tabia stores her hair bands in a cube shaped container. the cube has a volume of 64 cubic inches. What is the lenght of the edges of the cube? ​

Answer:

The answer is 4x^3 + 2x^2 + 2x

Step-by-step explanation:

To find a subtracted function, simply change all of the signs in the second function and then combine like terms.

f(x) - g(x) = 9x^3 + 2x^2 - 5x + 4 - 5x^3 + 7x - 4

f(x) - g(x) = 4x^3 + 2x^2 + 2x

Answer:

B) linear function with a positive rate of change

Step-by-step explanation:

Each increase by 1 m^2 in area produces the same 0.2 kW increase in power, so the relationship between area and power is linear. Since they both go up (or both go down), the "rate of change" is positive. (If it were negative, one would go down when the other went up.)

The best description is that of B.

Final answer:

The minimum number of books that must contain colored illustrations is 8100.

Explanation:

To find the minimum number of books that must contain colored illustrations, we can use the concept of conditional probability.

The probability of a book having illustrations is 90%, and the probability of an illustration being in color is also 90%. These two probabilities are independent events.

To find the minimum number of books with colored illustrations, we can multiply the probabilities together.

Therefore, the minimum number of books that must contain colored illustrations is 90% x 90% x 10000 = 8100.

[tex]\bf \textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 64x^2-25y^2~~ \begin{cases} 64=8\cdot 8\\ \qquad 8^2\\ 25=5\cdot 5\\ \qquad 5^2 \end{cases}\implies 8^2x^2-5^2y^2\implies (8x)^2-(5y)^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (8x-5y)(8x+5y)~\hfill[/tex]

Answer:

p = w - 8

Step-by-step explanation:

I can find 1p or p by subtracting 8 on both sides of the equation.

We need to isolate the variable p here, so we subtract 8 from both sides.

Answer:6√2  8-9 Irrational number

Answer:

64 and 81, 8 and 9, irrational

Answer:

The total volume of the snowman is [tex]6\pi\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

step 1

Find the volume of the spherical snowball with a diameter of 3 feet

Find the radius

[tex]r=3/2=1.5\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}\pi (1.5)^{3}[/tex]

[tex]V1=\frac{9}{2}\pi\ ft^{3}[/tex]

step 2

Find the volume of the spherical snowball with a diameter of 2 feet

Find the radius

[tex]r=2/2=1\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}\pi (1)^{3}[/tex]

[tex]V2=\frac{4}{3}\pi\ ft^{3}[/tex]

step 3

Find the volume of the spherical snowball with a diameter of 1 feet

Find the radius

[tex]r=1/2=0.5\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}\pi (0.5)^{3}[/tex]

[tex]V3=\frac{1}{6}\pi\ ft^{3}[/tex]

step 4

Find the total volume

[tex]V=V1+V2+V3[/tex]

substitute the values

[tex]V=\frac{9}{2}\pi+\frac{4}{3}\pi+\frac{1}{6}\pi=\frac{27+8+1}{6}\pi=6\pi\ ft^{3}[/tex]

The polynomial remainder theorem gives an immediate answer. It says that the remainder upon dividing [tex]p(x)[/tex] by [tex]x-c[/tex] is exactly [tex]p(c)[/tex]. In this case [tex]q=x+1\implies c=-1[/tex], and we have

[tex]k=p(-1)=(-1)^{999}-(-1)^{100}+3(-1)^9-5=-1-1-3-5=-10[/tex]

Answer:

1

Step-by-step explanation:

find f(2)

    f(2) = 3(2) - 4 = 6 - 4 = 2

Now find h(2)

    h(2) = 8 - 3(2) = 8 - 6 = 2

Now find f(2)/h(2)

  2/2 = 1

Answer:

The statement is True

Step-by-step explanation:

Rhombus is a quadrilateral with the following characteristics;

Answer:

vertically stretched by a factor of 5

Step-by-step explanation:

Multiplying the function value by 5 makes each vertical coordinate 5 times the value it was, so it is 5 times as far away from the x-axis. This has the appearance of stretching the graph vertically by a factor of 5.

_____

Comment on the answer choices

The stretch factor is a "pure number", a ratio of new units to old units. It is "5", not "5 units."

For example, if f(x) is 1 ft (1 unit, where the unit is a foot), then g(x) = 5 ft, the value of f(x) multiplied by 5. It is not 5 ft^2, as you would get if f(x) were multiplied by 5 units, or 5 ft.

The center of the circle is (-4, 5) while the radius is 11 units.

Answer:

50

Step-by-step explanation:

20% is the same as 0.2 times something.

So you can create the equation 0.2x = 10. The solution of this equation is x=50.

Answer:

D. y + 4 = 2x  

Step-by-step explanation:

The graph has a y-intercept at (0, -4).

A. y=16 - 3x/4

if x = 0, y = 16. FALSE.

B. 24 + 3y = 6x

If x = 0, 24 + 3y =     0

                     3y = -24

                       y =    -8. FALSE.

C. 4y + x = 16

If x = 0, 4y = 16

              y =   4. FALSE.

D. y + 4 = 2x

If x = 0, y + 4 =  0

           y       = -4. TRUE.

y = 4 + 2x has the same y-intercept as the graphed line.

Answer:

  $2.25

Step-by-step explanation:

Let c represent the cost of a cup of coffee. Then the total amount paid for 3 cups is ...

  3c + 3c·0.08 = 7.29

  3.24c = 7.29

  c = 7.29/3.24 = 2.25

A cup of coffee costs $2.25.

_____

Comment on "I will give you 100 pointd"

I don't know what a "pointd" is, but I suggest you not make promises you cannot keep.

Answer:

x+5=m

Let x be the number of miles that were run the first time.

Add five to the original number

M is the total number of miles for both weeks

Answer:

$2774.47

Step-by-step explanation:

To find how much Antuan's ending balance will be, we can use the formula for compound interest.

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

The values that we currently have are:

P = 2590

t = 3

n = 4 quarterly

r = 2.3% or 0.023

Now we can plug these values into our formula.

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

[tex]A=2590(1+\dfrac{0.023}{4})^{4(3)}[/tex]

[tex]A=2590(1+0.00575)^{12}[/tex]

[tex]A=2590(1.00575)^{12}[/tex]

[tex]A=2774.47[/tex]

So Antuan's ending balance will be $2774.47.

Answer: 100 cookies approximately.

Step-by-step explanation:

To round to the nearest ten:

- If the digit located in the units place of the number is [tex]<5[/tex], then you must round the number down.

 - If the digit located in the units place of the number is [tex]\geq5[/tex], then you must round the number up.

The digit located in the units place of the number 11 is 1 and [tex]1<5[/tex], therefore you must round the number down to: 10

The digit located in the units place of the number 12 is 2 and [tex]2<5[/tex], therefore you must round the number down to: 10

Multiply 10 by 10 to estimate the total number of cookies:

[tex]Total_{(cookies)}=10*10\\Total_{(cookies)}=100[/tex]

(100 cookies approximately)

Answer:

volume of the given shape  = 896 cubic centimeters.

Step-by-step explanation:

Given a composite figure is made up of a rectangular prism and a square pyramid.

Now we need to find the volume of that composite shape.

So we can find volume of each part then add both to get total volume.

Volume of rectangular prism = (length)(width)(height) = (8)(8)(13)= 832 cubic centimeter

Base area of square pyramid = (length)(width)=(8)(8)=64

Volume of square pyramid. [tex]=\frac{1}{3}\left(Base\ area\right)\left(Height\right)[/tex]

[tex]=\frac{1}{3}\left(64\right)\left(3\right)[/tex]

[tex]=64[/tex]

Then total volume of the given shape = 832+64 = 896 cubic centimeters.

Answer:

a0 - square

a1 - pyramid

Step-by-step explanation:

Answer:

8/3

Step-by-step explanation:

Let S represent the value of 2.666...(repeated). Then 10S will have the value 26.666...(repeated). Subtracting S from 10S, we have ...

10S -S = 26.666... - 2.666... = 24

9S = 24

S = 24/9 = 8/3

The improper fraction equivalent of 2.666...(repeated) is 8/3.

_____

In general, if the number of repeated digits is n, you do this procedure multiplying the number by 10^n before you do the subtraction. The result is a fraction with (10^n)-1 as a denominator. That is, for a 2-digit repeat, the denominator will be 99; for a 6-digit repeat, 999999.

Knowing this, you can immediately recognize that 0.6...(repeated) = 6/9 = 2/3. Then your number 2.666...(repeated) is 2 2/3 = 8/3.

The repeating decimal 2.6 (2.66...) can be simplified as a fraction by setting it equal to a variable, multiplying by a power of 10 to eliminate the decimal, subtracting the original equation, and solving for the variable. This process results in the simplified fraction 8/3.

The number 2.6 repeated refers to the number where the digit 6 repeats indefinitely. To simplify it as a fraction, we can do the following steps:

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Answer:

He will take 1.5 seconds to hit the water

Step-by-step explanation:

* The formula h(t) = -16t² + vt + s

- h is the his height above the water

- v is his initial up-word velocity

- s is his starting height

- t is the time

* When he hits the water h(t) = 0

- because h is his height above the water

∴ -16t² + vt + s = 0

∵ v = 8 ft/s

∵ s = 24 ft

∴ -16t² + 8t + 24 = 0 ⇒ × (-1)

∴ 16t² - 8t - 24 = 0 ⇒ ÷ 8

∴ 2t² - t - 3 = 0 ⇒ by using factorization

∴ (2t - 3)(t + 1) = 0

∴ 2t - 3 = 0 ⇒ 2t = 3 ⇒ t = 3/2 = 1.5 sec

∴ t + 1 = 0 ⇒ t = -1 ⇒ rejected the time is positive value

* He will take 1.5 seconds to hit the water

Answer: The answers is 1.5 second

The length of one side of the stage is 17 feet.

To find the length of one side of a square, we take the square root of the area because the area of a square is equal to side length squared.

So, the calculation is as follows:

Area of square = side imes side

289 square feet = side imes side

Therefore, side =√289

Calculating the square root of 289 gives us the side length:

side = 17 feet

So, to determine the length of one side of a square stage with an area of 289 square feet, we calculate the square root of the area, which results in 17 feet.

Answer:

  37.5 °C

Step-by-step explanation:

The temperature appears to be increasing linearly at the rate of 5 °C in 2 minutes, or 2.5 °C per minute.

1 minute after 4 minutes, when the temperature is 35 °C, we expect it to be 2.5 °C higher, or 37.5 °C.

Answer:

c

Step-by-step explanation:

Answer:

10.) 116.6

Step-by-step explanation:

10.) add 100^2 + 60^2 = c^2

10,000 + 3600 = c^2

√13,600 = √c^2

116.6 = c

hope this helps!!

To express the area of a rectangle with a perimeter of 14 in terms of one side, use the function S = 7a - a² where S is the area and a is one side length.

To find the function that describes the area of a rectangle in terms of one of its sides with a given perimeter, we can follow these steps. Let's say one side length is a; we will then call the other side length b. The perimeter of a rectangle is given by the formula P = 2a + 2b, where P is the perimeter, and a and b are the lengths of the sides of the rectangle.

Given that the perimeter is 14, we can express b in terms of a as follows:

b = (14 - 2a) / 2

Next, to find the area (S) in terms of a, we multiply the two side lengths together.

S = a × b

Substitute b into the area formula:

S = a × ((14 - 2a) / 2)

Simplifying the formula gives us the function for the area in terms of side a:

S = (14a - 2a²) / 2

Which simplifies further to:

S = 7a - a²

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The diagonals of kite KITE intersect at point P. This would be at 44 degrees then.

Answer: 44 degrees

..._..._..._..._..._..._

appreciate

Answer:

$120

Step-by-step explanation:

✯Hello✯

↪  If we know that the original price was 20% more than what was payed for it we can form an equation

↪  80%(x)=96 when we solve this x=120

↪ The original price was 120

↪  We can check this by working out 20% of 120 which is 24 and 120-24-96

HOPE THIS HELPS

❤Gianna❤

3(20×9)+3((24-9)×8)+(10×8)+(9×10)+((20-8)×10)+((24-9)×10)

=3(180)+3(15×8)+80+90+(12×10)+(15×10)

=540+3(120)+170+120+150

=920+360

=1280

Answers

[tex] {1280cm}^{2} [/tex]

Answer:

[tex]S=1964 in^{2}[/tex]

Step-by-step explanation:

The surface of a rectangular prims is defined as

[tex]S=2lw+2wh+2lh[/tex]

Where [tex]l[/tex] is length, [tex]w[/tex] is width and [tex]h[/tex] is height.

In this case, we have a figure formed by two rectangular prism. We are gonna call Surface 1 to the bottoming prism.

Its diemensions are:

[tex]l=24in\\w=10in\\h=8in[/tex]

So, the Surface 1 is

[tex]S_{1}=2(24)(10)+2(10)(8)+2(24)(8)= 480+160+384=1024in^{2}[/tex]

Now, the dimensions of Surface 2 are

[tex]l=9in\\w=10in\\h=20in[/tex]

Replacing all values, its surface is

[tex]S_{2}= 2(9)(10)+2(10)(20)+2(9)(20)=180+400+360=940in^{2}[/tex]

Therefore, the total surface of the whole figure is

[tex]S=1024+940=1964 in^{2}[/tex]

Answer:

Step-by-step explanation:

Call the point of intersection of AA' and BC point X. Then ...

  CX = AC·cos(90°-x) = AC·sin(x)

and the area of AA'C is ...

  area = AC·CX·sin(90°-x) = AC²·sin(x)cos(x) = (1/2)AC²·sin(2x)

Obviously, area is maximized for 2x = π/2, or x = π/4 when AC is fixed.

___

On the other hand, ...

  AC = AB·tan(x)

so the area of the triangle is ...

  area = (1/2)AC²·sin(2x) = (1/2)(AB·tan(x))²·sin(2x) = AB²·sin(x)³/cos(x)

For fixed AB, area approaches infinity as x approaches 90°.

_____

Comment on the attachments

The attached diagrams show AC=1 and B free to move. Values of x around 45° are shown. The number in the middle of the figure is the approximate area of ΔAA'C.