What’s the answer for this question?

to get the equation of any straight line, we simply need two points off of it, let's use those two in the table

[tex]\begin{array}{|cc|ll} \cline{1-2} \stackrel{Year}{x}&\stackrel{students}{y}\\ \cline{1-2} 1&8295\\ 2&8072\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{1}~,~\stackrel{y_1}{8295})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8072}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8072}-\stackrel{y1}{8295}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{1}}} \implies \cfrac{ -223 }{ 1 } \implies - 223[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8295}=\stackrel{m}{- 223}(x-\stackrel{x_1}{1}) \\\\\\ y-8295=-223x+223\implies {\Large \begin{array}{llll} y=-223x+8518 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{for year 4, x = 4}}{y=-223(4)+8518} \implies y=7626~students[/tex]

Therefore, the work done in this problem comes out to be 144 ft pound.

The work a force does is calculated as the product of the object's displacement and the components of the applied force of the object in the displacement direction. Pushing a block with some force and accelerating the body results in work being completed.

Here,

Given : an 8 lb mass

a height = 18ft

So, we find the work done

Using formula

=> Work done = m*g*h

=>  Work done = weight * height

=>   Work done = 8*18

=> Work done=144 ft pound

Therefore, the work done in this problem comes out to be 144 ft pound.

To know more about work done , visit

https://brainly.com/question/20299423

#SPJ4

The rate of  cabin cruiser in calm water id 12 miles/h and the rate of the current is 3 miles/h.

let  the speed of cabin cruiser in still water be x miles/h

let  the speed of current be y miles/h

during travelling with the current, speed of cabin cruiser = (x+y) miles/h

during travelling against the current, speed of cabin cruiser =(x-y) miles/h

time taken during case 1 = [tex]\frac{45}{x+y}[/tex] =3 h  --->given

=> x+y = 45/3

after solving x+y=15   ------ (i)

time taken during case 2(against current) = [tex]\frac{45}{x-y}[/tex] =5  --->given

=> x-y = 45/5

after solving x-y =9   -------- (ii)

adding equation (i) and (ii) we get

x+y+x-y = 15+9

=> 2*x=24

=> x= 12

so x= 12 miles/h

so y=15-x= 15- 12 = 3miles/h

so x = 12 miles/h ,y= 3miles/h

To know more about equation click the link below:

https://brainly.com/question/29514785#

#SPJ4

The values of a= 2, b= -12 and c= 5.

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term.

Quadratic equations are another name for it.

The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.

Given:

Equation: 2x² = 12x - 5

Rewriting the equation

2x² - 12x + 5 =0

We know that the standard form of Quadratic Equation is

ax² + bx + c = 0

where a, b, and c are integers and a ≠ 0.

Now, Comparing the standard equation with Given equation we get

a= 2, b= -12, c= 5

Learn more about Quadratic Equation here:

https://brainly.com/question/17177510

#SPJ1

Answer:

89

Step-by-step explanation:

[tex] {3}^{4} + \frac{18}{3} + 2 \\ = 82[/tex]

o Answer:

It's 89 and I didnt mean to reaspond to this question so report it

The measure of the angle ∠ACD will be 150°. Then the correct option is D.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The internal angles ∠A is 33° and ∠B is 117°.

Then the measure of the internal angle ∠C is given as,

∠A + ∠B + ∠C = 180°

33° + 117° + ∠C = 180°

∠C = 30°

The angle ∠C and angle ∠ACD are supplementary angles. Then we have

∠C + ∠ACD = 180°

30° + ∠ACD = 180°

∠ACD = 150°

The measure of the angle ∠ACD will be 150°. Then the correct option is D.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

On translating n 1 unit right and 4 unit up , we get the coordinates of B as  B'( 3, 9).

The given triangle ABC has the following vertices A(1, 3), B(2, 5), and C(5, 3).

We will apply the translation rule on the following triangle,

T⟨1, 4⟩

A(1, 3)

A( 1+ 1 , 3+ 4 ) = A( 2, 7)

B(2, 5)

B( 2+ 1 , 5+ 4 ) = B( 3, 9)

C(5, 3)

( 5+ 1 , 3+ 4 ) = C ( 6, 7)

Therefore , the coordinates of B'  is B'( 3, 9) as calculated after using the rule.

Translation rule is a rule in mathematics which moves a shape left , right , up or down. The newly formed shape is the same as before , just their direction gets changed.

Learn more about Translation

brainly.com/question/12463306

#SPJ4

Answer:

false

Step-by-step explanation:

The left side equals 0.01

The right side equals 0.4

The two sides are not equal. This is a false equation.

Answer:0.01=0.0001

Step-by-step explanation:

Answer:

10/19

Step-by-step explanation:

the slope of the line is the term that multiplies x

Answer: 10/19 is the slope

Answer:

$43

Step-by-step explanation:

[tex]f(2.75) = 12(2.75) + 10 [/tex]

[tex] f(2.75) = 33 + 10 = 43[/tex]

The dimensions of the closet are 4 feet long and 12 feet wide and the perimeter is 32 feet

The perimeter of a two-dimensional shape is the total length of the outline. To find the perimeter of a rectangle, we add the lengths of all four sides.

P=2(l+w) where l=length and w = width

Given here rectangular closet is 4 feet long and It is 3 times as wide as it is long. Thus its width would be 12 feet

Now perimeter of the closet using the formula above we get

P = 2(4+12)

   = 32 feet

Hence the perimeter is equal to 32 feet.

Learn more about perimeter here:

https://brainly.com/question/6465134

#SPJ1

Answer:

[tex]84.13^{\circ}[/tex]

Step-by-step explanation:

By the exterior angle theorem, the answer is [tex]m\angle y+m\angle z=84.13^{\circ}[/tex].

Answer:

Step-by-step explanation:

USE THE EXTERIOR ANGLE THEROME!
FIRST

THE FOMULA

a+b=c

y+z=x

now we have to add y and z

45.43 + 38.7

which gives us 84.13!

Answer:

a. 25%

b. 5%

Step-by-step explanation:

a. Take 60000 divided by 240000, then times 100% = 25%

So the solution for a is 25%

b. Take 12000 divided by 240000, then times 100% = 5%

So the answer for b is 5%

By using the properties of angle, it can be proved that [tex]\angle 8 \cong \angle 1[/tex]

What is angle?

An angle is a figure formed by two straight lines that intersect each other. It is a measure of the amount of rotation between two lines or planes, typically measured in degrees or radians. Angles are used in mathematics to describe relationships between lines, shapes and objects, and they are also used in everyday life to measure and construct objects. Angles are an important part of geometry and trigonometry, and they are also used in physics, engineering, and other sciences.

[tex]\angle 8 \cong \angle 5[/tex]             Vertically Opposite angle

[tex]\angle 5 \cong \angle 1[/tex]              Corresponding angle

[tex]\angle 8 \cong \angle 1[/tex]               Transitivity property of congruency

To learn more about angle, refer to the link-

https://brainly.com/question/25716982

#SPJ1

The probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow is 47/128.

The probability that less than 2 babies will speak is

5C0 * (0.25)^0 * (0.75)^5 +  5C1 * (0.25)^1 * (0.75)^4

= (0.75)^5 +  5 * 0.25 * (0.75)^4

(0.75)^5+5*0.25*(0.75)^4 = 81/128

Therefore,

probability that 2 or more will speak is  

=  1- 81/128 = 47/128

The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probability display style q=1-pq=1-p).

This distribution is used in probability theory and statistics. A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results.

To learn more about probability

brainly.com/question/20376795

#SPJ4

Answer:

1/15

Step-by-step explanation:

3/10 x 2/9

Answer:

Mean, median, mode, and range are all statistical measures that are used to summarize and analyze data. Mean is the arithmetic average of a set of numbers, calculated by adding all the numbers together and dividing by the total number of values. Median is the middle value in a set of numbers, which is the value that divides the data into two equal halves. Mode is the value that occurs most frequently in a set of numbers. Range is the difference between the largest and smallest values in a set of numbers.

Mean is commonly used to calculate the average value of a set of numbers. The Median is commonly used to find the middle value in a set of numbers, especially when the data is not evenly distributed. Mode is commonly used to find the most frequent value in a set of numbers. The range is commonly used to find the difference between the largest and smallest values in a set of numbers.

All of these measures are useful for different purposes, and which measure to use will depend on the data and the question being asked. In general, mean is used when the data is evenly distributed, median is used when the data is not evenly distributed, mode is used when the data is categorical rather than numerical, and range is used to measure the spread of the data.

Answer:

1st one

Step-by-step explanation:

So 2|x|<4 = |x|<2, and since absolute values are always positive, I believe it is the 1st one.(Sorry if its not right I'm not very good in this area.)

Every point on the perpendicular bisector of a segment is equidistant from the endpoint is hence proved

The line segment AB and let MN is the perpendicular bisector of AB line segment.

we prove the required result by congruence of triangles.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure

From the figure,

Let P be any point on the perpendicular bisector MN. Join A to P and B to P.

To show AP=BP

In ΔANP and ΔBNP

PN=PN {common side in both triangles }

∠PNA=PNB=90°{ MN is ⊥ bisector of AB}

AN=NB {N is mid point}

By SAS rule of congruent ΔANP≅BNP

By CPCT (corresponding Parts of congruent triangles)

AP=BP

But P is point on MN

Therefore, every point on the perpendicular bisector of line segment AB is equidistant from the segments endpoints.

Hence Proved.

For such more questions about congruence of triangles

https://brainly.com/question/20521780

#SPJ4

Answer:

B

Step-by-step explanation:

Answer: The answer is B

Step-by-step explanation:

if you divide 7 by 12 you will get a decimal and a non terminating 3

Answer:

A

Step-by-step explanation:

cos A = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{18}{30}[/tex] = [tex]\frac{3}{5}[/tex]

The probability that the next person will purchase exactly one costume is 0.57.

what is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

146 visitors purchased no costume.

230 visitors purchased exactly one costume.

31 visitors purchased more than one costume.

So, the total number of customers are,

146 + 230 + 31 = 407

The total visitors purchased exactly one costume are 230.

So,

P(Purchase exactly one costume) = 230 / 407 = 0.5651 ≈ 0.57

Hence, the probability that the next person will purchase exactly one costume is 0.57.

To know more about probability, click on the link

https://brainly.com/question/24756209

#SPJ1

Mixed Number Form is 102184532768.

10∑n=18(14)n−1

The sum of a finite geometric series can be found using the formula a(1−rn1−r)

where a is the first term and r

is the ratio between successive terms.

Find the ratio of successive terms by plugging into the formula r=an+1an

and simplifying.

r=14

Find the first term in the series by substituting in the lower bound and simplifying.

a=8

Substitute the values of the ratio, first term, and number of terms into the sum formula.

81−(14)101−14

Simplify.

34952532768

The result can be shown in multiple forms.

Exact Form:

34952532768

Decimal Form:

10.66665649…

Mixed Number Form:

102184532768

To learn more about Mixed Number refer

https://brainly.com/question/28311332

#SPJ1

If the cake can be represented as 1 = 10/10, that means we can find out how much cake is left by taking and then subtracting the amount Samuel ate. The expression [1 - 1/10] represents this situation.

From the question, we have the following parameters that can be used in our computation:

Cake = 1 or 10/10

Samuel's bite = 1/10

The amount remaining is calculated as

Amount remaining = Cake - Samuel's bite

Substitute the known values in the above equation, so, we have the following representation

Amount remaining = 1 - 1/10

The above represents the required expression

Read more about expressions at

https://brainly.com/question/15775046

#SPJ1

he provider ordered lactated ringers (lr) to infuse at 75 ml/hr for the next 24 hours. 18.0 liters of lr will infuse with rate of infusion.

First, we need to determine how many milliliters of LR will be infused over 24 hours. So, we need to multiply the rate of infusion (75 mL/hr) by the number of hours (24). This will give us the total number of milliliters that will be infused. In this case, it is 75 x 24 = 1800 mL. To determine the number of liters, we need to divide this by 1000 since there are 1000 mL in 1 L. Therefore, 1800 mL/1000 = 1.8 L. We can round this number up to the tenth (one decimal place), and the answer is 18.0 L.

Learn more about rate here

https://brainly.com/question/13481529

#SPJ4

Answer:

The y-value will be 0

Step-by-step explanation:

The x-value will be 0 when we find the y-intercept

the x-value will be equal to the y-value is only at origin (0,0)

The answer is  the y-value will be 0

An example of a rational function is the first equation given, f(x)=3x²+1 over x-1.

A rational function is a type of function that can be expressed as the ratio of two polynomials. In this equation, the numerator is a polynomial of degree 2 (3x²+1), and the denominator is a polynomial of degree 1

(x-1).

The second equation given, x over 3 = 8 over 3, is not an example of a rational function. This equation is a rational expression, which is an expression that is the ratio of two polynomials, but it is not a function because it does not map a single input to a single output.

The third equation given, 1 over 3x-1 +3<0, is not an example of a rational function either. This equation is an inequality, not a function, and it does not have a ratio of two polynomials.

Learn more about rational functions:

brainly.com/question/19044037

#SPJ4

Ue the given sets U={a,b,c,d,…,x,y,z} X={t,e,a,,i,n,g} Y={,u,a,v,e} therefore the elements in  X n Y is a, e

we have to calculate |X∩Y|

U={a,b,c,d,…,x,y,z}

X={t,e,a,,i,n,g}

Y={,u,a,v,e}

X n Y= a, e

because in intersection set the elements coming in XnY is those which are common in X and Y

learn more about of set here

https://brainly.com/question/29581043

#SPJ4

Answer:

Variables

Step-by-step explanation:

Variables are the characteristics of the individuals of the population being studied.

Answer:c

Step-by-step explanation: i did the test