Question content area top
Part 1
A car with a full tank that holds 11.6 gallons of gasoline is using 1.45 gallons per hour. Is the tank more than half full of gasoline after 3.5​ hours? Explain your answer.

The volume of the decorative bowl is V{B} = 233.25π.

The volume of a cylinder is equivalent to -

V{Cylinder} = πr²h

The volume of a cone is equivalent to -

V{Cone} = 1/3 πr²h

Given is that Denise created a decorative bowl for a display. She carved a piece of wood into a cylinder with a diameter 15 inches and a height a of 5 inches. Then she carved a cone with a diameter of 12 inches and a height of 4 inches from the center of one base of the cylinder.

We can write the volume of the decorative bowl as -

V{B} = V{Cylinder} - V{Cone}

V{B} = πr₁²h₁ - 1/3 πr₂²h₂

V{B} = π{r₁²h₁ - 1/3 r₂²h₂}

V{B} = π{7.5 x 7.5 x 5 - 1/3 x 6 x 6 x 4}

V{B} = π{281.25 - 48}

V{B} = 233.25π

Therefore, the volume of the decorative bowl is V{B} = 233.25π.

To solve more questions on 3D Volumes, visit the link below -

brainly.com/question/16134180

#SPJ1

No, this is not the solution for the following system of equation

When two or more equations are solved simultaneously, they are referred to be a system of equations. The objective is to identify the values of the variables that satisfy each of the equations in the system. These equations frequently have many variables.

Here is an illustration of a set of equations:

x + y = 7

x - y = 1

To determine whether a given point (x, y) is a solution to a system of equations, we need to substitute the values of x and y into the equations of the system and see whether the equations are satisfied.

In this case, we want to check if (1, 1) is a solution to the system of equations:

6x + 14y = 20

8x + y = 6

We substitute the given x and y values into the system of equations:

6(1) + 14(1) = 20

8(1) + 1 = 9

And see if the two equations are true

6 + 14 = 20 is true

8 + 1 = 6 is false

So (1, 1) is not a solution to the system of equations.

To know more about the system of equations, check out:

https://brainly.com/question/13729904

#SPJ1

Answer: C, 85

Step-by-step explanation:

Hopefully, that is a fourth root :)

Raise the entire equation to the fourth power.

x-4 = 3^4

x - 4 = 81

x = 85

Option C matches the answer

area =729 feet square and perimeter =  108 feet

Given the side of a square is 9 cm.

The scale is given as :

1 cm = 3 feet Since 1 cm represents 3 feet.

Therefore, 9 cm will represent = 9 x 3 feet= 27 feet

So the side of the square is 27 feet.Therefore, its area = Side x side= 27 x 27 = 729 feet square

And the perimeter =  4 x side= 4 x 27= 108 feet

To learn more about perimeter refer to:

https://brainly.com/question/19819849

#SPJ1

No, Dominic's answer is incorrect.

To find the product of 827 and 53, you can use the standard multiplication algorithm that you would use for decimal numbers.

First, you need to multiply the rightmost digit of 53, which is 3, by 827. This gives you 2481.

Then, you need to multiply the next digit of 53, which is 5, by 827 and add this result to the previous one. This gives you 43,811.

Therefore, the product of 827 and 53 is 43,811, not 43,511 as Dominic has stated. Dominic's answer is incorrect because he has made an error in the calculation.

Answer:

-4 is the slope

Step-by-step explanation:

y= mx + b

m being the slope

Hope this helps!

Answer: m= -4

Step-by-step explanation:

y=mx+b

b is your y-intercept

mx is your slope

the equation of y = -4x + 3 would be -4x

Correct option is C, the resultant vector will be [tex]\vec{p} + \vec{q}[/tex].

A vector is something that possesses both magnitude and direction. A vector is a directed line segment in geometry, with an arrow pointing in the direction and a length equal to the vector's magnitude.

A quantity or phenomenon known as a vector has two distinct properties: magnitude and direction. The phrase also specifies the mathematical or geometrical representation of such a quantity.

Examples of vectors in nature include velocities, moments of inertia, forces, electromagnetic fields, and weight.

Vectors are typically employed in air and sea navigation.

Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

To learn more about vector refer to :

brainly.com/question/15519257

#SPJ1

Answer:

To simplify the expression 2√20 - 2√5, you can start by applying the rule that the square root of a product is the product of the square roots of the factors. This means that you can rewrite √(20) as √(4*5) = 2√(5).

Applying this rule, the expression simplifies to:

2√(5) - 2√(5) = 2√(5) - 2√(5) = 0

Therefore, the simplified expression is equal to 2√(5).

Step-by-step explanation:

Note that the given set of ordered pairs are an example of a mathematical function. (Option A)

An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. By situating a point on the Cartesian plane, it enhances visual comprehension. The numeric values of an ordered pair might be integers or fractions.

A function is a collection of ordered pairs in which each input (or "x" value) corresponds to exactly one output (or "y" value). In this provided set of ordered pairs: (-2, 1), (-1, 0), (1, 0), (2, 0), there is only one matching value of y for each value of x.

Learn more about Ordered Pair:
https://brainly.com/question/30113488
#SPJ1

For constant A to be -4 (option 1) the system of equations have exactly one real solution.

NOTE: We are working with the problem statement: Y=-3 Y=Ax2+4x-4 In the system of equations above, a is constant. For which of the following values of a does the system of equations have exactly one real solution?

We have given, y=-3

y= Ax^2+4x-4

Therefore, -3= Ax^2+4x-4

or, Ax^2+4x-1=0

For second order equation of ax^2+bx+c=0 have a solution for

x= [-b± (√b^2-4ac)]/2a]   [Ax2 + Bx + C = 0 is the Sridharacharya equation, where a, b, and c are real values and a 0. The Sridharacharya formula, which is stated as x = (-b (b2 - 4ac)) / 2a, provides the answer to the Sridharacharya equation.]

For single solution b^2-4ac=0

here, Ax^2+4x-1=0

4^2 - 4a(-1)=0

16+4a=0

a= -(16)/4

a= -4

option A is correct .

For more quadratic equation problem here:

https://brainly.com/question/1863222#

#SPJ4

This is only true equation when A is equal to -2. Therefore, the correct answer is B) -2.

B) -2

The given system of equations can be written as:

Y = A*x^2 + 4*x - 4

We can solve this equation by using the Quadratic Formula. The Quadratic Formula states that the solutions to the equation are given by:

x = [-b +/- sqrt(b^2-4ac)]/2a

where a, b, and c are the coefficients of the equation. In this case, a = A, b = 4, and c = -4.

Substituting these values into the equation, we get:

x = [-4 +/- sqrt(4^2-4*A*(-4))]/2A

Simplifying this, we get:

x = [-4 +/- sqrt(16 + 16A)]/2A

For the system of equations to have two real solutions, the value of the square root must be greater than or equal to zero. This means that 16 + 16A must be greater than or equal to zero.

This is only true when A is equal to -2. Therefore, the correct answer is B) -2.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

The new temperature of Moscow is - 16°C dropped - 8°C from - 8°C.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The temperature in Moscow is - 8°C.

Now, The temperature falls by 8°C.

Therefore the resultant temperature can be obtained by subtracting the temperature drop from the initial temperature of Moscow which is,

= - 8°C - 8°C.

= - 16°C.

So, The new temperature is - 16°C.

learn more about numerical expressions here :

https://brainly.com/question/29199574

Answer:The measures of an exterior angle are 21,60°, and an interior angle is 360° in the given regular polygon with 14 sides.

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

There are 3  2 colored flags and 2 3 colored flags.  

2 colored flags to total flags is 3/5

Answer:

137

Step-by-step explanation:

182 employees x 3 uniforms = 546 uniforms needed

546/4 = 136.5

You can't buy a partial package, so you have to buy 137 packages.  You'll have 2 extra uniforms.

Answer: 136.5

Step-by-step explanation:

182 x 3 = 546

546/4 = 136.5

You will have 137 packages with 2 uniforms left over.

The vertex of the quadratic expression will be at (7, -109). The parabola opens upward, then the minimum value of the expression will be - 109.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The quadratic expression is given below.

⇒ x² - 14x - 60

Convert the expression into a vertex form. Then we have

⇒ x² - 14x - 60

⇒ x² - 14x + 49 - 49 - 60

⇒ (x - 7)² - 109

The vertex of the quadratic expression will be at (7, -109). The parabola opens upward, then the minimum value of the expression will be - 109.

More about the equation of the parabola link is given below.

https://brainly.com/question/20333425

#SPJ1

Answer: here’s the answer!

Step-by-step explanation: hope this helps!

Answer:

x=10

Step-by-step explanation:

3(x-2)+4=28

3x-6+4=28

3x-2=28

3x=30

x=10

Answer:

A bag of almonds that weighs 1.6 ounces will cost $0.51 x 1.6 = $<<0.51*1.6=0.816>>0.816.

Step-by-step explanation:

Answer:

See the graph below

Step-by-step explanation:

Answer:

the answer

Step-by-step explanation:

none lol :))))))

Answer:

x=7

Step-by-step explanation:

(x+1)/4=2

x+1=2*4

x+1=8

x=7

You can prove the difference of two cubes identity. a³ – b³ = (a – b)(a² + ab + b²) based on the following responses:

A. Use the distributive property to multiply the factors on the right side of the equation.

B. Simplify the product by combining like terms.

C. Show that the right side of the equation can be written exactly the same as the left side.

D. Show that the right side of the equation simplifies to a cubed minus b cubed.

In Mathematics, the distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.

By applying the distributive property of multiplication to the given mathematical expression, we have the following:

a³ – b³ = (a - b)(a² + ab + b²)

a³ – b³ = a(a² + ab + b²) - b(a² + ab + b²)

Next, we would combine like terms:

a³ – b³ = a³ + a²b + ab² - a²b - ab² - b³

a³ - b³ = a³ - b³.

Read more on distributive property here; https://brainly.com/question/18706722

#SPJ1

Complete Question:

Explain how you can prove the difference of two cubes identity. a³ – b³ = (a – b)(a² + ab + b²)

Which of the following did you include in your response? Check all of the boxes that apply.

Use the distributive property to multiply the factors on the right side of the equation.

Simplify the product by combining like terms.

Show that the right side of the equation can be written exactly the same as the left side.

Show that the right side of the equation simplifies to a cubed minus b cubed.

The answer choice which correctly represent the inequality that matches the given graph as required is; y < 4.

As evident in the task content; the given graph includes a shaded region whose boundary line is parallel to the horizontal axis and has a y-intercept; 4.

On this note, since the given border line is a broken line, it follows that the inequality sign is; > or <.

Ultimately, since the region below the line is shaded, the required inequality is; y < 4.

Read more on inequalities;

https://brainly.com/question/11234618

#SPJ1

Answer:

To subtract or add a fraction you must first find a common deniminator between the two.

you can use 10 as a common denomonator in this case.

3 x 2 = 6

5 x 2 = 10

your new fraction to replace 3/5 is 6/10

Now, your equation would be 7/10 - 6/10 = 1/10

Your answer is 1/10

A: If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent.

Answer:

To find the x-intercepts and y-intercepts of a function, we need to find the values of x and y at which the function crosses the x-axis or y-axis.

X-intercepts:

The x-intercepts occur when y = 0, so we can set f(x) = 0 and solve for x:

3x³-12x²-15x = 0

This is a cubic equation, we can use factoring, synthetic division or use a numerical method like the Newton-Raphson method to solve for x.

Y-intercepts:

The y-intercepts occur when x = 0, so we can substitute x = 0 into the function to find the y-intercept:

f(0) = 3(0)³ - 12(0)² - 15(0) = 0

So the y-intercept of the graph is at the point (0,0)

In summary, the x-intercepts are the solutions of the equation 3x³-12x²-15x = 0 and the y-intercept is (0,0)

Please note that, if the equation has complex roots, the graph will not cross the x-axis and hence it will not have any real x-intercepts.

Step-by-step explanation:

The slope of the line represented by the graph is -3

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following readings (when the lines representing the rise and the run are drawn)

Length of rise = -9

Length of run = 3

The slope of the line is then calculated as

Slope = Length of rise/Length of run

Substitute the known values in the above equation, so, we have the following representation

Slope = -9/3

Evaluate the quotient

Slope = -3

Hence, the line has a slope of -3

Read more about slope at

https://brainly.com/question/16949303

#SPJ1

Answer:

Use Mathpapa to find your answer.

Step-by-step explanation:

It's a good, and powerful program.

On solving the provided question, we can say that in the line, The value of x is 5; the length of in inches is 5; the length of ec in inches is 15

A line is an endlessly long object without breadth, depth, or curvature in geometry. Consequently, a line is a one-dimensional entity, while it may also exist in two-, three-, and more-dimensional regions. In common use, a line segment with two points serving as its ends is referred to as a line. A line is a single-dimensional, straight form with no thickness that can go on forever in both directions. To indicate that a line has no "wobble" anywhere along its length, it is frequently referred to as a straight line or an ancient accurate line.

here,

The value of x is 5

The length of in inches is 5

The length of ec in inches is 15

To know more about line visit:

https://brainly.com/question/2696693

#SPJ1