 3.6 units, is tangent to circle Z at point X. Segment YZ has length 1.8 units outside the circle, which has radius 2.7 units.

If the triangle XYZ is a right triangle, then we have ...

  XY² +XZ² = YZ²

  3.6² +2.7² = (1.8 +2.7)²

  12.96 +7.29 = 20.25 . . . . . true

Segment XY is a tangent.

If segment YZ is extended across the circle, the lengths of the segments from Y to the circle intersection points are 1.8 and (1.8 +2·2.7) = 7.2. The relation between the secant and the "tangent" will be ...

  3.6² = (1.8)(7.2) . . . . . true

This means XY is a tangent.

The value of 'n' is 18 in the given equation 8n - 5 = 139.

We have to find the value of 'n'.

To do so, we need to solve the given equation.

Let us see how we can solve the given equation.8n - 5 = 139

We need to find the value of 'n'.

Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.

To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18

Therefore, the value of 'n' is 18.

Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.

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Answer:

4 is in the tenths place. 9 is in the ones. 5 is in the hundredths. 3 is in the thousandths.

Answer:

y=720.622*(1.039)^t

1057 individuals

Step-by-step explanation:

use desmos to make a table and use the equation

y1~a*b^x1

that will give you an equation and you plug in 10 for x since x is the number of days

Answer:

$22.36

Step-by-step explanation:

The shirt that costs her $26 had the seller take 14 percent off the price.

So instead of paying 100% of the $26, payed 100-14 = 86% of the $26.

How much did she end up paying?

    % to $

100% is $26

 86% is $ x

Cross multiply to find x:

x= (86*26) /100 = $22.36

Answer:

(7x^2 -1)(x - 2).

Step-by-step explanation:

7x^3 - 14x^2 - x + 2

We can factor this by grouping - that is factoring the first 2 terms and the last 2:

= 7x^2(x - 2)  - 1(x - 2)      <-- the x - 2 is common to both parts so we have:

(7x^2 -1)(x - 2).

The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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