may i please get a step-by-step I need for my finals? it would be super helpful.[tex]Solve |h+3|<5. Write the solution set using set-builder notation.[/tex]

Answer:

(1) ... y1 = -2.5, y2 = 4

(2) ... y1 = -2, y2 = 3

(3) ... z1 = -10, z2 = 0

(4) ... x1 = 0, x2 = 3

Hope this helps <3

Step-by-step explanation:

Answer:

1. y= -5/2, 2

2. y= 3, -2

3. z= 0,-10

4. x= 0,3

Step-by-step explanation:

Answer: -7/3

Step-by-step explanation:

y/3 - 8 = -15

y/3 = -7

y = -7/3

Yes, the distributive law is followed by the addition arithmetic operation. 

Distributive Property of Multiplication Over Addition: This implies that the operation involves dividing or distributing the things. The distributive law applies to addition and subtraction arithmetic operation.

For example, let us multiply 8 by the sum of (20 + 3). Mathematically, we can represent this as 8 (20 + 3). First, use the distributive property to multiply each addend by 8. This is called distributing the number 8 over two addenda and then adding their products. That is, multiplication of 8(20) and 8(3) will be performed first, then addition. The result is 8 (20) + 8 (3) = 160 + 24 = 184.

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The required radius of the cylinder that can be covered by the paint is 3.8 feet. Option D is correct.

Franco has enough paint to cover an area of approximately 226 square feet. He needs to paint a cylinder that is 5 feet, and the maximum possible radius of the cylinder that can be covered by the paint is to determined.

Recall that a  cylinder is defined as a 3D solid that keeps two identical bases joined by a curved surface, at a certain distance.

Here,

Franco has enough paint to cover an area of approximately 226 square feet.

Area of the cylinder = 226

πr²h = 226

h = 5 feet and π = 3.14

3.14 * 5 * r² = 226

r² = 226/15.70

r = √14.70

r = 3.80

Thus, the required radius of the cylinder that can be covered by the paint is 3.8 feet. Option A is correct.

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Answer:

Answer is 1

Step-by-step explanation:

A mixed number is a whole number, and a proper fraction represented together.

Now, According to the question:

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

A fraction denotes a portion of a whole. Therefore, if we have to read a fraction say ¾, then it read as three-fourth of a whole. In the same way, we read the other fractions such as:

½ – half of a whole

¼ – one-fourth of a whole

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Answer: 9 hours

Step-by-step explanation: To find the answer, I did:

315 / 35 = ? * 1

=9 * 1

= 9

I divided the 315 by the 35 because that would give us how many hours she drives. (at a constant rate) So, given that, I got 9. I hope this helped!

No, 39 is not a perfect square number because it can't be equal to square of any integer.

An integer that can be expressed as the square of another integer is called a perfect square. In other words, a perfect square is the square of an integer such as 1 = 1², 4 = 2², 9 = 3², 16= 4², , forward. Thus , perfect square formula is written as N = x², where x is any integer. I have the number 39 and I need to check if it is a perfect square. For this we can take the square root of this number. A number is a perfect square if its square root is an integer. So, √39 = √3×13

= 6.2449 ( using calculator)

Which is not an integer, so it is not a perfect square.

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Answer:r=175 this is for IXL I hope this helps

Step-by-step explanation:

r/-25 =-7

Multiply both sides of the equation by -25

-25 times r/-25=-25 time (-7)

Multiplying two negatives equals a positive: (-) times (-) =(+)

25•r/25=-25•(-7)

then

Cancel out the greatest common factor 25

R=-25 times (-7)

Also Multiplying two negatives equals a positive: (-) times (-) =(+)

r=25 times 7

Multiply the numbers 25•7

Then you get

R=175

Answer: what do you have to do

Step-by-step explanation:

The elimination method is used to solve a linear system using multiplication.

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Answer:

m = 24

Step-by-step explanation:

To solve the equation m/3-7 =1, we can start by isolating m on one side of the equation. To do this, we will add 7 to both sides of the equation:

m/3 - 7 + 7 = 1 + 7

m/3 = 8

The next step is to multiply both sides of the equation by 3 to get rid of the fraction:

m/3 * 3 = 8*3

m = 24

So the solution to the equation is m=24

Answer:

5/9

Step-by-step explanation:

The value of √N is 3.16159

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given here: A quadrilateral WXYZ with ∠Z=75 and ∠X=105

Let P be a point on ZW such that ZP=x and WP=4-x, then we form a right-angled triangle ΔZPY with tan 15°=x/PY

∴ PY=x/tan 15

       =3.732x

Now using Pythagoras' theorem we get ZY as

 [tex]\sqrt{13.927x^2+x^2} \\=\sqrt{14.92x^2}\\ =3.862641x[/tex]

Now let's connect the diagonal ZX we get the right triangle ZWX

Thus using Pythagoras' theorem we get

ZX=[tex]\sqrt{4^2+4^2}[/tex]

    =4√2

Again let Q be an extension such that YQ=4-x & ∠YXQ=75°

Thus Sin 75=4-x/√N

            √N=4-x/0.965923

squaring both sides we get N=(4-x)²/0.9330127........(1

Now using the Pythagoras theorem in ΔZYX we get

√N=

[tex]\sqrt{ZX^2-ZY^2} \\=\sqrt{32-14.92x^2} \\[/tex]

⇒N=32-14.92x²..,.......2)

Thus equation two values of N we get

(4-x)²/0.9330127=32-14.92x²

16-8x+x²=29.8564-13.920549x²

14.921x²-8x-13.856=0

Thus using the quadratic formula we get the value of x as

x= 8±29.85 /29.84

x=1.2684  (∵ Distance cannot be negative)

∴ Value of N=32-14.92×1.2684

                    N=13.075

                   √N=3.6159

Hence, The value of √N is 3.16159

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Answer: F

the inequality is x<3

Step-by-step explanation:

Answer:

2.74

Step-by-step explanation:

Answer: 2.74

Step-by-step explanation: When it says 1/5 of this number, you just divide it by the denominator (5) So, 13.7 / 5 = 2.74. To check, we multiply 2.74 by the denominator. (5) We get 13.7. This makes the statement true. I hope this helped!

If the degree is odd and and the leading coefficient is negative then the right end of the graph will point down and the left end will point up .

The End Behaviour of the graph of polynomial is said to be defined by the degree and leading coefficient of polynomial .

the end behaviour for the Odd degree polynomial is given as :

(i) If the degree of polynomial is odd and lead coefficient is positive, then the right end of graph will point up and the left end will point down.

(ii) If the degree of polynomial is odd and the lead coefficient is negative, then right end of graph will point down and left end will point up .

So , according to the question , for the given condition , the right end will point down and left end will point up .

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A linear equation is an equation in which the highest power of the variable is 1 and a nonlinear equation is an equation in which the highest power of the variable is greater than 1.

A linear equation example:

y = 2x + 3

This is a linear equation in one variable, x. The highest power of x is 1 and the coefficient of x is 2.

A nonlinear equation example:

y = x^2 + 3x + 2

This is a nonlinear equation in one variable, x. The highest power of x is 2 and the coefficient of x is 1.

Another example of nonlinear equation is:

y = x^3+3x^2-5x+1

This is a nonlinear equation in one variable, x. The highest power of x is 3 and the coefficient of x is 1.

Note that the linear equation can be in any number of variables, and the nonlinear equation can also be in any number of variables, but the degree of the polynomial should be greater than 1.

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The solution set for the given inequality w + 43 ≤ 51 is; w ≤ 8. Hence,

It follows from the task content that the solution set for the given inequality w + 43 ≤ 51 is to be determined and it's solutions be identified among the answer choices.

Given; w + 43 ≤ 51

w ≤ 51 - 43

w ≤ 8.

On this note, the only number which is a solution among the given answer choices is 7 as it is less than 8.

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The two expressions that make up an equation or an inequality are connected in a mathematical statement.

How do you identify inequalities?

The equals sign in the equation-like statement 5x 4 > 2x + 3 has been replaced by an arrowhead. This is a prime instance of inequality. This indicates that the left half, 5x 4, is larger than the right part, 2x + 3, in the equation.

A mathematical inequality is a comparison made between two algebraic expressions using the larger than (>), less than (), and other inequality symbols. An inequality pair connected by and or or is referred to as a compound inequality.

B. 3t + 3.5c <= 180 and 30t + 38c >= 1500.

The first inequality represents the constraint that the carpenter cannot work more than 180 hours in a month. The second inequality represents the requirement that they earn at least $1500 in a month.

These two inequalities, combined, describe the conditions that the carpenter must satisfy in order to manufacture tables and chairs in a way that meets both the time constraint and the income requirement.

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Answer:

B. 66 degree

Step-by-step explanation:

We know

A triangle is 180 degrees. Angle B is 27 degrees, and angle C is 87 degrees. To find angle A, we take

27 + 87 = 114 degree

180 - 114 = 66 degree

So, the answer is B. 66 degree

The correct way to write greater than 35 is A > 35 where it tells that A having greater value than 35.

In mathematics,

→The greater than symbol (>) is used to indicate that one value is larger than another. For example, if we say "A > B," this means that the value of A is greater than the value of B.

→The less than symbol (<) is the opposite, it indicates that one value is smaller than another. For example, if we say "A < B," this means that the value of A is less than the value of B.

→The greater than or equal to symbol (≥) indicate that one value is larger than or equal to another. For example, if we say "A ≥ B," this means that the value of A is greater than or equal to the value of B.

→The less than or equal to symbol (≤) indicate that one value is smaller than or equal to another. For example, if we say "A ≤ B," this means that the value of A is less than or equal to the value of B.

These symbols are commonly used in mathematical expressions, equations, and inequalities.

To write "greater than 35" in mathematical notation, you would use the greater than symbol (>) followed by the letter 35. For example:

A > 35

This means that A is greater than 35.

Therefore, the correct way to write greater than 35 is A > 35 where it tells that A having greater value than 35.

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The algebraic expression to represent the total cost of joining the gym using "m" as a variable would be: 100 + (30m)

An equation is a mathematical statement that asserts the equality of two expressions. It is written in the form of "left-hand side = right-hand side," where both sides are expressions that are made up of numbers, variables, and mathematical operations.

The algebraic expression to represent the total cost of joining the gym using "m" as a variable would be:

100 + (30m)

This represents the one-time fee of $100 to join plus the monthly fee of $30 multiplied by the number of months, represented by the variable "m".

Thus, The algebraic expression to represent the total cost of joining the gym using "m" as a variable would be: 100 + (30m)

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Using "m" as a variable, the algebraic expression for the total expense of joining the gym would be: 100 + (30m)

This is the sum of the $100 one-time joining fee and the $30 per month price, multiplied by the variable "m," which stands for the number of months.

Therefore, using "m" as a variable, the algebraic expression to represent the overall expense of joining the gym would be: 100 + (30m)

When drawing horizontal or vertical lines with a triangle, you need to use two triangles at the same time. You can draw lines at angles of 30, 45, 60, and 90 degrees by combining the two.

Additionally, the values of the side lengths of this triangle are always inversely proportional to one another. and x2 is the side length that is in opposition to the 90-degree angle. likewise, the side length that is in opposition to the 90-degree angle is 72. Additionally, the side length at the opposite end of the 45-degree angle is 2.

Tips for Remembering the 30-60-90 Triangle Rule Remembering the ratio 1 is all it takes to remember the 30-60-90 triangle rules: √3 : 2, and being aware that the longest side length is always in opposition to the largest angle (90 degrees) and the shortest side length is always in opposition to the shortest angle (30 degrees).

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Three numbers that would not be appropriate for the input (x) on a function table for this equation would be:

1. A negative number, such as -5. This is because the number of hives cannot be negative, it is a physical quantity.

2. A non-integer, such as 3.5. This is because the number of hives cannot be a fraction or decimal, it is a whole number.

3. A number greater than 1, such as 2. This is because in the context of the problem, one hive is assumed, and the function is describing the production of one hive.

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The value of Cosec2a 1 and the value of Cot2a is also Cot A.

cosec 2A + cot 2A

1/sin2a + cos2a/sin2A

= (1+cos2A)/sin2a

=(1 + 2cos²a -1)/sin2A

=(2cos²A)/sin2A

= (2.cosA.cosA)/2.sinA.cosA

=cosA/sinA

=cotA

A right-angled triangle's hypotenuse to opposite side ratio is a right-angle triangle's trigonometric function known as the reciprocal of sine.

The cosecant of an angle in a right triangle is obtained by dividing the length of the hypotenuse by the length of the other side.

It is written as Cosec and csc on occasion. In trigonometry, it is one of the trigonometric functions.

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The polynomial 8x⁴ - (2/3)x² - (2/3)x correctly combines the like terms and puts the polynomial (1/3)x + 8x⁴ - (2/3)x² - x in the standard form option (C) is correct.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

The polynomial:

(1/3)x + 8x⁴ - (2/3)x² - x

Adding combine like terms:

= 8x⁴ - (2/3)x² + (1/3)x - x

= 8x⁴ - (2/3)x² - (2/3)x

Thus, the polynomial 8x⁴ - (2/3)x² - (2/3)x correctly combines the like terms and puts the polynomial (1/3)x + 8x⁴ - (2/3)x² - x in the standard form option (C) is correct.

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The factors of polynomial a² - 2ab + b² is equals to the (a - b)², that is (a -b) and (a-b).

To determine the factors we can use the concept of splitting the middle terms and first making the pair of two terms and then finding the common factors from the paired terms and finally the factors for the expression. We have an expression, a² - 2ab + b². Using the concept of to split the middle term. As we see there is three terms in the expression.

Thus, we can rewrite the expression as

=> a² - ab - ab + b²

Make the pair of two terms in the above expression, (a² - ab) - ( ab - b²).

Take common factors from the paired terms,

=> a(a - b) - b(a - b).

Take the common factors in the above equation => (a - b) (a - b)

=> (a - b)¹⁺¹ = (a + b)²

Hence, factor of a² - 2ab + b² is (a-b)² i.e., (a - b) and (a - b).

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complete question:

What is the factor of the polynomial a² - 2ab + b²?.