MATHEMATICS COLLEGE

What does the model predict for 1900?

Answers

Answer 1

Answer:

Answer:

64.0% is the correct answer.

Step-by-step explanation:

As per the given scatter plot of voter turnout every year:

X axis represents the year and

Y axis represents the percentage of people who voted.

The model was predicted as per the equation:

$y = -0.1271x + 307.53$

To find:Prediction for the year 1900.

Putting the value of $x=1900$ , the value of y will be the predicted value of the model i.e. the value of percentage of voter turnout.

$\Rightarrow y = -0.1271* (1900) + 307.53\n\Rightarrow y = -241.49 + 307.53\n\Rightarrow y = -64.04\%\nOR\ny \approx 64.0\%$

So, the model predicts $y \approx 64.0\%$ for the year 1900.

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Mang Jose plans to fence his rectangular lot before he will plant mushrooms for his mushrooms production business. The perimeter of the lot is 40 meters and the area is 96 square meters.Using the concept of the sum and product of roots of a quadratic equation, how would you determine the length and the width of the rectangular lot? Provide a quadratic equation representing this scenario.

Someone help me

Answers

Answer: The rectangular lot is 12x8 meters

Step-by-step explanation:Perimeter of a geometric figure is the sum of all its sides.

A rectangle is a quadrilateral that has opposite sides parallel and equal, which means, and suppose l is length and w is width:

P = 2l + 2w

The perimeter of the lot is 40m, thus:

2l + 2w = 40

Area of a rectangle is calculated as:

A = length x width

The lot has area of 96, thus:

lw = 96

Solving the system of equations:

2l + 2w = 40 (1)

lw = 96 (2)

Isolate l from (1):

2l = 40 - 2w

l = 20 - w (3)

Substitute (3) in (2):

w(20-w) = 96

$-w^(2)+20w=96$

$-w^(2)+20w-96=0$

There are many methods to determine the roots of a quadratic equation. One of them is using the sum and product of those roots.

Sum of the roots is given by:

$sum = (-b)/(a)$

$sum=(-20)/(-1)$

sum = 20

Product of the roots is:

$prod=(c)/(a)$

$prod=(-96)/(-1)$

prod = 96

The roots of the quadratic equation are numbers which the sum results in 20 and product is 96:

w₁ = 12

w₂ = 8

If we substitute w to find l, the numbers will be l₁ = 8 and l₂ = 12.

Since length is bigger than width, the rectangular lot Mang Jose has to plant mushrooms measures 12m in length and 8m in width

How are exponents related to taking the root of a number?

Answers

Answer:

with exponents, you take a number and multiply it by itself.

Step-by-step explanation:

the root of a number is the number that can be multiplied a certain amount of times to get us that number.

therefore roots get you to the root of a number.

Hope it helps!

(even if its two weeks late.....)

C(X)=6X+600 marginal cost

Answers

Answer: 6

Step-by-step explanation:

Derivate C(x)=6x+600

C'(x)= d/dx (6x) + d/dx (600)

C'(x)= (6) + (0)

The midpoint of AB is M=(3, 1). One endpoint is A=(-1, -1).Find the coordinates of the other endpoint, B.

Answers

Answer:

(7, 3)

Step-by-step explanation:

Given segment AB, where:

A = (-1, -1)

Mid point

M = (3, 1)

Point B = (x, y)

As per mid point formula:

(-1+x)/2 = 3 ⇒ -1 + x = 6 ⇒ x = 6+ 1 = 7
(-1 + y)/2 = 1 ⇒ -1 + y = 2 ⇒ y = 2 + 1 = 3

So, the point B is:

B = (7, 3)

Ernesto has a jump rope that is 10.5 feet long. To make the jump rope the jdeal length for his height, Emesto needs to cut off 0.3 of the jump rope. If Ernesto does this, how much rope will he cut off?

Answers

Answer:wouldnt he cut of 0.3?

Step-by-step explanation:It legit says that in the question and ther will me 10.2 feet left

Answer:

it is c

Step-by-step explanation:

The rectangular prism shown is formed by six intersecting planes.Where do the planes ABFE and EFGH intersect

Answers

The planes ABFE and EFGH intersected by line EF.

What is Prism?

A prism is a polyhedron in geometry made up of an n-sidedpolygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

We have cuboidal prism which have faces ABFE and EFGH.

To find the point for intersecting we have to find a point or line which is common in both planes.

Here the point E and F are common.

But the plane EF is also common

Thus, the intersecting line is line EF.

Learn more about Prism here:

brainly.com/question/29722724

#SPJ2

Answer:

Line EF

Step-by-step explanation:

Planes intersect at lines

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