Find the distance between the pair of points given on the graph

Answer: √58

Step-by-step explanation:

Distance (d) = √(-2 - 1)2 + (3 - -4)2

= √(-3)2 + (7)2

= √58

Answer: number of adults = 3, number of children = 5

Step-by-step explanation:

let the number of adults be x, and the number of children be y.

x + y = 8 , 15x + 8y = 85

1st equation x 8 = 8x + 8y = 64

\(8x+8y-15x-8y = 64 - 85\\-7x = -21\\x=3\)

substitute x=3

\(3+y=8\\y=5\)

The tile of the given picture above would be =

N= $96

A= $225

W= $1200

D= $210

E= $31.50

R= $36

P = $27

S = $840

Therefore the title of the picture above would be = SPDERWNA.

To determine the tile of the picture, the different codes needs to be solved through the following calculations as follows:

For N =

Simple interest = Principal×time×rate/100

principal amount= $800

time= 2 years

rate = 6%

SI= 800×2×6/100

= $96

For A=

principal amount= $1,250

time= 2 years

rate = 9%

SI= 1,250×2×9/100

= $225

For W=

principal amount= $6,000

time= 2.5 years

rate = 8%

SI= 6,000×2.5×8/100

= $1200

For D=

principal amount= $1,400

time= 3 years

rate = 5%

SI=1,400×3×5/100

=$210

For E=

principal amount= $700

time= 1years

rate = 4.5%

SI=700×4.5×1/100

= $31.50

For R=

principal amount= $50

time= 10 years

rate = 7.2%

SI= 50×10×7.2/100

= $36

For O=

principal amount= $5000

time= 3years

rate = 12%%

SI=5000×3×12/100

= $1,800

For P=

principal amount= $300

time= 0.5 year

rate = 18%

SI= 300×0.5×18/100

= $27

For S=

principal amount= $2000

time= 4 years

rate = 10.5%

SI= 2000×4×10.5/100

= $840

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Answer:

y=6x-23

Step-by-step explanation:

Step-by-step explanation:

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

m = (-5 -1)/(3-4) = -6/-1 = 6

y = 6x + b

then

slope point form

y - y1 = m (x - x1)

y - 1 = 6 (x - 4)

y - 1 = 6x - 24

y = 6x - 23

Answer:

Hello!

a) Melody's average 4 year salary = (56,000 + 60,000 + 73,000 + 75,000) / 4

= 264,000 / 4

= 66,000

So, Melody's average 4 year salary is $66,000.

Step-by-step explanation:

Melody has worked for 30 years at Fancy Pet magazine and is planning to retire at the end of the year. As per her employer's pension formula, she will receive 2.5% of her average salary over the last four (4) years of employment for every year worked.

To calculate Melody's average salary over the last four years, we first need to add up her salary from the last four years: 56,000 + 60,000 + 73,000 + 75,000 = 264,000. Then, we divide this sum by 4 to find the average: 264,000 / 4 = 66,000.

Therefore, Melody's average 4 year salary is $66,000. With this information, we can calculate the amount of pension she will receive based on her years of employment and the pension formula offered by her employer.

According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.

Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.

Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.

Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.

So, Will could have put 8 ounces of water in each cup.

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Answer:

p=i/rt

Step-by-step explanation:

its p= i over rt

Answer:

ikr its harddddd

Step-by-step explanation:

Answer:

i like math but i can help u with urs if u send me a message thru brainly

thx 4 free points

plz give brainliest

Answer:

its c  look at god

Step-by-step explanation:

The answer to the question is an option D.

The numerical value that represents the part of the whole is termed a Fraction. A fraction consists of a numerator and a denominator. The numerator is the parts taken out from the whole and the denominator refers to the total part of the whole.

Example  =  \(\frac{4}{7}\) where 4 is the numerator and 7 is the denominator.

As per the question,

\(\dfrac{\frac{5}{7}}{\frac{1}{3}} = \dfrac{5 \times 3}{7 \times 1}\)

\(= \dfrac{15}{7}\)

Thus the value of the option  D is correct  i. e.

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Answer:

1 + 1 = 2

2 × 2 = 4

4 + 1 = 5

5 × 2 = 10

10 + 1 = 11

11 × 2 = 22

Answer:

Add 1 then multiplying by 2

Step-by-step explanation:

As you can see, from 1 to 2 is an addition of 1, then from 2 to 4 is a multiplication of 2.

Check the picture below.

a)There are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

a)Set A has m elements and set B has n elements

Firstly determine the number of elements A*B by using the multiplication rule

Number of elements\(=A*B=m*n=mn\)

For each element, \(A*B\) we have two option

First element 2 ways

Second element 2 ways

mn element 2 ways

By using the multiplication rule

\(2*2*2......=2^m^n }\)

Then there are \(2^m^n\) possible relation

b)Similarly \(n^m\)

c)\(\frac{n^m}{2^m^n}\)

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The percentage of 65 out of 140 will be 46.428%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

\(\text{Percentage (P) = [Final value - Initial value] / Initial value x 100}\)

The whole numbers are 65 and 140.

Then the percentage is written as,

\(P = (65 \div 140) \times 100\)

\(P=0.46428 \times 100\)

\(P=46.428\%\)

The percentage of 65 out of 140 will be 46.428%.

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Answer: divided by 3

Step-by-step explanation: x is rise y is run

Answer:

The answer is 1/3

Step-by-step explanation:

y2 - y1 0 - (-1)

_______ = ______ = 1/3

x2 - x1 0 - (-3)

The correct option is A, equilibrium price increases from $6 to $8.

In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.

Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.

If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).

From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.

So the correct answer is: equilibrium price increases from $6 to $8.

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Answer:

\( p = \dfrac{q - 4r}{3} \)

Step-by-step explanation:

3p + 4r = q

3p = q - 4r

\( p = \dfrac{q - 4r}{3} \)

Answer:

\(p=\frac{q}{3} - \frac{4}{3}r\)

Step-by-step explanation:

If we want to solve for p, our ultimate goal is to isolate it one one side of the equation.

Given \(3p + 4r = q\), we can do a few actions on it to isolate the variable.

Divide both sides by 3:

\(p + \frac{4}{3}r = \frac{q}{3}\)

Subtract \(\frac{4}{3} r\) from both sides:

\(p = \frac{q}{3} - \frac{4}{3}r\)

Hope this helped!

As a result, the area of the surface formed by rotating the given curve about the x-axis throughout the period [9, 20] is 864π.

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Here,

The area of the surface generated when a curve is revolved about an axis is known as the surface area of revolution and can be calculated using the formula:

A = 2π ∫ y dx

where y is the equation of the curve being revolved and the integral is taken over the interval [a,b] in which the curve is being revolved.

In this case, the curve is given by y = 8√x on the interval [9, 20]. So, the surface area of revolution is:

A = 2π ∫_9^20 8√x dx

This integral can be evaluated using substitution. Let u = √x, so that du = dx / 2√x and x = u^2. Then:

A = 2π ∫_3^4 8u * 2u du

= 2π * 8 * ∫_3^4 u^2 du

= 2π * 8 * [u^3/3]_3^4

= 2π * 8 * (64/3 - 27/3)

= 2π * 8 * (37/3)

= 864π

So, the area of the surface generated when the given curve is revolved about the x-axis over the interval [9, 20] is 864π.

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Answer: The absolute value of |-10| is 10

Step-by-step explanation: The absolute value of something is the distance from the point to the 0 unit so from -10 to 0 its 10 units.

Answer:

B. uv = 2.24 and u*v = 5.00

Step-by-step explanation:

The scalar projection uv and the dot product u · v will be 2.24 and 5. Then the correct option is B.

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

Given u = ⟨1, 3⟩, v = ⟨2, 1⟩, and cos(θ) = √2 / 2, where θ is the angle between the vectors.

Then the scalar projection uv and the dot product u · v will be

The dot product will be

u·v = ⟨1, 3⟩·⟨2, 1⟩

u·v = 2 + 3

u·v = 5

Then the projection will be

uv = (u·v) / ||v||

uv = 5 / |√(2² + 1²)|

uv = 2.236 ≈ 2.24

Then the correct option is B.

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a. The rate of change is 2.25. b. It would cost $38.25 to ride 20 miles in the taxi. c. You can ride about 9.86 miles in the taxi with $20.

Using symbols and variables, a mathematical function may be represented using function notation. It includes expressing the function as f(x), where x is the independent variable or input value and f is the function's name. The symbol f(x), which may also be interpreted as "f of x," stands for "the value of the function f at the value x". We may find the value of the function f, which is the dependent variable or output value, by supplying the value of x. When a function has a complex formula or contains many variables, function notation provides a clear and practical approach to represent mathematical connections.

Given that the equation of the line is y = 1.80x +2.25.

In the given equation, 2.25 indicates the first drop on the meter or the set fare for a taxi, which is charged regardless of how far you go.

b. For x = 20 mile we have:

y = 1.80(20) + 2.25 = 36 + 2.25 = 38.25

c. Solving for x for $20 we have:

20 = 1.80x + 2.25

1.80x = 20 - 2.25

1.80x = 17.75

x = 9.8611.

Hence, it would cost $38.25 to ride 20 miles in the taxi. c. You can ride about 9.86 miles in the taxi with $20.

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Answer:

5/3

Step-by-step explanation:

2 2/3 * 5/8

~Turn both into improper fractions

8/3 * 5/8

~Multiply

40/24

~Simplify

5/3

Best of Luck!

The Annual Percentage Yield (APY) in this situation is approximately 2.454%.

To find the Annual Percentage Yield (APY) in this situation, use the formula:

\(APY = (1 + r/n)^n - 1\)

where:

- r is the annual interest rate (APR) expressed as a decimal,

- n is the number of compounding periods per year.

In this case, the APR is 2.42% or 0.0242 (expressed as a decimal), and the interest is compounded monthly, so there are 12 compounding periods per year (n = 12).

Substituting these values into the formula,

\(APY = (1 + 0.0242/12)^{12} - 1\)

Calculating this expression:

\(APY = (1 + 0.002017)^{12} - 1\)

  \(= (1.002017)^{12} - 1\)

   ≈ 0.02454 or 2.454%

Therefore, the Annual Percentage Yield (APY) in this situation is approximately 2.454%.

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Answer:

m = \(\frac{2}{3}\) , b = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Given

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide all terms by - 3 )

y = \(\frac{2}{3}\) x - 2 ← in slope- intercept form

with slope m = \(\frac{2}{3}\) and y- intercept b = - 2

Answer:

y- intercept is (0, -2)

slope is 2/3

Step-by-step explanation:

find 2 points on the line:

2x-3y=6

1/2*(6+3y) =x

if y is 2, x is 6 ((6,2))

if y is 4, x is 9 ((9, 4))

y-intercept is when x = 0.

0-3y=6

y=-2

slope is (y2-y1)/(x2-x1): choose y2 and the corresponding x-coordinate is x2. then the others are the 1's. let's use 4 as y2 which means:

x2 = 9

x1 = 6

y1 = 2

then plug in and solve.

(4-2)/(9-6)

= 2/3

m = 2/3

Hope this helps!

Answer:

The interest rate is 6.5%.

Step-by-step explanation:

Substitute the values in to the formula, I = Prt:
\(546 = (1200)(r)(7)\)

Solve for r by isolating:
\(r = \frac{546}{8400}\)

Simplify:
\(\frac{546}{8400} = 0.065\)

Answer:

Area if figure = 22 m²

Step-by-step explanation:

Given:

Length of rectangle = 8 m

Width of rectangle = 1 m

Base of triangle = 8 m

Height of triangle = 3.5 m

Find:

Area if figure

Computation:

Area if figure = Area of rectangle + Area of triangle

Area if figure = [l x b] + [(1/2)(b)(h)]

Area if figure = [8 x 1] + [(1/2)(8)(3.5)]

Area if figure = 8 + 14

Area if figure = 22 m²

Answer:

2 plain folders and 7 folders with cartoons

Step-by-step explanation:

Given data

Let the number of plain folders be x

and the number of folders with cartoons  be y

x+y=7------------1

x+2y=12----------2

from 1

x= 7-y

put this in 2

7-y+2y=12

7+y= 12

y= 12-7

y=5

Put y=5 in 1

x+5= 7

x= 7-5

x= 2

Hence Ayin bought 2 plain folders and 7 folders with cartoons

Answer:

C

Step-by-step explanation: