help me i need to do this

Answer:

4.61

Step-by-step explanation:

4.00 is the same as 4

4.00

0.61

--------+

4.61

Answer:

321,800 cm. (Rounded)

Step-by-step explanation:

2 × 160,900 = 321,800

There are 160,900 centimeters in one mile, so you must multiply that by 2 and round.

The sale price before taxes and after discount is $1,430.

Given that A couch with a list price of $2200 will be discounted 35 % at the time of purchase and asked to find the sale price before taxes.

The original cost of the couch=$2200

The discount percentage=35 %

I.e. 35 % of $2200 is $770

The discount given to the customer will be 35% i.e. $770

⇒The selling price will be $770 less than the original cost price.

As a result, the selling price will be =$2200-$770

The Selling price of the couch is $1,430

Therefore,The sale price before taxes and after discount is $1,430.

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The acceleration of the object is found as 14 m/s².

Newton's second law states that acceleration of an object is determined by two variables: the net force acting on it and its mass.

The formula for the Newton's second law is;

F = ma

F = acting force in Newton

m = mass of the body in Kg.

a is the acceleration in m/s².

The mass of 7 kg accelerates with 10m/s².

Force acting on it is;

F = ma

F = 7×10

F = 10 N.

The same force is acting on the body of mass 5 kg.

F = ma

a = F/m

a = 70/5

a = 14 m/s².

Therefore, the acceleration of the body is found as 14 m/s².

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The dimensions of the rectangular garden are 29 feet by 23 feet .

A rectangle is a quadrilateral with parallel opposite sides and equal angles. There are a lot of rectangular objects all around us. Any rectangular form's two defining characteristics are its length and width. A rectangle's longer and shorter sides are its width and length, respectively.

The area of a rectangle is given by length × width

Now the given area of the rectangle is 667 ft² .

Let the width of the rectangle is x ft. Therefore length = x + 6

Now area of the rectangle is x (x+6) = x² + 6 x

Therefore x² + 6 x = 667

or,  x² + 6 x - 667  = 0

or, (x-23)(x+29) = 0

Either x = 23 or x = -29(not possible)

Hence the width is 23 feet.

Length = 23 + 6 = 29 feet

Therefore the dimensions of the rectangle are 29 feet by 23 feet .

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Answer:

f(x)= 2x-17

Step-by-step explanation:

Let, input be x,

Multiplying input by 2: 2x

then subtracting it by 17: 2x-17

Therefore, Symbolic representation required is : f(x)= 2x-17

The symbolic representation of the function defined is f(x) = 2x-17

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that, the function f multiplies it’s input by 2 and then subtracts 17 to produce its output. we need to express the operation into symbolic representation.

Let the input be x, then the output will be the value of f(x).

Therefore, it is given, the input is multiplied by 2, that mean,

f(x) = 2x

Then 17 is subtracted from it, that will give,

f(x) = 2x-17

Hence, the symbolic representation of the given operation is f(x) = 2x-17

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If a company asks an investor for an investment of $800,000 in exchange for 15% equity in the business. The implied valuation of the business is: $4,533,333.

First step is to calculate the equity valuation

Using this formula

Equity valuation=Amount invested/Equity rate

Let plug in the formula

Equity valuation=$800,000/.15

Equity valuation=$5,333,333

Second step is to calculate the implied valuation

Implied valuation=Equity valuation-Amount invested

Let plug in the formula

Implied valuation=$5,333,333-$800,000

Implied valuation=$4,533,333

Therefore If a company asks an investor for an investment of $800,000 in exchange for 15% equity in the business. The implied valuation of the business is: $4,533,333.

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Answer:

19 tables

Step-by-step explanation:

Let X represent the number of tables that have 1 student and 3 seniors

Let Y represent the number of tables that have 2 student2 and 4 seniors

Therefore number students total

1X + 2Y =23   (1)

Number of seniors total

3X + 4Y = 61   (2)

Multiply equation (1) by 2 giving

2X + 4Y = 46  (3)

Subtract (3) from (2)

3X + 4Y - (2X+4y) = 61-46

3X + 4Y - 2X -4Y  = 15

3X-2X = 15

X = 15

Plugging this value into equation (1) gives

1(15) + 2Y = 23

15 + 2Y = 23

Subtract 15 from both sides

2Y = 23 - 15

2Y = 8

Divide by 2 both sides

Y = 4

Thus total number of tables used = X +Y = 15+4 = 19

Answer: 120 minutes, 105 km, proportional

Step-by-step explanation:

90 km/hr

180 km * 1 hr/90 km=

180 km/90 km * 1 hr=

2 hours=120 minutes

1 hour=60 minutes

70/60=x/90

7/6=x/90

7*90/6=x

x=7*15

x=105 km

Answer:  15 + |−6| = 21 steps

Its stated that Joy walked 15 steps forward, meaning it would be a positive value. Shaunte walking backwards would give a negative value.

Situation of non- proportional relationship :

The circumference of a circle with a radius of x units can be represented by = 2nx.

The perimeter of an equilateral triangle with a side length of x  units can be represented by y = 3x

The total surface area of a cylinder with a radius of 1 unit and height of x units can be represented by y = 2xx + 2x

The radius of a circle with a diameter of x units can be represented by y = [tex]\frac{1}{2}x[/tex]

a proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant. The graph of a proportional relationship is a line through the origin.

When ratios between quantities are not constant, a relationship may be linear but not proportional and the graph does not pass through the origin.

The graph shows the sales tax charged based

on the amount spent at a video game store in

a particular city. Does the graph show a linear

relationship? Is the relationship proportional

or nonproportional?

The graph shows a linear proportional

relationship because it is a line that contains

the origin.

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The probability that both marbles are​ red will be 0.055.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences. The probability is given as,

P = (Favorable event) / (Total event)

A jar full of marbles is kept by Li. There are 16 purple marbles, 10 red marbles, and 15 blue marbles in the jar. A stone is chosen at random by her from the jar. She leaves the marble alone. She takes another stone out of the jar.

The total number of event = 16 + 10 + 15 = 41

Then the probability of both marble should be red will be given as,

P = (10 / 41) x (9 / 40)

P = 0.055

Thus, the probability that both marbles are​ red will be 0.055.

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Answer:

y = - 2x + 2

Step-by-step explanation:

[tex]y-8=-2(x-(-3))\\y-8=-2(x+3)[/tex]

[tex]y-8=-2x-6[/tex]

[tex]y=-2x-6+8[/tex]

[tex]y=-2x+2[/tex]

Hope this helps

Integer addition is the addition of integers with the same signs, whereas integer subtraction is the addition of integers with the opposite signs.

Are there any consistent rules for adding and subtracting integers?

What in math is an integer?

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The liquidity premium for the corporate bond is 0.25%.

Any additional compensation needed to stimulate investment in assets that cannot be quickly and effectively converted into cash at fair market value is known as a liquidity premium. For instance, due to its relative illiquidity, a long-term bond will have a higher interest rate than a short-term bond.

Liquidity premium for corporate bond will be:

= 5.25 - 3.5 - 1.5

= Interest - Treasury - Default risk

= 0.25%.

Therefore, the liquidity is 1.25%.

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Value of the given expression j³k/h0 is 12

h = 8

j=-1

h = 8

In order to do this, we need to change the values of h, j, and k in the given statement = (-1)^3 (-12) / 8^0  ....(1)

Find the denominator by using (1)

(-1)³ (-12) / 1

Analyze each exponent.

= 12/1

Hence, j³k/h0 = 12

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Complete Question -

What is the value of this expression if h=8 ,j= -1 , and k= -12? j³k/h0

Answer:

(-2[tex]x^{2}[/tex]+3x+1)

Step-by-step explanation:

f(x) = -2x² + 4  g(x) = 3x - 3 find f (4) + g(-6).

f(x)+g(x)

(-2[tex]x^{2}[/tex]+4) +(3x-3)

(-2[tex]x^{2}[/tex]+3x+4-3)

(-2[tex]x^{2}[/tex]+3x+1)

The correct option is D: k/2 is the expression that is equivalent to the expression, K/2.

In response to the question;

We must determine the expression that is equivalent to k/2.

Among the options, Option D: k/2 is same as expression K/2.

Choice C, when written as (1/2)k, is equivalent to k/2 since they both imply half of k.

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1. The number of sample size 1 jelly beans in a 2-liter jar is 645.

2. The number of sample size 2 jelly beans in a 2-liter jar is 640.

3. The number of sample size 3 jelly beans in a 2-liter jar is 637.

A mathematical operation is an expression involving the use of mathematical operands and operators to compute values.

Mathematical operations use variables, numbers, and operators (addition, subtraction, division, and multiplication).

Total weight = 1,150g

Weight of the jar = 440g

The total weight of the jelly beans = 710g (1,150 - 440)

Sample Size 1: the number of jelly beans = 645 (710/22.0 x 20)

Sample Size 2: the number of jelly beans = 640 (710/22.2 x 20)

Sample Size 3: the number of jelly beans = 637 (710/22.3 x 20)

Thus, the number of jelly beans in a 2-liter jar depends on the sample size of the jelly beans.

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Answer:

22.5

Step-by-step explanation:

∠EAB=2x (alternate interior angles)

∠AEB=180°-4x (linear pair)

The light's coverage area is given mathematically as i.e. Area=[tex]\pi d^{2}[/tex]

Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.

The revolving beam of light covers the whole space i.e entirely 360°

I.e. it forms a circle-like region

Area of circle = [tex]\pi r^{2}[/tex]{ where r is the radius of circle}

Let's assume the distance traveled by light as "d"

as it forms a circular region, it forms a circle of radius "d"

Mathematical connection i.e. area of the region

⇒area of circular region=[tex]\pi d^{2}[/tex] {where d is the radius of region}

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The quadrilateral A'B'C'D' is the result of reflecting and translating the quadrilateral ABCD.

In this problem we find a representation of a quadrilateral and its image on a Cartesian plane. That image is the result of the following rigid transformations, that is, transformations applied on geometric loci such that Euclidean distance is conserved at every point of the locus.  

After a careful inspection, we find that the following two rigid transformations were done:

Now let is prove this steps:

Given: A(x, y) = (- 5, - 7), B(x, y) = (- 5, - 2), C(x, y) = (- 3, - 4), D(x, y) = (- 3, - 7)

Reflection:

A''(x, y) = (- 5, - 7) + (0, 14)

A''(x, y) = (- 5, 7)

B''(x, y) = (- 5, - 2) + (0, 4)

B''(x, y) = (- 5, 2)

C''(x, y) = (- 3, - 4) + (0, 8)

C''(x, y) = (- 3, 4)

D''(x, y) = (- 3, - 7) + (0, 14)

D''(x, y) = (- 3, 7)

Translation

A'(x, y) = (- 5, 7) + (7, 0)

A'(x, y) = (2, 7)

B'(x, y) = (- 5, 2) + (7, 0)

B'(x, y) = (2, 2)

C'(x, y) = (- 3, 4) + (7, 0)

C'(x, y) = (4, 4)

D'(x, y) = (- 3, 7) + (7, 0)

D'(x, y) = (4, 7)

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Answer:

22

Step-by-step explanation:

The ratio tells us 2/5 of the swimmers are indoor swimmers.

55(2/5)=22

Given that the total length of the piece of steel is 25in, the numerical lengths of the first, second and third piece of the steel are 3in, 6in and 16in respectively.

Given the data in the question, let x represent the length of the first piece.

To determine the length of each piece, we equate the sum of the pieces to the total length of the steel ( 25in ).

x + 2x + ( 5x + 1 ) = 25

3x + 5x + 1 = 25

8x + 1 = 25

8x = 25 - 1

8x = 24

x = 24/8

x = 3

Hence,

Length of first piece = x = 3 inch

Length of second piece = 2x = 2(3) = 6 inch

Length of third piece = 5x + 1 = 5(3) + 1 = 15 + 1 = 16 inch

Given that the total length of the piece of steel is 25in, the numerical lengths of the first, second and third piece of the steel are 3in, 6in and 16in respectively.

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Answer:

B

Step-by-step explanation:

Capitals represents countries as the function