Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $13.48
The amount of the tip is approximately $

By taking derivative, slope of the logarithmic function can be found.

The slope of a logarithmic function can be found by taking the derivative of the function with respect to x using the rules of logarithmic differentiation. The general form of the derivative of a logarithmic function is:

d/dx(log(f(x))) = (1/f(x))*(df/dx)

The slope means change in Y with respect to change in X. The slope is the ratio of the rise to run and it shows the steepness of the plane.

The slope is denoted by m.

Example:

Find the slope of y = log(x^2+1)

d/dx(log(x^2+1)) = (1/(x^2+1))*(2x) = 2x/(x^2+1)

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Answer:

obtuse

Step-by-step explanation:

it's obvious if it was acute it would be tiny

Answer:

[tex] - \sin( \beta ) \times - \sin( \beta ) \\ = ( { \sin}^{2} \beta ) \\ = \sqrt{1 - { \cos }^{2} \beta } [/tex]

Therefore , the solution of the given problem of slope comes out to be the slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.

Define slope.

The slope-intercept formulation of an equation is used to represent each time the formula of a line is stated as y = mx + b. The line slope is represented by the m. Additionally, b is the b in the y-intercepting point (0, b). For instance, the y-intercept is at (0, 7) and the slope is 3 in

the formula y = 3x - 7.

Here,

The slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.

:  

:  B not equal to 0

The slope is equal to zero according to the null hypothesis, however the slope is not equal to zero according to the alternative hypothesis.

The alternative hypothesis therefore asserts that the slope is not equal to zero, whereas the null hypothesis asserts that the slope is equal to zero.

Therefore , the solution of the given problem of slope comes out to be the slope won't be equal to zero if the independent variable X and the dependent variable Y have a substantial linear connection.

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Answer:

See below

Step-by-step explanation:

Question 1:

For polynomial:

[tex] x^2 + 11x + 24[/tex]

add upto 11 x

multiply to 24

Question 2:

For polynomial:

[tex] x^2 - 12x + 20[/tex]

add upto - 12 x

multiply to 20

Answer:

probably 21

Step-by-step explanation:

Answer:

Step-by-step explanation:

Radius=r. Diameter=d. C=circumference. A=area

Starting from the center of the circle any line drawn to any point on the circumference of the circle is the radius, if the line is drawn from one point on the circumference to another point on the circumference through the centre of the circle that is the diameter. The circumference of the circle is the perimeter of the circle.

Formulas;

r=d÷2

C=2πr

A=πr²

π=[tex]\frac{22}{7}[/tex] or 3.142

4).

a.)r=d÷2

=4.8cm÷2

=2.4cm

b.)d=4.8cm

c.)C=2πr

=2×3.142×2.4cm

=15.08cm

d.) A=πr²

=3.142×(2.4)²

=3.142×5.76

=18.09cm² or 18.1cm²

5.

a.)r=d÷2

=7÷2

=3.5cm

b.)d=7cm

c.)C=2πr

=2×3.142×3.5

=21.99cm or 21.1cm

d.)A=πr²

=3.142×(3.5)²

=3.142×12.25

=38.49cm²

6.)

a.)r=d÷2

=14÷2

=7cm

b.)d=14cm

c.)C=2πr

=2×3.142×7

=43.99cm

d.)A=πr²

=3.142×(7)²

=3.142×49

=153.96cm²

The coefficient of XYZ in the product of 2xy 3zx and Y 2z is 0.

The formula for coefficient is C = a*b, where a and b are the coefficients of the terms being multiplied.

In the given example, the coefficients for the terms being multiplied are 2 for 2xy, 3 for 3zx, and 0 for Y 2z. Since 0 multiplied by any number is 0, the coefficient of XYZ in the product is 0.

Mathematically, this can be expressed as:

C = 2*3*0 = 0

Therefore, the coefficient of XYZ in the product of 2xy 3zx and Y 2z is 0.

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The product of (2x-3y)(2x+3y) is 4x^2-9y^2.

the solution of the question is as follows,

Product = (2x-3y)(2x+3y)

Product =2x(2x+3y)-3y(2x+3y)

Product = 2x(2x)+2x(3y)-3y(2x)-3y(3y)

{using distributive property of multiplication}

Product = 4x^2 +6xy - 6xy -9y^2

solving 6xy-6xy=0,

Product = 4x^2 - 9y^2

4x^2-9y^2 is the product of (2x-3y)(2x+3y).

distributive property of multiplication

This property states that  multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The multiplication of (a - b)(a + b) is equal to a^2 - b^2. This result is used as an identity.

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Answer:

x = 17, MN = 11

Step-by-step explanation:

Given 2 secants from an external point to a circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.

(5)

7(7 + x) = 8(8 + 13) = 8 × 21 = 168 ( divide both sides by 7 )

7 + x = 24 ( subtract 7 from both sides )

x = 17

(6)

9(9 + 2x - 7) = 10(10 + 8)

9(2x + 2) = 10 × 18 = 180 ( divide both sides by 9 )

2x + 2 = 20 ( subtract 2 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9

Then

MN = 2x - 7 = 2(9) - 7 = 18 - 7 = 11

The length of HG can be expressed as HG = b√2.

Triangle is a three-sided polygon with three straight sides that intersect at three vertices. It is one of the most basic shapes in geometry and is found in nature in the form of mountains, icebergs and even the human face. It has a variety of applications in mathematics, engineering, and other fields. Triangles are also used to define angles and even the area of a plane.

This is because the triangle is a right triangle, and the Pythagorean Theorem states that the sum of the squares of the two shorter sides is equal to the square of the hypotenuse. Therefore,
HG2 = b2 + b2 = 2b2,
which reduces to HG = b√2.

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Answer:

Thjs is hard mat

Step-by-step explanation:

I just need points mateeeee

Answer:

I think the answer is (a) triangle as if you slice the traingular prism with perpendicular to the base as if we slice it with cross sectionally

Hope it helps

Answer:

3 feet

Step-by-step explanation:

There are 12 inches in 1 foot, so 36 inches is equal to (36/12), or 3 feet.

Answer:

3

Step-by-step explanation:

take 36 and divide it by 12 because there are 12 inches in a foot.

12, 24, 36, 48.  

12x3 is 36 or 36/12 is 3

In 7th grade math, students learn basic algebra, ratios and proportions, geometry, graphing, probability, equation and statistics.

In 7th grade math, students typically learn basic algebraic principles, including linear equations, variables, and functions. They also learn about ratios, proportions, and percents. Geometry is typically introduced, with topics such as angles, lines, triangles, and circles. Additionally, students may be taught more advanced topics such as graphing, probability, and statistics.In 7th grade math, students learn basic algebra, ratios and proportions, geometry, graphing, probability, and statistics.

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The answers for Center of the circle is (-4,3) and radius is 2√10 units.

(x - h)2 + (y - k)2 = r2 is the equation of the center of the circle. The radius (r) is specified as 5 units, while the center's (h, k) coordinates are (0, 0). (x - 0)2 + (y - 0)2 = 52 is the result of substituting the values of h, k, and r in the equation.

Finding the simplified term of the given expression is the goal of simplifying the algebraic statement. We must first understand how to join like terms, factor a number, and the order of operations before we can factorize or simplify the statement. When like words are combined, the constant terms are divided for the purpose of simplicity and the variables with the same degree are grouped together.

Examples of  Algebraic Expressions

2x2+3xy+4x+7

Given,

[tex]x^2+y^2+8x-6y-15=0[/tex]

⇒ x².+8x+16–16+y²-6x+.9–9–15=.0

(x+4)²+(y-3)²-16–9–15=0

I.e. (x+4)²+(y-3)²=40

(x+4)²+(y-3)²={2√10}²

Hence center is (-4,3) and radius is 2√10 units.

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Answer:

1           3           5         6        11

__ +  ____ =   ___ + ___ = ___ simplified: 1 1/10

2          5           10        10      10

Step-by-step explanation:

Find a common denominator which is 10.

1 1/10 is your answer.

Answer: She has to interpret who has a job not who doesn't.

Step-by-step explanation:

Answer:

maybe 70

Step-by-step explanation:

71

Step-by-step explanation:

that it is not 0 because i am a teacher mrs.brainly so there is the thing

The actual time is 6:30.

Since Sri's car clock is not accurate, it is gaining time at a constant rate. By knowing that at 12:00 noon the car clock and the watch were in sync, we can estimate that the car clock is gaining 5 minutes per hour.

Therefore, when Sri looks at his car clock at 7:00 and his watch is missing, we can calculate that the actual time is 6:30. This is done by subtracting the 5-minute difference in time between the car clock and the watch at 12:30 (12:35 car clock, 12:30 watch) from the 7:00 car clock. The result is 6:30.

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Answer:

The surface area of a sphere is given by the formula:

surface area = 4 * pi * r^2

Where r is the radius of the sphere.

Using this formula, the surface area of an orange with a radius of 3.5 cm is:

surface area = 4 * pi * (3.5 cm)^2

= 4 * pi * 12.25 cm^2

= 49.0307 cm^2

The volume of a sphere is given by the formula:

volume = (4/3) * pi * r^3

Where r is the radius of the sphere.

Using this formula, the volume of an orange with a radius of 3.5 cm is:

volume = (4/3) * pi * (3.5 cm)^3

= (4/3) * pi * 42.875 cm^3

= 113.097 cm^3

Step-by-step explanation:

Given ,

To Find : The Surface Area and the volume of a spherical orange

In order to find the surface area of a spherical orange we use the formula,

[tex]SA = 4\pi r^{2}[/tex]

[tex]SA = 4X\frac{22}{7} X 3.5X3.5[/tex]

[tex]SA =[/tex] [tex]154cm^{2}[/tex]

And now to find the volume of a sphere

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

[tex]V = \frac{4}{3} X \frac{22}{7} X (3.5)^{2}[/tex]

[tex]V[/tex] [tex]= 179.59cm^{2}[/tex]

Hence, the surface area is 154[tex]cm^{2}[/tex]and the volume of a sphere is [tex]179.59cm^{2}[/tex]

Answer:

[tex] {8}^{3n} = {8}^{6} \\ 3n = 6 \\ n = 2[/tex]

Answer:

[tex]n = 2[/tex]

Step-by-step explanation:

[tex]( {8}^{n} )^{3} = {8}^{6} [/tex]

[tex] {8}^{n \times 3} = {8}^{6} [/tex]

[tex]n \times 3 = 6[/tex]

[tex]n = \frac{6}{3} [/tex]

[tex]n = 2[/tex]

On solving the provided question, we can say that - the value of the cube root is 19683 =  27

In mathematics, y3 = x since the cube root of a number x equals a number y. Each non-zero real integer has precisely one real cube root, one set of complex conjugate cube roots, and three different complex cube roots. When a number is multiplied three times, the result is the cube root of that number. Three cube roots, the final cube root, is the symbol for the cube root. The opposite of cubing an integer is finding the cube root of that number. Prime factorization is a fairly straightforward technique that may be used to get a number's cube root. The sign stands for a cube root.

here,

we have f(27)

cube will be [tex]( 27 )^3[/tex] = 19683

and f(-343) = -7

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Answer: 8 times as long

Step-by-step explanation:

Answer:

I believe it is approx. 8 times longer.

Step-by-step explanation:

2^10 = 1024

2^7 = 128

1024 / 128 = 8

i hope this is right and helps :)

Answer:  

-2 in the first box

2 in the second box

In other words, the circumcenter is located at (-2, 2). Do not type in the parenthesis.

======================================================

Explanation:

Points A and C are (2,-3) and (-6,-3) in that order.

Use the midpoint formula to find that M = (-2,-3) is the midpoint of segment AC. It is halfway between these endpoints.

The perpendicular bisector to segment AC is x = -2

The perpendicular bisector goes through the midpoint, and it is perpendicular to segment AC.

-----------------------

Points A and B are (2,-3) and (2,7) respectively.

The midpoint is at N = (2,2)

The perpendicular bisector of segment AB is the equation y = 2.

------------------------

We found the following:

Therefore, the circumcenter is located at (-2, 2) as the circumcenter is located at the intersection of the perpendicular bisectors.

The diagram is shown below. As the diagram shows, the circumcenter marked in red is the center of the circle that goes through points A, B, and C.

Side note: The circumcenter is located on the midpoint of the hypotenuse of any right triangle. See Thales theorem.

Answer:

70, 130

Step-by-step explanation:

Just took the Mastery test on PLATO and this answer was correct.

35% in each package is red.

that means nothing else than for every M&M you pick, the probability is 35% (or 0.35) that is is red.

it also means the probability to get anything but red is 1 - 0.35 = 0.65 (65%).

if I understand you correctly, the question is for the probability that there are no more than 18 red M&Ms in a package of 52.

in other words, the probabilty that there are exactly 18, or exactly 17, or exactly 16 ... or exactly 1, or no red M&Ms.

the probability to get exactly 18 red out of 52 is

0.35¹⁸ × 0.65³⁴

for one of the combinations.

and we have C(52, 18) possible combinations :

52! / (18! × (52-18)!) = 52! / (18! × 34!)

18 red = 0.35¹⁸ × 0.65³⁴ × C(52, 18) = 0.115457378...

17 red = 0.35¹⁷ × 0.65³⁵ × C(52, 17) = 0.110273578...

16 red = 0.35¹⁶ × 0.65³⁶ × C(52, 16) = 0.096708177...

15 red = 0.35¹⁵ × 0.65³⁷ × C(52, 15) = 0.077665254...

14 red = 0.35¹⁴ × 0.65³⁸ × C(52, 14) = 0.056935055...

13 red = 0.35¹³ × 0.65³⁹ × C(52, 13) = 0.037956703...

12 red = 0.35¹² × 0.65⁴⁰ × C(52, 12) = 0.022909582...

11 red = 0.35¹¹ × 0.65⁴¹ × C(52, 11) = 0.012452595...

10 red = 0.35¹⁰ × 0.65⁴² × C(52, 10) = 0.006056874...

9 red = 0.35⁹ × 0.65⁴³ × C(52, 9) = 0.002615926...

8 red = 0.35⁸ × 0.65⁴⁴ × C(52, 8) = 0.000993712...

7 red = 0.35⁷ × 0.65⁴⁵ × C(52, 7) = 0.000328083..

6 red = 0.35⁶ × 0.65⁴⁶ × C(52, 6) = 9.271902896e-005

5 red = 0.35⁵ × 0.65⁴⁷ × C(52, 5) = 2.198201902e-005

4 red = 0.35⁴ × 0.65⁴⁸ × C(52, 4) = 4.252473918e-006

3 red = 0.35³ × 0.65⁴⁹ × C(52, 3) = 6.446899235e-007

2 red = 0.35² × 0.65⁵⁰ × C(52, 2) = 7.183687719e-008

1 red = 0.35 × 0.65⁵¹ × C (52, 1) = 5.231817386e-009

0 red = 0.35⁰ × 0.65⁵² × C(52, 0) =

= 0.65⁵² = 1.868506209e-010

the probability to have no more than 18 reds is the sum of all that :

0.540472593...

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{x}{\sqrt{2} }[/tex]

Multiply numerator/ denominator by [tex]\sqrt{2}[/tex] to rationalise the denominator

= [tex]\frac{x\sqrt{2} }{\sqrt{2}(\sqrt{2}) }[/tex]

= [tex]\frac{x\sqrt{2} }{2}[/tex] → A