Which of the angles below measures more than 90 degrees but less than 180 degrees?

A.Right Angle
B.Acute Angle
C.Obtuse Angle
D.Reflex Angle

The derivative of a logarithmic function is the inverse of the exponential function. That is, if y = logb(x) then the derivative of y is given by dy/dx = 1/xb.

Step 1: Recall that the derivative of a function is defined as the rate of change of the output of the function with respect to the input.

Step 2: Logarithmic functions are inverse of exponential functions, which means that the output of a logarithmic function is the input to an exponential function.

Step 3: Therefore, the derivative of a logarithmic function is the inverse of the derivative of an exponential function.

Step 4: The derivative of an exponential function is given by dy/dx = bx, where b is the base of the exponential function.

Step 5: Therefore, the derivative of a logarithmic function is given by dy/dx = 1/xb, where b is the base of the logarithmic function.

The derivative of a logarithmic function is the inverse of the exponential function. That is, if y = logb(x) then the derivative of y is given by dy/dx = 1/xb.

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Answer: b = 2/ 81

Step-by-step explanation: From the question

11 + 2/ 9b = 23

Subtract 11 from both sides

11 - 11 + 2/ 9b = 23 -11

It becomes 2/ 9b = 12 (12 can also be written like this: 12/ 1)

Cross multiply

9b * 12 = 2 * 1

81b = 2

b = 2 / 81

Answer:

b= 54

Explanation:

11 + 2/9b = 23

2/9b = 23 -11

2/9b = 12

2 x 9b/9b = 12 x 9b

2 = 12 x 9b

12 x 9b = 2

108b = 2

b = 2/108

b = 1/54

Answer:

The proper linear equation is written in following form: y = mx + b (where m is slope, and b is y-intercept). Since we already have the slope, we need to find the y-intercept, b

So we plug in what we have:

y = mx + b

-1 = (-3)(6) + b, where we solve for b

-1 = -18 + b

b = 17

Finally, the equation of the line that passes through point (6, -1) and has a slope of -3 is y = -3x + 17

Answer:

77.5

Step-by-step explanation:

55 and 100 average provides comprehensive information about what is the average of 55 and 100, and how it is being calculated mathematically. To calculate the average, the given quantities 55 and 100 can be of any physical quantity but both should have been expressed in the same measurement units.

55 and 100 average:

= (55 + 100)/2,

= 155/2,

= 77.5

The equation of the lines obtained by the special characteristics of the points on the line that have one (either x or y) constant coordinate value are;

9. The equation is; x = 3

10. The equation is; y = -1

The equation of a straight line is an equation that is valid for the ordered pairs of the variables on the graph of the line. The equation of a straight line in slope-intercept form is; y = m·x + c

Where;

m = The slope of the line, which is the ratio of the rise to the run of the line

c = The y-intercept, which is the point the line intersects the y-axis;

9. The points on the line are; (3, -1), (3, 2), and (3, 4)

The x-coordinates of the three points on the line are each x = 3, therefore, the line is a vertical line, with a slope, m = ∞.

The equation (that satisfies the points) of the line is therefore; x = 3

10. The points on the line are; (5, -1), (1, -1), and (-3, -1)

The y-coordinates of the points on the line are the same and equal to -1, therefore, the line is an horizontal line that passes through the point y = -1. The the change in the y-values is 0, therefore, the slope of the line, m = 0 and the equation of the line is therefore;

y = -1

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[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$ 27337\\ P=\textit{original amount deposited}\dotfill & \$90000\\ r=rate\to 6.75\%\to \frac{6.75}{100}\dotfill &0.0675\\ t=years \end{cases} \\\\\\ 27337 = (90000)(0.0675)(t) \implies \cfrac{27337}{(90000)(0.0675)}=t\implies 4.5\approx t[/tex]

Answer:

4.5 years

Step-by-step explanation:

I = $ 27,337.50

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 6.75%/100 = 0.0675 per year,

then, solving our equation

I = 90000 × 0.0675 × 4.5 = 27337.5

I = $ 27,337.50

The simple interest accumulated

on a principal of $ 90,000.00

at a rate of 6.75% per year

for 4.5 years is $ 27,337.50.

Answer:

8.9

Step-by-step explanation:

There are no letters to define this properly, but the hypotenuse of the triangle with the sides 2 and 4 is = √(2²+4²) = √20 (pythagorean theorem)

Now we can find x, using pythagorean theorem again.

√20²+ x² = 10²

100 - 20 = x²

x = √80 = 4√5 ≈ 8.9

Cheers!

The average speed of the car is 40 km/hr.

It would take a car 3 hours to cover 120 km at a speed of 40 km/h.

The car moves for a time period of 3 hours.

The car has to travel a total distance of 120 km.

As we know the formula of speed is distance/time,

Hence, s = d/t km/hr

Let speed, distance and time be s, d, t respectively.

So by putting the values,

speed s = d/t = 120/3 = 40 km/hr.

Hence it can be said that the car would cover 120 km at the speed of 40 km/hr in 3 hours.

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Answer:

y=-2/3x-4

Step-by-step explanation:

y=mx+b

-8=-2/3(6)+b

-8=-4+b

-4=b

y=-2/3x-4

Answer:

Step-by-step explanation:

Because this is a greater than or equal to, we will set up the inequality system to look like this:

[tex]\frac{1}{4}x-2\leq -7[/tex]  OR  [tex]\frac{1}{4}x-2\geq 7[/tex] and solve both inequalities, one at a time.

[tex]\frac{1}{4}x\leq -5[/tex] so

[tex]x\leq -20[/tex]

The other one:

[tex]\frac{1}{4}x\geq 9[/tex] and

[tex]x\geq 36[/tex]

The graph would show all numbers less than or equal to -20 and those grater than or equal to 36. This is a true disjunction, so our answer is viable.

hope it helps you

thank you

A statement which best describes the function represented by the graph include the following: B) The function is decreasing on the interval (-∞, ∞).

For any given function, y = f(x), if the output value (range or y-value) is decreasing when the input value (domain or x-value) is increased, then, the function is generally referred to as a decreasing function.

On the other hand (conversely), if the output value (range or y-value) is increasing when the input value (domain or x-value) is increased, then, the function is generally referred to as an increasing function.

By critically observing the graph above, we can reasonably infer and logically deduce that this function is decreasing over the interval -∞ < x < ∞, from left to right.

In conclusion, the output values (range or y-values) of this function are decreasing from left to right i.e as we move towards the right.

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Answer: 0.06

Also could you mark my answer as brainliest? It helps and doesnt hurt

Answer: 0.06

Step-by-step explanation:

The probability of rolling a 5 on at least one of the dice is P(A)=8/9 ways

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

As given in the question if two six-sided dice are rolled, the probability of rolling a 5 on at least one of the dice:

for two six-sided dice total outcomes =36 ways

the probability of rolling a 5 on at least one of the dice is 4 ways.

P(A)=1-4/36

36-4/36

32/36

P(A)=8/9

Therefore, The probability of rolling a 5 on at least one of the dice is P(A)=8/9 ways.

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Answer:

25°

Step-by-step explanation:

We know the measure of a straight line is 180° . And therefore the measure of the given two co linear angles would be 180° . So ,

[tex]\implies \rm 5x-5+2x +10=180\\ [/tex]

[tex]\implies \rm 7x +5 =180\\ [/tex]

[tex]\implies \rm 7x = 180-5 = 175\\ [/tex]

[tex]\implies \rm x =\frac{175}{7}= 25^o[/tex]

And we are done

Explanation:

We have

(2x+3)(4x^2-5x+6)

Distribute it

(2x) (4x^2)=8x^3

(2x)(-5x)=-10x^2

(2x)(6)=12x

(3)(4x^2)=12x^2

(3)(-5x)=-15x
(3)(6)=18

Now we add all of them up:

8x^3-10x^2+12x^2+12x-15x+18

Now we simply it:

8x^3+2x^2-3x+18

Answer:

Step-by-step explanation:

You want to find the values of the variables in various expressions for angles, sides, or diagonals of parallelograms.

A parallelogram is a quadrilateral (4-sided polygon) with opposite sides parallel. The opposite sides are also the same length.

Opposite angles in a parallelogram are congruent (have the same measure), and adjacent angles are supplementary (total 180°).

The diagonals of a parallelogram bisect each other, so the halves of a diagonal are the same length.

These are the relationships you need to know in order to solve these problems.

Opposite sides are the same length.

  XY = WZ

  3a -4 = a +2

  2a = 6 . . . . . . . . . add 4-a to both sides

  a = 3

and ...

  YZ = XW

  2b = b +1

  b = 1 . . . . . . . . . subtract b

Opposite angles are congruent.

  ∠C = ∠A

  2y -40 = y +10

  y = 50 . . . . . . . . . . add 40-y to both sides

Adjacent angles are supplementary

  (y+10) +4x = 180

  50 +10 +4x = 180 . . . use the above value for y

  4x = 120 . . . . . . . . . . subtract 60

  x = 30 . . . . . . . . . . . divide by 4

Diagonals bisect each other. Call the center point X where the diagonals cross.

  HX = PX

  x -3 = 15

  x = 18 . . . . . . . add 3

and ...

  EX = QX

  y +3 = 12

  y = 9 . . . . . . . subtract 3

Same as problem 3.

  NX = LX

  4x = x +6

  3x = 6 . . . . . . . subtract x

  x = 2 . . . . . . . divide by 3

and ...

  MX = OX

  5y -8 = 3y +1

  2y = 9 . . . . . . . . add 8-3y to both sides

  y = 4.5 . . . . . . . divide by 2

__

Additional comment

In general, geometry problems of this sort are solved by making use of the relationships between angles, sides, perimeter, and area of geometric figures. You are expected to remember facts and formulas about these figures that would help you write equations and solve problems like this.

A rhombus is a special parallelogram that has perpendicular diagonals. A rectangle is a special parallelogram that has right-angle corners and congruent diagonals. A square is a special of both of those: a rectangle with perpendicular and congruent diagonals.

Answer:

Tonicity is a measure of the concentration of solute particles in a solution compared to another solution. It is used to describe the effects of a solution on a cell.

If a cell is placed in a 15% solute solution and the cell shrinks, it means that the solution is hypertonic to the cell. Hypertonic solutions have a higher concentration of solute particles than the inside of the cell, which causes water to move out of the cell by osmosis. As water leaves the cell, it shrinks.

So, in this case, the tonicity of the 15% solution is hypertonic.

To round a number to the nearest tenth , look at the next place value to the right (the hundredths)

F(x)=(1.05)^-x

F(0)= 9.1.05°

=9

When x is infinite

F(x) is 0

To round a number to the closest hundred: =FLOOR(A2, 100) (A2, 100)

To round a number to the closest hundred: =CEILING(A2, 100) (A2, 100)

To round a number up or down to the closest hundred. =MROUND(A2, 100) (A2, 100)

We can round decimals to a given degree of precision or number of decimal places. When exact quantities are not critical, this is utilized to make calculation easier and outcomes easier to grasp.

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Answer:

x = -4

Step-by-step explanation:

4(2-x)=24

8 - 4x = 24

-4x = 16

x = -4

Let's check

4(2 -( -4)) = 24

4 (6) = 24

24 = 24

So, x = -4 is the correct answer!

Answer:

x=4

Step-by-step explanation:

4(2-x)=24

4*2= 8   4*x = 4x

8-4x = 24

24-8 = 16

4x = 16

16/4 = 4

x=4

The statement which is true about the two equations include the following: D. The lines are perpendicular.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

-5 × 1/5 = -1

-1 = -1 (perpendicular).

In conclusion, the two equations represent perpendicular lines because there slope is an inverse that equals to one (1).

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Answer: We can start by using the identity sin^2(A) + cos^2(A) = 1.

We can square the equation 3 sin A + 4 cos A = 5, to get:

9sin^2(A) + 12sin(A)cos(A) + 16cos^2(A) = 25

Substituting the identity sin^2(A) + cos^2(A) = 1, we get:

9sin^2(A) + 12sin(A)cos(A) + 16(1-sin^2(A)) = 25

12sin(A)cos(A) = 6

Now,we can use identity tan(A) = sin(A) / cos(A) and sec(A) = 1 / cos(A)

tan(A) = sin(A) / cos(A) = (2sin(A)cos(A)) / (cos^2(A)) = 2 * (sin(A)cos(A)) / (1-sin^2(A)) = 2 * (6 / 12) = 1

sec(A) = 1 / cos(A) = 1 / sqrt(1 - sin^2(A)) = 1 / sqrt(1 - (3/5)^2) = 1 / sqrt(1 - 9/25) = 5/sqrt(16) = 5/4

Now we can add them:

tan(A) + sec(A) = 1 + 5/4 = (4+5) / 4 = 9/4 = 2.25

Hence proved that tan A + sec A = 2.25

Step-by-step explanation:

The equation (3/5)(30x - 15 )= 72 will be equal to the expression 18x - 9 = 72. The correct option is C.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Now,

The given expression (3/5)(30x - 15 )= 72 will be calculated as:-

(3/5)(30x - 15 )= 72

Multiply the left-hand side of the equation by ( 1 / 5 ) and solve.

(3 )(6x - 3 )= 72

Multiply the left-hand side of the equation by (3 ) and solve.

18x - 9 = 72

Therefore, the equation (3/5)(30x - 15 )= 72 will be equal to the expression 18x - 9 = 72. The correct option is C.

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The complete options are given below:-

A). 18x - 5 = 72

B) 50x - 25 = 72

C) 18x - 9 = 72

D) x = 4.5

Name of quantity displayed on axis and units of quantity displayed on axis.

What is axis?

In a graph, chart, or plot, an axis is a reference line that is used to compare or measure values of a variable along a certain axis. The horizontal (x) axis and the vertical (y) axis are typically the two axes of a two-dimensional graph, and each axis is used to depict a separate variable. The origin, which serves as the beginning point for measuring the variables on the graph, is where the two axes connect. The values of the variables being plotted are represented by the positions of the data points along the axes.

The following details ought to be written next to each axis of a graph when labelling it:

Name of the quantity shown on the axis: This label clearly and succinctly identifies the variable being plotted on the axis. For instance, the label for a time plot on the x-axis can be "Time (seconds)" or just "Time".

Quantity units shown on the axis: The scale for the measurements is provided by this information, which also enables appropriate data interpretation.

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Name of quantity displayed on axis and units of quantity displayed on the axis.

An axis is a reference line that is used in a graph, chart, or plot to compare or measure the values of a variable along a particular axis. The two axes of a two-dimensional graph are commonly the horizontal (x) and vertical (y) axes, and each axis is used to represent a different variable. The intersection of the two axes is known as the origin, and it is here that measurements of the variables on the graph are to start. The data points' locations along the axes represent the values of the variables being plotted.

When labeling a graph, the information listed below should be written next to each axis:

The name of the quantity represented on the axis is: The variable being plotted on the axis is identified in this label in a clear and concise manner. For example, "Time (seconds)" or "Time" are both acceptable labels for the x-axis of a time plot.

The axis displays quantity units as follows: This information gives the measurements a scale, which also allows for accurate data interpretation.

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The functions when evaluated are

Function (1)

Given that

f(n) = -4n³ - 17n² - 10n + 8 at n = -3

This means that

f(-3) = -4(-3)³ - 17(-3)² - 10(-3) + 8

Expand the brackets

f(-3) = 108 -153 + 30 + 8

Evaluate the like terms

f(-3) = -7

Function (2)

Here, we have

f(n) = -6n⁴ + 38n³ - 16n² + 28n - 29 at n = 6

This means that

f(6) = -6(6)⁴ + 38(6)³ - 16(6)² + 28(6) - 29

Expand the brackets

f(6) = -7776 + 8208 - 576 + 168 - 29

Evaluate the like terms

f(6) = -5

Function (3)

Here, we have

f(a) = 3a³ + 6a² - 15a - 19 at a = -3

This means that

f(-3) = 3(-3)³ + 6(-3)² - 15(-3) - 19

Expand the brackets

f(-3) = -81 + 54 + 45 - 19

Evaluate the like terms

f(-3) = -1

Function (4)

Incomplete

Function (5)

Here, we have

f(a) = a⁴ - 6a³ + 2a² + 25a - 9 at a = 4

This means that

f(4) = (4)⁴ - 6(4)³ + 2(4)² + 25(4) - 9

Expand the brackets

f(4) = 256 - 384 + 32 + 100 - 9

Evaluate the like terms

f(4) = -5

Function (6)

Here, we have

f(x) = x⁴ + 3x³ - x² + 13x + 13 at x = -4

This means that

f(-4) = (-4)⁴ + 3(-4)³ - (-4)² + 13(-4) + 13

Expand the brackets

f(-4) = 256 - 192 -16 - 52 + 13

Evaluate the like terms

f(-4) = 9

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Answer:

2x-3

Step-by-step explanation:

Apply Multiplicative Distribution Law: 6x - 3 - 4x

Combine like terms:2x-3

The additive inverse of − 5 − 7 is 12

The additive inverse of a number is the number that when added to the original number results in zero.

For example, the additive inverse of 5 is -5 because 5 + (-5) = 0.

In our question, the additive inverse of − 5 − 7 would be the number that when added to − 5 − 7 would give zero.

So, the additive inverse of -12 is 12 because -12 + 12 = 0

It is important to note that for any number 'a', its additive inverse is always -a. So if we take any number as a, its additive inverse will be -a.

In summary, additive inverse is the opposite of a number in terms of addition, and it is a number that when added to the original number it results in zero. and the additive inverse of -12 is 12.

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What is arithmetic progression ?

An arithmetic progression (AP) can be described in one of two ways:

A sequence known as an arithmetic progression has identical differences between each pair of terms in the sequence.

Arithmetic progressions are sequences where each term, with the exception of the first, is created by multiplying the previous term by a predetermined amount.

The formula for calculating the  nth term of an arithmetic progression is expressed as:

Tn = a + (n + 1)d

where a is the first term, d is a common difference.

A linear function is described by the explicit formula below, where n is a positive integer.

f(n) = 5n +12

For the first term

f(1) = 5(1) + 12

f(1) = 17

For the second term

f(2) = 5(2) + 12

f(2) = 22

d = 22 - 17

d = 5

Therefore, a = an+1 + 5 is the recursive formula that expresses the same function.

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