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Answer:

Step-by-step explanation:

Given that:

t          0           1              2          3            4            5           6            7

A'(t)    0.91       0.83       0.76     0.69       0.62      0.58      0.48      0.44

a)  [tex]\Delta x = \dfrac{5-0}{5}[/tex]

[tex]\Delta x = 1[/tex]

[tex]L_ 5= \Delta x ( (A'(0)+A'(1)+A'(2)+A'(3)+A'(4)) \\ \\ = 1 (0.91 + 0.83+ 0.76 +0.69 + 0.62 ) \\\\ L_5 =1( 3.81) \\ \\ \mathbf{L_5 = 3.81}[/tex]

[tex]R_ 5= \Delta x ( (A'(1)+A'(2)+A'(3)+A'(4)+A'(5)) \\ \\ = 1 ( 0.83+ 0.76 +0.69 + 0.62 +0.58) \\\\ R_5 =1( 3.48) \\ \\ \mathbf{R_5 = 3.48}[/tex]

The true statement:

[tex]Since, R_5 = 3.48 \ and \ L_5 = 3.81; \\ \\ Then : R_5 \le \int \limits ^5_0 A'(t) dt \le L_5[/tex]

Answer: $270

Step-by-step explanation:

1. calculate how much he's getting paid per hour

- 360 / 12 = $30

2. calculate  how much he's getting paid for 9 hours

- 30 * 9 = $270

The amount he would be paid for 9 hours of work is  270.

The first step is to determin1 be how much the painter would be paid for 1 hour of work.

Pay for working for 1 hour = 360 / 12 = 30

The pay for 9 hours = 30 x 9 = 270

Answer:

slope- (261)

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

median is the middle number

12, 21, 21, 23, 34, 34, 34, 44, 45, 56, 72, 86, 97, 98

34-44=10

10/2=5

34+5=39

39

Answer:

15% discount

Step-by-step explanation:

200 x .15 is 30 which means that you save 5 dollars more when using that discount rather than just 25.

Given:

A figure of a circle. [tex]KJ=6,KL=x-2,ML=4[/tex].

To find:

The length of KJ.

Solution:

From the given figure it is clear that the number 6 is marked between K and J it means the number 6 represents the distance between the points K and j.

Therefore, the length of KJ is 6 units.

Note: In the given question we need to find KL instead of KJ because KJ is already given.

According to the tangent secant theorem:

[tex]a^2=bc[/tex]

Where,

Using the tangent secant theorem, we get

[tex]ML^2=KL\times JL[/tex]

[tex](4)^2=(x-2)\times (6+x-2)[/tex]

[tex]16=(x-2)\times (4+x)[/tex]

[tex]16=4x+x^2-8-2x[/tex]

On further simplification, we get

[tex]16=x^2+2x-8[/tex]

[tex]0=x^2+2x-8-16[/tex]

[tex]0=x^2+2x-24[/tex]

Splitting the middle term, we get

[tex]x^2+6x-4x-24=0[/tex]

[tex]x(x+6)-4(x+6)=0[/tex]

[tex](x+6)(x-4)=0[/tex]

[tex]x=-6,4[/tex]

For [tex]x=-6[/tex],

[tex]KJ=-6-2[/tex]

[tex]KJ=-8[/tex], which is not possible because side cannot be negative.

For [tex]x=4[/tex],

[tex]KJ=4-2[/tex]

[tex]KJ=2[/tex]

Therefore, the measure of KL is 2 units.

Answer:

Part A: 2.8 miles

Part B: 16.8 miles

Step-by-step explanation:

First, solve for how many miles Ted jogged in 1 day:

Variable x = number of miles

11.2/4 = x/1

Cross multiply

11.2 × 1 = 4 × x

11.2 = 4x

Divide both sides by 4

2.8 = x

He jogged 2.8 miles every day.

To find how many miles Ted would jog in 6 days, simply multiply his miles per day by the number of days he will jog:

2.8 miles × 6 days = 16.8 miles in 6 days

Answer:

Point A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

4 to the right, 1 up is point A

Answer:

See answer below

Step-by-step explanation:

Given the functions f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.

a)(fog)(x) = f(g(x))

f(g(x)) = f(2x^2-5)

f(g(x)) = 5(2x^2-5) - 3

f(g(x)) = 10x²-25-3

f(g(x)) = 10x² - 28

b) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 2(25x²-30x+9)-5

g(f(x)) = 50x²-60x+18-5

g(f(x)) = 50x²-60x+13

c)(fog)(2) = f(g(2))

f(g(x)) = f(2x^2-5)

f(g(2)) = 10(2)² - 28

f(g(2)) = 10(4)-28

f(g(2)) = 12

d) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 50x²-60x+13

g(f(2)) = 50(2)²-60(2)+13

g(f(2)) = 200-120+12

g(f(2)) =80+12

g(f(2)) = 92

Answer:

b and d

Step-by-step explanation:

The equations have at least one integer solution are equation B: √(3x) = 75 and equation D:√x = x - 12.

The value of x is known as the solution.

A.  √(4x) = 5

On squaring, we have

4x = 25

 x = 6.25

The value is not an integer.

B.  √(3x) = 75

On squaring, we have

3x = 5625

 x = 1875

The value is an integer.

C.  8√x = √16

On squaring, we have

64x = 16

    x = 0.25

The value is not an integer.

D.  √x = x - 12

On squaring, we have

          (x - 12)² = x

x² - 24x + 144 = x

x² - 25x + 144 = 0

  (x - 16)(x - 9) = 0

                    x = 9, 16

The value is an integer.

E.  √(10 - x) = x - 2

On squaring, we have

                (x - 2)² = 10 - x

          x² - 4x + 4 = 10 - x

           x² - 3x - 6 = 0

(x - 4.37)(x + 1.37) = 0

                          x = -1.37, 4.37

The value is not an integer.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

Answer:

The answer is A

Step-by-step explanation:

Yep im so smart. You defininetly need this answer a month later ;)

Answer:

GHS 940,000 and GHS 1,410,000

Step-by-step explanation:

Total Ratio, thus 2+3 = 5 = 2,350,000

2/5 × 2,350,000 = 940,000

3/5 × 2,350,000 = 1,410,000

In conclusion, the money was shared at GHS 940,000 and GHS 1,410,000 among the two.

Given that y₁(x) = x is a solution to the given second-order ODE, assume a second solution of the form

y₂(x) = y₁(x) v(x) = x v(x)

Take the first two derivatives and substitute this solution into the ODE:

y₂ = x v

y₂' = x v' + v

y₂'' = (x v'' + v' ) + v' = x v'' + 2 v'

→   (1 - x ²) y₂'' - 2 x y₂' + 2 y₂ = 0

→   (1 - x ²) (x v'' + 2 v' ) - 2 x (x v' + v) + 2 x v = 0

→   (x - x ³) v'' + (2 - 4 x ²) v' = 0

Next, reduce the order by substituting w(x) = v'(x) and w'(x) = v''(x) :

→   (x - x ³) w' + (2 - 4 x ²) w = 0

and now you have a linear equation in w. Solve for w(x) however you like; I'll just separate variables.

Write w'(x) = dw/dx, then separate variables as

(x - x ³) dw/dx + (2 - 4 x ²) w = 0

(x - x ³) dw/dx = (4x ² - 2) w

dw/w = (4x ² - 2) / (x - x ³) dx

Integrate both sides:

∫ dw/w = (4x ² - 2) / (x - x ³) dx

ln|w| = ∫ (4x ² - 2) / (x - x ³) dx

For the remaining integral, expand the integrand into partial fractions.

x - x ³ = x (1 - x ²) = x (1 - x) (1 + x)

→   (4x ² - 2) / (x - x ³) = a /x + b / (1 - x) + c / (1 + x)

→   4x ² - 2 = a (1 - x ²) + b x (1 + x) + c x (1 - x)

→   4x ² - 2 = (-a + b - c) x ² + (b + c) x + a

→   -a + b - c = 4, b + c = 0, a = -2

→   a = -2, b = 1, c = -1

→   (4x ² - 2) / (x - x ³) = -2/x + 1 / (1 - x) - 1 / (1 + x)

Then

ln|w| = ∫ (-2/x + 1 / (1 - x) - 1 / (1 + x)) dx

ln|w| = -2 ln|x| - ln|1 - x| - ln|1 + x| + C

ln|w| = -ln|x ² (1 - x ²)| + C

exp(ln|w|) = exp(-ln|x ² (1 - x ²)| + C )

w = C / (x ² (1 - x ²))

v' = C / (x ² (1 - x ²))

Solve for v(x) by integrating both sides, expanding the right side into partial fractions again:

x ² (1 - x ²) = x ² (1 - x) (1 + x)

→   1 / (x ² (1 - x ²)) = a / x + b / x ² + c / (1 - x) + d / (1 + x)

→   1 = a x (1 - x ²) + b (1 - x ²) + c x ² (1 + x) + d x ² (1 - x)

→   1 = (-a + c - d) x ³ + (-b + c + d) x ² + a x + b

→   -a + c - d = 0, -b + c + d = 0, a = 0, b = 1

→   a = 0, b = 1, c = 1/2, d = 1/2

→   1 / (x ² (1 - x ²)) = 1/x ² + 1/2 (1 / (1 - x) + 1 / (1 + x))

dv/dx = C (1/x ² + 1/2 (1 / (1 - x) + 1 / (1 + x)))

dv = C (1/x ² + 1/2 (1 / (1 - x) + 1 / (1 + x))) dx

Integrate both sides:

∫ dv = ∫ C (1 / x ² + 1/2 (1 / (1 - x) + 1 / (1 + x))) dx

v = C₁ (-1/x - 1/2 ln|1 - x| + 1/2 ln|1 + x|) + C₂

v = C₁ (1/2 ln|(1 + x) / (1 - x)| - 1/x) + C₂

Solve for y₂(x) by multiplying both sides by x :

y₂ = C₁ (1/2 x ln|(1 + x) / (1 - x)| - 1) + C₂ x

Now, y₁(x) = x, so we can omit the last term from the second solution, giving us

y₂(x) = C (1/2 x ln|(1 + x) / (1 - x)| - 1)

Answer:

Drop Out

Step-by-step explanation:

School Sucks

3=x2

Answer:

$55

Step-by-step explanation:

$50 + 0.10($50) = 1.1 * 50 = $55

Answer:

a rooster can't lay eggs

Step-by-step explanation:

a rooster is a male-

Answer:

0, A rooster is a male, it does not lay eggs. Hens lay eggs

Step-by-step explanation:

Answer:

HI is 8 as the equal angles resemble equilateral triangle

rhe angle is 110 as the two equal sides represent isosceles triangle

Step-by-step explanation:

hope it helped!!!

Answer:

2.5 times 60 equals 150. 150-78 equals 72. So the answer is 72.

Step-by-step explanation:

Hope this helps.

Answer:

41.81

Step-by-step explanation:

∠B = arcsin(b·sin(A)a)

= 0.72973 rad = 41.81° = 41°48'37"

∠C = 180° - A - B = 0.84107 rad = 48.19° = 48°11'23"

c = a·sin(C)sin(A)=4.47214 = 2√5

Answer:

Step-by-step explanation:

C sampling

Answer:

On the second day, 50% of the total computer inventory was sold.

Step-by-step explanation:

Since during a sale of computers, one-fourth of the inventory was sold the first day, while the next day two-thirds of the remaining inventory was sold, to determine what percent of the total inventory was sold during the second day, we must perform the following calculations:

1/4 = 0.25 = 25%

Remaining = 100 - 25 = 75%

75/3 = 25 x 2 = 50

Thus, on the second day, 50% of the total computer inventory was sold.

Answer:

The value of g(2.7) is 31.49.

Step-by-step explanation:

Translations of a function:

Suppose that we have a function f(x).

The translation of f(x) a units to the left is given by g(x) = f(x+a).

The translation of f(x) a units to the right is given by g(x) = f(x-a).

The translation of f(x) a units up is given by g(x) = f(x) + a.

The translation of f(x) a units down is given by g(x) = f(x) - a.

Suppose the graph of f(x)=x^2 is translated 3 units right and 1 unit down.

Three units right:

[tex]g(x) = f(x+3) = (x+3)^2[/tex]

One unit down:

[tex]g(x) = f(x+3) - 1 = (x+3)^2 - 1[/tex]

What is the value of g(2.7)?

This is g when [tex]x = 2.7[/tex]. So

[tex]g(2.7) = (2.7+3)^2 - 1 = (5.7)^2 - 1 = 31.49[/tex]

The value of g(2.7) is 31.49.

Answer:

Step-by-step explanation:

that implies a simple multiplication:

snow = (3/4)(6) = 4.5 inch

and note the units elimination in the operation as well:

= [inch/hour][hour] = inch

My fault if im wrong :(

Answer:

0.010

Step-by-step explanation:

there is one 79 in the dice, and since there are 103 numbers in total, you use

1/103

= 0.00970873786

round to thousandths

= 0.010

Answer:

42,500

Step-by-step explanation:

The number which is ten times greater than 4250 is 42, 500.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The number 4,250 is ten times smaller than what number.

let the number be x.

So, x/10 = 4250

Now, make x as subject formula

x = 4250(10)

x= 42500

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

Answer:

528 birds

Step-by-step explanation:

100%-15%= 85% = .85

1400 (.85)^6

= 528

Answer:

Look at the answers bolded below

Step-by-step explanation:

To get the reference angle, just subtract 115° from 180°

180 - 115 = 65

So the reference angle is 65°

I'm not sure how many coterminal angles you need, but to get them you could just add or subtract 360°.

For example, a positive coterminal angle could be:

115 + 360 = 475°

a negative coterminal angle could be:

115 - 360  = -245°

Hope this helped :)

Answer:

negative

Step-by-step explanation:

(-2.1)(3.7)(8)(4.5)= -279.72

Answer:

1. A

2.D

3.B (parallel lines)

4.B

5. i don't have a picture of the figure so i'm not sure