When using re-grouping to solve 21 x 43, what are the four products that would be calculated and then added?
800 + 40 + 6 + 3
80 + 40 + 60 + 3
800 + 40 + 60 + 3
800 + 3

The equivalent linear equation in standard form is 4x + 3y = 5

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

Points = (-7, 11) and (8, –9)

Point-slope form is y - 11 = -4/3(x + 7).

Recall that the point-slope form is y - 11 = -4/3(x + 7).

So, we have

y - 11 = -4/3(x + 7).

Multiply through both sides by 3

This gives

3y - 33 = -4(x + 7).

Open the brackets

3y - 33 = -4x - 28

Evaluate the like terms

3y = -4x +  5

Add 4x to both sides

4x + 3y = 5

Hence, the equation is 4x + 3y = 5

Read more about linear equations at

https://brainly.com/question/2030026

#SPJ1

Based on the information provided, ETS is an abbreviation for these three terms (Error, Trend, and Season). Following that, Exponential Smoothing Methods for an ETS system can be described, with the details specified in a smoothing style.

=> As should be obvious, combining Error, Trend, and Season on any occasion in three distinct ways yields a plethora of combinations.

=> The trend depicts the overall layout of the time. It communicates with the data's drawn-out model — its tendency.

=> The seasonal section displays the types associated with anticipated events. Finally, the error component explains what the season and trend components do not. The error is due to the disparity between the first data and the combination of trend and seasonality. As a result, if we crystallize all three parts, we will have the first data back.

=> It has a counted substance conduct when the period of seasonal swings remains constant.

=> We can label our model as ETS (M,A,M).

-> Multiplicative Mistake

-> Added substance Trend

-> Multiplicative Seasonality.

For more information on exponential smoothing, visit :

https://brainly.com/question/13181254

#SPJ4

Answer:

burgers

Step-by-step explanation:

ahhhhhhhhhhhhhhhhhh

The probability that we will see at least two meteors in the first minute is 1251.5.

So, the probability that we will see at least 2 meteors in the first minute:

Then, in 1 minute:

Now, at least 2 meteors in 1 minute:

Solve as follows:

Therefore, there is a 1251.5 percent probability that we will observe two meteors or more in the first minute.

Know more about probability here:

https://brainly.com/question/28924396

#SPJ13

Solution

From given equation

Slope = -2

and y-intercept is (0,0)

Therefore,

if we put x= 0

then y = -2*0 = 0

if we put x = 1

then y = -2*1 = -2

for graph plotting, see the attachment.

To learn more about the coordinate plane, refer to https://brainly.com/question/25042607

#SPJ1

Solution

From given equation

Slope = -2

and y-intercept is (0,0)

Therefore,

if we put x= 0

then y = -2*0 = 0

if we put x = 1

then y = -2*1 = -2

for graph plotting, see the attachment.

To learn more about the coordinate plane, refer to brainly.com/question/25042607

#SPJ1

Answer:

9ty(3t - 2y)

Step-by-step explanation:

27t²y - 18ty² ← factor out 9ty from each term

= 9ty(3t - 2y)

Using the concepts of straight line, we got 7 movies did marc watch between the beginning of week 1 and the beginning of week 5.

From the diagram given, we got that during the week 1 number of movies watch by marc is 2,while at the beginning of the week 5 the number of movies watch by marc is 9.

So, we need total  number of movies watched by marc in between week 1 and week 9 which is given by-

Number of movies watch at the beginning of week 5-Number of movies watch at the beginning of week 1

Number of movies=9-2

=>Number of movies watched by marc=7.

Hence, the number of movies marc watch between the beginning of week 1 and the beginning of week 5 is 7.

To know more about straight line, visit here:

https://brainly.com/question/29223887

#SPJ4

(Complete question)

Marc is keeping track of the total number of movies he has watched over time. The line graph below actually shows the data where the number of movies corresponds to  number of movies that had been watched at the beginning of  week shown on the horizontal axis.

How many movies did Marc watch between  beginning of week 1 and the beginning of week 5? Do not include the unit in your answer.

The technological innovation could help solve an environmental issue that is likely to threaten Australia in the future is D. Using electric cars could help lessen droughts.

Streamflows decrease, water levels in lakes and reservoirs fall, and the depth to water in wells increases when rainfall is less than normal for a period of weeks to years. If the dry weather continues and water supply issues arise, the dry period may turn into a drought.

For the first time since 2017, Australia ended 2021 in an unusual climatic state, with no region in this famously vast, mostly brown land officially declared to be in drought. It should be noted that the country has drought challenges and electric cars could help reduce the water used.

Learn more about drought on:

https://brainly.com/question/12686086

#SPJ1

Using the concept of application of derivative it is concluded that the rate of change in the area of square tile is 94.25 cm²/hour.

The area of the square is defined as the square of its sides.

Let the side of the square is a then its area will be a².

Area of square figure = Side².

Let the side of the square is x= 29cm.

It is given that the side 29 cm tile is growing by 1.625 cm per hour on heating.

And the rate of change in side of square dx/dt = 1.625 cm/hour

We have to calculate the rate of change in an area of the square (A).

hen, area A = x²

On differentiating A with respect to time(t) we get a rate of change in area

dA/dt = d(x²)/dt

= 2x dx/dt

= 2×29×1.625

= 94.25 cm²/hour

Hence, the rate of change in the area of the square tile is 94.25 cm²/hour.

To know more about differentiation, visit:

https://brainly.com/question/954654

#SPJ4

The relationship has a constant of proportionality of 37

From the graph, we have the following points

x = 1 and y = 37

These points can be represented:

x = 1

y = 37

The above parameters can be represented as the following points

(x, y) = (1, 37)

The constant of proportionality of the points is then calculated as

k = y/x

Substitute the known values in the above equation

So, we have the following equation

k = 37/1

Evaluate the quotient

So, we have

k = 37

Hence, the constant of proportionality is 37

Read more about constant of proportionality at

brainly.com/question/28413384

#SPJ1

Answer:

Step-by-step explanation:

Noah- 4 1/6 miles/hour

Emily- 8 1/10 miles/hour

Anna- 3 1/2 miles/ hour

Emily ran the quickest.

Answer:

Anna was the fastest.

Step-by-step explanation:

Following are the steps we take to determine each one's speed:

speed=distance/time

Noah went 4 1/6 miles an hour, Emily went 4 1/2 miles an hour, and Anna went 5 5/9 miles an hour. Therefore, Anna was the fastest.

Explanation:

The slope of the line

y = x + 17 is ___. 1

2. The slope of the line

y = x - 7/9 is ___. 1

the given expressions solved by using factorization.

What is factorization of the expression ?

  To factorize an algebraic statement, we first identify the terms' highest common factors before organising the words in the appropriate way. An algebraic expression's factorization is, to put it simply, the process of expansion in reverse.

Here

4) [tex]x^4-36[/tex]

=> [tex](x^2)^2 -6^2[/tex]

=> [tex](x^2-6)(x^2+6)[/tex]

5)64[tex]c^3+1[/tex]

=> [tex](4c)^3+1^3[/tex]

=> (4c+1)([tex](16c^2+4c+1)[/tex]

6)[tex]k^3-27[/tex]

=> [tex]k^3-3^3[/tex]

=>(k-3)([tex]k^2+3k+9[/tex])

7)[tex]54x^3+250y^3[/tex]

=> 2([tex]27x^3+125y^3[/tex])

=> 2([tex](3x)^3+(5y)^3[/tex])

=> 2 ( 3x+5y)([tex]9x^2+15xy+25y^2[/tex])

8)[tex]3m^4-48n^2[/tex]

=> 3([tex](m^2)^2-(4n)^2[/tex])

=> 3[tex](m^2-4n)(m^2+4n)[/tex]

9)[tex]a^7b^2-ab^2[/tex]

=> [tex]ab^2(a^6-1)\\[/tex]

=>[tex]ab^2(a^3-1)(a^3+1)[/tex]

=> [tex]ab^2(a+1)(a-1)(a^2-a+1)(a^2+a+1)[/tex]

10)[tex]x^3y^2-343y^5[/tex]

=> [tex]y^2(x^3-(7y)^3)[/tex]

=>[tex]y^2(x-7y)(x^2-7xy+49y^2)[/tex]

11)[tex]9y^7-144y[/tex]

[tex]= > 9y(y^6-16)\\= > 9y((y^3)^2-4^2)\\= > 9y(y^3+4)(y^3-4)[/tex]

Hence we can solve by using factorization formula.

To learn more about factorization

https://brainly.com/question/1315628

#SPJ1

Answer:

4√3

Step-by-step explanation:

This is a special right triangle with angle measures 30°-60°-90° and side lengths represented with a-a√3-2a respectively to angle measures.

Here, hypotenuse is given as 8 which is represented with 2a, so a = 4

Then x will be 4√3 as it's represented with a√3.

The value of x is [tex]4\sqrt{3}[/tex] .

What is a trignometric function?

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Mention all trignometric function ?

sinФ ,cosФ ,tanФ ,cosecФ ,secФ ,cotФ

What is the trick to remember trignometric formulas ?

Some People Have Curly Brown Hair Turned Permanently Brown

sinФ=[tex]\frac{p}{h}[/tex]

cosФ=[tex]\frac{b}{h}[/tex]

tanФ=[tex]\frac{p}{b}[/tex]

cosecФ=[tex]\frac{h}{p}[/tex]

secФ=[tex]\frac{h}{b}[/tex]

tanФ=[tex]\frac{b}{p}[/tex]

Given:

A right angled triangle with

base, b

perpendicular, p

hypotenuse, h=8

angle ,Ф = 60°

So by trignometric formulas ,we get

sinФ = sin60° =[tex]\frac{p}{h}[/tex]

⇒[tex]\frac{\sqrt{3} }{2} = \frac{x}{8}[/tex]

⇒[tex]x = 4\sqrt{3}[/tex]

Hence ,the value of x is obtained .

Learn more about trignometric funtions by :

https://brainly.com/question/25618616

#SPJ1

Answer: 5

Step-by-step explanation: First we do (-4-(-7))^2 which is 9 and then

(8-4)^2 which is 16 so 9+16=25 and √25 = 5.

The maximum number of deaths could be 5840000.

acc to our question-

hence,The maximum number of deaths could be 5840000.

learn more about susceptible click here:

https://brainly.com/question/4054549

#SPJ4

Answer:

Point-slope: y-5=x-6

Slope intercept: y=x-1

Step-by-step explanation:

y-y1=m(x-x1) Point slope form

y-5=1(x-6)

y-5=x-6

y=x-1

Answer:

B) n>6

Step-by-step explanation:

-2n<-12

divide both sides by -2

n>6

A and C can not be the answer because it is not equal to therefore the dot should not be filled in

Dominic is on the 8.75 mile of the bike path

From the question, the given parameters are:

The above parameters implies that

Dominic's position = 70% of the total distance

Represent the total distance with x

So, we have the following representation

Dominic's position = 70% * x

Where

x = 12.5

So, we have

Dominic's position = 70% * 12.5

Evaluate the products

Dominic's position = 8,75

Hence, Dominic's position is 8,75 miles

Read more about proportions at

https://brainly.com/question/16828793

#SPJ1

The remainder is 360.

When a polynomial p(x) is divided by a linear polynomial (x - a), then the remainder is equal to p(a).

Given a cubic polynomial, x³+8x²+11x-20

The zero of the linear polynomial.

Substitute it in the given polynomial.

As a result, we get the remainder.

x - 5 = 0

x = 5

Substitute 5 to x³ + 8x² + 11x - 20:

5³ + 8×5² + 11×5 - 20 = 125 + 8×25 + 55 - 20 = 160 + 200 = 360

Hence, The remainder is 360.

For more references on remainder theorem, click;

https://brainly.com/question/9160275

#SPJ1

Bisector-When anything is divided into two equal or congruent portions, usually by a line, it is said to have been bisected in geometry. The line is then referred to as the bisector.

What are the steps to create a bisector?

By following these steps to create a bisector in the provided curve:-

1) Join the extreme points and make a line.

2) By using compass, take width as length of a line joined in step 1.

3) Draw a curve taking extreme points.

4) Draw a line from the intersection of the curve to the line.

The above following steps should be performed  error free and you will get bisector.

#SPJ13

To know more about bisection.

https://brainly.com/question/46769271

The overall profit of the corporation as during time period is $ 2.5 x 10⁷

As the question expressed-

Earned profit - $2. 5 x 10 to the 4th power

In scientific notation - $2. 5 x 10⁴

Number of days - 1 x 10 to the 3rd power

In scientific notation - 1.0 x 10³

Total profit = Earned profit x Number of days

Total profit = $2. 5 x 10⁴ x 1.0 x 10³

Total profit = $ 2.5 x 10⁷

Thus, the overall profit of the corporation as during time period is $ 2.5 x 10⁷.

To know more about the scientific notation, here

https://brainly.com/question/1767229

#SPJ4

With the help of standard deviation we can conclude our answer.

acc to our question-

learn more about standard deviation here:

brainly.com/question/475676

#SPJ4

The absolute value equation modelling this situation is presented as follows:

|x - 58.2| = 6.4.

The function giving the absolute value of another function is defined by the piece-wise rule presented as follows:

The result is never negative, as the function gives the distance of the function f(x) from the origin, which is the point in which f(x) = 0.

The difference between both the fastest and the slowest time from the average time of 58.2 seconds is of 6.4 seconds, hence the absolute value equation is given as follows:

|x - 58.2| = 6.4.

Which can be solved applying these following rules:

To find the fastest and slowest times, respectively.

A similar problem, also about the absolute value of a function, is given at https://brainly.com/question/24368848

#SPJ1

The missing side lengths are (m = 4[tex]\sqrt{6}[/tex] , n =  6[tex]\sqrt{2}[/tex]).

According to given triangle, Using triangular formula;

tan 30 = [tex]\frac{2\sqrt{6} }{n}[/tex]

⇒[tex]\frac{1}{\sqrt{3} }[/tex]  = [tex]\frac{2\sqrt{6} }{n}[/tex]

⇒ n = [tex]6\sqrt{2}[/tex]

  n = [tex]6\sqrt{2}[/tex]

Similarly,

sin 30 = [tex]\frac{2\sqrt{6} }{m}[/tex]

⇒ [tex]\frac{1}{2}[/tex] = [tex]\frac{2\sqrt{6} }{m}[/tex]

⇒ m = [tex]4\sqrt{6}[/tex]

   m = [tex]4\sqrt{6}[/tex]

so,

    m = [tex]4\sqrt{6}[/tex] and n = [tex]6\sqrt{2}[/tex]

So, the correct option is D.

Learn more about the triangle here ;

https://brainly.com/question/9916775

#SPJ1

(98 × 100) ÷ 70

= 140%

or

[(98 - 70) × 100] ÷ 70

2800 ÷ 70

40%

basically, 40% increase

The polynomial function which has a leading coefficient 1 is (x-(7+i))(x-(5-i))(x-(7-i))(x-(5+i))

Given that a polynomial function has leading coefficient 1 and roots (7+i) and (5-i) with multiplicity 1.

We want to find the polynomial function.

As we know that the complex conjugate properties of the roots of a polynomial states that if a+bi is a root of a polynomial then their complex conjugate a-bi is also a root.

So, according to this property (7-i) and (5+i) with multiplicity 1 is also a root of polynomial.

Thus, all the roots are x=7+i, x=7-i, x=5+i and x=5-i

So, the polynomial is f(x)=(x-(7+i))(x-(5-i))(x-(7-i))(x-(5+i))

Hence, the polynomial function which has a leading coefficient 1 and roots (7+i) and (5-i) is (x-(7+i))(x-(5-i))(x-(7-i))(x-(5+i)).

Learn more about the polynomial function from here brainly.com/question/12701202

#SPJ9

The quantity of sugar that is needed in kg would be = 1.8kg

Recipe is defined as the list of components of ingredients that makes up a food product.

From the recipe given by Angela, the quantity of syrup that is used to make up to 14 biscuits= 275 ml.

The quantity of sugar that is used to make up to 14 biscuits= 150g

Therefore the quantity of sugar that would be used for syrup of 3.3 liters would be= X

That is;

275ml = 150g

3.3L = X

Convert 3.3L to ml = 3,300ml , then make x the subject of formula;

X = 3300×150/275

X = 495000/275

X= 1,800g

Then convert 1,800g to kg by dividing through with 1000;

1800/1000 = 1.8 kg

Therefore, the quantity of sugar that would be used for 3.3L of syrup would be 1.8kg.

Learn more about sugar here:

https://brainly.com/question/25936585

#SPJ1

Complete question:

Angela is following this recipe to make biscuits.Angela uses 3.3 litres of syrup.

How much margarine is needed in kg?

Recipe: Makes 14 biscuits

120 g margarine

150 g sugar

275 ml syrup

200 g oats

60 g sultanas

How much sugar is needed in kg?

The cross-sectional area is (h × w ) + ((1 ÷ 2) × 0.9 × w²) and the dimensions of the window which minimize the perimeter is (A - [tex]c_{0}[/tex][tex]w_{0}^{2}[/tex]) ÷ [tex]w_{0}[/tex] = 2√A[tex]c_{1}[/tex]([tex]c_{2}[/tex] - [tex]c_{0}c_1[/tex]) = 0.60592√A.

height of rectangle = h

height of the triangle = t

T = 0.9

width of the rectangle = w

The formula of Cross-sectional area is,

A = h × w + (1 ÷ 2)T × w

A = (h × w ) + ((1 ÷ 2) × 0.9 × w²)

Perimeter,

P = w + (2 × h) + 2√(T² + (w ÷ 2)²)

P = w + (2 × h) + 2√((0.9)² + (1 ÷ 2)²)

P = 2h + 2√((0.9)² + (1 ÷ 2)² + 1) × w

Therefore, [tex]C_{0}[/tex] = 0.9 ÷ 2, [tex]C_{1}[/tex] = 2, [tex]C_{2}[/tex] = 2√((0.9)² + (1 ÷ 2)² + 1)

minP=[tex]c_1[/tex]h+[tex]c_2[/tex]w

A = (h × w) + [tex]c_{0}[/tex]w²

substituting h = (A - [tex]c_{0}[/tex]w²) ÷ hw in P,

P = [tex]c_1[/tex]w + ([tex]c_1[/tex](A - [tex]c_{0}[/tex]w²) ÷ w)

Differentiating both sides,

(dP ÷ dw) = -2[tex]c_{0}[/tex][tex]c_{1}[/tex] + [tex]c_{2}[/tex] - ([tex]c_{2}[/tex](A - [tex]c_{0}[/tex]w²) ÷ w²) = 0

[tex]w_{0}[/tex] = (√[tex]c_{1}[/tex]A ÷ (√[tex]c_{2}[/tex] - [tex]c_{0}c_1[/tex])) = 0.962445√A

and consequently,

[tex]h_{0}[/tex] = (A - [tex]c_{0}[/tex][tex]w_{0}^{2}[/tex]) ÷ [tex]w_{0}[/tex] = 2√A[tex]c_{1}[/tex]([tex]c_{2}[/tex] - [tex]c_{0}c_1[/tex]) = 0.60592√A

Learn more about the maxima and minima at

https://brainly.com/question/18687565?referrer=searchResults

#SPJ4