12
Use upper rectangles with areas equal to
Marks: 1
Area = f(x) · A3
to estimate the area under the curve of f(x) = x, on the interval from (1,3). Partition the interval into four subintervals. Hint:
Area = (F(1.5) + f(2) + f(2.5) + f(3))Ar = (1.53 +23 +2.53 +33)Az, where Ax =
Choose one answer.
ST
3-1
4
a. 35
b. 42
c. 27
d d. 19

Answer:

The solution of this expression is [tex]x_{1} = -1[/tex] and [tex]x_{2} = -\frac{1}{2}[/tex].

Step-by-step explanation:

The procedure for solution of exercise A is described below:

1) We expand the expression.

2) The resulting expression is rearranged into the form of a second order polynomial.

3) Roots are found by Quadratic Formula.

Step 1:

[tex]2\cdot x \cdot (x+1.5) = -1[/tex]

[tex]2\cdot (x^{2}+1.5\cdot x) = -1[/tex]

[tex]2\cdot x^{2} + 3\cdot x = -1[/tex]

Step 2:

[tex]2\cdot x^{2}+3\cdot x +1 = 0[/tex]

Step 3:

[tex]x_{1, 2} = \frac{-3\pm \sqrt{3^{2}-4\cdot (2)\cdot (1)}}{2\cdot (2)}[/tex]

[tex]x_{1,2} = -\frac{3}{4}\pm \frac{1}{4}[/tex]

[tex]x_{1,2} = \frac{-3\pm 1}{4}[/tex]

The solution of this expression is [tex]x_{1} = -1[/tex] and [tex]x_{2} = -\frac{1}{2}[/tex].

Answer:

30 minutes

Step-by-step explanation:

Walk rate = 88 paces/ minute

Average length of pace = 0.875 m

Time taken to walk 2.31 km ;

The distance in metres :

1000 m = 1 km

2.31 km = (1000 * 2.31) = 2310 m

Recall :

Time taken = distance / speed

Distance walked in a minute = 88 * 0.875 = 77 m

Time taken = 2310 / 77

Time taken = 30 minutes

Answer:

p = -5

every element in the sequence is created by subtracting 3 from the pervious element.

Step-by-step explanation:

I am not sure you put every necessary information here.

but I'd the visible information is truly everything, then it's is trivial.

the difference between 4 and 1 is ... well, -3. meaning we subtract 3 from 4 to get 1.

we suspect this is the rule and keep trying.

1 -3 = -2

hey it works.

and -8 -3 = -11

hey, also correct.

and the difference between -2 and -8 is -6, and when we place another item in between (p), we cut that in half again to -3. so, it is all consistent.

therefore,

p = -2 -3 = -5

the rule is

an = an-1 - 3

Answer:

an = 400*(1/2)^(n - 1) which is C is the most common answer.

Step-by-step explanation:

What did you have to do to get 400 as the first term?

There are two answers.

an = 400 * (1/2)^(n - 1)

an = 400 * (1/2)^n

Which one is the answer?

The answer is the one that leaves 400 as the first term.

a1 = 400*(1/2)^(n-1) should be the answer.

400*(1/2)^n  is unfortunately sometimes used. In which case, the first term is a^0

A1 = 400 (1/2)^(n - 1) is the usual for that describes the series.

Answer:

14

Step-by-step explanation:

19 - 5 = 14

Answer:  [tex]\$202[/tex]

Step-by-step explanation:

Given

Jennifer has $400 more than Brian

Suppose Brian has x amount initially

So, Jennifer has 400+x

If Jennifer gives 20% of her to Brian, then brian would have two-third of the amount Jennifer left with

[tex]\Rightarrow \dfrac{2}{3}\times [400+x](1-0.2)=[400+x](0.2)+x\\\\\Rightarrow \dfrac{2}{3}\times 0.8\times (400+x)=80+0.2x+x\\\\\Rightarrow 213.334+0.533x=80+1.2x\\\Rightarrow 133.334=0.66x\\\Rightarrow x=\$202.02[/tex]

Thus, Brain has [tex]\$202[/tex]

Answer: 5π         OR       15.70796327

Step-by-step explanation:

Formula for circumference is C=2πr (radius)   OR      C=πd    (diameter)

Our radius is 5 units, so our diameter is 10 units

C=10π

However, the question is only asking for length of semicircle

So you have to divide: 10π/2=5π

Answer:

18

Step-by-step explanation:

Find the zeros of the divisor

x-2=0

x=2

Plug 2 into the polynomial

4(2)²-2(2)+6

=16-4+6

=18

Answer:

Step-by-step explanation:

In a kite, the angles between the two non- congruent side have the same degree.

x = 114 degrees

In a quadrilateral the sum of the inner angles is 360 degrees

88 + (114 * 2) + y = 360

88 + 228 + y = 360

316 + y = 360

y = (360 - 316)

y = 44 degrees

Answer:

yes, your answers are correct

Answer:

option A. twelve because hypotenuse angle is equal to perpendicular to the sum base

Answer:

m = negative StartFraction 10 over 4 EndFraction

m = negative five-halves

Step-by-step explanation:

Given equation :

Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction

3/4 + m = - 7/4

Subtracting 3/4 from both sides

3/4 + m - 3/4 = - 7/4 - 3/4

m = - 10/4

m = - 5/2

Answer:

cos Z = 8/17

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = opp / hyp

cos Z = 16/34

cos Z = 8/17

Answer:

N'=(0, 0)

K'=(4,4)

I'=(4, 0)

Answer:

acute angle.

Step-by-step explanation:

because it is 60 degree

Nếu AOB là một đường thẳng thì góc BOC =90°

Answer:

1. velocity

Step-by-step explanation:

that is the answer above

Answer:

P1 =(-6,-2)

P1=8

P2(-4,-1)

P2=5

Answer:

β = 140   - α

we know that the "missing" angle is 40° since 40 + 140 = 180

we also know that the total sum of angles in a triangle is 180

so  β = 180 - 40 - α

or β = 140   - α

Step-by-step explanation:

The length of the arc with a central angle of 205° is 25.03 cm

The formula for calculating the length of an arc is expressed as:

L = rtheta

Given the following parameters

r = 7cm

theta = 205° = 3.57792 radians

L = 7(3.57792)

L = 25.04544

Hence the length of the arc with a central angle of 205° is 25.03 cm

Learn more on length of an arc here: https://brainly.com/question/2005046

Answer:

The given expression will be greater than zero.

Step-by-step explanation:

If a < 0 and b < 0, then 5a^3 is < 0 (5a^3) is negative;

but b^2 is > 0.

Then (5a^3)*(b^2) < 0

and if we divide this quantity by a + b (which is negative), the end result will be > 0.

Answer:

Assuming person A and person B are part of the 7 people, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.

Step-by-step explanation:

There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.

Answer:

u need my help OK bet

Step-by-step explanation:

so heres tge answer

Answer:

is it x(1,4) y(6,1) z(5,2)

give brainliest

Answer:

8,3,-1,3,15

Step-by-step explanation:

y=x^2-1

y(-3)=8

y(-2)=3

y(0)=-1

y(2)=3

y(4)=15

Answer:

A square shaped room contains 12m³of air.If the height of the room is 3m,what is the area of the floor. find the length too.also write the method ka answer

Step-by-step explanation:

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The distance she drove east from the starting point is 54.54 miles.

The given parameters include;

initial displacement of Erica, d₁ = 25 miles south

final position of Erica, d₂ = 60 miles east

The displacement of Erica from the initial position as shown in the diagram is calculated as;

Apply Pythagoras theorem, to solve for x;

x² = d₂² - d₁²

x² = 60² - 25²

x² = 2975

x = √2975

x = 54.54 miles

Therefore, the distance she drove east from the starting point is 54.54 miles.

To learn more about Pythagoras theorem, please visit: https://brainly.com/question/17033407

Answer:

2.6

Step-by-step explanation:

We'll use the Pythagoras theorem to solve this, which states that in a right angle triangle:

h^2 = a^2 + b^2

4^2 = 3^2 +b^2

16= 9 +b^2

16-9= b^2

7= b^2

(take square root in both sides)

b= 2.65

round to nearest 10th = 2.6

answer by Gauthmath

Answer:

Missing side is 2.6

3^2 + x^2 = 4^2

9 + x^2 = 16

-9            -9

x^2 = 7

([tex]\sqrt{x}[/tex])^2 = [tex]\sqrt{7}[/tex]

x = 7

Find the approximation o the square root of 7 in fractions then carry out the long division.

Or

Approx. is 2 3/5 which equals 2 6/10 which equals 2.6

Answer:

19 units

Step-by-step explanation:

count the squares around the shape for the slanted part treat it like a rectangle and just count the squares from the pointy spot to the other side where it stops