True or false:

If f(x) is a cubic function
and f(1) = 0, f(3) = 0 and
ƒ(4) = 0,
then f(5)=8

The difference between log with base 10 and log with base e is that the log with base 10 is called a common logarithmic function and the log with base e is called a Natural Logarithmic Function .

What is Logarithmic Function ?

The logarithm is defined as a power to which a number must be raised in order to get some other values. Log is the most convenient way to express the large numbers.

The Logarithm with base 10 is defined as a power to which the  number must be raised  to get some other number. It can also be  called as the logarithm of base 10, or common logarithm.

The general form of Common  logarithm is written as: [tex]log_{10} (x)[/tex] ;

The Logarithm  with base e is called as Natural Log , where e is an irrational number .

The general form to represent a Natural Log is : [tex]log_{e} (x)[/tex] or [tex]ln(x)[/tex] .

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Answer:

25

Step-by-step explanation:

let there be x questions on the test

80% of x = 20

80% * x = 20

80% = 0.8

0.8 * x = 20

divide both sides by 0.8 to isolate x

x = 20/0.8 = 25

Answer:

82%

Step-by-step explanation:

The ordered array will be 9.1 9.4 9.7 10.0 10.2 10.2 10.3 10.8 11.1 11.2 11.5 11.5 11.6 11.6 11.7 11.7 12.2 12.2 12.3 12.4 12.8 12.9 13.0 13.2

What is leaf plot?

A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.

In this instance, the number on the left of the division stands in for the number in the tens place. The value or values on the right side are the ones that fall between the tens and ones places. The number "9.1" is the equivalent of the word "911," for instance. When a number appears more than once on the right side of a division, that number appears more than once in the tens place. In this case, the three numbers 9.1, 9.4, and 9.7 are represented by the string "9 | 147".

Hence, There is an ordered array when reading the stem and leaf plot from top to bottom:

9.1 9.4 9.7 10.0 10.2 10.2 10.3 10.8 11.1 11.2 11.5 11.5 11.6 11.6 11.7 11.7 12.2 12.2 12.3 12.4 12.8 12.9 13.0 13.2

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Answer:

x + 18

Step-by-step explanation:

The variable is going to be the amount of money Jason has before his grandmother gives him money.

That variable is x.

Then, his grandmother gives him $18. The $18 would be added to the amount of money that Jason already has.

The expressions would be x + 18.

On solving the provided question, we can say that it is right angle triangle provided, so  cos 60 = 3/H => 1/2 = 3/H => H = 6

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

it is right angle triangle provided,

so

cos 60 = 3/H

1/2 = 3/H

H = 6

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9514 1404 393

Answer:

  -2

Step-by-step explanation:

When you're looking for f(3), you want the y-value that corresponds to the x-value of 3. Find it by locating 3 on the x-axis. Then follow the vertical grid line to the point where the function value is shown. From there, identify the y-coordinate of that point. That y-coordinate is f(3).

  f(3) = -2

__

The open dots at the ends of the curves at x=3 mean the function is not defined at those points: (3, 1) or (3, -9). The solid dot at (3, -2) tells you the function value at x=3 is -2.

Answer:

Step-by-step explanation:

the coefficients of this quadratic are -1, 4 and 4, and so the discriminant b^2 - 4ac works out to 16 - 4(-1)(4), or 0.  Thus this graph has two real, equal roots which are the same point on the graph, the vertex, the maximum of the function.

Letting x = 0, we find that y is 4.  Thus, the y-intercept is (0, 4).  Plot this.

Using the formula x = -b / [2a], we find the axis of symmetry:

   x = -4 / [2*(-1)] = -4 / [-2] = +2

The axis of symmetry is the vertical line x = 2.  

At x = 2, y = -(2)^2 + 4(2) + 4, OR -4 + 8 + 4, or 0.

The vertex and maximum value are (2, 0).  The graph touches the x-axis in only one place.

Draw the axis of symmetry x = 2.  Plot the vertex (2, 0) and the y-intercept.  Reflect the y-intercept about the axis of symmetry to obtain a second point on the graph at the same y-value as (0, 4).

Answer:

Y=mx+b

Step-by-step explanation:

That's the slope equation, though y could mean anything from a point on a graph to the question.

To find the nature of the roots of a given quadratic equation, use the quadratic formula, which is [tex]x= \frac{(-b±\sqrt{b^2-4ac} )}{2a}[/tex].

Substitute the values of a, b, and c from the given equation into the formula and solve for x. The nature of the roots can then be determined by examining the sign of the discriminant, b² - 4ac.

If the discriminant is positive, the quadratic equation will have two real roots; if the discriminant is zero, the quadratic equation will have one real root; and if the discriminant is negative, the quadratic equation will have two complex roots.

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Answer:

Step-by-step explanation:

range is biggest value minus smallest value: 36

median is the line in the middle of the box: 30

minimum value is the smallest number of the set: 6

maximum value is the biggest number of the set: 42

first quartile is the first line of the box plot: 27

third quartile is the third line of the box plot: 38

Answer:

SeeStep by Step explanation

Step-by-step explanation:

Currently, light bulbs need nominal voltage in their operation ( that is if your system is 120 V  phase-neutral ) they will have a nominal voltage 120 (v). For that reason, all of them need this voltage for their proper operation, which follows that in any circuit the bulbs must be installed in parallel.

If you install them in series, the first will get most of the 120 (v) let´s say  90 (V), and  maybe work, but the next one won´t work because the voltage will drop and between the terminals of the second bulbs you surely measure 20 (V) or less, the third one will be working with 10 (V) according to kirchhoff´s second  law

Answer:

x = 9

Step-by-step explanation:

The equation is y = mx + b

m = The slope

b = y-intercept

The slope here is undefined, and there is no y-intercept, so the equation is

x = 9

Answer:

look at the picture I sent

Answer:

12

Step-by-step explanation:

According to the Pythagorean Theorem,

5^2 + X^2 = 13^2, OR

25 + X^2 = 169

X^2 = 169, SO X = √144, or 12

The unknown side has length 12.

Answer:

x+6=y and 3x=12

Step-by-step explanation:

Let x be the distance traveled by Bryan and let y be the distance traveled by Sam then the first equation would be:

x+6=y (x plus 6 is equal to y, Bryan's distance plus 6 is equal to Sam's distance) and the second one is:

3x=12 (3 times x is 12, 3 times the distance travelled by Bryan is 12)

So our statements/equations are:

x+6=y and

3x=12 (we dont write this as x=4 as it asks us to give the statements we got from the information given, we only start simplifying once it tells us to solve)

23/111 is a reasonable estimate of the probability that the next fountain drink ordered is a lemonade.

Probability theory deals with numerical evaluations of the likelihood that an event will occur.

Probabilities are mathematical explanations of the likelihood that an event will occur or that a proposition is true. The likelihood of an event is represented by a number between 0 and 1, with 0 typically signifying impossibility and 1 typically signifying certainty.

A probability represents the likelihood or chance that a particular occurrence will take place. Probabilities can be expressed as ratios between 0 and 1, or as percentages between 0% and 100%.

March Madness Movies served 23 lemonades out of a total of 111 fountain drink last weekend.

The probability that the a fountain drink ordered is a lemonade will be :-

  P=  [tex]\frac{Number of lemonade}{Total fountain drink}[/tex]

 = 23/111

Based on this data, the reasonable estimate of the probability that the next fountain drink ordered is a lemonade = 23/111.

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Answer:

perimeter of parallelogram 2 (a+b)

2 (7+5)

24

perimeter of semicircle=1\2 pi D

1/2 22/7 × 5

get your answer

add the 24 and the answer you get

if decimal move three decimal to right and that is the answe

Answer:

one solution

Step-by-step explanation:

Answer:

This mean the line intersect at one point the  y-intercpt. recall that interscecting line have one solution and therefore the system is consistent. Beacuse the line are not the same, but equations are independent.

Step-by-step explanation:

i hope his help =)

The area of the actual gymnasium is 25,650 square feet.

We know that the scale factor of the blueprint to the actual gymnasium is 1 in 15 ft, which means that every 1 inch on the blueprint represents 15 feet in the actual gymnasium. To find the area of the actual gymnasium, we can use the formula:

Area of actual = (Area of blueprint) x (Scale factor)²

We know that the area of the floor on the blueprint is 114 square inches, so we can plug that into the formula:

Area of actual = 114 in² x (15 ft/1 in)² = 114 in² x 225 ft² = 25,650 ft²

Therefore, the area of the actual gymnasium is 25,650 square feet.

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The value of y from the equation is y = 5

The measure of RS = 38

The measure of ST = 18

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , on the number line , the measures of the sides are

The measure of RS = 7y + 3   be equation (1)

The measure of ST = 2y + 8   be equation (2)

The measure of RT = 56

Now , from the line segment ,

RT = RS + ST   be equation (3)

Substituting the values in the equation , we get

7y + 3 + 2y + 8 = 56

On simplifying the equation , we get

9y + 11 = 56

Subtracting 11 on both sides of the equation , we get

9y = 45

Divide by 9 on both sides of the equation , we get

y = 5

Substitute the value of y in equations (1) and equation (2) , we get

The measure of RS = 7 ( 5 ) + 3 = 38

The measure of ST = 2 ( 5 ) + 8 = 18

Hence , the equations are solved and the value of y = 5

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Answer:

no solution

Step-by-step explanation:

The lines do not cross at any point; therefore, there is no solution.

Answer:

The answer is A!

Step-by-step explanation:

Answer:

207 divided by 14 = 14 remainder 11 so.. none of the answers are right

14x11=154

14x9=126

14x23=322

14x8=112

Step-by-step explanation:

Speed of the given object in centimeters per hour

= 0.23 cm / hour

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Like 1 yard = 91.44 cm

1 month = 730 hrs.

Given,

Distance covered by the object = 11 yards

Distance covered in cm = 11 × 91.44 = 1005.84 cm

Time taken to cover 11 yards = 6 months

Time taken in hours = 6 × 730 = 4380 hrs.

Speed of the object = distance covered by the object / Time taken

Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour

Hence,  in centimeters per hour,

the speed of the object is 0.23 cm / hour.

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