Express 60 as the product of its prime numbers

The coeficient of y² in the expression is the number 3

What is an algebraic expression?

An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

In the given expression we have the following:

3y² + 4x

As we are asked for the coefficient of the variable "y" then we must take the number that is just before the letter which in this case is the number 3.

3 is the coefficient of y²

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Answer:

The answer is Terrestrial planets

Answer:

Slope: -1; y-intercept: -5

Step-by-step explanation:

Given:

2x + 2y = -10

Question:

What is the slope and y intercept?​

Work:

The "template" for the slope of a line is: y = mx + b. "m" is the slope, "x" is a variable, and "y" is the y-intercept.

Hope this helped! :D

Answer:

46

Step-by-step explanation:

You multiply 23×2 and that is how I got my answer.

The radius of the sphere  1.5  units

The volume of the cone is   pi (3)^2 *4 / 3   units^3  =  12pi  units^3

The volume of the sphere is (4/3)pi (1.5)^3  units^3 = 4.5 units^3

So   ratio  of the volume of the sphere to the cone is :

4.5 pi  / 12 pi  =    4.5 / 12  =      (9/2) / (24/2)  =  9 / 24  =  3 / 8

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A homogenous mixture of two or more components is referred to as a solution.

Solution Examples: Brass is an illustration of a solid solution. Liquid solutions include aqueous hydrochloric acid as an illustration (HCl in water). Air is an illustration of a gaseous solution.

1)When we combine salt (often table salt) and water, we create salt water.

2)By combining sugar and water, sugar water is created.

3)Mouthwash is made up of various chemicals that have been dissolved in water.

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The normal price of the car is given as follows:

£9000.

The normal price of the car is obtained applying the proportions in the context of this problem.

In a sale, the normal price of a car has been reduced by 30%. The new price is £6300, meaning that 70% of the price x is equivalent to 6300.

Thus the equation used to obtain the value of x is given as follows:

0.7x = 6300

x = 6300/0.7

x = £9000.

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The approximate arc length rounded to the nearest hundredth, between each spoke is 54.9 mm.

Diameter = 559 mm, r = d/2 = 279.5 mm

Number of spokes = 32

π = 3.14

To solve this question, we have to use the formula of the length of an arc which is given as

L = θ/360 × 2πr

To calculate the angle between each spoke, let's divide 360 by 32

θ = 360/32

θ = 11.25°

Now we have the value of the angle, substitute it and solve for the length of the arc.

[tex]L_{arc}[/tex] = θ/360 × 2πr

= 11.25/360 × 2 × 3.14 × 279.5

= 54. 9 mm

Therefore the length of the arc is approximately 54.9 mm.

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Step-by-step explanation:

bhshshssf just use some time and fouries and fouries and I don't have a car but who wants the French

25-90-65 is a right-angle triangle because one of the angles is 90°.

A right-angle triangle or orthogonal triangle is a triangle in which one angle is a right angle (that is, a 90-degree angle), and two sides are perpendicular. The relationship between the sides and angles of the right triangle is the basis for trigonometry.

The hypotenuse is the facing side to the right angle. Legs are the adjoining sides to the right angle.

Properties of right angle triangle:

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Answer:

A rectangle and a square are quadrilaterals with four right angles. ​

Step-by-step explanation:

Hope it helps! =D

As a mixed number, 4.2 can be written as 4 + 2/10.

As an improper fraction, 4.2 can be written as 21/5.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Since 4 + 2/10=4.2  so as a mixed number, 4.2 can be written as 4 + 2/10.

Also, 21/5=4.2 so, as an improper fraction, 4.2 can be written as 21/5.

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An example of a parent function is [tex]f(x) = x^{2}[/tex], which is the parent function to any quadratic equation.

The most basic form of a function is a parent function. Its essential shape is not changed in any manner. In mathematics, some graphs are frequently seen. Because of this, the graphs of quadratic functions, square roots, absolute values, cubics, and cube roots are among the original, widespread functions that are referred to as parent graphs.

For instance, you should still be able to identify the parabola that has undergone various transformations when you view a u-shaped graph that has been inverted and stretched vertically.

Here are a few examples to understand this concept further.

Let us take [tex]f(x) = x^{2}[/tex], which is the parent equation of any quadratic equation. The graph of this parent function is a parabola, which is shown below.

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Answer:

3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18.

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Answer:

Step-by-step explanation: its 90

Answer:

y=90°

since,70°+(X+X)+(180°-110°)=180°

or,70°+2X+180°-110°=180°

or,2X-40°=0

or,2X=40°

:.X=20°

Also,

X+y+70°=180°

or,y+90°=180°

:.y=90°

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Onr of the main differences between a 401(k) and a Roth 401(k): Contributions are taxed differently.

The correct answer is an option (C)

The difference between a 401(k) and a Roth 401(k) is that 401(k) is the income taxes on distribution whereas the Roth 401(k) is the income taxes on contribution.

Roth 401(k) is funded with after-tax money.

You can withdraw after-tax money once you reach retirement age.

A traditional 401(k) allows you to make contributions before taxes.

But in traditional 401(k) you have to pay income tax on the distributions in retirement.

Therefore, the main difference is:  the income taxes on your contributions.

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Answer:

4 sweets each

Step-by-step explanation:

50 sweets to begin with and eats 10 , so 50 - 10 = 40 left

she then gives 8 to her brother , leaving 40 - 8 = 32 sweets

she then shares 32 equally among her 8 friends , so

32 ÷ 8 = 4

that is each friend got 4 sweets

The total weight of the wall is 49,500 lb, and the average dead load per foot of wall length is 1237.5 lb/ft.

To find the total weight of the wall and the average dead load per foot of wall length, we need to calculate the total area of the wall and the area of the windows, then use that information to determine the weight of the remaining brick veneer.

First, we calculate the total area of the wall by multiplying the length and height:

40 ft * 11 ft = 440 ft²

Next, we calculate the area of the windows by multiplying the total area of the wall by 25% (the percentage of the wall that is windows):

440 ft² * 0.25 = 110 ft²

Now we can find the area of the brick veneer by subtracting the area of the windows from the total area of the wall:

440 ft² - 110 ft² = 330 ft²

To find the weight of the brick veneer, we can assume a weight of 150 lb/ft². We can calculate this by multiplying the area of the brick veneer by the weight per square foot:

330 ft² * 150 lb/ft² = 49,500 lb

Now to find the average dead load in lb/ft of the length of the wall, we divide the total weight of the wall by the total length of the wall:

49500 lb / 40 ft = 1237.5 lb/ft

So the total weight of the wall is 49,500 lb, and the average dead load per foot of wall length is 1237.5 lb/ft.

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Answer:

[tex]\sf \bf y = \dfrac{1}{3}x + 2[/tex]

Step-by-step explanation:

Where m is slope and b is y-intercept.

To write in slope intercept form isolate y.

To isolate y, first add 'x' to both sides,

       -x + 3y = 6

              3y = x + 6

Now, divide the entire equation by 3,

            [tex]\sf \dfrac{3y}{3}=\dfrac{1}{3}x + \dfrac{6}{3}\\\\\\[/tex]

             [tex]\sf \boxed{\bf y = \dfrac{1}{3}x + 2}[/tex]

The answers to each part is mentioned below.

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is a straight line problem as shown in the question.

(a) -

Now, 12 oz of honey will cost $5.4. So, we can write that -

1 ounce of honey will cost - (5.4/12)

Cost of 1 oz honey will be - $(0.45)

(b) -

Now, 12 oz of honey will cost $5.4. So, we can write that -

For $1, you can buy - (12/5.4) oz of honey.

Amount of honey bought in 1 dollar - 2.22 ounces

(c) -

We can write the equation as -

c = 0.45h

(d) -

The graph for this function is attached with the answer.

Therefore, the answers to each part is mentioned above.

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No, x2 16 is not a perfect square trinomial.

Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."

A perfect square trinomial is a polynomial of the form a2+2ab+b2, where a and b are constants. This trinomial does not have the same pattern of constant coefficients. It is simply the product of two linear expressions, x2 and 16.

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Answer:

80

Step-by-step explanation:

80+10=90

90/18 = 5

Answer:

W=80

For both equations, you can substitute W for 80 and it would work/be true.

The displacement of the pizza delivery driver for the full journey is therefore 6.08 miles.

The pizza delivery driver's displacement for the entire trip is the total distance and direction that she travels from the restaurant to her last delivery and back.

To find her displacement, we can use the Pythagorean theorem to find the total distance from the start to the endpoint.

The displacement is the distance between the start and end point and the direction of the trip. Here we can see that she traveled 4 miles north, 6 miles east, and 5 miles south,

To find the displacement we will use the Pythagorean theorem (ax2 + bx2 = cx2)

where c is the displacement and a and b are the east-west and north-south distances respectively.

so, a = 6 miles (east-west)

b = (4 miles - 5 miles) = -1 miles (north-south)

so, c = √(ax2 + bx2)

c = √(6x2 + (-1)x2)

c = √(36 + 1)

c = √(37)

c = 6.08 miles

So the pizza delivery driver's displacement for the entire trip is 6.08 miles.

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The function rule to represent the total amount earned with Option A and earned with Option B are f(x) = 100 + 10x and f(x) = (1/100) * 2^x.

What is the function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

For Option A, the total amount earned can be represented by the function:

f(x) = 100 + 10x

where x is the number of days in February (x = 28 for a standard non-leap year)

For Option B, the total amount earned can be represented by the function:

f(x) = (1/100) * 2^x

where x is the number of days in February (x = 28 for a standard non-leap year)

the above function will be in cents, to get dollar values divide it by 100.

hence, the function rule to represent the total amount earned with Option A and earned with Option B are f(x) = 100 + 10x and f(x) = (1/100) * 2^x.

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Answer:

b

Step-by-step explanation:

The graph that shows the function h(x) = -x] which is a transformation of the absolute value parent function, f(x) = [x] is Option C.

The graph of the function h(x) = -x] is the reflection of the graph of f(x) = [x] about the x-axis. The graph of f(x) is piecewise defined as follows:

The graph of h(x) will have the same shape as f(x), but with all the y-values negated, so:

The graph of h(x) will thus be a downward-facing step function, with steps at x = 0, moving from -x to x as x moves from negative to non-negative values. Thus, Option C is correct.

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Answer: The answer is $1,317.50

Step-by-step explanation:

First, Find how much they earn in the goods sale.

Make $1,700, their goal to earn, into 1,700/1 and set it to multiply that by 2/5, the fractional amount of money earnt at the goods sale proportional to how much they have to earn.

Simplify that by crossing 1,700 and 5 into a 340 and 1.

Multiply 340/1 by 2/1 to get 680/1.

Make that into a whole number ($680) to show how much money earnt from the goods sale.

Secondly, find how much money they earn by the Bingo Night

Make 1,700, like last time, into 1,700/1 and set it to multiply 3/8, the fractional amount of money earnt from the Bingo Night proportional to how much they have to earn

You can't simplify, so just multiply the amount.

If you multiply, you will get 5,100/8.

Divide 5,100 by 8 (the divisor by the dividend).

Make sure to also add the 0 after the tenths place after you get your quotient, which is supposed to be 637.5 (or $637.50)

Lastly, You have to add them up.

Add $637.50+$680.

You shall get $1,317.50

There are 5/12 strawberries were left. This can be solved using the concept of fraction addition.

A fraction is a piece of the entire. The number is stated in arithmetic as a quotient, which signifies the numerator divided by the denominator. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction is a fraction. A suitable fraction has a numerator that is smaller than its denominator.

Three main fractional kinds exist. They come in three varieties: appropriate fractions, incorrect fractions, and mixed fractions. The numerator and denominator words are known as fractions. We define its kinds in light of these two words.

Given that,

A farmer took 2/3 of the strawberry that he harvested to a market.

At the market, the farmer sold 1/4th of the strawberry.

Now, the farmer has left no of strawberries were:

= (2/3) - (1/4)

= (8 - 3) / 12

= 5 / 12

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The residue from $0 to $82 is 44 ≡ x(mod83)

17−1≡x(mod83)

17∗17−1≡17x(mod83)      

5∗1≡5∗17=85(mod83)

5≡2x(mod83)

42∗5=210≡2∗42x=84x≡x(mod83)

44 ≡ x(mod83).

A mathematical operations that performs a calculation on two numbers is known as an arithmetic provider. They are used in everyday arithmetic, and most computer languages include a set of such operators that can be used within equations to perform a variety of sequential calculations. The following are examples of basic arithmetic operations are:

(+) Addition

Subtraction (-) (-)

() Multiplication            

() division

In programming, computers use different symbols to represent multiplication (*) and division (/). More complex operators, such as

Let's look at an ice cream multiplication example.              

There are two  groups, each has its own ice cream.

The total number of ice creams is 2x3=6    

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Answer:12m,8m

Step-by-step explanation:BREAADTH