Write the equation of the tangent line to the graph of y = x^2 at the point x = -0.3

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 inverse of a square root function looks like a half parabola which resembles the shape same as that of a quadratic function graph but we can not be certain about it.

Square root function graphs are usually curved. The curve above is, in reality, half of a parabola that is laying on its side. It represents half of the parabola that would result from graphing the equation y² = x.

f(x) = ax² + bx + c, where a, b, and c are integers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph.

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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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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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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 length of a, to the nearest 10th of a centimeter is 18.6 cm.

A triangle is a three-sided polygon that is defined by three points in a plane, called its vertices. The three sides of a triangle are also called edges, and are connected by three angles. The sum of the angles in a triangle is always 180 degrees. There are different types of triangles, including:

Triangles are fundamental in mathematics and are used in many areas such as geometry, trigonometry, and engineering.

In a triangle, the measure of an angle is related to the lengths of the sides opposite and adjacent to it by the formula:

c = a/sin C

Given that c = 75 cm and mm∠C = 13°, we can use this formula to find the length of a:

a = c*sin C

where C is in radians.

a = 75 * sin(13°) = 75 * 0.2225 = 16.7 cm

Also, we know that the sum of the angles in a triangle is always 180°, so we can use that information to find the measure of angle A.

mm∠A = 180 - (mm∠B + mm∠C) = 180 - (154 + 13) = 180 - 167 = 13°

Therefore, using the Law of Sines, we can find the value of a.

[tex]\frac{a}{sin A}[/tex] =  [tex]\frac{b}{sin B}[/tex] = [tex]\frac{c}{sin C}[/tex]

a =  [tex]\frac{c*sin A}{sin C}[/tex]

a = [tex]\frac{75*sin(13^{0}) }{sin(154^{0}) }[/tex]

Now, you can use a calculator or a table of trigonometric values to find sin(13°) and sin(154°) and substitute them in the above equation to find the length of a. To the nearest tenth of a centimeter, a is approximately 18.6 cm.

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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: 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°.

Answer: believe it's 49 degrees

Step-by-step explanation:

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 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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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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Answer:

Est: 517

Answer: 517.499999974

Step-by-step explanation:

The equation that shows how the price of a personal pizza y depends on the number of toppings x is y = 7 + x.

The equation of a straight line is an equation that comes in the form of an algebraic equation. It is also referred to as Slope - Intercept form. It can be represented using the equation below:

Equation : y = mx + c

where:

m = Gradient
c = Slope of the line

The equation that shows how the price of a personal pizza y, depends on the number of toppings x  is y = 7 + x

This question can be solved and represented using the equation of a straight line.

Let's represent

y = price of a personal pizza
x = number of toppings
The price for a plain cheese pizza = $7
The price for each of the toppings = $1
Therefore, the equation that shows how the price of a personal pizza y, depends on the number of toppings x  is written as:

y = $7 + $1 × x
y = 7 + x

Therefore, y = 7 + x is the equation represents the relationship between the price of a personal pizza and the amount of toppings.

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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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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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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 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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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

Answer:

Below

Step-by-step explanation:

To find the slope of a line, we use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, if Akio recorded the distance he rode on his bike ride in hours, the slope of the line for the first two hours would be the change in the y-coordinates (distance) divided by the change in the x-coordinates (time) between those two points.

To find the slope of the line for all five hours, we will need to know the specific coordinates of all five points, otherwise, it's impossible to calculate the slope.

The slope of a line represents the rate of change in the y-coordinates (distance) per unit of change in the x-coordinates (time). In this situation, the slope represents Akio's speed, since the change in distance is divided by the change in time. A positive slope indicates an increase in distance over time, which means Akio is getting faster, whereas a negative slope indicates a decrease in distance over time, which means Akio is getting slower.

It's worth noting that a slope of zero would mean that there is no change in distance over time, which would mean that Akio isn't moving.

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:

180° are triangles 360° are circles

Step-by-step explanation:

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:

Step-by-step explanation:

Give them a fixed number of beads, and tell them to divide them equally between a certain number of tins. Start with showing the child how to divide the beads into two tins, using different numbers of beads each time, then gradually move to dividing by different numbers.

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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Answer:

10,007

Ten thousand seven

Step-by-step explanation:

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.

Answer:

6/x = 3/28

Step-by-step explanation:

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.