A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor. Find the area of the floor and the volume of the pod.

Answer:

The associative property states that you can add or multiply regardless of how the numbers are grouped.

Step-by-step explanation:

3+4+9=9+3+4=4+9+3 etc

The value of k = 20.

We have the following expression -

[tex]\frac{2}{3} (6k-30)+k=100[/tex]

We have to find the value of K.

We have -

[tex]$log(2)^{z} = \pi[/tex]

z x log(2) = π

z = [tex]$\frac{\pi }{log\;2}[/tex]

z = 10.43

According to the question, we have -

[tex]\frac{2}{3} (6k-30)+k=100[/tex]

[tex]\frac{2}{3}\times 6[/tex](k - 5) + k = 100

4(k - 5) + k = 100

4k - 20 + k = 100

6k = 120

k = 20

Hence, the value of k = 20

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Answer:

10 hundreds or 1 thousand

Step-by-step explanation:

1 hundred is 100. 10 * 100 = 1,000. Just count the zeros in the factors (there's 1 zero in 10 and 2 zeros in 100) and then put them all at the end of the answer to get 3 zeros, which is 1,000, or one thousand.

Answer:

3/4+(-2 1/2)

Exact form -7/4

Decimal form -1.75

mixed number -1 3/4

Answer:

15+(-37)

initial 15

fell 37 so -37

Answer:

B, or the one labeled 15 + (-37)

Step-by-step explanation:

It starts with 15 degrees F, which is positive.

Then, you'd add -37 degrees.

Adding -37 degrees to 15 is the same as subtracting 37 from 15.

Good luck mate :)

Answer:

Your required answer is option is {20}.

Step-by-step explanation:

Hey, there!!

The reason for above answer is we generally find intersections among the sets by extracting the common elements of the sets.

Here,

R = {10,15,20}

S = {20,25}.

Now, 20 is common im both so,

R intersection S = {20}.

Hope it helps...

Answer:

(3, 4).

Step-by-step explanation:

The x coordinate stays the same but the y coordinate becomes 7 - 3 = 4.

Answer:

272,690,813          2,442,810              0.90

national population .      popullation change .      average annual percent change

Step-by-step explanation:

Answer:

99, 664

Step-by-step explanation:

Let company has total x employees.

[tex]29.8 \% \: of \: x = 29700 \\ \\ 0.298x = 29700 \\ \\ x = \frac{29700}{0.298} \\ \\ x = 99,664.4295 \\ \\ x \approx \: 99,664 \: [/tex]

Answer:  99,664 employees in total

Step-by-step explanation:

So if 29.8% of the total people is 29,700  people then we could represent that by the equation.

29.8% * x = 29,700  where x is the total people.

0.298 * x = 29,700

0.298x = 29,700

 x = 99,664.429  

Rounded to the nearest whole number is 99,664

Answer:

Step-by-step explanation:

5(-3)^2 - 2

5(9) - 2

45 - 2 = 43

Answer:

11481.4875 km

Step-by-step explanation:

Given the that :

Galapagos island and Island of Naura are on the equator

Galapagos = 90.30°W

Island of Naura = 166.56°E

Ensuring same bearing is used for both :

Island of Naura = 166.56°E = (360° - 166.56°) = 193.44°W

Hence, we can calculate the difference in the bearing of both locations :

(193.44 - 90.30)°W = 103.14°

Hence the distance between Galapagos and Island of Naura along the equator is :

(Difference in bearing / total bearing) * earth's Circumference

Earth's Circumference = 40,075km

(103.14 / 360) × 40,075

0.2865 × 40,075

= 11481.4875 km

=

Answer:

17 ft

Step-by-step explanation:

the area of a square is length x length, or [tex]length^{2}[/tex]

so, since you already have the area, do the opposite of squaring it, which is finding the square root.

[tex]\sqrt{289}[/tex] = 17

The length of each side of a square is   [tex]17 feet[/tex]  whose area is  [tex]289 ft sq[/tex]. (mentioned in the question).

A square is a four-sided figure in which all sides are equal in length and the measure of each angle is [tex]90^0[/tex]. The area is defined as the space that is contained inside the closed boundary or perimeter or circumference.

We know that the

area of the square = [tex]side \times side[/tex]

[tex]289 ft sq[/tex]     [tex]= side \times side[/tex]

[tex]289 = (side) ^2[/tex]

[tex]\sqrt{289 } = side[/tex]

[tex]17 = side[/tex]

Thus, the length of each side of a square consisting of an area of[tex]289 ft sq[/tex] is [tex]17 feet[/tex]  .

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Answer:

The objectives of the AU are the following: To achieve greater unity, cohesion and solidarity between the African countries and African nations. To defend the sovereignty, territorial integrity and independence of its Member States. To accelerate the political and social-economic integration of the continent.

Step-by-step explanation:

Answer:

because they help people "achieve greater unity"

Answer:

The answer is C.

:)

Step-by-step explanation:

4x − 3= −12x + 13​

4x + 12x = 13 + 3

16x = 16

x = 1

Answer:

X=1

Step-by-step explanation:

I took the k12 test and got it right

have a good life =D

Answer:

ITS UNDEFINED

Step-by-step explanation:

2-3)/2^2 - 4

-1/(4-4)

-1/0

ITS UNDEFINED

Answer:

[tex]\Large \boxed{\mathrm{discontinuous \ with \ a \ point \ discontinuity}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle f(x)=\frac{x-3}{x^2-4}[/tex]

When x = 2.

We can see that the denominator is equal to 0 when the input value is 2.

[tex]2^2-4=4-4=0[/tex]

Obtaining a zero in the denominator indicates a point of discontinuity.

In the graph below, we can see that the function is discontinuous at x = 2.

[tex]\rule[225]{225}{2}[/tex]

Answer:

5.7e+26

If you type in a calculator 19+19 0s + 6 9s multiplied by 3 you will get 5.7e+26.

Answer:

6.2700000 E27 (?)

Hope I helped!

Answer:

the anser of this question for a is 17

Step-by-step explanation:

all sides are the same

Answer:

  (A, B, C) = (8, 17, 23) inches

Step-by-step explanation:

We can let A, B, and C represent the corresponding side lengths. Then we are given ...

  A + B + C = 48 . . . . . . the perimeter is 48 inches

  B = A + 9 . . . . . . . . . . . B is 9 inches longer than A

  C = 2A +7 . . . . . . . . . . the base (remaining side) is 7 inches more than ...

Substituting for B and C in the first equation, we have ...

  A + (A+9) +(2A+7) = 48

  4A = 32 . . . . . . . . . . . . . . collect terms, subtract 16

  A = 8

  B = A+9 = 17

  C = 2A +7 = 23

Side A is 8 inches, side B is 17 inches, and side C is 23 inches.

Answer:

45324÷5=9064

remainder=4

Hope it helps you!!

Answer:

  use "Help"

Step-by-step explanation:

You need to learn how your software expects to see "infinity." It may need to be spelled out "infinity" or abbreviated "inf" or "infty".

For starters, I suggest you use the "Help" link on the page you show. If that doesn't answer the question, then consult with your instructor.

Answer:

X₁=7 ,X₂ = 5

Step-by-step explanation:

a= 1²  b= - 12   c= 35

X =[ ( -b±√b²-4ac ) / 2a]

So, use this formula and get the answer...

   Even if you use the middle term formula, you will get the same answer

Answer:

Step-by-step explanation:

Since ∠3 and ∠4 are supplementary it means the the sum of their angles is equal to 180°

To find the angles add both ∠3 and ∠4 and equate it to 180° solve for x and substitute it into their various expressions

That's

∠3 + ∠4 = 180

5x + 22 + 7x + 2 = 180

12x + 24 = 180°

12x = 180 - 24

12x = 156

Divide both sides by 12

x = 13

So for ∠3

∠3 = 5x + 22

∠3 = 5(13) + 22

= 65 + 22

∠3 = 87°

For ∠4

∠4 = 7x + 2

∠4 = 7(13) + 2

= 91 + 2

∠4 = 93°

We have the answers as

Hope this helps you

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{ m \: ∠ \: 3 = 87 °}}}}[/tex]

[tex] \boxed{ \bold{\boxed{ \sf{m \: ∠4 = 93 °}}}}[/tex]

Step-by-step explanation:

We know that the sum of supplementary angle adds up to 180 °

So,

[tex] \sf{5x + 22 + 7x + 2 = 180°}[/tex]

Collect like terms

⇒[tex] \sf{12x + 22 + 2 = 180°}[/tex]

Add the numbers

⇒[tex] \sf{12x + 24 = 180°}[/tex]

Move 24 to right hand side and change it's sign

⇒[tex] \sf{12x = 180 - 24}[/tex]

Subtract 24 from 180

⇒[tex] \sf{12x = 156}[/tex]

Divide both sides of the equation by 12

⇒[tex] \sf{ \frac{12x}{12} = \frac{156}{12} }[/tex]

Calculate

⇒[tex] \sf{x = 13}[/tex]

Value of x = 13

Now, substituting / Replacing the value of x

[tex] \sf{m ∠ 3 = 5x + 22}[/tex]

⇒[tex] \sf{ m \: ∠ \: 3 = 5 \times 13 + 22}[/tex]

⇒[tex] \sf{m \: ∠ \: 3 = 65 + 22}[/tex]

⇒[tex] \sf{ \: m \: ∠ \: 3 = 87}[/tex]

Again,

[tex] \sf{ \: m \: ∠ \: 4 = 7x + 2 }[/tex]

⇒[tex] \sf{m \: ∠ \: 4 = 7 \times 13 + 2}[/tex]

⇒[tex] \sf{ \: m \: ∠ \: 4 \: = 91 + 2 }[/tex]

⇒[tex] \sf{m \: ∠ \: 4 = 93 }[/tex]

m ∠ 3 = 87

m ∠ 4 = 93

Hope I helped!

Best regards!!

Answer:

[tex]x>-5/2[/tex]

Step-by-step explanation:

So we have:

[tex]8x+3>4(\frac{1}{2}x-3)[/tex]

First, distribute the right:

[tex]8x+3>2x-12[/tex]

Subtract 2x from both sides:

[tex]6x+3>-12[/tex]

Subtract 3 from both sides:

[tex]6x>-15[/tex]

Divide everything by 6:

[tex]x>-15/6[/tex]

Reduce:

[tex]x>-5/2[/tex]

And this is our answer :)

Answer:

So you kinda forgot to mention the part where y = -1/2 but the answer is 157

Step-by-step explanation:

4(x^2 +3) - 2y

replace the variables

4(-6^2 +3) - 2 (-1/2)

use PEMDAS to solve

so parenthesis first and exponents  

4(6x6 +3) -2 (-1/2)

4(36 +3) -2 (-1/2)     (since you multiply a - by a - you get a +)

4(39) -2 (-1/2)          (again - and a - is a positive)

4(39) + 1

156 + 1

157     there it is i got a 5 of 5 on my test and have a nice day :D

Answer:

Step-by-step explanation:

Let be [tex]f(x) = \frac{1}{8\cdot x}\cdot \ln(2\cdot x) -7[/tex], the first and second derivatives of the function are, respectively:

[tex]f'(x) = \frac{\left(\frac{2}{2\cdot x}\right)\cdot 8\cdot x-8\cdot \ln (2\cdot x) }{64\cdot x^{2}}[/tex]

[tex]f'(x) = \frac{8-8\cdot \ln (2\cdot x)}{64\cdot x^{2}}[/tex]

[tex]f'(x) = \frac{1-\ln(2\cdot x)}{8\cdot x^{2}}[/tex]

[tex]f''(x) = \frac{\left(-\frac{2}{2\cdot x} \right)\cdot (8\cdot x^{2})-[1-\ln(2\cdot x)]\cdot (16\cdot x)}{64\cdot x^{4}}[/tex]

[tex]f''(x) = \frac{-8\cdot x-16\cdot x+16\cdot x\cdot \ln (2\cdot x)}{64\cdot x^{4}}[/tex]

[tex]f''(x) = \frac{-24\cdot x+16\cdot x \cdot \ln (2\cdot x)}{64\cdot x^{4}}[/tex]

[tex]f''(x) = -\frac{3}{8\cdot x^{3}}+\frac{\ln (2\cdot x)}{4\cdot x^{3}}[/tex]

Now, let equalise the first derivative to zero and solve the resulting expression:

[tex]\frac{1-\ln(2\cdot x)}{8\cdot x^{2}} = 0[/tex]

[tex]1-\ln(2\cdot x) = 0[/tex]

[tex]\ln(2\cdot x) = 1[/tex]

[tex]\ln 2 +\ln x = 1[/tex]

[tex]\ln x = 1-\ln 2[/tex]

[tex]x = e^{1-\ln 2}[/tex]

[tex]x = \frac{e}{e^{\ln 2}}[/tex]

[tex]x = \frac{e}{2}[/tex]

[tex]x \approx 1.359[/tex]

This result is evaluated at the second derivative expression:

[tex]f''(1.359) =-\frac{3}{8\cdot (1.359)^{3}}+\frac{\ln [2\cdot (1.359)]}{4\cdot (1.359)^{3}}[/tex]

[tex]f''(1.359)\approx -0.050[/tex]

The critical value leads to a critical maximum and there are two intervals:

[tex](0, 1.359)[/tex] - Increasing

[tex](1.359,+\infty )[/tex] - Decreasing

The graphic of the function is presented below as attachment.

Answer:

A

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C(0, 4), T(-6, -3)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

lol

Step-by-step explanation:

personally... great... just mentally depressed and physically wanting to die but i guess that's great

Answer:

A is 1.6 and ion the other ones