Engineers are analyzing the performance of windshield wiper blades. At the end of one swipe, the tip of a blade is at (-5, 7) when represented graphically. What is the sine value of this function?

After 40 hours the population of bacteria will be equals to 318 hours.

We can calculate the total population growth using the following equation:

A(t)= A₀× 2ᵗ/¹⁵

Where, A(t) --> the total population

A₀ --> the initial population

t --> the time in hours

From the statement we know that the population of bacterias doubles every 15 hours, so, using the formula we have: A(15) = A₀ × 2ᵗ/¹⁵

The initial population is = 50 , then

A(15) = 50×2¹⁵/¹⁵ = 100

It shows that every 15 hours, the population of bacterias doubles it size. We are asked to calculate the popualation after 40 hours, so:

A(40) = 50 × 2⁴⁰/¹⁵

= 6.35 × 50 = 317.5 ~ 318

So, after 40hours the population of bacteria will be 318.

To learn more about population growth, refer:

https://brainly.com/question/27779235

#SPJ4

An alias cannot be used when a table is required to be joined to itself in a recursive query is false.

The majority of relational database management systems, if not all of them, include the SQL feature known as an alias (RDBMSs). Database administrators and other database users can use aliases to cut down on the amount of coding necessary for a query and to make it easier to understand. Additionally, the real names of database fields can be protected using aliasing as an obfuscation approach.

You can alias tables and columns in SQL. A correlation name is another term for a table alias. [1] For the duration of a SELECT query, a programmer can temporarily give a table or column a different name by using an alias. The column or table are not truly renamed when an alias is assigned.

To learn more about Database:

https://brainly.com/question/518894

#SPJ4

On solving the provided question, we can say that - the probability that A occurs given that B occurs is [tex]5/8 X 8/5 X 5/9 = 5/9[/tex]

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.

probability that the event A - [tex]5/8[/tex]

probability that event B - [tex]5/8,[/tex]

probability that A occurs given that B  - [tex]5/8 X 8/5 X 5/9 = 5/9[/tex]

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

The required measure of angle x is given as 60°, for the given quadrilateral.

A quadrilateral is a four-sided enclosed shape, whose sum of the internal angle is equal to 360°,
Examples of the quadrilateral, square, rectangle, etc.

Here,
The sum of the angle of the quadrilateral is equal to 360,
So,
x + 100 + 130 + 66 = 360
x = 360 - 296
x = 64°

Thus, the required measure of angle x is given as 60°, for the given quadrilateral.

Learn more about quadrilaterals here:
https://brainly.com/question/13805601
#SPJ1

Answer:

2684 [tex]units^{2}[/tex]

Step-by-step explanation:

We find the area of the 4 triangles

area = 1/2 base x height  All the bases area the same measurement

a = 1/2(22)(61)

a = 671

There are 4 sides

671 x 4 = 2684

The limit is 32. We can use Taylor series expansion to evaluate the limit.

The Taylor series expansion of sin(4x) around x=0 is 4x - (4x)^3/3! + (4x)^5/5! - ... .

So, sin(4x) = 4x - (4x)^3/3! + (4x)^5/5! - ...

then we can substitute this in the limit expression

As we can see, when x is approaching to 0, the expression in the numerator goes to 32, and the expression in the denominator goes to 0. Therefore the limit is 32.

In this case, we used Taylor series expansion to evaluate the limit, it's a useful tool when the function is not easy to work with or not in a known form. It's based on the idea that a function can be approximated by a polynomial when x is close to a point.

Learn more about the Taylor series here:

https://brainly.com/question/23334489

#SPJ4

The given measurement is equal to 31 quarts.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Given that, 7 gallon 3 quarts

A gallon is primarily used to measure liquid volume and is equal to 4 quarts, 16 cups or 8 pints.

Here, 7 gallon 3 quarts

= 7×4+3

= 31 quarts

Therefore, the given measurement is equal to 31 quarts.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

#SPJ1

79 rounded to the nearest 10 is 80.

79 lies between 70 and 80. 75 is exactly half-way between 70 and 80, and 79 is between 75 and 80. So 79 is closer to 80 than 70 on the number line and it rounds up to 80.

  70 , 71 , 72 , 73 , 74 , 75 , 76 , 77 , 78 , 79 , 80

We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

If the last digit is 0, then we do not have to do any rounding, because it is already rounded to the ten.

Therefore, 79 rounded to the nearest ten = 80.

Learn more about nearest numbers here :

https://brainly.com/question/17331539

#SPJ4

The sum of the equation of i from i^2 to i^23 is equal to -1, which is the result of subtracting i from itself.

i^2 = -1

i^3 = -i

i^4 = 1

i^5 = i

i^6 = -1

i^7 = -i

i^8 = 1

i^9 = i

i^10 = -1

i^11 = -i

i^12 = 1

i^13 = i

i^14 = -1

i^15 = -i

i^16 = 1

i^17 = i

i^18 = -1

i^19 = -i

i^20 = 1

i^21 = i

i^22 = -1

i^23 = -i

Therefore, i^2 + i^3 + ... + i^23 = -i + (-i) = -1

The sum of the powers of i from i^2 to i^23 can be calculated by starting with i^2=-1 and then adding the result of each successive power to the sum. For example, i^3=-i and so i^2 + i^3=-1-i=-i. This process is then repeated for each of the powers i^4 to i^23, until the result of i^23=-i is added to the sum. This gives a final result of -i + (-i) = -1.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

The number of contacts that Kamal has more than Emma, given the relationship between their phone contacts, is 396 contacts

First, find the number of contacts Emma has :

= 8 + ( 1 / 3 x Marcus's contacts )

= 8 + ( 1 / 3 x 243 )

= 8 + 81

= 90 contacts

The number of contacts for Kamal is:

= 2 x Marcus

= 2 x 243

= 486 contacts

The number of contacts that Kamal has more than Emma is:

= 486 - 90

= 396 contacts

Find out more on contacts at https://brainly.com/question/17028690

#SPJ1

Radius of circle is 3.95 meter

What is Radius?

The line segment formed when we connect a point on a circle's circumference to its precise center is referred to as the ring's radius. The radius of a circle is the distance between the center and any point on its circumference.  The diameter is twice the radius. Typically, the radius is denoted by r or R.

As we well aware, the formula for the circle's area is

Area=π[tex]r^{2}[/tex]

From the question, we know that area is 49 ㎡ substituting π=3.14 rearranging the above formula in terms of radius we get

[tex]r=\sqrt{\frac{Area}{3.14} } \\\\r=\sqrt{\frac{49}{3.14} } \\\\r=3.95 m[/tex]

Hence Radius of the circle is 3.95 meter.

To know more about Radius of circle, check out:

https://brainly.com/question/27696929

#SPJ1

Answer: x=6

Step-by-step explanation:

Answer: x = 6

Step-by-step explanation:

Step 1: Subtract 3/5 from both sides.

2/5x + 3/5 − 3/5 = 3 - 3/5

2/5x = 12/5

Step 2: Multiply both sides by 5/2.

(5/2)*(2/5x) = (5/2)*(12/5)

x = 6

The balanced half- cell reaction for the process that occurs at the anode in acidic solution: V⁺² + H₂O → VO₂⁺ + 2H⁺ + e⁻.

Cell notation is a condensed notation for the two half-cell reaction in an electrochemical or galvanic cell. These two half-cell reactions are divided by a salt bridge, with the cathode cell on the right and the anode cell on the left.

At the anode, oxidation happens, whereas at the cathode, reduction happens.  Cell notation is used to represent the reaction that is being given. The reaction occurring on the anode is written first in cell notation.

Oxidation occurs at the anode while reduction occurs at the cathode. Anode is a positive electrode in this case, and cathode is a negative electrode. Oxidation occurs at the anode while reduction occurs at the cathode.

To learn more about Half reaction :

https://brainly.com/question/2491738

#SPJ4

Answer:

the answer is the 1 one S = (V,S.I,D,I,I,N,O)

Step-by-step explanation:

Answer:

The answer would be A S=(V,S,I,D,I,I,N,O

Step-by-step explanation:

The combined mass of the pebbles that are 4 1/2 grams more is 66 grams.

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

Given:

The mass of the pebbles is shown in the image attached below,

Calculate the combined mass as shown below,

The combined mass = 4.5 × 5 + 5 × 4 + 5.5 × 3 + 1 × 7

The combined mass = 22.5 + 20 + 16.5 + 7

The combined mass = 39 + 20 + 7

The combined mass = 66

Thus, the combined mass is 66 grams.

To know more about addition:

https://brainly.com/question/28008319

#SPJ1

[tex]8 < x+2 < 20[/tex]

a) Add -2 to all sides.

[tex]8+-2 < x+2-2 < 20+-2[/tex]

[tex]6 < x < 18[/tex]

Your answer would be [tex]6 < x < 18[/tex]

Your answer should be: (6,18)

For graph A: The x intercept is -1.5 or 2 and the y intercept is 12

For graph B : The x intercept is -3,-2 and 1 and the y intercept is -6

For graph C : The x intercept is -3 and 4 and y intercept is 90.

Graph A and B are symmetric graphs.

A graph is symmetric with respect to a line if reflecting the graph over that line leaves the graph unchanged. This line is called an axis of symmetry of the graph.

A symmetric graph is a graph that is both edge- and vertex-transitive.

In other words, Graph A and B are symmetric graphs because the group of its auto morphisms has degree greater than 1.

learn more about symmetric graph from

https://brainly.com/question/30085550

#SPJ1

The mean of the given dataset is 42 and mode is 46. SO the option b is correct.

In the given question we have to find the mean and mode of the following data set.

The given data set is

59   16   57   46   58   21   36   41   23   64   20   66   40   51   28   46

We firstly find the mean.

As we know that the mean is the ratio of sum of all number and total number. So

Mean = Sum of All Numbers/Total Number

Sum of all Numbers = 59 + 16 + 57 + 46 + 58 + 21 + 36 + 41 + 23 + 64 + 20 + 66 + 40 + 51 + 28 + 46

Sum of all Numbers = 672

Total Number = 16

Mean = 672/16

Mean = 42

As we know that,

The value that happens most frequently is the mode. The only average that is capable of having zero, one, or multiple values is the mode. Ordering the numbers first aids in determining the mode.

As we can see in the data that 46 is occur 2 times. So the mode is 46.

To learn more about mean and mode link is here

brainly.com/question/6813742

#SPJ4

The mean and mode of the given data set is 43.5 and 46 respectively.

The mean and mode of the given data set is to be calculated.

To calculate the mean, add together all of the values and divide by the number of values.

Mean = (59 + 16 + 57 + 46 + 58 + 21 + 36 + 41 + 23 + 64 + 20 + 66 + 40 + 51 + 28 + 46) / 16

Mean = 43.5

To calculate the mode, identify the value that appears in the data set the most.

Mode = 46

Therefore, the mean and mode of the given data set is 43.5 and 46 respectively.

Learn more about mean and mode here:

https://brainly.com/question/14859109

#SPJ4

Therefore , the solution of the given problem of probability comes out to be T distribution, which has 28 degrees of freedom, has the widest distribution.

Probability theory is a branch of mathematics that focuses on calculating the likelihood that an assertion is accurate or that an event will occur. Any quantity above range 0 and 1, with 1 signifying certainty and commonly 0 conveying the probability of occurrence, can be used to indicate a chance.

Here,

Based on standard deviation, the distribution's spread (narrow or wide) is established.

The distribution has a broad spread if the standard deviation is high.

The distribution has a low spread if a standard deviation is minimal.

The standard deviation, often known as the standard error of mean, is uo for the t distribution.

degrees of freedom equal to one.

Standard deviation is high because there are few degrees of freedom (i.e., n is few).

the greater diffusion of t

Standard deviation decreases as freedom degrees increase, or as n increases

tighter t distribution

Consequently, the test statistic takes the value of the normal distribution for very big n. ( z distribution )

The z distribution is therefore the narrowest distribution.

T distribution, which has 28 degrees of freedom, has the widest distribution.

Therefore , the solution of the given problem of probability comes out to be T distribution, which has 28 degrees of freedom, has the widest distribution.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ4

Answer: Ace

Step-by-step explanation: Since the line rests on y = 100, the range is indeed y= 100.

(note that domain is x while range is y)

The height of Billy's drawing, obtained by using the scale factor of 0.5 inches is equivalent to 2 feet, and Billy's height of 5'6'' is 1.375 inches.

A scale factor is a number by which the dimensions of the sides (the side lengths) of an original figure is multiplied in other to obtain the dimensions (lengths of the sides) of the image.

The height of Billy's drawing can be obtained by multiplying Billy's height by the scale factor used for the drawing.

The scale of the drawing is 0.5 inches ≡ 2 feet

Billy's height = 5'6'' (5 feet 6 inches)

Dividing both sides of the scale factor by 2, we get;

0.5 inches ÷ 2 ≡ 2 feet ÷ 2

0.25 of an inch ≡ 1 ft

5'6'' (5 feet 6 inches) = 5 feet 6 inches = 5.5 feet

The scale factor equation is; 0.25 of an inch = 1 ft

Multiplying both sides of the scale factor equation by 5.5, we get;

5.5 × 0.25 of an inch ≡ 5.5 × 1 ft

1.375 inches ≡ 5.5 ft

Learn more about the scale factor of a drawing here:

https://brainly.com/question/9881728

#SPJ1

A graph of the image of the triangle with vertices (3, 1), (3, 4), and (1, 4) when reflected across the y-axis is shown in the image attached below.

In Mathematics, a reflection can be defined as a type of transformation which moves every point of the geometric figure by producing a flipped, but mirror image of the geometric figure.

In Geometry, a reflection over the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of this triangle the image coordinates include the following:

(x, y)                               →              (-x, y)

Coordinate A = (3, 1)   →  Coordinate A' = (-(3), 1) = (-3, 1).

Coordinate B = (3, 4)   →  Coordinate B' = (-(3), 4) = (-3, 4).

Coordinate C = (1, 4)   →  Coordinate C' = (-(1), 4) = (-1, 4).

Next, we would use an online graphing calculator to plot the coordinates of the image as shown in the image attached below.

Read more on reflection here: brainly.com/question/10260342

#SPJ1

The single equivalent discount is [tex]43[/tex]%

Let's figure out the final price after two discounts on the marked price that come in succession.

Price after first discount =[tex]{100-(100[/tex]×[tex]40/100)} = (100-40) = Rs. 60[/tex]

Price after second discount [tex]= {60-(60[/tex]×[tex]5/100)} = Rs. 57[/tex]

Difference between the final price and the initial price [tex]= (100-57) = Rs. 43[/tex]

Single equivalent discount[tex]= (100[/tex] × Total discount amount / Initial price) = [tex]100[/tex]× [tex]43/100 = 43%[/tex]

Hence, the single equivalent discount is [tex]43%[/tex]%.

To know more

brainly.in/question/23178262

Answer:

(4m^3-2t)^2 = 16m^6 - 16m^3t + 4t^2

(2b^2-g)(2b^2+g) = 4b^4 - g^2

(4q+5t)(4q-5t) = 16q^2 - 25t^2

(7v-2)^2 = 49v^2 - 28v + 4

(Z+13)(Z-13) = Z^2 - 169

(X-10)^2 = X^2 - 20X + 100

(q+8)^2 = q^2 + 16q + 64

(n+9)^2 = n^2 + 18n + 81

Step-by-step explanation:

The quadrilaterals with vertices (a, b) (-b, a) (-a, -b) (b, -a) is square.

A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees. The square's diagonals are also equal and split at a 90-degree angle.

A rectangle with two opposite sides that have the same length can also be referred to as a square.

Given the  quadrilaterals with vertices:

(a, b) (-b, a) (-a, -b) (b, -a),

Let A(a, b), B(-b, a),  C(-a, -b),  and D(b, -a) are the vertices,

let a = 1 and b = 2

coordinate is  A(1, 2), B(-2, 1),  C(-1, -2),  and D(2, -1)

distance between two coordinates is given by,

d = √((x₂ – x₁)² + (y₂ – y₁)²)

finding distance between AB, BC, CD, DA

Distance between AB = √((-b – a)² + (a – b)²)

Distance between AB = √((-2 -  1)² + (1 – 2)²)

Distance between AB = √10 units

Distance between BC = √((-1 + 2)² + (-2 + 1)²)

Distance between BC = √10 units

Distance between CD = √((2 + 1)² + (-1 + 2)²)

Distance between CD = √10 units

Distance between DA = √((2 - 1)² + (-1 - 2)²)

Distance between DA = √10 units

since distance between AB = BC = CD = DA

so the quadrilateral is square.

Hence the quadrilateral is square.

Learn more about squares;

https://brainly.com/question/14198272

#SPJ1

The radius and the diameter for each circle is given as follows:

16. r = 17 cm, d = 34 cm.

17. r = 35 cm, d = 70 cm.

18. r = 29 ft, d = 58 ft.

19. The circumference of the circle is given as follows:

38 feet.

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr²

Hence the formula for the radius, depending on the area, is given as follows:

r = square root(A/π)

The diameter is twice the radius.

Hence the radius for each circle is given as follows:

The circumference of a circle of diameter d is given as follows:

C = πd.

Hence the circumference for item 19 is given as follows:

C = 12π

C = 38 feet.

More can be learned about the area of a circle at https://brainly.com/question/15673093

#SPJ1

Answer:

37.68 cubic units

Step-by-step explanation:

Volume of a cone = πr² [tex]\frac{h}{3}[/tex]

Volume = 3.14 * 3² * [tex]\frac{4}{3}[/tex]

Volume = 3.14 * 9 * [tex]\frac{4}{3}[/tex]

Volume = 3.14 * 3 * 4...(we can cancel out the 3 by dividing 9 by 3)

Volume = 3.14 * 12

Volume = 37.68 cubic units

The jobs Deepak will accept must require at least 3 hours of work in order for him to earn at least $90 per job: 30x + 15(x) ≥ 90.

30x + 15x ≥ 90

45x ≥ 90

x ≥ 90/45

x ≥ 2

To determine the restrictions on the jobs Deepak will accept, we must first write an inequality that shows the minimum number of hours he must work in order to make at least $90 per job. This inequality is

30x + 15x ≥ 90,

which can be simplified to

45x ≥ 90

Dividing both sides of the inequality by 45 gives us

x ≥ 90/45,

which can be further simplified to x ≥ 2. This means that Deepak will only accept jobs that require at least 2 hours of work in order to make at least $90 per job.

Learn more about order here

https://brainly.com/question/29182748

#SPJ4

The graph of the equation y = -4 is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,-4)

A straight line is an infinitely wide one-dimensional figure. It is made up of an infinite number of points connected at both ends by another point. A straight line is devoid of all curves. It can be angled, vertical, or in any direction. A 180-degree angle will always result from drawing an angle between any two points on a straight line. we will learn how to read straight line equations in various formats and how to use them to answer questions about straight lines.

So that, The graph of the equation y = -4 is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,-4) as shown in attached diagram.

To learn more about linear graph visit:

brainly.com/question/28393413

#SPJ4