distance driven vs time spent in a car
which one is the independent variable?

Answer:

$18.30

Step-by-step explanation:

125 x 18 = 2250

2250/500 = 4.5 (round up to 5)

5 x 3.66 = $18.30

Answer:

Step-by-step explanation:

Answer:

(a) x + 3 = 11

(b) x - 2 = 15

(c) 3x -2 = 4

(d) 2(x-7) = 13

Step-by-step explanation:

(a) 3 added to a number is 11

(b) 2 subtracted from a number is equal to 15.

(c) 3 times a number decreased by 2 is 4.

(d) 2 times the sum of the number x and 7 is 13.​

(a) 3 added to a number is 11

Answer : x + 3 = 11

Base on the given it states that 3 added to a number is 11. A number is identified as x. Hence, a number added 3 equal 11.

Hence, x + 3 = 11 is the equation.

(b) 2 subtracted from a number is equal to 15.

Answer : x - 2 = 15

Base on the given 2 subtracted from a number is equal to 15. As known, a number is identified as x. Equal to 15 = Total. Hence, x - 2 = 15.

(c) 3 times a number decreased by 2 is 4.

Answer : 3x - 2 = 4

Base on the given 3 times a number decreased by 2 is 4. As known, a number is identified as x. 3 times is identified as times 3. And decreased is identified as subtract. Hence, 3x-2 = 4 is the equation.

(d) 2 times the sum of the number x and 7 is 13.​

Answer : 2( x + 7 ) = 13.

Base on the given 2 times the sum of the number x and 7 is 13. As known, a number is identified as x.  13 is the total. 2 times equals multiply 2. Sum of the number x and 7 meaning is Addition. Sum = Addition. Hence, 2(x+7)=13 is the equation.

RevyBreeze

1: Convert the mixed number into an improper fraction.

2: Multiply the numerators and denominators of the two fractions separately.

3: Simplify by eliminating the common factors to get the lowest form of the result.

Now, According to the question:

A mixed number is a whole number and a proper fraction represented together.  It generally represents a number between any two whole numbers.

For Example:

[tex]4\frac{1}{2}[/tex] and [tex]3\frac{1}{3}[/tex]

[tex]4\frac{1}{2}[/tex] = (4 × 2 +1)/2 = 9/2

[tex]3\frac{1}{3}[/tex] = (3 × 3 + 1)/3 = 10/3

[tex]4\frac{1}{2}[/tex]  × [tex]3\frac{1}{3}[/tex] = 9/2 × 10/3 = 90/6 = 15

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Each squares and rectangles are a form of quadrilateral, with four inner angles that are both 90 degrees, and opposite sides that are parallel to one another.

Are a square and a rectangle usually similar?

As a result, every square is a rectangle since it is a quadrilateral with right angles at each of its four corners. But not all rectangles are squares; for a shape to be a square, all of its sides must be the same length.

What is a rectangle, exactly?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.

                           The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

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Answer:

10,007

Ten thousand seven

Step-by-step explanation:

The altitude of the right triangle is as follows:

BD = √330 units

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

ΔABC is a right angle triangle with altitude BD drawn to the hypotenuse AC. Therefore,

AD = 15 units

DC = 22 units

The length of BD in the simplest form can be found as follows:

Using similar triangle,

Hence,

let

BD = x

15 / x = x / 22

cross multiply

x² = 22 × 15

x² = 330

x = √330

Therefore,

BD = √330 units

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Answer: X=9

180 -108=72

72/8=9

Answer:

x = 9° (or) 8x = 72°

Step-by-step explanation:

Now we have to,

→ find the required value of x.

We know that,

→ Straight line is always 180°.

Forming the equation,

→ 8x + 108° = 180°

Then the value of x will be,

→ 8x + 108° = 180°

→ 8x = 180° - 108°

→ 8x = 72°

→ x = 72° ÷ 8

→ [ x = 9° ]

Hence, the value of x is 9°.

The domain of a function is not always all real numbers.

We know that the domain of function is the set of all possible input values for which the function is well defined.

And the range of function is the set of all possible output values for given input.

As we know the domain of a function, f(x), is all real numbers when there are no restrictions on what we can take input for x, as all real numbers would make function f(x) true.

But the domain of a function is not always all real numbers.

consider the function f(x) = 1/x

This function is not defined for x = 0

So, the domain of above function f(x) is R - {0}

Also, we know that the domain of a logarithmic function is all non-zero positive real numbers.

Thus, the domain is not always set of all real numbers.

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Yes. 4 is a real number. Real numbers includes both rational number and irrational numbers.

Every Real numbers can be expressed as an infinite decimal expansion. It include integers, natural numbers. Real numbers can be of positive and can be of negative numbers. Real numbers can be both a rational number or a irrational numbers. These two are the main groups of real numbers. Rational numbers can be written as the ratio of two integers. Irrational numbers cannot be written as the ratio of two integers. Irrational numbers are the type of real numbers. The real numbers has the closure property, commutative property, the associative property and the distributive property. This explains the properties of Real numbers.

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The true statement is that blood pressure increases by 1 mm HG per year.

In geometry, we have seen the lines drawn on the coordinate plane. To predict whether the lines are parallel or perpendicular or at any angle without using any geometrical tool, the best way to find this is by measuring the slope. In this article, we are going to discuss what a slope is, slope formula for parallel lines, perpendicular lines, slope for collinearity with many solved examples in detail.

What is a Slope?

The equation that represents the linear model is:

y =x+95

Linear regression is represented as:

y=mx+b

Where:

m represents the slope

b represents the y-intercept

By comparison, we have: m=1

This means that:

The blood pressure increases by 1 mm HG per year.

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Answer:

180° are triangles 360° are circles

Step-by-step explanation:

The numbers for the sequences are 10-n = 9, 8, 7, 6, 0, and 6-2n = 4,2, 0, -2, and -14.

A sequence is a series of numbers that follow the sample principle in terms or order. In this case, the sequence is determined by the equations given, and based on this the numbers are calculated.

10-n:

10 - 1 = 9

10 - 2 = 8

10 - 3 = 7

10 - 4 = 6

And the 10th term is

10- 10 = 0

6-2n:

6 - 2 = 4

6 - 4 = 2

6- 6 = -0

6 - 8 = -2

And the 10th term is

6 - 20 = -14

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If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. The rules to show this include SSS, SAS, ASA.

Side-Side-Side (SSS) Rule The SSS rule states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent

The SAS rule states that if two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

The ASA rule states that if two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

An overview was given due to the incomplete information.

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Answer: acute triangle

Step-by-step explanation: acute triangle are also known as equilateral triangle, meaning all sides are equal. This also makes it equiangular (angle measurement are 60 degrees). Remember triangle ALWAYS add up to 180 degrees.

The probability that Louis takes two green counters is 1/9, since there is only one green counter in the box.

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Answer:

6/x = 3/28

Step-by-step explanation:

Rina has been visiting the coffee shop every day for 7 days and he spent an average of $1 each day he visited the coffee shop during the week.

He started on Monday, spending $1, and each day he spent a dollar more than he did the day before. By the end of the week, he had spent $7. To calculate the average amount he spent each day, add up the total amount of money he spent that week and divide it by 7 (the total number of days he visited the shop).

7/7=1

In this case, the total amount of money spent was $7, so when divided by 7, the average amount spent each day is $1. Therefore, Rina spent an average of $1 each day he visited the coffee shop during the week.

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The total cost of 1.8 cubic yards of oil at $17 per cubic yard would be $30.6.

This can be calculated by multiplying the number of cubic yards (1.8) by the cost per cubic yard ($17).

1.8 × 17 = $30.6

The calculation I provided is a basic mathematical concept of multiplying a quantity (1.8 cubic yards) by a unit price ($17 per cubic yard) to find the total cost. This is a fundamental concept in mathematics, specifically in the field of arithmetic, which deals with the manipulation of numbers and basic mathematical operations such as addition, subtraction, multiplication, and division.

Arithmetic is a branch of mathematics that deals with the manipulation of numbers and basic mathematical operations such as addition, subtraction, multiplication, and division. The formula 1.8 cubic yards x $17 per cubic yard = $30.6 is an example of multiplying a quantity by a unit price which is an arithmetic operation. This operation is used to find the total cost of a specific quantity of a product or material that is sold by volume.

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The expression that is equivalent to the expression n/4+n/4+n/4+n/4 is,

⇒ n

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

The expression is,

⇒ n/4 + n/4 + n/4 + n/4

Now, We can simplify the expression as;

⇒ n/4 + n/4 + n/4 + n/4

⇒ (n + n + n + n) / 4

⇒ 4n/4

⇒ n

Thus, The expression is equivalent to n.

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The value of f of 2, which means f(2), is 6.

As we know,

f'(x) = [tex]\[ \lim_{h\to0}[/tex] [f(x+h) - f(x)]/h

= [tex]\[ \lim_{h\to0}\\[/tex] [f(3x + 3h)/3 - f(3x + 0)/3]/h

= [tex]\[ \lim_{h\to0}\\[/tex] [{2 + f(3x) + f(3h)}/3 - {2 + f(3x) + f(0)}/3]/h

∴f'(x) = [tex]\[ \lim_{h\to0}\\[/tex] [f(3h) - f(0)]/3h-0 = f'(0)

⇒ f′(2) = f′(0) = 2          [∵f′(2) = 2]

⇒f′(x) = 2

Now, apply integration on the above equation with respect to x

∴f(x) = 2x + c          (1)

Substituting x = 0 = y in f{(x+y​)/3} = {2 + f(x) + f(y)]/3

⇒3f(0) = 2 + f(0) + f(0)

∴f(0) = 2​

By equation (i) f(0) = 2.0 + c

∴c = 2          [∵f(0) = 2]

Now (1) becomes

∴f(x) = 2(x + 1)

Put x = 2

f(2) = 2(2 + 1) = 2 × 3 = 6

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Rachel's non-brokerage fee-related closing costs can be calculated by subtracting the brokerage fee from her total closing costs.

Since the brokerage fee was 6%, the fee comes out to be $1,105.20. To calculate the non-brokerage-related closing costs, subtract $1,105.20 from the total closing costs of $18,427, which yields a total of $17,321.80.

18427-1105.20=17321.80

This is the amount of non-brokerage fee-related closing costs that Rachel paid for her home. Rachel's net gain from the sale of her home was $230,063, which is the difference between the sale price of her home and the total closing costs, including the brokerage fee.

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The bearing of D from A is given as follows:

24º.

The bearing of D from A is obtained using the angle addition postulate, which states that  if two angles share a common vertex and a common angle, forming a combination, the larger angle will be given by the sum of the smaller angles.

The angle measures for this problem are given as follows:

x, 166, 15 and 155.

The total of these measures is of 360º, hence the value of x, representing the bearing of D from A, is given as follows:

x + 166 + 15 + 155 = 360

x + 336 = 360

x = 24º.

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The definition for the function is b.

       So, when x is 2, left ray cannot get the value as 2 .Thus x <2

       So the constant term of the equation is 1

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Algebraic expressions involving radicals are known as radical expressions. The root of an algebraic expression makes up the radical expressions (number, variables, or combination of both).

Three conditions must be satisfied for a radical expression to be in its simplest form, that is, first, No radicands other than 1 have perfect square factors.

Secondly, there isn't a fraction in any radicand and finally, the fraction's denominator has no radicals.

A radical expression can be reduced to a simple form by first factoring it into primes, then finding the radical's index, and finally moving the group of numbers either inside or outside the radical.

The expressions both inside and outside the radical can then be made simpler by adding up all the numbers inside the radical.

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The slope intercept form of a line is,

⇒ y = x - 6

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The equation is,

⇒ 3x - 3y = 18

Now, We know that;

The slope intercept form of the equation is,

⇒ y = mx + b

Here, The equation of line is,

⇒ 3x - 3y = 18

Take 3 as common,

⇒ 3(x - y) = 18

Divide by 3;

⇒ x - y = 18/3

⇒ x - y = 6

⇒ x - 6 = y

⇒ y = x - 6

Thus, The slope intercept form of a line is,

⇒ y = x - 6

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If a 2×2 matrix A is reverse and is multiplied by its inverse (indicate by the symbol A−1), the develop product is the Identity matrix which is indicate by I.

In fact, I can control the order or direction of multiplication between matrices A and A−1, and I would still get the Identity matrix I. That means reverse matrices are commutative.

A×A^-1= I.

In normal, the inverse of a matrix A is found using the formula (adj A)/ (det A), where "adj A" is the "adjoint of A" and "det A" is the "determinant of A".

the inverse of a 2x2 matrix, say A, is a matrix of the similar order known by A^-1 such that AA^-1 = A^-1A = I, where I is the identity matrix of order 2x2.

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You may quickly determine the fundamental trigonometric numbers of the most typical angles by utilizing a trigonometry table or the SOHCAHTOA approach.

Make a new table for trigonometry. Create a table with six rows and six columns. Put the trigonometric ratios in the first column (sine, cosine, tangent, cosecant, secant, and cotangent). Write the usual trigonometric angles (0°, 30°, 45°, 60°, and 90°) in the first column. Leave all of the other table entries blank.

the three basic trig ratios that are used to solve for missing sides and angles in a right triangle. It is defined as follows: SOH: Opposite / Hypotenuse = Sin().

Fill the sine, cosine, and tan values in the appropriate columns.

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Answer:

125 km per hour

Step-by-step explanation:

divide 500 by 4 to find the averge

Answer:

[tex] \sf \: 125km/hr[/tex]

Step-by-step explanation:

Average speed = [tex] \sf \: \frac{distance \: travelled}{time \: taken} [/tex]

Ave. speed = [tex] \sf \frac{500km}{4hr} = 125kmhr {}^{ - 1} [/tex]

Hence, the average spred is 125km/h respectively.

The numerical value of both the mole and Avagadro’s number is 6.022 x 10²³. That is why the mole is also called Avogadro's number.

The Avogadro constant, A, is the number of particles (such as atoms, molecules, or ions) in one mole of something. Its value is modernly defined as exactly 6.022 140 76 × 10²³. (As it is a pure number, it has no units.)

So, in 1 mol of helium, which has a mass of (very close to) 4 g, there are A

atoms; in 1 mol of sucrose, with a mass of 342 g, there are A molecules.

We can have moles of other kinds of things, including subatomic particles. The amount of charge known as the faraday is the charge of one mole of electrons (A of them; about 96 500 C).

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Answer:

Est: 517

Answer: 517.499999974

Step-by-step explanation: