7=10+n/2
a.4
b.7
c.-8
d.9

Answer:

18 ft

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

144 = 8w

Divide each side by 8

144/8 =w

18 =w

The integral of the greatest integer function ∫ [x]dx is equivalent to 0.

Given is to integrate the greatest integer function. We can write it as -

∫ [x]dx

We can expand the the integral as -

∫ [x]dx = \(\int\limits^0_b {x} \, dx +\int\limits^c_0 {x} \, dx\), where b = - ∞ and c = ∞

∫ [x]dx = \(\int\limits^0_b {x} \, dx +\int\limits^c_0 {x} \, dx\) =

- ∞ + ...... + (-5) + (-4) + (-3) + (-2) + (-1) + 0 + 1 + 2 + 3 + 4 + 5 + ..... + ∞

{ 1 + 2 + 3 + 4 + 5 + ..... + ∞ } + {- ∞ + ...... + (-5) + (-4) + (-3) + (-2) + (-1)}

{ 1 + 2 + 3 + 4 + 5 + ..... + ∞ } - {∞ + ...... + (5) + (4) + (3) + (2) + (1)}

{ 1 + 2 + 3 + 4 + 5 + ..... + ∞ } - {∞ + ...... + (5) + (4) + (3) + (2) + (1)}

{- 1/12 - (- 1/12)}                     {Ramanujan's infinite sum series}

-1/12 + 1/12

0

To solve more questions on integrals, visit the link-

https://brainly.com/question/18125359

#SPJ1

The equation that is the inverse of 5y+4= (x+3)²+12 is y = -3 ± √(5x - 8)

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

5y+4= (x+3)²+12

Swap x and y in the equation

So, we have

5x + 4= (y + 3)² + 12

When we make the vairiable y the subject, we have

y = -3 ± √(5x - 8)

Hence, the equation that is the inverse of 5y+4= (x+3)²+12 is y = -3 ± √(5x - 8)

Read more about inverse functions at

https://brainly.com/question/3831584

#SPJ1

3 thousands = 3,000 (standard form)

3,000 /10 = 300

Standard form = 300

unit form = 3 hundreds, 0 tens, 0 ones

Answer:

See below

Step-by-step explanation:

\(1) \: \frac{1}{2} \times 5 \times 6 = 15 \: {cm}^{2} \\ \\ 2) \: \frac{1}{2} \times 10 \times 6 = 30 \: {cm}^{2} \\ \\ 3) \: 5 \times 3 = 15 \: {cm}^{2} \\ \\ 4) \: 10 \times 6= 60\: {cm}^{2} \)

Answer:

is this what your looking for?

Answer:

y=1/2x+11

Step-by-step explanation:

use the slope of one half and the point and put them into point slope form.

y-y1 = m(x-x1) or y-16 = 1/2(x-10), distribute 1/2

y-16=1/2x - 5, add 16 to both sides

y = 1/2x + 11

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

x = -36

Step-by-step explanation:

Subtract 9 from 3.2(x−6)=14⋅−6

Multiply 14 by −6.2(x−6)=−84

Divide each term

Simplify the left side.

Move all terms not containing x to the right side of the equation.

x = -42 + 6

Add -42 & 6

x = -36

Answer:

2

Step-by-step explanation:

A quadratic equation has two roots . If we wanna check it from the graph , then , the number of points on which it cuts x axis .

Explanation

We will represent the given parameters in the image below.

Using similar triangles, we can find the height of the flagpole.

We will then cross multiply and solve for x.

Answer: 10.88 meters

Answer:

Marcel's and Stephanie's taxable incomes are less than their annual salaries because they both have a series of tax deductions

Step-by-step explanation:

Option 3 yielded the most money after 10 years is 171.7

Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

A solution of an equation is a value or set of values that satisfy the equation, meaning that when the value(s) is substituted for the variable(s) in the equation, both sides of the equation are equal.

Based on the given equations, Option 1 yielded the most money after 10 years, and Option 3 yielded the most total money by the time you were 60 years old.

After 10 years:

Option 1: 50×(1.09)¹⁰ - 30 =  88.36

Option 2: 50×(1.08)¹⁰ - 20 =  87.94

Option 3: 100×(1.07)¹⁰ - 25 =  171.71

Therefore, Option 3 yielded the most money after 10 years is 171.7

By the time you were 60 years old:

Option 1: 50×(1.09)⁶⁰ - 30 =  8,771.56

Option 2: 50×(1.08)⁶⁰ - 20 =  5,042.85

Option 3: 100×(1.07)⁶⁰ - 25 =  5,769.64

Therefore, Option 1 yielded the most total money by the time you were 60 years old is 8,771.56

To know more about quadratic equation, visit:

https://brainly.com/question/1214333

#SPJ1

The Sum of all 3 needs to equal 1

A. 1/9 + 1/2 + 1/3 = 17/18

B. 1/9 + 2/9 + 1/3 = 6/9 = 2/3

C. 1/6 + 3/9 + 1/3 = 3/18 + 6/18 + 6/18 = 15/18

D. 2/9 + 8/18 + 1/3 = 4/18 + 8/18 + 6/18 = 18/18 = 1

The answer is D

Answer:

1.743

Step-by-step explanation:

Answer: positive correlation likely causal

Step-by-step explanation:

The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

Learn more about index forms at: https://brainly.com/question/15361818

#SPJ1

s = 4

h = 3

C = ?

C = s(3h + 5)

C = 4(3·3 + 5)

C = 4(9 + 5)

C = 4(14)

C = ?

ANSWER: It costs 56 dollars

Answer:

2.56p

Step-by-step explanation

Because the variable is the same for every input, and are all addition, you can just all them all together. You must remember p = 1p

Hope this helps!

-The Business Man

Answer:

2.26p

Step-by-step explanation:

0.7p + p + 0.56 p (The coefficient is 1)

0.7p + 1p + 0.56p (Collect the like terms)

(0.7 + 1 + 0.56)p

Calculate the sum

And this brings you to your answer: 2.26p

Answers Below

1) = 1/5

2) = 1/4

3) = 3/20

4) = 2/25

5) = 1/3

Please Brainly

Answer:

i)1/5

ii)1/2

iii)3/20

iv)1/3

Step-by-step explanation:

Just keep eliminating in all sums as we are multiplying and u will get the ans.

Pls mark me brainliest

Answer:

Step-by-step explanation:

The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:

m = 58 + 7

This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.

Answer:

\(\boxed{Option \ B}\)

Step-by-step explanation:

In the triangle,

Hypotenuse = 13

Opposite = Perpendicular = 5

Adjacent = Base = 12

Now,

Cos B = \(\frac{Adjacent}{Hypotenuse}\)

Cos B = 12/13

If the triangle is just like in the attached file!

Answer:

B) 12/13

Step-by-step explanation:

The measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. It is a process of enlarging the image of an object by some factor.

here we have the scale factor

\(Scale \ Factor=\dfrac{1}{3}\)

Since the triangle, TUV is dilated by the scale factor 1/3 then the sides of triangle will also be in the same dilation so we can write.

\(\dfrac{1}{3}=\dfrac{UV}{U'V'}\)

\(\dfrac{1}{3}=\dfrac{UV}{33}\)

\(UV=11\)

Hence the measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.

To know more about Scale factor follow

https://brainly.com/question/25722260

#SPJ1

Answer:

0=0

Step-by-step explanation:

5(x+2) -3x=2(x+5)

5x+10-3x=2x+10

5x-3x+10=2x+10

2x+10=2x+10

0=0

Answer:

253 units

Step-by-step explanation:

-253 is 253 units behind 0.

According to the information we can infer that the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

To create the scale drawing, we need to convert the real-life dimensions of the football field into centimeters and then apply the scale of 1:2000.

Real-life dimensions:

Converting to centimeters:

Applying the scale of 1:2000:

According to the above, the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

Learn more about scale drawing in: https://brainly.com/question/30771513
#SPJ1