solve 4 1/2 + 1 3/5.

Concept

To determine the number of significant figures in a number use the following 3 rules:

1. Non-zero digits are always significant.

2. Any zeros between two significant digits are significant.

3. A final zero or trailing zeros in the decimal portion ONLY are significant.

For the given question we have the number: 18.03

There are 4 significant figures

Hence, the number 18.03 does not have 3 significant figures

Answer: False

The three (3) statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   ....equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

From the information provided above, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

Comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x – 0)² + (y - 0)² = 3²

x² + y² = 9.

Read more on equation of a circle here: brainly.com/question/17028215

#SPJ1

1.  The new volume will be 60 cubic feet. 2. Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

In general, volume refers to the amount of space occupied by an object or substance, measured in three dimensions: length, width, and height. It is a physical quantity that is typically expressed in cubic units, such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³).

1. The volume of the cuboid is calculated as follows:

Volume = length x width x height

Volume = 5 ft x 3 ft x 2 ft

Volume = 30 cubic feet

If we double the height, the new height will be 2 x 2 ft = 4 ft. The new volume can be calculated as:

New Volume = length x width x new height

New Volume = 5 ft x 3 ft x 4 ft

New Volume = 60 cubic feet

Therefore, the new volume will be 60 cubic feet.

2. Step 1: Determine how many dog beds Molly can make with the fabric she bought.

Molly bought 12.5 yards of fabric, and she uses 2.5 yards of fabric for each dog bed. We can use division to find how many dog beds she can make:

12.5 yards / 2.5 yards per dog bed = 5 dog beds

Therefore, Molly can make 5 dog beds with the fabric she bought.

Step 2: Calculate the cost of the fabric for each dog bed.

Molly bought the fabric for $4.50 per yard, and she uses 2.5 yards of fabric for each dog bed. Therefore, the cost of the fabric for each dog bed is:

$4.50 per yard x 2.5 yards per dog bed = $11.25 per dog bed

Step 3: Calculate the revenue from selling one dog bed.

Molly sells each dog bed for $17.50.

Step 4: Calculate the profit from selling one dog bed.

Profit = revenue - cost

Profit = $17.50 - $11.25

Profit = $6.25

Step 5: Calculate the total revenue from selling all of the dog beds.

Molly can make 5 dog beds, and each dog bed sells for $17.50. Therefore, the total revenue is:

5 dog beds x $17.50 per dog bed = $87.50

Step 6: Calculate the total cost of the fabric for all of the dog beds.

Molly uses 2.5 yards of fabric for each dog bed, and she can make 5 dog beds. Therefore, the total cost of the fabric is:

2.5 yards per dog bed x 5 dog beds = 12.5 yards

$4.50 per yard x 12.5 yards = $56.25

Step 7: Calculate the total profit from selling all of the dog beds.

Profit = revenue - cost

Profit = $87.50 - $56.25

Profit = $31.25

Therefore, Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

To know more about profit visit:

https://brainly.com/question/19338486

#SPJ1

3x² + 2x - 4 = 0

Δ = b² - 4.a.c

Δ = 2² - 4 . 3 . -4

Δ = 4 - 4. 3 . -4

Δ = 52

x = (-b +- √Δ)/2a

x' = (-2 + √52)/2.3    

x'' = (-2 - √52)/2.3

x' = 0,8685170918213297    

x'' = -1,5351837584879966

2 Decimal places

x' = 0,87

x'' = -1,54

Answer: .8685

Step-by-step explanation:

The converted linear programming problem in standard form is given by

maximize 2^i - f x₂ + 0x₁ + 0s₁ + 0s₂ + 0s₃ + 0s₄ where s₁, s₂, s₃, and s₄ are the slack variables.

convert the linear programming problem to standard form,

Introduce slack variables to represent the inequalities,

And rewrite the objective function as a linear expression.

First, let us introduce the slack variables,

x₁ + s₁= 2

x₂ + s₂ = 3 + 2t

2x₂ + s₃ = 5

s₄ = -x₂

where s₁, s₂, s₃, and s₄ are the slack variables.

Rewrite the objective function as a linear expression,

Maximize 2^i - f x2

= maximize 2^i - f x₂ + 0x₁ + 0s₁ + 0s₂ + 0s₃ + 0s₄

Now we have the linear programming problem in standard form,

maximize 2^i - f x₂ + 0x₁ + 0s₁ + 0s₂ + 0s₃ + 0s₄

subject to,

x₁ + s₁ = 2

x₂ + s₂ = 3 + 2t

2x₂ + s₃ = 5

s₄ = -x₂

x₁ >= 0, s₁ >= 0

x₂ >= 0, s₂ >= 0, t >= 0

s₃ >= 0, s₄ >= 0

Added a new variable t to represent the inequality

x₂ % 2 < 3,

which can be rewritten as x₂ = 2t + r,

where r is the remainder of x₂ divided by 2.

Require t to be non-negative, and r to be less than 2.

Learn more about  maximize here

brainly.com/question/28149384

#SPJ4

Answer:

Length =5cm

Step-by-step explanation:

When there's a problem ask

Answer:

A(the first one)

Step-by-step explanation:

I do mental math but if you need an example or the way I solved to copy down then just say so.

The required function f(x) = 12 - 3.99x represents the amount of money Melanie and Denzel have left after buying x pounds of strawberries. which is the correct answer would be option (A).

A linear function is defined as an equation in which the highest exponent of the variable is always one.

Let's assume that variable "x" would be pounds of strawberries.

According to the given situation, we can write the linear function would be as:

f(x) = 12 - 3.99x

Here f(x) is  the amount of money have left, after buying x pounds of strawberries

Thus, the required function f(x) = 12 - 3.99x represents the amount of money Melanie and Denzel have left after buying x pounds of strawberries.

Hence, the correct answer would be an option (A).

Learn more about the Linear functions here:

https://brainly.com/question/13738061

#SPJ2

Answer:

Below

Step-by-step explanation:

The equation to use for CONTINUOUS compounding is :

FV = PV e^(it)

18532.08 = 8327 * e^( i*10)        where i is the interest in decimal form

18532.08/8327  = e^(10i)

2.225541 = e^(10i)             now take natural log  (ln) of both sides to get

.8000 = 10i

i = .08     or 8% interest

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

learn more on angles here: brainly.com/question/18854964

#SPJ1

The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

Learn more about bisecting of angles on https://brainly.com/question/23984603

#SPJ1

Answer: -48

Step-by-step explanation:

-4(12)

4x12= -48

The graphs of y = x + 1 and y = 2^x intersect at approximately (-0.3517, 0.6483) and (1.561, 3.561).

To find the points of intersection between the graphs of y = x + 1 and y = 2^x, we need to set the two equations equal to each other and solve for x.

Setting y = x + 1 equal to y = 2^x, we have:

x + 1 = 2^x

To solve this equation, we can use numerical methods or make observations to find the points of intersection. By observing the behavior of the two functions, we can see that they intersect at two points: one when x is negative, and another when x is positive.

For x < 0, the exponential function y = 2^x approaches 0 as x approaches negative infinity, while the linear function y = x + 1 continues to decrease as x becomes more negative. Thus, there is one point of intersection in this region.

For x > 0, the exponential function grows faster than the linear function, so there is another point of intersection in this region.

However, finding the exact values for the points of intersection requires numerical methods such as using a graphing calculator or solving the equation numerically. Approximate values for the points of intersection can be found as x ≈ -0.3517 and x ≈ 1.561.

for more such questions on graphs

https://brainly.com/question/29538026

#SPJ8

The Sample space would be

        {(w,c), (w,e), (w,m), (o, c) (o,e), (o,m), (r,c), (r,e), (r,m)}

According to the question,

Colors for room are { w, o,r}

Entertainment center would be { c, e, m}

A set that consists of all possible outcomes and the result from a random experiment( real or conceptual) is called a sample set. The experiment of tossing a coin results in either of two possible outcomes; a head (H) or a tail (T). The sample space for this experiment is S= {H, T}. If we take a sample space by tossing two coins the result would be S={HH, HT, TH, TT}.

So, the Sample space would be

        {(w,c), (w,e), (w,m), (o, c) (o,e), (o,m), (r,c), (r,e), (r,m)}

Read more about the sample space :

https://brainly.com/question/10558496

#SPJ4

Hello !

68/17 = 4

=> yes for 68

84/17 = 4.941...

=> no for 84

357/17 = 21

=> yes for 357

1001/17 = 58.882...

=> no for 1001

Answer:

2 1/3

Step-by-step explanation:

add then multiplying to the nearest one.

The system of equations is given by :

s + m + g = 1385

1.15 s + 1.75 m + 2.25 g = 2238.75

s = 2m

A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

We shall employ the linear combination method to resolve a system of three equations in three variables. This time, we will solve for the third variable while eliminating the second variable using the equations that follow from the elimination of the first.

Given the number of small drinks by the vendor is s , number of medium drinks is m and the number of large drinks is g.

The vendor sold all three drinks total of 1385, hence the equation:

∴ s + m + g = 1385.

Each small drink costs 1.15 , medium drinks cost 1.75 and large drinks cost 2.25, hence the equation:

∴ 1.15 s + 1.75 m + 2.25 g = 2238.75

He sold twice as many small drinks as medium drinks, hence the equation:

∴ s = 2m

The system of equations is given by:

s + m + g = 1385

1.15 s + 1.75 m + 2.25 g = 2238.75

s = 2m

To learn more about system of equations visit:

https://brainly.com/question/21620502

#SPJ1

Answer: i think its w=15h

Step-by-step explanation:

Answer:

composite

Step-by-step explanation:

Answer:

50 is composite

Step-by-step explanation:

it is even:)

It will take about 19.64 minutes to fill the aquarium with water.

What is cylinder?

In geometry, a cylinder is a three-dimensional solid shape with a circular or oval cross-section and two parallel congruent bases that are also circular or oval in shape. The sides of the cylinder are formed by a curved surface that connects the two bases. A cylinder is considered a type of prism, as it has two identical bases that are parallel to each other.

The volume of a cylinder is given by the formula V = πr^{2}h, where r is the radius of the base, h is the height, and π is a mathematical constant approximately equal to 3.14.

In this case, the radius is 2.5 feet and the height is 4 feet, so the volume of the aquarium is:

V = π(2.5^{2})(4)

V = 31.42 cubic feet

One cubic foot is about 7.5 gallons, so the aquarium can hold approximately:

31.42 x 7.5 = 235.65 gallons

The aquarium is being filled at a rate of 12 gallons per minute, so the time it will take to fill the aquarium can be found by dividing the volume of the aquarium by the rate of filling:

235.65 / 12 = 19.64 minutes (rounded to two decimal places)

Therefore, it will take about 19.64 minutes to fill the aquarium with water.

To learn more about cylinder visit the link:

https://brainly.com/question/23935577

#SPJ9

Answer:

Step-by-step explanation:

We are going the use the revolve constructive geometry operation

Step one:

Knowing fully well that the simple mug has a cylindrical shape, and all preliminary settings are in place, like the units may be in inches or mm.

We first need to draft out the section of the mug, this will look like an "L" shape with thickness set to whatever dimension you may have in mind.

The next in line is to create an axis using a construction line parallel to the L shape.

Then use the revolve tool to create the cylindrical shape by selecting the axis as the reference of rotation and the angle of rotation set to 360 degrees.

The counting principle says that we multiply the number of ways for each of these events together to get the total number of ways to get a license plate. Hence, there are \(158184000\) ways to create a license plate.

What is the counting principle?

The fundamental counting principle states that if there are \(p\) ways to do one thing and \(q\) ways to do another thing, then there are \(p\)×\(q\) ways to do both things.

So,

The number of ways to count the first number are \(9\) ways.

The number of ways to count the first letter are \(26\) ways

The number of ways to count the next letter are \(26\) ways

The number of ways to count the third letter are \(26\) ways

The number of ways to count the next number are \(10\) ways

The number of ways to count the next number are \(10\) ways

The number of ways to count the next number are \(10\) ways

So, the total number of ways to get a license plate is:-

\((9).(26).(26).(26).(10).(10).(10)=158184000\).

Hence, there are \(158184000\) ways to create a license plate.

To know more about the counting principle

https://brainly.com/question/22598222

#SPJ1

For the humming bird X = 130m

For the monkey r= 2

For the trapezoid X = 110m

For the whale r = 7/2

To calculate the scale factor of a given shape or model, the formula that should be used would be;

Scale factor = dimensions of bigger model/smaller model

For hummingbird:

X = 585/4.5

= 130m

For monkey ;

r= 440/220

= 2

For the trapezoid;

X= 165×2/3

= 330/3

= 110m

For the whale;

r= 420/120

= 7/2

Learn more about scale factor here:

https://brainly.com/question/28339205

#SPJ1

9514 1404 393

Answer:

  6 2/9 square yards

Step-by-step explanation:

To find square yards per hour, divide square yards by hours.

  (4 2/3)/(3/4) = 14/3 × 4/3 = 56/9 = 6 2/9

Yoelle can paint 6 2/3 square yards in an hour.

_____

Additional comment

You can divide fractions by inverting the divisor fraction and mutiplying. The rule that division is multiplication by the reciprocal applies to fractions as well as other kinds of numbers.

  a/b ÷ c/d = a/b × d/c

Answer:

6 2/9 square yards

Step-by-step explanation:

Using the subtraction operation, the difference between 7x² + 3x - 5 and 2x² - 2x - 6 is 5x² + x + 1.

Mathematically, the difference is the result of a subtraction operation.

The difference is the product that results when the subtrahend is deducted from the minuend.

A subtraction operation is one of the basic mathematical operations, including addition, division, and multiplication.

  7x² + 3x - 5

-  2x² - 2x - 6

= 5x² + x + 1

Learn more about subtraction operations at https://brainly.com/question/4721701

#SPJ1

Answer:

6 miles per hour

Step-by-step explanation:

Answer:

6 miles per hour

Step-by-step explanation:

Answer:

Options 2, 3 and 5 (Just sub r as a specific value and make sure each LHS is same in the options as the qn and RHS same in options as qn)

Step-by-step explanation:

Topic: Inequalities

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

actually its 1,3,4

Step-by-step explanation:

i got it right on edgeniuty

Answer:

(0,5)

Step-by-step explanation:

f(x) = x^2 + 3x + 5

The y intercept is when x =0

f(0) = 0 + 3*0 + 5

f(0) = 5

(0,5)

Using division, we know that the total number of students that wil plant 1280 plants are 256 in grade 5.

Division's opposite is multiplication.

If 3 groups of 4 total up to 12, then 4 are in each group when 12 is divided into 3 equal groups.

The fundamental goal of division is to produce equal groups or to ascertain how many individuals are in each category following a fair distribution.

So, we know that each student plant 5 trees.

In all, total 1280 plants were planted.

Then, calculate the number of studensts that planted 1280 plants as follows:

1280/5

256

Therefore, using division, we know that the total number of students that wil plant 1280 plants are 256 in grade 5.

Know more about division here:

brainly.com/question/25289437

#SPJ1