Find the slope of the line passing through the points (5, -6) and (1, -1).

Answer:

3/11 divided by 3/11 is 1

9/10 divided by 3/5 is 1 1/2 (1.5)

Step-by-step explanation:

Answer:

1

1.5

Step-by-step explanation:

3/11 ÷ 3/11 = 1

9/10 ÷ 3/5 = 3/2 ≈ 1.5

Average rate of return for 3D Printer is 4% and for Truck is 9%.

Average income = Estimated total income/ useful life.

For 3D Printer,

Average Income = 4160/ 4

Average Income = $1040

For Truck,

Average Income = 15120/ 7

Average Income = $2160

Average Investment = (Investment + residual value)/ 2

For 3D Printer,

Average Investment = (52000 + 0)/ 2

Average Investment = $26000

For Truck,

Average Investment = (48000 + 0)/ 2

Average Investment = $24000

Average rate of return = Average Income/ Average Investment

For 3D Printer,

Average rate of return = 1040/26000

Average rate of return = 4%

For Truck,

Average rate of return = 2160/24000

Average rate of return = 9%

Hence, average rate of return for 3D Printer is 4% and for Truck is 9%.

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Answer: 120 members

Step-by-step explanation: So, we know 12 of the members signed up, and 90% of the member did not sign up.

Therefore, 12 members is equal to 10%...

All we have to do now is...

12 * 10 = 120

The club has 120 members in total, I hope this helps!

Answer:

60 inches squared

Step-by-step explanation:

Answer:

hexagon and triangle

Step-by-step explanation:

Answer:

Hexagon- Regular

Triangle- Not regular

The equivalent measure of (315) degrees in radians will be (7π/4) rads.

As per the question statement, we are provided with an angular measure of 315 in the units of degrees,

And we are required to convert the above mentioned angular measure into it's equivalent unit of radians.

To solve this question, first we need to know about the relation between the two units of angular measure, degrees and radians, which goes as,

[180° = (π) rads]

Now using the unitary method and the above conversion reference point, we get,

[180° = (π) rads]

Or, [1° = (π/180) rads],

And, [315° = {(π/180) * 315} rads]

Or, [315° =  {π * (315/180)} rads]

Or, 315° =  [π * {(5 * 7 * 3 * 3)/(3 * 3 * 4 * 5)} rads]

Or, [315° =  {π * (7/4)} rads]

Or, [315° = (7π/4) rads]

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Answer:

50

Step-by-step explanation:

25% = 0.25

200 * 0.25 = 50

Best of Luck!

The adjusted bank balance after reconciling is Br. 5,224.42.

To prepare the bank reconciliation, we have to analyze the differences between the bank statement balance and the company's ledger balance.

Details

Bank statement balance of Br. 4,964.47 at July 31.

Add: Deposit made after banking hours Br. 410.90

New balance: Br. 5,375.37.

Deduct Erroneously charged check of Br. 79

New balance Br. 5,296.37.

Deduct Outstanding checks:

Check No. 801 of Br. 100.00 (issued on June 15).

Check No. 888 of Br. 10.25 (issued on July 24).

Check No. 890 of Br. 294.50 (issued on July 27).

Check No. 891 of Br. 205.00 (issued on July 30).

Total outstanding checks: Br. 609.75.

New balance: Br. 4,686.62.

Deduct: Incorrectly charged amount of Br. 120.

Add: Correct amount of Br. 210.

Add: Proceeds from the collection Br. 500.

Add: Interest earned on the account balance  Br. 24.75.

Deduct: Returned check of Br. 10

Deduct: Fee charged by the bank for handling the collection Br. 5.00.

Deduct: Check from customer John Br. 50.25.

Deduct the service charge by the bank for the month of July of Br. 12.70.

New balance: Br. 5,224.42.

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Answer:

36 pie cubic inches

Step-by-step explanation:

Use the formula: \(V = \frac{4}{3} \pi r^{3}\)

Plug in the value for radius and solve:

\(V = \frac{4}{3} \pi 3^{3}\)

Becuase of the nature of the answer options, you only have to solve to a certain point: \(V = 36 \pi\)

The zeros of the function f(x) = 2x⁴ + 11x³ + 16x² + x - 6 are x = -3, x = -2,

x = -1 and x = 1/2 respectively

The zero of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is the solution to the equation f(x) = 0. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

In the given problem, the zero of the function;

f(x) = 2x⁴ + 11x³ + 16x² + x - 6; -3 are

f(-3) = 2(-3)⁴ + 11(-3)³ + 16(-3)² -3 - 6 = 0

f(-2) = 2(-2)⁴ + 11(-2)³ + 16(-2)² - 2 - 6 = 0

f(-1) = 2(-1)⁴ + 11(-1)³ + 16(-1)² - 1 - 6 = 0

f(1/2) = 2(1/2)⁴ + 11(1/2)³ + 16(1/2)² - 1/2 - 6 = 0

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Answer:

0.0512

Step-by-step explanation:

For each individual, there are only two possible outomes. Either he receives Social Security, or he does not. The probability of an individual receiving Social Security is independent of other individuals. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The number of individuals in the sample is 5.

This means that \(n = 5\)

The probability that an individual receives Social Security is 20%.

This means that \(p = 0.2\)

What is the probability that exactly 3 of the 5 individuals receive Social Security?

This is P(X = 3).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{5,3}.(0.2)^{3}.(0.8)^{2} = 0.0512\)

The constant of variation of the given problem is calculated as; 240 miles

A constant of variation (k) is defined as a ratio that represents the relationship between the independent variable (x) and the dependent variable (y).

Now, we are told that average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. Thus;

s ∝ 1/t

Thus;

s = k(1/t)

where k is the constant of proportionality

we are told that If the train takes 2 hours, and the average speed is 120 mph. Thus;

120 = k(1/2)

Multiply both sides by 2 to get;

240 miles = k

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Answer:

4

Step-by-step explanation:

in base 4

21 = (2 * 4) + (1 * 1) = 9

Answer:

34 units²

Step-by-step explanation:

triangle=1/2×5×2=5

other triangle at the right=5

square 6 ×5= 30

unshaded square= 3×2=6

30-6=24

total=5+5+24=34units²

line A and line B are showing that object A and B are moving with a different rate.

they both are moving with constant speed but we can see that line A has a large slope as compare to line B, that means object A has more speed than the object B.

so the speed of object A is greater than the object B.

Answer:

1/2k-3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/5 k - 3/5 + 1/10 k

like denominators

4/10 k + 1/10 k - 3/5

5/10k - 3/5

1/2k - 3/5

Answer:

A-B=C

A= a house

B=destruction

C= aftermath

Step-by-step explanation:

math is all about repetition. the more you do it and use it, the easier it gets. but burning yourself out by putting in to much time is no good either.

there is not a one sized fits all answer, do what's best for you.

Answer:

I'd say 20 minutes to 4 hours, but it really depends on what you're learning. For example, if you're having trouble with a math subject, you may want to divide it in half and practice a little each day.

Step-by-step explanation:

By analytic geometry, the equations for lines represented by figure are:

In this problem we find the representation of five lines (red - yellow - green - blue - black). There is a horizontal line (green), a vertical line (blue) and three oblique lines (red - yellow - black). According to analytic geometry, we find the following definitions:

The slope for oblique lines is determined by secant line formula:

m = Δy / Δx

Where:

From picture we get the following hints:

Finally, we proceed to find the equations for each line:

Red line

Slope

m = 5 / 2.5

m = 2

Intercept

b = y - m · x

b = 5  - 2 · 0

b = 5

The equation for the red line is y = 2 · x + 5.

Yellow line

Slope

m = - 5 / 1.5

m = - 3.333

Intercept

b = y - m · x

b = 5 - (- 3.333) · 0

b = 5

The equation for the yellow line is y = - 3.333 · x + 5.

Black line

Slope

m = 6 / 3

m = 2

Intercept

b = y - m · x

b = - 6 - 2 · 0

b = - 6

The equation for the black line is y = 2 · x - 6.

Green line

The equation for the green line is y = - 2.

Blue line

The equation for blue line is x = 5.

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Answer:

15 = 3 x 5

75 = 15 x 5

375 = 75 x 5

Thus, the translated coordinates of the vertices of hexagon DEFGHI are D'(-9, 3), E'(-5, 3), F'(-7, 1), G'(-10, 0), H'(-12, 2), and I'(-10, 5).

Hexagon DEFGHI is a six-sided polygon having six vertices and six sides. The translation of hexagon DEFGHI on the coordinate plane is done to create another hexagon. The translation is one of the transformations in geometry that refers to the movement of an object from one location to another without altering its size and shape.

The translation of Hexagon DEFGHI on the coordinate plane means shifting the hexagon by some distance either in the x-direction or y-direction.

To perform a translation of a polygon on the coordinate plane, a vector is needed to move the polygon in a new location.

A vector is a magnitude with a direction.

Translation of a polygon on the coordinate plane is a rigid transformation because the distance between any two vertices of the hexagon does not change after the movement.

In the diagram below, Hexagon DEFGHI is translated three units to the left and two units up, to create the hexagon D'E'F'G'H'I'.

The coordinates of the vertices of the original hexagon

DEFGHI are D(-6, 1), E(-2, 1), F(-4, -1), G(-7, -2), H(-9, 0), and I(-7, 3).

To translate the hexagon, three units leftward and two units upward, add the vector (−3,2) to each vertex's coordinates.

D' = D + (−3,2) = (−6,1) + (−3,2) = (−9,3)E' = E + (−3,2) = (−2,1) + (−3,2) = (−5,3)F' = F + (−3,2) = (−4,−1) + (−3,2) = (−7,1)G' = G + (−3,2) = (−7,−2) + (−3,2) = (−10,0)H' = H + (−3,2) = (−9,0) + (−3,2) = (−12,2)I' = I + (−3,2) = (−7,3) + (−3,2) = (−10,5)

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Answer:

The answer is: 4y(2x+y)

Step-by-step explanation:

Step-by-step explanation:

440÷100×12

52.8

440-52.8

387.2

MARK ME BRAINLIEST PLSSSSSS

The cost price of the article is C = $ 500

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as C

Now , the value of C is

The selling price of the article is given as $440, and we know that the shopkeeper incurs a loss of 12% on the sale

Selling price = Cost price - Loss

Substituting the given values, we get

$440 = C - 0.12C

Simplifying this equation, we get:

$440 = 0.88C

Dividing both sides by 0.88, we get:

C = $500

Hence , the cost price of the article is $500

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Answer:

x=52 Here is y

Step-by-step explanation:

Answer:

a. -2

b. 3

c. 3

d. -3

e. x=-2

Step-by-step explanation:

When a question asks for f(x), it is basically just asking for what the y-value is at the given point of x. So for example, to solve the first one: f(-4), we see that the x-value is -4. This means it is asking for the y-value at x=-4. As we can see from the graph, where x = -4, the y-value is -2 (along the bottom flat line) therefore f(-4) = -2.

This is the same for the other three, f(0) = 3 because the line at x=0 is crossing at y=3. etc.

Finally e is difference because it is instead asking for the x-value when y=6. To solve this we just need to find a point on the graph where the line is at y=6. This, as we can see is at the top of the highest point and occurs where x=-2.

Hope this helped!