The first floor of a tiny house has the length of 11 feet. The width of the kitchen feet is 7 feet and the width of the bottom bathroom feet is 4 feet the expression 11(7+4) represents the total area in the square feet.

why an expression to represent a total area as a some of the areas of each room

Answer:

Step-by-step explanation:

area of the kite,

A=(d1*d2)/2

A=(16*21)/2= 168 in^2

choice C

Answer:

The volume is: [tex]V = \frac{\pi}{3}[/tex] cubic units

Step-by-step explanation:

Volume of a solid:

The volume of a solid, given by the function f(x), over an interval between a and b, is given by:

[tex]V = \pi \int_{a}^{b} (f(x))^2 dx[/tex]

y = x, y =1, x = 0

This means that the upper function is y = 1, and the lower function is y = x. So

[tex]f(x) = (1 - x)[/tex]

The lower limit of integration is x = 0.

The upper limit is y = x when y = 1, so x = 1.

Then

[tex]V = \pi \int_{a}^{b} (f(x))^2 dx[/tex]

[tex]V = \pi \int_{0}^{1} (1-x)^2 dx[/tex]

[tex]V = \pi \int_{0}^{1} (1-2x+x^2) dx[/tex]

[tex]V = \pi (x-x^2+\frac{x^3}{3})|_{0}^{1} dx[/tex]

[tex]V = \pi(1 - (1^2) + \frac{1^3}{3})[/tex]

[tex]V = \frac{\pi}{3}[/tex]

Answer:

The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.

Step-by-step explanation:

From Mechanical Physics, we know that absolute velocity of the airplane ([tex]v_{A}[/tex]) is equal to sum of the absolute velocity of the jet steam [tex](v_{J})[/tex] and the relative velocity of the airplane with respect to jet stream (velocity of the airplane in still air) ([tex]v_{A/J}[/tex]). Al velocities are measured in miles per hour. Let suppose that both jet stream and airplanes travels at constant velocity. Now, we construct the following system of linear equations:

Flight with the jet stream

[tex]v_{J}+v_{A/J} = \frac{2700\,mi}{4.5\,h}[/tex]

[tex]v_{J}+v_{A/J} = 600\,\frac{mi}{h}[/tex] (1)

Flight against the jet stream

[tex]v_{J} -v_{A/J} = -\frac{2700\,mi}{6\,h}[/tex]

[tex]v_{J}-v_{A/J} = -450\,\frac{mi}{h}[/tex] (2)

The solution of this system of linear equations is:

[tex]v_{J} = 75\,\frac{mi}{h}[/tex], [tex]v_{A/J} = 525\,\frac{mi}{h}[/tex]

The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.

Answer:

Yes they are correct

Step-by-step explanation:

Answer:

The remainder is 88

Step-by-step explanation:

The Remainder of a Division

We have to find the remainder when we divide 849,400 by 216.

It could be found by doing the long division, but we'll do it with a calculator.

Entering the division in the calculator we get:

849,400/216=3,932.4074...

We take the whole part of the quotient (3,932) and multiply it by the divisor:

3,932*216=849,312

The remainder is obtained by subtracting 849,400-849,312=88

The remainder is 88

Answer:

x is greater than or equal to 3 inches.

Step-by-step explanation:

The required inequality that models the situation of age to grow is given as x ≥ 3.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let the age to be grow be x,
According to the question,
45 + x ≥ 48

Simplifying the above expression,
x ≥ 3

Thus, the required inequality that models the situation of age to grow is given as x ≥ 3.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ2

Answer: $22.61

Step-by-step explanation: A 25% discount means that instead of paying the full value, you will pay 25% less. So the total price you will pay for a CD of $32.99:

P₁ = 32.99 * (1 - 0.25)

P₁ = 32.99 * (0.75)

P₁ = 24.7425

However, you still have a discount of 15% over the price, so:

P₂ = 24.7425 * (1 - 0.15)

P₂ = 24.7425 * (0.85)

P₂ = 21.03

The sales tax is a value incorporated over the price after all the discounts:

P = 21.03 * (1 + 0.075)

P = 21.03 * (1.075)

P = 22.61

The total final price for the CD is $22.61.

Answer:

3. A=(6b)/2

Step-by-step explanation:

Answer:

Obtuse triangle

Step-by-step explanation:

Given

Sides: 6cm, 7cm and 12cm

Angle: 120 degree

Required

Determine the type of triangle

Because the measure of an angle of the triangle was mentioned, we have to classify the triangle by its angle.

From the question, we understand that one of the angles is greater than 90 (i.e. 120 degrees). This type of triangle are referred to as obtuse triangles.

Answer:

The inequality f ≥ 4n +2 is true for all values of 'f'

Step-by-step explanation:

Explanation:-

Let 'f'  represents any number

The set of even integers greater than '4'

f = { 6, 8, 10,12, 14 ,.............}

we have to write the inequality equation

f ≥ 4n +2

Final answer:-

The inequality f ≥ 4n +2 is true for all values of 'f'

Answer:

Step 3 is incorrect

Step-by-step explanation:

4(-1/2x + 7) + 5x = 15

-2x + 28 + 5x = 15

3x + 28 = 15

3x + 28 - 28 = 15 - 28

3x = -13

Answer:

A) 14.3606 ft

B) 2.8112 seconds

Step-by-step explanation:

A) At maximum height which is its peak, the velocity will be zero.

Now, we are given height modeled by;

h(t) = 4.98t² - 14t + 20

v(t) = dh/dt = 9.96t - 14.

At max height which is v(t) = 0, we have;

9.96t - 14 = 0

9.96t = 14

t = 14/9.96

t = 1.4056 s

Thus, height at this time is;

h(1.4056) = 4.98(1.4056)² - 14(1.4056) + 20

h(1.4056) = 14.3606 ft

B) time of flight = 2 × time to get to peak = 2 × 1.4056 = 2.8112 seconds.

Answer:

1/6y^3

Step-by-step explanation:

Answer:

1/6y^3

Step-by-step explanation:

cancel the common factor of y^2 and y^5

Answer:

The answer would be D = 4 or option 2.

Step-by-step explanation:

9/12 = 3/?

First, you want to simplify 9/12

9/12 = 3/4

This shows you that D = 4

Answer:

7,6

Step-by-step explanation:

So in total Peyton must buy 10 items. Since she's already buying 4 drinks. We need to find the amount of tacos the max amount of tacos she can buy are 7 tacos and the minimum is 6 because if we bought less than 6 it wouldn't have met the criteria for 10 items minimum. And if we passed 7 tacos it would go past the limit of how much money Peyton has. I hope this helped:)

Answer:

48

because I know........

Answer:

48

Step-by-step explanation:

60 divided by 100, then times 80 equals to 48

= −1(45p + 22) + −1(4(9p) + 11)

= −1(45p + 22) + −1(4(9p)) + (−1)(11)

= −1(45p + 22) + −36p + −11

= (−1)(45p) + (−1)(22) + −36p + −11

= −45p + −22 + −36p + −11

= −45p + −22 + −36p + −11

= (−45p + −36p) + (−22 + −11)

= −81p + −33

-81p - 33

- Pacific Northwest

Answer:

I'm confused. Is there more to the question?

Answer:

C

Step-by-step explanation:

Answer:

The value of the test statistic is [tex]t = -1.61[/tex]

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Our test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

A publisher reports that 52% of their readers own a laptop.

This means that [tex]\mu = 0.52[/tex]

Sample of 180:

Means that [tex]n = 180[/tex]

By the Central Limit Theorem:

[tex]\frac{\sigma}{\sqrt{n}} = s = \sqrt{\frac{0.52*0.48}{180}} = 0.0372[/tex]

A random sample of 180 found that 46% of the readers owned a laptop.

This means that [tex]X = 0.46[/tex]

Find the value of the test statistic.

[tex]t = \frac{X - \mu}{s}[/tex]

[tex]t = \frac{0.46 - 0.52}{0.0372}[/tex]

[tex]t = -1.61[/tex]

The value of the test statistic is [tex]t = -1.61[/tex]

Answer:

None

Step-by-step explanation:

Answer:

vertex= (0,-4), Axis of symmetry - x= 0,

sorry I don't know the rest and I don't know  if this is even know if this is correct, so good luck I hope someone else can.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:11

Step-by-step explanation: 10 plus 1 equal 11.

Answer:

Step-by-step explanation:

Find the image attached

Since ABCD is a square, <ACB = 45 degrees

Given <ACB = 11x-32

Equate both

11x-32 = 45

11x = 45+32

11x = 77

x = 77/11

x = 7

Hence the value of x is 7

Answer:

(3/2,3)

Step-by-step explanation:

1.Rewrite the equation

y=3 2x=3

2.Solve the equation

y=3 x=3/2

(x,y)=(3/2,3)

Answer:

1). x = 81

2). x = 84

Step-by-step explanation:

1). By applying geometric mean theorem in the given triangle,

   [tex]\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}[/tex]

   56x = (18√14)²

   56x = 4536

   x = [tex]\frac{4536}{56}[/tex]

   x = 81

2). By applying geometric mean theorem,

    [tex]\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}[/tex]

    16x = (8√21)²

    16x = 1344

    x = [tex]\frac{1344}{16}[/tex]

   x = 84

Answer:

The decrease in number of allergic reactions is of 0.3333%.

Step-by-step explanation:

Initial percentage:

Nine out of 1500, so the percentage is:

[tex]\frac{9*100}{1500} = \frac{900}{1500} = 0.6[/tex]

Initially: 0.6% of allergic reactions.

Final percentage:

Four out of 1500, so the percentage is:

[tex]\frac{4*100}{1500} = \frac{400}{1500} = 0.2667[/tex]

WIth the improved formula: 0.2667% of allergic reactions.

What is the percent decrease in number of allergic reactions?

0.6% - 0.2667% = 0.3333%

The decrease in number of allergic reactions is of 0.3333%.

Answer:

3.25 or 3 1/4

Step-by-step explanation:

Remove the parentheses first: 3/4 + (1/3 / 1/6) - (-1/2)

1/3 / 1/6 turns into 1/3 * 6

Reduce the numbers:

3/4 + (1/3 * 6) + 1/2

cross multiplication, 6 divided by 3 = 2.

So the new equation is 3/4 + 2 + 1/2

Then you calculate.

3/4 + 2 + 1/2 = 13/4

13/4 reduced is 3 1/4 or 3.25